%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COM137+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 : n001.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 08:10:34 AM UTC 2026 % Result : Theorem 1.52s 1.79s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COM137+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 % 0.18/0.35 % Computer : n001.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Mon Jun 1 20:31:20 EDT 2026 % 0.18/0.35 % CPUTime : % 0.29/0.52 %----Proving TF0_NAR, FOF, or CNF % 1.52/1.79 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.52/1.79 % SZS status Theorem % 1.52/1.79 % SZS output start Proof % 1.52/1.79 ( % 1.52/1.79 (declare-sort $$unsorted 0) % 1.52/1.79 (declare-const tptp.varrow (-> $$unsorted $$unsorted $$unsorted)) % 1.52/1.79 (declare-const tptp.vgetSomeExp (-> $$unsorted $$unsorted)) % 1.52/1.79 (declare-const tptp.ve2app $$unsorted) % 1.52/1.79 (declare-const tptp.vsomeExp (-> $$unsorted $$unsorted)) % 1.52/1.79 (declare-const tptp.vnoExp $$unsorted) % 1.52/1.79 (declare-const tptp.vsubst (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.52/1.79 (declare-const tptp.vgensym (-> $$unsorted $$unsorted)) % 1.52/1.79 (declare-const tptp.vapp (-> $$unsorted $$unsorted $$unsorted)) % 1.52/1.79 (declare-const tptp.visValue (-> $$unsorted Bool)) % 1.52/1.79 (declare-const tptp.vempty $$unsorted) % 1.52/1.79 (declare-const tptp.vbind (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.52/1.79 (declare-const tptp.vnoType $$unsorted) % 1.52/1.79 (declare-const tptp.visFreeVar (-> $$unsorted $$unsorted Bool)) % 1.52/1.79 (declare-const tptp.vtcheck (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.52/1.79 (declare-const tptp.vsomeType (-> $$unsorted $$unsorted)) % 1.52/1.79 (declare-const tptp.visSomeExp (-> $$unsorted Bool)) % 1.52/1.79 (declare-const tptp.vvar (-> $$unsorted $$unsorted)) % 1.52/1.79 (declare-const tptp.vlookup (-> $$unsorted $$unsorted $$unsorted)) % 1.52/1.79 (declare-const tptp.ve1app $$unsorted) % 1.52/1.79 (declare-const tptp.vabs (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.52/1.79 (declare-const tptp.visSomeType (-> $$unsorted Bool)) % 1.52/1.79 (declare-const tptp.vreduce (-> $$unsorted $$unsorted)) % 1.52/1.79 (declare-const tptp.vgetSomeType (-> $$unsorted $$unsorted)) % 1.52/1.79 (define @t1 () (@var "VVar1" $$unsorted)) % 1.52/1.79 (define @t2 () (@var "VVar0" $$unsorted)) % 1.52/1.79 (define @t3 () (tptp.vvar @t2)) % 1.52/1.79 (define @t4 () (= @t3 (tptp.vvar @t1))) % 1.52/1.79 (define @t5 () (= @t2 @t1)) % 1.52/1.79 (define @t6 () (@var "VExp1" $$unsorted)) % 1.52/1.79 (define @t7 () (@var "VTyp1" $$unsorted)) % 1.52/1.79 (define @t8 () (@var "VExp0" $$unsorted)) % 1.52/1.79 (define @t9 () (@var "VTyp0" $$unsorted)) % 1.52/1.79 (define @t10 () (tptp.vabs @t2 @t9 @t8)) % 1.52/1.79 (define @t11 () (= @t10 (tptp.vabs @t1 @t7 @t6))) % 1.52/1.79 (define @t12 () (= @t8 @t6)) % 1.52/1.79 (define @t13 () (= @t9 @t7)) % 1.52/1.79 (define @t14 () (and @t5 @t13 @t12)) % 1.52/1.79 (define @t15 () (@var "VExp3" $$unsorted)) % 1.52/1.79 (define @t16 () (@var "VExp2" $$unsorted)) % 1.52/1.79 (define @t17 () (tptp.vapp @t8 @t6)) % 1.52/1.79 (define @t18 () (= @t17 (tptp.vapp @t16 @t15))) % 1.52/1.79 (define @t19 () (= @t6 @t15)) % 1.52/1.79 (define @t20 () (= @t8 @t16)) % 1.52/1.79 (define @t21 () (and @t20 @t19)) % 1.52/1.79 (define @t22 () (and (=> @t18 @t21) (=> @t21 @t18))) % 1.52/1.79 (define @t23 () (@list @t8 @t6 @t16 @t15)) % 1.52/1.79 (define @t24 () (forall @t23 @t22)) % 1.52/1.79 (define @t25 () (forall (@list @t2 @t8 @t6) (not (= @t3 @t17)))) % 1.52/1.79 (define @t26 () (tptp.visValue @t8)) % 1.52/1.79 (define @t27 () (@var "Ve" $$unsorted)) % 1.52/1.79 (define @t28 () (@var "VS" $$unsorted)) % 1.52/1.79 (define @t29 () (@var "Vx" $$unsorted)) % 1.52/1.79 (define @t30 () (tptp.vabs @t29 @t28 @t27)) % 1.52/1.79 (define @t31 () (= @t8 @t30)) % 1.52/1.79 (define @t32 () (@list @t29 @t28 @t27 @t8)) % 1.52/1.79 (define @t33 () (forall @t32 (=> @t31 @t26))) % 1.52/1.79 (define @t34 () (not @t26)) % 1.52/1.79 (define @t35 () (tptp.vvar @t29)) % 1.52/1.79 (define @t36 () (= @t8 @t35)) % 1.52/1.79 (define @t37 () (@var "Ve2" $$unsorted)) % 1.52/1.79 (define @t38 () (@var "Ve1" $$unsorted)) % 1.52/1.79 (define @t39 () (tptp.vapp @t38 @t37)) % 1.52/1.79 (define @t40 () (= @t8 @t39)) % 1.52/1.79 (define @t41 () (@list @t38 @t37 @t8)) % 1.52/1.79 (define @t42 () (forall @t41 (=> @t40 @t34))) % 1.52/1.79 (define @t43 () (@var "Vv" $$unsorted)) % 1.52/1.79 (define @t44 () (= @t29 @t43)) % 1.52/1.79 (define @t45 () (tptp.visFreeVar @t2 @t8)) % 1.52/1.79 (define @t46 () (= @t2 @t43)) % 1.52/1.79 (define @t47 () (tptp.visFreeVar @t43 @t27)) % 1.52/1.79 (define @t48 () (and (not @t44) @t47)) % 1.52/1.79 (define @t49 () (@var "VT" $$unsorted)) % 1.52/1.79 (define @t50 () (tptp.visFreeVar @t43 @t37)) % 1.52/1.79 (define @t51 () (tptp.visFreeVar @t43 @t38)) % 1.52/1.79 (define @t52 () (or @t51 @t50)) % 1.52/1.79 (define @t53 () (and (=> @t52 @t45) (=> @t45 @t52))) % 1.52/1.79 (define @t54 () (and @t46 @t40)) % 1.52/1.79 (define @t55 () (@list @t2 @t8 @t38 @t43 @t37)) % 1.52/1.79 (define @t56 () (forall @t55 (=> @t54 @t53))) % 1.52/1.79 (define @t57 () (= tptp.vempty