%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COM127+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 : n014.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 0.45s 0.65s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : COM127+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 % 0.16/0.33 % Computer : n014.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Mon Jun 1 20:30:43 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.45/0.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.65 % SZS status Theorem % 0.45/0.65 % SZS output start Proof % 0.45/0.65 ( % 0.45/0.65 (declare-sort $$unsorted 0) % 0.45/0.65 (declare-const tptp.varrow (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.vgetSomeExp (-> $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.vsomeExp (-> $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.vnoExp $$unsorted) % 0.45/0.65 (declare-const tptp.vsubst (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.vgensym (-> $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.vapp (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.visValue (-> $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.vempty $$unsorted) % 0.45/0.65 (declare-const tptp.vbind (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.vnoType $$unsorted) % 0.45/0.65 (declare-const tptp.visFreeVar (-> $$unsorted $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.vtcheck (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.vsomeType (-> $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.visSomeExp (-> $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.vvar (-> $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.vlookup (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.vabs (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.visSomeType (-> $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.vreduce (-> $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.vgetSomeType (-> $$unsorted $$unsorted)) % 0.45/0.65 (define @t1 () (@var "VVar1" $$unsorted)) % 0.45/0.65 (define @t2 () (@var "VVar0" $$unsorted)) % 0.45/0.65 (define @t3 () (tptp.vvar @t2)) % 0.45/0.65 (define @t4 () (= @t3 (tptp.vvar @t1))) % 0.45/0.65 (define @t5 () (= @t2 @t1)) % 0.45/0.65 (define @t6 () (and (=> @t4 @t5) (=> @t5 @t4))) % 0.45/0.65 (define @t7 () (@list @t2 @t1)) % 0.45/0.65 (define @t8 () (forall @t7 @t6)) % 0.45/0.65 (define @t9 () (@var "VExp1" $$unsorted)) % 0.45/0.65 (define @t10 () (@var "VTyp1" $$unsorted)) % 0.45/0.65 (define @t11 () (@var "VExp0" $$unsorted)) % 0.45/0.65 (define @t12 () (@var "VTyp0" $$unsorted)) % 0.45/0.65 (define @t13 () (tptp.vabs @t2 @t12 @t11)) % 0.45/0.65 (define @t14 () (= @t13 (tptp.vabs @t1 @t10 @t9))) % 0.45/0.65 (define @t15 () (= @t11 @t9)) % 0.45/0.65 (define @t16 () (= @t12 @t10)) % 0.45/0.65 (define @t17 () (and @t5 @t16 @t15)) % 0.45/0.65 (define @t18 () (@var "VExp3" $$unsorted)) % 0.45/0.65 (define @t19 () (@var "VExp2" $$unsorted)) % 0.45/0.65 (define @t20 () (tptp.vapp @t11 @t9)) % 0.45/0.65 (define @t21 () (= @t20 (tptp.vapp @t19 @t18))) % 0.45/0.65 (define @t22 () (and (= @t11 @t19) (= @t9 @t18))) % 0.45/0.65 (define @t23 () (tptp.visValue @t11)) % 0.45/0.65 (define @t24 () (@var "Ve" $$unsorted)) % 0.45/0.65 (define @t25 () (@var "VS" $$unsorted)) % 0.45/0.65 (define @t26 () (@var "Vx" $$unsorted)) % 0.45/0.65 (define @t27 () (tptp.vabs @t26 @t25 @t24)) % 0.45/0.65 (define @t28 () (= @t11 @t27)) % 0.45/0.65 (define @t29 () (not @t23)) % 0.45/0.65 (define @t30 () (tptp.vvar @t26)) % 0.45/0.65 (define @t31 () (= @t11 @t30)) % 0.45/0.65 (define @t32 () (@var "Ve2" $$unsorted)) % 0.45/0.65 (define @t33 () (@var "Ve1" $$unsorted)) % 0.45/0.65 (define @t34 () (tptp.vapp @t33 @t32)) % 0.45/0.65 (define @t35 () (= @t11 @t34)) % 0.45/0.65 (define @t36 () (@var "Vv" $$unsorted)) % 0.45/0.65 (define @t37 () (= @t26 @t36)) % 0.45/0.65 (define @t38 () (tptp.visFreeVar @t2 @t11)) % 0.45/0.65 (define @t39 () (and (=> @t37 @t38) (=> @t38 @t37))) % 0.45/0.65 (define @t40 () (= @t2 @t36)) % 0.45/0.65 (define @t41 () (and @t40 @t31)) % 0.45/0.65 (define @t42 () (@list @t2 @t11 @t26 @t36)) % 0.45/0.65 (define @t43 () (forall @t42 (=> @t41 @t39))) % 0.45/0.65 (define @t44 () (tptp.visFreeVar @t36 @t24)) % 0.45/0.65 (define @t45 () (not @t37)) % 0.45/0.65 (define @t46 () (and @t45 @t44)) % 0.45/0.65 (define @t47 () (@var "VT" $$unsorted)) % 0.45/0.65 (define @t48 () (or (tptp.visFreeVar @t36 @t33) (tptp.visFreeVar @t36 @t32))) % 0.45/0.65 (define @t49 () (= tptp.vempty tptp.vempty)) % 0.45/0.65 (define @t50 () (@var "VCtx1" $$unsorted)) % 0.45/0.65 (define @t51 () (@var "VCtx0" $$unsorted)) % 0.45/0.65 (define @t52 () (tptp.vbind @t2 @t12 @t51)) % 0.45/0.65 (define @t53 () (= @t52 (tptp.vbind @t1 @t10 @t50))) % 0.45/0.65 (define @t54 () (and @t5 @t16 (= @t51 @t50))) % 0.45/0.65 (define @t55 () (= tptp.vnoType tptp.vnoType)) % 0.45/0.65 (define @t56 () (tptp.vsomeType @t12)) % 0.45/0.65 (define @t57 () (= @t56 (tptp.vsomeType @t10))) % 0.45/0.65 (define @t58 () (@var "VOptTyp0" $$unsorted)) % 0.45/0.65 (define @t59 () (tptp.visSomeType @t58)) % 0.45/0.65 (define @t60 () (= @t58 (tptp.vsomeType @t24))) % 0.45/0.65 (define @t61 () (@var "RESULT" $$unsorted)) % 0.45/0.65 (define @t62 () (= @t61 @t24)) % 0.45/0.65 (define @t63 () (= @t61 tptp.vnoType)) % 0.45/0.65 (define @t64 () (tptp.vlookup @t2 @t51)) % 0.45/0.65 (define @t65 () (= @t61 @t64)) % 0.45/0.65 (define @t66 () (= @t51 tptp.vempty)) % 0.45/0.65 (define @t67 () (= @t2 @t26)) % 0.45/0.65 (define @t68 () (@var "VTy" $$unsorted)) % 0.45/0.65 (define @t69 () (= @t61 (tptp.vsomeType @t68))) % 0.45/0.65 (define @t70 () (@var "Vy" $$unsorted)) % 0.45/0.65 (define @t71 () (= @t26 @t70)) % 0.45/0.65 (define @t72 () (@var "VC" $$unsorted)) % 0.45/0.65 (define @t73 () (tptp.vbind @t70 @t68 @t72)) % 0.45/0.65 (define @t74 () (= @t51 @t73)) % 0.45/0.65 (define @t75 () (and @t67 @t74)) % 0.45/0.65 (define @t76 () (tptp.vlookup @t26 @t72)) % 0.45/0.65 (define @t77 () (= @t61 @t76)) % 0.45/0.65 (define @t78 () (=> @t65 @t77)) % 0.45/0.65 (define @t79 () (not @t71)) % 0.45/0.65 (define @t80 () (=> @t79 @t78)) % 0.45/0.65 (define @t81 () (@list @t68 @t70 @t2 @t51 @t61 @t26 @t72)) % 0.45/0.65 (define @t82 () (forall @t81 (=> @t75 @t80))) % 0.45/0.65 (define @t83 () (@list @t68 @t70 @t26 @t72)) % 0.45/0.65 (define @t84 () (@list @t26)) % 0.45/0.65 (define @t85 () (@var "VTx" $$unsorted)) % 0.45/0.65 (define @t86 () (tptp.vbind @t26 @t85 @t72)) % 0.45/0.65 (define @t87 () (tptp.vtcheck (tptp.vbind @t26 @t85 @t73) @t24 @t47)) % 0.45/0.65 (define @t88 () (@list @t70 @t68 @t26 @t85 @t72 @t24 @t47)) % 0.45/0.65 (define @t89 () (tptp.vsubst @t2 @t11 @t9)) % 0.45/0.65 (define @t90 () (= @t61 @t89)) % 0.45/0.65 (define @t91 () (tptp.vvar @t70)) % 0.45/0.65 (define @t92 () (= @t9 @t91)) % 0.45/0.65 (define @t93 () (= @t11 @t24)) % 0.45/0.65 (define @t94 () (and @t67 @t93 @t92)) % 0.45/0.65 (define @t95 () (= @t61 @t91)) % 0.45/0.65 (define @t96 () (tptp.vsubst @t26 @t24 @t33)) % 0.45/0.65 (define @t97 () (= @t61 (tptp.vapp @t96 (tptp.vsubst @t26 @t24 @t32)))) % 0.45/0.65 (define @t98 () (= @t9 @t34)) % 0.45/0.65 (define @t99 () (tptp.vabs @t70 @t47 @t33)) % 0.45/0.65 (define @t100 () (= @t61 @t99)) % 0.45/0.65 (define @t101 () (= @t9 @t99)) % 0.45/0.65 (define @t102 () (and @t67 @t93 @t101)) % 0.45/0.65 (define @t103 () (@var "Vfresh" $$unsorted)) % 0.45/0.65 (define @t104 () (= @t61 (tptp.vsubst @t26 @t24 (tptp.vabs @t103 @t47 (tptp.vsubst @t70 (tptp.vvar @t103) @t33))))) % 0.45/0.65 (define @t105 () (= @t103 (tptp.vgensym (tptp.vapp (tptp.vapp @t24 @t33) @t30)))) % 0.45/0.65 (define @t106 () (tptp.visFreeVar @t70 @t24)) % 0.45/0.65 (define @t107 () (= @t61 (tptp.vabs @t70 @t47 @t96))) % 0.45/0.65 (define @t108 () (not @t106)) % 0.45/0.65 (define @t109 () (= tptp.vnoExp tptp.vnoExp)) % 0.45/0.65 (define @t110 () (tptp.vsomeExp @t11)) % 0.45/0.65 (define @t111 () (= @t110 (tptp.vsomeExp @t9))) % 0.45/0.65 (define @t112 () (@list @t11)) % 