%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COM126+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 : n012.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 204.39s 204.61s % Output : Proof 204.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : COM126+1 : TPTP v9.2.1. Released v6.4.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Mon Jun 1 20:30:18 EDT 2026 % 0.07/0.25 % CPUTime : % 0.15/0.34 %----Proving TF0_NAR, FOF, or CNF % 204.39/204.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 204.39/204.61 --- Run --no-e-matching --full-saturate-quant at 6... % 204.39/204.61 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 204.39/204.61 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 204.39/204.61 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 204.39/204.61 --- Run --trigger-sel=max --full-saturate-quant at 15... % 204.39/204.61 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 204.39/204.61 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 204.39/204.61 --- Run --prenex-quant=none --full-saturate-quant at 30... % 204.39/204.61 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 204.39/204.61 --- Run --relevant-triggers --full-saturate-quant at 30... % 204.39/204.61 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 204.39/204.61 % SZS status Theorem % 204.39/204.61 % SZS output start Proof % 204.39/204.61 ( % 204.39/204.61 (declare-sort $$unsorted 0) % 204.39/204.61 (declare-const tptp.ve2app $$unsorted) % 204.39/204.61 (declare-const tptp.varrow (-> $$unsorted $$unsorted $$unsorted)) % 204.39/204.61 (declare-const tptp.vgetSomeExp (-> $$unsorted $$unsorted)) % 204.39/204.61 (declare-const tptp.vsomeExp (-> $$unsorted $$unsorted)) % 204.39/204.61 (declare-const tptp.vnoExp $$unsorted) % 204.39/204.61 (declare-const tptp.ve1app $$unsorted) % 204.39/204.61 (declare-const tptp.vsubst (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 204.39/204.61 (declare-const tptp.vgensym (-> $$unsorted $$unsorted)) % 204.39/204.61 (declare-const tptp.vapp (-> $$unsorted $$unsorted $$unsorted)) % 204.39/204.61 (declare-const tptp.visValue (-> $$unsorted Bool)) % 204.39/204.61 (declare-const tptp.vempty $$unsorted) % 204.39/204.61 (declare-const tptp.vbind (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 204.39/204.61 (declare-const tptp.vnoType $$unsorted) % 204.39/204.61 (declare-const tptp.visFreeVar (-> $$unsorted $$unsorted Bool)) % 204.39/204.61 (declare-const tptp.vtcheck (-> $$unsorted $$unsorted $$unsorted Bool)) % 204.39/204.61 (declare-const tptp.vsomeType (-> $$unsorted $$unsorted)) % 204.39/204.61 (declare-const tptp.visSomeExp (-> $$unsorted Bool)) % 204.39/204.61 (declare-const tptp.vvar (-> $$unsorted $$unsorted)) % 204.39/204.61 (declare-const tptp.vlookup (-> $$unsorted $$unsorted $$unsorted)) % 204.39/204.61 (declare-const tptp.vabs (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 204.39/204.61 (declare-const tptp.visSomeType (-> $$unsorted Bool)) % 204.39/204.61 (declare-const tptp.vreduce (-> $$unsorted $$unsorted)) % 204.39/204.61 (declare-const tptp.vgetSomeType (-> $$unsorted $$unsorted)) % 204.39/204.61 (define @t1 () (@var "VVar1" $$unsorted)) % 204.39/204.61 (define @t2 () (@var "VVar0" $$unsorted)) % 204.39/204.61 (define @t3 () (tptp.vvar @t2)) % 204.39/204.61 (define @t4 () (= @t3 (tptp.vvar @t1))) % 204.39/204.61 (define @t5 () (= @t2 @t1)) % 204.39/204.61 (define @t6 () (@var "VExp1" $$unsorted)) % 204.39/204.61 (define @t7 () (@var "VTyp1" $$unsorted)) % 204.39/204.61 (define @t8 () (@var "VExp0" $$unsorted)) % 204.39/204.61 (define @t9 () (@var "VTyp0" $$unsorted)) % 204.39/204.61 (define @t10 () (tptp.vabs @t2 @t9 @t8)) % 204.39/204.61 (define @t11 () (= @t10 (tptp.vabs @t1 @t7 @t6))) % 204.39/204.61 (define @t12 () (= @t8 @t6)) % 204.39/204.61 (define @t13 () (= @t9 @t7)) % 204.39/204.61 (define @t14 () (and @t5 @t13 @t12)) % 204.39/204.61 (define @t15 () (@var "VExp3" $$unsorted)) % 204.39/204.61 (define @t16 () (@var "VExp2" $$unsorted)) % 204.39/204.61 (define @t17 () (tptp.vapp @t8 @t6)) % 204.39/204.61 (define @t18 () (= @t17 (tptp.vapp @t16 @t15))) % 204.39/204.61 (define @t19 () (= @t6 @t15)) % 204.39/204.61 (define @t20 () (= @t8 @t16)) % 204.39/204.61 (define @t21 () (and @t20 @t19)) % 204.39/204.61 (define @t22 () (and (=> @t18 @t21) (=> @t21 @t18))) % 204.39/204.61 (define @t23 () (@list @t8 @t6 @t16 @t15)) % 204.39/204.61 (define @t24 () (forall @t23 @t22)) % 204.39/204.61 (define @t25 () (forall (@list @t2 @t8 @t6) (not (= @t3 @t17)))) % 204.39/204.61 (define @t26 () (forall (@list @t2 @t9 @t8 @t6 @t16) (not (= @t10 (tptp.vapp @t6 @t16))))) % 204.39/204.61 (define @t27 () (tptp.visValue @t8)) % 204.39/204.61 (define @t28 () (@var "Ve" $$unsorted)) % 204.39/204.61 (define @t29 () (@var "VS" $$unsorted)) % 204.39/204.61 (define @t30 () (@var "Vx" $$unsorted)) % 204.39/204.61 (define @t31 () (tptp.vabs @t30 @t29 @t28)) % 204.39/204.61 (define @t32 () (= @t8 @t31)) % 204.39/204.61 (define @t33 () (not @t27)) % 204.39/204.61 (define @t34 () (tptp.vvar @t30)) % 204.39/204.61 (define @t35 () (= @t8 @t34)) % 204.39/204.61 (define @t36 () (@var "Ve2" $$unsorted)) % 204.39/204.61 (define @t37 () (@var "Ve1" $$unsorted)) % 204.39/204.61 (define @t38 () (tptp.vapp @t37 @t36)) % 204.39/204.61 (define @t39 () (= @t8 @t38)) % 204.39/204.61 (define @t40 () (@var "Vv" $$unsorted)) % 204.39/204.61 (define @t41 () (= @t30 @t40)) % 204.39/204.61 (define @t42 () (tptp.visFreeVar @t2 @t8)) % 204.39/204.61 (define @t43 () (= @t2 @t40)) % 204.39/204.61 (define @t44 () (tptp.visFreeVar @t40 @t28)) % 204.39/204.61 (define @t45 () (and (not @t41) @t44)) % 204.39/204.61 (define @t46 () (@var "VT" $$unsorted)) % 204.39/204.61 (define @t47 () (tptp.visFreeVar @t40 @t36)) % 204.39/204.61 (define @t48 () (tptp.visFreeVar @t40 @t37)) % 204.39/204.61 (define @t49 () (or @t48 @t47)) % 204.39/204.61 (define @t50 () (and (=> @t49 @t42) (=> @t42 @t49))) % 204.39/204.61 (define @t51 () (and @t43 @t39)) % 204.39/204.61 (define @t52 () (@list @t2 @t8 @t37 @t40 @t36)) % 204.39/204.61 (define @t53 () (forall @t52 (=> @t51 @t50))) % 204.39/204.61 (define @t54 () (= tptp.vempty tptp.vempty)) % 204.39/204.61 (define @t55 () (@var "VCtx1" $$unsorted)) % 204.39/204.61 (define @t56 () (@var "VCtx0" $$unsorted)) % 204.39/204.61 (define @t57 () (tptp.vbind @t2 @t9 @t56)) % 204.39/204.61 (define @t58 () (= @t57 (tptp.vbind @t1 @t7 @t55))) % 204.39/204.61 (define @t59 () (and @t5 @t13 (= @t56 @t55))) % 204.39/204.61 (define @t60 () (= tptp.vnoType tptp.vnoType)) % 204.39/204.61 (define @t61 () (tptp.vsomeType @t9)) % 204.39/204.61 (define @t62 () (= @t61 (tptp.vsomeType @t7))) % 204.39/204.61 (define @t63 () (@var "VOptTyp0" $$unsorted)) % 204.39/204.61 (define @t64 () (tptp.visSomeType @t63)) % 204.39/204.61 (define @t65 () (= @t63 (tptp.vsomeType @t28))) % 204.39/204.61 (define @t66 () (@var "RESULT" $$unsorted)) % 204.39/204.61 (define @t67 () (= @t66 @t28)) % 204.39/204.61 (define @t68 () (= @t66 tptp.vnoType)) % 204.39/204.61 (define @t69 () (tptp.vlookup @t2 @t56)) % 204.39/204.61 (define @t70 () (= @t66 @t69)) % 204.39/204.61 (define @t71 () (= @t56 tptp.vempty)) % 204.39/204.61 (define @t72 () (= @t2 @t30)) % 204.39/204.61 (define @t73 () (@var "VTy" $$unsorted)) % 204.39/204.61 (define @t74 () (= @t66 (tptp.vsomeType @t73))) % 204.39/204.61 (define @t75 () (@var "Vy" $$unsorted)) % 204.39/204.61 (define @t76 () (= @t30 @t75)) % 204.39/204.61 (define @t77 () (@var "VC" $$unsorted)) % 204.39/204.61 (define @t78 () (tptp.vbind @t75 @t73 @t77)) % 204.39/204.61 (define @t79 () (= @t56 @t78)) % 204.39/204.61 (define @t80 () (and @t72 @t79)) % 204.39/204.61 (define @t81 () (tptp.vlookup @t30 @t77)) % 204.39/204.61 (define @t82 () (= @t66 @t81)) % 204.39/204.61 (define @t83 () (not @t76)) % 204.39/204.61 (define @t84 () (@list @t30)) % 204.39/204.61 (define @t85 () (@var "VTx" $$unsorted)) % 204.39/204.61 (define @t86 () (tptp.vbind @t30 @t85 @t77)) % 204.39/204.61 (define @t87 () (tptp.vtcheck (tptp.vbind @t30 @t85 @t78) @t28 @t46)) % 204.39/204.61 (define @t88 () (@list @t75 @t73 @t30 @t85 @t77 @t28 @t46)) % 204.39/204.61 (define @t89 () (tptp.vsubst @t2 @t8 @t6)) % 204.39/204.61 (define @t90 () (= @t66 @t89)) % 204.39/204.61 (define @t91 () (tptp.vvar @t75)) % 204.39/204.61 (define @t92 () (= @t6 @t91)) % 204.39/204.61 (define @t93 () (= @t8 @t28)) % 204.39/204.61 (define @t94 () (and @t72 @t93 @t92)) % 204.39/204.61 (define @t95 () (= @t66 @t91)) % 204.39/204.61 (define @t96 () (tptp.vsubst @t30 @t28 @t37)) % 204.39/204.61 (define @t97 () (= @t66 (tptp.vapp @t96 (tptp.vsubst @t30 @t28 @t36)))) % 204.39/204.61 (define @t98 () (= @t6 @t38)) % 204.39/204.61 (define @t99 () (tptp.vabs @t75 @t46 @t37)) % 204.39/204.61 (define @t100 () (= @t66 @t99)) % 204.39/204.61 (define @t101 () (= @t6 @t99)) % 204.39/204.61 (define @t102 () (and @t72 @t93 @t101)) % 204.39/204.61 (define @t103 () (@var "Vfresh" $$unsorted)) % 204.39/204.61 (define @t104 () (= @t66 (tptp.vsubst @t30 @t28 (tptp.vabs @t103 @t46 (tptp.vsubst @t75 (tptp.vvar @t103) @t37))))) % 204.39/204.61 (define @t105 () (= @t103 (tptp.vgensym (tptp.vapp (tptp.vapp @t28 @t37) @t34)))) % 204.39/204.61 (define @t106 () (tptp.visFreeVar @t75 @t28)) % 204.39/204.61 (define @t107 () (= @t66 (tptp.vabs @t75 @t46 @t96))) % 204.39/204.61 (define @t108 () (not @t106)) % 204.39/204.61 (define @t109 () (= tptp.vnoExp tptp.vnoExp)) % 