%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM478+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n008.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 08:39:33 AM UTC 2026 % Result : Theorem 234.13s 234.32s % Output : Proof 234.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM478+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n008.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 11:22:48 EDT 2026 % 0.16/0.35 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 234.13/234.32 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 234.13/234.32 --- Run --no-e-matching --full-saturate-quant at 6... % 234.13/234.32 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 234.13/234.32 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 234.13/234.32 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 234.13/234.32 --- Run --trigger-sel=max --full-saturate-quant at 15... % 234.13/234.32 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 234.13/234.32 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 234.13/234.32 --- Run --prenex-quant=none --full-saturate-quant at 30... % 234.13/234.32 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 234.13/234.32 --- Run --relevant-triggers --full-saturate-quant at 30... % 234.13/234.32 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 234.13/234.32 --- Run --pre-skolem-quant=on --full-saturate-quant at 15... % 234.13/234.32 --- Run --cbqi-vo-exp --full-saturate-quant at 36... % 234.13/234.32 % SZS status Theorem % 234.13/234.32 % SZS output start Proof % 234.13/234.32 ( % 234.13/234.32 (declare-sort $$unsorted 0) % 234.13/234.32 (declare-const tptp.xn $$unsorted) % 234.13/234.32 (declare-const tptp.xl $$unsorted) % 234.13/234.32 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 234.13/234.32 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 234.13/234.32 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 234.13/234.32 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 234.13/234.32 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 234.13/234.32 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 234.13/234.32 (declare-const tptp.sz10 $$unsorted) % 234.13/234.32 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 234.13/234.32 (declare-const tptp.sz00 $$unsorted) % 234.13/234.32 (declare-const tptp.xm $$unsorted) % 234.13/234.32 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 234.13/234.32 (define @t1 () (@var "W0" $$unsorted)) % 234.13/234.32 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 234.13/234.32 (define @t3 () (@list @t1)) % 234.13/234.32 (define @t4 () (@var "W1" $$unsorted)) % 234.13/234.32 (define @t5 () (tptp.sdtpldt0 @t1 @t4)) % 234.13/234.32 (define @t6 () (tptp.aNaturalNumber0 @t4)) % 234.13/234.32 (define @t7 () (and @t2 @t6)) % 234.13/234.32 (define @t8 () (@list @t1 @t4)) % 234.13/234.32 (define @t9 () (tptp.sdtasdt0 @t1 @t4)) % 234.13/234.32 (define @t10 () (tptp.aNaturalNumber0 @t9)) % 234.13/234.32 (define @t11 () (forall @t8 (=> @t7 @t10))) % 234.13/234.32 (define @t12 () (tptp.sdtpldt0 @t4 @t1)) % 234.13/234.32 (define @t13 () (@var "W2" $$unsorted)) % 234.13/234.32 (define @t14 () (tptp.sdtpldt0 @t4 @t13)) % 234.13/234.32 (define @t15 () (tptp.aNaturalNumber0 @t13)) % 234.13/234.32 (define @t16 () (and @t2 @t6 @t15)) % 234.13/234.32 (define @t17 () (@list @t1 @t4 @t13)) % 234.13/234.32 (define @t18 () (tptp.sdtasdt0 @t4 @t1)) % 234.13/234.32 (define @t19 () (= @t9 @t18)) % 234.13/234.32 (define @t20 () (forall @t8 (=> @t7 @t19))) % 234.13/234.32 (define @t21 () (= (tptp.sdtasdt0 @t9 @t13) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t4 @t13)))) % 234.13/234.32 (define @t22 () (forall @t17 (=> @t16 @t21))) % 234.13/234.32 (define @t23 () (tptp.sdtasdt0 @t13 @t1)) % 234.13/234.32 (define @t24 () (tptp.sdtasdt0 @t1 @t13)) % 234.13/234.32 (define @t25 () (= @t4 @t13)) % 234.13/234.32 (define @t26 () (tptp.sdtpldt0 @t13 @t1)) % 234.13/234.32 (define @t27 () (tptp.sdtpldt0 @t1 @t13)) % 234.13/234.32 (define @t28 () (= @t18 @t23)) % 234.13/234.32 (define @t29 () (= @t9 @t24)) % 234.13/234.32 (define @t30 () (or @t29 @t28)) % 234.13/234.32 (define @t31 () (=> @t30 @t25)) % 234.13/234.32 (define @t32 () (and @t6 @t15)) % 234.13/234.32 (define @t33 () (@list @t4 @t13)) % 234.13/234.32 (define @t34 () (forall @t33 (=> @t32 @t31))) % 234.13/234.32 (define @t35 () (= @t1 tptp.sz00)) % 234.13/234.32 (define @t36 () (not @t35)) % 234.13/234.32 (define @t37 () (=> @t36 @t34)) % 234.13/234.32 (define @t38 () (=> @t2 @t37)) % 234.13/234.32 (define @t39 () (forall @t3 @t38)) % 234.13/234.32 (define @t40 () (= @t4 tptp.sz00)) % 234.13/234.32 (define @t41 () (and @t15 (= @t27 @t4))) % 234.13/234.32 (define @t42 () (@list @t13)) % 234.13/234.32 (define @t43 () (tptp.sdtlseqdt0 @t1 @t4)) % 234.13/234.32 (define @t44 () (= @t1 @t4)) % 234.13/234.32 (define @t45 () (tptp.sdtlseqdt0 @t4 @t1)) % 234.13/234.32 (define @t46 () (tptp.sdtlseqdt0 @t4 @t13)) % 234.13/234.32 (define @t47 () (tptp.sdtpldt0 @t13 @t4)) % 234.13/234.32 (define @t48 () (and (not @t44) @t43)) % 234.13/234.32 (define @t49 () (not @t28)) % 234.13/234.32 (define @t50 () (not @t29)) % 234.13/234.32 (define @t51 () (tptp.iLess0 @t1 @t4)) % 234.13/234.32 (define @t52 () (= @t4 @t24)) % 234.13/234.32 (define @t53 () (and @t15 @t52)) % 234.13/234.32 (define @t54 () (exists @t42 @t53)) % 234.13/234.32 (define @t55 () (tptp.doDivides0 @t1 @t4)) % 234.13/234.32 (define @t56 () (= @t55 @t54)) % 234.13/234.32 (define @t57 () (=> @t7 @t56)) % 234.13/234.32 (define @t58 () (forall @t8 @t57)) % 234.13/234.32 (define @t59 () (tptp.sdtsldt0 @t4 @t1)) % 234.13/234.32 (define @t60 () (= @t13 @t59)) % 234.13/234.32 (define @t61 () (forall @t42 (= @t60 @t53))) % 234.13/234.32 (define @t62 () (and @t36 @t55)) % 234.13/234.32 (define @t63 () (=> @t62 @t61)) % 234.13/234.32 (define @t64 () (=> @t7 @t63)) % 234.13/234.32 (define @t65 () (forall @t8 @t64)) % 234.13/234.32 (define @t66 () (tptp.doDivides0 @t1 @t13)) % 234.13/234.32 (define @t67 () (tptp.doDivides0 @t1 @t14)) % 234.13/234.32 (define @t68 () (tptp.aNaturalNumber0 tptp.xm)) % 234.13/234.32 (define @t69 () (tptp.aNaturalNumber0 tptp.xl)) % 234.13/234.32 (define @t70 () (tptp.doDivides0 tptp.xl