0.45/0.65 (define @t113 () (@var "VOptExp0" $$unsorted)) % 0.45/0.65 (define @t114 () (tptp.visSomeExp @t113)) % 0.45/0.65 (define @t115 () (= @t113 (tptp.vsomeExp @t24))) % 0.45/0.65 (define @t116 () (= @t61 tptp.vnoExp)) % 0.45/0.65 (define @t117 () (tptp.vreduce @t11)) % 0.45/0.65 (define @t118 () (= @t61 @t117)) % 0.45/0.65 (define @t119 () (=> @t118 @t116)) % 0.45/0.65 (define @t120 () (@var "Ve2red" $$unsorted)) % 0.45/0.65 (define @t121 () (tptp.vabs @t26 @t25 @t33)) % 0.45/0.65 (define @t122 () (= @t61 (tptp.vsomeExp (tptp.vapp @t121 (tptp.vgetSomeExp @t120))))) % 0.45/0.65 (define @t123 () (tptp.visSomeExp @t120)) % 0.45/0.65 (define @t124 () (= @t120 (tptp.vreduce @t32))) % 0.45/0.65 (define @t125 () (= @t11 (tptp.vapp @t121 @t32))) % 0.45/0.65 (define @t126 () (= @t61 (tptp.vsomeExp (tptp.vsubst @t26 @t32 @t33)))) % 0.45/0.65 (define @t127 () (tptp.visValue @t32)) % 0.45/0.65 (define @t128 () (not @t123)) % 0.45/0.65 (define @t129 () (not @t127)) % 0.45/0.65 (define @t130 () (@var "Ve1red" $$unsorted)) % 0.45/0.65 (define @t131 () (= @t61 (tptp.vsomeExp (tptp.vapp (tptp.vgetSomeExp @t130) @t32)))) % 0.45/0.65 (define @t132 () (tptp.visSomeExp @t130)) % 0.45/0.65 (define @t133 () (= @t130 (tptp.vreduce @t33))) % 0.45/0.65 (define @t134 () (@var "VVe10" $$unsorted)) % 0.45/0.65 (define @t135 () (@var "VVS0" $$unsorted)) % 0.45/0.65 (define @t136 () (@var "VVx0" $$unsorted)) % 0.45/0.65 (define @t137 () (forall (@list @t136 @t135 @t134) (not (= @t33 (tptp.vabs @t136 @t135 @t134))))) % 0.45/0.65 (define @t138 () (and @t35 @t137)) % 0.45/0.65 (define @t139 () (not @t132)) % 0.45/0.65 (define @t140 () (@var "VTyp3" $$unsorted)) % 0.45/0.65 (define @t141 () (@var "VTyp2" $$unsorted)) % 0.45/0.65 (define @t142 () (= (tptp.varrow @t12 @t10) (tptp.varrow @t141 @t140))) % 0.45/0.65 (define @t143 () (and (= @t12 @t141) (= @t10 @t140))) % 0.45/0.65 (define @t144 () (tptp.vtcheck @t72 @t30 @t47)) % 0.45/0.65 (define @t145 () (= @t76 (tptp.vsomeType @t47))) % 0.45/0.65 (define @t146 () (forall (@list @t72 @t26 @t47) (=> @t145 @t144))) % 0.45/0.65 (define @t147 () (tptp.varrow @t25 @t47)) % 0.45/0.65 (define @t148 () (tptp.vbind @t26 @t25 @t72)) % 0.45/0.65 (define @t149 () (tptp.vtcheck @t148 @t24 @t47)) % 0.45/0.65 (define @t150 () (tptp.vtcheck @t72 @t32 @t25)) % 0.45/0.65 (define @t151 () (tptp.vtcheck @t72 @t33 @t147)) % 0.45/0.65 (define @t152 () (and @t151 @t150)) % 0.45/0.65 (define @t153 () (= @t24 @t34)) % 0.45/0.65 (define @t154 () (and @t153 @t151 @t150)) % 0.45/0.65 (define @t155 () (@list @t33 @t32 @t25)) % 0.45/0.65 (define @t156 () (exists @t155 @t154)) % 0.45/0.65 (define @t157 () (@var "VT2" $$unsorted)) % 0.45/0.65 (define @t158 () (@var "VT1" $$unsorted)) % 0.45/0.65 (define @t159 () (tptp.vtcheck (tptp.vbind @t26 @t158 @t72) @t32 @t157)) % 0.45/0.65 (define @t160 () (tptp.varrow @t158 @t157)) % 0.45/0.65 (define @t161 () (= @t47 @t160)) % 0.45/0.65 (define @t162 () (tptp.vabs @t26 @t158 @t32)) % 0.45/0.65 (define @t163 () (= @t24 @t162)) % 0.45/0.65 (define @t164 () (and @t163 @t161 @t159)) % 0.45/0.65 (define @t165 () (@list @t26 @t32 @t158 @t157)) % 0.45/0.65 (define @t166 () (exists @t165 @t164)) % 0.45/0.65 (define @t167 () (= @t24 @t30)) % 0.45/0.65 (define @t168 () (and @t167 @t145)) % 0.45/0.65 (define @t169 () (exists @t84 @t168)) % 0.45/0.65 (define @t170 () (or @t169 @t166 @t156)) % 0.45/0.65 (define @t171 () (tptp.vtcheck @t72 @t24 @t47)) % 0.45/0.65 (define @t172 () (=> @t171 @t170)) % 0.45/0.65 (define @t173 () (@list @t24 @t47 @t72)) % 0.45/0.65 (define @t174 () (forall @t173 @t172)) % 0.45/0.65 (define @t175 () (@list @t26 @t25 @t72 @t24 @t47)) % 0.45/0.65 (define @t176 () (tptp.vtcheck @t148 @t91 @t47)) % 0.45/0.65 (define @t177 () (tptp.vtcheck @t72 @t91 @t47)) % 0.45/0.65 (define @t178 () (tptp.visFreeVar @t26 @t91)) % 0.45/0.65 (define @t179 () (not @t178)) % 0.45/0.65 (define @t180 () (and @t179 @t177)) % 0.45/0.65 (define @t181 () (@list @t26 @t25 @t72 @t70 @t47)) % 0.45/0.65 (define @t182 () (forall @t181 (=> @t180 @t176))) % 0.45/0.65 (define @t183 () (not @t182)) % 0.45/0.65 (define @t184 () (not @t177)) % 0.45/0.65 (define @t185 () (or @t178 @t184 @t176)) % 0.45/0.65 (define @t186 () (forall @t181 @t185)) % 0.45/0.65 (define @t187 () (@quantifiers_skolemize @t186 4)) % 0.45/0.65 (define @t188 () (@quantifiers_skolemize @t186 3)) % 0.45/0.65 (define @t189 () (tptp.vvar @t188)) % 0.45/0.65 (define @t190 () (@quantifiers_skolemize @t186 2)) % 0.45/0.65 (define @t191 () (@quantifiers_skolemize @t186 1)) % 0.45/0.65 (define @t192 () (@quantifiers_skolemize @t186 0)) % 0.45/0.65 (define @t193 () (tptp.vbind @t192 @t191 @t190)) % 0.45/0.65 (define @t194 () (tptp.vtcheck @t193 @t189 @t187)) % 0.45/0.65 (define @t195 () (tptp.vtcheck @t190 @t189 @t187)) % 0.45/0.65 (define @t196 () (not @t195)) % 0.45/0.65 (define @t197 () (tptp.visFreeVar @t192 @t189)) % 0.45/0.65 (define @t198 () (or @t197 @t196 @t194)) % 0.45/0.65 (define @t199 () (not @t197)) % 0.45/0.65 (define @t200 () (@list true)) % 0.45/0.65 (define @t201 () (@list @t198)) % 0.45/0.65 (define @t202 () (@var "BOUND_VARIABLE_8232" $$unsorted)) % 0.45/0.65 (define @t203 () (@var "BOUND_VARIABLE_8230" $$unsorted)) % 0.45/0.65 (define @t204 () (forall (@list @t203 @t202) (or (not (tptp.visFreeVar @t202 (tptp.vvar @t203))) (= @t203 @t202)))) % 0.45/0.65 (define @t205 () (@var "BOUND_VARIABLE_8221" $$unsorted)) % 0.45/0.65 (define @t206 () (tptp.visFreeVar @t205 (tptp.vvar @t205))) % 0.45/0.65 (define @t207 () (not (= @t205 @t205))) % 0.45/0.65 (define @t208 () (or @t207 @t206)) % 0.45/0.65 (define @t209 () (@list @t205)) % 0.45/0.65 (define @t210 () (@var "BOUND_VARIABLE_8219" $$unsorted)) % 0.45/0.65 (define @t211 () (tptp.visFreeVar @t205 (tptp.vvar @t210))) % 0.45/0.65 (define @t212 () (not (= @t210 @t205))) % 0.45/0.65 (define @t213 () (or @t212 @t212 @t211)) % 0.45/0.65 (define @t214 () (@list @t210)) % 0.45/0.65 (define @t215 () (or @t212 @t211)) % 0.45/0.65 (define @t216 () (forall @t214 @t215)) % 0.45/0.65 (define @t217 () (forall @t209 @t216)) % 0.45/0.65 (define @t218 () (forall (@list @t205 @t210) @t215)) % 0.45/0.65 (define @t219 () (forall (@list @t210 @t205) @t215)) % 0.45/0.65 (define @t220 () (tptp.visFreeVar @t36 @t30)) % 0.45/0.65 (define @t221 () (or (not @t220) @t37)) % 0.45/0.65 (define @t222 () (@list @t26 @t36)) % 0.45/0.65 (define @t223 () (forall @t222 @t221)) % 0.45/0.65 (define @t224 () (@list @t26 @t36)) % 0.45/0.65 (define @t225 () (or @t45 @t220)) % 0.45/0.65 (define @t226 () (forall @t222 @t225)) % 0.45/0.65 (define @t227 () (and @t226 @t223)) % 0.45/0.65 (define @t228 () (and @t225 @t221)) % 0.45/0.65 (define @t229 () (not (= @t30 @t30))) % 0.45/0.65 (define @t230 () (or @t229 @t228)) % 0.45/0.65 (define @t231 () (tptp.visFreeVar @t36 @t11)) % 0.45/0.65 (define @t232 () (and (or @t45 @t231) (or (not @t231) @t37))) % 0.45/0.65 (define @t233 () (not @t31)) % 0.45/0.65 (define @t234 () (or @t233 @t233 @t232)) % 0.45/0.65 (define @t235 () (or @t233 @t232)) % 0.45/0.65 (define @t236 () (forall @t112 @t235)) % 0.45/0.65 (define @t237 () (forall @t222 @t236)) % 0.45/0.65 (define @t238 () (forall (@list @t26 @t36 @t11) @t235)) % 0.45/0.65 (define @t239 () (@list @t11 @t26 @t36)) % 0.45/0.65 (define @t240 () (not (= @t36 @t36))) % 0.45/0.65 (define @t241 () (or @t240 @t233 @t232)) % 0.45/0.65 (define @t242 () (and (or @t45 @t38) (or (not @t38) @t37))) % 0.45/0.65 (define @t243 () (not @t40)) % 0.45/0.65 (define @t244 () (or @t243 @t243 @t233 @t242)) % 0.45/0.65 (define @t245 () (@list @t2)) % 0.45/0.65 (define @t246 () (or @t243 @t233 @t242)) % 0.45/0.65 (define @t247 () (forall @t245 @t246)) % 0.45/0.65 (define @t248 () (forall @t239 @t247)) % 0.45/0.65 (define @t249 () (forall (@list @t11 @t26 @t36 @t2) @t246)) % 0.45/0.65 (define @t250 () (tptp.vlookup @t26 @t73)) % 0.45/0.65 (define @t251 () (= @t76 @t250)) % 0.45/0.65 (define @t252 () (or @t71 @t251)) % 0.45/0.65 (define @t253 () (not (= @t250 @t250))) % 0.45/0.65 (define @t254 () (or @t71 @t253 (= @t250 @t76))) % 0.45/0.65 (define @t255 () (not (= @t61 @t250))) % 0.45/0.65 (define @t256 () (or @t255 @t71 @t255 @t77)) % 0.45/0.65 (define @t257 () (@list @t61)) % 0.45/0.65 (define @t258 () (or @t71 @t255 @t77)) % 0.45/0.65 (define @t259 () (forall @t257 @t258)) % 0.45/0.65 (define @t260 () (forall @t83 @t259)) % 0.45/0.65 (define @t261 () (forall (@list @t68 @t70 @t26 @t72 @t61) @t258)) % 0.45/0.65 (define @t262 () (@list @t68 @t70 @t61 @t26 @t72)) % 0.45/0.65 (define @t263 () (not (= @t73 @t73))) % 0.45/0.65 (define @t264 () (or @t263 @t71 @t255 @t77)) % 0.45/0.65 (define @t265 () (not (= @t61 (tptp.vlookup @t26 @t51)))) % 0.45/0.65 (define @t266 () (not @t74)) % 0.45/0.65 (define @t267 () (or @t266 @t266 @t71 @t265 @t77)) % 0.45/0.65 (define @t268 () (@list @t51)) % 0.45/0.65 (define @t269 () (or @t266 @t71 @t265 @t77)) % 0.45/0.65 (define @t270 () (forall @t268 @t269)) % 0.45/0.65 (define @t271 () (forall @t262 @t270)) % 0.45/0.65 (define @t272 () (forall (@list @t68 @t70 @t61 @t26 @t72 @t51) @t269)) % 0.45/0.65 (define @t273 () (@list @t68 @t70 @t51 @t61 @t26 @t72)) % 0.45/0.65 (define @t274 () (not (= @t26 @t26))) % 0.45/0.65 (define @t275 () (or @t274 @t266 @t71 @t265 @t77)) % 0.45/0.65 (define @t276 () (not @t65)) % 0.45/0.65 (define @t277 () (not @t67)) % 0.45/0.65 (define @t278 () (or @t277 @t277 @t266 @t71 @t276 @t77)) % 0.45/0.65 (define @t279 () (or @t277 @t266 @t71 @t276 @t77)) % 0.45/0.65 (define @t280 () (forall @t245 @t279)) % 0.45/0.65 (define @t281 () (forall @t273 @t280)) % 0.45/0.65 (define @t282 () (forall (@list @t68 @t70 @t51 @t61 @t26 @t72 @t2) @t279)) % 0.45/0.65 (define @t283 () (or @t71 @t276 @t77)) % 0.45/0.65 (define @t284 () (tptp.vlookup @t188 @t190)) % 0.45/0.65 (define @t285 () (tptp.vlookup @t188 @t193)) % 0.45/0.65 (define @t286 () (or (= @t188 @t192) (= @t284 @t285))) % 0.45/0.65 (define @t287 () (forall @t83 @t252)) % 0.45/0.65 (define @t288 () (= @t285 @t284)) % 0.45/0.65 (define @t289 () (= @t192 @t188)) % 0.45/0.65 (define @t290 () (or @t289 @t288)) % 0.45/0.65 (define @t291 () (@list false)) % 0.45/0.65 (define @t292 () (@var "BOUND_VARIABLE_7965" $$unsorted)) % 0.45/0.65 (define @t293 () (@var "BOUND_VARIABLE_7963" $$unsorted)) % 0.45/0.65 (define @t294 () (forall (@list @t293 @t292) (or (not (= (tptp.vvar @t293) (tptp.vvar @t292))) (= @t293 @t292)))) % 0.45/0.65 (define @t295 () (@var "BOUND_VARIABLE_7977" $$unsorted)) % 0.45/0.65 (define @t296 () (@list @t295)) % 0.45/0.65 (define @t297 () (tptp.vvar @t295)) % 0.45/0.65 (define @t298 () (not (= @t295 @t295))) % 0.45/0.65 (define @t299 () (or @t298 (= @t297 @t297))) % 0.45/0.65 (define @t300 () (@var "BOUND_VARIABLE_7975" $$unsorted)) % 0.45/0.65 (define @t301 () (= (tptp.vvar @t300) @t297)) % 0.45/0.65 (define @t302 () (not (= @t300 @t295))) % 0.45/0.65 (define @t303 () (or @t302 @t302 @t301)) % 0.45/0.65 (define @t304 () (@list @t300)) % 0.45/0.65 (define @t305 () (or @t302 @t301)) % 0.45/0.65 (define @t306 () (forall @t304 @t305)) % 0.45/0.65 (define @t307 () (forall @t296 @t306)) % 0.45/0.65 (define @t308 () (forall (@list @t295 @t300) @t305)) % 0.45/0.65 (define @t309 () (forall (@list @t300 @t295) @t305)) % 0.45/0.65 (define @t310 () (or (not @t5) @t4)) % 0.45/0.65 (define @t311 () (forall @t7 @t310)) % 0.45/0.65 (define @t312 () (@list @t2 @t1)) % 0.45/0.65 (define @t313 () (or (not @t4) @t5)) % 0.45/0.65 (define @t314 () (forall @t7 @t313)) % 0.45/0.65 (define @t315 () (and @t314 @t311)) % 0.45/0.65 (define @t316 () (tptp.vlookup @t26 @t190)) % 0.45/0.65 (define @t317 () (tptp.vsomeType @t187)) % 0.45/0.65 (define @t318 () (forall @t84 (or (not (= @t30 @t189)) (not (= @t317 @t316))))) % 0.45/0.65 (define @t319 () (@quantifiers_skolemize @t318 0)) % 0.45/0.65 (define @t320 () (not @t150)) % 0.45/0.65 (define @t321 () (not @t151)) % 0.45/0.65 (define @t322 () (not @t153)) % 0.45/0.65 (define @t323 () (or @t322 @t321 @t320)) % 0.45/0.65 (define @t324 () (not (forall @t155 @t323))) % 0.45/0.65 (define @t325 () (not @t159)) % 0.45/0.65 (define @t326 () (not @t161)) % 0.45/0.65 (define @t327 () (not @t163)) % 0.45/0.65 (define @t328 () (or @t327 @t326 @t325)) % 0.45/0.65 (define @t329 () (not (forall @t165 @t328))) % 0.45/0.65 (define @t330 () (not (forall @t84 (or (not @t167) (not @t145))))) % 0.45/0.65 (define @t331 () (not @t171)) % 0.45/0.65 (define @t332 () (or @t331 @t330 @t329 @t324)) % 0.45/0.65 (define @t333 () (or @t330 @t329 @t324)) % 0.45/0.65 (define @t334 () (forall @t155 (not @t154))) % 0.45/0.65 (define @t335 () (not @t334)) % 0.45/0.65 (define @t336 () (forall @t165 (not @t164))) % 0.45/0.65 (define @t337 () (not @t336)) % 0.45/0.65 (define @t338 () (forall @t84 (not @t168))) % 0.45/0.65 (define @t339 () (not @t338)) % 0.45/0.65 (define @t340 () (not (tptp.vtcheck @t190 @t32 @t25))) % 0.45/0.65 (define @t341 () (not (tptp.vtcheck @t190 @t33 (tptp.varrow @t25 @t187)))) % 0.45/0.65 (define @t342 () (not (= @t189 @t34))) % 0.45/0.65 (define @t343 () (or @t342 @t341 @t340)) % 0.45/0.65 (define @t344 () (forall @t155 @t343)) % 0.45/0.65 (define @t345 () (not @t344)) % 0.45/0.65 (define @t346 () (not (tptp.vtcheck (tptp.vbind @t26 @t158 @t190) @t32 @t157))) % 0.45/0.65 (define @t347 () (not (= @t187 @t160))) % 0.45/0.65 (define @t348 () (not (= @t189 @t162))) % 0.45/0.65 (define @t349 () (or @t348 @t347 @t346)) % 0.45/0.65 (define @t350 () (forall @t165 @t349)) % 0.45/0.65 (define @t351 () (not @t350)) % 0.45/0.65 (define @t352 () (not (= @t316 @t317))) % 0.45/0.65 (define @t353 () (not (= @t189 @t30))) % 0.45/0.65 (define @t354 () (or @t353 @t352)) % 0.45/0.65 (define @t355 () (forall @t84 @t354)) % 0.45/0.65 (define @t356 () (not @t355)) % 0.45/0.65 (define @t357 () (or @t196 @t356 @t351 @t345)) % 0.45/0.65 (define @t358 () (forall @t173 @t332)) % 0.45/0.65 (define @t359 () (forall @t155 (or (not (= @t34 @t189)) @t341 @t340))) % 0.45/0.65 (define @t360 () (not @t359)) % 0.45/0.65 (define @t361 () (forall @t165 (or (not (= @t162 @t189)) (not (= @t160 @t187)) @t346))) % 0.45/0.65 (define @t362 () (not @t361)) % 0.45/0.65 (define @t363 () (not @t318)) % 0.45/0.65 (define @t364 () (or @t196 @t363 @t362 @t360)) % 0.45/0.65 (define @t365 () (@quantifiers_skolemize @t359 1)) % 0.45/0.65 (define @t366 () (@quantifiers_skolemize @t359 0)) % 0.45/0.65 (define @t367 () (tptp.vapp @t366 @t365)) % 0.45/0.65 (define @t368 () (= @t189 @t367)) % 0.45/0.65 (define @t369 () (@quantifiers_skolemize @t359 2)) % 0.45/0.65 (define @t370 () (not (tptp.vtcheck @t190 @t365 @t369))) % 0.45/0.65 (define @t371 () (not (tptp.vtcheck @t190 @t366 (tptp.varrow @t369 @t187)))) % 0.45/0.65 (define @t372 () (not @t368)) % 0.45/0.65 (define @t373 () (or @t372 @t371 @t370)) % 0.45/0.65 (define @t374 () (not @t373)) % 0.45/0.65 (define @t375 () (not (= @t367 @t189))) % 0.45/0.65 (define @t376 () (or @t375 @t371 @t370)) % 0.45/0.65 (define @t377 () (not @t376)) % 0.45/0.65 (define @t378 () (@quantifiers_skolemize @t361 1)) % 0.45/0.65 (define @t379 () (@quantifiers_skolemize @t361 2)) % 0.45/0.65 (define @t380 () (@quantifiers_skolemize @t361 0)) % 0.45/0.65 (define @t381 () (tptp.vabs @t380 @t379 @t378)) % 0.45/0.65 (define @t382 () (= @t189 @t381)) % 0.45/0.65 (define @t383 () (@quantifiers_skolemize @t361 3)) % 0.45/0.65 (define @t384 () (not (tptp.vtcheck (tptp.vbind @t380 @t379 @t190) @t378 @t383))) % 0.45/0.65 (define @t385 () (tptp.varrow @t379 @t383)) % 0.45/0.65 (define @t386 () (not @t382)) % 0.45/0.65 (define @t387 () (or @t386 (not (= @t187 @t385)) @t384)) % 0.45/0.65 (define @t388 () (not @t387)) % 0.45/0.65 (define @t389 () (not (= @t385 @t187))) % 0.45/0.65 (define @t390 () (not (= @t381 @t189))) % 0.45/0.65 (define @t391 () (or @t390 @t389 @t384)) % 0.45/0.65 (define @t392 () (not @t391)) % 0.45/0.65 (define @t393 () (= @t317 (tptp.vlookup @t319 @t190))) % 0.45/0.65 (define @t394 () (not @t393)) % 0.45/0.65 (define @t395 () (tptp.vvar @t319)) % 0.45/0.65 (define @t396 () (= @t189 @t395)) % 0.45/0.65 (define @t397 () (not @t396)) % 0.45/0.65 (define @t398 () (or @t397 @t394)) % 0.45/0.65 (define @t399 () (not @t398)) % 0.45/0.65 (define @t400 () (not (= @t395 @t189))) % 0.45/0.65 (define @t401 () (or @t400 @t394)) % 0.45/0.65 (define @t402 () (not @t401)) % 0.45/0.65 (define @t403 () (@list @t398)) % 0.45/0.65 (define @t404 () (= @t188 @t319)) % 0.45/0.65 (define @t405 () (or @t397 @t404)) % 0.45/0.65 (define @t406 () (= @t285 @t317)) % 0.45/0.65 (define @t407 () (not @t406)) % 0.45/0.65 (define @t408 () (or @t407 @t194)) % 0.45/0.65 (define @t409 () (@list true false)) % 0.45/0.65 (define @t410 () (not @t288)) % 0.45/0.65 (define @t411 () (not @t404)) % 0.45/0.65 (define @t412 () (and @t407 @t393 @t404)) % 0.45/0.65 (define @t413 () (not @t289)) % 0.45/0.65 (define @t414 () (tptp.visFreeVar @t188 @t189)) % 0.45/0.65 (define @t415 () (not @t414)) % 0.45/0.65 (define @t416 () (and @t414 @t289 @t199)) % 0.45/0.65 (assume @p1 @t8) % 0.45/0.65 (assume @p2 (forall (@list @t2 @t12 @t11 @t1 @t10 @t9) (and (=> @t14 @t17) (=> @t17 @t14)))) % 0.45/0.65 (assume @p3 (forall (@list @t11 @t9 @t19 @t18) (and (=> @t21 @t22) (=> @t22 @t21)))) % 0.45/0.65 (assume @p4 (forall (@list @t2 @t1 @t12 @t11) (not (= @t3 (tptp.vabs @t1 @t12 @t11))))) % 0.45/0.65 (assume @p5 (forall (@list @t2 @t11 @t9) (not (= @t3 @t20)))) % 0.45/0.65 (assume @p6 (forall (@list @t2 @t12 @t11 @t9 @t19) (not (= @t13 (tptp.vapp @t9 @t19))))) % 0.45/0.65 (assume @p7 (forall (@list @t26 @t25 @t24 @t11) (=> @t28 @t23))) % 0.45/0.65 (assume @p8 (forall (@list @t26 @t11) (=> @t31 @t29))) % 0.45/0.65 (assume @p9 (forall (@list @t33 @t32 @t11) (=> @t35 @t29))) % 0.45/0.65 (assume @p10 @t43) % 0.45/0.65 (assume @p11 (forall (@list @t47 @t2 @t11 @t26 @t36 @t24) (=> (and @t40 (= @t11 (tptp.vabs @t26 @t47 @t24))) (and (=> @t46 @t38) (=> @t38 @t46))))) % 0.45/0.65 (assume @p12 (forall (@list @t2 @t11 @t33 @t36 @t32) (=> (and @t40 @t35) (and (=> @t48 @t38) (=> @t38 @t48))))) % 0.45/0.65 (assume @p13 (and (=> @t49 true) (=> true @t49))) % 0.45/0.65 (assume @p14 (forall (@list @t2 @t12 @t51 @t1 @t10 @t50) (and (=> @t53 @t54) (=> @t54 @t53)))) % 0.45/0.65 (assume @p15 (and (=> @t55 true) (=> true @t55))) % 0.45/0.65 (assume @p16 (forall (@list @t12 @t10) (and (=> @t57 @t16) (=> @t16 @t57)))) % 0.45/0.65 (assume @p17 (forall (@list @t2 @t12 @t51) (not (= tptp.vempty @t52)))) % 0.45/0.65 (assume @p18 (forall (@list @t12) (not (= tptp.vnoType @t56)))) % 0.45/0.65 (assume @p19 (forall (@list @t58) (=> (= @t58 tptp.vnoType) (not @t59)))) % 0.45/0.65 (assume @p20 (forall (@list @t24 @t58) (=> @t60 @t59))) % 0.45/0.65 (assume @p21 (forall (@list @t58 @t61 @t24) (=> @t60 (=> (= @t61 (tptp.vgetSomeType @t58)) @t62)))) % 0.45/0.65 (assume @p22 (forall (@list @t26 @t2 @t51 @t61) (=> (and @t67 @t66) (=> @t65 @t63)))) % 0.45/0.65 (assume @p23 (forall (@list @t72 @t26 @t70 @t2 @t51 @t61 @t68) (=> @t75 (=> @t71 (=> @t65 @t69))))) % 0.45/0.65 (assume @p24 @t82) % 0.45/0.65 (assume @p25 (forall (@list @t2 @t51 @t61) (=> (= @t64 @t61) (or (exists @t84 (and @t67 @t66 @t63)) (exists (@list @t72 @t26 @t70 @t68) (and @t67 @t74 @t71 @t69)) (exists @t83 (and @t67 @t74 @t79 @t77)))))) % 0.45/0.65 (assume @p26 (forall @t88 (=> (and @t71 @t87) (tptp.vtcheck @t86 @t24 @t47)))) % 0.45/0.65 (assume @p27 (forall @t88 (=> (and @t79 @t87) (tptp.vtcheck (tptp.vbind @t70 @t68 @t86) @t24 @t47)))) % 0.45/0.65 (assume @p28 (forall (@list @t36 @t24) (=> (= (tptp.vgensym @t24) @t36) (not @t44)))) % 0.45/0.65 (assume @p29 (forall (@list @t26 @t70 @t2 @t11 @t9 @t61 @t24) (=> @t94 (=> @t71 (=> @t90 @t62))))) % 0.45/0.65 (assume @p30 (forall (@list @t24 @t26 @t2 @t11 @t9 @t61 @t70) (=> @t94 (=> @t79 (=> @t90 @t95))))) % 0.45/0.65 (assume @p31 (forall (@list @t2 @t11 @t9 @t61 @t33 @t26 @t24 @t32) (=> (and @t67 @t93 @t98) (=> @t90 @t97)))) % 0.45/0.65 (assume @p32 (forall (@list @t24 @t26 @t2 @t11 @t9 @t61 @t70 @t47 @t33) (=> @t102 (=> @t71 (=> @t90 @t100))))) % 0.45/0.65 (assume @p33 (forall (@list @t2 @t11 @t9 @t61 @t26 @t24 @t47 @t70 @t103 @t33) (=> @t102 (=> (and @t79 @t106 @t105) (=> @t90 @t104))))) % 0.45/0.65 (assume @p34 (forall (@list @t2 @t11 @t9 @t61 @t70 @t47 @t26 @t24 @t33) (=> @t102 (=> (and @t79 @t108) (=> @t90 @t107))))) % 0.45/0.65 (assume @p35 (forall (@list @t2 @t11 @t9 @t61) (=> (= @t89 @t61) (or (exists (@list @t26 @t70 @t24) (and @t67 @t93 @t92 @t71 @t62)) (exists (@list @t24 @t26 @t70) (and @t67 @t93 @t92 @t79 @t95)) (exists (@list @t33 @t26 @t24 @t32) (and @t67 @t93 @t98 @t97)) (exists (@list @t24 @t26 @t70 @t47 @t33) (and @t67 @t93 @t101 @t71 @t100)) (exists (@list @t26 @t24 @t47 @t70 @t103 @t33) (and @t67 @t93 @t101 @t79 @t106 @t105 @t104)) (exists (@list @t70 @t47 @t26 @t24 @t33) (and @t67 @t93 @t101 @t79 @t108 @t107)))))) % 0.45/0.65 (assume @p36 (and (=> @t109 true) (=> true @t109))) % 0.45/0.65 (assume @p37 (forall (@list @t11 @t9) (and (=> @t111 @t15) (=> @t15 @t111)))) % 0.45/0.65 (assume @p38 (forall @t112 (not (= tptp.vnoExp @t110)))) % 0.45/0.65 (assume @p39 (forall (@list @t113) (=> (= @t113 tptp.vnoExp) (not @t114)))) % 0.45/0.65 (assume @p40 (forall (@list @t24 @t113) (=> @t115 @t114))) % 0.45/0.65 (assume @p41 (forall (@list @t113 @t61 @t24) (=> @t115 (=> (= @t61 (tptp.vgetSomeExp @t113)) @t62)))) % 0.45/0.65 (assume @p42 (forall (@list @t26 @t11 @t61) (=> @t31 @t119))) % 0.45/0.65 (assume @p43 (forall (@list @t26 @t25 @t24 @t11 @t61) (=> @t28 @t119))) % 0.45/0.65 (assume @p44 (forall (@list @t32 @t11 @t61 @t26 @t25 @t33 @t120) (=> @t125 (=> (and @t124 @t123) (=> @t118 @t122))))) % 0.45/0.65 (assume @p45 (forall (@list @t25 @t120 @t11 @t61 @t26 @t32 @t33) (=> @t125 (=> (and @t124 @t128 @t127) (=> @t118 @t126))))) % 0.45/0.65 (assume @p46 (forall (@list @t26 @t25 @t33 @t120 @t32 @t11 @t61) (=> @t125 (=> (and @t124 @t128 @t129) @t119)))) % 0.45/0.65 (assume @p47 (forall (@list @t33 @t11 @t61 @t130 @t32) (=> @t138 (=> (and @t133 @t132) (=> @t118 @t131))))) % 0.45/0.65 (assume @p48 (forall (@list @t32 @t33 @t130 @t11 @t61) (=> @t138 (=> (and @t133 @t139) @t119)))) % 0.45/0.65 (assume @p49 (forall (@list @t11 @t61) (=> (= @t117 @t61) (or (exists @t84 (and @t31 @t116)) (exists (@list @t26 @t25 @t24) (and @t28 @t116)) (exists (@list @t32 @t26 @t25 @t33 @t120) (and @t125 @t124 @t123 @t122)) (exists (@list @t25 @t120 @t26 @t32 @t33) (and @t125 @t124 @t128 @t127 @t126)) (exists (@list @t26 @t25 @t33 @t120 @t32) (and @t125 @t124 @t128 @t129 @t116)) (exists (@list @t33 @t130 @t32) (and @t35 @t137 @t133 @t132 @t131)) (exists (@list @t32 @t33 @t130) (and @t35 @t137 @t133 @t139 @t116)))))) % 0.45/0.65 (assume @p50 (forall (@list @t12 @t10 @t141 @t140) (and (=> @t142 @t143) (=> @t143 @t142)))) % 0.45/0.65 (assume @p51 @t146) % 0.45/0.65 (assume @p52 (forall (@list @t72 @t26 @t24 @t25 @t47) (=> @t149 (tptp.vtcheck @t72 @t27 @t147)))) % 0.45/0.65 (assume @p53 (forall (@list @t25 @t72 @t33 @t32 @t47) (=> @t152 (tptp.vtcheck @t72 @t34 @t47)))) % 0.45/0.65 (assume @p54 @t174) % 0.45/0.65 (assume @p55 (forall @t175 (=> (and (= @t76 tptp.vnoType) @t171) @t149))) % 0.45/0.65 (assume @p56 (forall @t175 (=> (and (not (tptp.visFreeVar @t26 @t24)) @t149) @t171))) % 0.45/0.65 (assume @p57 @t183) % 0.45/0.65 (assume @p58 true) % 0.45/0.65 (step @p59 :rule aci_norm :args ((= (or (or @t178 @t184) @t176) @t185))) % 0.45/0.65 (step @p60 :rule refl :args (@t176)) % 0.45/0.65 (step @p61 :rule refl :args (@t184)) % 0.45/0.65 (step @p62 :rule bool-double-not-elim :args (@t178)) % 0.45/0.65 (step @p63 :rule nary_cong :premises (@p62 @p61) :args ((or (not @t179) @t184))) % 0.45/0.65 (step @p64 :rule bool-and-de-morgan :args (@t179 @t177 true)) % 0.45/0.65 (step @p65 :rule trans :premises (@p64 @p63)) % 0.45/0.65 (step @p66 :rule nary_cong :premises (@p65 @p60) :args ((or (not @t180) @t176))) % 0.45/0.65 (step @p67 :rule trans :premises (@p66 @p59)) % 0.45/0.65 (step @p68 :rule bool-impl-elim :args (@t180 @t176)) % 0.45/0.65 (step @p69 :rule trans :premises (@p68 @p67)) % 0.45/0.65 (step @p70 :rule cong :premises (@p69) :args (@t182)) % 0.45/0.65 (step @p71 :rule cong :premises (@p70) :args (@t183)) % 0.45/0.65 (step @p72 :rule eq_resolve :premises (@p57 @p71)) % 0.45/0.65 (step @p73 :rule skolemize :premises (@p72)) % 0.45/0.65 (step @p74 :rule cnf_or_neg :args (@t198 0)) % 0.45/0.65 (step @p75 :rule chain_m_resolution :premises (@p74 @p73) :args (@t199 @t200 @t201)) % 0.45/0.65 (step @p76 :rule refl :args (@t204)) % 0.45/0.65 (step @p77 :rule aci_norm :args ((= (or false @t206) @t206))) % 0.45/0.65 (step @p78 :rule refl :args (@t206)) % 0.45/0.65 (step @p79 :rule evaluate :args ((not true))) % 0.45/0.65 (step @p80 :rule eq-refl :args (@t205)) % 0.45/0.65 (step @p81 :rule cong :premises (@p80) :args (@t207)) % 0.45/0.65 (step @p82 :rule trans :premises (@p81 @p79)) % 0.45/0.65 (step @p83 :rule nary_cong :premises (@p82 @p78) :args (@t208)) % 0.45/0.65 (step @p84 :rule trans :premises (@p83 @p77)) % 0.45/0.65 (step @p85 :rule cong :premises (@p84) :args ((forall @t209 @t208))) % 0.45/0.65 (step @p86 :rule quant-var-elim-eq :args ((= (forall @t214 @t213) @t208))) % 0.45/0.65 (step @p87 :rule aci_norm :args ((= @t215 @t213))) % 0.45/0.65 (step @p88 :rule cong :premises (@p87) :args (@t216)) % 0.45/0.65 (step @p89 :rule trans :premises (@p88 @p86)) % 0.45/0.65 (step @p90 :rule cong :premises (@p89) :args (@t217)) % 0.45/0.65 (step @p91 :rule quant-merge-prenex :args ((= @t217 @t218))) % 0.45/0.65 (step @p92 :rule symm :premises (@p91)) % 0.45/0.65 (step @p93 :rule quant_var_reordering :args ((= @t219 @t218))) % 0.45/0.65 (step @p94 :rule trans :premises (@p93 @p92 @p90)) % 0.45/0.65 (step @p95 :rule trans :premises (@p94 @p85)) % 0.45/0.65 (step @p96 :rule nary_cong :premises (@p95 @p76) :args ((and @t219 @t204))) % 0.45/0.65 (step @p97 :rule alpha_equiv :args (@t223 @t224 (@list @t203 @t202))) % 0.45/0.65 (step @p98 :rule alpha_equiv :args (@t226 @t224 (@list @t210 @t205))) % 0.45/0.65 (step @p99 :rule nary_cong :premises (@p98 @p97) :args (@t227)) % 0.45/0.65 (step @p100 :rule quant-miniscope-and :args ((= (forall @t222 @t228) @t227))) % 0.45/0.65 (step @p101 :rule trans :premises (@p100 @p99)) % 0.45/0.65 (step @p102 :rule trans :premises (@p101 @p96)) % 0.45/0.65 (step @p103 :rule aci_norm :args ((= (or false @t228) @t228))) % 0.45/0.65 (step @p104 :rule refl :args (@t228)) % 0.45/0.65 (step @p105 :rule eq-refl :args (@t30)) % 0.45/0.65 (step @p106 :rule cong :premises (@p105) :args (@t229)) % 0.45/0.65 (step @p107 :rule trans :premises (@p106 @p79)) % 0.45/0.65 (step @p108 :rule nary_cong :premises (@p107 @p104) :args (@t230)) % 0.45/0.65 (step @p109 :rule trans :premises (@p108 @p103)) % 0.45/0.65 (step @p110 :rule cong :premises (@p109) :args ((forall @t222 @t230))) % 0.45/0.65 (step @p111 :rule trans :premises (@p110 @p102)) % 0.45/0.65 (step @p112 :rule quant-var-elim-eq :args ((= (forall @t112 @t234) @t230))) % 0.45/0.65 (step @p113 :rule aci_norm :args ((= @t235 @t234))) % 0.45/0.65 (step @p114 :rule cong :premises (@p113) :args (@t236)) % 0.45/0.65 (step @p115 :rule trans :premises (@p114 @p112)) % 0.45/0.65 (step @p116 :rule cong :premises (@p115) :args (@t237)) % 0.45/0.65 (step @p117 :rule quant-merge-prenex :args ((= @t237 @t238))) % 0.45/0.65 (step @p118 :rule symm :premises (@p117)) % 0.45/0.65 (step @p119 :rule quant_var_reordering :args ((= (forall @t239 @t235) @t238))) % 0.45/0.65 (step @p120 :rule trans :premises (@p119 @p118 @p116)) % 0.45/0.65 (step @p121 :rule trans :premises (@p120 @p111)) % 0.45/0.65 (step @p122 :rule aci_norm :args ((= (or false @t233 @t232) @t235))) % 0.45/0.65 (step @p123 :rule refl :args (@t232)) % 0.45/0.65 (step @p124 :rule refl :args (@t233)) % 0.45/0.65 (step @p125 :rule eq-refl :args (@t36)) % 0.45/0.65 (step @p126 :rule cong :premises (@p125) :args (@t240)) % 0.45/0.65 (step @p127 :rule trans :premises (@p126 @p79)) % 0.45/0.65 (step @p128 :rule nary_cong :premises (@p127 @p124 @p123) :args (@t241)) % 0.45/0.65 (step @p129 :rule trans :premises (@p128 @p122)) % 0.45/0.65 (step @p130 :rule cong :premises (@p129) :args ((forall @t239 @t241))) % 0.45/0.65 (step @p131 :rule trans :premises (@p130 @p121)) % 0.45/0.65 (step @p132 :rule quant-var-elim-eq :args ((= (forall @t245 @t244) @t241))) % 0.45/0.65 (step @p133 :rule aci_norm :args ((= @t246 @t244))) % 0.45/0.65 (step @p134 :rule cong :premises (@p133) :args (@t247)) % 0.45/0.65 (step @p135 :rule trans :premises (@p134 @p132)) % 0.45/0.65 (step @p136 :rule cong :premises (@p135) :args (@t248)) % 0.45/0.65 (step @p137 :rule quant-merge-prenex :args ((= @t248 @t249))) % 0.45/0.65 (step @p138 :rule symm :premises (@p137)) % 0.45/0.65 (step @p139 :rule quant_var_reordering :args ((= (forall @t42 @t246) @t249))) % 0.45/0.65 (step @p140 :rule trans :premises (@p139 @p138 @p136)) % 0.45/0.65 (step @p141 :rule trans :premises (@p140 @p131)) % 0.45/0.65 (step @p142 :rule aci_norm :args ((= (or (or @t243 @t233) @t242) @t246))) % 0.45/0.65 (step @p143 :rule bool-impl-elim :args (@t38 @t37)) % 0.45/0.65 (step @p144 :rule bool-impl-elim :args (@t37 @t38)) % 0.45/0.65 (step @p145 :rule nary_cong :premises (@p144 @p143) :args (@t39)) % 0.45/0.65 (step @p146 :rule bool-and-de-morgan :args (@t40 @t31 true)) % 0.45/0.65 (step @p147 :rule nary_cong :premises (@p146 @p145) :args ((or (not @t41) @t39))) % 0.45/0.65 (step @p148 :rule trans :premises (@p147 @p142)) % 0.45/0.65 (step @p149 :rule bool-impl-elim :args (@t41 @t39)) % 0.45/0.65 (step @p150 :rule trans :premises (@p149 @p148)) % 0.45/0.65 (step @p151 :rule cong :premises (@p150) :args (@t43)) % 0.45/0.65 (step @p152 :rule trans :premises (@p151 @p141)) % 0.45/0.65 (step @p153 :rule eq_resolve :premises (@p10 @p152)) % 0.45/0.65 (step @p154 :rule and_elim :premises (@p153) :args (0)) % 0.45/0.65 (step @p155 :rule instantiate :premises (@p154) :args ((@list @t188))) % 0.45/0.65 (step @p156 :rule aci_norm :args ((= (or @t71 false @t251) @t252))) % 0.45/0.65 (step @p157 :rule eq-symm :args (@t250 @t76)) % 0.45/0.65 (step @p158 :rule eq-refl :args (@t250)) % 0.45/0.65 (step @p159 :rule cong :premises (@p158) :args (@t253)) % 0.45/0.65 (step @p160 :rule trans :premises (@p159 @p79)) % 0.45/0.65 (step @p161 :rule refl :args (@t71)) % 0.45/0.65 (step @p162 :rule nary_cong :premises (@p161 @p160 @p157) :args (@t254)) % 0.45/0.65 (step @p163 :rule trans :premises (@p162 @p156)) % 0.45/0.65 (step @p164 :rule cong :premises (@p163) :args ((forall @t83 @t254))) % 0.45/0.65 (step @p165 :rule quant-var-elim-eq :args ((= (forall @t257 @t256) @t254))) % 0.45/0.65 (step @p166 :rule aci_norm :args ((= @t258 @t256))) % 0.45/0.65 (step @p167 :rule cong :premises (@p166) :args (@t259)) % 0.45/0.65 (step @p168 :rule trans :premises (@p167 @p165)) % 0.45/0.65 (step @p169 :rule cong :premises (@p168) :args (@t260)) % 0.45/0.65 (step @p170 :rule quant-merge-prenex :args ((= @t260 @t261))) % 0.45/0.65 (step @p171 :rule symm :premises (@p170)) % 0.45/0.65 (step @p172 :rule quant_var_reordering :args ((= (forall @t262 @t258) @t261))) % 0.45/0.65 (step @p173 :rule trans :premises (@p172 @p171 @p169)) % 0.45/0.65 (step @p174 :rule trans :premises (@p173 @p164)) % 0.45/0.65 (step @p175 :rule aci_norm :args ((= (or false @t71 @t255 @t77) @t258))) % 0.45/0.65 (step @p176 :rule refl :args (@t77)) % 0.45/0.65 (step @p177 :rule refl :args (@t255)) % 0.45/0.65 (step @p178 :rule eq-refl :args (@t73)) % 0.45/0.65 (step @p179 :rule cong :premises (@p178) :args (@t263)) % 0.45/0.65 (step @p180 :rule trans :premises (@p179 @p79)) % 0.45/0.65 (step @p181 :rule nary_cong :premises (@p180 @p161 @p177 @p176) :args (@t264)) % 0.45/0.65 (step @p182 :rule trans :premises (@p181 @p175)) % 0.45/0.65 (step @p183 :rule cong :premises (@p182) :args ((forall @t262 @t264))) % 0.45/0.65 (step @p184 :rule trans :premises (@p183 @p174)) % 0.45/0.65 (step @p185 :rule quant-var-elim-eq :args ((= (forall @t268 @t267) @t264))) % 0.45/0.65 (step @p186 :rule aci_norm :args ((= @t269 @t267))) % 0.45/0.65 (step @p187 :rule cong :premises (@p186) :args (@t270)) % 0.45/0.65 (step @p188 :rule trans :premises (@p187 @p185)) % 0.45/0.65 (step @p189 :rule cong :premises (@p188) :args (@t271)) % 0.45/0.65 (step @p190 :rule quant-merge-prenex :args ((= @t271 @t272))) % 0.45/0.65 (step @p191 :rule symm :premises (@p190)) % 0.45/0.65 (step @p192 :rule quant_var_reordering :args ((= (forall @t273 @t269) @t272))) % 0.45/0.65 (step @p193 :rule trans :premises (@p192 @p191 @p189)) % 0.45/0.65 (step @p194 :rule trans :premises (@p193 @p184)) % 0.45/0.65 (step @p195 :rule aci_norm :args ((= (or false @t266 @t71 @t265 @t77) @t269))) % 0.45/0.65 (step @p196 :rule refl :args (@t265)) % 0.45/0.65 (step @p197 :rule refl :args (@t266)) % 0.45/0.65 (step @p198 :rule eq-refl :args (@t26)) % 0.45/0.65 (step @p199 :rule cong :premises (@p198) :args (@t274)) % 0.45/0.65 (step @p200 :rule trans :premises (@p199 @p79)) % 0.45/0.65 (step @p201 :rule nary_cong :premises (@p200 @p197 @p161 @p196 @p176) :args (@t275)) % 0.45/0.65 (step @p202 :rule trans :premises (@p201 @p195)) % 0.45/0.65 (step @p203 :rule cong :premises (@p202) :args ((forall @t273 @t275))) % 0.45/0.65 (step @p204 :rule trans :premises (@p203 @p194)) % 0.45/0.65 (step @p205 :rule quant-var-elim-eq :args ((= (forall @t245 @t278) @t275))) % 0.45/0.65 (step @p206 :rule aci_norm :args ((= @t279 @t278))) % 0.45/0.65 (step @p207 :rule cong :premises (@p206) :args (@t280)) % 0.45/0.65 (step @p208 :rule trans :premises (@p207 @p205)) % 0.45/0.65 (step @p209 :rule cong :premises (@p208) :args (@t281)) % 0.45/0.65 (step @p210 :rule quant-merge-prenex :args ((= @t281 @t282))) % 0.45/0.65 (step @p211 :rule symm :premises (@p210)) % 0.45/0.65 (step @p212 :rule quant_var_reordering :args ((= (forall @t81 @t279) @t282))) % 0.45/0.65 (step @p213 :rule trans :premises (@p212 @p211 @p209)) % 0.45/0.65 (step @p214 :rule trans :premises (@p213 @p204)) % 0.45/0.65 (step @p215 :rule aci_norm :args ((= (or (or @t277 @t266) @t283) @t279))) % 0.45/0.65 (step @p216 :rule aci_norm :args ((= (or @t71 (or @t276 @t77)) @t283))) % 0.45/0.65 (step @p217 :rule bool-impl-elim :args (@t65 @t77)) % 0.45/0.65 (step @p218 :rule refl :args (@t71)) % 0.45/0.65 (step @p219 :rule nary_cong :premises (@p218 @p217) :args ((or @t71 @t78))) % 0.45/0.65 (step @p220 :rule trans :premises (@p219 @p216)) % 0.45/0.65 (step @p221 :rule refl :args (@t78)) % 0.45/0.65 (step @p222 :rule bool-double-not-elim :args (@t71)) % 0.45/0.65 (step @p223 :rule nary_cong :premises (@p222 @p221) :args ((or (not @t79) @t78))) % 0.45/0.65 (step @p224 :rule bool-impl-elim :args (@t79 @t78)) % 0.45/0.65 (step @p225 :rule trans :premises (@p224 @p223)) % 0.45/0.65 (step @p226 :rule trans :premises (@p225 @p220)) % 0.45/0.65 (step @p227 :rule bool-and-de-morgan :args (@t67 @t74 true)) % 0.45/0.65 (step @p228 :rule nary_cong :premises (@p227 @p226) :args ((or (not @t75) @t80))) % 0.45/0.65 (step @p229 :rule trans :premises (@p228 @p215)) % 0.45/0.65 (step @p230 :rule bool-impl-elim :args (@t75 @t80)) % 0.45/0.65 (step @p231 :rule trans :premises (@p230 @p229)) % 0.45/0.65 (step @p232 :rule cong :premises (@p231) :args (@t82)) % 0.45/0.65 (step @p233 :rule trans :premises (@p232 @p214)) % 0.45/0.65 (step @p234 :rule eq_resolve :premises (@p24 @p233)) % 0.45/0.65 (step @p235 :rule eq-symm :args (@t284 @t285)) % 0.45/0.65 (step @p236 :rule eq-symm :args (@t188 @t192)) % 0.45/0.65 (step @p237 :rule nary_cong :premises (@p236 @p235) :args (@t286)) % 0.45/0.65 (step @p238 :rule refl :args (@t287)) % 0.45/0.65 (step @p239 :rule cong :premises (@p238 @p237) :args ((=> @t287 @t286))) % 0.45/0.65 (assume-push @p531 @t287) % 0.45/0.65 (step @p241 :rule instantiate :premises (@p234) :args ((@list @t191 @t192 @t188 @t190))) % 0.45/0.65 (step-pop @p532 :rule scope :premises (@p241)) % 0.45/0.65 (step @p242 :rule process_scope :premises (@p532) :args (@t286)) % 0.45/0.65 (step @p244 :rule eq_resolve :premises (@p242 @p239)) % 0.45/0.65 (step @p245 :rule implies_elim :premises (@p244)) % 0.45/0.65 (step @p246 :rule chain_m_resolution :premises (@p245 @p234) :args (@t290 @t291 (@list @t287))) % 0.45/0.65 (step @p247 :rule aci_norm :args ((= (and @t294 true) @t294))) % 0.45/0.65 (step @p248 :rule quant-unused-vars :args ((= (forall @t296 true) true))) % 0.45/0.65 (step @p249 :rule evaluate :args ((or false true))) % 0.45/0.65 (step @p250 :rule eq-refl :args (@t297)) % 0.45/0.65 (step @p251 :rule eq-refl :args (@t295)) % 0.45/0.65 (step @p252 :rule cong :premises (@p251) :args (@t298)) % 0.45/0.65 (step @p253 :rule trans :premises (@p252 @p79)) % 0.45/0.65 (step @p254 :rule nary_cong :premises (@p253 @p250) :args (@t299)) % 0.45/0.65 (step @p255 :rule trans :premises (@p254 @p249)) % 0.45/0.65 (step @p256 :rule cong :premises (@p255) :args ((forall @t296 @t299))) % 0.45/0.65 (step @p257 :rule trans :premises (@p256 @p248)) % 0.45/0.65 (step @p258 :rule quant-var-elim-eq :args ((= (forall @t304 @t303) @t299))) % 0.45/0.65 (step @p259 :rule aci_norm :args ((= @t305 @t303))) % 0.45/0.65 (step @p260 :rule cong :premises (@p259) :args (@t306)) % 0.45/0.65 (step @p261 :rule trans :premises (@p260 @p258)) % 0.45/0.65 (step @p262 :rule cong :premises (@p261) :args (@t307)) % 0.45/0.65 (step @p263 :rule quant-merge-prenex :args ((= @t307 @t308))) % 0.45/0.65 (step @p264 :rule symm :premises (@p263)) % 0.45/0.65 (step @p265 :rule quant_var_reordering :args ((= @t309 @t308))) % 0.45/0.65 (step @p266 :rule trans :premises (@p265 @p264 @p262)) % 0.45/0.65 (step @p267 :rule trans :premises (@p266 @p257)) % 0.45/0.65 (step @p268 :rule refl :args (@t294)) % 0.45/0.65 (step @p269 :rule nary_cong :premises (@p268 @p267) :args ((and @t294 @t309))) % 0.45/0.65 (step @p270 :rule trans :premises (@p269 @p247)) % 0.45/0.65 (step @p271 :rule alpha_equiv :args (@t311 @t312 (@list @t300 @t295))) % 0.45/0.65 (step @p272 :rule alpha_equiv :args (@t314 @t312 (@list @t293 @t292))) % 0.45/0.65 (step @p273 :rule nary_cong :premises (@p272 @p271) :args (@t315)) % 0.45/0.65 (step @p274 :rule quant-miniscope-and :args ((= (forall @t7 (and @t313 @t310)) @t315))) % 0.45/0.65 (step @p275 :rule trans :premises (@p274 @p273)) % 0.45/0.65 (step @p276 :rule trans :premises (@p275 @p270)) % 0.45/0.65 (step @p277 :rule bool-impl-elim :args (@t5 @t4)) % 0.45/0.65 (step @p278 :rule bool-impl-elim :args (@t4 @t5)) % 0.45/0.65 (step @p279 :rule nary_cong :premises (@p278 @p277) :args (@t6)) % 0.45/0.65 (step @p280 :rule cong :premises (@p279) :args (@t8)) % 0.45/0.65 (step @p281 :rule trans :premises (@p280 @p276)) % 0.45/0.65 (step @p282 :rule eq_resolve :premises (@p1 @p281)) % 0.45/0.65 (step @p283 :rule instantiate :premises (@p282) :args ((@list @t188 @t319))) % 0.45/0.65 (step @p284 :rule aci_norm :args ((= (or @t331 @t333) @t332))) % 0.45/0.65 (step @p285 :rule bool-impl-elim :args (@t171 @t333)) % 0.45/0.65 (step @p286 :rule trans :premises (@p285 @p284)) % 0.45/0.65 (step @p287 :rule cong :premises (@p286) :args ((forall @t173 (=> @t171 @t333)))) % 0.45/0.65 (step @p288 :rule aci_norm :args ((= (or @t322 (or @t321 @t320)) @t323))) % 0.45/0.65 (step @p289 :rule bool-and-de-morgan :args (@t151 @t150 true)) % 0.45/0.65 (step @p290 :rule refl :args (@t322)) % 0.45/0.65 (step @p291 :rule nary_cong :premises (@p290 @p289) :args ((or @t322 (not @t152)))) % 0.45/0.65 (step @p292 :rule bool-and-de-morgan :args (@t153 @t151 (and @t150))) % 0.45/0.65 (step @p293 :rule trans :premises (@p292 @p291)) % 0.45/0.65 (step @p294 :rule trans :premises (@p293 @p288)) % 0.45/0.65 (step @p295 :rule cong :premises (@p294) :args (@t334)) % 0.45/0.65 (step @p296 :rule cong :premises (@p295) :args (@t335)) % 0.45/0.65 (step @p297 :rule exists-elim :args ((= @t156 @t335))) % 0.45/0.65 (step @p298 :rule trans :premises (@p297 @p296)) % 0.45/0.65 (step @p299 :rule aci_norm :args ((= (or @t327 (or @t326 @t325)) @t328))) % 0.45/0.65 (step @p300 :rule bool-and-de-morgan :args (@t161 @t159 true)) % 0.45/0.65 (step @p301 :rule refl :args (@t327)) % 0.45/0.65 (step @p302 :rule nary_cong :premises (@p301 @p300) :args ((or @t327 (not (and @t161 @t159))))) % 0.45/0.65 (step @p303 :rule bool-and-de-morgan :args (@t163 @t161 (and @t159))) % 0.45/0.65 (step @p304 :rule trans :premises (@p303 @p302)) % 0.45/0.65 (step @p305 :rule trans :premises (@p304 @p299)) % 0.45/0.65 (step @p306 :rule cong :premises (@p305) :args (@t336)) % 0.45/0.65 (step @p307 :rule cong :premises (@p306) :args (@t337)) % 0.45/0.65 (step @p308 :rule exists-elim :args ((= @t166 @t337))) % 0.45/0.65 (step @p309 :rule trans :premises (@p308 @p307)) % 0.45/0.65 (step @p310 :rule bool-and-de-morgan :args (@t167 @t145 true)) % 0.45/0.65 (step @p311 :rule cong :premises (@p310) :args (@t338)) % 0.45/0.65 (step @p312 :rule cong :premises (@p311) :args (@t339)) % 0.45/0.65 (step @p313 :rule exists-elim :args ((= @t169 @t339))) % 0.45/0.65 (step @p314 :rule trans :premises (@p313 @p312)) % 0.45/0.65 (step @p315 :rule nary_cong :premises (@p314 @p309 @p298) :args (@t170)) % 0.45/0.65 (step @p316 :rule refl :args (@t171)) % 0.45/0.65 (step @p317 :rule cong :premises (@p316 @p315) :args (@t172)) % 0.45/0.65 (step @p318 :rule cong :premises (@p317) :args (@t174)) % 0.45/0.65 (step @p319 :rule trans :premises (@p318 @p287)) % 0.45/0.65 (step @p320 :rule eq_resolve :premises (@p54 @p319)) % 0.45/0.65 (step @p321 :rule refl :args (@t340)) % 0.45/0.65 (step @p322 :rule refl :args (@t341)) % 0.45/0.65 (step @p323 :rule eq-symm :args (@t189 @t34)) % 0.45/0.65 (step @p324 :rule cong :premises (@p323) :args (@t342)) % 0.45/0.65 (step @p325 :rule nary_cong :premises (@p324 @p322 @p321) :args (@t343)) % 0.45/0.65 (step @p326 :rule cong :premises (@p325) :args (@t344)) % 0.45/0.65 (step @p327 :rule cong :premises (@p326) :args (@t345)) % 0.45/0.65 (step @p328 :rule refl :args (@t346)) % 0.45/0.65 (step @p329 :rule eq-symm :args (@t187 @t160)) % 0.45/0.65 (step @p330 :rule cong :premises (@p329) :args (@t347)) % 0.45/0.65 (step @p331 :rule eq-symm :args (@t189 @t162)) % 0.45/0.65 (step @p332 :rule cong :premises (@p331) :args (@t348)) % 0.45/0.65 (step @p333 :rule nary_cong :premises (@p332 @p330 @p328) :args (@t349)) % 0.45/0.65 (step @p334 :rule cong :premises (@p333) :args (@t350)) % 0.45/0.65 (step @p335 :rule cong :premises (@p334) :args (@t351)) % 0.45/0.65 (step @p336 :rule eq-symm :args (@t316 @t317)) % 0.45/0.65 (step @p337 :rule cong :premises (@p336) :args (@t352)) % 0.45/0.65 (step @p338 :rule eq-symm :args (@t189 @t30)) % 0.45/0.65 (step @p339 :rule cong :premises (@p338) :args (@t353)) % 0.45/0.65 (step @p340 :rule nary_cong :premises (@p339 @p337) :args (@t354)) % 0.45/0.65 (step @p341 :rule cong :premises (@p340) :args (@t355)) % 0.45/0.65 (step @p342 :rule cong :premises (@p341) :args (@t356)) % 0.45/0.65 (step @p343 :rule refl :args (@t196)) % 0.45/0.65 (step @p344 :rule nary_cong :premises (@p343 @p342 @p335 @p327) :args (@t357)) % 0.45/0.65 (step @p345 :rule refl :args (@t358)) % 0.45/0.65 (step @p346 :rule cong :premises (@p345 @p344) :args ((=> @t358 @t357))) % 0.45/0.65 (assume-push @p533 @t358) % 0.45/0.65 (step @p348 :rule instantiate :premises (@p320) :args ((@list @t189 @t187 @t190))) % 0.45/0.65 (step-pop @p534 :rule scope :premises (@p348)) % 0.45/0.65 (step @p349 :rule process_scope :premises (@p534) :args (@t357)) % 0.45/0.65 (step @p351 :rule eq_resolve :premises (@p349 @p346)) % 0.45/0.65 (step @p352 :rule implies_elim :premises (@p351)) % 0.45/0.65 (step @p353 :rule chain_m_resolution :premises (@p352 @p320) :args (@t364 @t291 (@list @t358))) % 0.45/0.65 (step @p354 :rule instantiate :premises (@p5) :args ((@list @t188 @t366 @t365))) % 0.45/0.65 (step @p355 :rule bool-double-not-elim :args (@t368)) % 0.45/0.65 (step @p356 :rule refl :args (@t373)) % 0.45/0.65 (step @p357 :rule nary_cong :premises (@p356 @p355) :args ((or @t373 (not @t372)))) % 0.45/0.65 (step @p358 :rule cnf_or_neg :args (@t373 0)) % 0.45/0.65 (step @p359 :rule eq_resolve :premises (@p358 @p357)) % 0.45/0.65 (step @p360 :rule reordering :premises (@p359) :args ((or @t368 @t373))) % 0.45/0.65 (step @p361 :rule chain_m_resolution :premises (@p360 @p354) :args (@t373 @t200 (@list @t368))) % 0.45/0.65 (step @p362 :rule refl :args (@t374)) % 0.45/0.65 (step @p363 :rule bool-double-not-elim :args (@t359)) % 0.45/0.65 (step @p364 :rule nary_cong :premises (@p363 @p362) :args ((or (not @t360) @t374))) % 0.45/0.65 (step @p365 :rule refl :args (@t370)) % 0.45/0.65 (step @p366 :rule refl :args (@t371)) % 0.45/0.65 (step @p367 :rule eq-symm :args (@t367 @t189)) % 0.45/0.65 (step @p368 :rule cong :premises (@p367) :args (@t375)) % 0.45/0.65 (step @p369 :rule nary_cong :premises (@p368 @p366 @p365) :args (@t376)) % 0.45/0.65 (step @p370 :rule cong :premises (@p369) :args (@t377)) % 0.45/0.65 (step @p371 :rule refl :args (@t360)) % 0.45/0.65 (step @p372 :rule cong :premises (@p371 @p370) :args ((=> @t360 @t377))) % 0.45/0.65 (assume-push @p535 @t360) % 0.45/0.65 (step @p374 :rule skolemize :premises (@p535)) % 0.45/0.65 (step-pop @p536 :rule scope :premises (@p374)) % 0.45/0.65 (step @p375 :rule process_scope :premises (@p536) :args (@t377)) % 0.45/0.65 (step @p377 :rule eq_resolve :premises (@p375 @p372)) % 0.45/0.65 (step @p378 :rule implies_elim :premises (@p377)) % 0.45/0.65 (step @p379 :rule eq_resolve :premises (@p378 @p364)) % 0.45/0.65 (step @p380 :rule chain_m_resolution :premises (@p379 @p361) :args (@t359 @t291 (@list @t373))) % 0.45/0.65 (step @p381 :rule instantiate :premises (@p4) :args ((@list @t188 @t380 @t379 @t378))) % 0.45/0.65 (step @p382 :rule bool-double-not-elim :args (@t382)) % 0.45/0.65 (step @p383 :rule refl :args (@t387)) % 0.45/0.65 (step @p384 :rule nary_cong :premises (@p383 @p382) :args ((or @t387 (not @t386)))) % 0.45/0.65 (step @p385 :rule cnf_or_neg :args (@t387 0)) % 0.45/0.65 (step @p386 :rule eq_resolve :premises (@p385 @p384)) % 0.45/0.65 (step @p387 :rule reordering :premises (@p386) :args ((or @t382 @t387))) % 0.45/0.65 (step @p388 :rule chain_m_resolution :premises (@p387 @p381) :args (@t387 @t200 (@list @t382))) % 0.45/0.65 (step @p389 :rule refl :args (@t388)) % 0.45/0.65 (step @p390 :rule bool-double-not-elim :args (@t361)) % 0.45/0.65 (step @p391 :rule nary_cong :premises (@p390 @p389) :args ((or (not @t362) @t388))) % 0.45/0.65 (step @p392 :rule refl :args (@t384)) % 0.45/0.65 (step @p393 :rule eq-symm :args (@t385 @t187)) % 0.45/0.65 (step @p394 :rule cong :premises (@p393) :args (@t389)) % 0.45/0.65 (step @p395 :rule eq-symm :args (@t381 @t189)) % 0.45/0.65 (step @p396 :rule cong :premises (@p395) :args (@t390)) % 0.45/0.65 (step @p397 :rule nary_cong :premises (@p396 @p394 @p392) :args (@t391)) % 0.45/0.65 (step @p398 :rule cong :premises (@p397) :args (@t392)) % 0.45/0.65 (step @p399 :rule refl :args (@t362)) % 0.45/0.65 (step @p400 :rule cong :premises (@p399 @p398) :args ((=> @t362 @t392))) % 0.45/0.65 (assume-push @p537 @t362) % 0.45/0.65 (step @p402 :rule skolemize :premises (@p537)) % 0.45/0.65 (step-pop @p538 :rule scope :premises (@p402)) % 0.45/0.65 (step @p403 :rule process_scope :premises (@p538) :args (@t392)) % 0.45/0.65 (step @p405 :rule eq_resolve :premises (@p403 @p400)) % 0.45/0.65 (step @p406 :rule implies_elim :premises (@p405)) % 0.45/0.65 (step @p407 :rule eq_resolve :premises (@p406 @p391)) % 0.45/0.65 (step @p408 :rule chain_m_resolution :premises (@p407 @p388) :args (@t361 @t291 (@list @t387))) % 0.45/0.65 (step @p409 :rule bool-double-not-elim :args (@t195)) % 0.45/0.65 (step @p410 :rule refl :args (@t198)) % 0.45/0.65 (step @p411 :rule nary_cong :premises (@p410 @p409) :args ((or @t198 (not @t196)))) % 0.45/0.65 (step @p412 :rule cnf_or_neg :args (@t198 1)) % 0.45/0.65 (step @p413 :rule eq_resolve :premises (@p412 @p411)) % 0.45/0.65 (step @p414 :rule reordering :premises (@p413) :args ((or @t195 @t198))) % 0.45/0.65 (step @p415 :rule chain_m_resolution :premises (@p414 @p73) :args (@t195 @t200 @t201)) % 0.45/0.65 (step @p416 :rule cnf_or_pos :args (@t364)) % 0.45/0.65 (step @p417 :rule reordering :premises (@p416) :args ((or @t196 @t363 @t362 @t360 (not @t364)))) % 0.45/0.65 (step @p418 :rule chain_m_resolution :premises (@p417 @p415 @p408 @p380 @p353) :args (@t363 (@list false false false false) (@list @t195 @t361 @t359 @t364))) % 0.45/0.65 (step @p419 :rule refl :args (@t399)) % 0.45/0.65 (step @p420 :rule bool-double-not-elim :args (@t318)) % 0.45/0.65 (step @p421 :rule nary_cong :premises (@p420 @p419) :args ((or (not @t363) @t399))) % 0.45/0.65 (step @p422 :rule refl :args (@t394)) % 0.45/0.65 (step @p423 :rule eq-symm :args (@t395 @t189)) % 0.45/0.65 (step @p424 :rule cong :premises (@p423) :args (@t400)) % 0.45/0.65 (step @p425 :rule nary_cong :premises (@p424 @p422) :args (@t401)) % 0.45/0.65 (step @p426 :rule cong :premises (@p425) :args (@t402)) % 0.45/0.65 (step @p427 :rule refl :args (@t363)) % 0.45/0.65 (step @p428 :rule cong :premises (@p427 @p426) :args ((=> @t363 @t402))) % 0.45/0.65 (assume-push @p539 @t363) % 0.45/0.65 (step @p430 :rule skolemize :premises (@p539)) % 0.45/0.65 (step-pop @p540 :rule scope :premises (@p430)) % 0.45/0.65 (step @p431 :rule process_scope :premises (@p540) :args (@t402)) % 0.45/0.65 (step @p433 :rule eq_resolve :premises (@p431 @p428)) % 0.45/0.65 (step @p434 :rule implies_elim :premises (@p433)) % 0.45/0.65 (step @p435 :rule eq_resolve :premises (@p434 @p421)) % 0.45/0.65 (step @p436 :rule chain_m_resolution :premises (@p435 @p418) :args (@t399 @t200 (@list @t318))) % 0.45/0.65 (step @p437 :rule bool-double-not-elim :args (@t396)) % 0.45/0.65 (step @p438 :rule refl :args (@t398)) % 0.45/0.65 (step @p439 :rule nary_cong :premises (@p438 @p437) :args ((or @t398 (not @t397)))) % 0.45/0.65 (step @p440 :rule cnf_or_neg :args (@t398 0)) % 0.45/0.65 (step @p441 :rule eq_resolve :premises (@p440 @p439)) % 0.45/0.65 (step @p442 :rule reordering :premises (@p441) :args ((or @t396 @t398))) % 0.45/0.65 (step @p443 :rule chain_m_resolution :premises (@p442 @p436) :args (@t396 @t200 @t403)) % 0.45/0.65 (step @p444 :rule cnf_or_pos :args (@t405)) % 0.45/0.65 (step @p445 :rule reordering :premises (@p444) :args ((or @t397 @t404 (not @t405)))) % 0.45/0.65 (step @p446 :rule chain_m_resolution :premises (@p445 @p443 @p283) :args (@t404 (@list false false) (@list @t396 @t405))) % 0.45/0.65 (step @p447 :rule bool-double-not-elim :args (@t393)) % 0.45/0.65 (step @p448 :rule nary_cong :premises (@p438 @p447) :args ((or @t398 (not @t394)))) % 0.45/0.65 (step @p449 :rule cnf_or_neg :args (@t398 1)) % 0.45/0.65 (step @p450 :rule eq_resolve :premises (@p449 @p448)) % 0.45/0.65 (step @p451 :rule reordering :premises (@p450) :args ((or @t393 @t398))) % 0.45/0.65 (step @p452 :rule chain_m_resolution :premises (@p451 @p436) :args (@t393 @t200 @t403)) % 0.45/0.65 (step @p453 :rule bool-impl-elim :args (@t145 @t144)) % 0.45/0.65 (step @p454 :rule cong :premises (@p453) :args (@t146)) % 0.45/0.65 (step @p455 :rule eq_resolve :premises (@p51 @p454)) % 0.45/0.65 (step @p456 :rule instantiate :premises (@p455) :args ((@list @t193 @t188 @t187))) % 0.45/0.65 (step @p457 :rule cnf_or_neg :args (@t198 2)) % 0.45/0.65 (step @p458 :rule chain_m_resolution :premises (@p457 @p73) :args ((not @t194) @t200 @t201)) % 0.45/0.65 (step @p459 :rule cnf_or_pos :args (@t408)) % 0.45/0.65 (step @p460 :rule reordering :premises (@p459) :args ((or @t194 @t407 (not @t408)))) % 0.45/0.65 (step @p461 :rule chain_m_resolution :premises (@p460 @p458 @p456) :args (@t407 @t409 (@list @t194 @t408))) % 0.45/0.65 (step @p462 :rule refl :args (@t410)) % 0.45/0.65 (step @p463 :rule refl :args (@t411)) % 0.45/0.65 (step @p464 :rule bool-double-not-elim :args (@t406)) % 0.45/0.65 (step @p465 :rule nary_cong :premises (@p464 @p422 @p463 @p462) :args ((or (not @t407) @t394 @t411 @t410))) % 0.45/0.65 (assume-push @p541 @t407) % 0.45/0.65 (assume-push @p542 @t393) % 0.45/0.65 (assume-push @p543 @t404) % 0.45/0.65 (assume-push @p544 @t407) % 0.45/0.65 (assume-push @p545 @t393) % 0.45/0.65 (assume-push @p546 @t404) % 0.45/0.65 (step @p472 :rule false_intro :premises (@p461)) % 0.45/0.65 (step @p473 :rule symm :premises (@p542)) % 0.45/0.65 (step @p474 :rule refl :args (@t190)) % 0.45/0.65 (step @p475 :rule cong :premises (@p543 @p474) :args (@t284)) % 0.45/0.65 (step @p476 :rule trans :premises (@p475 @p473)) % 0.45/0.65 (step @p477 :rule refl :args (@t285)) % 0.45/0.65 (step @p478 :rule cong :premises (@p477 @p476) :args (@t288)) % 0.45/0.65 (step @p479 :rule trans :premises (@p478 @p472)) % 0.45/0.65 (step @p480 :rule false_elim :premises (@p479)) % 0.45/0.65 (step-pop @p547 :rule scope :premises (@p480)) % 0.45/0.65 (step-pop @p548 :rule scope :premises (@p547)) % 0.45/0.65 (step-pop @p549 :rule scope :premises (@p548)) % 0.45/0.65 (step @p481 :rule process_scope :premises (@p549) :args (@t410)) % 0.45/0.65 (step @p485 :rule and_intro :premises (@p461 @p542 @p543)) % 0.45/0.65 (step @p486 :rule modus_ponens :premises (@p485 @p481)) % 0.45/0.65 (step-pop @p550 :rule scope :premises (@p486)) % 0.45/0.65 (step-pop @p551 :rule scope :premises (@p550)) % 0.45/0.65 (step-pop @p552 :rule scope :premises (@p551)) % 0.45/0.65 (step @p487 :rule process_scope :premises (@p552) :args (@t410)) % 0.45/0.65 (step @p491 :rule implies_elim :premises (@p487)) % 0.45/0.65 (step @p492 :rule cnf_and_neg :args (@t412)) % 0.45/0.65 (step @p493 :rule resolution :premises (@p492 @p491) :args (true @t412)) % 0.45/0.65 (step @p494 :rule eq_resolve :premises (@p493 @p465)) % 0.45/0.65 (step @p495 :rule chain_m_resolution :premises (@p494 @p461 @p452 @p446) :args (@t410 (@list true false false) (@list @t406 @t393 @t404))) % 0.45/0.65 (step @p496 :rule cnf_or_pos :args (@t290)) % 0.45/0.65 (step @p497 :rule reordering :premises (@p496) :args ((or @t289 @t288 (not @t290)))) % 0.45/0.65 (step @p498 :rule chain_m_resolution :premises (@p497 @p495 @p246) :args (@t289 @t409 (@list @t288 @t290))) % 0.45/0.65 (step @p499 :rule refl :args (@t413)) % 0.45/0.65 (step @p500 :rule refl :args (@t415)) % 0.45/0.65 (step @p501 :rule bool-double-not-elim :args (@t197)) % 0.45/0.65 (step @p502 :rule nary_cong :premises (@p501 @p500 @p499) :args ((or (not @t199) @t415 @t413))) % 0.45/0.65 (assume-push @p553 @t414) % 0.45/0.65 (assume-push @p554 @t289) % 0.45/0.65 (assume-push @p555 @t199) % 0.45/0.65 (step @p506 :rule evaluate :args ((= false true))) % 0.45/0.65 (step @p507 :rule true_intro :premises (@p155)) % 0.45/0.65 (step @p508 :rule refl :args (@t189)) % 0.45/0.65 (step @p509 :rule cong :premises (@p554 @p508) :args (@t197)) % 0.45/0.65 (step @p510 :rule false_intro :premises (@p75)) % 0.45/0.65 (step @p511 :rule symm :premises (@p510)) % 0.45/0.65 (step @p512 :rule trans :premises (@p511 @p509 @p507)) % 0.45/0.65 (step @p513 false :rule eq_resolve :premises (@p512 @p506)) % 0.45/0.65 (step-pop @p556 :rule scope :premises (@p513)) % 0.45/0.65 (step-pop @p557 :rule scope :premises (@p556)) % 0.45/0.65 (step-pop @p558 :rule scope :premises (@p557)) % 0.45/0.65 (step @p514 :rule process_scope :premises (@p558) :args (false)) % 0.45/0.65 (assume-push @p559 @t199) % 0.45/0.65 (assume-push @p560 @t414) % 0.45/0.65 (assume-push @p561 @t289) % 0.45/0.65 (step @p521 :rule and_intro :premises (@p155 @p561 @p75)) % 0.45/0.65 (step-pop @p562 :rule scope :premises (@p521)) % 0.45/0.65 (step-pop @p563 :rule scope :premises (@p562)) % 0.45/0.65 (step-pop @p564 :rule scope :premises (@p563)) % 0.45/0.65 (step @p522 :rule process_scope :premises (@p564) :args (@t416)) % 0.45/0.65 (step @p526 :rule implies_elim :premises (@p522)) % 0.45/0.65 (step @p527 :rule resolution :premises (@p526 @p514) :args (true @t416)) % 0.45/0.65 (step @p528 :rule not_and :premises (@p527)) % 0.45/0.65 (step @p529 :rule eq_resolve :premises (@p528 @p502)) % 0.45/0.65 (step @p530 false :rule chain_m_resolution :premises (@p529 @p498 @p155 @p75) :args (false (@list false false true) (@list @t289 @t414 @t197))) % 0.45/0.65 ) % 0.45/0.65 % SZS output end Proof % 0.45/0.65 % cvc5 exiting %------------------------------------------------------------------------------