tptp.vempty)) % 1.52/1.79 (define @t58 () (@var "VCtx1" $$unsorted)) % 1.52/1.79 (define @t59 () (@var "VCtx0" $$unsorted)) % 1.52/1.79 (define @t60 () (tptp.vbind @t2 @t9 @t59)) % 1.52/1.79 (define @t61 () (= @t60 (tptp.vbind @t1 @t7 @t58))) % 1.52/1.79 (define @t62 () (and @t5 @t13 (= @t59 @t58))) % 1.52/1.79 (define @t63 () (= tptp.vnoType tptp.vnoType)) % 1.52/1.79 (define @t64 () (tptp.vsomeType @t9)) % 1.52/1.79 (define @t65 () (= @t64 (tptp.vsomeType @t7))) % 1.52/1.79 (define @t66 () (@var "VOptTyp0" $$unsorted)) % 1.52/1.79 (define @t67 () (tptp.visSomeType @t66)) % 1.52/1.79 (define @t68 () (= @t66 (tptp.vsomeType @t27))) % 1.52/1.79 (define @t69 () (@var "RESULT" $$unsorted)) % 1.52/1.79 (define @t70 () (= @t69 @t27)) % 1.52/1.79 (define @t71 () (= @t69 tptp.vnoType)) % 1.52/1.79 (define @t72 () (tptp.vlookup @t2 @t59)) % 1.52/1.79 (define @t73 () (= @t69 @t72)) % 1.52/1.79 (define @t74 () (= @t59 tptp.vempty)) % 1.52/1.79 (define @t75 () (= @t2 @t29)) % 1.52/1.79 (define @t76 () (@var "VTy" $$unsorted)) % 1.52/1.79 (define @t77 () (= @t69 (tptp.vsomeType @t76))) % 1.52/1.79 (define @t78 () (@var "Vy" $$unsorted)) % 1.52/1.79 (define @t79 () (= @t29 @t78)) % 1.52/1.79 (define @t80 () (@var "VC" $$unsorted)) % 1.52/1.79 (define @t81 () (tptp.vbind @t78 @t76 @t80)) % 1.52/1.79 (define @t82 () (= @t59 @t81)) % 1.52/1.79 (define @t83 () (and @t75 @t82)) % 1.52/1.79 (define @t84 () (tptp.vlookup @t29 @t80)) % 1.52/1.79 (define @t85 () (= @t69 @t84)) % 1.52/1.79 (define @t86 () (not @t79)) % 1.52/1.79 (define @t87 () (@list @t29)) % 1.52/1.79 (define @t88 () (@var "VTx" $$unsorted)) % 1.52/1.79 (define @t89 () (tptp.vbind @t29 @t88 @t80)) % 1.52/1.79 (define @t90 () (tptp.vtcheck (tptp.vbind @t29 @t88 @t81) @t27 @t49)) % 1.52/1.79 (define @t91 () (@list @t78 @t76 @t29 @t88 @t80 @t27 @t49)) % 1.52/1.79 (define @t92 () (tptp.vsubst @t2 @t8 @t6)) % 1.52/1.79 (define @t93 () (= @t69 @t92)) % 1.52/1.79 (define @t94 () (tptp.vvar @t78)) % 1.52/1.79 (define @t95 () (= @t6 @t94)) % 1.52/1.79 (define @t96 () (= @t8 @t27)) % 1.52/1.79 (define @t97 () (and @t75 @t96 @t95)) % 1.52/1.79 (define @t98 () (= @t69 @t94)) % 1.52/1.79 (define @t99 () (tptp.vsubst @t29 @t27 @t38)) % 1.52/1.79 (define @t100 () (= @t69 (tptp.vapp @t99 (tptp.vsubst @t29 @t27 @t37)))) % 1.52/1.79 (define @t101 () (= @t6 @t39)) % 1.52/1.79 (define @t102 () (tptp.vabs @t78 @t49 @t38)) % 1.52/1.79 (define @t103 () (= @t69 @t102)) % 1.52/1.79 (define @t104 () (= @t6 @t102)) % 1.52/1.79 (define @t105 () (and @t75 @t96 @t104)) % 1.52/1.79 (define @t106 () (@var "Vfresh" $$unsorted)) % 1.52/1.79 (define @t107 () (= @t69 (tptp.vsubst @t29 @t27 (tptp.vabs @t106 @t49 (tptp.vsubst @t78 (tptp.vvar @t106) @t38))))) % 1.52/1.79 (define @t108 () (= @t106 (tptp.vgensym (tptp.vapp (tptp.vapp @t27 @t38) @t35)))) % 1.52/1.79 (define @t109 () (tptp.visFreeVar @t78 @t27)) % 1.52/1.79 (define @t110 () (= @t69 (tptp.vabs @t78 @t49 @t99))) % 1.52/1.79 (define @t111 () (not @t109)) % 1.52/1.79 (define @t112 () (= tptp.vnoExp tptp.vnoExp)) % 1.52/1.79 (define @t113 () (tptp.vsomeExp @t8)) % 1.52/1.79 (define @t114 () (= @t113 (tptp.vsomeExp @t6))) % 1.52/1.79 (define @t115 () (@list @t8)) % 1.52/1.79 (define @t116 () (@var "VOptExp0" $$unsorted)) % 1.52/1.79 (define @t117 () (tptp.visSomeExp @t116)) % 1.52/1.79 (define @t118 () (= @t116 (tptp.vsomeExp @t27))) % 1.52/1.79 (define @t119 () (= @t69 tptp.vnoExp)) % 1.52/1.79 (define @t120 () (tptp.vreduce @t8)) % 1.52/1.79 (define @t121 () (= @t69 @t120)) % 1.52/1.79 (define @t122 () (=> @t121 @t119)) % 1.52/1.79 (define @t123 () (@var "Ve2red" $$unsorted)) % 1.52/1.79 (define @t124 () (tptp.vabs @t29 @t28 @t38)) % 1.52/1.79 (define @t125 () (= @t69 (tptp.vsomeExp (tptp.vapp @t124 (tptp.vgetSomeExp @t123))))) % 1.52/1.79 (define @t126 () (tptp.visSomeExp @t123)) % 1.52/1.79 (define @t127 () (= @t123 (tptp.vreduce @t37))) % 1.52/1.79 (define @t128 () (= @t8 (tptp.vapp @t124 @t37))) % 1.52/1.79 (define @t129 () (= @t69 (tptp.vsomeExp (tptp.vsubst @t29 @t37 @t38)))) % 1.52/1.79 (define @t130 () (tptp.visValue @t37)) % 1.52/1.79 (define @t131 () (not @t126)) % 1.52/1.79 (define @t132 () (not @t130)) % 1.52/1.79 (define @t133 () (@var "Ve1red" $$unsorted)) % 1.52/1.79 (define @t134 () (= @t69 (tptp.vsomeExp (tptp.vapp (tptp.vgetSomeExp @t133) @t37)))) % 1.52/1.79 (define @t135 () (tptp.visSomeExp @t133)) % 1.52/1.79 (define @t136 () (= @t133 (tptp.vreduce @t38))) % 1.52/1.79 (define @t137 () (@var "VVe10" $$unsorted)) % 1.52/1.79 (define @t138 () (@var "VVS0" $$unsorted)) % 1.52/1.79 (define @t139 () (@var "VVx0" $$unsorted)) % 1.52/1.79 (define @t140 () (forall (@list @t139 @t138 @t137) (not (= @t38 (tptp.vabs @t139 @t138 @t137))))) % 1.52/1.79 (define @t141 () (and @t40 @t140)) % 1.52/1.79 (define @t142 () (not @t135)) % 1.52/1.79 (define @t143 () (@list @t29 @t28 @t27)) % 1.52/1.79 (define @t144 () (@var "VTyp3" $$unsorted)) % 1.52/1.79 (define @t145 () (@var "VTyp2" $$unsorted)) % 1.52/1.79 (define @t146 () (= (tptp.varrow @t9 @t7) (tptp.varrow @t145 @t144))) % 1.52/1.79 (define @t147 () (and (= @t9 @t145) (= @t7 @t144))) % 1.52/1.79 (define @t148 () (= @t84 (tptp.vsomeType @t49))) % 1.52/1.79 (define @t149 () (tptp.varrow @t28 @t49)) % 1.52/1.79 (define @t150 () (tptp.vbind @t29 @t28 @t80)) % 1.52/1.79 (define @t151 () (tptp.vtcheck @t150 @t27 @t49)) % 1.52/1.79 (define @t152 () (tptp.vtcheck @t80 @t39 @t49)) % 1.52/1.79 (define @t153 () (tptp.vtcheck @t80 @t37 @t28)) % 1.52/1.79 (define @t154 () (tptp.vtcheck @t80 @t38 @t149)) % 1.52/1.79 (define @t155 () (and @t154 @t153)) % 1.52/1.79 (define @t156 () (@list @t28 @t80 @t38 @t37 @t49)) % 1.52/1.79 (define @t157 () (forall @t156 (=> @t155 @t152))) % 1.52/1.79 (define @t158 () (= @t27 @t39)) % 1.52/1.79 (define @t159 () (and @t158 @t154 @t153)) % 1.52/1.79 (define @t160 () (@list @t38 @t37 @t28)) % 1.52/1.79 (define @t161 () (exists @t160 @t159)) % 1.52/1.79 (define @t162 () (@var "VT2" $$unsorted)) % 1.52/1.79 (define @t163 () (@var "VT1" $$unsorted)) % 1.52/1.79 (define @t164 () (tptp.vtcheck (tptp.vbind @t29 @t163 @t80) @t37 @t162)) % 1.52/1.79 (define @t165 () (tptp.varrow @t163 @t162)) % 1.52/1.79 (define @t166 () (= @t49 @t165)) % 1.52/1.79 (define @t167 () (tptp.vabs @t29 @t163 @t37)) % 1.52/1.79 (define @t168 () (= @t27 @t167)) % 1.52/1.79 (define @t169 () (and @t168 @t166 @t164)) % 1.52/1.79 (define @t170 () (@list @t29 @t37 @t163 @t162)) % 1.52/1.79 (define @t171 () (exists @t170 @t169)) % 1.52/1.79 (define @t172 () (= @t27 @t35)) % 1.52/1.79 (define @t173 () (and @t172 @t148)) % 1.52/1.79 (define @t174 () (exists @t87 @t173)) % 1.52/1.79 (define @t175 () (or @t174 @t171 @t161)) % 1.52/1.79 (define @t176 () (tptp.vtcheck @t80 @t27 @t49)) % 1.52/1.79 (define @t177 () (=> @t176 @t175)) % 1.52/1.79 (define @t178 () (@list @t27 @t49 @t80)) % 1.52/1.79 (define @t179 () (forall @t178 @t177)) % 1.52/1.79 (define @t180 () (tptp.vtcheck @t80 tptp.ve1app @t49)) % 1.52/1.79 (define @t181 () (tptp.vtcheck @t150 tptp.ve1app @t49)) % 1.52/1.79 (define @t182 () (tptp.visFreeVar @t29 tptp.ve1app)) % 1.52/1.79 (define @t183 () (not @t182)) % 1.52/1.79 (define @t184 () (and @t183 @t181)) % 1.52/1.79 (define @t185 () (@list @t29 @t28 @t80 @t49)) % 1.52/1.79 (define @t186 () (forall @t185 (=> @t184 @t180))) % 1.52/1.79 (define @t187 () (tptp.vtcheck @t80 tptp.ve2app @t49)) % 1.52/1.79 (define @t188 () (tptp.vtcheck @t150 tptp.ve2app @t49)) % 1.52/1.79 (define @t189 () (tptp.visFreeVar @t29 tptp.ve2app)) % 1.52/1.79 (define @t190 () (not @t189)) % 1.52/1.79 (define @t191 () (and @t190 @t188)) % 1.52/1.79 (define @t192 () (forall @t185 (=> @t191 @t187))) % 1.52/1.79 (define @t193 () (tptp.vapp tptp.ve1app tptp.ve2app)) % 1.52/1.79 (define @t194 () (tptp.vtcheck @t80 @t193 @t49)) % 1.52/1.79 (define @t195 () (tptp.vtcheck @t150 @t193 @t49)) % 1.52/1.79 (define @t196 () (tptp.visFreeVar @t29 @t193)) % 1.52/1.79 (define @t197 () (not @t196)) % 1.52/1.79 (define @t198 () (and @t197 @t195)) % 1.52/1.79 (define @t199 () (forall @t185 (=> @t198 @t194))) % 1.52/1.79 (define @t200 () (not @t199)) % 1.52/1.79 (define @t201 () (not @t153)) % 1.52/1.79 (define @t202 () (not @t154)) % 1.52/1.79 (define @t203 () (or @t202 @t201 @t152)) % 1.52/1.79 (define @t204 () (or @t202 @t201)) % 1.52/1.79 (define @t205 () (not @t155)) % 1.52/1.79 (define @t206 () (not @t188)) % 1.52/1.79 (define @t207 () (not @t195)) % 1.52/1.79 (define @t208 () (or @t196 @t207 @t194)) % 1.52/1.79 (define @t209 () (forall @t185 @t208)) % 1.52/1.79 (define @t210 () (@quantifiers_skolemize @t209 2)) % 1.52/1.79 (define @t211 () (@quantifiers_skolemize @t209 1)) % 1.52/1.79 (define @t212 () (@quantifiers_skolemize @t209 0)) % 1.52/1.79 (define @t213 () (tptp.vbind @t212 @t211 @t210)) % 1.52/1.79 (define @t214 () (not (tptp.vtcheck @t213 @t37 @t28))) % 1.52/1.79 (define @t215 () (@quantifiers_skolemize @t209 3)) % 1.52/1.79 (define @t216 () (not (tptp.vtcheck @t213 @t38 (tptp.varrow @t28 @t215)))) % 1.52/1.79 (define @t217 () (forall @t160 (or (not (= @t39 @t193)) @t216 @t214))) % 1.52/1.79 (define @t218 () (@quantifiers_skolemize @t217 2)) % 1.52/1.79 (define @t219 () (@var "BOUND_VARIABLE_8112" $$unsorted)) % 1.52/1.79 (define @t220 () (@var "BOUND_VARIABLE_8108" $$unsorted)) % 1.52/1.79 (define @t221 () (@var "BOUND_VARIABLE_8110" $$unsorted)) % 1.52/1.79 (define @t222 () (@var "BOUND_VARIABLE_8106" $$unsorted)) % 1.52/1.79 (define @t223 () (forall (@list @t222 @t220 @t221 @t219) (or (not (= (tptp.vapp @t222 @t220) (tptp.vapp @t221 @t219))) (and (= @t222 @t221) (= @t220 @t219))))) % 1.52/1.79 (define @t224 () (@var "BOUND_VARIABLE_8130" $$unsorted)) % 1.52/1.79 (define @t225 () (@var "BOUND_VARIABLE_8128" $$unsorted)) % 1.52/1.79 (define @t226 () (@list @t225 @t224)) % 1.52/1.79 (define @t227 () (tptp.vapp @t225 @t224)) % 1.52/1.79 (define @t228 () (not (= @t224 @t224))) % 1.52/1.79 (define @t229 () (or @t228 (= @t227 @t227))) % 1.52/1.79 (define @t230 () (@var "BOUND_VARIABLE_8126" $$unsorted)) % 1.52/1.79 (define @t231 () (tptp.vapp @t225 @t230)) % 1.52/1.79 (define @t232 () (= @t227 @t231)) % 1.52/1.79 (define @t233 () (not (= @t230 @t224))) % 1.52/1.79 (define @t234 () (or @t233 @t233 @t232)) % 1.52/1.79 (define @t235 () (@list @t230)) % 1.52/1.79 (define @t236 () (or @t233 @t232)) % 1.52/1.79 (define @t237 () (forall @t235 @t236)) % 1.52/1.79 (define @t238 () (forall @t226 @t237)) % 1.52/1.79 (define @t239 () (forall (@list @t225 @t224 @t230) @t236)) % 1.52/1.79 (define @t240 () (@list @t230 @t225 @t224)) % 