%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COM148+1 : TPTP v9.2.1. Released v6.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n015.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:10:35 AM UTC 2026 % Result : Theorem 34.31s 34.57s % Output : Proof 34.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COM148+1 : TPTP v9.2.1. Released v6.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n015.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Mon Jun 1 20:30:49 EDT 2026 % 0.18/0.34 % CPUTime : % 0.33/0.51 %----Proving TF0_NAR, FOF, or CNF % 34.31/34.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.31/34.57 --- Run --no-e-matching --full-saturate-quant at 6... % 34.31/34.57 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.31/34.57 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.31/34.57 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.31/34.57 % SZS status Theorem % 34.31/34.57 % SZS output start Proof % 34.31/34.57 ( % 34.31/34.57 (declare-sort $$unsorted 0) % 34.31/34.57 (declare-const tptp.ve2 $$unsorted) % 34.31/34.57 (declare-const tptp.varrow (-> $$unsorted $$unsorted $$unsorted)) % 34.31/34.57 (declare-const tptp.vgetSomeExp (-> $$unsorted $$unsorted)) % 34.31/34.57 (declare-const tptp.vsomeExp (-> $$unsorted $$unsorted)) % 34.31/34.57 (declare-const tptp.vnoExp $$unsorted) % 34.31/34.57 (declare-const tptp.ve1 $$unsorted) % 34.31/34.57 (declare-const tptp.vsubst (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.31/34.57 (declare-const tptp.vgensym (-> $$unsorted $$unsorted)) % 34.31/34.57 (declare-const tptp.vapp (-> $$unsorted $$unsorted $$unsorted)) % 34.31/34.57 (declare-const tptp.visValue (-> $$unsorted Bool)) % 34.31/34.57 (declare-const tptp.vempty $$unsorted) % 34.31/34.57 (declare-const tptp.vbind (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.31/34.57 (declare-const tptp.vnoType $$unsorted) % 34.31/34.57 (declare-const tptp.visFreeVar (-> $$unsorted $$unsorted Bool)) % 34.31/34.57 (declare-const tptp.vtcheck (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.31/34.57 (declare-const tptp.vsomeType (-> $$unsorted $$unsorted)) % 34.31/34.57 (declare-const tptp.visSomeExp (-> $$unsorted Bool)) % 34.31/34.57 (declare-const tptp.vvar (-> $$unsorted $$unsorted)) % 34.31/34.57 (declare-const tptp.vlookup (-> $$unsorted $$unsorted $$unsorted)) % 34.31/34.57 (declare-const tptp.vabs (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.31/34.57 (declare-const tptp.visSomeType (-> $$unsorted Bool)) % 34.31/34.57 (declare-const tptp.vreduce (-> $$unsorted $$unsorted)) % 34.31/34.57 (declare-const tptp.vgetSomeType (-> $$unsorted $$unsorted)) % 34.31/34.57 (define @t1 () (@var "VVar1" $$unsorted)) % 34.31/34.57 (define @t2 () (@var "VVar0" $$unsorted)) % 34.31/34.57 (define @t3 () (tptp.vvar @t2)) % 34.31/34.57 (define @t4 () (= @t3 (tptp.vvar @t1))) % 34.31/34.57 (define @t5 () (= @t2 @t1)) % 34.31/34.57 (define @t6 () (@var "VExp1" $$unsorted)) % 34.31/34.57 (define @t7 () (@var "VTyp1" $$unsorted)) % 34.31/34.57 (define @t8 () (@var "VExp0" $$unsorted)) % 34.31/34.57 (define @t9 () (@var "VTyp0" $$unsorted)) % 34.31/34.57 (define @t10 () (tptp.vabs @t2 @t9 @t8)) % 34.31/34.57 (define @t11 () (= @t10 (tptp.vabs @t1 @t7 @t6))) % 34.31/34.57 (define @t12 () (= @t8 @t6)) % 34.31/34.57 (define @t13 () (= @t9 @t7)) % 34.31/34.57 (define @t14 () (and @t5 @t13 @t12)) % 34.31/34.57 (define @t15 () (@var "VExp3" $$unsorted)) % 34.31/34.57 (define @t16 () (@var "VExp2" $$unsorted)) % 34.31/34.57 (define @t17 () (tptp.vapp @t8 @t6)) % 34.31/34.57 (define @t18 () (= @t17 (tptp.vapp @t16 @t15))) % 34.31/34.57 (define @t19 () (= @t6 @t15)) % 34.31/34.57 (define @t20 () (= @t8 @t16)) % 34.31/34.57 (define @t21 () (and @t20 @t19)) % 34.31/34.57 (define @t22 () (and (=> @t18 @t21) (=> @t21 @t18))) % 34.31/34.57 (define @t23 () (@list @t8 @t6 @t16 @t15)) % 34.31/34.57 (define @t24 () (forall @t23 @t22)) % 34.31/34.57 (define @t25 () (forall (@list @t2 @t8 @t6) (not (= @t3 @t17)))) % 34.31/34.57 (define @t26 () (forall (@list @t2 @t9 @t8 @t6 @t16) (not (= @t10 (tptp.vapp @t6 @t16))))) % 34.31/34.57 (define @t27 () (tptp.visValue @t8)) % 34.31/34.57 (define @t28 () (@var "Ve" $$unsorted)) % 34.31/34.57 (define @t29 () (@var "VS" $$unsorted)) % 34.31/34.57 (define @t30 () (@var "Vx" $$unsorted)) % 34.31/34.57 (define @t31 () (tptp.vabs @t30 @t29 @t28)) % 34.31/34.57 (define @t32 () (= @t8 @t31)) % 34.31/34.57 (define @t33 () (not @t27)) % 34.31/34.57 (define @t34 () (tptp.vvar @t30)) % 34.31/34.57 (define @t35 () (= @t8 @t34)) % 34.31/34.57 (define @t36 () (@list @t30 @t8)) % 34.31/34.57 (define @t37 () (forall @t36 (=> @t35 @t33))) % 34.31/34.57 (define @t38 () (@var "Ve2" $$unsorted)) % 34.31/34.57 (define @t39 () (@var "Ve1" $$unsorted)) % 34.31/34.57 (define @t40 () (tptp.vapp @t39 @t38)) % 34.31/34.57 (define @t41 () (= @t8 @t40)) % 34.31/34.57 (define @t42 () (@list @t39 @t38 @t8)) % 34.31/34.57 (define @t43 () (forall @t42 (=> @t41 @t33))) % 34.31/34.57 (define @t44 () (@var "Vv" $$unsorted)) % 34.31/34.57 (define @t45 () (= @t30 @t44)) % 34.31/34.57 (define @t46 () (tptp.visFreeVar @t2 @t8)) % 34.31/34.57 (define @t47 () (= @t2 @t44)) % 34.31/34.57 (define @t48 () (tptp.visFreeVar @t44 @t28)) % 34.31/34.57 (define @t49 () (and (not @t45) @t48)) % 34.31/34.57 (define @t50 () (@var "VT" $$unsorted)) % 34.31/34.57 (define @t51 () (or (tptp.visFreeVar @t44 @t39) (tptp.visFreeVar @t44 @t38))) % 34.31/34.57 (define @t52 () (= tptp.vempty tptp.vempty)) % 34.31/34.57 (define @t53 () (@var "VCtx1" $$unsorted)) % 34.31/34.57 (define @t54 () (@var "VCtx0" $$unsorted)) % 34.31/34.57 (define @t55 () (tptp.vbind @t2 @t9 @t54)) % 34.31/34.57 (define @t56 () (= @t55 (tptp.vbind @t1 @t7 @t53))) % 34.31/34.57 (define @t57 () (and @t5 @t13 (= @t54 @t53))) % 34.31/34.57 (define @t58 () (= tptp.vnoType tptp.vnoType)) % 34.31/34.57 (define @t59 () (tptp.vsomeType @t9)) % 34.31/34.57 (define @t60 () (= @t59 (tptp.vsomeType @t7))) % 34.31/34.57 (define @t61 () (@var "VOptTyp0" $$unsorted)) % 34.31/34.57 (define @t62 () (tptp.visSomeType @t61)) % 34.31/34.57 (define @t63 () (= @t61 (tptp.vsomeType @t28))) % 34.31/34.57 (define @t64 () (@var "RESULT" $$unsorted)) % 34.31/34.57 (define @t65 () (= @t64 @t28)) % 34.31/34.57 (define @t66 () (= @t64 tptp.vnoType)) % 34.31/34.57 (define @t67 () (tptp.vlookup @t2 @t54)) % 34.31/34.57 (define @t68 () (= @t64 @t67)) % 34.31/34.57 (define @t69 () (= @t54 tptp.vempty)) % 34.31/34.57 (define @t70 () (= @t2 @t30)) % 34.31/34.57 (define @t71 () (@var "VTy" $$unsorted)) % 34.31/34.57 (define @t72 () (= @t64 (tptp.vsomeType @t71))) % 34.31/34.57 (define @t73 () (@var "Vy" $$unsorted)) % 34.31/34.57 (define @t74 () (= @t30 @t73)) % 34.31/34.57 (define @t75 () (@var "VC" $$unsorted)) % 34.31/34.57 (define @t76 () (tptp.vbind @t73 @t71 @t75)) % 34.31/34.57 (define @t77 () (= @t54 @t76)) % 34.31/34.57 (define @t78 () (and @t70 @t77)) % 34.31/34.57 (define @t79 () (tptp.vlookup @t30 @t75)) % 34.31/34.57 (define @t80 () (= @t64 @t79)) % 34.31/34.57 (define @t81 () (not @t74)) % 34.31/34.57 (define @t82 () (@list @t30)) % 34.31/34.57 (define @t83 () (@var "VTx" $$unsorted)) % 34.31/34.57 (define @t84 () (tptp.vbind @t30 @t83 @t75)) % 34.31/34.57 (define @t85 () (tptp.vtcheck (tptp.vbind @t30 @t83 @t76) @t28 @t50)) % 34.31/34.57 (define @t86 () (@list @t73 @t71 @t30 @t83 @t75 @t28 @t50)) % 34.31/34.57 (define @t87 () (tptp.vsubst @t2 @t8 @t6)) % 34.31/34.57 (define @t88 () (= @t64 @t87)) % 34.31/34.57 (define @t89 () (tptp.vvar @t73)) % 34.31/34.57 (define @t90 () (= @t6 @t89)) % 34.31/34.57 (define @t91 () (= @t8 @t28)) % 34.31/34.57 (define @t92 () (and @t70 @t91 @t90)) % 34.31/34.57 (define @t93 () (= @t64 @t89)) % 34.31/34.57 (define @t94 () (tptp.vsubst @t30 @t28 @t39)) % 34.31/34.57 (define @t95 () (= @t64 (tptp.vapp @t94 (tptp.vsubst @t30 @t28 @t38)))) % 34.31/34.57 (define @t96 () (= @t6 @t40)) % 34.31/34.57 (define @t97 () (tptp.vabs @t73 @t50 @t39)) % 34.31/34.57 (define @t98 () (= @t64 @t97)) % 34.31/34.57 (define @t99 () (= @t6 @t97)) % 34.31/34.57 (define @t100 () (and @t70 @t91 @t99)) % 34.31/34.57 (define @t101 () (@var "Vfresh" $$unsorted)) % 34.31/34.57 (define @t102 () (= @t64 (tptp.vsubst @t30 @t28 (tptp.vabs @t101 @t50 (tptp.vsubst @t73 (tptp.vvar @t101) @t39))))) % 34.31/34.57 (define @t103 () (= @t101 (tptp.vgensym (tptp.vapp (tptp.vapp @t28 @t39) @t34)))) % 34.31/34.57 (define @t104 () (tptp.visFreeVar @t73 @t28)) % 34.31/34.57 (define @t105 () (= @t64 (tptp.vabs @t73 @t50 @t94))) % 34.31/34.57 (define @t106 () (not @t104)) % 34.31/34.57 (define @t107 () (= tptp.vnoExp tptp.vnoExp)) % 34.31/34.57 (define @t108 () (tptp.vsomeExp @t8)) % 34.31/34.57 (define @t109 () (= @t108 (tptp.vsomeExp @t6))) % 34.31/34.57 (define @t110 () (@list @t8)) % 34.31/34.57 (define @t111 () (@var "VOptExp0" $$unsorted)) % 34.31/34.57 (define @t112 () (tptp.visSomeExp @t111)) % 34.31/34.57 (define @t113 () (@list @t111)) % 34.31/34.57 (define @t114 () (tptp.vsomeExp @t28)) % 34.31/34.57 (define @t115 () (= @t111 @t114)) % 34.31/34.57 (define @t116 () (@list @t28 @t111)) % 34.31/34.57 (define @t117 () (forall @t116 (=> @t115 @t112))) % 34.31/34.57 (define @t118 () (= @t64 tptp.vnoExp)) % 34.31/34.57 (define @t119 () (tptp.vreduce @t8)) % 34.31/34.57 (define @t120 () (= @t64 @t119)) % 34.31/34.57 (define @t121 () (=> @t120 @t118)) % 34.31/34.57 (define @t122 () (@var "Ve2red" $$unsorted)) % 34.31/34.57 (define @t123 () (tptp.vabs @t30 @t29 @t39)) % 34.31/34.57 (define @t124 () (= @t64 (tptp.vsomeExp (tptp.vapp @t123 (tptp.vgetSomeExp @t122))))) % 34.31/34.57 (define @t125 () (=> @t120 @t124)) % 34.31/34.57 (define @t126 () (tptp.visSomeExp @t122)) % 34.31/34.57 (define @t127 () (tptp.vreduce @t38)) % 34.31/34.57 (define @t128 () (= @t122 @t127)) % 34.31/34.57 (define @t129 () (and @t128 @t126)) % 34.31/34.57 (define @t130 () (=> @t129 @t125)) % 34.31/34.57 (define @t131 () (tptp.vapp @t123 @t38)) % 34.31/34.57 (define @t132 () (= @t8 @t131)) % 34.31/34.57 (define @t133 () (@list @t38 @t8 @t64 @t30 @t29 @t39 @t122)) % 34.31/34.57 (define @t134 () (forall @t133 (=> @t132 @t130))) % 34.31/34.57 (define @t135 () (tptp.vsomeExp (tptp.vsubst @t30 @t38 @t39))) % 34.31/34.57 (define @t136 () (= @t64 @t135)) % 34.31/34.57 (define @t137 () (=> @t120 @t136)) % 34.31/34.57 (define @t138 () (tptp.visValue @t38)) % 34.31/34.57 (define @t139 () (not @t126)) % 34.31/34.57 (define @t140 () (and @t128 @t139 @t138)) % 34.31/34.57 (define @t141 () (=> @t140 @t137)) % 34.31/34.57 (define @t142 () (@list @t29 @t122 @t8 @t64 @t30 @t38 @t39)) % 34.31/34.57 (define @t143 () (forall @t142 (=> @t132 @t141))) % 34.31/34.57 (define @t144 () (not @t138)) % 34.31/34.57 (define @t145 () (@var "Ve1red" $$unsorted)) % 34.31/34.57 (define @t146 () (= @t64 (tptp.vsomeExp (tptp.vapp (tptp.vgetSomeExp @t145) @t38)))) % 34.31/34.57 (define @t147 () (=> @t120 @t146)) % 34.31/34.57 (define @t148 () (tptp.visSomeExp @t145)) % 34.31/34.57 (define @t149 () (tptp.vreduce @t39)) % 34.31/34.57 (define @t150 () (= @t145 @t149)) % 34.31/34.57 (define @t151 () (and @t150 @t148)) % 34.31/34.57 (define @t152 () (=> @t151 @t147)) % 34.31/34.57 (define @t153 () (@var "VVe10" $$unsorted)) % 34.31/34.57 (define @t154 () (@var "VVS0" $$unsorted)) % 34.31/34.57 (define @t155 () (@var "VVx0" $$unsorted)) % 34.31/34.57 (define @t156 () (tptp.vabs @t155 @t154 @t153)) % 34.31/34.57 (define @t157 () (@list @t155 @t154 @t153)) % 34.31/34.57 (define @t158 () (forall @t157 (not (= @t39 @t156)))) % 34.31/34.57 (define @t159 () (and @t41 @t158)) % 34.31/34.57 (define @t160 () (@list @t39 @t8 @t64 @t145 @t38)) % 34.31/34.57 (define @t161 () (forall @t160 (=> @t159 @t152))) % 34.31/34.57 (define @t162 () (not @t148)) % 34.31/34.57 (define @t163 () (@var "VTyp3" $$unsorted)) % 34.31/34.57 (define @t164 () (@var "VTyp2" $$unsorted)) % 34.31/34.57 (define @t165 () (= (tptp.varrow @t9 @t7) (tptp.varrow @t164 @t163))) % 34.31/34.57 (define @t166 () (and (= @t9 @t164) (= @t7 @t163))) % 34.31/34.57 (define @t167 () (= @t79 (tptp.vsomeType @t50))) % 34.31/34.57 (define @t168 () (tptp.varrow @t29 @t50)) % 34.31/34.57 (define @t169 () (tptp.vtcheck (tptp.vbind @t30 @t29 @t75) @t28 @t50)) % 34.31/34.57 (define @t170 () (tptp.vtcheck @t75 @t38 @t29)) % 34.31/34.57 (define @t171 () (tptp.vtcheck @t75 @t39 @t168)) % 34.31/34.57 (define @t172 () (and @t171 @t170)) % 34.31/34.57 (define @t173 () (= @t28 @t40)) % 34.31/34.57 (define @t174 () (and @t173 @t171 @t170)) % 34.31/34.57 (define @t175 () (@list @t39 @t38 @t29)) % 34.31/34.57 (define @t176 () (exists @t175 @t174)) % 34.31/34.57 (define @t177 () (@var "VT2" $$unsorted)) % 34.31/34.57 (define @t178 () (@var "VT1" $$unsorted)) % 34.31/34.57 (define @t179 () (tptp.vtcheck (tptp.vbind @t30 @t178 @t75) @t38 @t177)) % 34.31/34.57 (define @t180 () (tptp.varrow @t178 @t177)) % 34.31/34.57 (define @t181 () (= @t50 @t180)) % 34.31/34.57 (define @t182 () (tptp.vabs @t30 @t178 @t38)) % 34.31/34.57 (define @t183 () (= @t28 @t182)) % 34.31/34.57 (define @t184 () (and @t183 @t181 @t179)) % 34.31/34.57 (define @t185 () (@list @t30 @t38 @t178 @t177)) % 34.31/34.57 (define @t186 () (exists @t185 @t184)) % 34.31/34.57 (define @t187 () (= @t28 @t34)) % 34.31/34.57 (define @t188 () (and @t187 @t167)) % 34.31/34.57 (define @t189 () (exists @t82 @t188)) % 34.31/34.57 (define @t190 () (or @t189 @t186 @t176)) % 34.31/34.57 (define @t191 () (tptp.vtcheck @t75 @t28 @t50)) % 34.31/34.57 (define @t192 () (=> @t191 @t190)) % 34.31/34.57 (define @t193 () (@list @t28 @t50 @t75)) % 34.31/34.57 (define @t194 () (forall @t193 @t192)) % 34.31/34.57 (define @t195 () (@list @t30 @t29 @t75 @t28 @t50)) % 34.31/34.57 (define @t196 () (@var "Veout" $$unsorted)) % 34.31/34.57 (define @t197 () (tptp.vsomeExp @t196)) % 34.31/34.57 (define @t198 () (tptp.vreduce tptp.ve1)) % 34.31/34.57 (define @t199 () (= @t198 @t197)) % 34.31/34.57 (define @t200 () (@list @t196)) % 34.31/34.57 (define @t201 () (exists @t200 @t199)) % 34.31/34.57 (define @t202 () (tptp.visValue tptp.ve1)) % 34.31/34.57 (define @t203 () (not @t202)) % 34.31/34.57 (define @t204 () (tptp.vtcheck tptp.vempty tptp.ve1 @t50)) % 34.31/34.57 (define @t205 () (and @t204 @t203)) % 34.31/34.57 (define @t206 () (=> @t205 @t201)) % 34.31/34.57 (define @t207 () (@list @t50)) % 34.31/34.57 (define @t208 () (forall @t207 @t206)) % 34.31/34.57 (define @t209 () (tptp.vreduce tptp.ve2)) % 34.31/34.57 (define @t210 () (exists @t200 (= @t209 @t197))) % 34.31/34.57 (define @t211 () (tptp.visValue tptp.ve2)) % 34.31/34.57 (define @t212 () (not @t211)) % 34.31/34.57 (define @t213 () (tptp.vtcheck tptp.vempty tptp.ve2 @t50)) % 34.31/34.57 (define @t214 () (and @t213 @t212)) % 34.31/34.57 (define @t215 () (=> @t214 @t210)) % 34.31/34.57 (define @t216 () (forall @t207 @t215)) % 34.31/34.57 (define @t217 () (tptp.vapp tptp.ve1 tptp.ve2)) % 34.31/34.57 (define @t218 () (tptp.vreduce @t217)) % 34.31/34.57 (define @t219 () (exists @t200 (= @t218 @t197))) % 34.31/34.57 (define @t220 () (tptp.visValue @t217)) % 34.31/34.57 (define @t221 () (not @t220)) % 34.31/34.57 (define @t222 () (tptp.vtcheck tptp.vempty @t217 @t50)) % 34.31/34.57 (define @t223 () (and @t222 @t221)) % 34.31/34.57 (define @t224 () (=> @t223 @t219)) % 34.31/34.57 (define @t225 () (forall @t207 @t224)) % 34.31/34.57 (define @t226 () (not @t225)) % 34.31/34.57 (define @t227 () (not @t170)) % 34.31/34.57 (define @t228 () (not @t171)) % 34.31/34.57 (define @t229 () (not @t173)) % 34.31/34.57 (define @t230 () (or @t229 @t228 @t227)) % 34.31/34.57 (define @t231 () (not (forall @t175 @t230))) % 34.31/34.57 (define @t232 () (not @t179)) % 34.31/34.57 (define @t233 () (not @t181)) % 34.31/34.57 (define @t234 () (not @t183)) % 34.31/34.57 (define @t235 () (or @t234 @t233 @t232)) % 34.31/34.57 (define @t236 () (not (forall @t185 @t235))) % 34.31/34.57 (define @t237 () (not (forall @t82 (or (not @t187) (not @t167))))) % 34.31/34.57 (define @t238 () (not @t191)) % 34.31/34.57 (define @t239 () (or @t238 @t237 @t236 @t231)) % 34.31/34.57 (define @t240 () (or @t237 @t236 @t231)) % 34.31/34.57 (define @t241 () (forall @t175 (not @t174))) % 34.31/34.57 (define @t242 () (not @t241)) % 34.31/34.57 (define @t243 () (forall @t185 (not @t184))) % 34.31/34.57 (define @t244 () (not @t243)) % 34.31/34.57 (define @t245 () (forall @t82 (not @t188))) % 34.31/34.57 (define @t246 () (not @t245)) % 34.31/34.57 (define @t247 () (not (tptp.vtcheck tptp.vempty @t38 @t29))) % 34.31/34.57 (define @t248 () (not @t222)) % 34.31/34.57 (define @t249 () (forall @t207 @t248)) % 34.31/34.57 (define @t250 () (@quantifiers_skolemize @t249 0)) % 34.31/34.57 (define @t251 () (not (tptp.vtcheck tptp.vempty @t39 (tptp.varrow @t29 @t250)))) % 34.31/34.57 (define @t252 () (not (= @t217 @t40))) % 34.31/34.57 (define @t253 () (or @t252 @t251 @t247)) % 34.31/34.57 (define @t254 () (forall @t175 @t253)) % 34.31/34.57 (define @t255 () (not @t254)) % 34.31/34.57 (define @t256 () (not (tptp.vtcheck (tptp.vbind @t30 @t178 tptp.vempty) @t38 @t177))) % 34.31/34.57 (define @t257 () (not (= @t250 @t180))) % 34.31/34.57 (define @t258 () (not (= @t217 @t182))) % 34.31/34.57 (define @t259 () (or @t258 @t257 @t256)) % 34.31/34.57 (define @t260 () (forall @t185 @t259)) % 34.31/34.57 (define @t261 () (not @t260)) % 34.31/34.57 (define @t262 () (tptp.vsomeType @t250)) % 34.31/34.57 (define @t263 () (tptp.vlookup @t30 tptp.vempty)) % 34.31/34.57 (define @t264 () (not (= @t263 @t262))) % 34.31/34.57 (define @t265 () (not (= @t217 @t34))) % 34.31/34.57 (define @t266 () (or @t265 @t264)) % 34.31/34.57 (define @t267 () (forall @t82 @t266)) % 34.31/34.57 (define @t268 () (not @t267)) % 34.31/34.57 (define @t269 () (tptp.vtcheck tptp.vempty @t217 @t250)) % 34.31/34.57 (define @t270 () (not @t269)) % 34.31/34.57 (define @t271 () (or @t270 @t268 @t261 @t255)) % 34.31/34.57 (define @t272 () (forall @t193 @t239)) % 34.31/34.57 (define @t273 () (forall @t175 (or (not (= @t40 @t217)) @t251 @t247))) % 34.31/34.57 (define @t274 () (not @t273)) % 34.31/34.57 (define @t275 () (forall @t185 (or (not (= @t182 @t217)) (not (= @t180 @t250)) @t256))) % 34.31/34.57 (define @t276 () (not @t275)) % 34.31/34.57 (define @t277 () (forall @t82 (or (not (= @t34 @t217)) @t264))) % 34.31/34.57 (define @t278 () (not @t277)) % 34.31/34.57 (define @t279 () (or @t270 @t278 @t276 @t274)) % 34.31/34.57 (define @t280 () (@list false)) % 34.31/34.57 (define @t281 () (@list @t272)) % 34.31/34.57 (define @t282 () (@quantifiers_skolemize @t275 1)) % 34.31/34.57 (define @t283 () (@quantifiers_skolemize @t275 2)) % 34.31/34.57 (define @t284 () (@quantifiers_skolemize @t275 0)) % 34.31/34.57 (define @t285 () (tptp.vabs @t284 @t283 @t282)) % 34.31/34.57 (define @t286 () (not (= @t285 @t217))) % 34.31/34.57 (define @t287 () (= @t217 @t285)) % 34.31/34.57 (define @t288 () (not @t287)) % 34.31/34.57 (define @t289 () (@quantifiers_skolemize @t275 3)) % 34.31/34.57 (define @t290 () (not (tptp.vtcheck (tptp.vbind @t284 @t283 tptp.vempty) @t282 @t289))) % 34.31/34.57 (define @t291 () (tptp.varrow @t283 @t289)) % 34.31/34.57 (define @t292 () (or @t288 (not (= @t250 @t291)) @t290)) % 34.31/34.57 (define @t293 () (@list true)) % 34.31/34.57 (define @t294 () (not @t292)) % 34.31/34.57 (define @t295 () (not (= @t291 @t250))) % 34.31/34.57 (define @t296 () (or @t286 @t295 @t290)) % 34.31/34.57 (define @t297 () (not @t296)) % 34.31/34.57 (define @t298 () (@quantifiers_skolemize @t277 0)) % 34.31/34.57 (define @t299 () (tptp.vvar @t298)) % 34.31/34.57 (define @t300 () (not (= @t299 @t217))) % 34.31/34.57 (define @t301 () (= @t217 @t299)) % 34.31/34.57 (define @t302 () (not @t301)) % 34.31/34.57 (define @t303 () (tptp.vlookup @t298 tptp.vempty)) % 34.31/34.57 (define @t304 () (or @t302 (not (= @t262 @t303)))) % 34.31/34.57 (define @t305 () (not @t304)) % 34.31/34.57 (define @t306 () (not (= @t303 @t262))) % 34.31/34.57 (define @t307 () (or @t300 @t306)) % 34.31/34.57 (define @t308 () (not @t307)) % 34.31/34.57 (define @t309 () (= @t197 @t218)) % 34.31/34.57 (define @t310 () (forall @t200 (not @t309))) % 34.31/34.57 (define @t311 () (not @t310)) % 34.31/34.57 (define @t312 () (or @t220 @t311 @t248)) % 34.31/34.57 (define @t313 () (or @t248 @t220 @t311)) % 34.31/34.57 (define @t314 () (not @t249)) % 34.31/34.57 (define @t315 () (not @t270)) % 34.31/34.57 (define @t316 () (@quantifiers_skolemize @t273 2)) % 34.31/34.57 (define @t317 () (@quantifiers_skolemize @t273 1)) % 34.31/34.57 (define @t318 () (tptp.vtcheck tptp.vempty @t317 @t316)) % 34.31/34.57 (define @t319 () (not @t318)) % 34.31/34.57 (define @t320 () (tptp.varrow @t316 @t250)) % 34.31/34.57 (define @t321 () (@quantifiers_skolemize @t273 0)) % 34.31/34.57 (define @t322 () (tptp.vtcheck tptp.vempty @t321 @t320)) % 34.31/34.57 (define @t323 () (not @t322)) % 34.31/34.57 (define @t324 () (tptp.vapp @t321 @t317)) % 34.31/34.57 (define @t325 () (= @t217 @t324)) % 34.31/34.57 (define @t326 () (not @t325)) % 34.31/34.57 (define @t327 () (or @t326 @t323 @t319)) % 34.31/34.57 (define @t328 () (not @t327)) % 34.31/34.57 (define @t329 () (not (= @t324 @t217))) % 34.31/34.57 (define @t330 () (or @t329 @t323 @t319)) % 34.31/34.57 (define @t331 () (not @t330)) % 34.31/34.57 (define @t332 () (@list @t327)) % 34.31/34.57 (define @t333 () (@var "BOUND_VARIABLE_8126" $$unsorted)) % 34.31/34.57 (define @t334 () (@var "BOUND_VARIABLE_8122" $$unsorted)) % 34.31/34.57 (define @t335 () (@var "BOUND_VARIABLE_8124" $$unsorted)) % 34.31/34.57 (define @t336 () (@var "BOUND_VARIABLE_8120" $$unsorted)) % 34.31/34.57 (define @t337 () (forall (@list @t336 @t334 @t335 @t333) (or (not (= (tptp.vapp @t336 @t334) (tptp.vapp @t335 @t333))) (and (= @t336 @t335) (= @t334 @t333))))) % 34.31/34.57 (define @t338 () (@var "BOUND_VARIABLE_8144" $$unsorted)) % 34.31/34.57 (define @t339 () (@var "BOUND_VARIABLE_8142" $$unsorted)) % 34.31/34.57 (define @t340 () (@list @t339 @t338)) % 34.31/34.57 (define @t341 () (tptp.vapp @t339 @t338)) % 34.31/34.57 (define @t342 () (not (= @t338 @t338))) % 34.31/34.57 (define @t343 () (or @t342 (= @t341 @t341))) % 34.31/34.57 (define @t344 () (@var "BOUND_VARIABLE_8140" $$unsorted)) % 34.31/34.57 (define @t345 () (tptp.vapp @t339 @t344)) % 34.31/34.57 (define @t346 () (= @t341 @t345)) % 34.31/34.57 (define @t347 () (not (= @t344 @t338))) % 34.31/34.57 (define @t348 () (or @t347 @t347 @t346)) % 34.31/34.57 (define @t349 () (@list @t344)) % 34.31/34.57 (define @t350 () (or @t347 @t346)) % 34.31/34.57 (define @t351 () (forall @t349 @t350)) % 34.31/34.57 (define @t352 () (forall @t340 @t351)) % 34.31/34.57 (define @t353 () (forall (@list @t339 @t338 @t344) @t350)) % 34.31/34.57 (define @t354 () (@list @t344 @t339 @t338)) % 34.31/34.57 (define @t355 () (not (= @t339 @t339))) % 34.31/34.57 (define @t356 () (or @t355 @t347 (= @t345 @t341))) % 34.31/34.57 (define @t357 () (@var "BOUND_VARIABLE_8138" $$unsorted)) % 34.31/34.57 (define @t358 () (= (tptp.vapp @t357 @t344) @t341)) % 34.31/34.57 (define @t359 () (not (= @t357 @t339))) % 34.31/34.57 (define @t360 () (or @t359 @t359 @t347 @t358)) % 34.31/34.57 (define @t361 () (@list @t357)) % 34.31/34.57 (define @t362 () (or @t359 @t347 @t358)) % 34.31/34.57 (define @t363 () (forall @t361 @t362)) % 34.31/34.57 (define @t364 () (forall @t354 @t363)) % 34.31/34.57 (define @t365 () (forall (@list @t344 @t339 @t338 @t357) @t362)) % 34.31/34.57 (define @t366 () (forall (@list @t357 @t344 @t339 @t338) @t362)) % 34.31/34.57 (define @t367 () (not @t19)) % 34.31/34.57 (define @t368 () (not @t20)) % 34.31/34.57 (define @t369 () (or @t368 @t367 @t18)) % 34.31/34.57 (define @t370 () (forall @t23 @t369)) % 34.31/34.57 (define @t371 () (@list @t8 @t6 @t16 @t15)) % 34.31/34.57 (define @t372 () (or (not @t18) @t21)) % 34.31/34.57 (define @t373 () (forall @t23 @t372)) % 34.31/34.57 (define @t374 () (and @t373 @t370)) % 34.31/34.57 (define @t375 () (= tptp.ve2 @t317)) % 34.31/34.57 (define @t376 () (= tptp.ve1 @t321)) % 34.31/34.57 (define @t377 () (and @t376 @t375)) % 34.31/34.57 (define @t378 () (or @t326 @t377)) % 34.31/34.57 (define @t379 () (@list false false)) % 34.31/34.57 (define @t380 () (not @t377)) % 34.31/34.57 (define @t381 () (@list @t377)) % 34.31/34.57 (define @t382 () (tptp.visSomeExp @t114)) % 34.31/34.57 (define @t383 () (not (= @t114 @t114))) % 34.31/34.57 (define @t384 () (or @t383 @t382)) % 34.31/34.57 (define @t385 () (@list @t28)) % 34.31/34.57 (define @t386 () (not @t115)) % 34.31/34.57 (define @t387 () (or @t386 @t386 @t112)) % 34.31/34.57 (define @t388 () (or @t386 @t112)) % 34.31/34.57 (define @t389 () (forall @t113 @t388)) % 34.31/34.57 (define @t390 () (forall @t385 @t389)) % 34.31/34.57 (define @t391 () (forall @t200 (not @t199))) % 34.31/34.57 (define @t392 () (@quantifiers_skolemize @t391 0)) % 34.31/34.57 (define @t393 () (tptp.vsomeExp (tptp.vapp (tptp.vgetSomeExp @t149) @t38))) % 34.31/34.57 (define @t394 () (tptp.vreduce @t40)) % 34.31/34.57 (define @t395 () (= @t394 @t393)) % 34.31/34.57 (define @t396 () (not (tptp.visSomeExp @t149))) % 34.31/34.57 (define @t397 () (not @t158)) % 34.31/34.57 (define @t398 () (or @t397 @t396 @t395)) % 34.31/34.57 (define @t399 () (not (= @t394 @t394))) % 34.31/34.57 (define @t400 () (or @t397 @t396 @t399 @t395)) % 34.31/34.57 (define @t401 () (@list @t39 @t38)) % 34.31/34.57 (define @t402 () (= @t64 @t393)) % 34.31/34.57 (define @t403 () (not (= @t64 @t394))) % 34.31/34.57 (define @t404 () (or @t403 @t397 @t396 @t403 @t402)) % 34.31/34.57 (define @t405 () (@list @t64)) % 34.31/34.57 (define @t406 () (or @t397 @t396 @t403 @t402)) % 34.31/34.57 (define @t407 () (forall @t405 @t406)) % 34.31/34.57 (define @t408 () (forall @t401 @t407)) % 34.31/34.57 (define @t409 () (forall (@list @t39 @t38 @t64) @t406)) % 34.31/34.57 (define @t410 () (@list @t39 @t64 @t38)) % 34.31/34.57 (define @t411 () (not (= @t149 @t149))) % 34.31/34.57 (define @t412 () (or @t397 @t411 @t396 @t403 @t402)) % 34.31/34.57 (define @t413 () (not @t150)) % 34.31/34.57 (define @t414 () (or @t413 @t397 @t413 @t162 @t403 @t146)) % 34.31/34.57 (define @t415 () (@list @t145)) % 34.31/34.57 (define @t416 () (or @t397 @t413 @t162 @t403 @t146)) % 34.31/34.57 (define @t417 () (forall @t415 @t416)) % 34.31/34.57 (define @t418 () (forall @t410 @t417)) % 34.31/34.57 (define @t419 () (forall (@list @t39 @t64 @t38 @t145) @t416)) % 34.31/34.57 (define @t420 () (@list @t39 @t64 @t145 @t38)) % 34.31/34.57 (define @t421 () (not (= @t40 @t40))) % 34.31/34.57 (define @t422 () (or @t421 @t397 @t413 @t162 @t403 @t146)) % 34.31/34.57 (define @t423 () (not @t120)) % 34.31/34.57 (define @t424 () (not @t41)) % 34.31/34.57 (define @t425 () (or @t424 @t424 @t397 @t413 @t162 @t423 @t146)) % 34.31/34.57 (define @t426 () (or @t424 @t397 @t413 @t162 @t423 @t146)) % 34.31/34.57 (define @t427 () (forall @t110 @t426)) % 34.31/34.57 (define @t428 () (forall @t420 @t427)) % 34.31/34.57 (define @t429 () (forall (@list @t39 @t64 @t145 @t38 @t8) @t426)) % 34.31/34.57 (define @t430 () (or @t413 @t162 @t423 @t146)) % 34.31/34.57 (define @t431 () (tptp.vapp (tptp.vgetSomeExp @t198) tptp.ve2)) % 34.31/34.57 (define @t432 () (tptp.vsomeExp @t431)) % 34.31/34.57 (define @t433 () (= @t218 @t432)) % 34.31/34.57 (define @t434 () (tptp.visSomeExp @t198)) % 34.31/34.57 (define @t435 () (not @t434)) % 34.31/34.57 (define @t436 () (not (= tptp.ve1 @t156))) % 34.31/34.57 (define @t437 () (forall @t157 @t436)) % 34.31/34.57 (define @t438 () (not @t437)) % 34.31/34.57 (define @t439 () (or @t438 @t435 @t433)) % 34.31/34.57 (define @t440 () (forall @t401 @t398)) % 34.31/34.57 (define @t441 () (forall @t157 (not (= @t156 tptp.ve1)))) % 34.31/34.57 (define @t442 () (not @t441)) % 34.31/34.57 (define @t443 () (or @t442 @t435 @t433)) % 34.31/34.57 (define @t444 () (not (= @t432 @t218))) % 34.31/34.57 (define @t445 () (@list @t310)) % 34.31/34.57 (define @t446 () (@quantifiers_skolemize @t441 2)) % 34.31/34.57 (define @t447 () (@quantifiers_skolemize @t441 1)) % 34.31/34.57 (define @t448 () (@quantifiers_skolemize @t441 0)) % 34.31/34.57 (define @t449 () (tptp.vabs @t448 @t447 @t446)) % 34.31/34.57 (define @t450 () (tptp.vapp @t449 (tptp.vgetSomeExp @t209))) % 34.31/34.57 (define @t451 () (tptp.vsomeExp @t450)) % 34.31/34.57 (define @t452 () (not (= @t451 @t218))) % 34.31/34.57 (define @t453 () (= @t218 @t451)) % 34.31/34.57 (define @t454 () (not @t453)) % 34.31/34.57 (define @t455 () (tptp.vapp @t449 tptp.ve2)) % 34.31/34.57 (define @t456 () (tptp.vreduce @t455)) % 34.31/34.57 (define @t457 () (= @t456 @t451)) % 34.31/34.57 (define @t458 () (not @t457)) % 34.31/34.57 (define @t459 () (not @t375)) % 34.31/34.57 (define @t460 () (not @t376)) % 34.31/34.57 (define @t461 () (= tptp.ve1 @t449)) % 34.31/34.57 (define @t462 () (not @t461)) % 34.31/34.57 (define @t463 () (and @t461 @t325 @t376 @t375 @t454)) % 34.31/34.57 (define @t464 () (tptp.vsubst @t448 tptp.ve2 @t446)) % 34.31/34.57 (define @t465 () (tptp.vsomeExp @t464)) % 34.31/34.57 (define @t466 () (not (= @t465 @t218))) % 34.31/34.57 (define @t467 () (= @t218 @t465)) % 34.31/34.57 (define @t468 () (not @t467)) % 34.31/34.57 (define @t469 () (= @t456 @t465)) % 34.31/34.57 (define @t470 () (not @t469)) % 34.31/34.57 (define @t471 () (and @t461 @t325 @t376 @t375 @t468)) % 34.31/34.57 (define @t472 () (tptp.vsomeExp (tptp.vapp @t123 (tptp.vgetSomeExp @t127)))) % 34.31/34.57 (define @t473 () (tptp.vreduce @t131)) % 34.31/34.57 (define @t474 () (= @t473 @t472)) % 34.31/34.57 (define @t475 () (tptp.visSomeExp @t127)) % 34.31/34.57 (define @t476 () (not @t475)) % 34.31/34.57 (define @t477 () (not (= @t473 @t473))) % 34.31/34.57 (define @t478 () (or @t476 @t477 @t474)) % 34.31/34.57 (define @t479 () (@list @t38 @t30 @t29 @t39)) % 34.31/34.57 (define @t480 () (= @t64 @t472)) % 34.31/34.57 (define @t481 () (not (= @t64 @t473))) % 34.31/34.57 (define @t482 () (or @t481 @t476 @t481 @t480)) % 34.31/34.57 (define @t483 () (or @t476 @t481 @t480)) % 34.31/34.57 (define @t484 () (forall @t405 @t483)) % 34.31/34.57 (define @t485 () (forall @t479 @t484)) % 34.31/34.57 (define @t486 () (forall (@list @t38 @t30 @t29 @t39 @t64) @t483)) % 34.31/34.57 (define @t487 () (@list @t38 @t64 @t30 @t29 @t39)) % 34.31/34.57 (define @t488 () (not (= @t127 @t127))) % 34.31/34.57 (define @t489 () (or @t488 @t476 @t481 @t480)) % 34.31/34.57 (define @t490 () (not @t128)) % 34.31/34.57 (define @t491 () (or @t490 @t490 @t139 @t481 @t124)) % 34.31/34.57 (define @t492 () (@list @t122)) % 34.31/34.57 (define @t493 () (or @t490 @t139 @t481 @t124)) % 34.31/34.57 (define @t494 () (forall @t492 @t493)) % 34.31/34.57 (define @t495 () (forall @t487 @t494)) % 34.31/34.57 (define @t496 () (@list @t38 @t64 @t30 @t29 @t39 @t122)) % 34.31/34.57 (define @t497 () (not (= @t131 @t131))) % 34.31/34.57 (define @t498 () (or @t497 @t490 @t139 @t481 @t124)) % 34.31/34.57 (define @t499 () (not @t132)) % 34.31/34.57 (define @t500 () (or @t499 @t499 @t490 @t139 @t423 @t124)) % 34.31/34.57 (define @t501 () (or @t499 @t490 @t139 @t423 @t124)) % 34.31/34.57 (define @t502 () (forall @t110 @t501)) % 34.31/34.57 (define @t503 () (forall @t496 @t502)) % 34.31/34.57 (define @t504 () (forall (@list @t38 @t64 @t30 @t29 @t39 @t122 @t8) @t501)) % 34.31/34.57 (define @t505 () (or @t490 @t139 @t423 @t124)) % 34.31/34.57 (define @t506 () (tptp.visSomeExp @t209)) % 34.31/34.57 (define @t507 () (not @t506)) % 34.31/34.57 (define @t508 () (or @t507 @t457)) % 34.31/34.57 (define @t509 () (= @t135 @t473)) % 34.31/34.57 (define @t510 () (or @t475 @t144 @t509)) % 34.31/34.57 (define @t511 () (or @t475 @t144 @t477 (= @t473 @t135))) % 34.31/34.57 (define @t512 () (@list @t29 @t30 @t38 @t39)) % 34.31/34.57 (define @t513 () (or @t481 @t475 @t144 @t481 @t136)) % 34.31/34.57 (define @t514 () (or @t475 @t144 @t481 @t136)) % 34.31/34.57 (define @t515 () (forall @t405 @t514)) % 34.31/34.57 (define @t516 () (forall @t512 @t515)) % 34.31/34.57 (define @t517 () (forall (@list @t29 @t30 @t38 @t39 @t64) @t514)) % 34.31/34.57 (define @t518 () (@list @t29 @t64 @t30 @t38 @t39)) % 34.31/34.57 (define @t519 () (or @t488 @t475 @t144 @t481 @t136)) % 34.31/34.57 (define @t520 () (or @t490 @t490 @t126 @t144 @t481 @t136)) % 34.31/34.57 (define @t521 () (or @t490 @t126 @t144 @t481 @t136)) % 34.31/34.57 (define @t522 () (forall @t492 @t521)) % 34.31/34.57 (define @t523 () (forall @t518 @t522)) % 34.31/34.57 (define @t524 () (forall (@list @t29 @t64 @t30 @t38 @t39 @t122) @t521)) % 34.31/34.57 (define @t525 () (@list @t29 @t122 @t64 @t30 @t38 @t39)) % 34.31/34.57 (define @t526 () (or @t497 @t490 @t126 @t144 @t481 @t136)) % 34.31/34.57 (define @t527 () (or @t499 @t499 @t490 @t126 @t144 @t423 @t136)) % 34.31/34.57 (define @t528 () (or @t499 @t490 @t126 @t144 @t423 @t136)) % 34.31/34.57 (define @t529 () (forall @t110 @t528)) % 34.31/34.57 (define @t530 () (forall @t525 @t529)) % 34.31/34.57 (define @t531 () (forall (@list @t29 @t122 @t64 @t30 @t38 @t39 @t8) @t528)) % 34.31/34.57 (define @t532 () (or @t490 @t126 @t144 @t423 @t136)) % 34.31/34.57 (define @t533 () (not @t139)) % 34.31/34.57 (define @t534 () (or @t490 @t533 @t144)) % 34.31/34.57 (define @t535 () (or @t506 @t212 (= @t465 @t456))) % 34.31/34.57 (define @t536 () (forall @t512 @t510)) % 34.31/34.57 (define @t537 () (or @t506 @t212 @t469)) % 34.31/34.57 (define @t538 () (tptp.vtcheck tptp.vempty tptp.ve2 @t316)) % 34.31/34.57 (define @t539 () (not @t538)) % 34.31/34.57 (define @t540 () (= true false)) % 34.31/34.57 (define @t541 () (and @t539 @t375 @t318)) % 34.31/34.57 (define @t542 () (not @t213)) % 34.31/34.57 (define @t543 () (forall @t207 @t542)) % 34.31/34.57 (define @t544 () (= @t197 @t209)) % 34.31/34.57 (define @t545 () (forall @t200 (not @t544))) % 34.31/34.57 (define @t546 () (not @t545)) % 34.31/34.57 (define @t547 () (or @t211 @t546 @t542)) % 34.31/34.57 (define @t548 () (or @t542 @t211 @t546)) % 34.31/34.57 (define @t549 () (@quantifiers_skolemize @t545 0)) % 34.31/34.57 (define @t550 () (tptp.vsomeExp @t549)) % 34.31/34.57 (define @t551 () (tptp.visSomeExp @t550)) % 34.31/34.57 (define @t552 () (not @t551)) % 34.31/34.57 (define @t553 () (= @t209 @t550)) % 34.31/34.57 (define @t554 () (not @t553)) % 34.31/34.57 (define @t555 () (= @t550 @t209)) % 34.31/34.57 (define @t556 () (not (not @t555))) % 34.31/34.57 (define @t557 () (= @t449 tptp.ve1)) % 34.31/34.57 (define @t558 () (not (not @t557))) % 34.31/34.57 (define @t559 () (tptp.vsomeExp @t392)) % 34.31/34.57 (define @t560 () (tptp.visSomeExp @t559)) % 34.31/34.57 (define @t561 () (not @t560)) % 34.31/34.57 (define @t562 () (= @t198 @t559)) % 34.31/34.57 (define @t563 () (not @t562)) % 34.31/34.57 (define @t564 () (@list true false)) % 34.31/34.57 (define @t565 () (not @t391)) % 34.31/34.57 (define @t566 () (not @t563)) % 34.31/34.57 (define @t567 () (not (tptp.visValue @t34))) % 34.31/34.57 (define @t568 () (not (= @t34 @t34))) % 34.31/34.57 (define @t569 () (or @t568 @t567)) % 34.31/34.57 (define @t570 () (not @t35)) % 34.31/34.57 (define @t571 () (or @t570 @t570 @t33)) % 34.31/34.57 (define @t572 () (or @t570 @t33)) % 34.31/34.57 (define @t573 () (forall @t110 @t572)) % 34.31/34.57 (define @t574 () (forall @t82 @t573)) % 34.31/34.57 (define @t575 () (tptp.vsomeType @t320)) % 34.31/34.57 (define @t576 () (not (= @t263 @t575))) % 34.31/34.57 (define @t577 () (forall @t82 (or (not (= @t34 @t321)) @t576))) % 34.31/34.57 (define @t578 () (@quantifiers_skolemize @t577 0)) % 34.31/34.57 (define @t579 () (tptp.vvar @t578)) % 34.31/34.57 (define @t580 () (tptp.visValue @t579)) % 34.31/34.57 (define @t581 () (= @t321 @t579)) % 34.31/34.57 (define @t582 () (not @t581)) % 34.31/34.57 (define @t583 () (not @t580)) % 34.31/34.57 (define @t584 () (= false true)) % 34.31/34.57 (define @t585 () (not (tptp.visValue @t40))) % 34.31/34.57 (define @t586 () (or @t421 @t585)) % 34.31/34.57 (define @t587 () (or @t424 @t424 @t33)) % 34.31/34.57 (define @t588 () (or @t424 @t33)) % 34.31/34.57 (define @t589 () (forall @t110 @t588)) % 34.31/34.57 (define @t590 () (forall @t401 @t589)) % 34.31/34.57 (define @t591 () (not (tptp.vtcheck tptp.vempty @t39 (tptp.varrow @t29 @t320)))) % 34.31/34.57 (define @t592 () (forall @t175 (or (not (= @t40 @t321)) @t591 @t247))) % 34.31/34.57 (define @t593 () (@quantifiers_skolemize @t592 1)) % 34.31/34.57 (define @t594 () (@quantifiers_skolemize @t592 0)) % 34.31/34.57 (define @t595 () (tptp.vapp @t594 @t593)) % 34.31/34.57 (define @t596 () (tptp.visValue @t595)) % 34.31/34.57 (define @t597 () (= @t321 @t595)) % 34.31/34.57 (define @t598 () (not @t597)) % 34.31/34.57 (define @t599 () (not @t596)) % 34.31/34.57 (define @t600 () (tptp.vlookup @t578 tptp.vempty)) % 34.31/34.57 (define @t601 () (or @t582 (not (= @t575 @t600)))) % 34.31/34.57 (define @t602 () (@quantifiers_skolemize @t592 2)) % 34.31/34.57 (define @t603 () (not (tptp.vtcheck tptp.vempty @t593 @t602))) % 34.31/34.57 (define @t604 () (not (tptp.vtcheck tptp.vempty @t594 (tptp.varrow @t602 @t320)))) % 34.31/34.57 (define @t605 () (or @t598 @t604 @t603)) % 34.31/34.57 (define @t606 () (not @t601)) % 34.31/34.57 (define @t607 () (not @t577)) % 34.31/34.57 (define @t608 () (not (= @t600 @t575))) % 34.31/34.57 (define @t609 () (not (= @t579 @t321))) % 34.31/34.57 (define @t610 () (or @t609 @t608)) % 34.31/34.57 (define @t611 () (not @t610)) % 34.31/34.57 (define @t612 () (not @t605)) % 34.31/34.57 (define @t613 () (not @t592)) % 34.31/34.57 (define @t614 () (not (= @t595 @t321))) % 34.31/34.57 (define @t615 () (or @t614 @t604 @t603)) % 34.31/34.57 (define @t616 () (not @t615)) % 34.31/34.57 (define @t617 () (not (= @t321 @t40))) % 34.31/34.57 (define @t618 () (or @t617 @t591 @t247)) % 34.31/34.57 (define @t619 () (forall @t175 @t618)) % 34.31/34.57 (define @t620 () (not @t619)) % 34.31/34.57 (define @t621 () (not (= @t320 @t180))) % 34.31/34.57 (define @t622 () (not (= @t321 @t182))) % 34.31/34.57 (define @t623 () (or @t622 @t621 @t256)) % 34.31/34.57 (define @t624 () (forall @t185 @t623)) % 34.31/34.57 (define @t625 () (not @t624)) % 34.31/34.57 (define @t626 () (not (= @t321 @t34))) % 34.31/34.57 (define @t627 () (or @t626 @t576)) % 34.31/34.57 (define @t628 () (forall @t82 @t627)) % 34.31/34.57 (define @t629 () (not @t628)) % 34.31/34.57 (define @t630 () (or @t323 @t629 @t625 @t620)) % 34.31/34.57 (define @t631 () (forall @t185 (or (not (= @t182 @t321)) (not (= @t180 @t320)) @t256))) % 34.31/34.57 (define @t632 () (not @t631)) % 34.31/34.57 (define @t633 () (or @t323 @t607 @t632 @t613)) % 34.31/34.57 (define @t634 () (@quantifiers_skolemize @t631 1)) % 34.31/34.57 (define @t635 () (@quantifiers_skolemize @t631 2)) % 34.31/34.57 (define @t636 () (@quantifiers_skolemize @t631 0)) % 34.31/34.57 (define @t637 () (tptp.vabs @t636 @t635 @t634)) % 34.31/34.57 (define @t638 () (not (= @t637 tptp.ve1))) % 34.31/34.57 (define @t639 () (= tptp.ve1 @t637)) % 34.31/34.57 (define @t640 () (not @t639)) % 34.31/34.57 (define @t641 () (= @t321 @t637)) % 34.31/34.57 (define @t642 () (not @t641)) % 34.31/34.57 (define @t643 () (and @t376 @t640)) % 34.31/34.57 (define @t644 () (@quantifiers_skolemize @t631 3)) % 34.31/34.57 (define @t645 () (not (tptp.vtcheck (tptp.vbind @t636 @t635 tptp.vempty) @t634 @t644))) % 34.31/34.57 (define @t646 () (tptp.varrow @t635 @t644)) % 34.31/34.57 (define @t647 () (or @t642 (not (= @t320 @t646)) @t645)) % 34.31/34.57 (define @t648 () (not @t647)) % 34.31/34.57 (define @t649 () (not (= @t646 @t320))) % 34.31/34.57 (define @t650 () (not (= @t637 @t321))) % 34.31/34.57 (define @t651 () (or @t650 @t649 @t645)) % 34.31/34.57 (define @t652 () (not @t651)) % 34.31/34.57 (define @t653 () (not @t204)) % 34.31/34.57 (define @t654 () (forall @t207 @t653)) % 34.31/34.57 (define @t655 () (or @t202 @t565 @t653)) % 34.31/34.57 (define @t656 () (or @t653 @t202 @t565)) % 34.31/34.57 (define @t657 () (tptp.vtcheck tptp.vempty tptp.ve1 @t320)) % 34.31/34.57 (define @t658 () (not @t657)) % 34.31/34.57 (define @t659 () (and @t658 @t376 @t322)) % 34.31/34.57 (assume @p1 (forall (@list @t2 @t1) (and (=> @t4 @t5) (=> @t5 @t4)))) % 34.31/34.57 (assume @p2 (forall (@list @t2 @t9 @t8 @t1 @t7 @t6) (and (=> @t11 @t14) (=> @t14 @t11)))) % 34.31/34.57 (assume @p3 @t24) % 34.31/34.57 (assume @p4 (forall (@list @t2 @t1 @t9 @t8) (not (= @t3 (tptp.vabs @t1 @t9 @t8))))) % 34.31/34.57 (assume @p5 @t25) % 34.31/34.57 (assume @p6 @t26) % 34.31/34.57 (assume @p7 (forall (@list @t30 @t29 @t28 @t8) (=> @t32 @t27))) % 34.31/34.57 (assume @p8 @t37) % 34.31/34.57 (assume @p9 @t43) % 34.31/34.57 (assume @p10 (forall (@list @t2 @t8 @t30 @t44) (=> (and @t47 @t35) (and (=> @t45 @t46) (=> @t46 @t45))))) % 34.31/34.57 (assume @p11 (forall (@list @t50 @t2 @t8 @t30 @t44 @t28) (=> (and @t47 (= @t8 (tptp.vabs @t30 @t50 @t28))) (and (=> @t49 @t46) (=> @t46 @t49))))) % 34.31/34.57 (assume @p12 (forall (@list @t2 @t8 @t39 @t44 @t38) (=> (and @t47 @t41) (and (=> @t51 @t46) (=> @t46 @t51))))) % 34.31/34.57 (assume @p13 (and (=> @t52 true) (=> true @t52))) % 34.31/34.57 (assume @p14 (forall (@list @t2 @t9 @t54 @t1 @t7 @t53) (and (=> @t56 @t57) (=> @t57 @t56)))) % 34.31/34.57 (assume @p15 (and (=> @t58 true) (=> true @t58))) % 34.31/34.57 (assume @p16 (forall (@list @t9 @t7) (and (=> @t60 @t13) (=> @t13 @t60)))) % 34.31/34.57 (assume @p17 (forall (@list @t2 @t9 @t54) (not (= tptp.vempty @t55)))) % 34.31/34.57 (assume @p18 (forall (@list @t9) (not (= tptp.vnoType @t59)))) % 34.31/34.57 (assume @p19 (forall (@list @t61) (=> (= @t61 tptp.vnoType) (not @t62)))) % 34.31/34.57 (assume @p20 (forall (@list @t28 @t61) (=> @t63 @t62))) % 34.31/34.57 (assume @p21 (forall (@list @t61 @t64 @t28) (=> @t63 (=> (= @t64 (tptp.vgetSomeType @t61)) @t65)))) % 34.31/34.57 (assume @p22 (forall (@list @t30 @t2 @t54 @t64) (=> (and @t70 @t69) (=> @t68 @t66)))) % 34.31/34.57 (assume @p23 (forall (@list @t75 @t30 @t73 @t2 @t54 @t64 @t71) (=> @t78 (=> @t74 (=> @t68 @t72))))) % 34.31/34.57 (assume @p24 (forall (@list @t71 @t73 @t2 @t54 @t64 @t30 @t75) (=> @t78 (=> @t81 (=> @t68 @t80))))) % 34.31/34.57 (assume @p25 (forall (@list @t2 @t54 @t64) (=> (= @t67 @t64) (or (exists @t82 (and @t70 @t69 @t66)) (exists (@list @t75 @t30 @t73 @t71) (and @t70 @t77 @t74 @t72)) (exists (@list @t71 @t73 @t30 @t75) (and @t70 @t77 @t81 @t80)))))) % 34.31/34.57 (assume @p26 (forall @t86 (=> (and @t74 @t85) (tptp.vtcheck @t84 @t28 @t50)))) % 34.31/34.57 (assume @p27 (forall @t86 (=> (and @t81 @t85) (tptp.vtcheck (tptp.vbind @t73 @t71 @t84) @t28 @t50)))) % 34.31/34.57 (assume @p28 (forall (@list @t44 @t28) (=> (= (tptp.vgensym @t28) @t44) (not @t48)))) % 34.31/34.57 (assume @p29 (forall (@list @t30 @t73 @t2 @t8 @t6 @t64 @t28) (=> @t92 (=> @t74 (=> @t88 @t65))))) % 34.31/34.57 (assume @p30 (forall (@list @t28 @t30 @t2 @t8 @t6 @t64 @t73) (=> @t92 (=> @t81 (=> @t88 @t93))))) % 34.31/34.57 (assume @p31 (forall (@list @t2 @t8 @t6 @t64 @t39 @t30 @t28 @t38) (=> (and @t70 @t91 @t96) (=> @t88 @t95)))) % 34.31/34.57 (assume @p32 (forall (@list @t28 @t30 @t2 @t8 @t6 @t64 @t73 @t50 @t39) (=> @t100 (=> @t74 (=> @t88 @t98))))) % 34.31/34.57 (assume @p33 (forall (@list @t2 @t8 @t6 @t64 @t30 @t28 @t50 @t73 @t101 @t39) (=> @t100 (=> (and @t81 @t104 @t103) (=> @t88 @t102))))) % 34.31/34.57 (assume @p34 (forall (@list @t2 @t8 @t6 @t64 @t73 @t50 @t30 @t28 @t39) (=> @t100 (=> (and @t81 @t106) (=> @t88 @t105))))) % 34.31/34.57 (assume @p35 (forall (@list @t2 @t8 @t6 @t64) (=> (= @t87 @t64) (or (exists (@list @t30 @t73 @t28) (and @t70 @t91 @t90 @t74 @t65)) (exists (@list @t28 @t30 @t73) (and @t70 @t91 @t90 @t81 @t93)) (exists (@list @t39 @t30 @t28 @t38) (and @t70 @t91 @t96 @t95)) (exists (@list @t28 @t30 @t73 @t50 @t39) (and @t70 @t91 @t99 @t74 @t98)) (exists (@list @t30 @t28 @t50 @t73 @t101 @t39) (and @t70 @t91 @t99 @t81 @t104 @t103 @t102)) (exists (@list @t73 @t50 @t30 @t28 @t39) (and @t70 @t91 @t99 @t81 @t106 @t105)))))) % 34.31/34.57 (assume @p36 (and (=> @t107 true) (=> true @t107))) % 34.31/34.57 (assume @p37 (forall (@list @t8 @t6) (and (=> @t109 @t12) (=> @t12 @t109)))) % 34.31/34.57 (assume @p38 (forall @t110 (not (= tptp.vnoExp @t108)))) % 34.31/34.57 (assume @p39 (forall @t113 (=> (= @t111 tptp.vnoExp) (not @t112)))) % 34.31/34.57 (assume @p40 @t117) % 34.31/34.57 (assume @p41 (forall (@list @t111 @t64 @t28) (=> @t115 (=> (= @t64 (tptp.vgetSomeExp @t111)) @t65)))) % 34.31/34.57 (assume @p42 (forall (@list @t30 @t8 @t64) (=> @t35 @t121))) % 34.31/34.57 (assume @p43 (forall (@list @t30 @t29 @t28 @t8 @t64) (=> @t32 @t121))) % 34.31/34.57 (assume @p44 @t134) % 34.31/34.57 (assume @p45 @t143) % 34.31/34.57 (assume @p46 (forall (@list @t30 @t29 @t39 @t122 @t38 @t8 @t64) (=> @t132 (=> (and @t128 @t139 @t144) @t121)))) % 34.31/34.57 (assume @p47 @t161) % 34.31/34.57 (assume @p48 (forall (@list @t38 @t39 @t145 @t8 @t64) (=> @t159 (=> (and @t150 @t162) @t121)))) % 34.31/34.57 (assume @p49 (forall (@list @t8 @t64) (=> (= @t119 @t64) (or (exists @t82 (and @t35 @t118)) (exists (@list @t30 @t29 @t28) (and @t32 @t118)) (exists (@list @t38 @t30 @t29 @t39 @t122) (and @t132 @t128 @t126 @t124)) (exists (@list @t29 @t122 @t30 @t38 @t39) (and @t132 @t128 @t139 @t138 @t136)) (exists (@list @t30 @t29 @t39 @t122 @t38) (and @t132 @t128 @t139 @t144 @t118)) (exists (@list @t39 @t145 @t38) (and @t41 @t158 @t150 @t148 @t146)) (exists (@list @t38 @t39 @t145) (and @t41 @t158 @t150 @t162 @t118)))))) % 34.31/34.57 (assume @p50 (forall (@list @t9 @t7 @t164 @t163) (and (=> @t165 @t166) (=> @t166 @t165)))) % 34.31/34.57 (assume @p51 (forall (@list @t75 @t30 @t50) (=> @t167 (tptp.vtcheck @t75 @t34 @t50)))) % 34.31/34.57 (assume @p52 (forall (@list @t75 @t30 @t28 @t29 @t50) (=> @t169 (tptp.vtcheck @t75 @t31 @t168)))) % 34.31/34.57 (assume @p53 (forall (@list @t29 @t75 @t39 @t38 @t50) (=> @t172 (tptp.vtcheck @t75 @t40 @t50)))) % 34.31/34.57 (assume @p54 @t194) % 34.31/34.57 (assume @p55 (forall @t195 (=> (and (= @t79 tptp.vnoType) @t191) @t169))) % 34.31/34.57 (assume @p56 (forall @t195 (=> (and (not (tptp.visFreeVar @t30 @t28)) @t169) @t191))) % 34.31/34.57 (assume @p57 @t208) % 34.31/34.57 (assume @p58 @t216) % 34.31/34.57 (assume @p59 @t226) % 34.31/34.57 (assume @p60 true) % 34.31/34.57 (step @p61 :rule aci_norm :args ((= (or @t238 @t240) @t239))) % 34.31/34.57 (step @p62 :rule bool-impl-elim :args (@t191 @t240)) % 34.31/34.57 (step @p63 :rule trans :premises (@p62 @p61)) % 34.31/34.57 (step @p64 :rule cong :premises (@p63) :args ((forall @t193 (=> @t191 @t240)))) % 34.31/34.57 (step @p65 :rule aci_norm :args ((= (or @t229 (or @t228 @t227)) @t230))) % 34.31/34.57 (step @p66 :rule bool-and-de-morgan :args (@t171 @t170 true)) % 34.31/34.57 (step @p67 :rule refl :args (@t229)) % 34.31/34.57 (step @p68 :rule nary_cong :premises (@p67 @p66) :args ((or @t229 (not @t172)))) % 34.31/34.57 (step @p69 :rule bool-and-de-morgan :args (@t173 @t171 (and @t170))) % 34.31/34.57 (step @p70 :rule trans :premises (@p69 @p68)) % 34.31/34.57 (step @p71 :rule trans :premises (@p70 @p65)) % 34.31/34.57 (step @p72 :rule cong :premises (@p71) :args (@t241)) % 34.31/34.57 (step @p73 :rule cong :premises (@p72) :args (@t242)) % 34.31/34.57 (step @p74 :rule exists-elim :args ((= @t176 @t242))) % 34.31/34.57 (step @p75 :rule trans :premises (@p74 @p73)) % 34.31/34.57 (step @p76 :rule aci_norm :args ((= (or @t234 (or @t233 @t232)) @t235))) % 34.31/34.57 (step @p77 :rule bool-and-de-morgan :args (@t181 @t179 true)) % 34.31/34.57 (step @p78 :rule refl :args (@t234)) % 34.31/34.57 (step @p79 :rule nary_cong :premises (@p78 @p77) :args ((or @t234 (not (and @t181 @t179))))) % 34.31/34.57 (step @p80 :rule bool-and-de-morgan :args (@t183 @t181 (and @t179))) % 34.31/34.57 (step @p81 :rule trans :premises (@p80 @p79)) % 34.31/34.57 (step @p82 :rule trans :premises (@p81 @p76)) % 34.31/34.57 (step @p83 :rule cong :premises (@p82) :args (@t243)) % 34.31/34.57 (step @p84 :rule cong :premises (@p83) :args (@t244)) % 34.31/34.57 (step @p85 :rule exists-elim :args ((= @t186 @t244))) % 34.31/34.57 (step @p86 :rule trans :premises (@p85 @p84)) % 34.31/34.57 (step @p87 :rule bool-and-de-morgan :args (@t187 @t167 true)) % 34.31/34.57 (step @p88 :rule cong :premises (@p87) :args (@t245)) % 