%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COM125+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 08:10:33 AM UTC 2026 % Result : Theorem 0.37s 0.67s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COM125+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 % 0.16/0.34 % Computer : n015.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Mon Jun 1 20:30:34 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.67 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.67 % SZS status Theorem % 0.37/0.67 % SZS output start Proof % 0.37/0.67 ( % 0.37/0.67 (declare-sort $$unsorted 0) % 0.37/0.67 (declare-const tptp.varrow (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.67 (declare-const tptp.vgetSomeExp (-> $$unsorted $$unsorted)) % 0.37/0.67 (declare-const tptp.vsomeExp (-> $$unsorted $$unsorted)) % 0.37/0.67 (declare-const tptp.vnoExp $$unsorted) % 0.37/0.67 (declare-const tptp.veabs $$unsorted) % 0.37/0.67 (declare-const tptp.vsubst (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.67 (declare-const tptp.vgensym (-> $$unsorted $$unsorted)) % 0.37/0.67 (declare-const tptp.vapp (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.67 (declare-const tptp.visValue (-> $$unsorted Bool)) % 0.37/0.67 (declare-const tptp.vempty $$unsorted) % 0.37/0.67 (declare-const tptp.vbind (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.67 (declare-const tptp.vnoType $$unsorted) % 0.37/0.67 (declare-const tptp.visFreeVar (-> $$unsorted $$unsorted Bool)) % 0.37/0.67 (declare-const tptp.vtcheck (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.67 (declare-const tptp.vsomeType (-> $$unsorted $$unsorted)) % 0.37/0.67 (declare-const tptp.visSomeExp (-> $$unsorted Bool)) % 0.37/0.67 (declare-const tptp.vvar (-> $$unsorted $$unsorted)) % 0.37/0.67 (declare-const tptp.vlookup (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.67 (declare-const tptp.vabs (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.67 (declare-const tptp.visSomeType (-> $$unsorted Bool)) % 0.37/0.67 (declare-const tptp.vreduce (-> $$unsorted $$unsorted)) % 0.37/0.67 (declare-const tptp.vgetSomeType (-> $$unsorted $$unsorted)) % 0.37/0.67 (define @t1 () (@var "VVar1" $$unsorted)) % 0.37/0.67 (define @t2 () (@var "VVar0" $$unsorted)) % 0.37/0.67 (define @t3 () (tptp.vvar @t2)) % 0.37/0.67 (define @t4 () (= @t3 (tptp.vvar @t1))) % 0.37/0.67 (define @t5 () (= @t2 @t1)) % 0.37/0.67 (define @t6 () (@var "VExp1" $$unsorted)) % 0.37/0.67 (define @t7 () (@var "VTyp1" $$unsorted)) % 0.37/0.67 (define @t8 () (@var "VExp0" $$unsorted)) % 0.37/0.67 (define @t9 () (@var "VTyp0" $$unsorted)) % 0.37/0.67 (define @t10 () (tptp.vabs @t2 @t9 @t8)) % 0.37/0.67 (define @t11 () (= @t10 (tptp.vabs @t1 @t7 @t6))) % 0.37/0.67 (define @t12 () (= @t8 @t6)) % 0.37/0.67 (define @t13 () (= @t9 @t7)) % 0.37/0.67 (define @t14 () (and @t5 @t13 @t12)) % 0.37/0.67 (define @t15 () (@var "VExp3" $$unsorted)) % 0.37/0.67 (define @t16 () (@var "VExp2" $$unsorted)) % 0.37/0.67 (define @t17 () (tptp.vapp @t8 @t6)) % 0.37/0.67 (define @t18 () (= @t17 (tptp.vapp @t16 @t15))) % 0.37/0.67 (define @t19 () (and (= @t8 @t16) (= @t6 @t15))) % 0.37/0.67 (define @t20 () (tptp.visValue @t8)) % 0.37/0.67 (define @t21 () (@var "Ve" $$unsorted)) % 0.37/0.67 (define @t22 () (@var "VS" $$unsorted)) % 0.37/0.67 (define @t23 () (@var "Vx" $$unsorted)) % 0.37/0.67 (define @t24 () (tptp.vabs @t23 @t22 @t21)) % 0.37/0.67 (define @t25 () (= @t8 @t24)) % 0.37/0.67 (define @t26 () (not @t20)) % 0.37/0.67 (define @t27 () (tptp.vvar @t23)) % 0.37/0.67 (define @t28 () (= @t8 @t27)) % 0.37/0.67 (define @t29 () (@var "Ve2" $$unsorted)) % 0.37/0.67 (define @t30 () (@var "Ve1" $$unsorted)) % 0.37/0.67 (define @t31 () (tptp.vapp @t30 @t29)) % 0.37/0.67 (define @t32 () (= @t8 @t31)) % 0.37/0.67 (define @t33 () (@var "Vv" $$unsorted)) % 0.37/0.67 (define @t34 () (= @t23 @t33)) % 0.37/0.67 (define @t35 () (tptp.visFreeVar @t2 @t8)) % 0.37/0.67 (define @t36 () (= @t2 @t33)) % 0.37/0.67 (define @t37 () (tptp.visFreeVar @t33 @t21)) % 0.37/0.67 (define @t38 () (not @t34)) % 0.37/0.67 (define @t39 () (and @t38 @t37)) % 0.37/0.67 (define @t40 () (and (=> @t39 @t35) (=> @t35 @t39))) % 0.37/0.67 (define @t41 () (@var "VT" $$unsorted)) % 0.37/0.67 (define @t42 () (tptp.vabs @t23 @t41 @t21)) % 0.37/0.67 (define @t43 () (= @t8 @t42)) % 0.37/0.67 (define @t44 () (and @t36 @t43)) % 0.37/0.67 (define @t45 () (@list @t41 @t2 @t8 @t23 @t33 @t21)) % 0.37/0.67 (define @t46 () (forall @t45 (=> @t44 @t40))) % 0.37/0.67 (define @t47 () (or (tptp.visFreeVar @t33 @t30) (tptp.visFreeVar @t33 @t29))) % 0.37/0.67 (define @t48 () (= tptp.vempty tptp.vempty)) % 0.37/0.67 (define @t49 () (@var "VCtx1" $$unsorted)) % 0.37/0.67 (define @t50 () (@var "VCtx0" $$unsorted)) % 0.37/0.67 (define @t51 () (tptp.vbind @t2 @t9 @t50)) % 0.37/0.67 (define @t52 () (= @t51 (tptp.vbind @t1 @t7 @t49))) % 0.37/0.67 (define @t53 () (and @t5 @t13 (= @t50 @t49))) % 0.37/0.67 (define @t54 () (= tptp.vnoType tptp.vnoType)) % 0.37/0.67 (define @t55 () (tptp.vsomeType @t9)) % 0.37/0.67 (define @t56 () (= @t55 (tptp.vsomeType @t7))) % 0.37/0.67 (define @t57 () (@var "VOptTyp0" $$unsorted)) % 0.37/0.67 (define @t58 () (tptp.visSomeType @t57)) % 0.37/0.67 (define @t59 () (= @t57 (tptp.vsomeType @t21))) % 0.37/0.67 (define @t60 () (@var "RESULT" $$unsorted)) % 0.37/0.67 (define @t61 () (= @t60 @t21)) % 0.37/0.67 (define @t62 () (= @t60 tptp.vnoType)) % 0.37/0.67 (define @t63 () (tptp.vlookup @t2 @t50)) % 0.37/0.67 (define @t64 () (= @t60 @t63)) % 0.37/0.67 (define @t65 () (= @t50 tptp.vempty)) % 0.37/0.67 (define @t66 () (= @t2 @t23)) % 0.37/0.67 (define @t67 () (@var "VTy" $$unsorted)) % 0.37/0.67 (define @t68 () (= @t60 (tptp.vsomeType @t67))) % 0.37/0.67 (define @t69 () (@var "Vy" $$unsorted)) % 0.37/0.67 (define @t70 () (= @t23 @t69)) % 0.37/0.67 (define @t71 () (@var "VC" $$unsorted)) % 0.37/0.67 (define @t72 () (tptp.vbind @t69 @t67 @t71)) % 0.37/0.67 (define @t73 () (= @t50 @t72)) % 0.37/0.67 (define @t74 () (and @t66 @t73)) % 0.37/0.67 (define @t75 () (tptp.vlookup @t23 @t71)) % 0.37/0.67 (define @t76 () (= @t60 @t75)) % 0.37/0.67 (define @t77 () (not @t70)) % 0.37/0.67 (define @t78 () (@list @t23)) % 0.37/0.67 (define @t79 () (@var "VTx" $$unsorted)) % 0.37/0.67 (define @t80 () (tptp.vbind @t23 @t79 @t71)) % 0.37/0.67 (define @t81 () (tptp.vtcheck (tptp.vbind @t23 @t79 @t72) @t21 @t41)) % 0.37/0.67 (define @t82 () (@list @t69 @t67 @t23 @t79 @t71 @t21 @t41)) % 0.37/0.67 (define @t83 () (not @t37)) % 0.37/0.67 (define @t84 () (tptp.vsubst @t2 @t8 @t6)) % 0.37/0.67 (define @t85 () (= @t60 @t84)) % 0.37/0.67 (define @t86 () (tptp.vvar @t69)) % 0.37/0.67 (define @t87 () (= @t6 @t86)) % 0.37/0.67 (define @t88 () (= @t8 @t21)) % 0.37/0.67 (define @t89 () (and @t66 @t88 @t87)) % 0.37/0.67 (define @t90 () (= @t60 @t86)) % 0.37/0.67 (define @t91 () (tptp.vsubst @t23 @t21 @t30)) % 0.37/0.67 (define @t92 () (= @t60 (tptp.vapp @t91 (tptp.vsubst @t23 @t21 @t29)))) % 0.37/0.67 (define @t93 () (= @t6 @t31)) % 0.37/0.67 (define @t94 () (tptp.vabs @t69 @t41 @t30)) % 0.37/0.67 (define @t95 () (= @t60 @t94)) % 0.37/0.67 (define @t96 () (= @t6 @t94)) % 0.37/0.67 (define @t97 () (and @t66 @t88 @t96)) % 0.37/0.67 (define @t98 () (@var "Vfresh" $$unsorted)) % 0.37/0.67 (define @t99 () (= @t60 (tptp.vsubst @t23 @t21 (tptp.vabs @t98 @t41 (tptp.vsubst @t69 (tptp.vvar @t98) @t30))))) % 0.37/0.67 (define @t100 () (= @t98 (tptp.vgensym (tptp.vapp (tptp.vapp @t21 @t30) @t27)))) % 0.37/0.67 (define @t101 () (tptp.visFreeVar @t69 @t21)) % 0.37/0.67 (define @t102 () (= @t60 (tptp.vabs @t69 @t41 @t91))) % 0.37/0.67 (define @t103 () (not @t101)) % 0.37/0.67 (define @t104 () (= tptp.vnoExp tptp.vnoExp)) % 0.37/0.67 (define @t105 () (tptp.vsomeExp @t8)) % 0.37/0.67 (define @t106 () (= @t105 (tptp.vsomeExp @t6))) % 0.37/0.67 (define @t107 () (@list @t8)) % 0.37/0.67 (define @t108 () (@var "VOptExp0" $$unsorted)) % 0.37/0.67 (define @t109 () (tptp.visSomeExp @t108)) % 0.37/0.67 (define @t110 () (= @t108 (tptp.vsomeExp @t21))) % 0.37/0.67 (define @t111 () (= @t60 tptp.vnoExp)) % 0.37/0.67 (define @t112 () (tptp.vreduce @t8)) % 0.37/0.67 (define @t113 () (= @t60 @t112)) % 0.37/0.67 (define @t114 () (=> @t113 @t111)) % 0.37/0.67 (define @t115 () (@var "Ve2red" $$unsorted)) % 0.37/0.67 (define @t116 () (tptp.vabs @t23 @t22 @t30)) % 0.37/0.67 (define @t117 () (= @t60 (tptp.vsomeExp (tptp.vapp @t116 (tptp.vgetSomeExp @t115))))) % 0.37/0.67 (define @t118 () (tptp.visSomeExp @t115)) % 0.37/0.67 (define @t119 () (= @t115 (tptp.vreduce @t29))) % 0.37/0.67 (define @t120 () (= @t8 (tptp.vapp @t116 @t29))) % 0.37/0.67 (define @t121 () (= @t60 (tptp.vsomeExp (tptp.vsubst @t23 @t29 @t30)))) % 0.37/0.67 (define @t122 () (tptp.visValue @t29)) % 0.37/0.67 (define @t123 () (not @t118)) % 0.37/0.67 (define @t124 () (not @t122)) % 0.37/0.67 (define @t125 () (@var "Ve1red" $$unsorted)) % 0.37/0.67 (define @t126 () (= @t60 (tptp.vsomeExp (tptp.vapp (tptp.vgetSomeExp @t125) @t29)))) % 0.37/0.67 (define @t127 () (tptp.visSomeExp @t125)) % 0.37/0.67 (define @t128 () (= @t125 (tptp.vreduce @t30))) % 0.37/0.67 (define @t129 () (@var "VVe10" $$unsorted)) % 0.37/0.67 (define @t130 () (@var "VVS0" $$unsorted)) % 0.37/0.67 (define @t131 () (@var "VVx0" $$unsorted)) % 0.37/0.67 (define @t132 () (forall (@list @t131 @t130 @t129) (not (= @t30 (tptp.vabs @t131 @t130 @t129))))) % 0.37/0.67 (define @t133 () (and @t32 @t132)) % 0.37/0.67 (define @t134 () (not @t127)) % 0.37/0.67 (define @t135 () (@var "VTyp3" $$unsorted)) % 0.37/0.67 (define @t136 () (@var "VTyp2" $$unsorted)) % 0.37/0.67 (define @t137 () (= (tptp.varrow @t9 @t7) (tptp.varrow @t136 @t135))) % 0.37/0.67 (define @t138 () (and (= @t9 @t136) (= @t7 @t135))) % 0.37/0.67 (define @t139 () (= @t75 (tptp.vsomeType @t41))) % 0.37/0.67 (define @t140 () (tptp.varrow @t22 @t41)) % 0.37/0.67 (define @t141 () (tptp.vbind @t23 @t22 @t71)) % 0.37/0.67 (define @t142 () (tptp.vtcheck @t141 @t21 @t41)) % 0.37/0.67 (define @t143 () (tptp.vtcheck @t71 @t29 @t22)) % 0.37/0.67 (define @t144 () (tptp.vtcheck @t71 @t30 @t140)) % 0.37/0.67 (define @t145 () (@var "VT2" $$unsorted)) % 0.37/0.67 (define @t146 () (@var "VT1" $$unsorted)) % 0.37/0.67 (define @t147 () (tptp.vtcheck @t71 @t21 @t41)) % 0.37/0.67 (define @t148 () (@list @t23 @t22 @t71 @t21 @t41)) % 0.37/0.67 (define @t149 () (@var "VS1" $$unsorted)) % 0.37/0.67 (define @t150 () (tptp.vabs @t69 @t149 tptp.veabs)) % 0.37/0.67 (define @t151 () (tptp.vtcheck @t141 @t150 @t41)) % 0.37/0.67 (define @t152 () (tptp.vtcheck @t71 @t150 @t41)) % 0.37/0.67 (define @t153 () (tptp.visFreeVar @t23 @t150)) % 0.37/0.67 (define @t154 () (not @t153)) % 0.37/0.67 (define @t155 () (and @t77 @t154 @t152)) % 0.37/0.67 (define @t156 () (@list @t23 @t22 @t71 @t69 @t149 @t41)) % 0.37/0.67 (define @t157 () (forall @t156 (=> @t155 @t151))) % 0.37/0.67 (define @t158 () (and @t70 @t154 @t152)) % 0.37/0.67 (define @t159 () (forall @t156 (=> @t158 @t151))) % 0.37/0.67 (define @t160 () (and @t154 @t152)) % 0.37/0.67 (define @t161 () (forall @t156 (=> @t160 @t151))) % 0.37/0.67 (define @t162 () (not @t161)) % 0.37/0.67 (define @t163 () (@var "BOUND_VARIABLE_8364" $$unsorted)) % 0.37/0.67 (define @t164 () (@var "BOUND_VARIABLE_8358" $$unsorted)) % 0.37/0.67 (define @t165 () (@var "BOUND_VARIABLE_8360" $$unsorted)) % 0.37/0.67 (define @t166 () (@var "BOUND_VARIABLE_8362" $$unsorted)) % 0.37/0.67 (define @t167 () (forall (@list @t164 @t165 @t166 @t163) (or (tptp.visFreeVar @t166 @t163) (not (tptp.visFreeVar @t166 (tptp.vabs @t165 @t164 @t163)))))) % 0.37/0.67 (define @t168 () (@var "BOUND_VARIABLE_8348" $$unsorted)) % 0.37/0.67 (define @t169 () (@var "BOUND_VARIABLE_8342" $$unsorted)) % 0.37/0.67 (define @t170 () (@var "BOUND_VARIABLE_8346" $$unsorted)) % 0.37/0.67 (define @t171 () (not (tptp.visFreeVar @t170 (tptp.vabs @t170 @t169 @t168)))) % 0.37/0.67 (define @t172 () (@list @t169 @t170 @t168)) % 0.37/0.67 (define @t173 () (forall @t172 @t171)) % 0.37/0.67 (define @t174 () (@var "BOUND_VARIABLE_8307" $$unsorted)) % 0.37/0.67 (define @t175 () (@var "BOUND_VARIABLE_8301" $$unsorted)) % 0.37/0.67 (define @t176 () (@var "BOUND_VARIABLE_8303" $$unsorted)) % 0.37/0.67 (define @t177 () (@var "BOUND_VARIABLE_8305" $$unsorted)) % 0.37/0.67 (define @t178 () (forall (@list @t175 @t176 @t177 @t174) (or (= @t176 @t177) (not (tptp.visFreeVar @t177 @t174)) (tptp.visFreeVar @t177 (tptp.vabs @t176 @t175 @t174))))) % 0.37/0.67 (define @t179 () (not (= @t170 @t170))) % 0.37/0.67 (define @t180 () (or @t179 @t171)) % 0.37/0.67 (define @t181 () (@var "BOUND_VARIABLE_8344" $$unsorted)) % 0.37/0.67 (define @t182 () (not (tptp.visFreeVar @t170 (tptp.vabs @t181 @t169 @t168)))) % 0.37/0.67 (define @t183 () (not (= @t181 @t170))) % 0.37/0.67 (define @t184 () (or @t183 @t183 @t182)) % 0.37/0.67 (define @t185 () (@list @t181)) % 0.37/0.67 (define @t186 () (or @t183 @t182)) % 0.37/0.67 (define @t187 () (forall @t185 @t186)) % 0.37/0.67 (define @t188 () (forall @t172 @t187)) % 0.37/0.67 (define @t189 () (forall (@list @t169 @t170 @t168 @t181) @t186)) % 0.37/0.67 (define @t190 () (forall (@list @t169 @t181 @t170 @t168) @t186)) % 0.37/0.67 (define @t191 () (@var "BOUND_VARIABLE_8323" $$unsorted)) % 0.37/0.67 (define @t192 () (@var "BOUND_VARIABLE_8317" $$unsorted)) % 0.37/0.67 (define @t193 () (@var "BOUND_VARIABLE_8319" $$unsorted)) % 0.37/0.67 (define @t194 () (@var "BOUND_VARIABLE_8321" $$unsorted)) % 0.37/0.67 (define @t195 () (not (tptp.visFreeVar @t194 (tptp.vabs @t193 @t192 @t191)))) % 0.37/0.67 (define @t196 () (tptp.visFreeVar @t194 @t191)) % 0.37/0.67 (define @t197 () (or @t196 @t195)) % 0.37/0.67 (define @t198 () (@list @t192 @t193 @t194 @t191)) % 0.37/0.67 (define @t199 () (forall @t198 @t197)) % 0.37/0.67 (define @t200 () (@list @t192 @t193 @t194 @t191)) % 0.37/0.67 (define @t201 () (not (= @t193 @t194))) % 0.37/0.67 (define @t202 () (or @t201 @t195)) % 0.37/0.67 (define @t203 () (forall @t198 @t202)) % 0.37/0.67 (define @t204 () (and @t203 @t199)) % 0.37/0.67 (define @t205 () (and @t201 @t196)) % 0.37/0.67 (define @t206 () (or @t205 @t195)) % 0.37/0.67 (define @t207 () (or @t195 @t205)) % 0.37/0.67 (define @t208 () (forall @t198 @t207)) % 0.37/0.67 (define @t209 () (tptp.visFreeVar @t33 @t42)) % 0.37/0.67 (define @t210 () (or (not @t209) @t39)) % 0.37/0.67 (define @t211 () (@list @t41 @t23 @t33 @t21)) % 0.37/0.67 (define @t212 () (forall @t211 @t210)) % 0.37/0.67 (define @t213 () (@list @t41 @t23 @t33 @t21)) % 0.37/0.67 (define @t214 () (or @t34 @t83 @t209)) % 0.37/0.67 (define @t215 () (forall @t211 @t214)) % 0.37/0.67 (define @t216 () (and @t215 @t212)) % 0.37/0.67 (define @t217 () (and @t214 @t210)) % 0.37/0.67 (define @t218 () (not (= @t42 @t42))) % 0.37/0.67 (define @t219 () (or @t218 @t217)) % 0.37/0.67 (define @t220 () (tptp.visFreeVar @t33 @t8)) % 0.37/0.67 (define @t221 () (and (or @t34 @t83 @t220) (or (not @t220) @t39))) % 0.37/0.67 (define @t222 () (not @t43)) % 0.37/0.67 (define @t223 () (or @t222 @t222 @t221)) % 0.37/0.67 (define @t224 () (or @t222 @t221)) % 0.37/0.67 (define @t225 () (forall @t107 @t224)) % 0.37/0.67 (define @t226 () (forall @t211 @t225)) % 0.37/0.67 (define @t227 () (forall (@list @t41 @t23 @t33 @t21 @t8) @t224)) % 0.37/0.67 (define @t228 () (@list @t41 @t8 @t23 @t33 @t21)) % 0.37/0.67 (define @t229 () (not (= @t33 @t33))) % 0.37/0.67 (define @t230 () (or @t229 @t222 @t221)) % 0.37/0.67 (define @t231 () (or @t34 @t83 @t35)) % 0.37/0.67 (define @t232 () (and @t231 (or (not @t35) @t39))) % 0.37/0.67 (define @t233 () (not @t36)) % 0.37/0.67 (define @t234 () (or @t233 @t233 @t222 @t232)) % 0.37/0.67 (define @t235 () (@list @t2)) % 0.37/0.67 (define @t236 () (or @t233 @t222 @t232)) % 0.37/0.67 (define @t237 () (forall @t235 @t236)) % 0.37/0.67 (define @t238 () (forall @t228 @t237)) % 0.37/0.67 (define @t239 () (forall (@list @t41 @t8 @t23 @t33 @t21 @t2) @t236)) % 0.37/0.67 (define @t240 () (not @t152)) % 0.37/0.67 (define @t241 () (or @t153 @t240 @t151)) % 0.37/0.67 (define @t242 () (forall @t156 @t241)) % 0.37/0.67 (define @t243 () (@quantifiers_skolemize @t242 3)) % 0.37/0.67 (define @t244 () (@quantifiers_skolemize @t242 4)) % 0.37/0.67 (define @t245 () (not @t154)) % 0.37/0.67 (define @t246 () (not @t77)) % 0.37/0.67 (define @t247 () (or @t246 @t245 @t240)) % 0.37/0.67 (define @t248 () (or @t245 @t240)) % 0.37/0.67 (define @t249 () (not @t160)) % 0.37/0.67 (define @t250 () (@quantifiers_skolemize @t242 5)) % 0.37/0.67 (define @t251 () (@quantifiers_skolemize @t242 2)) % 0.37/0.67 (define @t252 () (@quantifiers_skolemize @t242 1)) % 0.37/0.67 (define @t253 () (@quantifiers_skolemize @t242 0)) % 0.37/0.67 (define @t254 () (tptp.vabs @t243 @t244 tptp.veabs)) % 0.37/0.67 (define @t255 () (tptp.vbind @t253 @t252 @t251)) % 0.37/0.67 (define @t256 () (tptp.vtcheck @t255 @t254 @t250)) % 0.37/0.67 (define @t257 () (tptp.vtcheck @t251 @t254 @t250)) % 0.37/0.67 (define @t258 () (not @t257)) % 0.37/0.67 (define @t259 () (tptp.visFreeVar @t253 @t254)) % 0.37/0.67 (define @t260 () (or @t259 @t258 @t256)) % 0.37/0.67 (define @t261 () (@list true)) % 0.37/0.67 (define @t262 () (@list @t260)) % 0.37/0.67 (define @t263 () (= @t253 @t243)) % 0.37/0.67 (define @t264 () (or @t263 @t259 @t258 @t256)) % 0.37/0.67 (define @t265 () (tptp.vabs @t253 @t244 tptp.veabs)) % 0.37/0.67 (define @t266 () (tptp.visFreeVar @t253 @t265)) % 0.37/0.67 (define @t267 () (tptp.vtcheck (tptp.vbind @t69 @t22 @t71) @t150 @t41)) % 0.37/0.67 (define @t268 () (tptp.visFreeVar @t69 @t150)) % 0.37/0.67 (define @t269 () (not (= @t69 @t69))) % 0.37/0.67 (define @t270 () (or @t269 @t268 @t240 @t267)) % 0.37/0.67 (define @t271 () (@list @t22 @t71 @t69 @t149 @t41)) % 0.37/0.67 (define @t272 () (or @t77 @t77 @t153 @t240 @t151)) % 0.37/0.67 (define @t273 () (or @t77 @t153 @t240 @t151)) % 0.37/0.67 (define @t274 () (forall @t78 @t273)) % 0.37/0.67 (define @t275 () (forall @t271 @t274)) % 0.37/0.67 (define @t276 () (forall (@list @t22 @t71 @t69 @t149 @t41 @t23) @t273)) % 0.37/0.67 (define @t277 () (or @t77 @t245 @t240)) % 0.37/0.67 (define @t278 () (tptp.vtcheck @t255 @t265 @t250)) % 0.37/0.67 (define @t279 () (tptp.vtcheck @t251 @t265 @t250)) % 0.37/0.67 (define @t280 () (not @t279)) % 0.37/0.67 (define @t281 () (or @t266 @t280 @t278)) % 0.37/0.67 (assume @p1 (forall (@list @t2 @t1) (and (=> @t4 @t5) (=> @t5 @t4)))) % 0.37/0.67 (assume @p2 (forall (@list @t2 @t9 @t8 @t1 @t7 @t6) (and (=> @t11 @t14) (=> @t14 @t11)))) % 0.37/0.67 (assume @p3 (forall (@list @t8 @t6 @t16 @t15) (and (=> @t18 @t19) (=> @t19 @t18)))) % 0.37/0.67 (assume @p4 (forall (@list @t2 @t1 @t9 @t8) (not (= @t3 (tptp.vabs @t1 @t9 @t8))))) % 0.37/0.67 (assume @p5 (forall (@list @t2 @t8 @t6) (not (= @t3 @t17)))) % 0.37/0.67 (assume @p6 (forall (@list @t2 @t9 @t8 @t6 @t16) (not (= @t10 (tptp.vapp @t6 @t16))))) % 0.37/0.67 (assume @p7 (forall (@list @t23 @t22 @t21 @t8) (=> @t25 @t20))) % 0.37/0.67 (assume @p8 (forall (@list @t23 @t8) (=> @t28 @t26))) % 0.37/0.67 (assume @p9 (forall (@list @t30 @t29 @t8) (=> @t32 @t26))) % 0.37/0.67 (assume @p10 (forall (@list @t2 @t8 @t23 @t33) (=> (and @t36 @t28) (and (=> @t34 @t35) (=> @t35 @t34))))) % 0.37/0.67 (assume @p11 @t46) % 0.37/0.67 (assume @p12 (forall (@list @t2 @t8 @t30 @t33 @t29) (=> (and @t36 @t32) (and (=> @t47 @t35) (=> @t35 @t47))))) % 0.37/0.67 (assume @p13 (and (=> @t48 true) (=> true @t48))) % 0.37/0.67 (assume @p14 (forall (@list @t2 @t9 @t50 @t1 @t7 @t49) (and (=> @t52 @t53) (=> @t53 @t52)))) % 0.37/0.67 (assume @p15 (and (=> @t54 true) (=> true @t54))) % 0.37/0.67 (assume @p16 (forall (@list @t9 @t7) (and (=> @t56 @t13) (=> @t13 @t56)))) % 0.37/0.67 (assume @p17 (forall (@list @t2 @t9 @t50) (not (= tptp.vempty @t51)))) % 0.37/0.67 (assume @p18 (forall (@list @t9) (not (= tptp.vnoType @t55)))) % 0.37/0.67 (assume @p19 (forall (@list @t57) (=> (= @t57 tptp.vnoType) (not @t58)))) % 0.37/0.67 (assume @p20 (forall (@list @t21 @t57) (=> @t59 @t58))) % 0.37/0.67 (assume @p21 (forall (@list @t57 @t60 @t21) (=> @t59 (=> (= @t60 (tptp.vgetSomeType @t57)) @t61)))) % 0.37/0.67 (assume @p22 (forall (@list @t23 @t2 @t50 @t60) (=> (and @t66 @t65) (=> @t64 @t62)))) % 0.37/0.67 (assume @p23 (forall (@list @t71 @t23 @t69 @t2 @t50 @t60 @t67) (=> @t74 (=> @t70 (=> @t64 @t68))))) % 0.37/0.67 (assume @p24 (forall (@list @t67 @t69 @t2 @t50 @t60 @t23 @t71) (=> @t74 (=> @t77 (=> @t64 @t76))))) % 0.37/0.67 (assume @p25 (forall (@list @t2 @t50 @t60) (=> (= @t63 @t60) (or (exists @t78 (and @t66 @t65 @t62)) (exists (@list @t71 @t23 @t69 @t67) (and @t66 @t73 @t70 @t68)) (exists (@list @t67 @t69 @t23 @t71) (and @t66 @t73 @t77 @t76)))))) % 0.37/0.67 (assume @p26 (forall @t82 (=> (and @t70 @t81) (tptp.vtcheck @t80 @t21 @t41)))) % 0.37/0.67 (assume @p27 (forall @t82 (=> (and @t77 @t81) (tptp.vtcheck (tptp.vbind @t69 @t67 @t80) @t21 @t41)))) % 0.37/0.67 (assume @p28 (forall (@list @t33 @t21) (=> (= (tptp.vgensym @t21) @t33) @t83))) % 0.37/0.67 (assume @p29 (forall (@list @t23 @t69 @t2 @t8 @t6 @t60 @t21) (=> @t89 (=> @t70 (=> @t85 @t61))))) % 0.37/0.67 (assume @p30 (forall (@list @t21 @t23 @t2 @t8 @t6 @t60 @t69) (=> @t89 (=> @t77 (=> @t85 @t90))))) % 0.37/0.67 (assume @p31 (forall (@list @t2 @t8 @t6 @t60 @t30 @t23 @t21 @t29) (=> (and @t66 @t88 @t93) (=> @t85 @t92)))) % 0.37/0.67 (assume @p32 (forall (@list @t21 @t23 @t2 @t8 @t6 @t60 @t69 @t41 @t30) (=> @t97 (=> @t70 (=> @t85 @t95))))) % 0.37/0.67 (assume @p33 (forall (@list @t2 @t8 @t6 @t60 @t23 @t21 @t41 @t69 @t98 @t30) (=> @t97 (=> (and @t77 @t101 @t100) (=> @t85 @t99))))) % 0.37/0.67 (assume @p34 (forall (@list @t2 @t8 @t6 @t60 @t69 @t41 @t23 @t21 @t30) (=> @t97 (=> (and @t77 @t103) (=> @t85 @t102))))) % 0.37/0.67 (assume @p35 (forall (@list @t2 @t8 @t6 @t60) (=> (= @t84 @t60) (or (exists (@list @t23 @t69 @t21) (and @t66 @t88 @t87 @t70 @t61)) (exists (@list @t21 @t23 @t69) (and @t66 @t88 @t87 @t77 @t90)) (exists (@list @t30 @t23 @t21 @t29) (and @t66 @t88 @t93 @t92)) (exists (@list @t21 @t23 @t69 @t41 @t30) (and @t66 @t88 @t96 @t70 @t95)) (exists (@list @t23 @t21 @t41 @t69 @t98 @t30) (and @t66 @t88 @t96 @t77 @t101 @t100 @t99)) (exists (@list @t69 @t41 @t23 @t21 @t30) (and @t66 @t88 @t96 @t77 @t103 @t102)))))) % 0.37/0.67 (assume @p36 (and (=> @t104 true) (=> true @t104))) % 0.37/0.67 (assume @p37 (forall (@list @t8 @t6) (and (=> @t106 @t12) (=> @t12 @t106)))) % 0.37/0.67 (assume @p38 (forall @t107 (not (= tptp.vnoExp @t105)))) % 0.37/0.67 (assume @p39 (forall (@list @t108) (=> (= @t108 tptp.vnoExp) (not @t109)))) % 0.37/0.67 (assume @p40 (forall (@list @t21 @t108) (=> @t110 @t109))) % 0.37/0.67 (assume @p41 (forall (@list @t108 @t60 @t21) (=> @t110 (=> (= @t60 (tptp.vgetSomeExp @t108)) @t61)))) % 0.37/0.67 (assume @p42 (forall (@list @t23 @t8 @t60) (=> @t28 @t114))) % 0.37/0.67 (assume @p43 (forall (@list @t23 @t22 @t21 @t8 @t60) (=> @t25 @t114))) % 0.37/0.67 (assume @p44 (forall (@list @t29 @t8 @t60 @t23 @t22 @t30 @t115) (=> @t120 (=> (and @t119 @t118) (=> @t113 @t117))))) % 0.37/0.67 (assume @p45 (forall (@list @t22 @t115 @t8 @t60 @t23 @t29 @t30) (=> @t120 (=> (and @t119 @t123 @t122) (=> @t113 @t121))))) % 0.37/0.67 (assume @p46 (forall (@list @t23 @t22 @t30 @t115 @t29 @t8 @t60) (=> @t120 (=> (and @t119 @t123 @t124) @t114)))) % 0.37/0.67 (assume @p47 (forall (@list @t30 @t8 @t60 @t125 @t29) (=> @t133 (=> (and @t128 @t127) (=> @t113 @t126))))) % 0.37/0.67 (assume @p48 (forall (@list @t29 @t30 @t125 @t8 @t60) (=> @t133 (=> (and @t128 @t134) @t114)))) % 0.37/0.67 (assume @p49 (forall (@list @t8 @t60) (=> (= @t112 @t60) (or (exists @t78 (and @t28 @t111)) (exists (@list @t23 @t22 @t21) (and @t25 @t111)) (exists (@list @t29 @t23 @t22 @t30 @t115) (and @t120 @t119 @t118 @t117)) (exists (@list @t22 @t115 @t23 @t29 @t30) (and @t120 @t119 @t123 @t122 @t121)) (exists (@list @t23 @t22 @t30 @t115 @t29) (and @t120 @t119 @t123 @t124 @t111)) (exists (@list @t30 @t125 @t29) (and @t32 @t132 @t128 @t127 @t126)) (exists (@list @t29 @t30 @t125) (and @t32 @t132 @t128 @t134 @t111)))))) % 0.37/0.67 (assume @p50 (forall (@list @t9 @t7 @t136 @t135) (and (=> @t137 @t138) (=> @t138 @t137)))) % 0.37/0.67 (assume @p51 (forall (@list @t71 @t23 @t41) (=> @t139 (tptp.vtcheck @t71 @t27 @t41)))) % 0.37/0.67 (assume @p52 (forall (@list @t71 @t23 @t21 @t22 @t41) (=> @t142 (tptp.vtcheck @t71 @t24 @t140)))) % 0.37/0.67 (assume @p53 (forall (@list @t22 @t71 @t30 @t29 @t41) (=> (and @t144 @t143) (tptp.vtcheck @t71 @t31 @t41)))) % 0.37/0.67 (assume @p54 (forall (@list @t21 @t41 @t71) (=> @t147 (or (exists @t78 (and (= @t21 @t27) @t139)) (exists (@list @t23 @t29 @t146 @t145) (and (= @t21 (tptp.vabs @t23 @t146 @t29)) (= @t41 (tptp.varrow @t146 @t145)) (tptp.vtcheck (tptp.vbind @t23 @t146 @t71) @t29 @t145))) (exists (@list @t30 @t29 @t22) (and (= @t21 @t31) @t144 @t143)))))) % 0.37/0.67 (assume @p55 (forall @t148 (=> (and (= @t75 tptp.vnoType) @t147) @t142))) % 0.37/0.67 (assume @p56 (forall @t148 (=> (and (not (tptp.visFreeVar @t23 @t21)) @t142) @t147))) % 0.37/0.67 (assume @p57 (forall (@list @t23 @t22 @t71 @t41) (=> (and (not (tptp.visFreeVar @t23 tptp.veabs)) (tptp.vtcheck @t71 tptp.veabs @t41)) (tptp.vtcheck @t141 tptp.veabs @t41)))) % 0.37/0.67 (assume @p58 @t157) % 0.37/0.67 (assume @p59 @t159) % 