1.52/1.79 (define @t241 () (not (= @t225 @t225))) % 1.52/1.79 (define @t242 () (or @t241 @t233 (= @t231 @t227))) % 1.52/1.79 (define @t243 () (@var "BOUND_VARIABLE_8124" $$unsorted)) % 1.52/1.79 (define @t244 () (= (tptp.vapp @t243 @t230) @t227)) % 1.52/1.79 (define @t245 () (not (= @t243 @t225))) % 1.52/1.79 (define @t246 () (or @t245 @t245 @t233 @t244)) % 1.52/1.79 (define @t247 () (@list @t243)) % 1.52/1.79 (define @t248 () (or @t245 @t233 @t244)) % 1.52/1.79 (define @t249 () (forall @t247 @t248)) % 1.52/1.79 (define @t250 () (forall @t240 @t249)) % 1.52/1.79 (define @t251 () (forall (@list @t230 @t225 @t224 @t243) @t248)) % 1.52/1.79 (define @t252 () (forall (@list @t243 @t230 @t225 @t224) @t248)) % 1.52/1.79 (define @t253 () (not @t19)) % 1.52/1.79 (define @t254 () (not @t20)) % 1.52/1.79 (define @t255 () (or @t254 @t253 @t18)) % 1.52/1.79 (define @t256 () (forall @t23 @t255)) % 1.52/1.79 (define @t257 () (@list @t8 @t6 @t16 @t15)) % 1.52/1.79 (define @t258 () (or (not @t18) @t21)) % 1.52/1.79 (define @t259 () (forall @t23 @t258)) % 1.52/1.79 (define @t260 () (and @t259 @t256)) % 1.52/1.79 (define @t261 () (@quantifiers_skolemize @t217 1)) % 1.52/1.79 (define @t262 () (@quantifiers_skolemize @t217 0)) % 1.52/1.79 (define @t263 () (not @t158)) % 1.52/1.79 (define @t264 () (or @t263 @t202 @t201)) % 1.52/1.79 (define @t265 () (not (forall @t160 @t264))) % 1.52/1.79 (define @t266 () (not @t164)) % 1.52/1.79 (define @t267 () (not @t166)) % 1.52/1.79 (define @t268 () (not @t168)) % 1.52/1.79 (define @t269 () (or @t268 @t267 @t266)) % 1.52/1.79 (define @t270 () (not (forall @t170 @t269))) % 1.52/1.79 (define @t271 () (not (forall @t87 (or (not @t172) (not @t148))))) % 1.52/1.79 (define @t272 () (not @t176)) % 1.52/1.79 (define @t273 () (or @t272 @t271 @t270 @t265)) % 1.52/1.79 (define @t274 () (or @t271 @t270 @t265)) % 1.52/1.79 (define @t275 () (forall @t160 (not @t159))) % 1.52/1.79 (define @t276 () (not @t275)) % 1.52/1.79 (define @t277 () (forall @t170 (not @t169))) % 1.52/1.79 (define @t278 () (not @t277)) % 1.52/1.79 (define @t279 () (forall @t87 (not @t173))) % 1.52/1.79 (define @t280 () (not @t279)) % 1.52/1.79 (define @t281 () (not (= @t193 @t39))) % 1.52/1.79 (define @t282 () (or @t281 @t216 @t214)) % 1.52/1.79 (define @t283 () (forall @t160 @t282)) % 1.52/1.79 (define @t284 () (not @t283)) % 1.52/1.79 (define @t285 () (not (tptp.vtcheck (tptp.vbind @t29 @t163 @t213) @t37 @t162))) % 1.52/1.79 (define @t286 () (not (= @t215 @t165))) % 1.52/1.79 (define @t287 () (not (= @t193 @t167))) % 1.52/1.79 (define @t288 () (or @t287 @t286 @t285)) % 1.52/1.79 (define @t289 () (forall @t170 @t288)) % 1.52/1.79 (define @t290 () (not @t289)) % 1.52/1.79 (define @t291 () (tptp.vsomeType @t215)) % 1.52/1.79 (define @t292 () (not (= (tptp.vlookup @t29 @t213) @t291))) % 1.52/1.79 (define @t293 () (not (= @t193 @t35))) % 1.52/1.79 (define @t294 () (or @t293 @t292)) % 1.52/1.79 (define @t295 () (forall @t87 @t294)) % 1.52/1.79 (define @t296 () (not @t295)) % 1.52/1.79 (define @t297 () (tptp.vtcheck @t213 @t193 @t215)) % 1.52/1.79 (define @t298 () (not @t297)) % 1.52/1.79 (define @t299 () (or @t298 @t296 @t290 @t284)) % 1.52/1.79 (define @t300 () (forall @t178 @t273)) % 1.52/1.79 (define @t301 () (not @t217)) % 1.52/1.79 (define @t302 () (forall @t170 (or (not (= @t167 @t193)) (not (= @t165 @t215)) @t285))) % 1.52/1.79 (define @t303 () (not @t302)) % 1.52/1.79 (define @t304 () (forall @t87 (or (not (= @t35 @t193)) @t292))) % 1.52/1.79 (define @t305 () (not @t304)) % 1.52/1.79 (define @t306 () (or @t298 @t305 @t303 @t301)) % 1.52/1.79 (define @t307 () (@list false)) % 1.52/1.79 (define @t308 () (tptp.visValue @t30)) % 1.52/1.79 (define @t309 () (not (= @t30 @t30))) % 1.52/1.79 (define @t310 () (or @t309 @t308)) % 1.52/1.79 (define @t311 () (not @t31)) % 1.52/1.79 (define @t312 () (or @t311 @t311 @t26)) % 1.52/1.79 (define @t313 () (or @t311 @t26)) % 1.52/1.79 (define @t314 () (forall @t115 @t313)) % 1.52/1.79 (define @t315 () (forall @t143 @t314)) % 1.52/1.79 (define @t316 () (@quantifiers_skolemize @t302 1)) % 1.52/1.79 (define @t317 () (@quantifiers_skolemize @t302 2)) % 1.52/1.79 (define @t318 () (@quantifiers_skolemize @t302 0)) % 1.52/1.79 (define @t319 () (not (tptp.visValue @t39))) % 1.52/1.79 (define @t320 () (not (= @t39 @t39))) % 1.52/1.79 (define @t321 () (or @t320 @t319)) % 1.52/1.79 (define @t322 () (@list @t38 @t37)) % 1.52/1.79 (define @t323 () (not @t40)) % 1.52/1.79 (define @t324 () (or @t323 @t323 @t34)) % 1.52/1.79 (define @t325 () (or @t323 @t34)) % 1.52/1.79 (define @t326 () (forall @t115 @t325)) % 1.52/1.79 (define @t327 () (forall @t322 @t326)) % 1.52/1.79 (define @t328 () (tptp.vabs @t318 @t317 @t316)) % 1.52/1.79 (define @t329 () (tptp.visValue @t328)) % 1.52/1.79 (define @t330 () (not @t329)) % 1.52/1.79 (define @t331 () (= @t193 @t328)) % 1.52/1.79 (define @t332 () (not @t331)) % 1.52/1.79 (define @t333 () (tptp.visValue @t193)) % 1.52/1.79 (define @t334 () (not @t333)) % 1.52/1.79 (define @t335 () (@list true false)) % 1.52/1.79 (define @t336 () (@quantifiers_skolemize @t302 3)) % 1.52/1.79 (define @t337 () (not (tptp.vtcheck (tptp.vbind @t318 @t317 @t213) @t316 @t336))) % 1.52/1.79 (define @t338 () (tptp.varrow @t317 @t336)) % 