34.31/34.57 (step @p89 :rule cong :premises (@p88) :args (@t246)) % 34.31/34.57 (step @p90 :rule exists-elim :args ((= @t189 @t246))) % 34.31/34.57 (step @p91 :rule trans :premises (@p90 @p89)) % 34.31/34.57 (step @p92 :rule nary_cong :premises (@p91 @p86 @p75) :args (@t190)) % 34.31/34.57 (step @p93 :rule refl :args (@t191)) % 34.31/34.57 (step @p94 :rule cong :premises (@p93 @p92) :args (@t192)) % 34.31/34.57 (step @p95 :rule cong :premises (@p94) :args (@t194)) % 34.31/34.57 (step @p96 :rule trans :premises (@p95 @p64)) % 34.31/34.57 (step @p97 :rule eq_resolve :premises (@p54 @p96)) % 34.31/34.57 (step @p98 :rule refl :args (@t247)) % 34.31/34.57 (step @p99 :rule refl :args (@t251)) % 34.31/34.57 (step @p100 :rule eq-symm :args (@t217 @t40)) % 34.31/34.57 (step @p101 :rule cong :premises (@p100) :args (@t252)) % 34.31/34.57 (step @p102 :rule nary_cong :premises (@p101 @p99 @p98) :args (@t253)) % 34.31/34.57 (step @p103 :rule cong :premises (@p102) :args (@t254)) % 34.31/34.57 (step @p104 :rule cong :premises (@p103) :args (@t255)) % 34.31/34.57 (step @p105 :rule refl :args (@t256)) % 34.31/34.57 (step @p106 :rule eq-symm :args (@t250 @t180)) % 34.31/34.57 (step @p107 :rule cong :premises (@p106) :args (@t257)) % 34.31/34.57 (step @p108 :rule eq-symm :args (@t217 @t182)) % 34.31/34.57 (step @p109 :rule cong :premises (@p108) :args (@t258)) % 34.31/34.57 (step @p110 :rule nary_cong :premises (@p109 @p107 @p105) :args (@t259)) % 34.31/34.57 (step @p111 :rule cong :premises (@p110) :args (@t260)) % 34.31/34.57 (step @p112 :rule cong :premises (@p111) :args (@t261)) % 34.31/34.57 (step @p113 :rule refl :args (@t264)) % 34.31/34.57 (step @p114 :rule eq-symm :args (@t217 @t34)) % 34.31/34.57 (step @p115 :rule cong :premises (@p114) :args (@t265)) % 34.31/34.57 (step @p116 :rule nary_cong :premises (@p115 @p113) :args (@t266)) % 34.31/34.57 (step @p117 :rule cong :premises (@p116) :args (@t267)) % 34.31/34.57 (step @p118 :rule cong :premises (@p117) :args (@t268)) % 34.31/34.57 (step @p119 :rule refl :args (@t270)) % 34.31/34.57 (step @p120 :rule nary_cong :premises (@p119 @p118 @p112 @p104) :args (@t271)) % 34.31/34.57 (step @p121 :rule refl :args (@t272)) % 34.31/34.57 (step @p122 :rule cong :premises (@p121 @p120) :args ((=> @t272 @t271))) % 34.31/34.57 (assume-push @p1211 @t272) % 34.31/34.57 (step @p124 :rule instantiate :premises (@p97) :args ((@list @t217 @t250 tptp.vempty))) % 34.31/34.57 (step-pop @p1212 :rule scope :premises (@p124)) % 34.31/34.57 (step @p125 :rule process_scope :premises (@p1212) :args (@t271)) % 34.31/34.57 (step @p127 :rule eq_resolve :premises (@p125 @p122)) % 34.31/34.57 (step @p128 :rule implies_elim :premises (@p127)) % 34.31/34.57 (step @p129 :rule chain_m_resolution :premises (@p128 @p97) :args (@t279 @t280 @t281)) % 34.31/34.57 (step @p130 :rule eq-symm :args (@t285 @t217)) % 34.31/34.57 (step @p131 :rule cong :premises (@p130) :args (@t286)) % 34.31/34.57 (step @p132 :rule refl :args (@t26)) % 34.31/34.57 (step @p133 :rule cong :premises (@p132 @p131) :args ((=> @t26 @t286))) % 34.31/34.57 (assume-push @p1213 @t26) % 34.31/34.57 (step @p135 :rule instantiate :premises (@p6) :args ((@list @t284 @t283 @t282 tptp.ve1 tptp.ve2))) % 34.31/34.57 (step-pop @p1214 :rule scope :premises (@p135)) % 34.31/34.57 (step @p136 :rule process_scope :premises (@p1214) :args (@t286)) % 34.31/34.57 (step @p138 :rule eq_resolve :premises (@p136 @p133)) % 34.31/34.57 (step @p139 :rule implies_elim :premises (@p138)) % 34.31/34.57 (step @p140 :rule chain_m_resolution :premises (@p139 @p6) :args (@t288 @t280 (@list @t26))) % 34.31/34.57 (step @p141 :rule bool-double-not-elim :args (@t287)) % 34.31/34.57 (step @p142 :rule refl :args (@t292)) % 34.31/34.57 (step @p143 :rule nary_cong :premises (@p142 @p141) :args ((or @t292 (not @t288)))) % 34.31/34.57 (step @p144 :rule cnf_or_neg :args (@t292 0)) % 34.31/34.57 (step @p145 :rule eq_resolve :premises (@p144 @p143)) % 34.31/34.57 (step @p146 :rule reordering :premises (@p145) :args ((or @t287 @t292))) % 34.31/34.57 (step @p147 :rule chain_m_resolution :premises (@p146 @p140) :args (@t292 @t293 (@list @t287))) % 34.31/34.57 (step @p148 :rule refl :args (@t294)) % 34.31/34.57 (step @p149 :rule bool-double-not-elim :args (@t275)) % 34.31/34.57 (step @p150 :rule nary_cong :premises (@p149 @p148) :args ((or (not @t276) @t294))) % 34.31/34.57 (step @p151 :rule refl :args (@t290)) % 34.31/34.57 (step @p152 :rule eq-symm :args (@t291 @t250)) % 34.31/34.57 (step @p153 :rule cong :premises (@p152) :args (@t295)) % 34.31/34.57 (step @p154 :rule nary_cong :premises (@p131 @p153 @p151) :args (@t296)) % 34.31/34.57 (step @p155 :rule cong :premises (@p154) :args (@t297)) % 34.31/34.57 (step @p156 :rule refl :args (@t276)) % 34.31/34.57 (step @p157 :rule cong :premises (@p156 @p155) :args ((=> @t276 @t297))) % 34.31/34.57 (assume-push @p1215 @t276) % 34.31/34.57 (step @p159 :rule skolemize :premises (@p1215)) % 34.31/34.57 (step-pop @p1216 :rule scope :premises (@p159)) % 34.31/34.57 (step @p160 :rule process_scope :premises (@p1216) :args (@t297)) % 34.31/34.57 (step @p162 :rule eq_resolve :premises (@p160 @p157)) % 34.31/34.57 (step @p163 :rule implies_elim :premises (@p162)) % 34.31/34.57 (step @p164 :rule eq_resolve :premises (@p163 @p150)) % 34.31/34.57 (step @p165 :rule chain_m_resolution :premises (@p164 @p147) :args (@t275 @t280 (@list @t292))) % 34.31/34.57 (step @p166 :rule eq-symm :args (@t299 @t217)) % 34.31/34.57 (step @p167 :rule cong :premises (@p166) :args (@t300)) % 34.31/34.57 (step @p168 :rule refl :args (@t25)) % 34.31/34.57 (step @p169 :rule cong :premises (@p168 @p167) :args ((=> @t25 @t300))) % 34.31/34.57 (assume-push @p1217 @t25) % 34.31/34.57 (step @p171 :rule instantiate :premises (@p5) :args ((@list @t298 tptp.ve1 tptp.ve2))) % 34.31/34.57 (step-pop @p1218 :rule scope :premises (@p171)) % 34.31/34.57 (step @p172 :rule process_scope :premises (@p1218) :args (@t300)) % 34.31/34.57 (step @p174 :rule eq_resolve :premises (@p172 @p169)) % 34.31/34.57 (step @p175 :rule implies_elim :premises (@p174)) % 34.31/34.57 (step @p176 :rule chain_m_resolution :premises (@p175 @p5) :args (@t302 @t280 (@list @t25))) % 34.31/34.57 (step @p177 :rule bool-double-not-elim :args (@t301)) % 34.31/34.57 (step @p178 :rule refl :args (@t304)) % 34.31/34.57 (step @p179 :rule nary_cong :premises (@p178 @p177) :args ((or @t304 (not @t302)))) % 34.31/34.57 (step @p180 :rule cnf_or_neg :args (@t304 0)) % 34.31/34.57 (step @p181 :rule eq_resolve :premises (@p180 @p179)) % 34.31/34.57 (step @p182 :rule reordering :premises (@p181) :args ((or @t301 @t304))) % 34.31/34.57 (step @p183 :rule chain_m_resolution :premises (@p182 @p176) :args (@t304 @t293 (@list @t301))) % 34.31/34.57 (step @p184 :rule refl :args (@t305)) % 34.31/34.57 (step @p185 :rule bool-double-not-elim :args (@t277)) % 34.31/34.57 (step @p186 :rule nary_cong :premises (@p185 @p184) :args ((or (not @t278) @t305))) % 34.31/34.57 (step @p187 :rule eq-symm :args (@t303 @t262)) % 34.31/34.57 (step @p188 :rule cong :premises (@p187) :args (@t306)) % 34.31/34.57 (step @p189 :rule nary_cong :premises (@p167 @p188) :args (@t307)) % 34.31/34.57 (step @p190 :rule cong :premises (@p189) :args (@t308)) % 34.31/34.57 (step @p191 :rule refl :args (@t278)) % 34.31/34.57 (step @p192 :rule cong :premises (@p191 @p190) :args ((=> @t278 @t308))) % 34.31/34.57 (assume-push @p1219 @t278) % 34.31/34.57 (step @p194 :rule skolemize :premises (@p1219)) % 34.31/34.57 (step-pop @p1220 :rule scope :premises (@p194)) % 34.31/34.57 (step @p195 :rule process_scope :premises (@p1220) :args (@t308)) % 34.31/34.57 (step @p197 :rule eq_resolve :premises (@p195 @p192)) % 34.31/34.57 (step @p198 :rule implies_elim :premises (@p197)) % 34.31/34.57 (step @p199 :rule eq_resolve :premises (@p198 @p186)) % 34.31/34.57 (step @p200 :rule chain_m_resolution :premises (@p199 @p183) :args (@t277 @t280 (@list @t304))) % 34.31/34.57 (step @p201 :rule quant-miniscope-or :args ((= (forall @t207 @t312) (or @t220 @t311 @t249)))) % 34.31/34.57 (step @p202 :rule aci_norm :args ((= @t313 @t312))) % 34.31/34.57 (step @p203 :rule cong :premises (@p202) :args ((forall @t207 @t313))) % 34.31/34.57 (step @p204 :rule trans :premises (@p203 @p201)) % 34.31/34.57 (step @p205 :rule aci_norm :args ((= (or (or @t248 @t220) @t311) @t313))) % 34.31/34.57 (step @p206 :rule refl :args (@t311)) % 34.31/34.57 (step @p207 :rule bool-double-not-elim :args (@t220)) % 34.31/34.57 (step @p208 :rule refl :args (@t248)) % 34.31/34.57 (step @p209 :rule nary_cong :premises (@p208 @p207) :args ((or @t248 (not @t221)))) % 34.31/34.57 (step @p210 :rule bool-and-de-morgan :args (@t222 @t221 true)) % 34.31/34.57 (step @p211 :rule trans :premises (@p210 @p209)) % 34.31/34.57 (step @p212 :rule nary_cong :premises (@p211 @p206) :args ((or (not @t223) @t311))) % 34.31/34.57 (step @p213 :rule trans :premises (@p212 @p205)) % 34.31/34.57 (step @p214 :rule bool-impl-elim :args (@t223 @t311)) % 34.31/34.57 (step @p215 :rule trans :premises (@p214 @p213)) % 34.31/34.57 (step @p216 :rule cong :premises (@p215) :args ((forall @t207 (=> @t223 @t311)))) % 34.31/34.57 (step @p217 :rule trans :premises (@p216 @p204)) % 34.31/34.57 (step @p218 :rule exists-elim :args ((= (exists @t200 @t309) @t311))) % 34.31/34.57 (step @p219 :rule eq-symm :args (@t218 @t197)) % 34.31/34.57 (step @p220 :rule cong :premises (@p219) :args (@t219)) % 34.31/34.57 (step @p221 :rule trans :premises (@p220 @p218)) % 34.31/34.57 (step @p222 :rule refl :args (@t223)) % 34.31/34.57 (step @p223 :rule cong :premises (@p222 @p221) :args (@t224)) % 34.31/34.57 (step @p224 :rule cong :premises (@p223) :args (@t225)) % 34.31/34.57 (step @p225 :rule trans :premises (@p224 @p217)) % 34.31/34.57 (step @p226 :rule cong :premises (@p225) :args (@t226)) % 34.31/34.57 (step @p227 :rule eq_resolve :premises (@p59 @p226)) % 34.31/34.57 (step @p228 :rule not_or_elim :premises (@p227) :args (2)) % 34.31/34.57 (step @p229 :rule refl :args (@t269)) % 34.31/34.57 (step @p230 :rule bool-double-not-elim :args (@t249)) % 34.31/34.57 (step @p231 :rule nary_cong :premises (@p230 @p229) :args ((or (not @t314) @t269))) % 34.31/34.57 (step @p232 :rule bool-double-not-elim :args (@t269)) % 34.31/34.57 (step @p233 :rule refl :args (@t314)) % 34.31/34.57 (step @p234 :rule cong :premises (@p233 @p232) :args ((=> @t314 @t315))) % 34.31/34.57 (assume-push @p1221 @t314) % 34.31/34.57 (step @p236 :rule skolemize :premises (@p228)) % 34.31/34.57 (step-pop @p1222 :rule scope :premises (@p236)) % 34.31/34.57 (step @p237 :rule process_scope :premises (@p1222) :args (@t315)) % 34.31/34.57 (step @p239 :rule eq_resolve :premises (@p237 @p234)) % 34.31/34.57 (step @p240 :rule implies_elim :premises (@p239)) % 34.31/34.57 (step @p241 :rule eq_resolve :premises (@p240 @p231)) % 34.31/34.57 (step @p242 :rule chain_m_resolution :premises (@p241 @p228) :args (@t269 @t293 (@list @t249))) % 34.31/34.57 (step @p243 :rule cnf_or_pos :args (@t279)) % 34.31/34.57 (step @p244 :rule reordering :premises (@p243) :args ((or @t270 @t278 @t276 @t274 (not @t279)))) % 34.31/34.57 (step @p245 :rule chain_m_resolution :premises (@p244 @p242 @p200 @p165 @p129) :args (@t274 (@list false false false false) (@list @t269 @t277 @t275 @t279))) % 34.31/34.57 (step @p246 :rule refl :args (@t328)) % 34.31/34.57 (step @p247 :rule bool-double-not-elim :args (@t273)) % 34.31/34.57 (step @p248 :rule nary_cong :premises (@p247 @p246) :args ((or (not @t274) @t328))) % 34.31/34.57 (step @p249 :rule refl :args (@t319)) % 34.31/34.57 (step @p250 :rule refl :args (@t323)) % 34.31/34.57 (step @p251 :rule eq-symm :args (@t324 @t217)) % 34.31/34.57 (step @p252 :rule cong :premises (@p251) :args (@t329)) % 34.31/34.57 (step @p253 :rule nary_cong :premises (@p252 @p250 @p249) :args (@t330)) % 34.31/34.57 (step @p254 :rule cong :premises (@p253) :args (@t331)) % 34.31/34.57 (step @p255 :rule refl :args (@t274)) % 34.31/34.57 (step @p256 :rule cong :premises (@p255 @p254) :args ((=> @t274 @t331))) % 34.31/34.57 (assume-push @p1223 @t274) % 34.31/34.57 (step @p258 :rule skolemize :premises (@p1223)) % 34.31/34.57 (step-pop @p1224 :rule scope :premises (@p258)) % 34.31/34.57 (step @p259 :rule process_scope :premises (@p1224) :args (@t331)) % 34.31/34.57 (step @p261 :rule eq_resolve :premises (@p259 @p256)) % 34.31/34.57 (step @p262 :rule implies_elim :premises (@p261)) % 34.31/34.57 (step @p263 :rule eq_resolve :premises (@p262 @p248)) % 34.31/34.57 (step @p264 :rule chain_m_resolution :premises (@p263 @p245) :args (@t328 @t293 (@list @t273))) % 34.31/34.57 (step @p265 :rule bool-double-not-elim :args (@t322)) % 34.31/34.57 (step @p266 :rule refl :args (@t327)) % 34.31/34.57 (step @p267 :rule nary_cong :premises (@p266 @p265) :args ((or @t327 (not @t323)))) % 34.31/34.57 (step @p268 :rule cnf_or_neg :args (@t327 1)) % 34.31/34.57 (step @p269 :rule eq_resolve :premises (@p268 @p267)) % 34.31/34.57 (step @p270 :rule reordering :premises (@p269) :args ((or @t322 @t327))) % 34.31/34.57 (step @p271 :rule chain_m_resolution :premises (@p270 @p264) :args (@t322 @t293 @t332)) % 34.31/34.57 (step @p272 :rule aci_norm :args ((= (and @t337 true) @t337))) % 34.31/34.57 (step @p273 :rule quant-unused-vars :args ((= (forall @t340 true) true))) % 34.31/34.57 (step @p274 :rule evaluate :args ((or false true))) % 34.31/34.57 (step @p275 :rule eq-refl :args (@t341)) % 34.31/34.57 (step @p276 :rule evaluate :args ((not true))) % 34.31/34.57 (step @p277 :rule eq-refl :args (@t338)) % 34.31/34.57 (step @p278 :rule cong :premises (@p277) :args (@t342)) % 34.31/34.57 (step @p279 :rule trans :premises (@p278 @p276)) % 34.31/34.57 (step @p280 :rule nary_cong :premises (@p279 @p275) :args (@t343)) % 34.31/34.57 (step @p281 :rule trans :premises (@p280 @p274)) % 34.31/34.57 (step @p282 :rule cong :premises (@p281) :args ((forall @t340 @t343))) % 34.31/34.57 (step @p283 :rule trans :premises (@p282 @p273)) % 34.31/34.57 (step @p284 :rule quant-var-elim-eq :args ((= (forall @t349 @t348) @t343))) % 34.31/34.57 (step @p285 :rule aci_norm :args ((= @t350 @t348))) % 34.31/34.57 (step @p286 :rule cong :premises (@p285) :args (@t351)) % 34.31/34.57 (step @p287 :rule trans :premises (@p286 @p284)) % 34.31/34.57 (step @p288 :rule cong :premises (@p287) :args (@t352)) % 34.31/34.57 (step @p289 :rule quant-merge-prenex :args ((= @t352 @t353))) % 34.31/34.57 (step @p290 :rule symm :premises (@p289)) % 34.31/34.57 (step @p291 :rule quant_var_reordering :args ((= (forall @t354 @t350) @t353))) % 34.31/34.57 (step @p292 :rule trans :premises (@p291 @p290 @p288)) % 34.31/34.57 (step @p293 :rule trans :premises (@p292 @p283)) % 34.31/34.57 (step @p294 :rule aci_norm :args ((= (or false @t347 @t346) @t350))) % 34.31/34.57 (step @p295 :rule eq-symm :args (@t345 @t341)) % 34.31/34.57 (step @p296 :rule refl :args (@t347)) % 34.31/34.57 (step @p297 :rule eq-refl :args (@t339)) % 34.31/34.57 (step @p298 :rule cong :premises (@p297) :args (@t355)) % 34.31/34.57 (step @p299 :rule trans :premises (@p298 @p276)) % 34.31/34.57 (step @p300 :rule nary_cong :premises (@p299 @p296 @p295) :args (@t356)) % 34.31/34.57 (step @p301 :rule trans :premises (@p300 @p294)) % 34.31/34.57 (step @p302 :rule cong :premises (@p301) :args ((forall @t354 @t356))) % 34.31/34.57 (step @p303 :rule trans :premises (@p302 @p293)) % 34.31/34.57 (step @p304 :rule quant-var-elim-eq :args ((= (forall @t361 @t360) @t356))) % 34.31/34.57 (step @p305 :rule aci_norm :args ((= @t362 @t360))) % 34.31/34.57 (step @p306 :rule cong :premises (@p305) :args (@t363)) % 34.31/34.57 (step @p307 :rule trans :premises (@p306 @p304)) % 34.31/34.57 (step @p308 :rule cong :premises (@p307) :args (@t364)) % 34.31/34.57 (step @p309 :rule quant-merge-prenex :args ((= @t364 @t365))) % 34.31/34.57 (step @p310 :rule symm :premises (@p309)) % 34.31/34.57 (step @p311 :rule quant_var_reordering :args ((= @t366 @t365))) % 34.31/34.57 (step @p312 :rule trans :premises (@p311 @p310 @p308)) % 34.31/34.57 (step @p313 :rule trans :premises (@p312 @p303)) % 34.31/34.57 (step @p314 :rule refl :args (@t337)) % 34.31/34.57 (step @p315 :rule nary_cong :premises (@p314 @p313) :args ((and @t337 @t366))) % 34.31/34.57 (step @p316 :rule trans :premises (@p315 @p272)) % 34.31/34.57 (step @p317 :rule alpha_equiv :args (@t370 @t371 (@list @t357 @t344 @t339 @t338))) % 34.31/34.57 (step @p318 :rule alpha_equiv :args (@t373 @t371 (@list @t336 @t334 @t335 @t333))) % 34.31/34.57 (step @p319 :rule nary_cong :premises (@p318 @p317) :args (@t374)) % 34.31/34.57 (step @p320 :rule quant-miniscope-and :args ((= (forall @t23 (and @t372 @t369)) @t374))) % 34.31/34.57 (step @p321 :rule trans :premises (@p320 @p319)) % 34.31/34.57 (step @p322 :rule trans :premises (@p321 @p316)) % 34.31/34.57 (step @p323 :rule aci_norm :args ((= (or (or @t368 @t367) @t18) @t369))) % 34.31/34.57 (step @p324 :rule refl :args (@t18)) % 34.31/34.57 (step @p325 :rule bool-and-de-morgan :args (@t20 @t19 true)) % 34.31/34.57 (step @p326 :rule nary_cong :premises (@p325 @p324) :args ((or (not @t21) @t18))) % 34.31/34.57 (step @p327 :rule trans :premises (@p326 @p323)) % 34.31/34.57 (step @p328 :rule bool-impl-elim :args (@t21 @t18)) % 34.31/34.57 (step @p329 :rule trans :premises (@p328 @p327)) % 34.31/34.57 (step @p330 :rule bool-impl-elim :args (@t18 @t21)) % 34.31/34.57 (step @p331 :rule nary_cong :premises (@p330 @p329) :args (@t22)) % 34.31/34.57 (step @p332 :rule cong :premises (@p331) :args (@t24)) % 34.31/34.57 (step @p333 :rule trans :premises (@p332 @p322)) % 34.31/34.57 (step @p334 :rule eq_resolve :premises (@p3 @p333)) % 34.31/34.57 (step @p335 :rule instantiate :premises (@p334) :args ((@list tptp.ve1 tptp.ve2 @t321 @t317))) % 34.31/34.57 (step @p336 :rule bool-double-not-elim :args (@t325)) % 34.31/34.57 (step @p337 :rule nary_cong :premises (@p266 @p336) :args ((or @t327 (not @t326)))) % 34.31/34.57 (step @p338 :rule cnf_or_neg :args (@t327 0)) % 34.31/34.57 (step @p339 :rule eq_resolve :premises (@p338 @p337)) % 34.31/34.57 (step @p340 :rule reordering :premises (@p339) :args ((or @t325 @t327))) % 34.31/34.57 (step @p341 :rule chain_m_resolution :premises (@p340 @p264) :args (@t325 @t293 @t332)) % 34.31/34.57 (step @p342 :rule cnf_or_pos :args (@t378)) % 34.31/34.57 (step @p343 :rule reordering :premises (@p342) :args ((or @t326 @t377 (not @t378)))) % 34.31/34.57 (step @p344 :rule chain_m_resolution :premises (@p343 @p341 @p335) :args (@t377 @t379 (@list @t325 @t378))) % 34.31/34.57 (step @p345 :rule cnf_and_pos :args (@t377 0)) % 34.31/34.57 (step @p346 :rule reordering :premises (@p345) :args ((or @t376 @t380))) % 34.31/34.57 (step @p347 :rule chain_m_resolution :premises (@p346 @p344) :args (@t376 @t280 @t381)) % 34.31/34.57 (step @p348 :rule aci_norm :args ((= (or false @t382) @t382))) % 34.31/34.57 (step @p349 :rule refl :args (@t382)) % 34.31/34.57 (step @p350 :rule eq-refl :args (@t114)) % 34.31/34.57 (step @p351 :rule cong :premises (@p350) :args (@t383)) % 34.31/34.57 (step @p352 :rule trans :premises (@p351 @p276)) % 34.31/34.57 (step @p353 :rule nary_cong :premises (@p352 @p349) :args (@t384)) % 34.31/34.57 (step @p354 :rule trans :premises (@p353 @p348)) % 34.31/34.57 (step @p355 :rule cong :premises (@p354) :args ((forall @t385 @t384))) % 34.31/34.57 (step @p356 :rule quant-var-elim-eq :args ((= (forall @t113 @t387) @t384))) % 34.31/34.57 (step @p357 :rule aci_norm :args ((= @t388 @t387))) % 34.31/34.57 (step @p358 :rule cong :premises (@p357) :args (@t389)) % 34.31/34.57 (step @p359 :rule trans :premises (@p358 @p356)) % 34.31/34.57 (step @p360 :rule cong :premises (@p359) :args (@t390)) % 34.31/34.57 (step @p361 :rule quant-merge-prenex :args ((= @t390 (forall @t116 @t388)))) % 34.31/34.57 (step @p362 :rule symm :premises (@p361)) % 34.31/34.57 (step @p363 :rule trans :premises (@p362 @p360)) % 34.31/34.57 (step @p364 :rule trans :premises (@p363 @p355)) % 34.31/34.57 (step @p365 :rule bool-impl-elim :args (@t115 @t112)) % 34.31/34.57 (step @p366 :rule cong :premises (@p365) :args (@t117)) % 34.31/34.57 (step @p367 :rule trans :premises (@p366 @p364)) % 34.31/34.57 (step @p368 :rule eq_resolve :premises (@p40 @p367)) % 34.31/34.57 (step @p369 :rule instantiate :premises (@p368) :args ((@list @t392))) % 34.31/34.57 (step @p370 :rule aci_norm :args ((= (or @t397 @t396 false @t395) @t398))) % 34.31/34.57 (step @p371 :rule refl :args (@t395)) % 34.31/34.57 (step @p372 :rule eq-refl :args (@t394)) % 34.31/34.57 (step @p373 :rule cong :premises (@p372) :args (@t399)) % 34.31/34.57 (step @p374 :rule trans :premises (@p373 @p276)) % 34.31/34.57 (step @p375 :rule refl :args (@t396)) % 34.31/34.57 (step @p376 :rule refl :args (@t397)) % 34.31/34.57 (step @p377 :rule nary_cong :premises (@p376 @p375 @p374 @p371) :args (@t400)) % 34.31/34.57 (step @p378 :rule trans :premises (@p377 @p370)) % 34.31/34.57 (step @p379 :rule cong :premises (@p378) :args ((forall @t401 @t400))) % 34.31/34.57 (step @p380 :rule quant-var-elim-eq :args ((= (forall @t405 @t404) @t400))) % 34.31/34.57 (step @p381 :rule aci_norm :args ((= @t406 @t404))) % 34.31/34.57 (step @p382 :rule cong :premises (@p381) :args (@t407)) % 34.31/34.57 (step @p383 :rule trans :premises (@p382 @p380)) % 34.31/34.57 (step @p384 :rule cong :premises (@p383) :args (@t408)) % 34.31/34.57 (step @p385 :rule quant-merge-prenex :args ((= @t408 @t409))) % 34.31/34.57 (step @p386 :rule symm :premises (@p385)) % 34.31/34.57 (step @p387 :rule quant_var_reordering :args ((= (forall @t410 @t406) @t409))) % 34.31/34.57 (step @p388 :rule trans :premises (@p387 @p386 @p384)) % 34.31/34.57 (step @p389 :rule trans :premises (@p388 @p379)) % 34.31/34.57 (step @p390 :rule aci_norm :args ((= (or @t397 false @t396 @t403 @t402) @t406))) % 34.31/34.57 (step @p391 :rule refl :args (@t402)) % 34.31/34.57 (step @p392 :rule refl :args (@t403)) % 34.31/34.57 (step @p393 :rule eq-refl :args (@t149)) % 34.31/34.57 (step @p394 :rule cong :premises (@p393) :args (@t411)) % 34.31/34.57 (step @p395 :rule trans :premises (@p394 @p276)) % 34.31/34.57 (step @p396 :rule nary_cong :premises (@p376 @p395 @p375 @p392 @p391) :args (@t412)) % 34.31/34.57 (step @p397 :rule trans :premises (@p396 @p390)) % 34.31/34.57 (step @p398 :rule cong :premises (@p397) :args ((forall @t410 @t412))) % 34.31/34.57 (step @p399 :rule trans :premises (@p398 @p389)) % 34.31/34.57 (step @p400 :rule quant-var-elim-eq :args ((= (forall @t415 @t414) @t412))) % 34.31/34.57 (step @p401 :rule aci_norm :args ((= @t416 @t414))) % 34.31/34.57 (step @p402 :rule cong :premises (@p401) :args (@t417)) % 34.31/34.57 (step @p403 :rule trans :premises (@p402 @p400)) % 34.31/34.57 (step @p404 :rule cong :premises (@p403) :args (@t418)) % 34.31/34.57 (step @p405 :rule quant-merge-prenex :args ((= @t418 @t419))) % 34.31/34.57 (step @p406 :rule symm :premises (@p405)) % 34.31/34.57 (step @p407 :rule quant_var_reordering :args ((= (forall @t420 @t416) @t419))) % 34.31/34.57 (step @p408 :rule trans :premises (@p407 @p406 @p404)) % 34.31/34.57 (step @p409 :rule trans :premises (@p408 @p399)) % 34.31/34.57 (step @p410 :rule aci_norm :args ((= (or false @t397 @t413 @t162 @t403 @t146) @t416))) % 34.31/34.57 (step @p411 :rule refl :args (@t146)) % 34.31/34.57 (step @p412 :rule refl :args (@t162)) % 34.31/34.57 (step @p413 :rule refl :args (@t413)) % 34.31/34.57 (step @p414 :rule eq-refl :args (@t40)) % 34.31/34.57 (step @p415 :rule cong :premises (@p414) :args (@t421)) % 34.31/34.57 (step @p416 :rule trans :premises (@p415 @p276)) % 34.31/34.57 (step @p417 :rule nary_cong :premises (@p416 @p376 @p413 @p412 @p392 @p411) :args (@t422)) % 34.31/34.57 (step @p418 :rule trans :premises (@p417 @p410)) % 34.31/34.57 (step @p419 :rule cong :premises (@p418) :args ((forall @t420 @t422))) % 34.31/34.57 (step @p420 :rule trans :premises (@p419 @p409)) % 34.31/34.57 (step @p421 :rule quant-var-elim-eq :args ((= (forall @t110 @t425) @t422))) % 34.31/34.57 (step @p422 :rule aci_norm :args ((= @t426 @t425))) % 34.31/34.57 (step @p423 :rule cong :premises (@p422) :args (@t427)) % 34.31/34.57 (step @p424 :rule trans :premises (@p423 @p421)) % 34.31/34.57 (step @p425 :rule cong :premises (@p424) :args (@t428)) % 34.31/34.57 (step @p426 :rule quant-merge-prenex :args ((= @t428 @t429))) % 34.31/34.57 (step @p427 :rule symm :premises (@p426)) % 34.31/34.57 (step @p428 :rule quant_var_reordering :args ((= (forall @t160 @t426) @t429))) % 34.31/34.57 (step @p429 :rule trans :premises (@p428 @p427 @p425)) % 34.31/34.57 (step @p430 :rule trans :premises (@p429 @p420)) % 34.31/34.57 (step @p431 :rule aci_norm :args ((= (or (or @t424 @t397) @t430) @t426))) % 34.31/34.57 (step @p432 :rule aci_norm :args ((= (or (or @t413 @t162) (or @t423 @t146)) @t430))) % 34.31/34.57 (step @p433 :rule bool-impl-elim :args (@t120 @t146)) % 34.31/34.57 (step @p434 :rule bool-and-de-morgan :args (@t150 @t148 true)) % 34.31/34.57 (step @p435 :rule nary_cong :premises (@p434 @p433) :args ((or (not @t151) @t147))) % 34.31/34.57 (step @p436 :rule trans :premises (@p435 @p432)) % 34.31/34.57 (step @p437 :rule bool-impl-elim :args (@t151 @t147)) % 34.31/34.57 (step @p438 :rule trans :premises (@p437 @p436)) % 34.31/34.57 (step @p439 :rule bool-and-de-morgan :args (@t41 @t158 true)) % 34.31/34.57 (step @p440 :rule nary_cong :premises (@p439 @p438) :args ((or (not @t159) @t152))) % 34.31/34.57 (step @p441 :rule trans :premises (@p440 @p431)) % 34.31/34.57 (step @p442 :rule bool-impl-elim :args (@t159 @t152)) % 34.31/34.57 (step @p443 :rule trans :premises (@p442 @p441)) % 34.31/34.57 (step @p444 :rule cong :premises (@p443) :args (@t161)) % 34.31/34.57 (step @p445 :rule trans :premises (@p444 @p430)) % 34.31/34.57 (step @p446 :rule eq_resolve :premises (@p47 @p445)) % 34.31/34.57 (step @p447 :rule refl :args (@t433)) % 34.31/34.57 (step @p448 :rule refl :args (@t435)) % 34.31/34.57 (step @p449 :rule eq-symm :args (tptp.ve1 @t156)) % 34.31/34.57 (step @p450 :rule cong :premises (@p449) :args (@t436)) % 34.31/34.57 (step @p451 :rule cong :premises (@p450) :args (@t437)) % 34.31/34.57 (step @p452 :rule cong :premises (@p451) :args (@t438)) % 34.31/34.57 (step @p453 :rule nary_cong :premises (@p452 @p448 @p447) :args (@t439)) % 34.31/34.57 (step @p454 :rule refl :args (@t440)) % 34.31/34.57 (step @p455 :rule cong :premises (@p454 @p453) :args ((=> @t440 @t439))) % 34.31/34.57 (assume-push @p1225 @t440) % 34.31/34.57 (step @p457 :rule instantiate :premises (@p446) :args ((@list tptp.ve1 tptp.ve2))) % 34.31/34.57 (step-pop @p1226 :rule scope :premises (@p457)) % 34.31/34.57 (step @p458 :rule process_scope :premises (@p1226) :args (@t439)) % 34.31/34.57 (step @p460 :rule eq_resolve :premises (@p458 @p455)) % 34.31/34.57 (step @p461 :rule implies_elim :premises (@p460)) % 34.31/34.57 (step @p462 :rule chain_m_resolution :premises (@p461 @p446) :args (@t443 @t280 (@list @t440))) % 34.31/34.57 (step @p463 :rule not_or_elim :premises (@p227) :args (1)) % 34.31/34.57 (step @p464 :rule not_not_elim :premises (@p463)) % 34.31/34.57 (step @p465 :rule eq-symm :args (@t432 @t218)) % 34.31/34.57 (step @p466 :rule cong :premises (@p465) :args (@t444)) % 34.31/34.57 (step @p467 :rule refl :args (@t310)) % 34.31/34.57 (step @p468 :rule cong :premises (@p467 @p466) :args ((=> @t310 @t444))) % 34.31/34.57 (assume-push @p1227 @t310) % 34.31/34.57 (step @p470 :rule instantiate :premises (@p464) :args ((@list @t431))) % 34.31/34.57 (step-pop @p1228 :rule scope :premises (@p470)) % 34.31/34.57 (step @p471 :rule process_scope :premises (@p1228) :args (@t444)) % 34.31/34.57 (step @p473 :rule eq_resolve :premises (@p471 @p468)) % 34.31/34.57 (step @p474 :rule implies_elim :premises (@p473)) % 34.31/34.57 (step @p475 :rule chain_m_resolution :premises (@p474 @p464) :args ((not @t433) @t280 @t445)) % 34.31/34.57 (step @p476 :rule cnf_and_pos :args (@t377 1)) % 34.31/34.57 (step @p477 :rule reordering :premises (@p476) :args ((or @t375 @t380))) % 34.31/34.57 (step @p478 :rule chain_m_resolution :premises (@p477 @p344) :args (@t375 @t280 @t381)) % 34.31/34.57 (step @p479 :rule eq-symm :args (@t451 @t218)) % 34.31/34.57 (step @p480 :rule cong :premises (@p479) :args (@t452)) % 34.31/34.57 (step @p481 :rule cong :premises (@p467 @p480) :args ((=> @t310 @t452))) % 34.31/34.57 (assume-push @p1229 @t310) % 34.31/34.57 (step @p483 :rule instantiate :premises (@p464) :args ((@list @t450))) % 34.31/34.57 (step-pop @p1230 :rule scope :premises (@p483)) % 34.31/34.57 (step @p484 :rule process_scope :premises (@p1230) :args (@t452)) % 34.31/34.57 (step @p486 :rule eq_resolve :premises (@p484 @p481)) % 34.31/34.57 (step @p487 :rule implies_elim :premises (@p486)) % 34.31/34.57 (step @p488 :rule chain_m_resolution :premises (@p487 @p464) :args (@t454 @t280 @t445)) % 34.31/34.57 (step @p489 :rule refl :args (@t458)) % 34.31/34.57 (step @p490 :rule bool-double-not-elim :args (@t453)) % 34.31/34.57 (step @p491 :rule refl :args (@t459)) % 34.31/34.57 (step @p492 :rule refl :args (@t460)) % 34.31/34.57 (step @p493 :rule refl :args (@t326)) % 34.31/34.57 (step @p494 :rule refl :args (@t462)) % 34.31/34.57 (step @p495 :rule nary_cong :premises (@p494 @p493 @p492 @p491 @p490 @p489) :args ((or @t462 @t326 @t460 @t459 (not @t454) @t458))) % 34.31/34.57 (assume-push @p1231 @t461) % 34.31/34.57 (assume-push @p1232 @t325) % 34.31/34.57 (assume-push @p1233 @t376) % 34.31/34.57 (assume-push @p1234 @t375) % 34.31/34.57 (assume-push @p1235 @t454) % 34.31/34.57 (assume-push @p1236 @t454) % 34.31/34.57 (assume-push @p1237 @t325) % 34.31/34.57 (assume-push @p1238 @t376) % 34.31/34.57 (assume-push @p1239 @t461) % 34.31/34.57 (assume-push @p1240 @t375) % 34.31/34.57 (step @p506 :rule false_intro :premises (@p488)) % 34.31/34.57 (step @p507 :rule refl :args (@t451)) % 34.31/34.57 (step @p508 :rule symm :premises (@p1232)) % 34.31/34.57 (step @p509 :rule symm :premises (@p1231)) % 34.31/34.57 (step @p510 :rule trans :premises (@p509 @p1233)) % 34.31/34.57 (step @p511 :rule cong :premises (@p510 @p1234) :args (@t455)) % 34.31/34.57 (step @p512 :rule trans :premises (@p511 @p508)) % 34.31/34.57 (step @p513 :rule cong :premises (@p512) :args (@t456)) % 34.31/34.57 (step @p514 :rule cong :premises (@p513 @p507) :args (@t457)) % 34.31/34.57 (step @p515 :rule trans :premises (@p514 @p506)) % 34.31/34.57 (step @p516 :rule false_elim :premises (@p515)) % 34.31/34.57 (step-pop @p1241 :rule scope :premises (@p516)) % 34.31/34.57 (step-pop @p1242 :rule scope :premises (@p1241)) % 34.31/34.57 (step-pop @p1243 :rule scope :premises (@p1242)) % 34.31/34.57 (step-pop @p1244 :rule scope :premises (@p1243)) % 34.31/34.57 (step-pop @p1245 :rule scope :premises (@p1244)) % 34.31/34.57 (step @p517 :rule process_scope :premises (@p1245) :args (@t458)) % 34.31/34.57 (step @p523 :rule and_intro :premises (@p488 @p1232 @p1233 @p1231 @p1234)) % 34.31/34.57 (step @p524 :rule modus_ponens :premises (@p523 @p517)) % 34.31/34.57 (step-pop @p1246 :rule scope :premises (@p524)) % 34.31/34.57 (step-pop @p1247 :rule scope :premises (@p1246)) % 34.31/34.57 (step-pop @p1248 :rule scope :premises (@p1247)) % 34.31/34.57 (step-pop @p1249 :rule scope :premises (@p1248)) % 34.31/34.57 (step-pop @p1250 :rule scope :premises (@p1249)) % 34.31/34.57 (step @p525 :rule process_scope :premises (@p1250) :args (@t458)) % 34.31/34.57 (step @p531 :rule implies_elim :premises (@p525)) % 34.31/34.57 (step @p532 :rule cnf_and_neg :args (@t463)) % 34.31/34.57 (step @p533 :rule resolution :premises (@p532 @p531) :args (true @t463)) % 34.31/34.57 (step @p534 :rule eq_resolve :premises (@p533 @p495)) % 34.31/34.57 (step @p535 :rule reordering :premises (@p534) :args ((or @t462 @t326 @t460 @t459 @t458 @t453))) % 34.31/34.57 (step @p536 :rule eq-symm :args (@t465 @t218)) % 34.31/34.57 (step @p537 :rule cong :premises (@p536) :args (@t466)) % 34.31/34.57 (step @p538 :rule cong :premises (@p467 @p537) :args ((=> @t310 @t466))) % 34.31/34.57 (assume-push @p1251 @t310) % 34.31/34.57 (step @p540 :rule instantiate :premises (@p464) :args ((@list @t464))) % 34.31/34.57 (step-pop @p1252 :rule scope :premises (@p540)) % 34.31/34.57 (step @p541 :rule process_scope :premises (@p1252) :args (@t466)) % 34.31/34.57 (step @p543 :rule eq_resolve :premises (@p541 @p538)) % 34.31/34.57 (step @p544 :rule implies_elim :premises (@p543)) % 34.31/34.57 (step @p545 :rule chain_m_resolution :premises (@p544 @p464) :args (@t468 @t280 @t445)) % 34.31/34.57 (step @p546 :rule refl :args (@t470)) % 34.31/34.57 (step @p547 :rule bool-double-not-elim :args (@t467)) % 34.31/34.57 (step @p548 :rule nary_cong :premises (@p494 @p493 @p492 @p491 @p547 @p546) :args ((or @t462 @t326 @t460 @t459 (not @t468) @t470))) % 34.31/34.57 (assume-push @p1253 @t461) % 34.31/34.57 (assume-push @p1254 @t325) % 34.31/34.57 (assume-push @p1255 @t376) % 34.31/34.57 (assume-push @p1256 @t375) % 34.31/34.57 (assume-push @p1257 @t468) % 34.31/34.57 (assume-push @p1258 @t468) % 34.31/34.57 (assume-push @p1259 @t325) % 34.31/34.57 (assume-push @p1260 @t376) % 34.31/34.57 (assume-push @p1261 @t461) % 34.31/34.57 (assume-push @p1262 @t375) % 34.31/34.57 (step @p559 :rule false_intro :premises (@p545)) % 34.31/34.57 (step @p560 :rule refl :args (@t465)) % 34.31/34.57 (step @p561 :rule symm :premises (@p1254)) % 34.31/34.57 (step @p562 :rule symm :premises (@p1253)) % 34.31/34.57 (step @p563 :rule trans :premises (@p562 @p1255)) % 34.31/34.57 (step @p564 :rule cong :premises (@p563 @p1256) :args (@t455)) % 34.31/34.57 (step @p565 :rule trans :premises (@p564 @p561)) % 34.31/34.57 (step @p566 :rule cong :premises (@p565) :args (@t456)) % 34.31/34.57 (step @p567 :rule cong :premises (@p566 @p560) :args (@t469)) % 34.31/34.57 (step @p568 :rule trans :premises (@p567 @p559)) % 34.31/34.57 (step @p569 :rule false_elim :premises (@p568)) % 34.31/34.57 (step-pop @p1263 :rule scope :premises (@p569)) % 34.31/34.57 (step-pop @p1264 :rule scope :premises (@p1263)) % 34.31/34.57 (step-pop @p1265 :rule scope :premises (@p1264)) % 34.31/34.57 (step-pop @p1266 :rule scope :premises (@p1265)) % 34.31/34.57 (step-pop @p1267 :rule scope :premises (@p1266)) % 34.31/34.57 (step @p570 :rule process_scope :premises (@p1267) :args (@t470)) % 34.31/34.57 (step @p576 :rule and_intro :premises (@p545 @p1254 @p1255 @p1253 @p1256)) % 34.31/34.57 (step @p577 :rule modus_ponens :premises (@p576 @p570)) % 34.31/34.57 (step-pop @p1268 :rule scope :premises (@p577)) % 34.31/34.57 (step-pop @p1269 :rule scope :premises (@p1268)) % 34.31/34.57 (step-pop @p1270 :rule scope :premises (@p1269)) % 34.31/34.57 (step-pop @p1271 :rule scope :premises (@p1270)) % 34.31/34.57 (step-pop @p1272 :rule scope :premises (@p1271)) % 34.31/34.57 (step @p578 :rule process_scope :premises (@p1272) :args (@t470)) % 34.31/34.57 (step @p584 :rule implies_elim :premises (@p578)) % 34.31/34.57 (step @p585 :rule cnf_and_neg :args (@t471)) % 34.31/34.57 (step @p586 :rule resolution :premises (@p585 @p584) :args (true @t471)) % 34.31/34.57 (step @p587 :rule eq_resolve :premises (@p586 @p548)) % 34.31/34.57 (step @p588 :rule reordering :premises (@p587) :args ((or @t462 @t326 @t460 @t459 @t470 @t467))) % 34.31/34.57 (step @p589 :rule aci_norm :args ((= (or @t476 false @t474) (or @t476 @t474)))) % 34.31/34.57 (step @p590 :rule refl :args (@t474)) % 34.31/34.57 (step @p591 :rule eq-refl :args (@t473)) % 34.31/34.57 (step @p592 :rule cong :premises (@p591) :args (@t477)) % 34.31/34.57 (step @p593 :rule trans :premises (@p592 @p276)) % 34.31/34.57 (step @p594 :rule refl :args (@t476)) % 34.31/34.57 (step @p595 :rule nary_cong :premises (@p594 @p593 @p590) :args (@t478)) % 34.31/34.57 (step @p596 :rule trans :premises (@p595 @p589)) % 34.31/34.57 (step @p597 :rule cong :premises (@p596) :args ((forall @t479 @t478))) % 34.31/34.57 (step @p598 :rule quant-var-elim-eq :args ((= (forall @t405 @t482) @t478))) % 34.31/34.57 (step @p599 :rule aci_norm :args ((= @t483 @t482))) % 34.31/34.57 (step @p600 :rule cong :premises (@p599) :args (@t484)) % 34.31/34.57 (step @p601 :rule trans :premises (@p600 @p598)) % 34.31/34.57 (step @p602 :rule cong :premises (@p601) :args (@t485)) % 34.31/34.57 (step @p603 :rule quant-merge-prenex :args ((= @t485 @t486))) % 34.31/34.57 (step @p604 :rule symm :premises (@p603)) % 34.31/34.57 (step @p605 :rule quant_var_reordering :args ((= (forall @t487 @t483) @t486))) % 34.31/34.57 (step @p606 :rule trans :premises (@p605 @p604 @p602)) % 34.31/34.57 (step @p607 :rule trans :premises (@p606 @p597)) % 34.31/34.57 (step @p608 :rule aci_norm :args ((= (or false @t476 @t481 @t480) @t483))) % 34.31/34.57 (step @p609 :rule refl :args (@t480)) % 34.31/34.57 (step @p610 :rule refl :args (@t481)) % 34.31/34.57 (step @p611 :rule eq-refl :args (@t127)) % 34.31/34.57 (step @p612 :rule cong :premises (@p611) :args (@t488)) % 34.31/34.57 (step @p613 :rule trans :premises (@p612 @p276)) % 34.31/34.57 (step @p614 :rule nary_cong :premises (@p613 @p594 @p610 @p609) :args (@t489)) % 34.31/34.57 (step @p615 :rule trans :premises (@p614 @p608)) % 34.31/34.57 (step @p616 :rule cong :premises (@p615) :args ((forall @t487 @t489))) % 34.31/34.57 (step @p617 :rule trans :premises (@p616 @p607)) % 34.31/34.57 (step @p618 :rule quant-var-elim-eq :args ((= (forall @t492 @t491) @t489))) % 34.31/34.57 (step @p619 :rule aci_norm :args ((= @t493 @t491))) % 34.31/34.57 (step @p620 :rule cong :premises (@p619) :args (@t494)) % 34.31/34.57 (step @p621 :rule trans :premises (@p620 @p618)) % 34.31/34.57 (step @p622 :rule cong :premises (@p621) :args (@t495)) % 34.31/34.57 (step @p623 :rule quant-merge-prenex :args ((= @t495 (forall @t496 @t493)))) % 34.31/34.57 (step @p624 :rule symm :premises (@p623)) % 34.31/34.57 (step @p625 :rule trans :premises (@p624 @p622)) % 34.31/34.57 (step @p626 :rule trans :premises (@p625 @p617)) % 34.31/34.57 (step @p627 :rule aci_norm :args ((= (or false @t490 @t139 @t481 @t124) @t493))) % 34.31/34.57 (step @p628 :rule refl :args (@t124)) % 34.31/34.57 (step @p629 :rule refl :args (@t139)) % 34.31/34.57 (step @p630 :rule refl :args (@t490)) % 34.31/34.57 (step @p631 :rule eq-refl :args (@t131)) % 34.31/34.57 (step @p632 :rule cong :premises (@p631) :args (@t497)) % 34.31/34.57 (step @p633 :rule trans :premises (@p632 @p276)) % 34.31/34.57 (step @p634 :rule nary_cong :premises (@p633 @p630 @p629 @p610 @p628) :args (@t498)) % 34.31/34.57 (step @p635 :rule trans :premises (@p634 @p627)) % 34.31/34.57 (step @p636 :rule cong :premises (@p635) :args ((forall @t496 @t498))) % 34.31/34.57 (step @p637 :rule trans :premises (@p636 @p626)) % 34.31/34.57 (step @p638 :rule quant-var-elim-eq :args ((= (forall @t110 @t500) @t498))) % 34.31/34.57 (step @p639 :rule aci_norm :args ((= @t501 @t500))) % 34.31/34.57 (step @p640 :rule cong :premises (@p639) :args (@t502)) % 34.31/34.57 (step @p641 :rule trans :premises (@p640 @p638)) % 34.31/34.57 (step @p642 :rule cong :premises (@p641) :args (@t503)) % 34.31/34.57 (step @p643 :rule quant-merge-prenex :args ((= @t503 @t504))) % 34.31/34.57 (step @p644 :rule symm :premises (@p643)) % 34.31/34.57 (step @p645 :rule quant_var_reordering :args ((= (forall @t133 @t501) @t504))) % 34.31/34.57 (step @p646 :rule trans :premises (@p645 @p644 @p642)) % 34.31/34.57 (step @p647 :rule trans :premises (@p646 @p637)) % 34.31/34.57 (step @p648 :rule aci_norm :args ((= (or @t499 @t505) @t501))) % 34.31/34.57 (step @p649 :rule aci_norm :args ((= (or (or @t490 @t139) (or @t423 @t124)) @t505))) % 34.31/34.57 (step @p650 :rule bool-impl-elim :args (@t120 @t124)) % 34.31/34.57 (step @p651 :rule bool-and-de-morgan :args (@t128 @t126 true)) % 34.31/34.57 (step @p652 :rule nary_cong :premises (@p651 @p650) :args ((or (not @t129) @t125))) % 34.31/34.57 (step @p653 :rule trans :premises (@p652 @p649)) % 34.31/34.57 (step @p654 :rule bool-impl-elim :args (@t129 @t125)) % 34.31/34.57 (step @p655 :rule trans :premises (@p654 @p653)) % 34.31/34.57 (step @p656 :rule refl :args (@t499)) % 34.31/34.57 (step @p657 :rule nary_cong :premises (@p656 @p655) :args ((or @t499 @t130))) % 34.31/34.57 (step @p658 :rule trans :premises (@p657 @p648)) % 34.31/34.57 (step @p659 :rule bool-impl-elim :args (@t132 @t130)) % 34.31/34.57 (step @p660 :rule trans :premises (@p659 @p658)) % 34.31/34.57 (step @p661 :rule cong :premises (@p660) :args (@t134)) % 34.31/34.57 (step @p662 :rule trans :premises (@p661 @p647)) % 34.31/34.57 (step @p663 :rule eq_resolve :premises (@p44 @p662)) % 34.31/34.57 (step @p664 :rule instantiate :premises (@p663) :args ((@list tptp.ve2 @t448 @t447 @t446))) % 34.31/34.57 (step @p665 :rule cnf_or_pos :args (@t508)) % 34.31/34.57 (step @p666 :rule reordering :premises (@p665) :args ((or @t507 @t457 (not @t508)))) % 34.31/34.57 (step @p667 :rule aci_norm :args ((= (or @t475 @t144 false @t509) @t510))) % 34.31/34.57 (step @p668 :rule eq-symm :args (@t473 @t135)) % 34.31/34.57 (step @p669 :rule refl :args (@t144)) % 34.31/34.57 (step @p670 :rule refl :args (@t475)) % 34.31/34.57 (step @p671 :rule nary_cong :premises (@p670 @p669 @p593 @p668) :args (@t511)) % 34.31/34.57 (step @p672 :rule trans :premises (@p671 @p667)) % 34.31/34.57 (step @p673 :rule cong :premises (@p672) :args ((forall @t512 @t511))) % 34.31/34.57 (step @p674 :rule quant-var-elim-eq :args ((= (forall @t405 @t513) @t511))) % 34.31/34.57 (step @p675 :rule aci_norm :args ((= @t514 @t513))) % 34.31/34.57 (step @p676 :rule cong :premises (@p675) :args (@t515)) % 34.31/34.57 (step @p677 :rule trans :premises (@p676 @p674)) % 34.31/34.57 (step @p678 :rule cong :premises (@p677) :args (@t516)) % 34.31/34.57 (step @p679 :rule quant-merge-prenex :args ((= @t516 @t517))) % 34.31/34.57 (step @p680 :rule symm :premises (@p679)) % 34.31/34.57 (step @p681 :rule quant_var_reordering :args ((= (forall @t518 @t514) @t517))) % 34.31/34.57 (step @p682 :rule trans :premises (@p681 @p680 @p678)) % 34.31/34.57 (step @p683 :rule trans :premises (@p682 @p673)) % 34.31/34.57 (step @p684 :rule aci_norm :args ((= (or false @t475 @t144 @t481 @t136) @t514))) % 34.31/34.57 (step @p685 :rule refl :args (@t136)) % 34.31/34.57 (step @p686 :rule nary_cong :premises (@p613 @p670 @p669 @p610 @p685) :args (@t519)) % 34.31/34.57 (step @p687 :rule trans :premises (@p686 @p684)) % 34.31/34.57 (step @p688 :rule cong :premises (@p687) :args ((forall @t518 @t519))) % 34.31/34.57 (step @p689 :rule trans :premises (@p688 @p683)) % 34.31/34.57 (step @p690 :rule quant-var-elim-eq :args ((= (forall @t492 @t520) @t519))) % 34.31/34.57 (step @p691 :rule aci_norm :args ((= @t521 @t520))) % 34.31/34.57 (step @p692 :rule cong :premises (@p691) :args (@t522)) % 34.31/34.57 (step @p693 :rule trans :premises (@p692 @p690)) % 34.31/34.57 (step @p694 :rule cong :premises (@p693) :args (@t523)) % 34.31/34.57 (step @p695 :rule quant-merge-prenex :args ((= @t523 @t524))) % 34.31/34.57 (step @p696 :rule symm :premises (@p695)) % 34.31/34.57 (step @p697 :rule quant_var_reordering :args ((= (forall @t525 @t521) @t524))) % 34.31/34.57 (step @p698 :rule trans :premises (@p697 @p696 @p694)) % 34.31/34.57 (step @p699 :rule trans :premises (@p698 @p689)) % 34.31/34.57 (step @p700 :rule aci_norm :args ((= (or false @t490 @t126 @t144 @t481 @t136) @t521))) % 34.31/34.57 (step @p701 :rule refl :args (@t126)) % 34.31/34.57 (step @p702 :rule nary_cong :premises (@p633 @p630 @p701 @p669 @p610 @p685) :args (@t526)) % 34.31/34.57 (step @p703 :rule trans :premises (@p702 @p700)) % 34.31/34.57 (step @p704 :rule cong :premises (@p703) :args ((forall @t525 @t526))) % 34.31/34.57 (step @p705 :rule trans :premises (@p704 @p699)) % 34.31/34.57 (step @p706 :rule quant-var-elim-eq :args ((= (forall @t110 @t527) @t526))) % 34.31/34.57 (step @p707 :rule aci_norm :args ((= @t528 @t527))) % 34.31/34.57 (step @p708 :rule cong :premises (@p707) :args (@t529)) % 34.31/34.57 (step @p709 :rule trans :premises (@p708 @p706)) % 34.31/34.57 (step @p710 :rule cong :premises (@p709) :args (@t530)) % 34.31/34.57 (step @p711 :rule quant-merge-prenex :args ((= @t530 @t531))) % 34.31/34.57 (step @p712 :rule symm :premises (@p711)) % 34.31/34.57 (step @p713 :rule quant_var_reordering :args ((= (forall @t142 @t528) @t531))) % 34.31/34.57 (step @p714 :rule trans :premises (@p713 @p712 @p710)) % 34.31/34.57 (step @p715 :rule trans :premises (@p714 @p705)) % 34.31/34.57 (step @p716 :rule aci_norm :args ((= (or @t499 @t532) @t528))) % 34.31/34.57 (step @p717 :rule aci_norm :args ((= (or (or @t490 @t126 @t144) (or @t423 @t136)) @t532))) % 34.31/34.57 (step @p718 :rule bool-impl-elim :args (@t120 @t136)) % 34.31/34.57 (step @p719 :rule refl :args (@t144)) % 34.31/34.57 (step @p720 :rule bool-double-not-elim :args (@t126)) % 34.31/34.57 (step @p721 :rule refl :args (@t490)) % 34.31/34.57 (step @p722 :rule nary_cong :premises (@p721 @p720 @p719) :args (@t534)) % 34.31/34.57 (step @p723 :rule aci_norm :args ((= (or @t490 (or @t533 @t144)) @t534))) % 34.31/34.57 (step @p724 :rule trans :premises (@p723 @p722)) % 34.31/34.57 (step @p725 :rule bool-and-de-morgan :args (@t139 @t138 true)) % 34.31/34.57 (step @p726 :rule nary_cong :premises (@p721 @p725) :args ((or @t490 (not (and @t139 @t138))))) % 34.31/34.57 (step @p727 :rule bool-and-de-morgan :args (@t128 @t139 (and @t138))) % 34.31/34.57 (step @p728 :rule trans :premises (@p727 @p726)) % 34.31/34.57 (step @p729 :rule trans :premises (@p728 @p724)) % 34.31/34.57 (step @p730 :rule nary_cong :premises (@p729 @p718) :args ((or (not @t140) @t137))) % 34.31/34.57 (step @p731 :rule trans :premises (@p730 @p717)) % 34.31/34.57 (step @p732 :rule bool-impl-elim :args (@t140 @t137)) % 34.31/34.57 (step @p733 :rule trans :premises (@p732 @p731)) % 34.31/34.57 (step @p734 :rule nary_cong :premises (@p656 @p733) :args ((or @t499 @t141))) % 34.31/34.57 (step @p735 :rule trans :premises (@p734 @p716)) % 34.31/34.57 (step @p736 :rule bool-impl-elim :args (@t132 @t141)) % 34.31/34.57 (step @p737 :rule trans :premises (@p736 @p735)) % 34.31/34.57 (step @p738 :rule cong :premises (@p737) :args (@t143)) % 34.31/34.57 (step @p739 :rule trans :premises (@p738 @p715)) % 34.31/34.57 (step @p740 :rule eq_resolve :premises (@p45 @p739)) % 34.31/34.57 (step @p741 :rule eq-symm :args (@t465 @t456)) % 34.31/34.57 (step @p742 :rule refl :args (@t212)) % 34.31/34.57 (step @p743 :rule refl :args (@t506)) % 34.31/34.57 (step @p744 :rule nary_cong :premises (@p743 @p742 @p741) :args (@t535)) % 34.31/34.57 (step @p745 :rule refl :args (@t536)) % 34.31/34.57 (step @p746 :rule cong :premises (@p745 @p744) :args ((=> @t536 @t535))) % 34.31/34.57 (assume-push @p1273 @t536) % 34.31/34.57 (step @p748 :rule instantiate :premises (@p740) :args ((@list @t447 @t448 tptp.ve2 @t446))) % 34.31/34.57 (step-pop @p1274 :rule scope :premises (@p748)) % 34.31/34.57 (step @p749 :rule process_scope :premises (@p1274) :args (@t535)) % 34.31/34.57 (step @p751 :rule eq_resolve :premises (@p749 @p746)) % 34.31/34.57 (step @p752 :rule implies_elim :premises (@p751)) % 34.31/34.57 (step @p753 :rule chain_m_resolution :premises (@p752 @p740) :args (@t537 @t280 (@list @t536))) % 34.31/34.57 (step @p754 :rule cnf_or_pos :args (@t537)) % 34.31/34.57 (step @p755 :rule reordering :premises (@p754) :args ((or @t212 @t506 @t469 (not @t537)))) % 34.31/34.57 (step @p756 :rule chain_m_resolution :premises (@p755 @p753 @p666 @p664 @p588 @p545 @p478 @p347 @p341 @p535 @p488 @p478 @p347 @p341) :args ((or @t212 @t462) (@list false true false true true false false false true true false false false) (@list @t537 @t506 @t508 @t469 @t467 @t375 @t376 @t325 @t457 @t453 @t375 @t376 @t325))) % 34.31/34.57 (step @p757 :rule bool-double-not-elim :args (@t318)) % 34.31/34.57 (step @p758 :rule nary_cong :premises (@p266 @p757) :args ((or @t327 (not @t319)))) % 34.31/34.57 (step @p759 :rule cnf_or_neg :args (@t327 2)) % 34.31/34.57 (step @p760 :rule eq_resolve :premises (@p759 @p758)) % 34.31/34.57 (step @p761 :rule reordering :premises (@p760) :args ((or @t318 @t327))) % 34.31/34.57 (step @p762 :rule chain_m_resolution :premises (@p761 @p264) :args (@t318 @t293 @t332)) % 34.31/34.57 (step @p763 :rule bool-double-not-elim :args (@t538)) % 34.31/34.57 (step @p764 :rule nary_cong :premises (@p249 @p491 @p763) :args ((or @t319 @t459 (not @t539)))) % 34.31/34.57 (assume-push @p1275 @t539) % 34.31/34.57 (assume-push @p1276 @t375) % 34.31/34.57 (assume-push @p1277 @t318) % 34.31/34.57 (step @p768 :rule evaluate :args (@t540)) % 34.31/34.57 (step @p769 :rule false_intro :premises (@p1275)) % 34.31/34.57 (step @p770 :rule refl :args (@t316)) % 34.31/34.57 (step @p771 :rule symm :premises (@p1276)) % 34.31/34.57 (step @p772 :rule refl :args (tptp.vempty)) % 34.31/34.57 (step @p773 :rule cong :premises (@p772 @p771 @p770) :args (@t318)) % 34.31/34.57 (step @p774 :rule true_intro :premises (@p1277)) % 34.31/34.57 (step @p775 :rule symm :premises (@p774)) % 34.31/34.57 (step @p776 :rule trans :premises (@p775 @p773 @p769)) % 34.31/34.57 (step @p777 false :rule eq_resolve :premises (@p776 @p768)) % 34.31/34.57 (step-pop @p1278 :rule scope :premises (@p777)) % 34.31/34.57 (step-pop @p1279 :rule scope :premises (@p1278)) % 34.31/34.57 (step-pop @p1280 :rule scope :premises (@p1279)) % 34.31/34.57 (step @p778 :rule process_scope :premises (@p1280) :args (false)) % 34.31/34.57 (assume-push @p1281 @t318) % 34.31/34.57 (assume-push @p1282 @t375) % 34.31/34.57 (assume-push @p1283 @t539) % 34.31/34.57 (step @p785 :rule and_intro :premises (@p1283 @p1282 @p1281)) % 34.31/34.57 (step-pop @p1284 :rule scope :premises (@p785)) % 34.31/34.57 (step-pop @p1285 :rule scope :premises (@p1284)) % 34.31/34.57 (step-pop @p1286 :rule scope :premises (@p1285)) % 34.31/34.57 (step @p786 :rule process_scope :premises (@p1286) :args (@t541)) % 34.31/34.57 (step @p790 :rule implies_elim :premises (@p786)) % 34.31/34.57 (step @p791 :rule resolution :premises (@p790 @p778) :args (true @t541)) % 34.31/34.57 (step @p792 :rule not_and :premises (@p791)) % 34.31/34.57 (step @p793 :rule eq_resolve :premises (@p792 @p764)) % 34.31/34.57 (step @p794 :rule chain_m_resolution :premises (@p793 @p762 @p478) :args (@t538 @t379 (@list @t318 @t375))) % 34.31/34.57 (assume-push @p1287 @t543) % 34.31/34.57 (step @p796 :rule instantiate :premises (@p1287) :args ((@list @t316))) % 34.31/34.57 (step-pop @p1288 :rule scope :premises (@p796)) % 34.31/34.57 (step @p797 :rule process_scope :premises (@p1288) :args (@t539)) % 34.31/34.57 (step @p799 :rule implies_elim :premises (@p797)) % 34.31/34.57 (step @p800 :rule chain_m_resolution :premises (@p799 @p794) :args ((not @t543) @t280 (@list @t538))) % 34.31/34.57 (step @p801 :rule quant-miniscope-or :args ((= (forall @t207 @t547) (or @t211 @t546 @t543)))) % 34.31/34.57 (step @p802 :rule aci_norm :args ((= @t548 @t547))) % 34.31/34.57 (step @p803 :rule cong :premises (@p802) :args ((forall @t207 @t548))) % 34.31/34.57 (step @p804 :rule trans :premises (@p803 @p801)) % 34.31/34.57 (step @p805 :rule aci_norm :args ((= (or (or @t542 @t211) @t546) @t548))) % 34.31/34.57 (step @p806 :rule refl :args (@t546)) % 34.31/34.57 (step @p807 :rule bool-double-not-elim :args (@t211)) % 34.31/34.57 (step @p808 :rule refl :args (@t542)) % 34.31/34.57 (step @p809 :rule nary_cong :premises (@p808 @p807) :args ((or @t542 (not @t212)))) % 34.31/34.57 (step @p810 :rule bool-and-de-morgan :args (@t213 @t212 true)) % 34.31/34.57 (step @p811 :rule trans :premises (@p810 @p809)) % 34.31/34.57 (step @p812 :rule nary_cong :premises (@p811 @p806) :args ((or (not @t214) @t546))) % 34.31/34.57 (step @p813 :rule trans :premises (@p812 @p805)) % 34.31/34.57 (step @p814 :rule bool-impl-elim :args (@t214 @t546)) % 34.31/34.57 (step @p815 :rule trans :premises (@p814 @p813)) % 34.31/34.57 (step @p816 :rule cong :premises (@p815) :args ((forall @t207 (=> @t214 @t546)))) % 34.31/34.57 (step @p817 :rule trans :premises (@p816 @p804)) % 34.31/34.57 (step @p818 :rule exists-elim :args ((= (exists @t200 @t544) @t546))) % 34.31/34.57 (step @p819 :rule eq-symm :args (@t209 @t197)) % 34.31/34.57 (step @p820 :rule cong :premises (@p819) :args (@t210)) % 34.31/34.57 (step @p821 :rule trans :premises (@p820 @p818)) % 34.31/34.57 (step @p822 :rule refl :args (@t214)) % 34.31/34.57 (step @p823 :rule cong :premises (@p822 @p821) :args (@t215)) % 34.31/34.57 (step @p824 :rule cong :premises (@p823) :args (@t216)) % 34.31/34.57 (step @p825 :rule trans :premises (@p824 @p817)) % 34.31/34.57 (step @p826 :rule eq_resolve :premises (@p58 @p825)) % 34.31/34.57 (step @p827 :rule instantiate :premises (@p368) :args ((@list @t549))) % 34.31/34.57 (step @p828 :rule refl :args (@t552)) % 34.31/34.57 (step @p829 :rule refl :args (@t554)) % 34.31/34.57 (step @p830 :rule bool-double-not-elim :args (@t506)) % 34.31/34.57 (step @p831 :rule nary_cong :premises (@p830 @p829 @p828) :args ((or (not @t507) @t554 @t552))) % 34.31/34.57 (assume-push @p1289 @t507) % 34.31/34.57 (assume-push @p1290 @t553) % 34.31/34.57 (assume-push @p1291 @t551) % 34.31/34.57 (step @p768 :rule evaluate :args (@t540)) % 34.31/34.57 (step @p835 :rule false_intro :premises (@p1289)) % 34.31/34.57 (step @p836 :rule symm :premises (@p1290)) % 34.31/34.57 (step @p837 :rule cong :premises (@p836) :args (@t551)) % 34.31/34.57 (step @p838 :rule true_intro :premises (@p827)) % 34.31/34.57 (step @p839 :rule symm :premises (@p838)) % 34.31/34.57 (step @p840 :rule trans :premises (@p839 @p837 @p835)) % 34.31/34.57 (step @p841 false :rule eq_resolve :premises (@p840 @p768)) % 34.31/34.57 (step-pop @p1292 :rule scope :premises (@p841)) % 34.31/34.57 (step-pop @p1293 :rule scope :premises (@p1292)) % 34.31/34.57 (step-pop @p1294 :rule scope :premises (@p1293)) % 34.31/34.57 (step @p842 :rule process_scope :premises (@p1294) :args (false)) % 34.31/34.57 (step @p846 :rule not_and :premises (@p842)) % 34.31/34.57 (step @p847 :rule eq_resolve :premises (@p846 @p831)) % 34.31/34.57 (step @p848 :rule refl :args (@t553)) % 34.31/34.57 (step @p849 :rule bool-double-not-elim :args (@t545)) % 34.31/34.57 (step @p850 :rule nary_cong :premises (@p849 @p848) :args ((or (not @t546) @t553))) % 34.31/34.57 (step @p851 :rule eq-symm :args (@t550 @t209)) % 34.31/34.57 (step @p852 :rule bool-double-not-elim :args (@t555)) % 34.31/34.57 (step @p853 :rule trans :premises (@p852 @p851)) % 34.31/34.57 (step @p854 :rule refl :args (@t546)) % 34.31/34.57 (step @p855 :rule cong :premises (@p854 @p853) :args ((=> @t546 @t556))) % 34.31/34.57 (assume-push @p1295 @t546) % 34.31/34.57 (step @p857 :rule skolemize :premises (@p1295)) % 34.31/34.57 (step-pop @p1296 :rule scope :premises (@p857)) % 34.31/34.57 (step @p858 :rule process_scope :premises (@p1296) :args (@t556)) % 34.31/34.57 (step @p860 :rule eq_resolve :premises (@p858 @p855)) % 34.31/34.57 (step @p861 :rule implies_elim :premises (@p860)) % 34.31/34.57 (step @p862 :rule eq_resolve :premises (@p861 @p850)) % 34.31/34.57 (step @p863 :rule chain_m_resolution :premises (@p862 @p847 @p827 @p826 @p800 @p666 @p664 @p756 @p535 @p488 @p478 @p347 @p341) :args (@t462 (@list true false true true true false true true true false false false) (@list @t553 @t551 @t545 @t543 @t506 @t508 @t211 @t457 @t453 @t375 @t376 @t325))) % 34.31/34.57 (step @p864 :rule refl :args (@t461)) % 34.31/34.57 (step @p865 :rule bool-double-not-elim :args (@t441)) % 34.31/34.57 (step @p866 :rule nary_cong :premises (@p865 @p864) :args ((or (not @t442) @t461))) % 34.31/34.57 (step @p867 :rule eq-symm :args (@t449 tptp.ve1)) % 34.31/34.57 (step @p868 :rule bool-double-not-elim :args (@t557)) % 34.31/34.57 (step @p869 :rule trans :premises (@p868 @p867)) % 34.31/34.57 (step @p870 :rule refl :args (@t442)) % 34.31/34.57 (step @p871 :rule cong :premises (@p870 @p869) :args ((=> @t442 @t558))) % 34.31/34.57 (assume-push @p1297 @t442) % 34.31/34.57 (step @p873 :rule skolemize :premises (@p1297)) % 34.31/34.57 (step-pop @p1298 :rule scope :premises (@p873)) % 34.31/34.57 (step @p874 :rule process_scope :premises (@p1298) :args (@t558)) % 34.31/34.57 (step @p876 :rule eq_resolve :premises (@p874 @p871)) % 34.31/34.57 (step @p877 :rule implies_elim :premises (@p876)) % 34.31/34.57 (step @p878 :rule eq_resolve :premises (@p877 @p866)) % 34.31/34.57 (step @p879 :rule chain_m_resolution :premises (@p878 @p863) :args (@t441 @t293 (@list @t461))) % 34.31/34.57 (step @p880 :rule cnf_or_pos :args (@t443)) % 34.31/34.57 (step @p881 :rule reordering :premises (@p880) :args ((or @t442 @t435 @t433 (not @t443)))) % 34.31/34.57 (step @p882 :rule chain_m_resolution :premises (@p881 @p879 @p475 @p462) :args (@t435 (@list false true false) (@list @t441 @t433 @t443))) % 34.31/34.57 (step @p883 :rule refl :args (@t561)) % 34.31/34.57 (step @p884 :rule refl :args (@t563)) % 34.31/34.57 (step @p885 :rule bool-double-not-elim :args (@t434)) % 34.31/34.57 (step @p886 :rule nary_cong :premises (@p885 @p884 @p883) :args ((or (not @t435) @t563 @t561))) % 34.31/34.57 (assume-push @p1299 @t435) % 34.31/34.57 (assume-push @p1300 @t562) % 34.31/34.57 (assume-push @p1301 @t560) % 34.31/34.57 (step @p768 :rule evaluate :args (@t540)) % 34.31/34.57 (step @p890 :rule false_intro :premises (@p1299)) % 34.31/34.57 (step @p891 :rule symm :premises (@p1300)) % 34.31/34.57 (step @p892 :rule cong :premises (@p891) :args (@t560)) % 34.31/34.57 (step @p893 :rule true_intro :premises (@p369)) % 34.31/34.57 (step @p894 :rule symm :premises (@p893)) % 34.31/34.57 (step @p895 :rule trans :premises (@p894 @p892 @p890)) % 34.31/34.57 (step @p896 false :rule eq_resolve :premises (@p895 @p768)) % 34.31/34.57 (step-pop @p1302 :rule scope :premises (@p896)) % 34.31/34.57 (step-pop @p1303 :rule scope :premises (@p1302)) % 34.31/34.57 (step-pop @p1304 :rule scope :premises (@p1303)) % 34.31/34.57 (step @p897 :rule process_scope :premises (@p1304) :args (false)) % 34.31/34.57 (step @p901 :rule not_and :premises (@p897)) % 34.31/34.57 (step @p902 :rule eq_resolve :premises (@p901 @p886)) % 34.31/34.57 (step @p903 :rule chain_m_resolution :premises (@p902 @p882 @p369) :args (@t563 @t564 (@list @t434 @t560))) % 34.31/34.57 (step @p904 :rule refl :args (@t562)) % 34.31/34.57 (step @p905 :rule bool-double-not-elim :args (@t391)) % 34.31/34.57 (step @p906 :rule nary_cong :premises (@p905 @p904) :args ((or (not @t565) @t562))) % 34.31/34.57 (step @p907 :rule bool-double-not-elim :args (@t562)) % 34.31/34.57 (step @p908 :rule refl :args (@t565)) % 34.31/34.57 (step @p909 :rule cong :premises (@p908 @p907) :args ((=> @t565 @t566))) % 34.31/34.57 (assume-push @p1305 @t565) % 34.31/34.57 (step @p911 :rule skolemize :premises (@p1305)) % 34.31/34.57 (step-pop @p1306 :rule scope :premises (@p911)) % 34.31/34.57 (step @p912 :rule process_scope :premises (@p1306) :args (@t566)) % 34.31/34.57 (step @p914 :rule eq_resolve :premises (@p912 @p909)) % 34.31/34.57 (step @p915 :rule implies_elim :premises (@p914)) % 34.31/34.57 (step @p916 :rule eq_resolve :premises (@p915 @p906)) % 34.31/34.57 (step @p917 :rule chain_m_resolution :premises (@p916 @p903) :args (@t391 @t293 (@list @t562))) % 34.31/34.57 (step @p918 :rule aci_norm :args ((= (or false @t567) @t567))) % 34.31/34.57 (step @p919 :rule refl :args (@t567)) % 34.31/34.57 (step @p920 :rule eq-refl :args (@t34)) % 34.31/34.57 (step @p921 :rule cong :premises (@p920) :args (@t568)) % 34.31/34.57 (step @p922 :rule trans :premises (@p921 @p276)) % 34.31/34.57 (step @p923 :rule nary_cong :premises (@p922 @p919) :args (@t569)) % 34.31/34.57 (step @p924 :rule trans :premises (@p923 @p918)) % 34.31/34.57 (step @p925 :rule cong :premises (@p924) :args ((forall @t82 @t569))) % 34.31/34.57 (step @p926 :rule quant-var-elim-eq :args ((= (forall @t110 @t571) @t569))) % 34.31/34.57 (step @p927 :rule aci_norm :args ((= @t572 @t571))) % 34.31/34.57 (step @p928 :rule cong :premises (@p927) :args (@t573)) % 34.31/34.57 (step @p929 :rule trans :premises (@p928 @p926)) % 34.31/34.57 (step @p930 :rule cong :premises (@p929) :args (@t574)) % 34.31/34.57 (step @p931 :rule quant-merge-prenex :args ((= @t574 (forall @t36 @t572)))) % 34.31/34.57 (step @p932 :rule symm :premises (@p931)) % 34.31/34.57 (step @p933 :rule trans :premises (@p932 @p930)) % 34.31/34.57 (step @p934 :rule trans :premises (@p933 @p925)) % 34.31/34.57 (step @p935 :rule bool-impl-elim :args (@t35 @t33)) % 34.31/34.57 (step @p936 :rule cong :premises (@p935) :args (@t37)) % 34.31/34.57 (step @p937 :rule trans :premises (@p936 @p934)) % 34.31/34.57 (step @p938 :rule eq_resolve :premises (@p8 @p937)) % 34.31/34.57 (step @p939 :rule instantiate :premises (@p938) :args ((@list @t578))) % 34.31/34.57 (step @p940 :rule bool-double-not-elim :args (@t580)) % 34.31/34.57 (step @p941 :rule refl :args (@t582)) % 34.31/34.57 (step @p942 :rule refl :args (@t203)) % 34.31/34.57 (step @p943 :rule nary_cong :premises (@p942 @p492 @p941 @p940) :args ((or @t203 @t460 @t582 (not @t583)))) % 34.31/34.57 (assume-push @p1307 @t202) % 34.31/34.57 (assume-push @p1308 @t376) % 34.31/34.57 (assume-push @p1309 @t581) % 34.31/34.57 (assume-push @p1310 @t583) % 34.31/34.57 (step @p948 :rule evaluate :args (@t584)) % 34.31/34.57 (step @p949 :rule true_intro :premises (@p1307)) % 34.31/34.57 (step @p950 :rule symm :premises (@p1308)) % 34.31/34.57 (step @p951 :rule symm :premises (@p1309)) % 34.31/34.57 (step @p952 :rule trans :premises (@p951 @p950)) % 34.31/34.57 (step @p953 :rule cong :premises (@p952) :args (@t580)) % 34.31/34.57 (step @p954 :rule false_intro :premises (@p939)) % 34.31/34.57 (step @p955 :rule symm :premises (@p954)) % 34.31/34.57 (step @p956 :rule trans :premises (@p955 @p953 @p949)) % 34.31/34.57 (step @p957 false :rule eq_resolve :premises (@p956 @p948)) % 34.31/34.57 (step-pop @p1311 :rule scope :premises (@p957)) % 34.31/34.57 (step-pop @p1312 :rule scope :premises (@p1311)) % 34.31/34.57 (step-pop @p1313 :rule scope :premises (@p1312)) % 34.31/34.57 (step-pop @p1314 :rule scope :premises (@p1313)) % 34.31/34.57 (step @p958 :rule process_scope :premises (@p1314) :args (false)) % 34.31/34.57 (step @p963 :rule not_and :premises (@p958)) % 34.31/34.57 (step @p964 :rule eq_resolve :premises (@p963 @p943)) % 34.31/34.57 (step @p965 :rule aci_norm :args ((= (or false @t585) @t585))) % 34.31/34.57 (step @p966 :rule refl :args (@t585)) % 34.31/34.57 (step @p967 :rule nary_cong :premises (@p416 @p966) :args (@t586)) % 34.31/34.57 (step @p968 :rule trans :premises (@p967 @p965)) % 34.31/34.57 (step @p969 :rule cong :premises (@p968) :args ((forall @t401 @t586))) % 34.31/34.57 (step @p970 :rule quant-var-elim-eq :args ((= (forall @t110 @t587) @t586))) % 34.31/34.57 (step @p971 :rule aci_norm :args ((= @t588 @t587))) % 34.31/34.57 (step @p972 :rule cong :premises (@p971) :args (@t589)) % 34.31/34.57 (step @p973 :rule trans :premises (@p972 @p970)) % 34.31/34.57 (step @p974 :rule cong :premises (@p973) :args (@t590)) % 34.31/34.57 (step @p975 :rule quant-merge-prenex :args ((= @t590 (forall @t42 @t588)))) % 34.31/34.57 (step @p976 :rule symm :premises (@p975)) % 34.31/34.57 (step @p977 :rule trans :premises (@p976 @p974)) % 34.31/34.57 (step @p978 :rule trans :premises (@p977 @p969)) % 34.31/34.57 (step @p979 :rule bool-impl-elim :args (@t41 @t33)) % 34.31/34.57 (step @p980 :rule cong :premises (@p979) :args (@t43)) % 34.31/34.57 (step @p981 :rule trans :premises (@p980 @p978)) % 34.31/34.57 (step @p982 :rule eq_resolve :premises (@p9 @p981)) % 34.31/34.57 (step @p983 :rule instantiate :premises (@p982) :args ((@list @t594 @t593))) % 34.31/34.57 (step @p984 :rule bool-double-not-elim :args (@t596)) % 34.31/34.57 (step @p985 :rule refl :args (@t598)) % 34.31/34.57 (step @p986 :rule nary_cong :premises (@p942 @p492 @p985 @p984) :args ((or @t203 @t460 @t598 (not @t599)))) % 34.31/34.57 (assume-push @p1315 @t202) % 34.31/34.57 (assume-push @p1316 @t376) % 34.31/34.57 (assume-push @p1317 @t597) % 34.31/34.57 (assume-push @p1318 @t599) % 34.31/34.57 (step @p948 :rule evaluate :args (@t584)) % 34.31/34.57 (step @p991 :rule true_intro :premises (@p1315)) % 34.31/34.57 (step @p992 :rule symm :premises (@p1316)) % 34.31/34.57 (step @p993 :rule symm :premises (@p1317)) % 34.31/34.57 (step @p994 :rule