0.37/0.67 (assume @p60 @t162) % 0.37/0.67 (assume @p61 true) % 0.37/0.67 (step @p62 :rule aci_norm :args ((= (and @t178 (and @t173 @t167)) (and @t178 @t173 @t167)))) % 0.37/0.67 (step @p63 :rule refl :args (@t167)) % 0.37/0.67 (step @p64 :rule aci_norm :args ((= (or false @t171) @t171))) % 0.37/0.67 (step @p65 :rule refl :args (@t171)) % 0.37/0.67 (step @p66 :rule evaluate :args ((not true))) % 0.37/0.67 (step @p67 :rule eq-refl :args (@t170)) % 0.37/0.67 (step @p68 :rule cong :premises (@p67) :args (@t179)) % 0.37/0.67 (step @p69 :rule trans :premises (@p68 @p66)) % 0.37/0.67 (step @p70 :rule nary_cong :premises (@p69 @p65) :args (@t180)) % 0.37/0.67 (step @p71 :rule trans :premises (@p70 @p64)) % 0.37/0.67 (step @p72 :rule cong :premises (@p71) :args ((forall @t172 @t180))) % 0.37/0.67 (step @p73 :rule quant-var-elim-eq :args ((= (forall @t185 @t184) @t180))) % 0.37/0.67 (step @p74 :rule aci_norm :args ((= @t186 @t184))) % 0.37/0.67 (step @p75 :rule cong :premises (@p74) :args (@t187)) % 0.37/0.67 (step @p76 :rule trans :premises (@p75 @p73)) % 0.37/0.67 (step @p77 :rule cong :premises (@p76) :args (@t188)) % 0.37/0.67 (step @p78 :rule quant-merge-prenex :args ((= @t188 @t189))) % 0.37/0.67 (step @p79 :rule symm :premises (@p78)) % 0.37/0.67 (step @p80 :rule quant_var_reordering :args ((= @t190 @t189))) % 0.37/0.67 (step @p81 :rule trans :premises (@p80 @p79 @p77)) % 0.37/0.67 (step @p82 :rule trans :premises (@p81 @p72)) % 0.37/0.67 (step @p83 :rule nary_cong :premises (@p82 @p63) :args ((and @t190 @t167))) % 0.37/0.67 (step @p84 :rule alpha_equiv :args (@t199 @t200 (@list @t164 @t165 @t166 @t163))) % 0.37/0.67 (step @p85 :rule alpha_equiv :args (@t203 @t200 (@list @t169 @t181 @t170 @t168))) % 0.37/0.67 (step @p86 :rule nary_cong :premises (@p85 @p84) :args (@t204)) % 0.37/0.67 (step @p87 :rule quant-miniscope-and :args ((= (forall @t198 (and @t202 @t197)) @t204))) % 0.37/0.67 (step @p88 :rule trans :premises (@p87 @p86)) % 0.37/0.67 (step @p89 :rule trans :premises (@p88 @p83)) % 0.37/0.67 (step @p90 :rule bool-or-and-distrib :args (@t201 @t196 true @t195 false)) % 0.37/0.67 (step @p91 :rule cong :premises (@p90) :args ((forall @t198 @t206))) % 0.37/0.67 (step @p92 :rule trans :premises (@p91 @p89)) % 0.37/0.67 (step @p93 :rule aci_norm :args ((= @t207 @t206))) % 0.37/0.67 (step @p94 :rule cong :premises (@p93) :args (@t208)) % 0.37/0.67 (step @p95 :rule trans :premises (@p94 @p92)) % 0.37/0.67 (step @p96 :rule refl :args (@t178)) % 0.37/0.67 (step @p97 :rule nary_cong :premises (@p96 @p95) :args ((and @t178 @t208))) % 0.37/0.67 (step @p98 :rule trans :premises (@p97 @p62)) % 0.37/0.67 (step @p99 :rule alpha_equiv :args (@t212 @t213 @t200)) % 0.37/0.67 (step @p100 :rule alpha_equiv :args (@t215 @t213 (@list @t175 @t176 @t177 @t174))) % 0.37/0.67 (step @p101 :rule nary_cong :premises (@p100 @p99) :args (@t216)) % 0.37/0.67 (step @p102 :rule quant-miniscope-and :args ((= (forall @t211 @t217) @t216))) % 0.37/0.67 (step @p103 :rule trans :premises (@p102 @p101)) % 0.37/0.67 (step @p104 :rule trans :premises (@p103 @p98)) % 0.37/0.67 (step @p105 :rule aci_norm :args ((= (or false @t217) @t217))) % 0.37/0.67 (step @p106 :rule refl :args (@t217)) % 0.37/0.67 (step @p107 :rule eq-refl :args (@t42)) % 0.37/0.67 (step @p108 :rule cong :premises (@p107) :args (@t218)) % 0.37/0.67 (step @p109 :rule trans :premises (@p108 @p66)) % 0.37/0.67 (step @p110 :rule nary_cong :premises (@p109 @p106) :args (@t219)) % 0.37/0.67 (step @p111 :rule trans :premises (@p110 @p105)) % 0.37/0.67 (step @p112 :rule cong :premises (@p111) :args ((forall @t211 @t219))) % 0.37/0.67 (step @p113 :rule trans :premises (@p112 @p104)) % 0.37/0.67 (step @p114 :rule quant-var-elim-eq :args ((= (forall @t107 @t223) @t219))) % 0.37/0.67 (step @p115 :rule aci_norm :args ((= @t224 @t223))) % 0.37/0.67 (step @p116 :rule cong :premises (@p115) :args (@t225)) % 0.37/0.67 (step @p117 :rule trans :premises (@p116 @p114)) % 0.37/0.67 (step @p118 :rule cong :premises (@p117) :args (@t226)) % 0.37/0.67 (step @p119 :rule quant-merge-prenex :args ((= @t226 @t227))) % 0.37/0.67 (step @p120 :rule symm :premises (@p119)) % 0.37/0.67 (step @p121 :rule quant_var_reordering :args ((= (forall @t228 @t224) @t227))) % 0.37/0.67 (step @p122 :rule trans :premises (@p121 @p120 @p118)) % 0.37/0.67 (step @p123 :rule trans :premises (@p122 @p113)) % 0.37/0.67 (step @p124 :rule aci_norm :args ((= (or false @t222 @t221) @t224))) % 0.37/0.67 (step @p125 :rule refl :args (@t221)) % 0.37/0.67 (step @p126 :rule refl :args (@t222)) % 0.37/0.67 (step @p127 :rule eq-refl :args (@t33)) % 0.37/0.67 (step @p128 :rule cong :premises (@p127) :args (@t229)) % 0.37/0.67 (step @p129 :rule trans :premises (@p128 @p66)) % 0.37/0.67 (step @p130 :rule nary_cong :premises (@p129 @p126 @p125) :args (@t230)) % 0.37/0.67 (step @p131 :rule trans :premises (@p130 @p124)) % 0.37/0.67 (step @p132 :rule cong :premises (@p131) :args ((forall @t228 @t230))) % 0.37/0.67 (step @p133 :rule trans :premises (@p132 @p123)) % 0.37/0.67 (step @p134 :rule quant-var-elim-eq :args ((= (forall @t235 @t234) @t230))) % 0.37/0.67 (step @p135 :rule aci_norm :args ((= @t236 @t234))) % 0.37/0.67 (step @p136 :rule cong :premises (@p135) :args (@t237)) % 0.37/0.67 (step @p137 :rule trans :premises (@p136 @p134)) % 0.37/0.67 (step @p138 :rule cong :premises (@p137) :args (@t238)) % 0.37/0.67 (step @p139 :rule quant-merge-prenex :args ((= @t238 @t239))) % 0.37/0.67 (step @p140 :rule symm :premises (@p139)) % 0.37/0.67 (step @p141 :rule quant_var_reordering :args ((= (forall @t45 @t236) @t239))) % 0.37/0.67 (step @p142 :rule trans :premises (@p141 @p140 @p138)) % 0.37/0.67 (step @p143 :rule trans :premises (@p142 @p133)) % 0.37/0.67 (step @p144 :rule aci_norm :args ((= (or (or @t233 @t222) @t232) @t236))) % 0.37/0.67 (step @p145 :rule bool-impl-elim :args (@t35 @t39)) % 0.37/0.67 (step @p146 :rule aci_norm :args ((= (or (or @t34 @t83) @t35) @t231))) % 0.37/0.67 (step @p147 :rule refl :args (@t35)) % 0.37/0.67 (step @p148 :rule refl :args (@t83)) % 0.37/0.67 (step @p149 :rule bool-double-not-elim :args (@t34)) % 0.37/0.67 (step @p150 :rule nary_cong :premises (@p149 @p148) :args ((or (not @t38) @t83))) % 0.37/0.67 (step @p151 :rule bool-and-de-morgan :args (@t38 @t37 true)) % 0.37/0.67 (step @p152 :rule trans :premises (@p151 @p150)) % 0.37/0.67 (step @p153 :rule nary_cong :premises (@p152 @p147) :args ((or (not @t39) @t35))) % 0.37/0.67 (step @p154 :rule trans :premises (@p153 @p146)) % 0.37/0.67 (step @p155 :rule bool-impl-elim :args (@t39 @t35)) % 0.37/0.67 (step @p156 :rule trans :premises (@p155 @p154)) % 0.37/0.67 (step @p157 :rule nary_cong :premises (@p156 @p145) :args (@t40)) % 0.37/0.67 (step @p158 :rule bool-and-de-morgan :args (@t36 @t43 true)) % 0.37/0.67 (step @p159 :rule nary_cong :premises (@p158 @p157) :args ((or (not @t44) @t40))) % 0.37/0.67 (step @p160 :rule trans :premises (@p159 @p144)) % 0.37/0.67 (step @p161 :rule bool-impl-elim :args (@t44 @t40)) % 0.37/0.67 (step @p162 :rule trans :premises (@p161 @p160)) % 0.37/0.67 (step @p163 :rule cong :premises (@p162) :args (@t46)) % 0.37/0.67 (step @p164 :rule trans :premises (@p163 @p143)) % 0.37/0.67 (step @p165 :rule eq_resolve :premises (@p11 @p164)) % 0.37/0.67 (step @p166 :rule and_elim :premises (@p165) :args (1)) % 0.37/0.67 (step @p167 :rule instantiate :premises (@p166) :args ((@list @t244 @t243 tptp.veabs))) % 0.37/0.67 (step @p168 :rule false_intro :premises (@p167)) % 0.37/0.67 (step @p169 :rule refl :args (tptp.veabs)) % 0.37/0.67 (step @p170 :rule refl :args (@t244)) % 0.37/0.67 (step @p171 :rule aci_norm :args ((= (or (or @t70 @t153 @t240) @t151) (or @t70 @t153 @t240 @t151)))) % 0.37/0.67 (step @p172 :rule refl :args (@t151)) % 0.37/0.67 (step @p173 :rule refl :args (@t240)) % 0.37/0.67 (step @p174 :rule bool-double-not-elim :args (@t153)) % 0.37/0.67 (step @p175 :rule bool-double-not-elim :args (@t70)) % 0.37/0.67 (step @p176 :rule nary_cong :premises (@p175 @p174 @p173) :args (@t247)) % 0.37/0.67 (step @p177 :rule aci_norm :args ((= (or @t246 @t248) @t247))) % 0.37/0.67 (step @p178 :rule trans :premises (@p177 @p176)) % 0.37/0.67 (step @p179 :rule bool-and-de-morgan :args (@t154 @t152 true)) % 0.37/0.67 (step @p180 :rule refl :args (@t246)) % 0.37/0.67 (step @p181 :rule nary_cong :premises (@p180 @p179) :args ((or @t246 @t249))) % 0.37/0.67 (step @p182 :rule bool-and-de-morgan :args (@t77 @t154 (and @t152))) % 0.37/0.67 (step @p183 :rule trans :premises (@p182 @p181)) % 0.37/0.67 (step @p184 :rule trans :premises (@p183 @p178)) % 0.37/0.67 (step @p185 :rule nary_cong :premises (@p184 @p172) :args ((or (not @t155) @t151))) % 0.37/0.67 (step @p186 :rule trans :premises (@p185 @p171)) % 0.37/0.67 (step @p187 :rule bool-impl-elim :args (@t155 @t151)) % 0.37/0.67 (step @p188 :rule trans :premises (@p187 @p186)) % 0.37/0.67 (step @p189 :rule cong :premises (@p188) :args (@t157)) % 0.37/0.67 (step @p190 :rule eq_resolve :premises (@p58 @p189)) % 0.37/0.67 (step @p191 :rule instantiate :premises (@p190) :args ((@list @t253 @t252 @t251 @t243 @t244 @t250))) % 0.37/0.67 (step @p192 :rule aci_norm :args ((= (or (or @t153 @t240) @t151) @t241))) % 0.37/0.67 (step @p193 :rule nary_cong :premises (@p174 @p173) :args (@t248)) % 0.37/0.67 (step @p194 :rule trans :premises (@p179 @p193)) % 0.37/0.67 (step @p195 :rule nary_cong :premises (@p194 @p172) :args ((or @t249 @t151))) % 0.37/0.67 (step @p196 :rule trans :premises (@p195 @p192)) % 0.37/0.67 (step @p197 :rule bool-impl-elim :args (@t160 @t151)) % 0.37/0.67 (step @p198 :rule trans :premises (@p197 @p196)) % 0.37/0.67 (step @p199 :rule cong :premises (@p198) :args (@t161)) % 0.37/0.67 (step @p200 :rule cong :premises (@p199) :args (@t162)) % 0.37/0.67 (step @p201 :rule eq_resolve :premises (@p60 @p200)) % 0.37/0.67 (step @p202 :rule skolemize :premises (@p201)) % 0.37/0.67 (step @p203 :rule cnf_or_neg :args (@t260 2)) % 0.37/0.67 (step @p204 :rule chain_m_resolution :premises (@p203 @p202) :args ((not @t256) @t261 @t262)) % 0.37/0.67 (step @p205 :rule