1.52/1.79 (define @t339 () (or @t332 (not (= @t215 @t338)) @t337)) % 1.52/1.79 (define @t340 () (@list true)) % 1.52/1.79 (define @t341 () (not @t339)) % 1.52/1.79 (define @t342 () (not (= @t338 @t215))) % 1.52/1.79 (define @t343 () (not (= @t328 @t193))) % 1.52/1.79 (define @t344 () (or @t343 @t342 @t337)) % 1.52/1.79 (define @t345 () (not @t344)) % 1.52/1.79 (define @t346 () (@quantifiers_skolemize @t304 0)) % 1.52/1.79 (define @t347 () (tptp.vvar @t346)) % 1.52/1.79 (define @t348 () (not (= @t347 @t193))) % 1.52/1.79 (define @t349 () (= @t193 @t347)) % 1.52/1.79 (define @t350 () (not @t349)) % 1.52/1.79 (define @t351 () (tptp.vlookup @t346 @t213)) % 1.52/1.79 (define @t352 () (or @t350 (not (= @t291 @t351)))) % 1.52/1.79 (define @t353 () (not @t352)) % 1.52/1.79 (define @t354 () (not (= @t351 @t291))) % 1.52/1.79 (define @t355 () (or @t348 @t354)) % 1.52/1.79 (define @t356 () (not @t355)) % 1.52/1.79 (define @t357 () (tptp.vtcheck @t210 @t193 @t215)) % 1.52/1.79 (define @t358 () (tptp.visFreeVar @t212 @t193)) % 1.52/1.79 (define @t359 () (or @t358 @t298 @t357)) % 1.52/1.79 (define @t360 () (@list @t359)) % 1.52/1.79 (define @t361 () (tptp.vtcheck @t213 @t261 @t218)) % 1.52/1.79 (define @t362 () (not @t361)) % 1.52/1.79 (define @t363 () (tptp.varrow @t218 @t215)) % 1.52/1.79 (define @t364 () (tptp.vtcheck @t213 @t262 @t363)) % 1.52/1.79 (define @t365 () (not @t364)) % 1.52/1.79 (define @t366 () (tptp.vapp @t262 @t261)) % 1.52/1.79 (define @t367 () (= @t193 @t366)) % 1.52/1.79 (define @t368 () (not @t367)) % 1.52/1.79 (define @t369 () (or @t368 @t365 @t362)) % 1.52/1.79 (define @t370 () (not @t369)) % 1.52/1.79 (define @t371 () (not (= @t366 @t193))) % 1.52/1.79 (define @t372 () (or @t371 @t365 @t362)) % 1.52/1.79 (define @t373 () (not @t372)) % 1.52/1.79 (define @t374 () (@list @t369)) % 1.52/1.79 (define @t375 () (= tptp.ve2app @t261)) % 1.52/1.79 (define @t376 () (= tptp.ve1app @t262)) % 1.52/1.79 (define @t377 () (and @t376 @t375)) % 1.52/1.79 (define @t378 () (or @t368 @t377)) % 1.52/1.79 (define @t379 () (@list false false)) % 1.52/1.79 (define @t380 () (not @t377)) % 1.52/1.79 (define @t381 () (@list @t377)) % 1.52/1.79 (define @t382 () (tptp.vtcheck @t213 tptp.ve2app @t218)) % 1.52/1.79 (define @t383 () (and @t361 @t375)) % 1.52/1.79 (define @t384 () (tptp.visFreeVar @t43 @t39)) % 1.52/1.79 (define @t385 () (or (not @t384) @t51 @t50)) % 1.52/1.79 (define @t386 () (@list @t38 @t43 @t37)) % 1.52/1.79 (define @t387 () (forall @t386 @t385)) % 1.52/1.79 (define @t388 () (@list @t38 @t43 @t37)) % 1.52/1.79 (define @t389 () (and (not @t51) (not @t50))) % 1.52/1.79 (define @t390 () (or @t389 @t384)) % 1.52/1.79 (define @t391 () (forall @t386 @t390)) % 1.52/1.79 (define @t392 () (and @t391 @t387)) % 1.52/1.79 (define @t393 () (and @t390 @t385)) % 1.52/1.79 (define @t394 () (or @t320 @t393)) % 1.52/1.79 (define @t395 () (tptp.visFreeVar @t43 @t8)) % 1.52/1.79 (define @t396 () (and (or @t389 @t395) (or (not @t395) @t51 @t50))) % 1.52/1.79 (define @t397 () (or @t323 @t323 @t396)) % 1.52/1.79 (define @t398 () (or @t323 @t396)) % 1.52/1.79 (define @t399 () (forall @t115 @t398)) % 1.52/1.79 (define @t400 () (forall @t386 @t399)) % 1.52/1.79 (define @t401 () (forall (@list @t38 @t43 @t37 @t8) @t398)) % 1.52/1.79 (define @t402 () (@list @t8 @t38 @t43 @t37)) % 1.52/1.79 (define @t403 () (not (= @t43 @t43))) % 1.52/1.79 (define @t404 () (or @t403 @t323 @t396)) % 1.52/1.79 (define @t405 () (not @t45)) % 1.52/1.79 (define @t406 () (or @t405 @t51 @t50)) % 1.52/1.79 (define @t407 () (and (or @t389 @t45) @t406)) % 1.52/1.79 (define @t408 () (not @t46)) % 1.52/1.79 (define @t409 () (or @t408 @t408 @t323 @t407)) % 1.52/1.79 (define @t410 () (@list @t2)) % 1.52/1.79 (define @t411 () (or @t408 @t323 @t407)) % 1.52/1.79 (define @t412 () (forall @t410 @t411)) % 1.52/1.79 (define @t413 () (forall @t402 @t412)) % 1.52/1.79 (define @t414 () (forall (@list @t8 @t38 @t43 @t37 @t2) @t411)) % 1.52/1.79 (define @t415 () (tptp.visFreeVar @t212 tptp.ve2app)) % 1.52/1.79 (define @t416 () (not @t415)) % 1.52/1.79 (define @t417 () (tptp.visFreeVar @t212 tptp.ve1app)) % 1.52/1.79 (define @t418 () (not @t417)) % 1.52/1.79 (define @t419 () (and @t418 @t416)) % 1.52/1.79 (define @t420 () (or @t419 @t358)) % 1.52/1.79 (define @t421 () (not @t419)) % 1.52/1.79 (define @t422 () (@list @t419)) % 1.52/1.79 (define @t423 () (tptp.vtcheck @t210 tptp.ve2app @t218)) % 1.52/1.79 (define @t424 () (not @t382)) % 1.52/1.79 (define @t425 () (or @t415 @t424 @t423)) % 1.52/1.79 (define @t426 () (@list true false false)) % 1.52/1.79 (define @t427 () (not @t181)) % 1.52/1.79 (define @t428 () (tptp.vtcheck @t213 tptp.ve1app @t363)) % 1.52/1.79 (define @t429 () (and @t364 @t376)) % 1.52/1.79 (define @t430 () (tptp.vtcheck @t210 tptp.ve1app @t363)) % 1.52/1.79 (define @t431 () (not @t428)) % 1.52/1.79 (define @t432 () (or @t417 @t431 @t430)) % 1.52/1.79 (define @t433 () (not @t423)) % 1.52/1.79 (define @t434 () (not @t430)) % 1.52/1.79 (define @t435 () (or @t434 @t433 @t357)) % 1.52/1.79 (define @t436 () (not @t435)) % 1.52/1.79 (define @t437 () (forall @t156 @t203)) % 1.52/1.79 (assume @p1 (forall (@list @t2 @t1) (and (=> @t4 @t5) (=> @t5 @t4)))) % 1.52/1.79 (assume @p2 (forall (@list @t2 @t9 @t8 @t1 @t7 @t6) (and (=> @t11 @t14) (=> @t14 @t11)))) % 1.52/1.79 (assume @p3 @t24) % 1.52/1.79 (assume @p4 (forall (@list @t2 @t1 @t9 @t8) (not (= @t3 (tptp.vabs @t1 @t9 @t8))))) % 1.52/1.79 (assume @p5 @t25) % 1.52/1.79 (assume @p6 (forall (@list @t2 @t9 @t8 @t6 @t16) (not (= @t10 (tptp.vapp @t6 @t16))))) % 1.52/1.79 (assume @p7 @t33) % 1.52/1.79 (assume @p8 (forall (@list @t29 @t8) (=> @t36 @t34))) % 1.52/1.79 (assume @p9 @t42) % 1.52/1.79 (assume @p10 (forall (@list @t2 @t8 @t29 @t43) (=> (and @t46 @t36) (and (=> @t44 @t45) (=> @t45 @t44))))) % 1.52/1.79 (assume @p11 (forall (@list @t49 @t2 @t8 @t29 @t43 @t27) (=> (and @t46 (= @t8 (tptp.vabs @t29 @t49 @t27))) (and (=> @t48 @t45) (=> @t45 @t48))))) % 1.52/1.79 (assume @p12 @t56) % 1.52/1.79 (assume @p13 (and (=> @t57 true) (=> true @t57))) % 1.52/1.79 (assume @p14 (forall (@list @t2 @t9 @t59 @t1 @t7 @t58) (and (=> @t61 @t62) (=> @t62 @t61)))) % 1.52/1.79 (assume @p15 (and (=> @t63 true) (=> true @t63))) % 1.52/1.79 (assume @p16 (forall (@list @t9 @t7) (and (=> @t65 @t13) (=> @t13 @t65)))) % 1.52/1.79 (assume @p17 (forall (@list @t2 @t9 @t59) (not (= tptp.vempty @t60)))) % 1.52/1.79 (assume @p18 (forall (@list @t9) (not (= tptp.vnoType @t64)))) % 1.52/1.79 (assume @p19 (forall (@list @t66) (=> (= @t66 tptp.vnoType) (not @t67)))) % 1.52/1.79 (assume @p20 (forall (@list @t27 @t66) (=> @t68 @t67))) % 1.52/1.79 (assume @p21 (forall (@list @t66 @t69 @t27) (=> @t68 (=> (= @t69 (tptp.vgetSomeType @t66)) @t70)))) % 1.52/1.79 (assume @p22 (forall (@list @t29 @t2 @t59 @t69) (=> (and @t75 @t74) (=> @t73 @t71)))) % 1.52/1.79 (assume @p23 (forall (@list @t80 @t29 @t78 @t2 @t59 @t69 @t76) (=> @t83 (=> @t79 (=> @t73 @t77))))) % 1.52/1.79 (assume @p24 (forall (@list @t76 @t78 @t2 @t59 @t69 @t29 @t80) (=> @t83 (=> @t86 (=> @t73 @t85))))) % 1.52/1.79 (assume @p25 (forall (@list @t2 @t59 @t69) (=> (= @t72 @t69) (or (exists @t87 (and @t75 @t74 @t71)) (exists (@list @t80 @t29 @t78 @t76) (and @t75 @t82 @t79 @t77)) (exists (@list @t76 @t78 @t29 @t80) (and @t75 @t82 @t86 @t85)))))) % 1.52/1.79 (assume @p26 (forall @t91 (=> (and @t79 @t90) (tptp.vtcheck @t89 @t27 @t49)))) % 1.52/1.79 (assume @p27 (forall @t91 (=> (and @t86 @t90) (tptp.vtcheck (tptp.vbind @t78 @t76 @t89) @t27 @t49)))) % 1.52/1.79 (assume @p28 (forall (@list @t43 @t27) (=> (= (tptp.vgensym @t27) @t43) (not @t47)))) % 1.52/1.79 (assume @p29 (forall (@list @t29 @t78 @t2 @t8 @t6 @t69 @t27) (=> @t97 (=> @t79 (=> @t93 @t70))))) % 1.52/1.79 (assume @p30 (forall (@list @t27 @t29 @t2 @t8 @t6 @t69 @t78) (=> @t97 (=> @t86 (=> @t93 @t98))))) % 1.52/1.79 (assume @p31 (forall (@list @t2 @t8 @t6 @t69 @t38 @t29 @t27 @t37) (=> (and @t75 @t96 @t101) (=> @t93 @t100)))) % 1.52/1.79 (assume @p32 (forall (@list @t27 @t29 @t2 @t8 @t6 @t69 @t78 @t49 @t38) (=> @t105 (=> @t79 (=> @t93 @t103))))) % 1.52/1.79 (assume @p33 (forall (@list @t2 @t8 @t6 @t69 @t29 @t27 @t49 @t78 @t106 @t38) (=> @t105 (=> (and @t86 @t109 @t108) (=> @t93 @t107))))) % 1.52/1.79 (assume @p34 (forall (@list @t2 @t8 @t6 @t69 @t78 @t49 @t29 @t27 @t38) (=> @t105 (=> (and @t86 @t111) (=> @t93 @t110))))) % 1.52/1.79 (assume @p35 (forall (@list @t2 @t8 @t6 @t69) (=> (= @t92 @t69) (or (exists (@list @t29 @t78 @t27) (and @t75 @t96 @t95 @t79 @t70)) (exists (@list @t27 @t29 @t78) (and @t75 @t96 @t95 @t86 @t98)) (exists (@list @t38 @t29 @t27 @t37) (and @t75 @t96 @t101 @t100)) (exists (@list @t27 @t29 @t78 @t49 @t38) (and @t75 @t96 @t104 @t79 @t103)) (exists (@list @t29 @t27 @t49 @t78 @t106 @t38) (and @t75 @t96 @t104 @t86 @t109 @t108 @t107)) (exists (@list @t78 @t49 @t29 @t27 @t38) (and @t75 @t96 @t104 @t86 @t111 @t110)))))) % 1.52/1.79 (assume @p36 (and (=> @t112 true) (=> true @t112))) % 1.52/1.79 (assume @p37 (forall (@list @t8 @t6) (and (=> @t114 @t12) (=> @t12 @t114)))) % 1.52/1.79 (assume @p38 (forall @t115 (not (= tptp.vnoExp @t113)))) % 1.52/1.79 (assume @p39 (forall (@list @t116) (=> (= @t116 tptp.vnoExp) (not @t117)))) % 1.52/1.79 (assume @p40 (forall (@list @t27 @t116) (=> @t118 @t117))) % 1.52/1.79 (assume @p41 (forall (@list @t116 @t69 @t27) (=> @t118 (=> (= @t69 (tptp.vgetSomeExp @t116)) @t70)))) % 1.52/1.79 (assume @p42 (forall (@list @t29 @t8 @t69) (=> @t36 @t122))) % 1.52/1.79 (assume @p43 (forall (@list @t29 @t28 @t27 @t8 @t69) (=> @t31 @t122))) % 1.52/1.79 (assume @p44 (forall (@list @t37 @t8 @t69 @t29 @t28 @t38 @t123) (=> @t128 (=> (and @t127 @t126) (=> @t121 @t125))))) % 1.52/1.79 (assume @p45 (forall (@list @t28 @t123 @t8 @t69 @t29 @t37 @t38) (=> @t128 (=> (and @t127 @t131 @t130) (=> @t121 @t129))))) % 1.52/1.79 (assume @p46 (forall (@list @t29 @t28 @t38 @t123 @t37 @t8 @t69) (=> @t128 (=> (and @t127 @t131 @t132) @t122)))) % 1.52/1.79 (assume @p47 (forall (@list @t38 @t8 @t69 @t133 @t37) (=> @t141 (=> (and @t136 @t135) (=> @t121 @t134))))) % 1.52/1.79 (assume @p48 (forall (@list @t37 @t38 @t133 @t8 @t69) (=> @t141 (=> (and @t136 @t142) @t122)))) % 1.52/1.79 (assume @p49 (forall (@list @t8 @t69) (=> (= @t120 @t69) (or (exists @t87 (and @t36 @t119)) (exists @t143 (and @t31 @t119)) (exists (@list @t37 @t29 @t28 @t38 @t123) (and @t128 @t127 @t126 @t125)) (exists (@list @t28 @t123 @t29 @t37 @t38) (and @t128 @t127 @t131 @t130 @t129)) (exists (@list @t29 @t28 @t38 @t123 @t37) (and @t128 @t127 @t131 @t132 @t119)) (exists (@list @t38 @t133 @t37) (and @t40 @t140 @t136 @t135 @t134)) (exists (@list @t37 @t38 @t133) (and @t40 @t140 @t136 @t142 @t119)))))) % 1.52/1.79 (assume @p50 (forall (@list @t9 @t7 @t145 @t144) (and (=> @t146 @t147) (=> @t147 @t146)))) % 1.52/1.79 (assume @p51 (forall (@list @t80 @t29 @t49) (=> @t148 (tptp.vtcheck @t80 @t35 @t49)))) % 1.52/1.79 (assume @p52 (forall 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(step @p184 :rule refl :args (@t216)) % 1.52/1.79 (step @p185 :rule eq-symm :args (@t193 @t39)) % 1.52/1.79 (step @p186 :rule cong :premises (@p185) :args (@t281)) % 1.52/1.79 (step @p187 :rule nary_cong :premises (@p186 @p184 @p183) :args (@t282)) % 1.52/1.79 (step @p188 :rule cong :premises (@p187) :args (@t283)) % 1.52/1.79 (step @p189 :rule cong :premises (@p188) :args (@t284)) % 1.52/1.79 (step @p190 :rule refl :args (@t285)) % 1.52/1.79 (step @p191 :rule eq-symm :args (@t215 @t165)) % 1.52/1.79 (step @p192 :rule cong :premises (@p191) :args (@t286)) % 1.52/1.79 (step @p193 :rule eq-symm :args (@t193 @t167)) % 1.52/1.79 (step @p194 :rule cong :premises (@p193) :args (@t287)) % 1.52/1.79 (step @p195 :rule nary_cong :premises (@p194 @p192 @p190) :args (@t288)) % 1.52/1.79 (step @p196 :rule cong :premises (@p195) :args (@t289)) % 1.52/1.79 (step @p197 :rule cong :premises (@p196) :args (@t290)) % 1.52/1.79 (step @p198 :rule refl :args (@t292)) % 1.52/1.79 (step @p199 :rule eq-symm 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((= @t398 @t397))) % 1.52/1.79 (step @p441 :rule cong :premises (@p440) :args (@t399)) % 1.52/1.79 (step @p442 :rule trans :premises (@p441 @p439)) % 1.52/1.79 (step @p443 :rule cong :premises (@p442) :args (@t400)) % 1.52/1.79 (step @p444 :rule quant-merge-prenex :args ((= @t400 @t401))) % 1.52/1.79 (step @p445 :rule symm :premises (@p444)) % 1.52/1.79 (step @p446 :rule quant_var_reordering :args ((= (forall @t402 @t398) @t401))) % 1.52/1.79 (step @p447 :rule trans :premises (@p446 @p445 @p443)) % 1.52/1.79 (step @p448 :rule trans :premises (@p447 @p438)) % 1.52/1.79 (step @p449 :rule aci_norm :args ((= (or false @t323 @t396) @t398))) % 1.52/1.79 (step @p450 :rule refl :args (@t396)) % 1.52/1.79 (step @p451 :rule refl :args (@t323)) % 1.52/1.79 (step @p452 :rule eq-refl :args (@t43)) % 1.52/1.79 (step @p453 :rule cong :premises (@p452) :args (@t403)) % 1.52/1.79 (step @p454 :rule trans :premises (@p453 @p87)) % 1.52/1.79 (step @p455 :rule nary_cong :premises (@p454 @p451 @p450) :args (@t404)) % 1.52/1.79 (step @p456 :rule trans :premises (@p455 @p449)) % 1.52/1.79 (step @p457 :rule cong :premises (@p456) :args ((forall @t402 @t404))) % 1.52/1.79 (step @p458 :rule trans :premises (@p457 @p448)) % 1.52/1.79 (step @p459 :rule quant-var-elim-eq :args ((= (forall @t410 @t409) @t404))) % 1.52/1.79 (step @p460 :rule aci_norm :args ((= @t411 @t409))) % 1.52/1.79 (step @p461 :rule cong :premises (@p460) :args (@t412)) % 1.52/1.79 (step @p462 :rule trans :premises (@p461 @p459)) % 1.52/1.79 (step @p463 :rule cong :premises (@p462) :args (@t413)) % 1.52/1.79 (step @p464 :rule quant-merge-prenex :args ((= @t413 @t414))) % 1.52/1.79 (step @p465 :rule symm :premises (@p464)) % 1.52/1.79 (step @p466 :rule quant_var_reordering :args ((= (forall @t55 @t411) @t414))) % 1.52/1.79 (step @p467 :rule trans :premises (@p466 @p465 @p463)) % 1.52/1.79 (step @p468 :rule trans :premises (@p467 @p458)) % 1.52/1.79 (step @p469 :rule aci_norm :args ((= (or (or @t408 @t323) @t407) @t411))) % 1.52/1.79 (step @p470 :rule aci_norm :args ((= (or @t405 @t52) @t406))) % 1.52/1.79 (step @p471 :rule bool-impl-elim :args (@t45 @t52)) % 1.52/1.79 (step @p472 :rule trans :premises (@p471 @p470)) % 1.52/1.79 (step @p473 :rule refl :args (@t45)) % 1.52/1.79 (step @p474 :rule bool-or-de-morgan :args (@t51 @t50 false)) % 1.52/1.79 (step @p475 :rule nary_cong :premises (@p474 @p473) :args ((or (not @t52) @t45))) % 1.52/1.79 (step @p476 :rule bool-impl-elim :args (@t52 @t45)) % 1.52/1.79 (step @p477 :rule trans :premises (@p476 @p475)) % 1.52/1.79 (step @p478 :rule nary_cong :premises (@p477 @p472) :args (@t53)) % 1.52/1.79 (step @p479 :rule bool-and-de-morgan :args (@t46 @t40 true)) % 1.52/1.79 (step @p480 :rule nary_cong :premises (@p479 @p478) :args ((or (not @t54) @t53))) % 1.52/1.79 (step @p481 :rule trans :premises (@p480 @p469)) % 1.52/1.79 (step @p482 :rule bool-impl-elim :args (@t54 @t53)) % 1.52/1.79 (step @p483 :rule trans :premises (@p482 @p481)) % 1.52/1.79 (step @p484 :rule cong :premises (@p483) :args (@t56)) % 1.52/1.79 (step @p485 :rule trans :premises (@p484 @p468)) % 1.52/1.79 (step @p486 :rule eq_resolve :premises (@p12 @p485)) % 1.52/1.79 (step @p487 :rule and_elim :premises (@p486) :args (0)) % 1.52/1.79 (step @p488 :rule instantiate :premises (@p487) :args ((@list tptp.ve1app @t212 tptp.ve2app))) % 1.52/1.79 (step @p489 :rule cnf_or_neg :args (@t359 0)) % 1.52/1.79 (step @p490 :rule chain_m_resolution :premises (@p489 @p357) :args ((not @t358) @t340 @t360)) % 1.52/1.79 (step @p491 :rule cnf_or_pos :args (@t420)) % 1.52/1.79 (step @p492 :rule reordering :premises (@p491) :args ((or @t358 @t419 (not @t420)))) % 1.52/1.79 (step @p493 :rule chain_m_resolution :premises (@p492 @p490 @p488) :args (@t419 @t335 (@list @t358 @t420))) % 