204.39/204.61 (define @t110 () (tptp.vsomeExp @t8)) % 204.39/204.61 (define @t111 () (= @t110 (tptp.vsomeExp @t6))) % 204.39/204.61 (define @t112 () (@list @t8)) % 204.39/204.61 (define @t113 () (@var "VOptExp0" $$unsorted)) % 204.39/204.61 (define @t114 () (tptp.visSomeExp @t113)) % 204.39/204.61 (define @t115 () (= @t113 (tptp.vsomeExp @t28))) % 204.39/204.61 (define @t116 () (= @t66 tptp.vnoExp)) % 204.39/204.61 (define @t117 () (tptp.vreduce @t8)) % 204.39/204.61 (define @t118 () (= @t66 @t117)) % 204.39/204.61 (define @t119 () (=> @t118 @t116)) % 204.39/204.61 (define @t120 () (@var "Ve2red" $$unsorted)) % 204.39/204.61 (define @t121 () (tptp.vabs @t30 @t29 @t37)) % 204.39/204.61 (define @t122 () (= @t66 (tptp.vsomeExp (tptp.vapp @t121 (tptp.vgetSomeExp @t120))))) % 204.39/204.61 (define @t123 () (tptp.visSomeExp @t120)) % 204.39/204.61 (define @t124 () (= @t120 (tptp.vreduce @t36))) % 204.39/204.61 (define @t125 () (= @t8 (tptp.vapp @t121 @t36))) % 204.39/204.61 (define @t126 () (= @t66 (tptp.vsomeExp (tptp.vsubst @t30 @t36 @t37)))) % 204.39/204.61 (define @t127 () (tptp.visValue @t36)) % 204.39/204.61 (define @t128 () (not @t123)) % 204.39/204.61 (define @t129 () (not @t127)) % 204.39/204.61 (define @t130 () (@var "Ve1red" $$unsorted)) % 204.39/204.61 (define @t131 () (= @t66 (tptp.vsomeExp (tptp.vapp (tptp.vgetSomeExp @t130) @t36)))) % 204.39/204.61 (define @t132 () (tptp.visSomeExp @t130)) % 204.39/204.61 (define @t133 () (= @t130 (tptp.vreduce @t37))) % 204.39/204.61 (define @t134 () (@var "VVe10" $$unsorted)) % 204.39/204.61 (define @t135 () (@var "VVS0" $$unsorted)) % 204.39/204.61 (define @t136 () (@var "VVx0" $$unsorted)) % 204.39/204.61 (define @t137 () (forall (@list @t136 @t135 @t134) (not (= @t37 (tptp.vabs @t136 @t135 @t134))))) % 204.39/204.61 (define @t138 () (and @t39 @t137)) % 204.39/204.61 (define @t139 () (not @t132)) % 204.39/204.61 (define @t140 () (@var "VTyp3" $$unsorted)) % 204.39/204.61 (define @t141 () (@var "VTyp2" $$unsorted)) % 204.39/204.61 (define @t142 () (= (tptp.varrow @t9 @t7) (tptp.varrow @t141 @t140))) % 204.39/204.61 (define @t143 () (and (= @t9 @t141) (= @t7 @t140))) % 204.39/204.61 (define @t144 () (= @t81 (tptp.vsomeType @t46))) % 204.39/204.61 (define @t145 () (tptp.varrow @t29 @t46)) % 204.39/204.61 (define @t146 () (tptp.vbind @t30 @t29 @t77)) % 204.39/204.61 (define @t147 () (tptp.vtcheck @t146 @t28 @t46)) % 204.39/204.61 (define @t148 () (tptp.vtcheck @t77 @t38 @t46)) % 204.39/204.61 (define @t149 () (tptp.vtcheck @t77 @t36 @t29)) % 204.39/204.61 (define @t150 () (tptp.vtcheck @t77 @t37 @t145)) % 204.39/204.61 (define @t151 () (and @t150 @t149)) % 204.39/204.61 (define @t152 () (@list @t29 @t77 @t37 @t36 @t46)) % 204.39/204.61 (define @t153 () (forall @t152 (=> @t151 @t148))) % 204.39/204.61 (define @t154 () (= @t28 @t38)) % 204.39/204.61 (define @t155 () (and @t154 @t150 @t149)) % 204.39/204.61 (define @t156 () (@list @t37 @t36 @t29)) % 204.39/204.61 (define @t157 () (exists @t156 @t155)) % 204.39/204.61 (define @t158 () (@var "VT2" $$unsorted)) % 204.39/204.61 (define @t159 () (@var "VT1" $$unsorted)) % 204.39/204.61 (define @t160 () (tptp.vtcheck (tptp.vbind @t30 @t159 @t77) @t36 @t158)) % 204.39/204.61 (define @t161 () (= @t46 (tptp.varrow @t159 @t158))) % 204.39/204.61 (define @t162 () (= @t28 (tptp.vabs @t30 @t159 @t36))) % 204.39/204.61 (define @t163 () (and @t162 @t161 @t160)) % 204.39/204.61 (define @t164 () (@list @t30 @t36 @t159 @t158)) % 204.39/204.61 (define @t165 () (exists @t164 @t163)) % 204.39/204.61 (define @t166 () (= @t28 @t34)) % 204.39/204.61 (define @t167 () (and @t166 @t144)) % 204.39/204.61 (define @t168 () (exists @t84 @t167)) % 204.39/204.61 (define @t169 () (or @t168 @t165 @t157)) % 204.39/204.61 (define @t170 () (tptp.vtcheck @t77 @t28 @t46)) % 204.39/204.61 (define @t171 () (=> @t170 @t169)) % 204.39/204.61 (define @t172 () (@list @t28 @t46 @t77)) % 204.39/204.61 (define @t173 () (forall @t172 @t171)) % 204.39/204.61 (define @t174 () (@list @t30 @t29 @t77 @t28 @t46)) % 204.39/204.61 (define @t175 () (tptp.vtcheck @t146 tptp.ve1app @t46)) % 204.39/204.61 (define @t176 () (tptp.vtcheck @t77 tptp.ve1app @t46)) % 204.39/204.61 (define @t177 () (tptp.visFreeVar @t30 tptp.ve1app)) % 204.39/204.61 (define @t178 () (not @t177)) % 204.39/204.61 (define @t179 () (and @t178 @t176)) % 204.39/204.61 (define @t180 () (@list @t30 @t29 @t77 @t46)) % 204.39/204.61 (define @t181 () (forall @t180 (=> @t179 @t175))) % 204.39/204.61 (define @t182 () (tptp.vtcheck @t146 tptp.ve2app @t46)) % 204.39/204.61 (define @t183 () (tptp.vtcheck @t77 tptp.ve2app @t46)) % 204.39/204.61 (define @t184 () (tptp.visFreeVar @t30 tptp.ve2app)) % 204.39/204.61 (define @t185 () (not @t184)) % 204.39/204.61 (define @t186 () (and @t185 @t183)) % 204.39/204.61 (define @t187 () (forall @t180 (=> @t186 @t182))) % 204.39/204.61 (define @t188 () (tptp.vapp tptp.ve1app tptp.ve2app)) % 204.39/204.61 (define @t189 () (tptp.vtcheck @t146 @t188 @t46)) % 204.39/204.61 (define @t190 () (tptp.vtcheck @t77 @t188 @t46)) % 204.39/204.61 (define @t191 () (tptp.visFreeVar @t30 @t188)) % 204.39/204.61 (define @t192 () (not @t191)) % 204.39/204.61 (define @t193 () (and @t192 @t190)) % 204.39/204.61 (define @t194 () (forall @t180 (=> @t193 @t189))) % 204.39/204.61 (define @t195 () (not @t194)) % 204.39/204.61 (define @t196 () (@var "b_VS" it_7_$$unsorted)) % 204.39/204.61 (define @t197 () (@var "b_Ve2" it_4_$$unsorted)) % 204.39/204.61 (define @t198 () (@var "b_VC" it_67_$$unsorted)) % 204.39/204.61 (define @t199 () (@const 0 (-> it_67_$$unsorted it_4_$$unsorted it_7_$$unsorted Bool))) % 204.39/204.61 (define @t200 () (@var "b_VT" it_7_$$unsorted)) % 204.39/204.61 (define @t201 () (@const 1 (-> it_7_$$unsorted it_7_$$unsorted it_7_$$unsorted))) % 204.39/204.61 (define @t202 () (@var "b_Ve1" it_4_$$unsorted)) % 204.39/204.61 (define @t203 () (@const 2 (-> it_4_$$unsorted it_4_$$unsorted it_4_$$unsorted))) % 204.39/204.61 (define @t204 () (_ @t203 @t202 @t197)) % 204.39/204.61 (define @t205 () (@var "b_Ve" it_4_$$unsorted)) % 204.39/204.61 (define @t206 () (@list @t202 @t197 @t196)) % 204.39/204.61 (define @t207 () (@var "b_VT2" it_7_$$unsorted)) % 204.39/204.61 (define @t208 () (@var "b_Ve2" it_4_$$unsorted)) % 204.39/204.61 (define @t209 () (@var "b_VT1" it_7_$$unsorted)) % 204.39/204.61 (define @t210 () (@const 3 (-> $$unsorted it_7_$$unsorted it_67_$$unsorted it_67_$$unsorted))) % 204.39/204.61 (define @t211 () (_ @t201 @t209 @t207)) % 204.39/204.61 (define @t212 () (@const 4 (-> $$unsorted it_7_$$unsorted it_4_$$unsorted it_4_$$unsorted))) % 204.39/204.61 (define @t213 () (_ @t212 @t30 @t209 @t208)) % 204.39/204.61 (define @t214 () (@list @t30 @t208 @t209 @t207)) % 204.39/204.61 (define @t215 () (@const 5 (-> it_7_$$unsorted it_77_$$unsorted))) % 204.39/204.61 (define @t216 () (@const 6 (-> $$unsorted it_67_$$unsorted it_77_$$unsorted))) % 204.39/204.61 (define @t217 () (@const 7 (-> $$unsorted it_4_$$unsorted))) % 204.39/204.61 (define @t218 () (_ @t217 @t30)) % 204.39/204.61 (define @t219 () (forall (@list @t205 @t200 @t198) (or (not (_ @t199 @t198 @t205 @t200)) (not (forall @t84 (or (not (= @t218 @t205)) (not (= (_ @t216 @t30 @t198) (_ @t215 @t200)))))) (not (forall @t214 (or (not (= @t205 @t213)) (not (= @t200 @t211)) (not (_ @t199 (_ @t210 @t30 @t209 @t198) @t208 @t207))))) (not (forall @t206 (or (not (= @t205 @t204)) (not (_ @t199 @t198 @t202 (_ @t201 @t196 @t200))) (not (_ @t199 @t198 @t197 @t196)))))))) % 204.39/204.61 (define @t220 () (not @t149)) % 204.39/204.61 (define @t221 () (not @t150)) % 204.39/204.61 (define @t222 () (not @t154)) % 204.39/204.61 (define @t223 () (or @t222 @t221 @t220)) % 204.39/204.61 (define @t224 () (not (forall @t156 @t223))) % 204.39/204.61 (define @t225 () (not @t160)) % 204.39/204.61 (define @t226 () (not @t161)) % 204.39/204.61 (define @t227 () (not @t162)) % 204.39/204.61 (define @t228 () (or @t227 @t226 @t225)) % 204.39/204.61 (define @t229 () (not (forall @t164 @t228))) % 204.39/204.61 (define @t230 () (not (forall @t84 (or (not @t166) (not @t144))))) % 204.39/204.61 (define @t231 () (not @t170)) % 204.39/204.61 (define @t232 () (or @t231 @t230 @t229 @t224)) % 204.39/204.61 (define @t233 () (or @t230 @t229 @t224)) % 204.39/204.61 (define @t234 () (or @t221 @t220)) % 204.39/204.61 (define @t235 () (not @t151)) % 204.39/204.61 (define @t236 () (forall @t156 (not @t155))) % 204.39/204.61 (define @t237 () (not @t236)) % 204.39/204.61 (define @t238 () (forall @t164 (not @t163))) % 204.39/204.61 (define @t239 () (not @t238)) % 204.39/204.61 (define @t240 () (forall @t84 (not @t167))) % 204.39/204.61 (define @t241 () (not @t240)) % 204.39/204.61 (define @t242 () (@var "b_VT" it_7_$$unsorted)) % 204.39/204.61 (define @t243 () (@const 8 it_4_$$unsorted)) % 204.39/204.61 (define @t244 () (@const 9 it_4_$$unsorted)) % 204.39/204.61 (define @t245 () (_ @t203 @t244 @t243)) % 204.39/204.61 (define @t246 () (@var "b_VC" it_67_$$unsorted)) % 204.39/204.61 (define @t247 () (@var "b_VS" it_7_$$unsorted)) % 204.39/204.61 (define @t248 () (@const 10 (-> $$unsorted it_4_$$unsorted Bool))) % 204.39/204.61 (define @t249 () (forall (@list @t30 @t247 @t246 @t242) (or (_ @t248 @t30 @t245) (not (_ @t199 @t246 @t245 @t242)) (_ @t199 (_ @t210 @t30 @t247 @t246) @t245 @t242)))) % 204.39/204.61 (define @t250 () (@quantifiers_skolemize @t249 2)) % 204.39/204.61 (define @t251 () (not (_ @t199 @t250 @t197 @t196))) % 204.39/204.61 (define @t252 () (@quantifiers_skolemize @t249 3)) % 204.39/204.61 (define @t253 () (not (_ @t199 @t250 @t202 (_ @t201 @t196 @t252)))) % 204.39/204.61 (define @t254 () (not (= @t245 @t204))) % 204.39/204.61 (define @t255 () (or @t254 @t253 @t251)) % 204.39/204.61 (define @t256 () (forall @t206 @t255)) % 204.39/204.61 (define @t257 () (not @t256)) % 204.39/204.61 (define @t258 () (not (_ @t199 (_ @t210 @t30 @t209 @t250) @t208 @t207))) % 204.39/204.61 (define @t259 () (not (= @t252 @t211))) % 204.39/204.61 (define @t260 () (not (= @t245 @t213))) % 204.39/204.61 (define @t261 () (or @t260 @t259 @t258)) % 204.39/204.61 (define @t262 () (forall @t214 @t261)) % 204.39/204.61 (define @t263 () (not @t262)) % 204.39/204.61 (define @t264 () (_ @t215 @t252)) % 204.39/204.61 (define @t265 () (forall @t84 (or (not (= @t218 @t245)) (not (= (_ @t216 @t30 @t250) @t264))))) % 204.39/204.61 (define @t266 () (not @t265)) % 204.39/204.61 (define @t267 () (_ @t199 @t250 @t245 @t252)) % 204.39/204.61 (define @t268 () (not @t267)) % 204.39/204.61 (define @t269 () (or @t268 @t266 @t263 @t257)) % 204.39/204.61 (define @t270 () (forall @t206 (or (not (= @t204 @t245)) @t253 @t251))) % 204.39/204.61 (define @t271 () (not @t270)) % 204.39/204.61 (define @t272 () (forall @t214 (or (not (= @t213 @t245)) (not (= @t211 @t252)) @t258))) % 204.39/204.61 (define @t273 () (not @t272)) % 204.39/204.61 (define @t274 () (or @t268 @t266 @t273 @t271)) % 204.39/204.61 (define @t275 () (@list false)) % 204.39/204.61 (define @t276 () (@var "b_VExp2" it_4_$$unsorted)) % 204.39/204.61 (define @t277 () (@var "b_VExp1" it_4_$$unsorted)) % 204.39/204.61 (define @t278 () (@var "b_VExp0" it_4_$$unsorted)) % 204.39/204.61 (define @t279 () (@var "b_VTyp0" it_7_$$unsorted)) % 204.39/204.61 (define @t280 () (forall (@list @t2 @t279 @t278 @t277 @t276) (not (= (_ @t212 @t2 @t279 @t278) (_ @t203 @t277 @t276))))) % 204.39/204.61 (define @t281 () (@quantifiers_skolemize @t272 1)) % 204.39/204.61 (define @t282 () (@quantifiers_skolemize @t272 2)) % 204.39/204.61 (define @t283 () (@quantifiers_skolemize @t272 0)) % 204.39/204.61 (define @t284 () (_ @t212 @t283 @t282 @t281)) % 204.39/204.61 (define @t285 () (not (= @t284 @t245))) % 204.39/204.61 (define @t286 () (= @t245 @t284)) % 204.39/204.61 (define @t287 () (not @t286)) % 204.39/204.61 (define @t288 () (@quantifiers_skolemize @t272 3)) % 204.39/204.61 (define @t289 () (not (_ @t199 (_ @t210 @t283 @t282 @t250) @t281 @t288))) % 204.39/204.61 (define @t290 () (_ @t201 @t282 @t288)) % 204.39/204.61 (define @t291 () (or @t287 (not (= @t252 @t290)) @t289)) % 204.39/204.61 (define @t292 () (@list true)) % 204.39/204.61 (define @t293 () (not @t291)) % 204.39/204.61 (define @t294 () (not (= @t290 @t252))) % 204.39/204.61 (define @t295 () (or @t285 @t294 @t289)) % 204.39/204.61 (define @t296 () (not @t295)) % 204.39/204.61 (define @t297 () (@var "b_VExp1" it_4_$$unsorted)) % 204.39/204.61 (define @t298 () (@var "b_VExp0" it_4_$$unsorted)) % 204.39/204.61 (define @t299 () (forall (@list @t2 @t298 @t297) (not (= (_ @t217 @t2) (_ @t203 @t298 @t297))))) % 204.39/204.61 (define @t300 () (@quantifiers_skolemize @t265 0)) % 204.39/204.61 (define @t301 () (_ @t217 @t300)) % 204.39/204.61 (define @t302 () (not (= @t301 @t245))) % 204.39/204.61 (define @t303 () (= @t245 @t301)) % 204.39/204.61 (define @t304 () (not @t303)) % 204.39/204.61 (define @t305 () (_ @t216 @t300 @t250)) % 204.39/204.61 (define @t306 () (or @t304 (not (= @t264 @t305)))) % 204.39/204.61 (define @t307 () (not @t306)) % 204.39/204.61 (define @t308 () (not (= @t305 @t264))) % 204.39/204.61 (define @t309 () (or @t302 @t308)) % 204.39/204.61 (define @t310 () (not @t309)) % 204.39/204.61 (define @t311 () (not @t190)) % 204.39/204.61 (define @t312 () (or @t191 @t311 @t189)) % 204.39/204.61 (define @t313 () (@quantifiers_skolemize @t249 1)) % 204.39/204.61 (define @t314 () (@quantifiers_skolemize @t249 0)) % 204.39/204.61 (define @t315 () (_ @t210 @t314 @t313 @t250)) % 204.39/204.61 (define @t316 () (_ @t199 @t315 @t245 @t252)) % 204.39/204.61 (define @t317 () (_ @t248 @t314 @t245)) % 204.39/204.61 (define @t318 () (or @t317 @t268 @t316)) % 204.39/204.61 (define @t319 () (@list @t318)) % 204.39/204.61 (define @t320 () (@quantifiers_skolemize @t270 2)) % 204.39/204.61 (define @t321 () (@quantifiers_skolemize @t270 1)) % 204.39/204.61 (define @t322 () (_ @t199 @t250 @t321 @t320)) % 204.39/204.61 (define @t323 () (not @t322)) % 204.39/204.61 (define @t324 () (_ @t201 @t320 @t252)) % 204.39/204.61 (define @t325 () (@quantifiers_skolemize @t270 0)) % 204.39/204.61 (define @t326 () (_ @t199 @t250 @t325 @t324)) % 204.39/204.61 (define @t327 () (not @t326)) % 204.39/204.61 (define @t328 () (_ @t203 @t325 @t321)) % 204.39/204.61 (define @t329 () (= @t245 @t328)) % 204.39/204.61 (define @t330 () (not @t329)) % 204.39/204.61 (define @t331 () (or @t330 @t327 @t323)) % 204.39/204.61 (define @t332 () (not @t331)) % 204.39/204.61 (define @t333 () (not (= @t328 @t245))) % 204.39/204.61 (define @t334 () (or @t333 @t327 @t323)) % 204.39/204.61 (define @t335 () (not @t334)) % 204.39/204.61 (define @t336 () (@list @t331)) % 204.39/204.61 (define @t337 () (@var "b_BOUND_VARIABLE_8117" it_4_$$unsorted)) % 204.39/204.61 (define @t338 () (@var "b_BOUND_VARIABLE_8113" it_4_$$unsorted)) % 204.39/204.61 (define @t339 () (@var "b_BOUND_VARIABLE_8115" it_4_$$unsorted)) % 204.39/204.61 (define @t340 () (@var "b_BOUND_VARIABLE_8111" it_4_$$unsorted)) % 204.39/204.61 (define @t341 () (@var "BOUND_VARIABLE_8117" $$unsorted)) % 204.39/204.61 (define @t342 () (@var "BOUND_VARIABLE_8113" $$unsorted)) % 204.39/204.61 (define @t343 () (@var "BOUND_VARIABLE_8115" $$unsorted)) % 204.39/204.61 (define @t344 () (@var "BOUND_VARIABLE_8111" $$unsorted)) % 204.39/204.61 (define @t345 () (forall (@list @t344 @t342 @t343 @t341) (or (not (= (tptp.vapp @t344 @t342) (tptp.vapp @t343 @t341))) (and (= @t344 @t343) (= @t342 @t341))))) % 204.39/204.61 (define @t346 () (@var "BOUND_VARIABLE_8135" $$unsorted)) % 204.39/204.61 (define @t347 () (@var "BOUND_VARIABLE_8133" $$unsorted)) % 204.39/204.61 (define @t348 () (@list @t347 @t346)) % 204.39/204.61 (define @t349 () (tptp.vapp @t347 @t346)) % 204.39/204.61 (define @t350 () (not (= @t346 @t346))) % 204.39/204.61 (define @t351 () (or @t350 (= @t349 @t349))) % 204.39/204.61 (define @t352 () (@var "BOUND_VARIABLE_8131" $$unsorted)) % 204.39/204.61 (define @t353 () (tptp.vapp @t347 @t352)) % 204.39/204.61 (define @t354 () (= @t349 @t353)) % 204.39/204.61 (define @t355 () (not (= @t352 @t346))) % 204.39/204.61 (define @t356 () (or @t355 @t355 @t354)) % 204.39/204.61 (define @t357 () (@list @t352)) % 204.39/204.61 (define @t358 () (or @t355 @t354)) % 204.39/204.61 (define @t359 () (forall @t357 @t358)) % 204.39/204.61 (define @t360 () (forall @t348 @t359)) % 204.39/204.61 (define @t361 () (forall (@list @t347 @t346 @t352) @t358)) % 204.39/204.61 (define @t362 () (@list @t352 @t347 @t346)) % 204.39/204.61 (define @t363 () (not (= @t347 @t347))) % 204.39/204.61 (define @t364 () (or @t363 @t355 (= @t353 @t349))) % 204.39/204.61 (define @t365 () (@var "BOUND_VARIABLE_8129" $$unsorted)) % 204.39/204.61 (define @t366 () (= (tptp.vapp @t365 @t352) @t349)) % 204.39/204.61 (define @t367 () (not (= @t365 @t347))) % 204.39/204.61 (define @t368 () (or @t367 @t367 @t355 @t366)) % 204.39/204.61 (define @t369 () (@list @t365)) % 204.39/204.61 (define @t370 () (or @t367 @t355 @t366)) % 204.39/204.61 (define @t371 () (forall @t369 @t370)) % 204.39/204.61 (define @t372 () (forall @t362 @t371)) % 204.39/204.61 (define @t373 () (forall (@list @t352 @t347 @t346 @t365) @t370)) % 204.39/204.61 (define @t374 () (forall (@list @t365 @t352 @t347 @t346) @t370)) % 204.39/204.61 (define @t375 () (not @t19)) % 204.39/204.61 (define @t376 () (not @t20)) % 204.39/204.61 (define @t377 () (or @t376 @t375 @t18)) % 204.39/204.61 (define @t378 () (forall @t23 @t377)) % 204.39/204.61 (define @t379 () (@list @t8 @t6 @t16 @t15)) % 204.39/204.61 (define @t380 () (or (not @t18) @t21)) % 204.39/204.61 (define @t381 () (forall @t23 @t380)) % 204.39/204.61 (define @t382 () (and @t381 @t378)) % 204.39/204.61 (define @t383 () (= @t243 @t321)) % 204.39/204.61 (define @t384 () (= @t244 @t325)) % 204.39/204.61 (define @t385 () (and @t384 @t383)) % 204.39/204.61 (define @t386 () (or @t330 @t385)) % 204.39/204.61 (define @t387 () (@list false false)) % 204.39/204.61 (define @t388 () (not @t385)) % 204.39/204.61 (define @t389 () (@list @t385)) % 204.39/204.61 (define @t390 () (@var "b_VT" it_7_$$unsorted)) % 204.39/204.61 (define @t391 () (@var "b_VC" it_67_$$unsorted)) % 204.39/204.61 (define @t392 () (@var "b_VS" it_7_$$unsorted)) % 204.39/204.61 (define @t393 () (not @t176)) % 204.39/204.61 (define @t394 () (or @t177 @t393 @t175)) % 204.39/204.61 (define @t395 () (@var "b_VT" it_7_$$unsorted)) % 204.39/204.61 (define @t396 () (@var "b_Ve2" it_4_$$unsorted)) % 204.39/204.61 (define @t397 () (@var "b_Ve1" it_4_$$unsorted)) % 204.39/204.61 (define @t398 () (@var "b_VC" it_67_$$unsorted)) % 204.39/204.61 (define @t399 () (@var "b_VS" it_7_$$unsorted)) % 204.39/204.61 (define @t400 () (or @t221 @t220 @t148)) % 204.39/204.61 (define @t401 () (@var "b_VT" it_7_$$unsorted)) % 204.39/204.61 (define @t402 () (@var "b_VC" it_67_$$unsorted)) % 204.39/204.61 (define @t403 () (@var "b_VS" it_7_$$unsorted)) % 204.39/204.61 (define @t404 () (not @t183)) % 204.39/204.61 (define @t405 () (or @t184 @t404 @t182)) % 204.39/204.61 (define @t406 () (_ @t199 @t250 @t243 @t320)) % 204.39/204.61 (define @t407 () (and @t322 @t383)) % 204.39/204.61 (define @t408 () (@var "b_BOUND_VARIABLE_8438" it_4_$$unsorted)) % 204.39/204.61 (define @t409 () (@var "BOUND_VARIABLE_8436" $$unsorted)) % 204.39/204.61 (define @t410 () (@var "b_BOUND_VARIABLE_8434" it_4_$$unsorted)) % 204.39/204.61 (define @t411 () (@var "b_BOUND_VARIABLE_8422" it_4_$$unsorted)) % 204.39/204.61 (define @t412 () (@var "b_BOUND_VARIABLE_8418" it_4_$$unsorted)) % 204.39/204.61 (define @t413 () (@var "BOUND_VARIABLE_8420" $$unsorted)) % 204.39/204.61 (define @t414 () (@var "BOUND_VARIABLE_8438" $$unsorted)) % 204.39/204.61 (define @t415 () (@var "BOUND_VARIABLE_8434" $$unsorted)) % 204.39/204.61 (define @t416 () (@var "BOUND_VARIABLE_8422" $$unsorted)) % 204.39/204.61 (define @t417 () (@var "BOUND_VARIABLE_8418" $$unsorted)) % 204.39/204.61 (define @t418 () (tptp.visFreeVar @t40 @t38)) % 204.39/204.61 (define @t419 () (or (not @t418) @t48 @t47)) % 204.39/204.61 (define @t420 () (@list @t37 @t40 @t36)) % 204.39/204.61 (define @t421 () (forall @t420 @t419)) % 204.39/204.61 (define @t422 () (@list @t37 @t40 @t36)) % 204.39/204.61 (define @t423 () (and (not @t48) (not @t47))) % 204.39/204.61 (define @t424 () (or @t423 @t418)) % 204.39/204.61 (define @t425 () (forall @t420 @t424)) % 204.39/204.61 (define @t426 () (and @t425 @t421)) % 204.39/204.61 (define @t427 () (and @t424 @t419)) % 204.39/204.61 (define @t428 () (not (= @t38 @t38))) % 204.39/204.61 (define @t429 () (or @t428 @t427)) % 204.39/204.61 (define @t430 () (tptp.visFreeVar @t40 @t8)) % 204.39/204.61 (define @t431 () (and (or @t423 @t430) (or (not @t430) @t48 @t47))) % 204.39/204.61 (define @t432 () (not @t39)) % 204.39/204.61 (define @t433 () (or @t432 @t432 @t431)) % 204.39/204.61 (define @t434 () (or @t432 @t431)) % 204.39/204.61 (define @t435 () (forall @t112 @t434)) % 204.39/204.61 (define @t436 () (forall @t420 @t435)) % 204.39/204.61 (define @t437 () (forall (@list @t37 @t40 @t36 @t8) @t434)) % 204.39/204.61 (define @t438 () (@list @t8 @t37 @t40 @t36)) % 204.39/204.61 (define @t439 () (not (= @t40 @t40))) % 204.39/204.61 (define @t440 () (or @t439 @t432 @t431)) % 204.39/204.61 (define @t441 () (not @t42)) % 204.39/204.61 (define @t442 () (or @t441 @t48 @t47)) % 204.39/204.61 (define @t443 () (and (or @t423 @t42) @t442)) % 204.39/204.61 (define @t444 () (not @t43)) % 204.39/204.61 (define @t445 () (or @t444 @t444 @t432 @t443)) % 204.39/204.61 (define @t446 () (@list @t2)) % 204.39/204.61 (define @t447 () (or @t444 @t432 @t443)) % 204.39/204.61 (define @t448 () (forall @t446 @t447)) % 204.39/204.61 (define @t449 () (forall @t438 @t448)) % 204.39/204.61 (define @t450 () (forall (@list @t8 @t37 @t40 @t36 @t2) @t447)) % 204.39/204.61 (define @t451 () (_ @t248 @t314 @t243)) % 204.39/204.61 (define @t452 () (not @t451)) % 204.39/204.61 (define @t453 () (_ @t248 @t314 @t244)) % 204.39/204.61 (define @t454 () (not @t453)) % 204.39/204.61 (define @t455 () (and @t454 @t452)) % 204.39/204.61 (define @t456 () (or @t455 @t317)) % 204.39/204.61 (define @t457 () (not @t455)) % 204.39/204.61 (define @t458 () (@list @t455)) % 204.39/204.61 (define @t459 () (_ @t199 @t315 @t243 @t320)) % 204.39/204.61 (define @t460 () (not @t406)) % 204.39/204.61 (define @t461 () (or @t451 @t460 @t459)) % 204.39/204.61 (define @t462 () (@list true false false)) % 204.39/204.61 (define @t463 () (not @t459)) % 204.39/204.61 (define @t464 () (_ @t199 @t315 @t244 @t324)) % 204.39/204.61 (define @t465 () (not @t464)) % 204.39/204.61 (define @t466 () (or @t465 @t463 @t316)) % 204.39/204.61 (define @t467 () (_ @t199 @t250 @t244 @t324)) % 204.39/204.61 (define @t468 () (not @t467)) % 204.39/204.61 (define @t469 () (or @t453 @t468 @t464)) % 204.39/204.61 (define @t470 () (not @t384)) % 204.39/204.61 (define @t471 () (and @t468 @t384 @t326)) % 204.39/204.61 (assume @p1 (forall (@list @t2 @t1) (and (=> @t4 @t5) (=> @t5 @t4)))) % 204.39/204.61 (assume @p2 (forall (@list @t2 @t9 @t8 @t1 @t7 @t6) (and (=> @t11 @t14) (=> @t14 @t11)))) % 204.39/204.61 (assume @p3 @t24) % 204.39/204.61 (assume @p4 (forall (@list @t2 @t1 @t9 @t8) (not (= @t3 (tptp.vabs @t1 @t9 @t8))))) % 204.39/204.61 (assume @p5 @t25) % 204.39/204.61 (assume @p6 @t26) % 204.39/204.61 (assume @p7 (forall (@list @t30 @t29 @t28 @t8) (=> @t32 @t27))) % 204.39/204.61 (assume @p8 (forall (@list @t30 @t8) (=> @t35 @t33))) % 204.39/204.61 (assume @p9 (forall (@list @t37 @t36 @t8) (=> @t39 @t33))) % 204.39/204.61 (assume @p10 (forall (@list @t2 @t8 @t30 @t40) (=> (and @t43 @t35) (and (=> @t41 @t42) (=> @t42 @t41))))) % 204.39/204.61 (assume @p11 (forall (@list @t46 @t2 @t8 @t30 @t40 @t28) (=> (and @t43 (= @t8 (tptp.vabs @t30 @t46 @t28))) (and (=> @t45 @t42) (=> @t42 @t45))))) % 204.39/204.61 (assume @p12 @t53) % 204.39/204.61 (assume @p13 (and (=> @t54 true) (=> true @t54))) % 204.39/204.61 (assume @p14 (forall (@list @t2 @t9 @t56 @t1 @t7 @t55) (and (=> @t58 @t59) (=> @t59 @t58)))) % 204.39/204.61 (assume @p15 (and (=> @t60 true) (=> true @t60))) % 204.39/204.61 (assume @p16 (forall (@list @t9 @t7) (and (=> @t62 @t13) (=> @t13 @t62)))) % 204.39/204.61 (assume @p17 (forall (@list @t2 @t9 @t56) (not (= tptp.vempty @t57)))) % 204.39/204.61 (assume @p18 (forall (@list @t9) (not (= tptp.vnoType @t61)))) % 204.39/204.61 (assume @p19 (forall (@list @t63) (=> (= @t63 tptp.vnoType) (not @t64)))) % 204.39/204.61 (assume @p20 (forall (@list @t28 @t63) (=> @t65 @t64))) % 204.39/204.61 (assume @p21 (forall (@list @t63 @t66 @t28) (=> @t65 (=> (= @t66 (tptp.vgetSomeType @t63)) @t67)))) % 204.39/204.61 (assume @p22 (forall (@list @t30 @t2 @t56 @t66) (=> (and @t72 @t71) (=> @t70 @t68)))) % 204.39/204.61 (assume @p23 (forall (@list @t77 @t30 @t75 @t2 @t56 @t66 @t73) (=> @t80 (=> @t76 (=> @t70 @t74))))) % 204.39/204.61 (assume @p24 (forall (@list @t73 @t75 @t2 @t56 @t66 @t30 @t77) (=> @t80 (=> @t83 (=> @t70 @t82))))) % 204.39/204.61 (assume @p25 (forall (@list @t2 @t56 @t66) (=> (= @t69 @t66) (or (exists @t84 (and @t72 @t71 @t68)) (exists (@list @t77 @t30 @t75 @t73) (and @t72 @t79 @t76 @t74)) (exists (@list @t73 @t75 @t30 @t77) (and @t72 @t79 @t83 @t82)))))) % 204.39/204.61 (assume @p26 (forall @t88 (=> (and @t76 @t87) (tptp.vtcheck @t86 @t28 @t46)))) % 204.39/204.61 (assume @p27 (forall @t88 (=> (and @t83 @t87) (tptp.vtcheck (tptp.vbind @t75 @t73 @t86) @t28 @t46)))) % 204.39/204.61 (assume @p28 (forall (@list @t40 @t28) (=> (= (tptp.vgensym @t28) @t40) (not @t44)))) % 204.39/204.61 (assume @p29 (forall (@list @t30 @t75 @t2 @t8 @t6 @t66 @t28) (=> @t94 (=> @t76 (=> @t90 @t67))))) % 204.39/204.61 (assume @p30 (forall (@list @t28 @t30 @t2 @t8 @t6 @t66 @t75) (=> @t94 (=> @t83 (=> @t90 @t95))))) % 204.39/204.61 (assume @p31 (forall (@list @t2 @t8 @t6 @t66 @t37 @t30 @t28 @t36) (=> (and @t72 @t93 @t98) (=> @t90 @t97)))) % 204.39/204.61 (assume @p32 (forall (@list @t28 @t30 @t2 @t8 @t6 @t66 @t75 @t46 @t37) (=> @t102 (=> @t76 (=> @t90 @t100))))) % 204.39/204.61 (assume @p33 (forall (@list @t2 @t8 @t6 @t66 @t30 @t28 @t46 @t75 @t103 @t37) (=> @t102 (=> (and @t83 @t106 @t105) (=> @t90 @t104))))) % 204.39/204.61 (assume @p34 (forall (@list @t2 @t8 @t6 @t66 @t75 @t46 @t30 @t28 @t37) (=> @t102 (=> (and @t83 @t108) (=> @t90 @t107))))) % 204.39/204.61 (assume @p35 (forall (@list @t2 @t8 @t6 @t66) (=> (= @t89 @t66) (or (exists (@list @t30 @t75 @t28) (and @t72 @t93 @t92 @t76 @t67)) (exists (@list @t28 @t30 @t75) (and @t72 @t93 @t92 @t83 @t95)) (exists (@list @t37 @t30 @t28 @t36) (and @t72 @t93 @t98 @t97)) (exists (@list @t28 @t30 @t75 @t46 @t37) (and @t72 @t93 @t101 @t76 @t100)) (exists (@list @t30 @t28 @t46 @t75 @t103 @t37) (and @t72 @t93 @t101 @t83 @t106 @t105 @t104)) (exists (@list @t75 @t46 @t30 @t28 @t37) (and @t72 @t93 @t101 @t83 @t108 @t107)))))) % 204.39/204.61 (assume @p36 (and (=> @t109 true) (=> true @t109))) % 204.39/204.61 (assume @p37 (forall (@list @t8 @t6) (and (=> @t111 @t12) (=> @t12 @t111)))) % 204.39/204.61 (assume @p38 (forall @t112 (not (= tptp.vnoExp @t110)))) % 204.39/204.61 (assume @p39 (forall (@list @t113) (=> (= @t113 tptp.vnoExp) (not @t114)))) % 204.39/204.61 (assume @p40 (forall (@list @t28 @t113) (=> @t115 @t114))) % 204.39/204.61 (assume @p41 (forall (@list @t113 @t66 @t28) (=> @t115 (=> (= @t66 (tptp.vgetSomeExp @t113)) @t67)))) % 204.39/204.61 (assume @p42 (forall (@list @t30 @t8 @t66) (=> @t35 @t119))) % 204.39/204.61 (assume @p43 (forall (@list @t30 @t29 @t28 @t8 @t66) (=> @t32 @t119))) % 204.39/204.61 (assume @p44 (forall (@list @t36 @t8 @t66 @t30 @t29 @t37 @t120) (=> @t125 (=> (and @t124 @t123) (=> @t118 @t122))))) % 204.39/204.61 (assume @p45 (forall (@list @t29 @t120 @t8 @t66 @t30 @t36 @t37) (=> @t125 (=> (and @t124 @t128 @t127) (=> @t118 @t126))))) % 204.39/204.61 (assume @p46 (forall (@list @t30 @t29 @t37 @t120 @t36 @t8 @t66) (=> @t125 (=> (and @t124 @t128 @t129) @t119)))) % 204.39/204.61 (assume @p47 (forall (@list @t37 @t8 @t66 @t130 @t36) (=> @t138 (=> (and @t133 @t132) (=> @t118 @t131))))) % 204.39/204.61 (assume @p48 (forall (@list @t36 @t37 @t130 @t8 @t66) (=> @t138 (=> (and @t133 @t139) @t119)))) % 204.39/204.61 (assume @p49 (forall (@list @t8 @t66) (=> (= @t117 @t66) (or (exists @t84 (and @t35 @t116)) (exists (@list @t30 @t29 @t28) (and @t32 @t116)) (exists (@list @t36 @t30 @t29 @t37 @t120) (and @t125 @t124 @t123 @t122)) (exists (@list @t29 @t120 @t30 @t36 @t37) (and @t125 @t124 @t128 @t127 @t126)) (exists (@list @t30 @t29 @t37 @t120 @t36) (and @t125 @t124 @t128 @t129 @t116)) (exists (@list @t37 @t130 @t36) (and @t39 @t137 @t133 @t132 @t131)) (exists (@list @t36 @t37 @t130) (and @t39 @t137 @t133 @t139 @t116)))))) % 204.39/204.61 (assume @p50 (forall (@list @t9 @t7 @t141 @t140) (and (=> @t142 @t143) (=> @t143 @t142)))) % 204.39/204.61 (assume @p51 (forall (@list @t77 @t30 @t46) (=> @t144 (tptp.vtcheck @t77 @t34 @t46)))) % 204.39/204.61 (assume @p52 (forall (@list @t77 @t30 @t28 @t29 @t46) (=> @t147 (tptp.vtcheck @t77 @t31 @t145)))) % 204.39/204.61 (assume @p53 @t153) % 204.39/204.61 (assume @p54 @t173) % 204.39/204.61 (assume @p55 (forall @t174 (=> (and (= @t81 tptp.vnoType) @t170) @t147))) % 204.39/204.61 (assume @p56 (forall @t174 (=> (and (not (tptp.visFreeVar @t30 @t28)) @t147) @t170))) % 204.39/204.61 (assume @p57 @t181) % 204.39/204.61 (assume @p58 @t187) % 204.39/204.61 (assume @p59 @t195) % 204.39/204.61 (assume @p60 true) % 204.39/204.61 ; WARNING: add trust step for TRUST % 204.39/204.61 ; trust TRUST PREPROCESS_SORT_INFER % 204.39/204.61 (step @p61 :rule trust :premises () :args ((= (forall @t172 @t232) @t219))) % 204.39/204.61 (step @p62 :rule aci_norm :args ((= (or @t231 @t233) @t232))) % 204.39/204.61 (step @p63 :rule bool-impl-elim :args (@t170 @t233)) % 204.39/204.61 (step @p64 :rule trans :premises (@p63 @p62)) % 204.39/204.61 (step @p65 :rule cong :premises (@p64) :args ((forall @t172 (=> @t170 @t233)))) % 204.39/204.61 (step @p66 :rule aci_norm :args ((= (or @t222 @t234) @t223))) % 204.39/204.61 (step @p67 :rule bool-and-de-morgan :args (@t150 @t149 true)) % 204.39/204.61 (step @p68 :rule refl :args (@t222)) % 204.39/204.61 (step @p69 :rule nary_cong :premises (@p68 @p67) :args ((or @t222 @t235))) % 204.39/204.61 (step @p70 :rule bool-and-de-morgan :args (@t154 @t150 (and @t149))) % 204.39/204.61 (step @p71 :rule trans :premises (@p70 @p69)) % 204.39/204.61 (step @p72 :rule trans :premises (@p71 @p66)) % 204.39/204.61 (step @p73 :rule cong :premises (@p72) :args (@t236)) % 204.39/204.61 (step @p74 :rule cong :premises (@p73) :args (@t237)) % 204.39/204.61 (step @p75 :rule exists-elim :args ((= @t157 @t237))) % 204.39/204.61 (step @p76 :rule trans :premises (@p75 @p74)) % 204.39/204.61 (step @p77 :rule aci_norm :args ((= (or @t227 (or @t226 @t225)) @t228))) % 204.39/204.61 (step @p78 :rule bool-and-de-morgan :args (@t161 @t160 true)) % 204.39/204.61 (step @p79 :rule refl :args (@t227)) % 204.39/204.61 (step @p80 :rule nary_cong :premises (@p79 @p78) :args ((or @t227 (not (and @t161 @t160))))) % 204.39/204.61 (step @p81 :rule bool-and-de-morgan :args (@t162 @t161 (and @t160))) % 204.39/204.61 (step @p82 :rule trans :premises (@p81 @p80)) % 204.39/204.61 (step @p83 :rule trans :premises (@p82 @p77)) % 204.39/204.61 (step @p84 :rule cong :premises (@p83) :args (@t238)) % 204.39/204.61 (step @p85 :rule cong :premises (@p84) :args (@t239)) % 204.39/204.61 (step @p86 :rule exists-elim :args ((= @t165 @t239))) % 204.39/204.61 (step @p87 :rule trans :premises (@p86 @p85)) % 204.39/204.61 (step @p88 :rule bool-and-de-morgan :args (@t166 @t144 true)) % 204.39/204.61 (step @p89 :rule cong :premises (@p88) :args (@t240)) % 204.39/204.61 (step @p90 :rule cong :premises (@p89) :args (@t241)) % 204.39/204.61 (step @p91 :rule exists-elim :args ((= @t168 @t241))) % 204.39/204.61 (step @p92 :rule trans :premises (@p91 @p90)) % 204.39/204.61 (step @p93 :rule nary_cong :premises (@p92 @p87 @p76) :args (@t169)) % 204.39/204.61 (step @p94 :rule refl :args (@t170)) % 204.39/204.61 (step @p95 :rule cong :premises (@p94 @p93) :args (@t171)) % 204.39/204.61 (step @p96 :rule cong :premises (@p95) :args (@t173)) % 204.39/204.61 (step @p97 :rule trans :premises (@p96 @p65)) % 204.39/204.61 (step @p98 :rule trans :premises (@p97 @p61)) % 204.39/204.61 (step @p99 :rule eq_resolve :premises (@p54 @p98)) % 204.39/204.61 (step @p100 :rule refl :args (@t251)) % 204.39/204.61 (step @p101 :rule refl :args (@t253)) % 204.39/204.61 (step @p102 :rule eq-symm :args (@t245 @t204)) % 204.39/204.61 (step @p103 :rule cong :premises (@p102) :args (@t254)) % 204.39/204.61 (step @p104 :rule nary_cong :premises (@p103 @p101 @p100) :args (@t255)) % 204.39/204.61 (step @p105 :rule cong :premises (@p104) :args (@t256)) % 204.39/204.61 (step @p106 :rule cong :premises (@p105) :args (@t257)) % 204.39/204.61 (step @p107 :rule refl :args (@t258)) % 204.39/204.61 (step @p108 :rule eq-symm :args (@t252 @t211)) % 204.39/204.61 (step @p109 :rule cong :premises (@p108) :args (@t259)) % 204.39/204.61 (step @p110 :rule eq-symm :args (@t245 @t213)) % 204.39/204.61 (step @p111 :rule cong :premises (@p110) :args (@t260)) % 204.39/204.61 (step @p112 :rule nary_cong :premises (@p111 @p109 @p107) :args (@t261)) % 204.39/204.61 (step @p113 :rule cong :premises (@p112) :args (@t262)) % 204.39/204.61 (step @p114 :rule cong :premises (@p113) :args (@t263)) % 204.39/204.61 (step @p115 :rule refl :args (@t266)) % 204.39/204.61 (step @p116 :rule refl :args (@t268)) % 204.39/204.61 (step @p117 :rule nary_cong :premises (@p116 @p115 @p114 @p106) :args (@t269)) % 204.39/204.61 (step @p118 :rule refl :args (@t219)) % 204.39/204.61 (step @p119 :rule cong :premises (@p118 @p117) :args ((=> @t219 @t269))) % 204.39/204.61 (assume-push @p526 @t219) % 204.39/204.61 (step @p121 :rule instantiate :premises (@p99) :args ((@list @t245 @t252 @t250))) % 204.39/204.61 (step-pop @p527 :rule scope :premises (@p121)) % 204.39/204.61 (step @p122 :rule process_scope :premises (@p527) :args (@t269)) % 204.39/204.61 (step @p124 :rule eq_resolve :premises (@p122 @p119)) % 204.39/204.61 (step @p125 :rule implies_elim :premises (@p124)) % 204.39/204.61 (step @p126 :rule chain_m_resolution :premises (@p125 @p99) :args (@t274 @t275 (@list @t219))) % 204.39/204.61 ; trust TRUST PREPROCESS_SORT_INFER % 204.39/204.61 (step @p127 :rule trust :premises () :args ((= @t26 @t280))) % 204.39/204.61 (step @p128 :rule eq_resolve :premises (@p6 @p127)) % 204.39/204.61 (step @p129 :rule eq-symm :args (@t284 @t245)) % 204.39/204.61 (step @p130 :rule cong :premises (@p129) :args (@t285)) % 204.39/204.61 (step @p131 :rule refl :args (@t280)) % 204.39/204.61 (step @p132 :rule cong :premises (@p131 @p130) :args ((=> @t280 @t285))) % 204.39/204.61 (assume-push @p528 @t280) % 204.39/204.61 (step @p134 :rule instantiate :premises (@p128) :args ((@list @t283 @t282 @t281 @t244 @t243))) % 204.39/204.61 (step-pop @p529 :rule scope :premises (@p134)) % 204.39/204.61 (step @p135 :rule process_scope :premises (@p529) :args (@t285)) % 204.39/204.61 (step @p137 :rule eq_resolve :premises (@p135 @p132)) % 204.39/204.61 (step @p138 :rule implies_elim :premises (@p137)) % 204.39/204.61 (step @p139 :rule chain_m_resolution :premises (@p138 @p128) :args (@t287 @t275 (@list @t280))) % 204.39/204.61 (step @p140 :rule bool-double-not-elim :args (@t286)) % 204.39/204.61 (step @p141 :rule refl :args (@t291)) % 204.39/204.61 (step @p142 :rule nary_cong :premises (@p141 @p140) :args ((or @t291 (not @t287)))) % 204.39/204.61 (step @p143 :rule cnf_or_neg :args (@t291 0)) % 204.39/204.61 (step @p144 :rule eq_resolve :premises (@p143 @p142)) % 204.39/204.61 (step @p145 :rule reordering :premises (@p144) :args ((or @t286 @t291))) % 204.39/204.61 (step @p146 :rule chain_m_resolution :premises (@p145 @p139) :args (@t291 @t292 (@list @t286))) % 204.39/204.61 (step @p147 :rule refl :args (@t293)) % 204.39/204.61 (step @p148 :rule bool-double-not-elim :args (@t272)) % 204.39/204.61 (step @p149 :rule nary_cong :premises (@p148 @p147) :args ((or (not @t273) @t293))) % 204.39/204.61 (step @p150 :rule refl :args (@t289)) % 204.39/204.61 (step @p151 :rule eq-symm :args (@t290 @t252)) % 204.39/204.61 (step @p152 :rule cong :premises (@p151) :args (@t294)) % 204.39/204.61 (step @p153 :rule nary_cong :premises (@p130 @p152 @p150) :args (@t295)) % 204.39/204.61 (step @p154 :rule cong :premises (@p153) :args (@t296)) % 204.39/204.61 (step @p155 :rule refl :args (@t273)) % 204.39/204.61 (step @p156 :rule cong :premises (@p155 @p154) :args ((=> @t273 @t296))) % 204.39/204.61 (assume-push @p530 @t273) % 204.39/204.61 (step @p158 :rule skolemize :premises (@p530)) % 204.39/204.61 (step-pop @p531 :rule scope :premises (@p158)) % 204.39/204.61 (step @p159 :rule process_scope :premises (@p531) :args (@t296)) % 204.39/204.61 (step @p161 :rule eq_resolve :premises (@p159 @p156)) % 204.39/204.61 (step @p162 :rule implies_elim :premises (@p161)) % 204.39/204.61 (step @p163 :rule eq_resolve :premises (@p162 @p149)) % 204.39/204.61 (step @p164 :rule chain_m_resolution :premises (@p163 @p146) :args (@t272 @t275 (@list @t291))) % 204.39/204.61 ; trust TRUST PREPROCESS_SORT_INFER % 204.39/204.61 (step @p165 :rule trust :premises () :args ((= @t25 @t299))) % 204.39/204.61 (step @p166 :rule eq_resolve :premises (@p5 @p165)) % 204.39/204.61 (step @p167 :rule eq-symm :args (@t301 @t245)) % 204.39/204.61 (step @p168 :rule cong :premises (@p167) :args (@t302)) % 204.39/204.61 (step @p169 :rule refl :args (@t299)) % 204.39/204.61 (step @p170 :rule cong :premises (@p169 @p168) :args ((=> @t299 @t302))) % 204.39/204.61 (assume-push @p532 @t299) % 204.39/204.61 (step @p172 :rule instantiate :premises (@p166) :args ((@list @t300 @t244 @t243))) % 204.39/204.61 (step-pop @p533 :rule scope :premises (@p172)) % 204.39/204.61 (step @p173 :rule process_scope :premises (@p533) :args (@t302)) % 204.39/204.61 (step @p175 :rule eq_resolve :premises (@p173 @p170)) % 204.39/204.61 (step @p176 :rule implies_elim :premises (@p175)) % 204.39/204.61 (step @p177 :rule chain_m_resolution :premises (@p176 @p166) :args (@t304 @t275 (@list @t299))) % 204.39/204.61 (step @p178 :rule bool-double-not-elim :args (@t303)) % 204.39/204.61 (step @p179 :rule refl :args (@t306)) % 204.39/204.61 (step @p180 :rule nary_cong :premises (@p179 @p178) :args ((or @t306 (not @t304)))) % 204.39/204.61 (step @p181 :rule cnf_or_neg :args (@t306 0)) % 204.39/204.61 (step @p182 :rule eq_resolve :premises (@p181 @p180)) % 204.39/204.61 (step @p183 :rule reordering :premises (@p182) :args ((or @t303 @t306))) % 204.39/204.61 (step @p184 :rule chain_m_resolution :premises (@p183 @p177) :args (@t306 @t292 (@list @t303))) % 204.39/204.61 (step @p185 :rule refl :args (@t307)) % 204.39/204.61 (step @p186 :rule bool-double-not-elim :args (@t265)) % 204.39/204.61 (step @p187 :rule nary_cong :premises (@p186 @p185) :args ((or (not @t266) @t307))) % 204.39/204.61 (step @p188 :rule eq-symm :args (@t305 @t264)) % 204.39/204.61 (step @p189 :rule cong :premises (@p188) :args (@t308)) % 204.39/204.61 (step @p190 :rule nary_cong :premises (@p168 @p189) :args (@t309)) % 204.39/204.61 (step @p191 :rule cong :premises (@p190) :args (@t310)) % 204.39/204.61 (step @p192 :rule cong :premises (@p115 @p191) :args ((=> @t266 @t310))) % 204.39/204.61 (assume-push @p534 @t266) % 204.39/204.61 (step @p194 :rule skolemize :premises (@p534)) % 204.39/204.61 (step-pop @p535 :rule scope :premises (@p194)) % 204.39/204.61 (step @p195 :rule process_scope :premises (@p535) :args (@t310)) % 204.39/204.61 (step @p197 :rule eq_resolve :premises (@p195 @p192)) % 204.39/204.61 (step @p198 :rule implies_elim :premises (@p197)) % 204.39/204.61 (step @p199 :rule eq_resolve :premises (@p198 @p187)) % 204.39/204.61 (step @p200 :rule chain_m_resolution :premises (@p199 @p184) :args (@t265 @t275 (@list @t306))) % 204.39/204.61 ; trust TRUST PREPROCESS_SORT_INFER % 204.39/204.61 (step @p201 :rule trust :premises () :args ((= (not (forall @t180 @t312)) (not @t249)))) % 204.39/204.61 (step @p202 :rule aci_norm :args ((= (or (or @t191 @t311) @t189) @t312))) % 204.39/204.61 (step @p203 :rule refl :args (@t189)) % 204.39/204.61 (step @p204 :rule refl :args (@t311)) % 204.39/204.61 (step @p205 :rule bool-double-not-elim :args (@t191)) % 204.39/204.61 (step @p206 :rule nary_cong :premises (@p205 @p204) :args ((or (not @t192) @t311))) % 204.39/204.61 (step @p207 :rule bool-and-de-morgan :args (@t192 @t190 true)) % 204.39/204.61 (step @p208 :rule trans :premises (@p207 @p206)) % 204.39/204.61 (step @p209 :rule nary_cong :premises (@p208 @p203) :args ((or (not @t193) @t189))) % 204.39/204.61 (step @p210 :rule trans :premises (@p209 @p202)) % 204.39/204.61 (step @p211 :rule bool-impl-elim :args (@t193 @t189)) % 204.39/204.61 (step @p212 :rule trans :premises (@p211 @p210)) % 204.39/204.61 (step @p213 :rule cong :premises (@p212) :args (@t194)) % 204.39/204.61 (step @p214 :rule cong :premises (@p213) :args (@t195)) % 204.39/204.61 (step @p215 :rule trans :premises (@p214 @p201)) % 204.39/204.61 (step @p216 :rule eq_resolve :premises (@p59 @p215)) % 204.39/204.61 (step @p217 :rule skolemize :premises (@p216)) % 204.39/204.61 (step @p218 :rule bool-double-not-elim :args (@t267)) % 204.39/204.61 (step @p219 :rule refl :args (@t318)) % 204.39/204.61 (step @p220 :rule nary_cong :premises (@p219 @p218) :args ((or @t318 (not @t268)))) % 204.39/204.61 (step @p221 :rule cnf_or_neg :args (@t318 1)) % 204.39/204.61 (step @p222 :rule eq_resolve :premises (@p221 @p220)) % 204.39/204.61 (step @p223 :rule reordering :premises (@p222) :args ((or @t267 @t318))) % 204.39/204.61 (step @p224 :rule chain_m_resolution :premises (@p223 @p217) :args (@t267 @t292 @t319)) % 204.39/204.61 (step @p225 :rule cnf_or_pos :args (@t274)) % 204.39/204.61 (step @p226 :rule reordering :premises (@p225) :args ((or @t268 @t266 @t273 @t271 (not @t274)))) % 204.39/204.61 (step @p227 :rule chain_m_resolution :premises (@p226 @p224 @p200 @p164 @p126) :args (@t271 (@list false false false false) (@list @t267 @t265 @t272 @t274))) % 204.39/204.61 (step @p228 :rule refl :args (@t332)) % 204.39/204.61 (step @p229 :rule bool-double-not-elim :args (@t270)) % 204.39/204.61 (step @p230 :rule nary_cong :premises (@p229 @p228) :args ((or (not @t271) @t332))) % 204.39/204.61 (step @p231 :rule refl :args (@t323)) % 204.39/204.61 (step @p232 :rule refl :args (@t327)) % 204.39/204.61 (step @p233 :rule eq-symm :args (@t328 @t245)) % 204.39/204.61 (step @p234 :rule cong :premises (@p233) :args (@t333)) % 204.39/204.61 (step @p235 :rule nary_cong :premises (@p234 @p232 @p231) :args (@t334)) % 204.39/204.61 (step @p236 :rule cong :premises (@p235) :args (@t335)) % 204.39/204.61 (step @p237 :rule refl :args (@t271)) % 204.39/204.61 (step @p238 :rule cong :premises (@p237 @p236) :args ((=> @t271 @t335))) % 204.39/204.61 (assume-push @p536 @t271) % 204.39/204.61 (step @p240 :rule skolemize :premises (@p536)) % 204.39/204.61 (step-pop @p537 :rule scope :premises (@p240)) % 204.39/204.61 (step @p241 :rule process_scope :premises (@p537) :args (@t335)) % 204.39/204.61 (step @p243 :rule eq_resolve :premises (@p241 @p238)) % 204.39/204.61 (step @p244 :rule implies_elim :premises (@p243)) % 204.39/204.61 (step @p245 :rule eq_resolve :premises (@p244 @p230)) % 204.39/204.61 (step @p246 :rule chain_m_resolution :premises (@p245 @p227) :args (@t332 @t292 (@list @t270))) % 204.39/204.61 (step @p247 :rule bool-double-not-elim :args (@t326)) % 204.39/204.61 (step @p248 :rule refl :args (@t331)) % 204.39/204.61 (step @p249 :rule nary_cong :premises (@p248 @p247) :args ((or @t331 (not @t327)))) % 204.39/204.61 (step @p250 :rule cnf_or_neg :args (@t331 1)) % 204.39/204.61 (step @p251 :rule eq_resolve :premises (@p250 @p249)) % 204.39/204.61 (step @p252 :rule reordering :premises (@p251) :args ((or @t326 @t331))) % 204.39/204.61 (step @p253 :rule chain_m_resolution :premises (@p252 @p246) :args (@t326 @t292 @t336)) % 204.39/204.61 ; trust TRUST PREPROCESS_SORT_INFER % 204.39/204.61 (step @p254 :rule trust :premises () :args ((= @t345 (forall (@list @t340 @t338 @t339 @t337) (or (not (= (_ @t203 @t340 @t338) (_ @t203 @t339 @t337))) (and (= @t340 @t339) (= @t338 @t337))))))) % 204.39/204.61 (step @p255 :rule aci_norm :args ((= (and @t345 true) @t345))) % 204.39/204.61 (step @p256 :rule quant-unused-vars :args ((= (forall @t348 true) true))) % 204.39/204.61 (step @p257 :rule evaluate :args ((or false true))) % 204.39/204.61 (step @p258 :rule eq-refl :args (@t349)) % 204.39/204.61 (step @p259 :rule evaluate :args ((not true))) % 204.39/204.61 (step @p260 :rule eq-refl :args (@t346)) % 204.39/204.61 (step @p261 :rule cong :premises (@p260) :args (@t350)) % 204.39/204.61 (step @p262 :rule trans :premises (@p261 @p259)) % 204.39/204.61 (step @p263 :rule nary_cong :premises (@p262 @p258) :args (@t351)) % 204.39/204.61 (step @p264 :rule trans :premises (@p263 @p257)) % 204.39/204.61 (step @p265 :rule cong :premises (@p264) :args ((forall @t348 @t351))) % 204.39/204.61 (step @p266 :rule trans :premises (@p265 @p256)) % 204.39/204.61 (step @p267 :rule quant-var-elim-eq :args ((= (forall @t357 @t356) @t351))) % 204.39/204.61 (step @p268 :rule aci_norm :args ((= @t358 @t356))) % 204.39/204.61 (step @p269 :rule cong :premises (@p268) :args (@t359)) % 204.39/204.61 (step @p270 :rule trans :premises (@p269 @p267)) % 204.39/204.61 (step @p271 :rule cong :premises (@p270) :args (@t360)) % 204.39/204.61 (step @p272 :rule quant-merge-prenex :args ((= @t360 @t361))) % 204.39/204.61 (step @p273 :rule symm :premises (@p272)) % 204.39/204.61 (step @p274 :rule quant_var_reordering :args ((= (forall @t362 @t358) @t361))) % 204.39/204.61 (step @p275 :rule trans :premises (@p274 @p273 @p271)) % 204.39/204.61 (step @p276 :rule trans :premises (@p275 @p266)) % 204.39/204.61 (step @p277 :rule aci_norm :args ((= (or false @t355 @t354) @t358))) % 204.39/204.61 (step @p278 :rule eq-symm :args (@t353 @t349)) % 204.39/204.61 (step @p279 :rule refl :args (@t355)) % 204.39/204.61 (step @p280 :rule eq-refl :args (@t347)) % 204.39/204.61 (step @p281 :rule cong :premises (@p280) :args (@t363)) % 204.39/204.61 (step @p282 :rule trans :premises (@p281 @p259)) % 204.39/204.61 (step @p283 :rule nary_cong :premises (@p282 @p279 @p278) :args (@t364)) % 204.39/204.61 (step @p284 :rule trans :premises (@p283 @p277)) % 204.39/204.61 (step @p285 :rule cong :premises (@p284) :args ((forall @t362 @t364))) % 204.39/204.61 (step @p286 :rule trans :premises (@p285 @p276)) % 204.39/204.61 (step @p287 :rule quant-var-elim-eq :args ((= (forall @t369 @t368) @t364))) % 204.39/204.61 (step @p288 :rule aci_norm :args ((= @t370 @t368))) % 204.39/204.61 (step @p289 :rule cong :premises (@p288) :args (@t371)) % 204.39/204.61 (step @p290 :rule trans :premises (@p289 @p287)) % 204.39/204.61 (step @p291 :rule cong :premises (@p290) :args (@t372)) % 204.39/204.61 (step @p292 :rule quant-merge-prenex :args ((= @t372 @t373))) % 204.39/204.61 (step @p293 :rule symm :premises (@p292)) % 204.39/204.61 (step @p294 :rule quant_var_reordering :args ((= @t374 @t373))) % 204.39/204.61 (step @p295 :rule trans :premises (@p294 @p293 @p291)) % 204.39/204.61 (step @p296 :rule trans :premises (@p295 @p286)) % 