bool-double-not-elim :args (@t257)) % 0.37/0.67 (step @p206 :rule refl :args (@t260)) % 0.37/0.67 (step @p207 :rule nary_cong :premises (@p206 @p205) :args ((or @t260 (not @t258)))) % 0.37/0.67 (step @p208 :rule cnf_or_neg :args (@t260 1)) % 0.37/0.67 (step @p209 :rule eq_resolve :premises (@p208 @p207)) % 0.37/0.67 (step @p210 :rule reordering :premises (@p209) :args ((or @t257 @t260))) % 0.37/0.67 (step @p211 :rule chain_m_resolution :premises (@p210 @p202) :args (@t257 @t261 @t262)) % 0.37/0.67 (step @p212 :rule cnf_or_neg :args (@t260 0)) % 0.37/0.67 (step @p213 :rule chain_m_resolution :premises (@p212 @p202) :args ((not @t259) @t261 @t262)) % 0.37/0.67 (step @p214 :rule cnf_or_pos :args (@t264)) % 0.37/0.67 (step @p215 :rule reordering :premises (@p214) :args ((or @t259 @t258 @t256 @t263 (not @t264)))) % 0.37/0.67 (step @p216 :rule chain_m_resolution :premises (@p215 @p213 @p211 @p204 @p191) :args (@t263 (@list true false true false) (@list @t259 @t257 @t256 @t264))) % 0.37/0.67 (step @p217 :rule cong :premises (@p216 @p170 @p169) :args (@t265)) % 0.37/0.67 (step @p218 :rule cong :premises (@p216 @p217) :args (@t266)) % 0.37/0.67 (step @p219 :rule trans :premises (@p218 @p168)) % 0.37/0.67 (step @p220 :rule false_elim :premises (@p219)) % 0.37/0.67 (step @p221 :rule aci_norm :args ((= (or false @t268 @t240 @t267) (or @t268 @t240 @t267)))) % 0.37/0.67 (step @p222 :rule refl :args (@t267)) % 0.37/0.67 (step @p223 :rule refl :args (@t240)) % 0.37/0.67 (step @p224 :rule refl :args (@t268)) % 0.37/0.67 (step @p225 :rule eq-refl :args (@t69)) % 0.37/0.67 (step @p226 :rule cong :premises (@p225) :args (@t269)) % 0.37/0.67 (step @p227 :rule trans :premises (@p226 @p66)) % 0.37/0.67 (step @p228 :rule nary_cong :premises (@p227 @p224 @p223 @p222) :args (@t270)) % 0.37/0.67 (step @p229 :rule trans :premises (@p228 @p221)) % 0.37/0.67 (step @p230 :rule cong :premises (@p229) :args ((forall @t271 @t270))) % 0.37/0.67 (step @p231 :rule quant-var-elim-eq :args ((= (forall @t78 @t272) @t270))) % 0.37/0.67 (step @p232 :rule aci_norm :args ((= @t273 @t272))) % 0.37/0.67 (step @p233 :rule cong :premises (@p232) :args (@t274)) % 0.37/0.67 (step @p234 :rule trans :premises (@p233 @p231)) % 0.37/0.67 (step @p235 :rule cong :premises (@p234) :args (@t275)) % 0.37/0.67 (step @p236 :rule quant-merge-prenex :args ((= @t275 @t276))) % 0.37/0.67 (step @p237 :rule symm :premises (@p236)) % 0.37/0.67 (step @p238 :rule quant_var_reordering :args ((= (forall @t156 @t273) @t276))) % 0.37/0.67 (step @p239 :rule trans :premises (@p238 @p237 @p235)) % 0.37/0.67 (step @p240 :rule trans :premises (@p239 @p230)) % 0.37/0.67 (step @p241 :rule aci_norm :args ((= (or (or @t77 @t153 @t240) @t151) @t273))) % 0.37/0.67 (step @p242 :rule refl :args (@t77)) % 0.37/0.67 (step @p243 :rule nary_cong :premises (@p242 @p174 @p173) :args (@t277)) % 0.37/0.67 (step @p244 :rule aci_norm :args ((= (or @t77 @t248) @t277))) % 0.37/0.67 (step @p245 :rule trans :premises (@p244 @p243)) % 0.37/0.67 (step @p246 :rule nary_cong :premises (@p242 @p179) :args ((or @t77 @t249))) % 0.37/0.67 (step @p247 :rule bool-and-de-morgan :args (@t70 @t154 (and @t152))) % 0.37/0.67 (step @p248 :rule trans :premises (@p247 @p246)) % 0.37/0.67 (step @p249 :rule trans :premises (@p248 @p245)) % 0.37/0.67 (step @p250 :rule nary_cong :premises (@p249 @p172) :args ((or (not @t158) @t151))) % 0.37/0.67 (step @p251 :rule trans :premises (@p250 @p241)) % 0.37/0.67 (step @p252 :rule bool-impl-elim :args (@t158 @t151)) % 0.37/0.67 (step @p253 :rule trans :premises (@p252 @p251)) % 0.37/0.67 (step @p254 :rule cong :premises (@p253) :args (@t159)) % 0.37/0.67 (step @p255 :rule trans :premises (@p254 @p240)) % 0.37/0.67 (step @p256 :rule eq_resolve :premises (@p59 @p255)) % 0.37/0.67 (step @p257 :rule instantiate :premises (@p256) :args ((@list @t252 @t251 @t253 @t244 @t250))) % 0.37/0.67 (step @p258 :rule false_intro :premises (@p204)) % 0.37/0.67 (step @p259 :rule refl :args (@t250)) % 0.37/0.67 (step @p260 :rule refl :args (@t255)) % 0.37/0.67 (step @p261 :rule cong :premises (@p260 @p217 @p259) :args (@t278)) % 0.37/0.67 (step @p262 :rule trans :premises (@p261 @p258)) % 0.37/0.67 (step @p263 :rule false_elim :premises (@p262)) % 0.37/0.67 (step @p264 :rule true_intro :premises (@p211)) % 0.37/0.67 (step @p265 :rule refl :args (@t251)) % 0.37/0.67 (step @p266 :rule cong :premises (@p265 @p217 @p259) :args (@t279)) % 0.37/0.67 (step @p267 :rule trans :premises (@p266 @p264)) % 0.37/0.67 (step @p268 :rule true_elim :premises (@p267)) % 0.37/0.67 (step @p269 :rule cnf_or_pos :args (@t281)) % 0.37/0.67 (step @p270 :rule reordering :premises (@p269) :args ((or @t266 @t280 @t278 (not @t281)))) % 0.37/0.67 (step @p271 false :rule chain_m_resolution :premises (@p270 @p268 @p263 @p257 @p220) :args (false (@list false true false true) (@list @t279 @t278 @t281 @t266))) % 0.37/0.67 ) % 0.37/0.67 % SZS output end Proof % 0.37/0.67 % cvc5 exiting %------------------------------------------------------------------------------