1.52/1.79 (step @p494 :rule cnf_and_pos :args (@t419 1)) % 1.52/1.79 (step @p495 :rule reordering :premises (@p494) :args ((or @t416 @t421))) % 1.52/1.79 (step @p496 :rule chain_m_resolution :premises (@p495 @p493) :args (@t416 @t307 @t422)) % 1.52/1.79 (step @p497 :rule cnf_or_pos :args (@t425)) % 1.52/1.79 (step @p498 :rule reordering :premises (@p497) :args ((or @t415 @t424 @t423 (not @t425)))) % 1.52/1.79 (step @p499 :rule chain_m_resolution :premises (@p498 @p496 @p427 @p82) :args (@t423 @t426 (@list @t415 @t382 @t425))) % 1.52/1.79 (step @p500 :rule aci_norm :args ((= (or (or @t182 @t427) @t180) (or @t182 @t427 @t180)))) % 1.52/1.79 (step @p501 :rule refl :args (@t180)) % 1.52/1.79 (step @p502 :rule refl :args (@t427)) % 1.52/1.79 (step @p503 :rule bool-double-not-elim :args (@t182)) % 1.52/1.79 (step @p504 :rule nary_cong :premises (@p503 @p502) :args ((or (not @t183) @t427))) % 1.52/1.79 (step @p505 :rule bool-and-de-morgan :args (@t183 @t181 true)) % 1.52/1.79 (step @p506 :rule trans :premises (@p505 @p504)) % 1.52/1.79 (step @p507 :rule nary_cong :premises (@p506 @p501) :args ((or (not @t184) @t180))) % 1.52/1.79 (step @p508 :rule trans :premises (@p507 @p500)) % 1.52/1.79 (step @p509 :rule bool-impl-elim :args (@t184 @t180)) % 1.52/1.79 (step @p510 :rule trans :premises (@p509 @p508)) % 1.52/1.79 (step @p511 :rule cong :premises (@p510) :args (@t186)) % 1.52/1.79 (step @p512 :rule eq_resolve :premises (@p56 @p511)) % 1.52/1.79 (step @p513 :rule instantiate :premises (@p512) :args ((@list @t212 @t211 @t210 @t363))) % 1.52/1.79 (step @p514 :rule cnf_and_pos :args (@t377 0)) % 1.52/1.79 (step @p515 :rule reordering :premises (@p514) :args ((or @t376 @t380))) % 1.52/1.79 (step @p516 :rule chain_m_resolution :premises (@p515 @p396) :args (@t376 @t307 @t381)) % 1.52/1.79 (step @p517 :rule bool-double-not-elim :args (@t364)) % 1.52/1.79 (step @p518 :rule nary_cong :premises (@p388 @p517) :args ((or @t369 (not @t365)))) % 1.52/1.79 (step @p519 :rule cnf_or_neg :args (@t369 1)) % 1.52/1.79 (step @p520 :rule eq_resolve :premises (@p519 @p518)) % 1.52/1.79 (step @p521 :rule reordering :premises (@p520) :args ((or @t364 @t369))) % 1.52/1.79 (step @p522 :rule chain_m_resolution :premises (@p521 @p386) :args (@t364 @t340 @t374)) % 1.52/1.79 (assume-push @p585 @t364) % 1.52/1.79 (assume-push @p586 @t376) % 1.52/1.79 (assume-push @p587 @t364) % 1.52/1.79 (assume-push @p588 @t376) % 1.52/1.79 (step @p527 :rule true_intro :premises (@p585)) % 1.52/1.79 (step @p528 :rule refl :args (@t363)) % 1.52/1.79 (step @p412 :rule refl :args (@t213)) % 1.52/1.79 (step @p529 :rule cong :premises (@p412 @p586 @p528) :args (@t428)) % 1.52/1.79 (step @p530 :rule trans :premises (@p529 @p527)) % 1.52/1.79 (step @p531 :rule true_elim :premises (@p530)) % 1.52/1.79 (step-pop @p589 :rule scope :premises (@p531)) % 1.52/1.79 (step-pop @p590 :rule scope :premises (@p589)) % 1.52/1.79 (step @p532 :rule process_scope :premises (@p590) :args (@t428)) % 1.52/1.79 (step @p535 :rule and_intro :premises (@p585 @p586)) % 1.52/1.79 (step @p536 :rule modus_ponens :premises (@p535 @p532)) % 1.52/1.79 (step-pop @p591 :rule scope :premises (@p536)) % 1.52/1.79 (step-pop @p592 :rule scope :premises (@p591)) % 1.52/1.79 (step @p537 :rule process_scope :premises (@p592) :args (@t428)) % 0.37/1.80 (step @p540 :rule implies_elim :premises (@p537)) % 0.37/1.80 (step @p541 :rule cnf_and_neg :args (@t429)) % 0.37/1.80 (step @p542 :rule resolution :premises (@p541 @p540) :args (true @t429)) % 0.37/1.80 (step @p543 :rule chain_m_resolution :premises (@p542 @p522 @p516) :args (@t428 @t379 (@list @t364 @t376))) % 0.37/1.80 (step @p544 :rule cnf_and_pos :args (@t419 0)) % 0.37/1.80 (step @p545 :rule reordering :premises (@p544) :args ((or @t418 @t421))) % 0.37/1.80 (step @p546 :rule chain_m_resolution :premises (@p545 @p493) :args (@t418 @t307 @t422)) % 0.37/1.80 (step @p547 :rule cnf_or_pos :args (@t432)) % 0.37/1.80 (step @p548 :rule reordering :premises (@p547) :args ((or @t417 @t431 @t430 (not @t432)))) % 0.37/1.80 (step @p549 :rule chain_m_resolution :premises (@p548 @p546 @p543 @p513) :args (@t430 @t426 (@list @t417 @t428 @t432))) % 0.37/1.80 (step @p550 :rule cnf_or_neg :args (@t359 2)) % 0.37/1.80 (step @p551 :rule chain_m_resolution :premises (@p550 @p357) :args ((not @t357) @t340 @t360)) % 0.37/1.80 (step @p552 :rule cnf_or_pos :args (@t435)) % 0.37/1.80 (step @p553 :rule reordering :premises (@p552) :args ((or @t357 @t434 @t433 @t436))) % 0.37/1.80 (step @p554 :rule chain_m_resolution :premises (@p553 @p551 @p549 @p499) :args (@t436 @t426 (@list @t357 @t430 @t423))) % 0.37/1.80 (assume-push @p593 @t437) % 0.37/1.80 (step @p556 :rule instantiate :premises (@p68) :args ((@list @t218 @t210 tptp.ve1app tptp.ve2app @t215))) % 0.37/1.80 (step-pop @p594 :rule scope :premises (@p556)) % 0.37/1.80 (step @p557 :rule process_scope :premises (@p594) :args (@t435)) % 0.37/1.80 (step @p559 :rule implies_elim :premises (@p557)) % 0.37/1.80 (step @p560 false :rule chain_m_resolution :premises (@p559 @p554 @p68) :args (false @t335 (@list @t435 @t437))) % 0.37/1.80 ) % 0.37/1.80 % SZS output end Proof % 0.37/1.80 % cvc5 exiting %------------------------------------------------------------------------------