204.39/204.61 (step @p297 :rule refl :args (@t345)) % 204.39/204.61 (step @p298 :rule nary_cong :premises (@p297 @p296) :args ((and @t345 @t374))) % 204.39/204.61 (step @p299 :rule trans :premises (@p298 @p255)) % 204.39/204.61 (step @p300 :rule alpha_equiv :args (@t378 @t379 (@list @t365 @t352 @t347 @t346))) % 204.39/204.61 (step @p301 :rule alpha_equiv :args (@t381 @t379 (@list @t344 @t342 @t343 @t341))) % 204.39/204.61 (step @p302 :rule nary_cong :premises (@p301 @p300) :args (@t382)) % 204.39/204.61 (step @p303 :rule quant-miniscope-and :args ((= (forall @t23 (and @t380 @t377)) @t382))) % 204.39/204.61 (step @p304 :rule trans :premises (@p303 @p302)) % 204.39/204.61 (step @p305 :rule trans :premises (@p304 @p299)) % 204.39/204.61 (step @p306 :rule aci_norm :args ((= (or (or @t376 @t375) @t18) @t377))) % 204.39/204.61 (step @p307 :rule refl :args (@t18)) % 204.39/204.61 (step @p308 :rule bool-and-de-morgan :args (@t20 @t19 true)) % 204.39/204.61 (step @p309 :rule nary_cong :premises (@p308 @p307) :args ((or (not @t21) @t18))) % 204.39/204.61 (step @p310 :rule trans :premises (@p309 @p306)) % 204.39/204.61 (step @p311 :rule bool-impl-elim :args (@t21 @t18)) % 204.39/204.61 (step @p312 :rule trans :premises (@p311 @p310)) % 204.39/204.61 (step @p313 :rule bool-impl-elim :args (@t18 @t21)) % 204.39/204.61 (step @p314 :rule nary_cong :premises (@p313 @p312) :args (@t22)) % 204.39/204.61 (step @p315 :rule cong :premises (@p314) :args (@t24)) % 204.39/204.61 (step @p316 :rule trans :premises (@p315 @p305)) % 204.39/204.61 (step @p317 :rule trans :premises (@p316 @p254)) % 204.39/204.61 (step @p318 :rule eq_resolve :premises (@p3 @p317)) % 204.39/204.61 (step @p319 :rule instantiate :premises (@p318) :args ((@list @t244 @t243 @t325 @t321))) % 204.39/204.61 (step @p320 :rule bool-double-not-elim :args (@t329)) % 204.39/204.61 (step @p321 :rule nary_cong :premises (@p248 @p320) :args ((or @t331 (not @t330)))) % 204.39/204.61 (step @p322 :rule cnf_or_neg :args (@t331 0)) % 204.39/204.61 (step @p323 :rule eq_resolve :premises (@p322 @p321)) % 204.39/204.61 (step @p324 :rule reordering :premises (@p323) :args ((or @t329 @t331))) % 204.39/204.61 (step @p325 :rule chain_m_resolution :premises (@p324 @p246) :args (@t329 @t292 @t336)) % 204.39/204.61 (step @p326 :rule cnf_or_pos :args (@t386)) % 204.39/204.61 (step @p327 :rule reordering :premises (@p326) :args ((or @t330 @t385 (not @t386)))) % 204.39/204.61 (step @p328 :rule chain_m_resolution :premises (@p327 @p325 @p319) :args (@t385 @t387 (@list @t329 @t386))) % 204.39/204.61 (step @p329 :rule cnf_and_pos :args (@t385 0)) % 204.39/204.61 (step @p330 :rule reordering :premises (@p329) :args ((or @t384 @t388))) % 204.39/204.61 (step @p331 :rule chain_m_resolution :premises (@p330 @p328) :args (@t384 @t275 @t389)) % 204.39/204.61 ; trust TRUST PREPROCESS_SORT_INFER % 204.39/204.61 (step @p332 :rule trust :premises () :args ((= (forall @t180 @t394) (forall (@list @t30 @t392 @t391 @t390) (or (_ @t248 @t30 @t244) (not (_ @t199 @t391 @t244 @t390)) (_ @t199 (_ @t210 @t30 @t392 @t391) @t244 @t390)))))) % 204.39/204.61 (step @p333 :rule aci_norm :args ((= (or (or @t177 @t393) @t175) @t394))) % 204.39/204.61 (step @p334 :rule refl :args (@t175)) % 204.39/204.61 (step @p335 :rule refl :args (@t393)) % 204.39/204.61 (step @p336 :rule bool-double-not-elim :args (@t177)) % 204.39/204.61 (step @p337 :rule nary_cong :premises (@p336 @p335) :args ((or (not @t178) @t393))) % 204.39/204.61 (step @p338 :rule bool-and-de-morgan :args (@t178 @t176 true)) % 204.39/204.61 (step @p339 :rule trans :premises (@p338 @p337)) % 204.39/204.61 (step @p340 :rule nary_cong :premises (@p339 @p334) :args ((or (not @t179) @t175))) % 204.39/204.61 (step @p341 :rule trans :premises (@p340 @p333)) % 204.39/204.61 (step @p342 :rule bool-impl-elim :args (@t179 @t175)) % 204.39/204.61 (step @p343 :rule trans :premises (@p342 @p341)) % 204.39/204.61 (step @p344 :rule cong :premises (@p343) :args (@t181)) % 204.39/204.61 (step @p345 :rule trans :premises (@p344 @p332)) % 204.39/204.61 (step @p346 :rule eq_resolve :premises (@p57 @p345)) % 204.39/204.61 (step @p347 :rule instantiate :premises (@p346) :args ((@list @t314 @t313 @t250 @t324))) % 204.39/204.61 ; trust TRUST PREPROCESS_SORT_INFER % 204.39/204.61 (step @p348 :rule trust :premises () :args ((= (forall @t152 @t400) (forall (@list @t399 @t398 @t397 @t396 @t395) (or (not (_ @t199 @t398 @t397 (_ @t201 @t399 @t395))) (not (_ @t199 @t398 @t396 @t399)) (_ @t199 @t398 (_ @t203 @t397 @t396) @t395)))))) % 204.39/204.61 (step @p349 :rule aci_norm :args ((= (or @t234 @t148) @t400))) % 204.39/204.61 (step @p350 :rule refl :args (@t148)) % 204.39/204.61 (step @p351 :rule nary_cong :premises (@p67 @p350) :args ((or @t235 @t148))) % 204.39/204.61 (step @p352 :rule trans :premises (@p351 @p349)) % 204.39/204.61 (step @p353 :rule bool-impl-elim :args (@t151 @t148)) % 204.39/204.61 (step @p354 :rule trans :premises (@p353 @p352)) % 204.39/204.61 (step @p355 :rule cong :premises (@p354) :args (@t153)) % 204.39/204.61 (step @p356 :rule trans :premises (@p355 @p348)) % 204.39/204.61 (step @p357 :rule eq_resolve :premises (@p53 @p356)) % 204.39/204.61 (step @p358 :rule instantiate :premises (@p357) :args ((@list @t320 @t315 @t244 @t243 @t252))) % 204.39/204.61 ; trust TRUST PREPROCESS_SORT_INFER % 204.39/204.61 (step @p359 :rule trust :premises () :args ((= (forall @t180 @t405) (forall (@list @t30 @t403 @t402 @t401) (or (_ @t248 @t30 @t243) (not (_ @t199 @t402 @t243 @t401)) (_ @t199 (_ @t210 @t30 @t403 @t402) @t243 @t401)))))) % 204.39/204.61 (step @p360 :rule aci_norm :args ((= (or (or @t184 @t404) @t182) @t405))) % 204.39/204.61 (step @p361 :rule refl :args (@t182)) % 204.39/204.61 (step @p362 :rule refl :args (@t404)) % 204.39/204.61 (step @p363 :rule bool-double-not-elim :args (@t184)) % 204.39/204.61 (step @p364 :rule nary_cong :premises (@p363 @p362) :args ((or (not @t185) @t404))) % 204.39/204.61 (step @p365 :rule bool-and-de-morgan :args (@t185 @t183 true)) % 204.39/204.61 (step @p366 :rule trans :premises (@p365 @p364)) % 204.39/204.61 (step @p367 :rule nary_cong :premises (@p366 @p361) :args ((or (not @t186) @t182))) % 204.39/204.61 (step @p368 :rule trans :premises (@p367 @p360)) % 204.39/204.61 (step @p369 :rule bool-impl-elim :args (@t186 @t182)) % 204.39/204.61 (step @p370 :rule trans :premises (@p369 @p368)) % 204.39/204.61 (step @p371 :rule cong :premises (@p370) :args (@t187)) % 204.39/204.61 (step @p372 :rule trans :premises (@p371 @p359)) % 204.39/204.61 (step @p373 :rule eq_resolve :premises (@p58 @p372)) % 204.39/204.61 (step @p374 :rule instantiate :premises (@p373) :args ((@list @t314 @t313 @t250 @t320))) % 204.39/204.61 (step @p375 :rule bool-double-not-elim :args (@t322)) % 204.39/204.61 (step @p376 :rule nary_cong :premises (@p248 @p375) :args ((or @t331 (not @t323)))) % 204.39/204.61 (step @p377 :rule cnf_or_neg :args (@t331 2)) % 204.39/204.61 (step @p378 :rule eq_resolve :premises (@p377 @p376)) % 204.39/204.61 (step @p379 :rule reordering :premises (@p378) :args ((or @t322 @t331))) % 204.39/204.61 (step @p380 :rule chain_m_resolution :premises (@p379 @p246) :args (@t322 @t292 @t336)) % 204.39/204.61 (step @p381 :rule cnf_and_pos :args (@t385 1)) % 204.39/204.61 (step @p382 :rule reordering :premises (@p381) :args ((or @t383 @t388))) % 204.39/204.61 (step @p383 :rule chain_m_resolution :premises (@p382 @p328) :args (@t383 @t275 @t389)) % 204.39/204.61 (assume-push @p538 @t322) % 204.39/204.61 (assume-push @p539 @t383) % 204.39/204.61 (assume-push @p540 @t322) % 204.39/204.61 (assume-push @p541 @t383) % 204.39/204.61 (step @p388 :rule true_intro :premises (@p538)) % 204.39/204.61 (step @p389 :rule refl :args (@t320)) % 204.39/204.61 (step @p390 :rule refl :args (@t250)) % 204.39/204.61 (step @p391 :rule cong :premises (@p390 @p539 @p389) :args (@t406)) % 204.39/204.61 (step @p392 :rule trans :premises (@p391 @p388)) % 204.39/204.61 (step @p393 :rule true_elim :premises (@p392)) % 204.39/204.61 (step-pop @p542 :rule scope :premises (@p393)) % 204.39/204.61 (step-pop @p543 :rule scope :premises (@p542)) % 204.39/204.61 (step @p394 :rule process_scope :premises (@p543) :args (@t406)) % 204.39/204.61 (step @p397 :rule and_intro :premises (@p538 @p539)) % 204.39/204.61 (step @p398 :rule modus_ponens :premises (@p397 @p394)) % 204.39/204.61 (step-pop @p544 :rule scope :premises (@p398)) % 204.39/204.61 (step-pop @p545 :rule scope :premises (@p544)) % 204.39/204.61 (step @p399 :rule process_scope :premises (@p545) :args (@t406)) % 204.39/204.61 (step @p402 :rule implies_elim :premises (@p399)) % 204.39/204.61 (step @p403 :rule cnf_and_neg :args (@t407)) % 204.39/204.61 (step @p404 :rule resolution :premises (@p403 @p402) :args (true @t407)) % 204.39/204.61 (step @p405 :rule chain_m_resolution :premises (@p404 @p383 @p380) :args (@t406 @t387 (@list @t383 @t322))) % 204.39/204.61 ; trust TRUST PREPROCESS_SORT_INFER % 204.39/204.61 (step @p406 :rule trust :premises () :args ((= (and (forall (@list @t417 @t413 @t416) (or (and (not (tptp.visFreeVar @t413 @t417)) (not (tptp.visFreeVar @t413 @t416))) (tptp.visFreeVar @t413 (tptp.vapp @t417 @t416)))) (forall (@list @t415 @t409 @t414) (or (not (tptp.visFreeVar @t409 (tptp.vapp @t415 @t414))) (tptp.visFreeVar @t409 @t415) (tptp.visFreeVar @t409 @t414)))) (and (forall (@list @t412 @t413 @t411) (or (and (not (_ @t248 @t413 @t412)) (not (_ @t248 @t413 @t411))) (_ @t248 @t413 (_ @t203 @t412 @t411)))) (forall (@list @t410 @t409 @t408) (or (not (_ @t248 @t409 (_ @t203 @t410 @t408))) (_ @t248 @t409 @t410) (_ @t248 @t409 @t408))))))) % 204.39/204.61 (step @p407 :rule alpha_equiv :args (@t421 @t422 (@list @t415 @t409 @t414))) % 204.39/204.61 (step @p408 :rule alpha_equiv :args (@t425 @t422 (@list @t417 @t413 @t416))) % 204.39/204.61 (step @p409 :rule nary_cong :premises (@p408 @p407) :args (@t426)) % 204.39/204.61 (step @p410 :rule quant-miniscope-and :args ((= (forall @t420 @t427) @t426))) % 204.39/204.61 (step @p411 :rule trans :premises (@p410 @p409)) % 204.39/204.61 (step @p412 :rule aci_norm :args ((= (or false @t427) @t427))) % 204.39/204.61 (step @p413 :rule refl :args (@t427)) % 204.39/204.61 (step @p414 :rule eq-refl :args (@t38)) % 204.39/204.61 (step @p415 :rule cong :premises (@p414) :args (@t428)) % 204.39/204.61 (step @p416 :rule trans :premises (@p415 @p259)) % 204.39/204.61 (step @p417 :rule nary_cong :premises (@p416 @p413) :args (@t429)) % 204.39/204.61 (step @p418 :rule trans :premises (@p417 @p412)) % 204.39/204.61 (step @p419 :rule cong :premises (@p418) :args ((forall @t420 @t429))) % 204.39/204.61 (step @p420 :rule trans :premises (@p419 @p411)) % 204.39/204.61 (step @p421 :rule quant-var-elim-eq :args ((= (forall @t112 @t433) @t429))) % 204.39/204.61 (step @p422 :rule aci_norm :args ((= @t434 @t433))) % 204.39/204.61 (step @p423 :rule cong :premises (@p422) :args (@t435)) % 204.39/204.61 (step @p424 :rule trans :premises (@p423 @p421)) % 204.39/204.61 (step @p425 :rule cong :premises (@p424) :args (@t436)) % 204.39/204.61 (step @p426 :rule quant-merge-prenex :args ((= @t436 @t437))) % 204.39/204.61 (step @p427 :rule symm :premises (@p426)) % 204.39/204.61 (step @p428 :rule quant_var_reordering :args ((= (forall @t438 @t434) @t437))) % 204.39/204.61 (step @p429 :rule trans :premises (@p428 @p427 @p425)) % 204.39/204.61 (step @p430 :rule trans :premises (@p429 @p420)) % 204.39/204.61 (step @p431 :rule aci_norm :args ((= (or false @t432 @t431) @t434))) % 204.39/204.61 (step @p432 :rule refl :args (@t431)) % 204.39/204.61 (step @p433 :rule refl :args (@t432)) % 204.39/204.61 (step @p434 :rule eq-refl :args (@t40)) % 204.39/204.61 (step @p435 :rule cong :premises (@p434) :args (@t439)) % 204.39/204.61 (step @p436 :rule trans :premises (@p435 @p259)) % 204.39/204.61 (step @p437 :rule nary_cong :premises (@p436 @p433 @p432) :args (@t440)) % 204.39/204.61 (step @p438 :rule trans :premises (@p437 @p431)) % 204.39/204.61 (step @p439 :rule cong :premises (@p438) :args ((forall @t438 @t440))) % 204.39/204.61 (step @p440 :rule trans :premises (@p439 @p430)) % 204.39/204.61 (step @p441 :rule quant-var-elim-eq :args ((= (forall @t446 @t445) @t440))) % 204.39/204.61 (step @p442 :rule aci_norm :args ((= @t447 @t445))) % 204.39/204.61 (step @p443 :rule cong :premises (@p442) :args (@t448)) % 204.39/204.61 (step @p444 :rule trans :premises (@p443 @p441)) % 204.39/204.61 (step @p445 :rule cong :premises (@p444) :args (@t449)) % 204.39/204.61 (step @p446 :rule quant-merge-prenex :args ((= @t449 @t450))) % 204.39/204.61 (step @p447 :rule symm :premises (@p446)) % 204.39/204.61 (step @p448 :rule quant_var_reordering :args ((= (forall @t52 @t447) @t450))) % 204.39/204.61 (step @p449 :rule trans :premises (@p448 @p447 @p445)) % 204.39/204.61 (step @p450 :rule trans :premises (@p449 @p440)) % 204.39/204.61 (step @p451 :rule aci_norm :args ((= (or (or @t444 @t432) @t443) @t447))) % 204.39/204.61 (step @p452 :rule aci_norm :args ((= (or @t441 @t49) @t442))) % 204.39/204.61 (step @p453 :rule bool-impl-elim :args (@t42 @t49)) % 204.39/204.61 (step @p454 :rule trans :premises (@p453 @p452)) % 204.39/204.61 (step @p455 :rule refl :args (@t42)) % 204.39/204.61 (step @p456 :rule bool-or-de-morgan :args (@t48 @t47 false)) % 204.39/204.61 (step @p457 :rule nary_cong :premises (@p456 @p455) :args ((or (not @t49) @t42))) % 204.39/204.61 (step @p458 :rule bool-impl-elim :args (@t49 @t42)) % 204.39/204.61 (step @p459 :rule trans :premises (@p458 @p457)) % 204.39/204.61 (step @p460 :rule nary_cong :premises (@p459 @p454) :args (@t50)) % 204.39/204.61 (step @p461 :rule bool-and-de-morgan :args (@t43 @t39 true)) % 204.39/204.61 (step @p462 :rule nary_cong :premises (@p461 @p460) :args ((or (not @t51) @t50))) % 204.39/204.61 (step @p463 :rule trans :premises (@p462 @p451)) % 204.39/204.61 (step @p464 :rule bool-impl-elim :args (@t51 @t50)) % 204.39/204.61 (step @p465 :rule trans :premises (@p464 @p463)) % 204.39/204.61 (step @p466 :rule cong :premises (@p465) :args (@t53)) % 204.39/204.61 (step @p467 :rule trans :premises (@p466 @p450)) % 204.39/204.61 (step @p468 :rule trans :premises (@p467 @p406)) % 204.39/204.61 (step @p469 :rule eq_resolve :premises (@p12 @p468)) % 204.39/204.61 (step @p470 :rule and_elim :premises (@p469) :args (0)) % 204.39/204.61 (step @p471 :rule instantiate :premises (@p470) :args ((@list @t244 @t314 @t243))) % 204.39/204.61 (step @p472 :rule cnf_or_neg :args (@t318 0)) % 204.39/204.61 (step @p473 :rule chain_m_resolution :premises (@p472 @p217) :args ((not @t317) @t292 @t319)) % 204.39/204.61 (step @p474 :rule cnf_or_pos :args (@t456)) % 204.39/204.61 (step @p475 :rule reordering :premises (@p474) :args ((or @t317 @t455 (not @t456)))) % 204.39/204.61 (step @p476 :rule chain_m_resolution :premises (@p475 @p473 @p471) :args (@t455 (@list true false) (@list @t317 @t456))) % 204.39/204.61 (step @p477 :rule cnf_and_pos :args (@t455 1)) % 204.39/204.61 (step @p478 :rule reordering :premises (@p477) :args ((or @t452 @t457))) % 204.39/204.61 (step @p479 :rule chain_m_resolution :premises (@p478 @p476) :args (@t452 @t275 @t458)) % 204.39/204.61 (step @p480 :rule cnf_or_pos :args (@t461)) % 204.39/204.61 (step @p481 :rule reordering :premises (@p480) :args ((or @t451 @t460 @t459 (not @t461)))) % 204.39/204.61 (step @p482 :rule chain_m_resolution :premises (@p481 @p479 @p405 @p374) :args (@t459 @t462 (@list @t451 @t406 @t461))) % 204.39/204.61 (step @p483 :rule cnf_or_neg :args (@t318 2)) % 204.39/204.61 (step @p484 :rule chain_m_resolution :premises (@p483 @p217) :args ((not @t316) @t292 @t319)) % 204.39/204.61 (step @p485 :rule cnf_or_pos :args (@t466)) % 204.39/204.61 (step @p486 :rule reordering :premises (@p485) :args ((or @t316 @t463 @t465 (not @t466)))) % 204.39/204.61 (step @p487 :rule chain_m_resolution :premises (@p486 @p484 @p482 @p358) :args (@t465 @t462 (@list @t316 @t459 @t466))) % 204.39/204.61 (step @p488 :rule cnf_and_pos :args (@t455 0)) % 204.39/204.61 (step @p489 :rule reordering :premises (@p488) :args ((or @t454 @t457))) % 204.39/204.61 (step @p490 :rule chain_m_resolution :premises (@p489 @p476) :args (@t454 @t275 @t458)) % 204.39/204.61 (step @p491 :rule cnf_or_pos :args (@t469)) % 204.39/204.61 (step @p492 :rule reordering :premises (@p491) :args ((or @t453 @t464 @t468 (not @t469)))) % 204.39/204.61 (step @p493 :rule chain_m_resolution :premises (@p492 @p490 @p487 @p347) :args (@t468 (@list true true false) (@list @t453 @t464 @t469))) % 204.39/204.61 (step @p494 :rule bool-double-not-elim :args (@t467)) % 204.39/204.61 (step @p495 :rule refl :args (@t470)) % 204.39/204.61 (step @p496 :rule nary_cong :premises (@p232 @p495 @p494) :args ((or @t327 @t470 (not @t468)))) % 204.39/204.61 (assume-push @p546 @t468) % 204.39/204.61 (assume-push @p547 @t384) % 204.39/204.61 (assume-push @p548 @t326) % 204.39/204.61 (step @p500 :rule evaluate :args ((= true false))) % 204.39/204.61 (step @p501 :rule false_intro :premises (@p546)) % 204.39/204.61 (step @p502 :rule refl :args (@t324)) % 204.39/204.61 (step @p503 :rule symm :premises (@p547)) % 204.39/204.61 (step @p390 :rule refl :args (@t250)) % 204.39/204.61 (step @p504 :rule cong :premises (@p390 @p503 @p502) :args (@t326)) % 204.39/204.61 (step @p505 :rule true_intro :premises (@p548)) % 204.39/204.61 (step @p506 :rule symm :premises (@p505)) % 204.39/204.61 (step @p507 :rule trans :premises (@p506 @p504 @p501)) % 204.39/204.61 (step @p508 false :rule eq_resolve :premises (@p507 @p500)) % 204.39/204.61 (step-pop @p549 :rule scope :premises (@p508)) % 204.39/204.61 (step-pop @p550 :rule scope :premises (@p549)) % 204.39/204.61 (step-pop @p551 :rule scope :premises (@p550)) % 204.39/204.61 (step @p509 :rule process_scope :premises (@p551) :args (false)) % 204.39/204.61 (assume-push @p552 @t326) % 204.39/204.61 (assume-push @p553 @t384) % 204.39/204.61 (assume-push @p554 @t468) % 204.39/204.61 (step @p516 :rule and_intro :premises (@p554 @p553 @p552)) % 204.39/204.61 (step-pop @p555 :rule scope :premises (@p516)) % 204.39/204.61 (step-pop @p556 :rule scope :premises (@p555)) % 204.39/204.61 (step-pop @p557 :rule scope :premises (@p556)) % 204.39/204.61 (step @p517 :rule process_scope :premises (@p557) :args (@t471)) % 204.39/204.61 (step @p521 :rule implies_elim :premises (@p517)) % 204.39/204.61 (step @p522 :rule resolution :premises (@p521 @p509) :args (true @t471)) % 204.39/204.61 (step @p523 :rule not_and :premises (@p522)) % 204.39/204.61 (step @p524 :rule eq_resolve :premises (@p523 @p496)) % 204.39/204.61 (step @p525 false :rule chain_m_resolution :premises (@p524 @p493 @p331 @p253) :args (false @t462 (@list @t467 @t384 @t326))) % 204.39/204.61 ) % 204.39/204.61 % SZS output end Proof % 204.39/204.61 % cvc5 exiting %------------------------------------------------------------------------------