trans :premises (@p993 @p992)) % 34.31/34.57 (step @p995 :rule cong :premises (@p994) :args (@t596)) % 34.31/34.57 (step @p996 :rule false_intro :premises (@p983)) % 34.31/34.57 (step @p997 :rule symm :premises (@p996)) % 34.31/34.57 (step @p998 :rule trans :premises (@p997 @p995 @p991)) % 34.31/34.57 (step @p999 false :rule eq_resolve :premises (@p998 @p948)) % 34.31/34.57 (step-pop @p1319 :rule scope :premises (@p999)) % 34.31/34.57 (step-pop @p1320 :rule scope :premises (@p1319)) % 34.31/34.57 (step-pop @p1321 :rule scope :premises (@p1320)) % 34.31/34.57 (step-pop @p1322 :rule scope :premises (@p1321)) % 34.31/34.57 (step @p1000 :rule process_scope :premises (@p1322) :args (false)) % 34.31/34.57 (step @p1005 :rule not_and :premises (@p1000)) % 34.31/34.57 (step @p1006 :rule eq_resolve :premises (@p1005 @p986)) % 34.31/34.57 (step @p1007 :rule bool-double-not-elim :args (@t581)) % 34.31/34.57 (step @p1008 :rule refl :args (@t601)) % 34.31/34.57 (step @p1009 :rule nary_cong :premises (@p1008 @p1007) :args ((or @t601 (not @t582)))) % 34.31/34.57 (step @p1010 :rule cnf_or_neg :args (@t601 0)) % 34.31/34.57 (step @p1011 :rule eq_resolve :premises (@p1010 @p1009)) % 34.31/34.57 (step @p1012 :rule reordering :premises (@p1011) :args ((or @t581 @t601))) % 34.31/34.57 (step @p1013 :rule bool-double-not-elim :args (@t597)) % 34.31/34.57 (step @p1014 :rule refl :args (@t605)) % 34.31/34.57 (step @p1015 :rule nary_cong :premises (@p1014 @p1013) :args ((or @t605 (not @t598)))) % 34.31/34.57 (step @p1016 :rule cnf_or_neg :args (@t605 0)) % 34.31/34.57 (step @p1017 :rule eq_resolve :premises (@p1016 @p1015)) % 34.31/34.57 (step @p1018 :rule reordering :premises (@p1017) :args ((or @t597 @t605))) % 34.31/34.57 (step @p1019 :rule refl :args (@t606)) % 34.31/34.57 (step @p1020 :rule bool-double-not-elim :args (@t577)) % 34.31/34.57 (step @p1021 :rule nary_cong :premises (@p1020 @p1019) :args ((or (not @t607) @t606))) % 34.31/34.57 (step @p1022 :rule eq-symm :args (@t600 @t575)) % 34.31/34.57 (step @p1023 :rule cong :premises (@p1022) :args (@t608)) % 34.31/34.57 (step @p1024 :rule eq-symm :args (@t579 @t321)) % 34.31/34.57 (step @p1025 :rule cong :premises (@p1024) :args (@t609)) % 34.31/34.57 (step @p1026 :rule nary_cong :premises (@p1025 @p1023) :args (@t610)) % 34.31/34.57 (step @p1027 :rule cong :premises (@p1026) :args (@t611)) % 34.31/34.57 (step @p1028 :rule refl :args (@t607)) % 34.31/34.57 (step @p1029 :rule cong :premises (@p1028 @p1027) :args ((=> @t607 @t611))) % 34.31/34.57 (assume-push @p1323 @t607) % 34.31/34.57 (step @p1031 :rule skolemize :premises (@p1323)) % 34.31/34.57 (step-pop @p1324 :rule scope :premises (@p1031)) % 34.31/34.57 (step @p1032 :rule process_scope :premises (@p1324) :args (@t611)) % 34.31/34.57 (step @p1034 :rule eq_resolve :premises (@p1032 @p1029)) % 34.31/34.57 (step @p1035 :rule implies_elim :premises (@p1034)) % 34.31/34.57 (step @p1036 :rule eq_resolve :premises (@p1035 @p1021)) % 34.31/34.57 (step @p1037 :rule refl :args (@t612)) % 34.31/34.57 (step @p1038 :rule bool-double-not-elim :args (@t592)) % 34.31/34.57 (step @p1039 :rule nary_cong :premises (@p1038 @p1037) :args ((or (not @t613) @t612))) % 34.31/34.57 (step @p1040 :rule refl :args (@t603)) % 34.31/34.57 (step @p1041 :rule refl :args (@t604)) % 34.31/34.57 (step @p1042 :rule eq-symm :args (@t595 @t321)) % 34.31/34.57 (step @p1043 :rule cong :premises (@p1042) :args (@t614)) % 34.31/34.57 (step @p1044 :rule nary_cong :premises (@p1043 @p1041 @p1040) :args (@t615)) % 34.31/34.57 (step @p1045 :rule cong :premises (@p1044) :args (@t616)) % 34.31/34.57 (step @p1046 :rule refl :args (@t613)) % 34.31/34.57 (step @p1047 :rule cong :premises (@p1046 @p1045) :args ((=> @t613 @t616))) % 34.31/34.57 (assume-push @p1325 @t613) % 34.31/34.57 (step @p1049 :rule skolemize :premises (@p1325)) % 34.31/34.57 (step-pop @p1326 :rule scope :premises (@p1049)) % 34.31/34.57 (step @p1050 :rule process_scope :premises (@p1326) :args (@t616)) % 34.31/34.57 (step @p1052 :rule eq_resolve :premises (@p1050 @p1047)) % 34.31/34.57 (step @p1053 :rule implies_elim :premises (@p1052)) % 34.31/34.57 (step @p1054 :rule eq_resolve :premises (@p1053 @p1039)) % 34.31/34.57 (step @p1055 :rule refl :args (@t591)) % 34.31/34.57 (step @p1056 :rule eq-symm :args (@t321 @t40)) % 34.31/34.57 (step @p1057 :rule cong :premises (@p1056) :args (@t617)) % 34.31/34.57 (step @p1058 :rule nary_cong :premises (@p1057 @p1055 @p98) :args (@t618)) % 34.31/34.57 (step @p1059 :rule cong :premises (@p1058) :args (@t619)) % 34.31/34.57 (step @p1060 :rule cong :premises (@p1059) :args (@t620)) % 34.31/34.57 (step @p1061 :rule eq-symm :args (@t320 @t180)) % 34.31/34.57 (step @p1062 :rule cong :premises (@p1061) :args (@t621)) % 34.31/34.57 (step @p1063 :rule eq-symm :args (@t321 @t182)) % 34.31/34.57 (step @p1064 :rule cong :premises (@p1063) :args (@t622)) % 34.31/34.57 (step @p1065 :rule nary_cong :premises (@p1064 @p1062 @p105) :args (@t623)) % 34.31/34.57 (step @p1066 :rule cong :premises (@p1065) :args (@t624)) % 34.31/34.57 (step @p1067 :rule cong :premises (@p1066) :args (@t625)) % 34.31/34.57 (step @p1068 :rule refl :args (@t576)) % 34.31/34.57 (step @p1069 :rule eq-symm :args (@t321 @t34)) % 34.31/34.57 (step @p1070 :rule cong :premises (@p1069) :args (@t626)) % 34.31/34.57 (step @p1071 :rule nary_cong :premises (@p1070 @p1068) :args (@t627)) % 34.31/34.57 (step @p1072 :rule cong :premises (@p1071) :args (@t628)) % 34.31/34.57 (step @p1073 :rule cong :premises (@p1072) :args (@t629)) % 34.31/34.57 (step @p1074 :rule nary_cong :premises (@p250 @p1073 @p1067 @p1060) :args (@t630)) % 34.31/34.57 (step @p1075 :rule cong :premises (@p121 @p1074) :args ((=> @t272 @t630))) % 34.31/34.57 (assume-push @p1327 @t272) % 34.31/34.57 (step @p1077 :rule instantiate :premises (@p97) :args ((@list @t321 @t320 tptp.vempty))) % 34.31/34.57 (step-pop @p1328 :rule scope :premises (@p1077)) % 34.31/34.57 (step @p1078 :rule process_scope :premises (@p1328) :args (@t630)) % 34.31/34.57 (step @p1080 :rule eq_resolve :premises (@p1078 @p1075)) % 34.31/34.57 (step @p1081 :rule implies_elim :premises (@p1080)) % 34.31/34.57 (step @p1082 :rule chain_m_resolution :premises (@p1081 @p97) :args (@t633 @t280 @t281)) % 34.31/34.57 (step @p1083 :rule eq-symm :args (@t637 tptp.ve1)) % 34.31/34.57 (step @p1084 :rule cong :premises (@p1083) :args (@t638)) % 34.31/34.57 (step @p1085 :rule refl :args (@t441)) % 34.31/34.57 (step @p1086 :rule cong :premises (@p1085 @p1084) :args ((=> @t441 @t638))) % 34.31/34.57 (assume-push @p1329 @t441) % 34.31/34.57 (step @p1088 :rule instantiate :premises (@p1329) :args ((@list @t636 @t635 @t634))) % 34.31/34.57 (step-pop @p1330 :rule scope :premises (@p1088)) % 34.31/34.57 (step @p1089 :rule process_scope :premises (@p1330) :args (@t638)) % 34.31/34.57 (step @p1091 :rule eq_resolve :premises (@p1089 @p1086)) % 34.31/34.57 (step @p1092 :rule implies_elim :premises (@p1091)) % 34.31/34.57 (step @p1093 :rule chain_m_resolution :premises (@p1092 @p879) :args (@t640 @t280 (@list @t441))) % 34.31/34.57 (step @p1094 :rule refl :args (@t642)) % 34.31/34.57 (step @p1095 :rule bool-double-not-elim :args (@t639)) % 34.31/34.57 (step @p1096 :rule nary_cong :premises (@p492 @p1095 @p1094) :args ((or @t460 (not @t640) @t642))) % 34.31/34.57 (assume-push @p1331 @t376) % 34.31/34.57 (assume-push @p1332 @t640) % 34.31/34.57 (assume-push @p1333 @t640) % 34.31/34.57 (assume-push @p1334 @t376) % 34.31/34.57 (step @p1101 :rule false_intro :premises (@p1332)) % 34.31/34.57 (step @p1102 :rule refl :args (@t637)) % 34.31/34.57 (step @p1103 :rule symm :premises (@p1331)) % 34.31/34.57 (step @p1104 :rule cong :premises (@p1103 @p1102) :args (@t641)) % 34.31/34.57 (step @p1105 :rule trans :premises (@p1104 @p1101)) % 34.31/34.57 (step @p1106 :rule false_elim :premises (@p1105)) % 34.31/34.57 (step-pop @p1335 :rule scope :premises (@p1106)) % 34.31/34.57 (step-pop @p1336 :rule scope :premises (@p1335)) % 34.31/34.57 (step @p1107 :rule process_scope :premises (@p1336) :args (@t642)) % 34.31/34.57 (step @p1110 :rule and_intro :premises (@p1332 @p1331)) % 34.31/34.57 (step @p1111 :rule modus_ponens :premises (@p1110 @p1107)) % 34.31/34.57 (step-pop @p1337 :rule scope :premises (@p1111)) % 34.31/34.57 (step-pop @p1338 :rule scope :premises (@p1337)) % 34.31/34.57 (step @p1112 :rule process_scope :premises (@p1338) :args (@t642)) % 34.31/34.57 (step @p1115 :rule implies_elim :premises (@p1112)) % 34.31/34.57 (step @p1116 :rule cnf_and_neg :args (@t643)) % 34.31/34.57 (step @p1117 :rule resolution :premises (@p1116 @p1115) :args (true @t643)) % 34.31/34.57 (step @p1118 :rule eq_resolve :premises (@p1117 @p1096)) % 34.31/34.57 (step @p1119 :rule reordering :premises (@p1118) :args ((or @t460 @t642 @t639))) % 34.31/34.57 (step @p1120 :rule chain_m_resolution :premises (@p1119 @p347 @p1093) :args (@t642 (@list false true) (@list @t376 @t639))) % 34.31/34.57 (step @p1121 :rule bool-double-not-elim :args (@t641)) % 34.31/34.57 (step @p1122 :rule refl :args (@t647)) % 34.31/34.57 (step @p1123 :rule nary_cong :premises (@p1122 @p1121) :args ((or @t647 (not @t642)))) % 34.31/34.57 (step @p1124 :rule cnf_or_neg :args (@t647 0)) % 34.31/34.57 (step @p1125 :rule eq_resolve :premises (@p1124 @p1123)) % 34.31/34.57 (step @p1126 :rule reordering :premises (@p1125) :args ((or @t641 @t647))) % 34.31/34.57 (step @p1127 :rule chain_m_resolution :premises (@p1126 @p1120) :args (@t647 @t293 (@list @t641))) % 34.31/34.57 (step @p1128 :rule refl :args (@t648)) % 34.31/34.57 (step @p1129 :rule bool-double-not-elim :args (@t631)) % 34.31/34.57 (step @p1130 :rule nary_cong :premises (@p1129 @p1128) :args ((or (not @t632) @t648))) % 34.31/34.57 (step @p1131 :rule refl :args (@t645)) % 34.31/34.57 (step @p1132 :rule eq-symm :args (@t646 @t320)) % 34.31/34.57 (step @p1133 :rule cong :premises (@p1132) :args (@t649)) % 34.31/34.57 (step @p1134 :rule eq-symm :args (@t637 @t321)) % 34.31/34.57 (step @p1135 :rule cong :premises (@p1134) :args (@t650)) % 34.31/34.57 (step @p1136 :rule nary_cong :premises (@p1135 @p1133 @p1131) :args (@t651)) % 34.31/34.57 (step @p1137 :rule cong :premises (@p1136) :args (@t652)) % 34.31/34.57 (step @p1138 :rule refl :args (@t632)) % 34.31/34.57 (step @p1139 :rule cong :premises (@p1138 @p1137) :args ((=> @t632 @t652))) % 34.31/34.57 (assume-push @p1339 @t632) % 34.31/34.57 (step @p1141 :rule skolemize :premises (@p1339)) % 34.31/34.57 (step-pop @p1340 :rule scope :premises (@p1141)) % 34.31/34.57 (step @p1142 :rule process_scope :premises (@p1340) :args (@t652)) % 34.31/34.57 (step @p1144 :rule eq_resolve :premises (@p1142 @p1139)) % 34.31/34.57 (step @p1145 :rule implies_elim :premises (@p1144)) % 34.31/34.57 (step @p1146 :rule eq_resolve :premises (@p1145 @p1130)) % 34.31/34.57 (step @p1147 :rule chain_m_resolution :premises (@p1146 @p1127) :args (@t631 @t280 (@list @t647))) % 34.31/34.57 (step @p1148 :rule cnf_or_pos :args (@t633)) % 34.31/34.57 (step @p1149 :rule reordering :premises (@p1148) :args ((or @t323 @t607 @t632 @t613 (not @t633)))) % 34.31/34.57 (step @p1150 :rule chain_m_resolution :premises (@p1149 @p1147 @p1082 @p271 @p1054 @p1036 @p1018 @p1012 @p1006 @p983 @p347 @p964 @p939 @p347) :args (@t203 (@list false false false false false false false true true false true true false) (@list @t631 @t633 @t322 @t592 @t577 @t605 @t601 @t597 @t596 @t376 @t581 @t580 @t376))) % 34.31/34.57 (step @p1151 :rule quant-miniscope-or :args ((= (forall @t207 @t655) (or @t202 @t565 @t654)))) % 34.31/34.57 (step @p1152 :rule aci_norm :args ((= @t656 @t655))) % 34.31/34.57 (step @p1153 :rule cong :premises (@p1152) :args ((forall @t207 @t656))) % 34.31/34.57 (step @p1154 :rule trans :premises (@p1153 @p1151)) % 34.31/34.57 (step @p1155 :rule aci_norm :args ((= (or (or @t653 @t202) @t565) @t656))) % 34.31/34.57 (step @p1156 :rule refl :args (@t565)) % 34.31/34.57 (step @p1157 :rule bool-double-not-elim :args (@t202)) % 34.31/34.57 (step @p1158 :rule refl :args (@t653)) % 34.31/34.57 (step @p1159 :rule nary_cong :premises (@p1158 @p1157) :args ((or @t653 (not @t203)))) % 34.31/34.57 (step @p1160 :rule bool-and-de-morgan :args (@t204 @t203 true)) % 34.31/34.57 (step @p1161 :rule trans :premises (@p1160 @p1159)) % 34.31/34.57 (step @p1162 :rule nary_cong :premises (@p1161 @p1156) :args ((or (not @t205) @t565))) % 34.31/34.57 (step @p1163 :rule trans :premises (@p1162 @p1155)) % 34.31/34.57 (step @p1164 :rule bool-impl-elim :args (@t205 @t565)) % 34.31/34.57 (step @p1165 :rule trans :premises (@p1164 @p1163)) % 34.31/34.57 (step @p1166 :rule cong :premises (@p1165) :args ((forall @t207 (=> @t205 @t565)))) % 34.31/34.57 (step @p1167 :rule trans :premises (@p1166 @p1154)) % 34.31/34.57 (step @p1168 :rule exists-elim :args ((= @t201 @t565))) % 34.31/34.57 (step @p1169 :rule refl :args (@t205)) % 34.31/34.57 (step @p1170 :rule cong :premises (@p1169 @p1168) :args (@t206)) % 34.31/34.57 (step @p1171 :rule cong :premises (@p1170) :args (@t208)) % 34.31/34.57 (step @p1172 :rule trans :premises (@p1171 @p1167)) % 34.31/34.57 (step @p1173 :rule eq_resolve :premises (@p57 @p1172)) % 34.31/34.57 (step @p1174 :rule chain_m_resolution :premises (@p1173 @p1150 @p917) :args (@t654 @t564 (@list @t202 @t391))) % 34.31/34.57 (assume-push @p1341 @t654) % 34.31/34.57 (step @p1176 :rule instantiate :premises (@p1341) :args ((@list @t320))) % 34.31/34.57 (step-pop @p1342 :rule scope :premises (@p1176)) % 34.31/34.57 (step @p1177 :rule process_scope :premises (@p1342) :args (@t658)) % 34.31/34.57 (step @p1179 :rule implies_elim :premises (@p1177)) % 34.31/34.57 (step @p1180 :rule chain_m_resolution :premises (@p1179 @p1174) :args (@t658 @t280 (@list @t654))) % 34.31/34.57 (step @p1181 :rule bool-double-not-elim :args (@t657)) % 34.31/34.57 (step @p1182 :rule nary_cong :premises (@p250 @p492 @p1181) :args ((or @t323 @t460 (not @t658)))) % 34.31/34.57 (assume-push @p1343 @t658) % 34.31/34.57 (assume-push @p1344 @t376) % 34.31/34.57 (assume-push @p1345 @t322) % 34.31/34.57 (step @p768 :rule evaluate :args (@t540)) % 34.31/34.57 (step @p1186 :rule false_intro :premises (@p1343)) % 34.31/34.57 (step @p1187 :rule refl :args (@t320)) % 34.31/34.57 (step @p1188 :rule symm :premises (@p1344)) % 34.31/34.57 (step @p772 :rule refl :args (tptp.vempty)) % 34.31/34.57 (step @p1189 :rule cong :premises (@p772 @p1188 @p1187) :args (@t322)) % 34.31/34.57 (step @p1190 :rule true_intro :premises (@p1345)) % 34.31/34.57 (step @p1191 :rule symm :premises (@p1190)) % 34.31/34.57 (step @p1192 :rule trans :premises (@p1191 @p1189 @p1186)) % 34.31/34.57 (step @p1193 false :rule eq_resolve :premises (@p1192 @p768)) % 34.31/34.57 (step-pop @p1346 :rule scope :premises (@p1193)) % 34.31/34.57 (step-pop @p1347 :rule scope :premises (@p1346)) % 34.31/34.57 (step-pop @p1348 :rule scope :premises (@p1347)) % 34.31/34.57 (step @p1194 :rule process_scope :premises (@p1348) :args (false)) % 34.31/34.57 (assume-push @p1349 @t322) % 34.31/34.57 (assume-push @p1350 @t376) % 34.31/34.57 (assume-push @p1351 @t658) % 34.31/34.57 (step @p1201 :rule and_intro :premises (@p1351 @p1350 @p1349)) % 34.31/34.57 (step-pop @p1352 :rule scope :premises (@p1201)) % 34.31/34.57 (step-pop @p1353 :rule scope :premises (@p1352)) % 34.31/34.57 (step-pop @p1354 :rule scope :premises (@p1353)) % 34.31/34.57 (step @p1202 :rule process_scope :premises (@p1354) :args (@t659)) % 34.31/34.57 (step @p1206 :rule implies_elim :premises (@p1202)) % 34.31/34.57 (step @p1207 :rule resolution :premises (@p1206 @p1194) :args (true @t659)) % 34.31/34.57 (step @p1208 :rule not_and :premises (@p1207)) % 34.31/34.57 (step @p1209 :rule eq_resolve :premises (@p1208 @p1182)) % 34.31/34.57 (step @p1210 false :rule chain_m_resolution :premises (@p1209 @p1180 @p347 @p271) :args (false (@list true false false) (@list @t657 @t376 @t322))) % 34.31/34.57 ) % 34.31/34.57 % SZS output end Proof % 34.31/34.57 % cvc5 exiting %------------------------------------------------------------------------------