%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COM123+1 : TPTP v9.2.1. Released v6.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n009.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 08:10:32 AM UTC 2026 % Result : Theorem 0.95s 1.18s % Output : Proof 0.95s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COM123+1 : TPTP v9.2.1. Released v6.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n009.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Mon Jun 1 20:30:29 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.95/1.18 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.95/1.18 % SZS status Theorem % 0.95/1.18 % SZS output start Proof % 0.95/1.18 ( % 0.95/1.18 (declare-sort $$unsorted 0) % 0.95/1.18 (declare-const tptp.varrow (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.18 (declare-const tptp.vgetSomeExp (-> $$unsorted $$unsorted)) % 0.95/1.18 (declare-const tptp.vsomeExp (-> $$unsorted $$unsorted)) % 0.95/1.18 (declare-const tptp.vnoExp $$unsorted) % 0.95/1.18 (declare-const tptp.veabs $$unsorted) % 0.95/1.18 (declare-const tptp.vsubst (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.95/1.18 (declare-const tptp.vgensym (-> $$unsorted $$unsorted)) % 0.95/1.18 (declare-const tptp.vapp (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.18 (declare-const tptp.visValue (-> $$unsorted Bool)) % 0.95/1.18 (declare-const tptp.vempty $$unsorted) % 0.95/1.18 (declare-const tptp.vbind (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.95/1.18 (declare-const tptp.vnoType $$unsorted) % 0.95/1.18 (declare-const tptp.visFreeVar (-> $$unsorted $$unsorted Bool)) % 0.95/1.18 (declare-const tptp.vtcheck (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.95/1.18 (declare-const tptp.vsomeType (-> $$unsorted $$unsorted)) % 0.95/1.18 (declare-const tptp.visSomeExp (-> $$unsorted Bool)) % 0.95/1.18 (declare-const tptp.vvar (-> $$unsorted $$unsorted)) % 0.95/1.18 (declare-const tptp.vlookup (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.18 (declare-const tptp.vabs (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.95/1.18 (declare-const tptp.visSomeType (-> $$unsorted Bool)) % 0.95/1.18 (declare-const tptp.vreduce (-> $$unsorted $$unsorted)) % 0.95/1.18 (declare-const tptp.vgetSomeType (-> $$unsorted $$unsorted)) % 0.95/1.18 (define @t1 () (@var "VVar1" $$unsorted)) % 0.95/1.18 (define @t2 () (@var "VVar0" $$unsorted)) % 0.95/1.18 (define @t3 () (tptp.vvar @t2)) % 0.95/1.18 (define @t4 () (= @t3 (tptp.vvar @t1))) % 0.95/1.18 (define @t5 () (= @t2 @t1)) % 0.95/1.18 (define @t6 () (@var "VExp1" $$unsorted)) % 0.95/1.18 (define @t7 () (@var "VTyp1" $$unsorted)) % 0.95/1.18 (define @t8 () (@var "VExp0" $$unsorted)) % 0.95/1.18 (define @t9 () (@var "VTyp0" $$unsorted)) % 0.95/1.18 (define @t10 () (tptp.vabs @t2 @t9 @t8)) % 0.95/1.18 (define @t11 () (= @t10 (tptp.vabs @t1 @t7 @t6))) % 0.95/1.18 (define @t12 () (= @t8 @t6)) % 0.95/1.18 (define @t13 () (= @t9 @t7)) % 0.95/1.18 (define @t14 () (and @t5 @t13 @t12)) % 0.95/1.18 (define @t15 () (and (=> @t11 @t14) (=> @t14 @t11))) % 0.95/1.19 (define @t16 () (@list @t2 @t9 @t8 @t1 @t7 @t6)) % 0.95/1.19 (define @t17 () (forall @t16 @t15)) % 0.95/1.19 (define @t18 () (@var "VExp3" $$unsorted)) % 0.95/1.19 (define @t19 () (@var "VExp2" $$unsorted)) % 0.95/1.19 (define @t20 () (tptp.vapp @t8 @t6)) % 0.95/1.19 (define @t21 () (= @t20 (tptp.vapp @t19 @t18))) % 0.95/1.19 (define @t22 () (and (= @t8 @t19) (= @t6 @t18))) % 0.95/1.19 (define @t23 () (forall (@list @t2 @t1 @t9 @t8) (not (= @t3 (tptp.vabs @t1 @t9 @t8))))) % 0.95/1.19 (define @t24 () (tptp.visValue @t8)) % 0.95/1.19 (define @t25 () (@var "Ve" $$unsorted)) % 0.95/1.19 (define @t26 () (@var "VS" $$unsorted)) % 0.95/1.19 (define @t27 () (@var "Vx" $$unsorted)) % 0.95/1.19 (define @t28 () (tptp.vabs @t27 @t26 @t25)) % 0.95/1.19 (define @t29 () (= @t8 @t28)) % 0.95/1.19 (define @t30 () (not @t24)) % 0.95/1.19 (define @t31 () (tptp.vvar @t27)) % 0.95/1.19 (define @t32 () (= @t8 @t31)) % 0.95/1.19 (define @t33 () (@var "Ve2" $$unsorted)) % 0.95/1.19 (define @t34 () (@var "Ve1" $$unsorted)) % 0.95/1.19 (define @t35 () (tptp.vapp @t34 @t33)) % 0.95/1.19 (define @t36 () (= @t8 @t35)) % 0.95/1.19 (define @t37 () (@var "Vv" $$unsorted)) % 0.95/1.19 (define @t38 () (= @t27 @t37)) % 0.95/1.19 (define @t39 () (tptp.visFreeVar @t2 @t8)) % 0.95/1.19 (define @t40 () (= @t2 @t37)) % 0.95/1.19 (define @t41 () (tptp.visFreeVar @t37 @t25)) % 0.95/1.19 (define @t42 () (not @t38)) % 0.95/1.19 (define @t43 () (and @t42 @t41)) % 0.95/1.19 (define @t44 () (and (=> @t43 @t39) (=> @t39 @t43))) % 0.95/1.19 (define @t45 () (@var "VT" $$unsorted)) % 0.95/1.19 (define @t46 () (tptp.vabs @t27 @t45 @t25)) % 0.95/1.19 (define @t47 () (= @t8 @t46)) % 0.95/1.19 (define @t48 () (and @t40 @t47)) % 0.95/1.19 (define @t49 () (@list @t45 @t2 @t8 @t27 @t37 @t25)) % 0.95/1.19 (define @t50 () (forall @t49 (=> @t48 @t44))) % 0.95/1.19 (define @t51 () (or (tptp.visFreeVar @t37 @t34) (tptp.visFreeVar @t37 @t33))) % 0.95/1.19 (define @t52 () (= tptp.vempty tptp.vempty)) % 0.95/1.19 (define @t53 () (@var "VCtx1" $$unsorted)) % 0.95/1.19 (define @t54 () (@var "VCtx0" $$unsorted)) % 0.95/1.19 (define @t55 () (tptp.vbind @t2 @t9 @t54)) % 0.95/1.19 (define @t56 () (= @t55 (tptp.vbind @t1 @t7 @t53))) % 0.95/1.19 (define @t57 () (and @t5 @t13 (= @t54 @t53))) % 0.95/1.19 (define @t58 () (= tptp.vnoType tptp.vnoType)) % 0.95/1.19 (define @t59 () (tptp.vsomeType @t9)) % 0.95/1.19 (define @t60 () (= @t59 (tptp.vsomeType @t7))) % 0.95/1.19 (define @t61 () (@var "VOptTyp0" $$unsorted)) % 0.95/1.19 (define @t62 () (tptp.visSomeType @t61)) % 0.95/1.19 (define @t63 () (= @t61 (tptp.vsomeType @t25))) % 0.95/1.19 (define @t64 () (@var "RESULT" $$unsorted)) % 0.95/1.19 (define @t65 () (= @t64 @t25)) % 0.95/1.19 (define @t66 () (= @t64 tptp.vnoType)) % 0.95/1.19 (define @t67 () (tptp.vlookup @t2 @t54)) % 0.95/1.19 (define @t68 () (= @t64 @t67)) % 0.95/1.19 (define @t69 () (= @t54 tptp.vempty)) % 0.95/1.19 (define @t70 () (= @t2 @t27)) % 0.95/1.19 (define @t71 () (@var "VTy" $$unsorted)) % 0.95/1.19 (define @t72 () (= @t64 (tptp.vsomeType @t71))) % 0.95/1.19 (define @t73 () (@var "Vy" $$unsorted)) % 0.95/1.19 (define @t74 () (= @t27 @t73)) % 0.95/1.19 (define @t75 () (@var "VC" $$unsorted)) % 0.95/1.19 (define @t76 () (tptp.vbind @t73 @t71 @t75)) % 0.95/1.19 (define @t77 () (= @t54 @t76)) % 0.95/1.19 (define @t78 () (and @t70 @t77)) % 0.95/1.19 (define @t79 () (tptp.vlookup @t27 @t75)) % 0.95/1.19 (define @t80 () (= @t64 @t79)) % 0.95/1.19 (define @t81 () (not @t74)) % 0.95/1.19 (define @t82 () (@list @t27)) % 0.95/1.19 (define @t83 () (@var "VTx" $$unsorted)) % 0.95/1.19 (define @t84 () (tptp.vbind @t27 @t83 @t75)) % 0.95/1.19 (define @t85 () (tptp.vtcheck (tptp.vbind @t27 @t83 @t76) @t25 @t45)) % 0.95/1.19 (define @t86 () (@list @t73 @t71 @t27 @t83 @t75 @t25 @t45)) % 0.95/1.19 (define @t87 () (tptp.vtcheck (tptp.vbind @t73 @t71 @t84) @t25 @t45)) % 0.95/1.19 (define @t88 () (and @t81 @t85)) % 0.95/1.19 (define @t89 () (forall @t86 (=> @t88 @t87))) % 0.95/1.19 (define @t90 () (not @t41)) % 0.95/1.19 (define @t91 () (tptp.vsubst @t2 @t8 @t6)) % 0.95/1.19 (define @t92 () (= @t64 @t91)) % 0.95/1.19 (define @t93 () (tptp.vvar @t73)) % 0.95/1.19 (define @t94 () (= @t6 @t93)) % 0.95/1.19 (define @t95 () (= @t8 @t25)) % 0.95/1.19 (define @t96 () (and @t70 @t95 @t94)) % 0.95/1.19 (define @t97 () (= @t64 @t93)) % 0.95/1.19 (define @t98 () (tptp.vsubst @t27 @t25 @t34)) % 0.95/1.19 (define @t99 () (= @t64 (tptp.vapp @t98 (tptp.vsubst @t27 @t25 @t33)))) % 0.95/1.19 (define @t100 () (= @t6 @t35)) % 0.95/1.19 (define @t101 () (tptp.vabs @t73 @t45 @t34)) % 0.95/1.19 (define @t102 () (= @t64 @t101)) % 0.95/1.19 (define @t103 () (= @t6 @t101)) % 0.95/1.19 (define @t104 () (and @t70 @t95 @t103)) % 0.95/1.19 (define @t105 () (@var "Vfresh" $$unsorted)) % 0.95/1.19 (define @t106 () (= @t64 (tptp.vsubst @t27 @t25 (tptp.vabs @t105 @t45 (tptp.vsubst @t73 (tptp.vvar @t105) @t34))))) % 0.95/1.19 (define @t107 () (= @t105 (tptp.vgensym (tptp.vapp (tptp.vapp @t25 @t34) @t31)))) % 0.95/1.19 (define @t108 () (tptp.visFreeVar @t73 @t25)) % 0.95/1.19 (define @t109 () (= @t64 (tptp.vabs @t73 @t45 @t98))) % 0.95/1.19 (define @t110 () (not @t108)) % 0.95/1.19 (define @t111 () (= tptp.vnoExp tptp.vnoExp)) % 0.95/1.19 (define @t112 () (tptp.vsomeExp @t8)) % 0.95/1.19 (define @t113 () (= @t112 (tptp.vsomeExp @t6))) % 0.95/1.19 (define @t114 () (@list @t8)) % 0.95/1.19 (define @t115 () (@var "VOptExp0" $$unsorted)) % 0.95/1.19 (define @t116 () (tptp.visSomeExp @t115)) % 0.95/1.19 (define @t117 () (= @t115 (tptp.vsomeExp @t25))) % 0.95/1.19 (define @t118 () (= @t64 tptp.vnoExp)) % 0.95/1.19 (define @t119 () (tptp.vreduce @t8)) % 0.95/1.19 (define @t120 () (= @t64 @t119)) % 0.95/1.19 (define @t121 () (=> @t120 @t118)) % 0.95/1.19 (define @t122 () (@var "Ve2red" $$unsorted)) % 0.95/1.19 (define @t123 () (tptp.vabs @t27 @t26 @t34)) % 0.95/1.19 (define @t124 () (= @t64 (tptp.vsomeExp (tptp.vapp @t123 (tptp.vgetSomeExp @t122))))) % 0.95/1.19 (define @t125 () (tptp.visSomeExp @t122)) % 0.95/1.19 (define @t126 () (= @t122 (tptp.vreduce @t33))) % 0.95/1.19 (define @t127 () (= @t8 (tptp.vapp @t123 @t33))) % 0.95/1.19 (define @t128 () (= @t64 (tptp.vsomeExp (tptp.vsubst @t27 @t33 @t34)))) % 0.95/1.19 (define @t129 () (tptp.visValue @t33)) % 0.95/1.19 (define @t130 () (not @t125)) % 0.95/1.19 (define @t131 () (not @t129)) % 0.95/1.19 (define @t132 () (@var "Ve1red" $$unsorted)) % 0.95/1.19 (define @t133 () (= @t64 (tptp.vsomeExp (tptp.vapp (tptp.vgetSomeExp @t132) @t33)))) % 0.95/1.19 (define @t134 () (tptp.visSomeExp @t132)) % 0.95/1.19 (define @t135 () (= @t132 (tptp.vreduce @t34))) % 0.95/1.19 (define @t136 () (@var "VVe10" $$unsorted)) % 0.95/1.19 (define @t137 () (@var "VVS0" $$unsorted)) % 0.95/1.19 (define @t138 () (@var "VVx0" $$unsorted)) % 0.95/1.19 (define @t139 () (forall (@list @t138 @t137 @t136) (not (= @t34 (tptp.vabs @t138 @t137 @t136))))) % 0.95/1.19 (define @t140 () (and @t36 @t139)) % 0.95/1.19 (define @t141 () (not @t134)) % 0.95/1.19 (define @t142 () (@var "VTyp3" $$unsorted)) % 0.95/1.19 (define @t143 () (@var "VTyp2" $$unsorted)) % 0.95/1.19 (define @t144 () (= (tptp.varrow @t9 @t7) (tptp.varrow @t143 @t142))) % 0.95/1.19 (define @t145 () (and (= @t9 @t143) (= @t7 @t142))) % 0.95/1.19 (define @t146 () (= @t79 (tptp.vsomeType @t45))) % 0.95/1.19 (define @t147 () (tptp.varrow @t26 @t45)) % 0.95/1.19 (define @t148 () (tptp.vtcheck @t75 @t28 @t147)) % 0.95/1.19 (define @t149 () (tptp.vbind @t27 @t26 @t75)) % 0.95/1.19 (define @t150 () (tptp.vtcheck @t149 @t25 @t45)) % 0.95/1.19 (define @t151 () (forall (@list @t75 @t27 @t25 @t26 @t45) (=> @t150 @t148))) % 0.95/1.19 (define @t152 () (tptp.vtcheck @t75 @t33 @t26)) % 0.95/1.19 (define @t153 () (tptp.vtcheck @t75 @t34 @t147)) % 0.95/1.19 (define @t154 () (and @t153 @t152)) % 0.95/1.19 (define @t155 () (= @t25 @t35)) % 0.95/1.19 (define @t156 () (and @t155 @t153 @t152)) % 0.95/1.19 (define @t157 () (@list @t34 @t33 @t26)) % 0.95/1.19 (define @t158 () (exists @t157 @t156)) % 0.95/1.19 (define @t159 () (@var "VT2" $$unsorted)) % 0.95/1.19 (define @t160 () (@var "VT1" $$unsorted)) % 0.95/1.19 (define @t161 () (tptp.vtcheck (tptp.vbind @t27 @t160 @t75) @t33 @t159)) % 0.95/1.19 (define @t162 () (tptp.varrow @t160 @t159)) % 0.95/1.19 (define @t163 () (= @t45 @t162)) % 0.95/1.19 (define @t164 () (tptp.vabs @t27 @t160 @t33)) % 0.95/1.19 (define @t165 () (= @t25 @t164)) % 0.95/1.19 (define @t166 () (and @t165 @t163 @t161)) % 0.95/1.19 (define @t167 () (@list @t27 @t33 @t160 @t159)) % 0.95/1.19 (define @t168 () (exists @t167 @t166)) % 0.95/1.19 (define @t169 () (= @t25 @t31)) % 0.95/1.19 (define @t170 () (and @t169 @t146)) % 0.95/1.19 (define @t171 () (exists @t82 @t170)) % 0.95/1.19 (define @t172 () (or @t171 @t168 @t158)) % 0.95/1.19 (define @t173 () (tptp.vtcheck @t75 @t25 @t45)) % 0.95/1.19 (define @t174 () (=> @t173 @t172)) % 0.95/1.19 (define @t175 () (@list @t25 @t45 @t75)) % 0.95/1.19 (define @t176 () (forall @t175 @t174)) % 0.95/1.19 (define @t177 () (@list @t27 @t26 @t75 @t25 @t45)) % 0.95/1.19 (define @t178 () (tptp.vtcheck @t149 tptp.veabs @t45)) % 0.95/1.19 (define @t179 () (tptp.vtcheck @t75 tptp.veabs @t45)) % 0.95/1.19 (define @t180 () (tptp.visFreeVar @t27 tptp.veabs)) % 0.95/1.19 (define @t181 () (not @t180)) % 0.95/1.19 (define @t182 () (and @t181 @t179)) % 0.95/1.19 (define @t183 () (forall (@list @t27 @t26 @t75 @t45) (=> @t182 @t178))) % 0.95/1.19 (define @t184 () (@var "VS1" $$unsorted)) % 0.95/1.19 (define @t185 () (tptp.vabs @t73 @t184 tptp.veabs)) % 0.95/1.19 (define @t186 () (tptp.vtcheck @t149 @t185 @t45)) % 0.95/1.19 (define @t187 () (tptp.vtcheck @t75 @t185 @t45)) % 0.95/1.19 (define @t188 () (tptp.visFreeVar @t27 @t185)) % 0.95/1.19 (define @t189 () (not @t188)) % 0.95/1.19 (define @t190 () (and @t81 @t189 @t187)) % 0.95/1.19 (define @t191 () (@list @t27 @t26 @t75 @t73 @t184 @t45)) % 0.95/1.19 (define @t192 () (forall @t191 (=> @t190 @t186))) % 0.95/1.19 (define @t193 () (not @t192)) % 0.95/1.19 (define @t194 () (@var "BOUND_VARIABLE_8358" $$unsorted)) % 0.95/1.19 (define @t195 () (@var "BOUND_VARIABLE_8352" $$unsorted)) % 0.95/1.19 (define @t196 () (@var "BOUND_VARIABLE_8354" $$unsorted)) % 0.95/1.19 (define @t197 () (@var "BOUND_VARIABLE_8356" $$unsorted)) % 0.95/1.19 (define @t198 () (forall (@list @t195 @t196 @t197 @t194) (or (tptp.visFreeVar @t197 @t194) (not (tptp.visFreeVar @t197 (tptp.vabs @t196 @t195 @t194)))))) % 0.95/1.19 (define @t199 () (@var "BOUND_VARIABLE_8342" $$unsorted)) % 0.95/1.19 (define @t200 () (@var "BOUND_VARIABLE_8336" $$unsorted)) % 0.95/1.19 (define @t201 () (@var "BOUND_VARIABLE_8340" $$unsorted)) % 0.95/1.19 (define @t202 () (not (tptp.visFreeVar @t201 (tptp.vabs @t201 @t200 @t199)))) % 0.95/1.19 (define @t203 () (@list @t200 @t201 @t199)) % 0.95/1.19 (define @t204 () (forall @t203 @t202)) % 0.95/1.19 (define @t205 () (@var "BOUND_VARIABLE_8301" $$unsorted)) % 0.95/1.19 (define @t206 () (@var "BOUND_VARIABLE_8295" $$unsorted)) % 0.95/1.19 (define @t207 () (@var "BOUND_VARIABLE_8297" $$unsorted)) % 0.95/1.19 (define @t208 () (@var "BOUND_VARIABLE_8299" $$unsorted)) % 0.95/1.19 (define @t209 () (forall (@list @t206 @t207 @t208 @t205) (or (= @t207 @t208) (not (tptp.visFreeVar @t208 @t205)) (tptp.visFreeVar @t208 (tptp.vabs @t207 @t206 @t205))))) % 0.95/1.19 (define @t210 () (not (= @t201 @t201))) % 0.95/1.19 (define @t211 () (or @t210 @t202)) % 0.95/1.19 (define @t212 () (@var "BOUND_VARIABLE_8338" $$unsorted)) % 0.95/1.19 (define @t213 () (not (tptp.visFreeVar @t201 (tptp.vabs @t212 @t200 @t199)))) % 0.95/1.19 (define @t214 () (not (= @t212 @t201))) % 0.95/1.19 (define @t215 () (or @t214 @t214 @t213)) % 0.95/1.19 (define @t216 () (@list @t212)) % 0.95/1.19 (define @t217 () (or @t214 @t213)) % 0.95/1.19 (define @t218 () (forall @t216 @t217)) % 0.95/1.19 (define @t219 () (forall @t203 @t218)) % 0.95/1.19 (define @t220 () (forall (@list @t200 @t201 @t199 @t212) @t217)) % 0.95/1.19 (define @t221 () (forall (@list @t200 @t212 @t201 @t199) @t217)) % 0.95/1.19 (define @t222 () (@var "BOUND_VARIABLE_8317" $$unsorted)) % 0.95/1.19 (define @t223 () (@var "BOUND_VARIABLE_8311" $$unsorted)) % 0.95/1.19 (define @t224 () (@var "BOUND_VARIABLE_8313" $$unsorted)) % 0.95/1.19 (define @t225 () (@var "BOUND_VARIABLE_8315" $$unsorted)) % 0.95/1.19 (define @t226 () (not (tptp.visFreeVar @t225 (tptp.vabs @t224 @t223 @t222)))) % 0.95/1.19 (define @t227 () (tptp.visFreeVar @t225 @t222)) % 0.95/1.19 (define @t228 () (or @t227 @t226)) % 0.95/1.19 (define @t229 () (@list @t223 @t224 @t225 @t222)) % 0.95/1.19 (define @t230 () (forall @t229 @t228)) % 0.95/1.19 (define @t231 () (@list @t223 @t224 @t225 @t222)) % 0.95/1.19 (define @t232 () (not (= @t224 @t225))) % 0.95/1.19 (define @t233 () (or @t232 @t226)) % 0.95/1.19 (define @t234 () (forall @t229 @t233)) % 0.95/1.19 (define @t235 () (and @t234 @t230)) % 0.95/1.19 (define @t236 () (and @t232 @t227)) % 0.95/1.19 (define @t237 () (or @t236 @t226)) % 0.95/1.19 (define @t238 () (or @t226 @t236)) % 0.95/1.19 (define @t239 () (forall @t229 @t238)) % 0.95/1.19 (define @t240 () (tptp.visFreeVar @t37 @t46)) % 0.95/1.19 (define @t241 () (or (not @t240) @t43)) % 0.95/1.19 (define @t242 () (@list @t45 @t27 @t37 @t25)) % 0.95/1.19 (define @t243 () (forall @t242 @t241)) % 0.95/1.19 (define @t244 () (@list @t45 @t27 @t37 @t25)) % 0.95/1.19 (define @t245 () (or @t38 @t90 @t240)) % 0.95/1.19 (define @t246 () (forall @t242 @t245)) % 0.95/1.19 (define @t247 () (and @t246 @t243)) % 0.95/1.19 (define @t248 () (and @t245 @t241)) % 0.95/1.19 (define @t249 () (not (= @t46 @t46))) % 0.95/1.19 (define @t250 () (or @t249 @t248)) % 0.95/1.19 (define @t251 () (tptp.visFreeVar @t37 @t8)) % 0.95/1.19 (define @t252 () (and (or @t38 @t90 @t251) (or (not @t251) @t43))) % 0.95/1.19 (define @t253 () (not @t47)) % 0.95/1.19 (define @t254 () (or @t253 @t253 @t252)) % 0.95/1.19 (define @t255 () (or @t253 @t252)) % 0.95/1.19 (define @t256 () (forall @t114 @t255)) % 0.95/1.19 (define @t257 () (forall @t242 @t256)) % 0.95/1.19 (define @t258 () (forall (@list @t45 @t27 @t37 @t25 @t8) @t255)) % 0.95/1.19 (define @t259 () (@list @t45 @t8 @t27 @t37 @t25)) % 0.95/1.19 (define @t260 () (not (= @t37 @t37))) % 0.95/1.19 (define @t261 () (or @t260 @t253 @t252)) % 0.95/1.19 (define @t262 () (or @t38 @t90 @t39)) % 0.95/1.19 (define @t263 () (and @t262 (or (not @t39) @t43))) % 0.95/1.19 (define @t264 () (not @t40)) % 0.95/1.19 (define @t265 () (or @t264 @t264 @t253 @t263)) % 0.95/1.19 (define @t266 () (@list @t2)) % 0.95/1.19 (define @t267 () (or @t264 @t253 @t263)) % 0.95/1.19 (define @t268 () (forall @t266 @t267)) % 0.95/1.19 (define @t269 () (forall @t259 @t268)) % 0.95/1.19 (define @t270 () (forall (@list @t45 @t8 @t27 @t37 @t25 @t2) @t267)) % 0.95/1.19 (define @t271 () (not @t187)) % 0.95/1.19 (define @t272 () (or @t74 @t188 @t271 @t186)) % 0.95/1.19 (define @t273 () (forall @t191 @t272)) % 0.95/1.19 (define @t274 () (@quantifiers_skolemize @t273 4)) % 0.95/1.19 (define @t275 () (@quantifiers_skolemize @t273 3)) % 0.95/1.19 (define @t276 () (tptp.vabs @t275 @t274 tptp.veabs)) % 0.95/1.19 (define @t277 () (@quantifiers_skolemize @t273 0)) % 0.95/1.19 (define @t278 () (tptp.visFreeVar @t277 @t276)) % 0.95/1.19 (define @t279 () (tptp.visFreeVar @t277 tptp.veabs)) % 0.95/1.19 (define @t280 () (not @t279)) % 0.95/1.19 (define @t281 () (or (= @t275 @t277) @t280 @t278)) % 0.95/1.19 (define @t282 () (= @t277 @t275)) % 0.95/1.19 (define @t283 () (or @t282 @t280 @t278)) % 0.95/1.19 (define @t284 () (@list false)) % 0.95/1.19 (define @t285 () (not @t189)) % 0.95/1.19 (define @t286 () (not @t81)) % 0.95/1.19 (define @t287 () (or @t286 @t285 @t271)) % 0.95/1.19 (define @t288 () (@quantifiers_skolemize @t273 5)) % 0.95/1.19 (define @t289 () (@quantifiers_skolemize @t273 2)) % 0.95/1.19 (define @t290 () (@quantifiers_skolemize @t273 1)) % 0.95/1.19 (define @t291 () (tptp.vbind @t277 @t290 @t289)) % 0.95/1.19 (define @t292 () (tptp.vtcheck @t291 @t276 @t288)) % 0.95/1.19 (define @t293 () (tptp.vtcheck @t289 @t276 @t288)) % 0.95/1.19 (define @t294 () (not @t293)) % 0.95/1.19 (define @t295 () (or @t282 @t278 @t294 @t292)) % 0.95/1.19 (define @t296 () (@list true)) % 0.95/1.19 (define @t297 () (@list @t295)) % 0.95/1.19 (define @t298 () (not @t282)) % 0.95/1.19 (define @t299 () (@list true true false)) % 0.95/1.19 (define @t300 () (not @t179)) % 0.95/1.19 (define @t301 () (not (tptp.vtcheck (tptp.vbind @t27 @t160 @t289) @t33 @t159))) % 0.95/1.19 (define @t302 () (forall @t167 (or (not (= @t164 @t276)) (not (= @t162 @t288)) @t301))) % 0.95/1.19 (define @t303 () (@quantifiers_skolemize @t302 3)) % 0.95/1.19 (define @t304 () (@quantifiers_skolemize @t302 2)) % 0.95/1.19 (define @t305 () (@quantifiers_skolemize @t302 0)) % 0.95/1.19 (define @t306 () (tptp.vbind @t305 @t304 @t289)) % 0.95/1.19 (define @t307 () (not @t85)) % 0.95/1.19 (define @t308 () (@quantifiers_skolemize @t302 1)) % 0.95/1.19 (define @t309 () (not @t152)) % 0.95/1.19 (define @t310 () (not @t153)) % 0.95/1.19 (define @t311 () (not @t155)) % 0.95/1.19 (define @t312 () (or @t311 @t310 @t309)) % 0.95/1.19 (define @t313 () (not (forall @t157 @t312))) % 0.95/1.19 (define @t314 () (not @t161)) % 0.95/1.19 (define @t315 () (not @t163)) % 0.95/1.19 (define @t316 () (not @t165)) % 0.95/1.19 (define @t317 () (or @t316 @t315 @t314)) % 0.95/1.19 (define @t318 () (not (forall @t167 @t317))) % 0.95/1.19 (define @t319 () (not (forall @t82 (or (not @t169) (not @t146))))) % 0.95/1.19 (define @t320 () (not @t173)) % 0.95/1.19 (define @t321 () (or @t320 @t319 @t318 @t313)) % 0.95/1.19 (define @t322 () (or @t319 @t318 @t313)) % 0.95/1.19 (define @t323 () (forall @t157 (not @t156))) % 0.95/1.19 (define @t324 () (not @t323)) % 0.95/1.19 (define @t325 () (forall @t167 (not @t166))) % 0.95/1.19 (define @t326 () (not @t325)) % 0.95/1.19 (define @t327 () (forall @t82 (not @t170))) % 0.95/1.19 (define @t328 () (not @t327)) % 0.95/1.19 (define @t329 () (not (tptp.vtcheck @t289 @t33 @t26))) % 0.95/1.19 (define @t330 () (not (tptp.vtcheck @t289 @t34 (tptp.varrow @t26 @t288)))) % 0.95/1.19 (define @t331 () (not (= @t276 @t35))) % 0.95/1.19 (define @t332 () (or @t331 @t330 @t329)) % 0.95/1.19 (define @t333 () (forall @t157 @t332)) % 0.95/1.19 (define @t334 () (not @t333)) % 0.95/1.19 (define @t335 () (not (= @t288 @t162))) % 0.95/1.19 (define @t336 () (not (= @t276 @t164))) % 0.95/1.19 (define @t337 () (or @t336 @t335 @t301)) % 0.95/1.19 (define @t338 () (forall @t167 @t337)) % 0.95/1.19 (define @t339 () (not @t338)) % 0.95/1.19 (define @t340 () (tptp.vsomeType @t288)) % 0.95/1.19 (define @t341 () (not (= (tptp.vlookup @t27 @t289) @t340))) % 0.95/1.19 (define @t342 () (not (= @t276 @t31))) % 0.95/1.19 (define @t343 () (or @t342 @t341)) % 0.95/1.19 (define @t344 () (forall @t82 @t343)) % 0.95/1.19 (define @t345 () (not @t344)) % 0.95/1.19 (define @t346 () (or @t294 @t345 @t339 @t334)) % 0.95/1.19 (define @t347 () (forall @t175 @t321)) % 0.95/1.19 (define @t348 () (forall @t157 (or (not (= @t35 @t276)) @t330 @t329))) % 0.95/1.19 (define @t349 () (not @t348)) % 0.95/1.19 (define @t350 () (not @t302)) % 0.95/1.19 (define @t351 () (forall @t82 (or (not (= @t31 @t276)) @t341))) % 0.95/1.19 (define @t352 () (not @t351)) % 0.95/1.19 (define @t353 () (or @t294 @t352 @t350 @t349)) % 0.95/1.19 (define @t354 () (@quantifiers_skolemize @t348 1)) % 0.95/1.19 (define @t355 () (@quantifiers_skolemize @t348 0)) % 0.95/1.19 (define @t356 () (tptp.vapp @t355 @t354)) % 0.95/1.19 (define @t357 () (= @t276 @t356)) % 0.95/1.19 (define @t358 () (@quantifiers_skolemize @t348 2)) % 0.95/1.19 (define @t359 () (not (tptp.vtcheck @t289 @t354 @t358))) % 0.95/1.19 (define @t360 () (not (tptp.vtcheck @t289 @t355 (tptp.varrow @t358 @t288)))) % 0.95/1.19 (define @t361 () (not @t357)) % 0.95/1.19 (define @t362 () (or @t361 @t360 @t359)) % 0.95/1.19 (define @t363 () (not @t362)) % 0.95/1.19 (define @t364 () (not (= @t356 @t276))) % 0.95/1.19 (define @t365 () (or @t364 @t360 @t359)) % 0.95/1.19 (define @t366 () (not @t365)) % 0.95/1.19 (define @t367 () (@quantifiers_skolemize @t351 0)) % 0.95/1.19 (define @t368 () (tptp.vvar @t367)) % 0.95/1.19 (define @t369 () (not (= @t368 @t276))) % 0.95/1.19 (define @t370 () (= @t276 @t368)) % 0.95/1.19 (define @t371 () (not @t370)) % 0.95/1.19 (define @t372 () (tptp.vlookup @t367 @t289)) % 0.95/1.19 (define @t373 () (or @t371 (not (= @t340 @t372)))) % 0.95/1.19 (define @t374 () (not @t373)) % 0.95/1.19 (define @t375 () (not (= @t372 @t340))) % 0.95/1.19 (define @t376 () (or @t369 @t375)) % 0.95/1.19 (define @t377 () (not @t376)) % 0.95/1.19 (define @t378 () (tptp.vtcheck @t306 @t308 @t303)) % 0.95/1.19 (define @t379 () (not @t378)) % 0.95/1.19 (define @t380 () (tptp.varrow @t304 @t303)) % 0.95/1.19 (define @t381 () (= @t288 @t380)) % 0.95/1.19 (define @t382 () (not @t381)) % 0.95/1.19 (define @t383 () (tptp.vabs @t305 @t304 @t308)) % 0.95/1.19 (define @t384 () (= @t276 @t383)) % 0.95/1.19 (define @t385 () (not @t384)) % 0.95/1.19 (define @t386 () (or @t385 @t382 @t379)) % 0.95/1.19 (define @t387 () (not @t386)) % 0.95/1.19 (define @t388 () (not (= @t380 @t288))) % 0.95/1.19 (define @t389 () (not (= @t383 @t276))) % 0.95/1.19 (define @t390 () (or @t389 @t388 @t379)) % 0.95/1.19 (define @t391 () (not @t390)) % 0.95/1.19 (define @t392 () (@list @t386)) % 0.95/1.19 (define @t393 () (not @t292)) % 0.95/1.19 (define @t394 () (tptp.vtcheck @t291 @t383 @t380)) % 0.95/1.19 (define @t395 () (not @t394)) % 0.95/1.19 (define @t396 () (and @t393 @t384 @t381)) % 0.95/1.19 (define @t397 () (tptp.vtcheck (tptp.vbind @t305 @t304 @t291) @t308 @t303)) % 0.95/1.19 (define @t398 () (not @t397)) % 0.95/1.19 (define @t399 () (or @t398 @t394)) % 0.95/1.19 (define @t400 () (@list true false)) % 0.95/1.19 (define @t401 () (@var "BOUND_VARIABLE_8028" $$unsorted)) % 0.95/1.19 (define @t402 () (@var "BOUND_VARIABLE_8022" $$unsorted)) % 0.95/1.19 (define @t403 () (@var "BOUND_VARIABLE_8026" $$unsorted)) % 0.95/1.19 (define @t404 () (@var "BOUND_VARIABLE_8020" $$unsorted)) % 0.95/1.19 (define @t405 () (@var "BOUND_VARIABLE_8024" $$unsorted)) % 0.95/1.19 (define @t406 () (@var "BOUND_VARIABLE_8018" $$unsorted)) % 0.95/1.19 (define @t407 () (forall (@list @t406 @t404 @t402 @t405 @t403 @t401) (or (not (= (tptp.vabs @t406 @t404 @t402) (tptp.vabs @t405 @t403 @t401))) (and (= @t406 @t405) (= @t404 @t403) (= @t402 @t401))))) % 0.95/1.19 (define @t408 () (@var "BOUND_VARIABLE_8051" $$unsorted)) % 0.95/1.19 (define @t409 () (@var "BOUND_VARIABLE_8049" $$unsorted)) % 0.95/1.19 (define @t410 () (@var "BOUND_VARIABLE_8047" $$unsorted)) % 0.95/1.19 (define @t411 () (@list @t410 @t409 @t408)) % 0.95/1.19 (define @t412 () (tptp.vabs @t410 @t409 @t408)) % 0.95/1.19 (define @t413 () (not (= @t408 @t408))) % 0.95/1.19 (define @t414 () (or @t413 (= @t412 @t412))) % 0.95/1.19 (define @t415 () (@var "BOUND_VARIABLE_8045" $$unsorted)) % 0.95/1.19 (define @t416 () (= @t412 (tptp.vabs @t410 @t409 @t415))) % 0.95/1.19 (define @t417 () (not (= @t415 @t408))) % 0.95/1.19 (define @t418 () (or @t417 @t417 @t416)) % 0.95/1.19 (define @t419 () (@list @t415)) % 0.95/1.19 (define @t420 () (or @t417 @t416)) % 0.95/1.19 (define @t421 () (forall @t419 @t420)) % 0.95/1.19 (define @t422 () (forall @t411 @t421)) % 0.95/1.19 (define @t423 () (forall (@list @t410 @t409 @t408 @t415) @t420)) % 0.95/1.19 (define @t424 () (@list @t415 @t410 @t409 @t408)) % 0.95/1.19 (define @t425 () (not (= @t409 @t409))) % 0.95/1.19 (define @t426 () (or @t425 @t417 @t416)) % 0.95/1.19 (define @t427 () (@var "BOUND_VARIABLE_8043" $$unsorted)) % 0.95/1.19 (define @t428 () (tptp.vabs @t410 @t427 @t415)) % 0.95/1.19 (define @t429 () (= @t412 @t428)) % 0.95/1.19 (define @t430 () (not (= @t427 @t409))) % 0.95/1.19 (define @t431 () (or @t430 @t430 @t417 @t429)) % 0.95/1.19 (define @t432 () (@list @t427)) % 0.95/1.19 (define @t433 () (or @t430 @t417 @t429)) % 0.95/1.19 (define @t434 () (forall @t432 @t433)) % 0.95/1.19 (define @t435 () (forall @t424 @t434)) % 0.95/1.19 (define @t436 () (forall (@list @t415 @t410 @t409 @t408 @t427) @t433)) % 0.95/1.19 (define @t437 () (@list @t427 @t415 @t410 @t409 @t408)) % 0.95/1.19 (define @t438 () (not (= @t410 @t410))) % 0.95/1.19 (define @t439 () (or @t438 @t430 @t417 (= @t428 @t412))) % 0.95/1.19 (define @t440 () (@var "BOUND_VARIABLE_8041" $$unsorted)) % 0.95/1.19 (define @t441 () (= (tptp.vabs @t440 @t427 @t415) @t412)) % 0.95/1.19 (define @t442 () (not (= @t440 @t410))) % 0.95/1.19 (define @t443 () (or @t442 @t442 @t430 @t417 @t441)) % 0.95/1.19 (define @t444 () (@list @t440)) % 0.95/1.19 (define @t445 () (or @t442 @t430 @t417 @t441)) % 0.95/1.19 (define @t446 () (forall @t444 @t445)) % 0.95/1.19 (define @t447 () (forall @t437 @t446)) % 0.95/1.19 (define @t448 () (forall (@list @t427 @t415 @t410 @t409 @t408 @t440) @t445)) % 0.95/1.19 (define @t449 () (forall (@list @t440 @t427 @t415 @t410 @t409 @t408) @t445)) % 0.95/1.19 (define @t450 () (not @t12)) % 0.95/1.19 (define @t451 () (not @t13)) % 0.95/1.19 (define @t452 () (not @t5)) % 0.95/1.19 (define @t453 () (or @t452 @t451 @t450 @t11)) % 0.95/1.19 (define @t454 () (forall @t16 @t453)) % 0.95/1.19 (define @t455 () (@list @t2 @t9 @t8 @t1 @t7 @t6)) % 0.95/1.19 (define @t456 () (or (not @t11) @t14)) % 0.95/1.19 (define @t457 () (forall @t16 @t456)) % 0.95/1.19 (define @t458 () (and @t457 @t454)) % 0.95/1.19 (define @t459 () (or @t452 @t451 @t450)) % 0.95/1.19 (define @t460 () (= tptp.veabs @t308)) % 0.95/1.19 (define @t461 () (= @t275 @t305)) % 0.95/1.19 (define @t462 () (and @t461 (= @t274 @t304) @t460)) % 0.95/1.19 (define @t463 () (or @t385 @t462)) % 0.95/1.19 (define @t464 () (@list false false)) % 0.95/1.19 (define @t465 () (not @t462)) % 0.95/1.19 (define @t466 () (@list @t462)) % 0.95/1.19 (define @t467 () (= @t277 @t305)) % 0.95/1.19 (define @t468 () (not @t467)) % 0.95/1.19 (define @t469 () (not @t461)) % 0.95/1.19 (define @t470 () (and @t298 @t461)) % 0.95/1.19 (define @t471 () (tptp.vbind @t277 @t290 @t306)) % 0.95/1.19 (define @t472 () (tptp.vtcheck @t471 @t308 @t303)) % 0.95/1.19 (define @t473 () (not @t472)) % 0.95/1.19 (define @t474 () (or @t467 @t473 @t397)) % 0.95/1.19 (define @t475 () (tptp.vtcheck @t471 tptp.veabs @t303)) % 0.95/1.19 (define @t476 () (not @t475)) % 0.95/1.19 (define @t477 () (not @t460)) % 0.95/1.19 (define @t478 () (and @t460 @t473)) % 0.95/1.19 (define @t479 () (tptp.vtcheck @t306 tptp.veabs @t303)) % 0.95/1.19 (define @t480 () (and @t378 @t460)) % 0.95/1.19 (define @t481 () (not @t479)) % 0.95/1.19 (define @t482 () (or @t279 @t481 @t475)) % 0.95/1.19 (assume @p1 (forall (@list @t2 @t1) (and (=> @t4 @t5) (=> @t5 @t4)))) % 0.95/1.19 (assume @p2 @t17) % 0.95/1.19 (assume @p3 (forall (@list @t8 @t6 @t19 @t18) (and (=> @t21 @t22) (=> @t22 @t21)))) % 0.95/1.19 (assume @p4 @t23) % 0.95/1.19 (assume @p5 (forall (@list @t2 @t8 @t6) (not (= @t3 @t20)))) % 0.95/1.19 (assume @p6 (forall (@list @t2 @t9 @t8 @t6 @t19) (not (= @t10 (tptp.vapp @t6 @t19))))) % 0.95/1.19 (assume @p7 (forall (@list @t27 @t26 @t25 @t8) (=> @t29 @t24))) % 0.95/1.19 (assume @p8 (forall (@list @t27 @t8) (=> @t32 @t30))) % 0.95/1.19 (assume @p9 (forall (@list @t34 @t33 @t8) (=> @t36 @t30))) % 0.95/1.19 (assume @p10 (forall (@list @t2 @t8 @t27 @t37) (=> (and @t40 @t32) (and (=> @t38 @t39) (=> @t39 @t38))))) % 0.95/1.19 (assume @p11 @t50) % 0.95/1.19 (assume @p12 (forall (@list @t2 @t8 @t34 @t37 @t33) (=> (and @t40 @t36) (and (=> @t51 @t39) (=> @t39 @t51))))) % 0.95/1.19 (assume @p13 (and (=> @t52 true) (=> true @t52))) % 0.95/1.19 (assume @p14 (forall (@list @t2 @t9 @t54 @t1 @t7 @t53) (and (=> @t56 @t57) (=> @t57 @t56)))) % 0.95/1.19 (assume @p15 (and (=> @t58 true) (=> true @t58))) % 0.95/1.19 (assume @p16 (forall (@list @t9 @t7) (and (=> @t60 @t13) (=> @t13 @t60)))) % 0.95/1.19 (assume @p17 (forall (@list @t2 @t9 @t54) (not (= tptp.vempty @t55)))) % 0.95/1.19 (assume @p18 (forall (@list @t9) (not (= tptp.vnoType @t59)))) % 0.95/1.19 (assume @p19 (forall (@list @t61) (=> (= @t61 tptp.vnoType) (not @t62)))) % 0.95/1.19 (assume @p20 (forall (@list @t25 @t61) (=> @t63 @t62))) % 0.95/1.19 (assume @p21 (forall (@list @t61 @t64 @t25) (=> @t63 (=> (= @t64 (tptp.vgetSomeType @t61)) @t65)))) % 0.95/1.19 (assume @p22 (forall (@list @t27 @t2 @t54 @t64) (=> (and @t70 @t69) (=> @t68 @t66)))) % 0.95/1.19 (assume @p23 (forall (@list @t75 @t27 @t73 @t2 @t54 @t64 @t71) (=> @t78 (=> @t74 (=> @t68 @t72))))) % 0.95/1.19 (assume @p24 (forall (@list @t71 @t73 @t2 @t54 @t64 @t27 @t75) (=> @t78 (=> @t81 (=> @t68 @t80))))) % 0.95/1.19 (assume @p25 (forall (@list @t2 @t54 @t64) (=> (= @t67 @t64) (or (exists @t82 (and @t70 @t69 @t66)) (exists (@list @t75 @t27 @t73 @t71) (and @t70 @t77 @t74 @t72)) (exists (@list @t71 @t73 @t27 @t75) (and @t70 @t77 @t81 @t80)))))) % 0.95/1.19 (assume @p26 (forall @t86 (=> (and @t74 @t85) (tptp.vtcheck @t84 @t25 @t45)))) % 0.95/1.19 (assume @p27 @t89) % 0.95/1.19 (assume @p28 (forall (@list @t37 @t25) (=> (= (tptp.vgensym @t25) @t37) @t90))) % 0.95/1.19 (assume @p29 (forall (@list @t27 @t73 @t2 @t8 @t6 @t64 @t25) (=> @t96 (=> @t74 (=> @t92 @t65))))) % 0.95/1.19 (assume @p30 (forall (@list @t25 @t27 @t2 @t8 @t6 @t64 @t73) (=> @t96 (=> @t81 (=> @t92 @t97))))) % 0.95/1.19 (assume @p31 (forall (@list @t2 @t8 @t6 @t64 @t34 @t27 @t25 @t33) (=> (and @t70 @t95 @t100) (=> @t92 @t99)))) % 0.95/1.19 (assume @p32 (forall (@list @t25 @t27 @t2 @t8 @t6 @t64 @t73 @t45 @t34) (=> @t104 (=> @t74 (=> @t92 @t102))))) % 0.95/1.19 (assume @p33 (forall (@list @t2 @t8 @t6 @t64 @t27 @t25 @t45 @t73 @t105 @t34) (=> @t104 (=> (and @t81 @t108 @t107) (=> @t92 @t106))))) % 0.95/1.19 (assume @p34 (forall (@list @t2 @t8 @t6 @t64 @t73 @t45 @t27 @t25 @t34) (=> @t104 (=> (and @t81 @t110) (=> @t92 @t109))))) % 0.95/1.19 (assume @p35 (forall (@list @t2 @t8 @t6 @t64) (=> (= @t91 @t64) (or (exists (@list @t27 @t73 @t25) (and @t70 @t95 @t94 @t74 @t65)) (exists (@list @t25 @t27 @t73) (and @t70 @t95 @t94 @t81 @t97)) (exists (@list @t34 @t27 @t25 @t33) (and @t70 @t95 @t100 @t99)) (exists (@list @t25 @t27 @t73 @t45 @t34) (and @t70 @t95 @t103 @t74 @t102)) (exists (@list @t27 @t25 @t45 @t73 @t105 @t34) (and @t70 @t95 @t103 @t81 @t108 @t107 @t106)) (exists (@list @t73 @t45 @t27 @t25 @t34) (and @t70 @t95 @t103 @t81 @t110 @t109)))))) % 0.95/1.19 (assume @p36 (and (=> @t111 true) (=> true @t111))) % 0.95/1.19 (assume @p37 (forall (@list @t8 @t6) (and (=> @t113 @t12) (=> @t12 @t113)))) % 0.95/1.19 (assume @p38 (forall @t114 (not (= tptp.vnoExp @t112)))) % 0.95/1.19 (assume @p39 (forall (@list @t115) (=> (= @t115 tptp.vnoExp) (not @t116)))) % 0.95/1.19 (assume @p40 (forall (@list @t25 @t115) (=> @t117 @t116))) % 0.95/1.19 (assume @p41 (forall (@list @t115 @t64 @t25) (=> @t117 (=> (= @t64 (tptp.vgetSomeExp @t115)) @t65)))) % 0.95/1.19 (assume @p42 (forall (@list @t27 @t8 @t64) (=> @t32 @t121))) % 0.95/1.19 (assume @p43 (forall (@list @t27 @t26 @t25 @t8 @t64) (=> @t29 @t121))) % 0.95/1.19 (assume @p44 (forall (@list @t33 @t8 @t64 @t27 @t26 @t34 @t122) (=> @t127 (=> (and @t126 @t125) (=> @t120 @t124))))) % 0.95/1.19 (assume @p45 (forall (@list @t26 @t122 @t8 @t64 @t27 @t33 @t34) (=> @t127 (=> (and @t126 @t130 @t129) (=> @t120 @t128))))) % 0.95/1.19 (assume @p46 (forall (@list @t27 @t26 @t34 @t122 @t33 @t8 @t64) (=> @t127 (=> (and @t126 @t130 @t131) @t121)))) % 0.95/1.19 (assume @p47 (forall (@list @t34 @t8 @t64 @t132 @t33) (=> @t140 (=> (and @t135 @t134) (=> @t120 @t133))))) % 0.95/1.19 (assume @p48 (forall (@list @t33 @t34 @t132 @t8 @t64) (=> @t140 (=> (and @t135 @t141) @t121)))) % 0.95/1.19 (assume @p49 (forall (@list @t8 @t64) (=> (= @t119 @t64) (or (exists @t82 (and @t32 @t118)) (exists (@list @t27 @t26 @t25) (and @t29 @t118)) (exists (@list @t33 @t27 @t26 @t34 @t122) (and @t127 @t126 @t125 @t124)) (exists (@list @t26 @t122 @t27 @t33 @t34) (and @t127 @t126 @t130 @t129 @t128)) (exists (@list @t27 @t26 @t34 @t122 @t33) (and @t127 @t126 @t130 @t131 @t118)) (exists (@list @t34 @t132 @t33) (and @t36 @t139 @t135 @t134 @t133)) (exists (@list @t33 @t34 @t132) (and @t36 @t139 @t135 @t141 @t118)))))) % 0.95/1.19 (assume @p50 (forall (@list @t9 @t7 @t143 @t142) (and (=> @t144 @t145) (=> @t145 @t144)))) % 0.95/1.19 (assume @p51 (forall (@list @t75 @t27 @t45) (=> @t146 (tptp.vtcheck @t75 @t31 @t45)))) % 0.95/1.19 (assume @p52 @t151) % 0.95/1.19 (assume @p53 (forall (@list @t26 @t75 @t34 @t33 @t45) (=> @t154 (tptp.vtcheck @t75 @t35 @t45)))) % 0.95/1.19 (assume @p54 @t176) % 0.95/1.19 (assume @p55 (forall @t177 (=> (and (= @t79 tptp.vnoType) @t173) @t150))) % 0.95/1.19 (assume @p56 (forall @t177 (=> (and (not (tptp.visFreeVar @t27 @t25)) @t150) @t173))) % 0.95/1.19 (assume @p57 @t183) % 0.95/1.19 (assume @p58 @t193) % 0.95/1.19 (assume @p59 true) % 0.95/1.19 (step @p60 :rule aci_norm :args ((= (and @t209 (and @t204 @t198)) (and @t209 @t204 @t198)))) % 0.95/1.19 (step @p61 :rule refl :args (@t198)) % 0.95/1.19 (step @p62 :rule aci_norm :args ((= (or false @t202) @t202))) % 0.95/1.19 (step @p63 :rule refl :args (@t202)) % 0.95/1.19 (step @p64 :rule evaluate :args ((not true))) % 0.95/1.19 (step @p65 :rule eq-refl :args (@t201)) % 0.95/1.19 (step @p66 :rule cong :premises (@p65) :args (@t210)) % 0.95/1.19 (step @p67 :rule trans :premises (@p66 @p64)) % 0.95/1.19 (step @p68 :rule nary_cong :premises (@p67 @p63) :args (@t211)) % 0.95/1.19 (step @p69 :rule trans :premises (@p68 @p62)) % 0.95/1.19 (step @p70 :rule cong :premises (@p69) :args ((forall @t203 @t211))) % 0.95/1.19 (step @p71 :rule quant-var-elim-eq :args ((= (forall @t216 @t215) @t211))) % 0.95/1.19 (step @p72 :rule aci_norm :args ((= @t217 @t215))) % 0.95/1.19 (step @p73 :rule cong :premises (@p72) :args (@t218)) % 0.95/1.19 (step @p74 :rule trans :premises (@p73 @p71)) % 0.95/1.19 (step @p75 :rule cong :premises (@p74) :args (@t219)) % 0.95/1.19 (step @p76 :rule quant-merge-prenex :args ((= @t219 @t220))) % 0.95/1.19 (step @p77 :rule symm :premises (@p76)) % 0.95/1.19 (step @p78 :rule quant_var_reordering :args ((= @t221 @t220))) % 0.95/1.19 (step @p79 :rule trans :premises (@p78 @p77 @p75)) % 0.95/1.19 (step @p80 :rule trans :premises (@p79 @p70)) % 0.95/1.19 (step @p81 :rule nary_cong :premises (@p80 @p61) :args ((and @t221 @t198))) % 0.95/1.19 (step @p82 :rule alpha_equiv :args (@t230 @t231 (@list @t195 @t196 @t197 @t194))) % 0.95/1.19 (step @p83 :rule alpha_equiv :args (@t234 @t231 (@list @t200 @t212 @t201 @t199))) % 0.95/1.19 (step @p84 :rule nary_cong :premises (@p83 @p82) :args (@t235)) % 0.95/1.19 (step @p85 :rule quant-miniscope-and :args ((= (forall @t229 (and @t233 @t228)) @t235))) % 0.95/1.19 (step @p86 :rule trans :premises (@p85 @p84)) % 0.95/1.19 (step @p87 :rule trans :premises (@p86 @p81)) % 0.95/1.19 (step @p88 :rule bool-or-and-distrib :args (@t232 @t227 true @t226 false)) % 0.95/1.19 (step @p89 :rule cong :premises (@p88) :args ((forall @t229 @t237))) % 0.95/1.19 (step @p90 :rule trans :premises (@p89 @p87)) % 0.95/1.19 (step @p91 :rule aci_norm :args ((= @t238 @t237))) % 0.95/1.19 (step @p92 :rule cong :premises (@p91) :args (@t239)) % 0.95/1.19 (step @p93 :rule trans :premises (@p92 @p90)) % 0.95/1.19 (step @p94 :rule refl :args (@t209)) % 0.95/1.19 (step @p95 :rule nary_cong :premises (@p94 @p93) :args ((and @t209 @t239))) % 0.95/1.19 (step @p96 :rule trans :premises (@p95 @p60)) % 0.95/1.19 (step @p97 :rule alpha_equiv :args (@t243 @t244 @t231)) % 0.95/1.19 (step @p98 :rule alpha_equiv :args (@t246 @t244 (@list @t206 @t207 @t208 @t205))) % 0.95/1.19 (step @p99 :rule nary_cong :premises (@p98 @p97) :args (@t247)) % 0.95/1.19 (step @p100 :rule quant-miniscope-and :args ((= (forall @t242 @t248) @t247))) % 0.95/1.19 (step @p101 :rule trans :premises (@p100 @p99)) % 0.95/1.19 (step @p102 :rule trans :premises (@p101 @p96)) % 0.95/1.19 (step @p103 :rule aci_norm :args ((= (or false @t248) @t248))) % 0.95/1.19 (step @p104 :rule refl :args (@t248)) % 0.95/1.19 (step @p105 :rule eq-refl :args (@t46)) % 0.95/1.19 (step @p106 :rule cong :premises (@p105) :args (@t249)) % 0.95/1.19 (step @p107 :rule trans :premises (@p106 @p64)) % 0.95/1.19 (step @p108 :rule nary_cong :premises (@p107 @p104) :args (@t250)) % 0.95/1.19 (step @p109 :rule trans :premises (@p108 @p103)) % 0.95/1.19 (step @p110 :rule cong :premises (@p109) :args ((forall @t242 @t250))) % 0.95/1.19 (step @p111 :rule trans :premises (@p110 @p102)) % 0.95/1.19 (step @p112 :rule quant-var-elim-eq :args ((= (forall @t114 @t254) @t250))) % 0.95/1.19 (step @p113 :rule aci_norm :args ((= @t255 @t254))) % 0.95/1.19 (step @p114 :rule cong :premises (@p113) :args (@t256)) % 0.95/1.19 (step @p115 :rule trans :premises (@p114 @p112)) % 0.95/1.19 (step @p116 :rule cong :premises (@p115) :args (@t257)) % 0.95/1.19 (step @p117 :rule quant-merge-prenex :args ((= @t257 @t258))) % 0.95/1.19 (step @p118 :rule symm :premises (@p117)) % 0.95/1.19 (step @p119 :rule quant_var_reordering :args ((= (forall @t259 @t255) @t258))) % 0.95/1.19 (step @p120 :rule trans :premises (@p119 @p118 @p116)) % 0.95/1.19 (step @p121 :rule trans :premises (@p120 @p111)) % 0.95/1.19 (step @p122 :rule aci_norm :args ((= (or false @t253 @t252) @t255))) % 0.95/1.19 (step @p123 :rule refl :args (@t252)) % 0.95/1.19 (step @p124 :rule refl :args (@t253)) % 0.95/1.19 (step @p125 :rule eq-refl :args (@t37)) % 0.95/1.19 (step @p126 :rule cong :premises (@p125) :args (@t260)) % 0.95/1.19 (step @p127 :rule trans :premises (@p126 @p64)) % 0.95/1.19 (step @p128 :rule nary_cong :premises (@p127 @p124 @p123) :args (@t261)) % 0.95/1.19 (step @p129 :rule trans :premises (@p128 @p122)) % 0.95/1.19 (step @p130 :rule cong :premises (@p129) :args ((forall @t259 @t261))) % 0.95/1.19 (step @p131 :rule trans :premises (@p130 @p121)) % 0.95/1.19 (step @p132 :rule quant-var-elim-eq :args ((= (forall @t266 @t265) @t261))) % 0.95/1.19 (step @p133 :rule aci_norm :args ((= @t267 @t265))) % 0.95/1.19 (step @p134 :rule cong :premises (@p133) :args (@t268)) % 0.95/1.19 (step @p135 :rule trans :premises (@p134 @p132)) % 0.95/1.19 (step @p136 :rule cong :premises (@p135) :args (@t269)) % 0.95/1.19 (step @p137 :rule quant-merge-prenex :args ((= @t269 @t270))) % 0.95/1.19 (step @p138 :rule symm :premises (@p137)) % 0.95/1.19 (step @p139 :rule quant_var_reordering :args ((= (forall @t49 @t267) @t270))) % 0.95/1.19 (step @p140 :rule trans :premises (@p139 @p138 @p136)) % 0.95/1.19 (step @p141 :rule trans :premises (@p140 @p131)) % 0.95/1.19 (step @p142 :rule aci_norm :args ((= (or (or @t264 @t253) @t263) @t267))) % 0.95/1.19 (step @p143 :rule bool-impl-elim :args (@t39 @t43)) % 0.95/1.19 (step @p144 :rule aci_norm :args ((= (or (or @t38 @t90) @t39) @t262))) % 0.95/1.19 (step @p145 :rule refl :args (@t39)) % 0.95/1.19 (step @p146 :rule refl :args (@t90)) % 0.95/1.19 (step @p147 :rule bool-double-not-elim :args (@t38)) % 0.95/1.19 (step @p148 :rule nary_cong :premises (@p147 @p146) :args ((or (not @t42) @t90))) % 0.95/1.19 (step @p149 :rule bool-and-de-morgan :args (@t42 @t41 true)) % 0.95/1.19 (step @p150 :rule trans :premises (@p149 @p148)) % 0.95/1.19 (step @p151 :rule nary_cong :premises (@p150 @p145) :args ((or (not @t43) @t39))) % 0.95/1.19 (step @p152 :rule trans :premises (@p151 @p144)) % 0.95/1.19 (step @p153 :rule bool-impl-elim :args (@t43 @t39)) % 0.95/1.19 (step @p154 :rule trans :premises (@p153 @p152)) % 0.95/1.19 (step @p155 :rule nary_cong :premises (@p154 @p143) :args (@t44)) % 0.95/1.19 (step @p156 :rule bool-and-de-morgan :args (@t40 @t47 true)) % 0.95/1.19 (step @p157 :rule nary_cong :premises (@p156 @p155) :args ((or (not @t48) @t44))) % 0.95/1.19 (step @p158 :rule trans :premises (@p157 @p142)) % 0.95/1.19 (step @p159 :rule bool-impl-elim :args (@t48 @t44)) % 0.95/1.19 (step @p160 :rule trans :premises (@p159 @p158)) % 0.95/1.19 (step @p161 :rule cong :premises (@p160) :args (@t50)) % 0.95/1.19 (step @p162 :rule trans :premises (@p161 @p141)) % 0.95/1.19 (step @p163 :rule eq_resolve :premises (@p11 @p162)) % 0.95/1.19 (step @p164 :rule and_elim :premises (@p163) :args (0)) % 0.95/1.19 (step @p165 :rule refl :args (@t278)) % 0.95/1.19 (step @p166 :rule refl :args (@t280)) % 0.95/1.19 (step @p167 :rule eq-symm :args (@t275 @t277)) % 0.95/1.19 (step @p168 :rule nary_cong :premises (@p167 @p166 @p165) :args (@t281)) % 0.95/1.19 (step @p169 :rule cong :premises (@p94 @p168) :args ((=> @t209 @t281))) % 0.95/1.19 (assume-push @p634 @t209) % 0.95/1.19 (step @p171 :rule instantiate :premises (@p164) :args ((@list @t274 @t275 @t277 tptp.veabs))) % 0.95/1.19 (step-pop @p635 :rule scope :premises (@p171)) % 0.95/1.19 (step @p172 :rule process_scope :premises (@p635) :args (@t281)) % 0.95/1.19 (step @p174 :rule eq_resolve :premises (@p172 @p169)) % 0.95/1.19 (step @p175 :rule implies_elim :premises (@p174)) % 0.95/1.19 (step @p176 :rule chain_m_resolution :premises (@p175 @p164) :args (@t283 @t284 (@list @t209))) % 0.95/1.19 (step @p177 :rule aci_norm :args ((= (or (or @t74 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0.95/1.19 (step @p476 :rule nary_cong :premises (@p475 @p472 @p471) :args (@t426)) % 0.95/1.19 (step @p477 :rule trans :premises (@p476 @p470)) % 0.95/1.19 (step @p478 :rule cong :premises (@p477) :args ((forall @t424 @t426))) % 0.95/1.19 (step @p479 :rule trans :premises (@p478 @p469)) % 0.95/1.19 (step @p480 :rule quant-var-elim-eq :args ((= (forall @t432 @t431) @t426))) % 0.95/1.19 (step @p481 :rule aci_norm :args ((= @t433 @t431))) % 0.95/1.19 (step @p482 :rule cong :premises (@p481) :args (@t434)) % 0.95/1.19 (step @p483 :rule trans :premises (@p482 @p480)) % 0.95/1.19 (step @p484 :rule cong :premises (@p483) :args (@t435)) % 0.95/1.19 (step @p485 :rule quant-merge-prenex :args ((= @t435 @t436))) % 0.95/1.19 (step @p486 :rule symm :premises (@p485)) % 0.95/1.19 (step @p487 :rule quant_var_reordering :args ((= (forall @t437 @t433) @t436))) % 0.95/1.19 (step @p488 :rule trans :premises (@p487 @p486 @p484)) % 0.95/1.19 (step @p489 :rule trans :premises (@p488 @p479)) % 0.95/1.19 (step @p490 :rule aci_norm :args ((= (or false @t430 @t417 @t429) @t433))) % 0.95/1.19 (step @p491 :rule eq-symm :args (@t428 @t412)) % 0.95/1.19 (step @p492 :rule refl :args (@t430)) % 0.95/1.19 (step @p493 :rule eq-refl :args (@t410)) % 0.95/1.19 (step @p494 :rule cong :premises (@p493) :args (@t438)) % 0.95/1.19 (step @p495 :rule trans :premises (@p494 @p64)) % 0.95/1.19 (step @p496 :rule nary_cong :premises (@p495 @p492 @p472 @p491) :args (@t439)) % 0.95/1.19 (step @p497 :rule trans :premises (@p496 @p490)) % 0.95/1.19 (step @p498 :rule cong :premises (@p497) :args ((forall @t437 @t439))) % 0.95/1.19 (step @p499 :rule trans :premises (@p498 @p489)) % 0.95/1.19 (step @p500 :rule quant-var-elim-eq :args ((= (forall @t444 @t443) @t439))) % 0.95/1.19 (step @p501 :rule aci_norm :args ((= @t445 @t443))) % 0.95/1.19 (step @p502 :rule cong :premises (@p501) :args (@t446)) % 0.95/1.19 (step @p503 :rule trans :premises (@p502 @p500)) % 0.95/1.19 (step @p504 :rule cong :premises (@p503) :args 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0.95/1.19 (step @p518 :rule trans :premises (@p517 @p512)) % 0.95/1.19 (step @p519 :rule aci_norm :args ((= (or @t459 @t11) @t453))) % 0.95/1.19 (step @p520 :rule refl :args (@t11)) % 0.95/1.19 (step @p521 :rule aci_norm :args ((= (or @t452 (or @t451 @t450)) @t459))) % 0.95/1.19 (step @p522 :rule bool-and-de-morgan :args (@t13 @t12 true)) % 0.95/1.19 (step @p523 :rule refl :args (@t452)) % 0.95/1.19 (step @p524 :rule nary_cong :premises (@p523 @p522) :args ((or @t452 (not (and @t13 @t12))))) % 0.95/1.19 (step @p525 :rule bool-and-de-morgan :args (@t5 @t13 (and @t12))) % 0.95/1.19 (step @p526 :rule trans :premises (@p525 @p524)) % 0.95/1.19 (step @p527 :rule trans :premises (@p526 @p521)) % 0.95/1.19 (step @p528 :rule nary_cong :premises (@p527 @p520) :args ((or (not @t14) @t11))) % 0.95/1.19 (step @p529 :rule trans :premises (@p528 @p519)) % 0.95/1.19 (step @p530 :rule bool-impl-elim :args (@t14 @t11)) % 0.95/1.19 (step @p531 :rule trans :premises (@p530 @p529)) % 0.95/1.19 (step @p532 :rule bool-impl-elim :args (@t11 @t14)) % 0.95/1.19 (step @p533 :rule nary_cong :premises (@p532 @p531) :args (@t15)) % 0.95/1.19 (step @p534 :rule cong :premises (@p533) :args (@t17)) % 0.95/1.19 (step @p535 :rule trans :premises (@p534 @p518)) % 0.95/1.19 (step @p536 :rule eq_resolve :premises (@p2 @p535)) % 0.95/1.19 (step @p537 :rule instantiate :premises (@p536) :args ((@list @t275 @t274 tptp.veabs @t305 @t304 @t308))) % 0.95/1.19 (step @p538 :rule cnf_or_pos :args (@t463)) % 0.95/1.19 (step @p539 :rule reordering :premises (@p538) :args ((or @t385 @t462 (not @t463)))) % 0.95/1.19 (step @p540 :rule chain_m_resolution :premises (@p539 @p410 @p537) :args (@t462 @t464 (@list @t384 @t463))) % 0.95/1.19 (step @p541 :rule cnf_and_pos :args (@t462 0)) % 0.95/1.19 (step @p542 :rule reordering :premises (@p541) :args ((or @t461 @t465))) % 0.95/1.19 (step @p543 :rule chain_m_resolution :premises (@p542 @p540) :args (@t461 @t284 @t466)) % 0.95/1.19 (step @p544 :rule refl :args (@t468)) % 0.95/1.19 (step @p545 :rule refl :args (@t469)) % 0.95/1.19 (step @p546 :rule bool-double-not-elim :args (@t282)) % 0.95/1.19 (step @p547 :rule nary_cong :premises (@p546 @p545 @p544) :args ((or (not @t298) @t469 @t468))) % 0.95/1.19 (assume-push @p658 @t298) % 0.95/1.19 (assume-push @p659 @t461) % 0.95/1.19 (assume-push @p660 @t298) % 0.95/1.19 (assume-push @p661 @t461) % 0.95/1.19 (step @p552 :rule false_intro :premises (@p202)) % 0.95/1.19 (step @p553 :rule symm :premises (@p659)) % 0.95/1.19 (step @p554 :rule refl :args (@t277)) % 0.95/1.19 (step @p555 :rule cong :premises (@p554 @p553) :args (@t467)) % 0.95/1.19 (step @p556 :rule trans :premises (@p555 @p552)) % 0.95/1.19 (step @p557 :rule false_elim :premises (@p556)) % 0.95/1.19 (step-pop @p662 :rule scope :premises (@p557)) % 0.95/1.19 (step-pop @p663 :rule scope :premises (@p662)) % 0.95/1.19 (step @p558 :rule process_scope :premises (@p663) :args (@t468)) % 0.95/1.19 (step @p561 :rule and_intro :premises (@p202 @p659)) % 0.95/1.19 (step @p562 :rule modus_ponens :premises (@p561 @p558)) % 0.95/1.19 (step-pop @p664 :rule scope :premises (@p562)) % 0.95/1.19 (step-pop @p665 :rule scope :premises (@p664)) % 0.95/1.19 (step @p563 :rule process_scope :premises (@p665) :args (@t468)) % 0.95/1.19 (step @p566 :rule implies_elim :premises (@p563)) % 0.95/1.19 (step @p567 :rule cnf_and_neg :args (@t470)) % 0.95/1.19 (step @p568 :rule resolution :premises (@p567 @p566) :args (true @t470)) % 0.95/1.19 (step @p569 :rule eq_resolve :premises (@p568 @p547)) % 0.95/1.19 (step @p570 :rule chain_m_resolution :premises (@p569 @p202 @p543) :args (@t468 @t400 (@list @t282 @t461))) % 0.95/1.19 (step @p571 :rule cnf_or_pos :args (@t474)) % 0.95/1.19 (step @p572 :rule reordering :premises (@p571) :args ((or @t467 @t397 @t473 (not @t474)))) % 0.95/1.19 (step @p573 :rule chain_m_resolution :premises (@p572 @p570 @p448 @p232) :args (@t473 @t299 (@list @t467 @t397 @t474))) % 0.95/1.19 (step @p574 :rule cnf_and_pos :args (@t462 2)) % 0.95/1.19 (step @p575 :rule reordering :premises (@p574) :args ((or @t460 @t465))) % 0.95/1.19 (step @p576 :rule chain_m_resolution :premises (@p575 @p540) :args (@t460 @t284 @t466)) % 0.95/1.19 (step @p577 :rule refl :args (@t476)) % 0.95/1.19 (step @p578 :rule bool-double-not-elim :args (@t472)) % 0.95/1.19 (step @p579 :rule refl :args (@t477)) % 0.95/1.19 (step @p580 :rule nary_cong :premises (@p579 @p578 @p577) :args ((or @t477 (not @t473) @t476))) % 0.95/1.19 (assume-push @p666 @t460) % 0.95/1.19 (assume-push @p667 @t473) % 0.95/1.19 (assume-push @p668 @t473) % 0.95/1.19 (assume-push @p669 @t460) % 0.95/1.19 (step @p585 :rule false_intro :premises (@p667)) % 0.95/1.19 (step @p586 :rule refl :args (@t303)) % 0.95/1.19 (step @p587 :rule refl :args (@t471)) % 0.95/1.19 (step @p588 :rule cong :premises (@p587 @p666 @p586) :args (@t475)) % 0.95/1.19 (step @p589 :rule trans :premises (@p588 @p585)) % 0.95/1.19 (step @p590 :rule false_elim :premises (@p589)) % 0.95/1.19 (step-pop @p670 :rule scope :premises (@p590)) % 0.95/1.19 (step-pop @p671 :rule scope :premises (@p670)) % 0.95/1.19 (step @p591 :rule process_scope :premises (@p671) :args (@t476)) % 0.95/1.19 (step @p594 :rule and_intro :premises (@p667 @p666)) % 0.95/1.19 (step @p595 :rule modus_ponens :premises (@p594 @p591)) % 0.95/1.19 (step-pop @p672 :rule scope :premises (@p595)) % 0.95/1.19 (step-pop @p673 :rule scope :premises (@p672)) % 0.95/1.19 (step @p596 :rule process_scope :premises (@p673) :args (@t476)) % 0.95/1.19 (step @p599 :rule implies_elim :premises (@p596)) % 0.95/1.19 (step @p600 :rule cnf_and_neg :args (@t478)) % 0.95/1.19 (step @p601 :rule resolution :premises (@p600 @p599) :args (true @t478)) % 0.95/1.19 (step @p602 :rule eq_resolve :premises (@p601 @p580)) % 0.95/1.19 (step @p603 :rule chain_m_resolution :premises (@p602 @p576 @p573) :args (@t476 (@list false true) (@list @t460 @t472))) % 0.95/1.19 (step @p604 :rule bool-double-not-elim :args (@t378)) % 0.95/1.19 (step @p605 :rule nary_cong :premises (@p399 @p604) :args ((or @t386 (not @t379)))) % 0.95/1.19 (step @p606 :rule cnf_or_neg :args (@t386 2)) % 0.95/1.19 (step @p607 :rule eq_resolve :premises (@p606 @p605)) % 0.95/1.19 (step @p608 :rule reordering :premises (@p607) :args ((or @t378 @t386))) % 0.95/1.19 (step @p609 :rule chain_m_resolution :premises (@p608 @p397) :args (@t378 @t296 @t392)) % 0.95/1.19 (assume-push @p674 @t378) % 0.95/1.19 (assume-push @p675 @t460) % 0.95/1.19 (assume-push @p676 @t378) % 0.95/1.19 (assume-push @p677 @t460) % 0.95/1.19 (step @p614 :rule true_intro :premises (@p674)) % 0.95/1.19 (step @p586 :rule refl :args (@t303)) % 0.95/1.19 (step @p615 :rule refl :args (@t306)) % 0.95/1.19 (step @p616 :rule cong :premises (@p615 @p675 @p586) :args (@t479)) % 0.95/1.19 (step @p617 :rule trans :premises (@p616 @p614)) % 0.95/1.19 (step @p618 :rule true_elim :premises (@p617)) % 0.95/1.19 (step-pop @p678 :rule scope :premises (@p618)) % 0.95/1.19 (step-pop @p679 :rule scope :premises (@p678)) % 0.95/1.19 (step @p619 :rule process_scope :premises (@p679) :args (@t479)) % 0.95/1.19 (step @p622 :rule and_intro :premises (@p674 @p675)) % 0.95/1.19 (step @p623 :rule modus_ponens :premises (@p622 @p619)) % 0.95/1.19 (step-pop @p680 :rule scope :premises (@p623)) % 0.95/1.19 (step-pop @p681 :rule scope :premises (@p680)) % 0.95/1.19 (step @p624 :rule process_scope :premises (@p681) :args (@t479)) % 0.95/1.19 (step @p627 :rule implies_elim :premises (@p624)) % 0.95/1.19 (step @p628 :rule cnf_and_neg :args (@t480)) % 0.95/1.19 (step @p629 :rule resolution :premises (@p628 @p627) :args (true @t480)) % 0.95/1.19 (step @p630 :rule chain_m_resolution :premises (@p629 @p609 @p576) :args (@t479 @t464 (@list @t378 @t460))) % 0.95/1.19 (step @p631 :rule cnf_or_pos :args (@t482)) % 0.95/1.19 (step @p632 :rule reordering :premises (@p631) :args ((or @t279 @t481 @t475 (not @t482)))) % 0.95/1.19 (step @p633 false :rule chain_m_resolution :premises (@p632 @p630 @p603 @p219 @p205) :args (false (@list false true false true) (@list @t479 @t475 @t482 @t279))) % 0.95/1.19 ) % 0.95/1.19 % SZS output end Proof % 0.95/1.19 % cvc5 exiting %------------------------------------------------------------------------------