tptp.xm)) % 234.13/234.32 (define @t71 () (= tptp.xl tptp.sz00)) % 234.13/234.32 (define @t72 () (tptp.aNaturalNumber0 tptp.xn)) % 234.13/234.32 (define @t73 () (tptp.sdtasdt0 tptp.xn tptp.xm)) % 234.13/234.32 (define @t74 () (tptp.sdtsldt0 tptp.xm tptp.xl)) % 234.13/234.32 (define @t75 () (tptp.sdtasdt0 tptp.xn @t74)) % 234.13/234.32 (define @t76 () (not @t6)) % 234.13/234.32 (define @t77 () (not @t2)) % 234.13/234.32 (define @t78 () (or @t77 @t76)) % 234.13/234.32 (define @t79 () (not @t7)) % 234.13/234.32 (define @t80 () (tptp.aNaturalNumber0 @t73)) % 234.13/234.32 (define @t81 () (not @t68)) % 234.13/234.32 (define @t82 () (not @t72)) % 234.13/234.32 (define @t83 () (or @t82 @t81 @t80)) % 234.13/234.32 (define @t84 () (@list false false false)) % 234.13/234.32 (define @t85 () (not @t15)) % 234.13/234.32 (define @t86 () (= @t55 (not (forall @t42 (or @t85 (not @t52)))))) % 234.13/234.32 (define @t87 () (forall @t42 (not @t53))) % 234.13/234.32 (define @t88 () (not @t87)) % 234.13/234.32 (define @t89 () (tptp.sdtasdt0 tptp.xl @t13)) % 234.13/234.32 (define @t90 () (forall @t42 (or @t85 (not (= tptp.xm @t89))))) % 234.13/234.32 (define @t91 () (not @t90)) % 234.13/234.32 (define @t92 () (= @t70 @t91)) % 234.13/234.32 (define @t93 () (not @t69)) % 234.13/234.32 (define @t94 () (or @t93 @t81 @t92)) % 234.13/234.32 (define @t95 () (not @t70)) % 234.13/234.32 (define @t96 () (@list false false)) % 234.13/234.32 (define @t97 () (@quantifiers_skolemize @t90 0)) % 234.13/234.32 (define @t98 () (tptp.sdtasdt0 tptp.xl @t97)) % 234.13/234.32 (define @t99 () (= tptp.xm @t98)) % 234.13/234.32 (define @t100 () (not @t99)) % 234.13/234.32 (define @t101 () (tptp.aNaturalNumber0 @t97)) % 234.13/234.32 (define @t102 () (not @t101)) % 234.13/234.32 (define @t103 () (or @t102 @t100)) % 234.13/234.32 (define @t104 () (@list true)) % 234.13/234.32 (define @t105 () (@list @t103)) % 234.13/234.32 (define @t106 () (tptp.sdtasdt0 @t97 tptp.xl)) % 234.13/234.32 (define @t107 () (= @t98 @t106)) % 234.13/234.32 (define @t108 () (or @t93 @t102 @t107)) % 234.13/234.32 (define @t109 () (tptp.sdtasdt0 tptp.xn @t106)) % 234.13/234.32 (define @t110 () (or @t77 @t76 @t85)) % 234.13/234.32 (define @t111 () (or @t76 @t85)) % 234.13/234.32 (define @t112 () (not @t32)) % 234.13/234.32 (define @t113 () (tptp.sdtasdt0 tptp.xn @t97)) % 234.13/234.32 (define @t114 () (tptp.sdtasdt0 @t113 tptp.xl)) % 234.13/234.32 (define @t115 () (= @t114 @t109)) % 234.13/234.32 (define @t116 () (or @t82 @t102 @t93 @t115)) % 234.13/234.32 (define @t117 () (@var "BOUND_VARIABLE_7940" $$unsorted)) % 234.13/234.32 (define @t118 () (and (tptp.aNaturalNumber0 @t117) (= @t4 (tptp.sdtasdt0 @t1 @t117)))) % 234.13/234.32 (define @t119 () (= @t118 (= @t117 @t59))) % 234.13/234.32 (define @t120 () (not @t55)) % 234.13/234.32 (define @t121 () (or @t77 @t76 @t35 @t120 @t119)) % 234.13/234.32 (define @t122 () (@list @t1 @t4 @t117)) % 234.13/234.32 (define @t123 () (forall @t122 @t121)) % 234.13/234.32 (define @t124 () (@list @t117)) % 234.13/234.32 (define @t125 () (forall @t124 @t121)) % 234.13/234.32 (define @t126 () (forall @t124 @t119)) % 234.13/234.32 (define @t127 () (or @t77 @t76 @t35 @t120 @t126)) % 234.13/234.32 (define @t128 () (forall @t42 (= @t53 @t60))) % 234.13/234.32 (define @t129 () (or @t77 @t76 @t35 @t120 @t128)) % 234.13/234.32 (define @t130 () (or @t35 @t120 @t128)) % 234.13/234.32 (define @t131 () (not @t36)) % 234.13/234.32 (define @t132 () (=> @t62 @t128)) % 234.13/234.32 (define @t133 () (tptp.sdtasdt0 tptp.xl @t74)) % 234.13/234.32 (define @t134 () (= tptp.xm @t133)) % 234.13/234.32 (define @t135 () (tptp.aNaturalNumber0 @t74)) % 234.13/234.32 (define @t136 () (and @t135 @t134)) % 234.13/234.32 (define @t137 () (= @t136 (= @t74 @t74))) % 234.13/234.32 (define @t138 () (or @t93 @t81 @t71 @t95 @t137)) % 234.13/234.32 (define @t139 () (forall @t122 (or @t77 @t76 @t35 @t120 (= @t118 (= @t59 @t117))))) % 234.13/234.32 (define @t140 () (= tptp.sz00 tptp.xl)) % 234.13/234.32 (define @t141 () (or @t93 @t81 @t140 @t95 @t136)) % 234.13/234.32 (define @t142 () (@list false)) % 234.13/234.32 (define @t143 () (@list @t139)) % 234.13/234.32 (define @t144 () (not @t136)) % 234.13/234.32 (define @t145 () (@list @t136)) % 234.13/234.32 (define @t146 () (tptp.aNaturalNumber0 @t75)) % 234.13/234.32 (define @t147 () (not @t135)) % 234.13/234.32 (define @t148 () (or @t82 @t147 @t146)) % 234.13/234.32 (define @t149 () (@var "BOUND_VARIABLE_7742" $$unsorted)) % 234.13/234.32 (define @t150 () (@var "BOUND_VARIABLE_7740" $$unsorted)) % 234.13/234.32 (define @t151 () (= @t150 @t149)) % 234.13/234.32 (define @t152 () (and (not (= (tptp.sdtasdt0 @t1 @t150) (tptp.sdtasdt0 @t1 @t149))) (not (= (tptp.sdtasdt0 @t150 @t1) (tptp.sdtasdt0 @t149 @t1))))) % 234.13/234.32 (define @t153 () (not (tptp.aNaturalNumber0 @t149))) % 234.13/234.32 (define @t154 () (not (tptp.aNaturalNumber0 @t150))) % 234.13/234.32 (define @t155 () (or @t77 @t35 @t154 @t153 @t152 @t151)) % 234.13/234.32 (define @t156 () (or @t154 @t153 @t152 @t151)) % 234.13/234.32 (define @t157 () (or @t77 @t35 @t156)) % 234.13/234.32 (define @t158 () (@list @t1 @t150 @t149)) % 234.13/234.32 (define @t159 () (forall @t158 @t157)) % 234.13/234.32 (define @t160 () (@list @t150 @t149)) % 234.13/234.32 (define @t161 () (forall @t160 @t157)) % 234.13/234.32 (define @t162 () (forall @t160 @t156)) % 234.13/234.32 (define @t163 () (or @t77 @t35 @t162)) % 234.13/234.32 (define @t164 () (and @t50 @t49)) % 234.13/234.32 (define @t165 () (or @t76 @t85 @t164 @t25)) % 234.13/234.32 (define @t166 () (forall @t33 @t165)) % 234.13/234.32 (define @t167 () (or @t77 @t35 @t166)) % 234.13/234.32 (define @t168 () (=> @t36 @t166)) % 234.13/234.32 (define @t169 () (= @t74 @t97)) % 234.13/234.32 (define @t170 () (not (= (tptp.sdtasdt0 @t74 tptp.xl) @t106))) % 234.13/234.32 (define @t171 () (not (= @t133 @t98))) % 234.13/234.32 (define @t172 () (and @t171 @t170)) % 234.13/234.32 (define @t173 () (or @t93 @t71 @t147 @t102 @t172 @t169)) % 234.13/234.32 (define @t174 () (forall @t158 @t155)) % 234.13/234.32 (define @t175 () (= @t98 @t133)) % 234.13/234.32 (define @t176 () (not @t175)) % 234.13/234.32 (define @t177 () (and @t176 @t170)) % 234.13/234.32 (define @t178 () (or @t93 @t140 @t147 @t102 @t177 @t169)) % 234.13/234.32 (define @t179 () (not @t177)) % 234.13/234.32 (define @t180 () (@list true false false false true false)) % 234.13/234.32 (define @t181 () (tptp.aNaturalNumber0 @t113)) % 234.13/234.32 (define @t182 () (tptp.sdtasdt0 tptp.xl @t113)) % 234.13/234.32 (define @t183 () (= @t114 @t182)) % 234.13/234.32 (define @t184 () (not @t181)) % 234.13/234.32 (define @t185 () (or @t184 @t93 @t183)) % 234.13/234.32 (define @t186 () (tptp.sdtasdt0 tptp.xl @t75)) % 234.13/234.32 (define @t187 () (tptp.aNaturalNumber0 @t186)) % 234.13/234.32 (define @t188 () (tptp.sdtsldt0 @t186 tptp.xl)) % 234.13/234.32 (define @t189 () (and @t146 (= @t186 @t186))) % 234.13/234.32 (define @t190 () (= @t189 (= @t188 @t75))) % 234.13/234.32 (define @t191 () (tptp.doDivides0 tptp.xl @t186)) % 234.13/234.32 (define @t192 () (not @t191)) % 234.13/234.32 (define @t193 () (not @t187)) % 234.13/234.32 (define @t194 () (or @t93 @t193 @t71 @t192 @t190)) % 234.13/234.32 (define @t195 () (= @t75 @t188)) % 234.13/234.32 (define @t196 () (= @t146 @t195)) % 234.13/234.32 (define @t197 () (or @t93 @t193 @t140 @t192 @t196)) % 234.13/234.32 (define @t198 () (forall @t42 (or @t85 (not (= @t73 @t89))))) % 234.13/234.32 (define @t199 () (not @t198)) % 234.13/234.32 (define @t200 () (tptp.doDivides0 tptp.xl @t73)) % 234.13/234.32 (define @t201 () (= @t200 @t199)) % 234.13/234.32 (define @t202 () (not @t80)) % 234.13/234.32 (define @t203 () (or @t93 @t202 @t201)) % 234.13/234.32 (define @t204 () (= @t73 @t186)) % 234.13/234.32 (define @t205 () (not @t204)) % 234.13/234.32 (define @t206 () (not @t146)) % 234.13/234.32 (define @t207 () (or @t206 @t205)) % 234.13/234.32 (define @t208 () (not @t207)) % 234.13/234.32 (define @t209 () (not @t201)) % 234.13/234.32 (define @t210 () (and @t99 @t200 @t169 @t107 @t115 @t183)) % 234.13/234.32 (define @t211 () (not @t196)) % 234.13/234.32 (assume @p1 (forall @t3 (=> @t2 true))) % 234.13/234.32 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 234.13/234.32 (assume @p3 (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00)))) % 234.13/234.32 (assume @p4 (forall @t8 (=> @t7 (tptp.aNaturalNumber0 @t5)))) % 234.13/234.32 (assume @p5 @t11) % 234.13/234.32 (assume @p6 (forall @t8 (=> @t7 (= @t5 @t12)))) % 234.13/234.32 (assume @p7 (forall @t17 (=> @t16 (= (tptp.sdtpldt0 @t5 @t13) (tptp.sdtpldt0 @t1 @t14))))) % 234.13/234.32 (assume @p8 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 234.13/234.32 (assume @p9 @t20) % 234.13/234.32 (assume @p10 @t22) % 234.13/234.32 (assume @p11 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 234.13/234.32 (assume @p12 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 234.13/234.32 (assume @p13 (forall @t17 (=> @t16 (and (= (tptp.sdtasdt0 @t1 @t14) (tptp.sdtpldt0 @t9 @t24)) (= (tptp.sdtasdt0 @t14 @t1) (tptp.sdtpldt0 @t18 @t23)))))) % 234.13/234.32 (assume @p14 (forall @t17 (=> @t16 (=> (or (= @t5 @t27) (= @t12 @t26)) @t25)))) % 234.13/234.32 (assume @p15 @t39) % 234.13/234.32 (assume @p16 (forall @t8 (=> @t7 (=> (= @t5 tptp.sz00) (and @t35 @t40))))) % 234.13/234.32 (assume @p17 (forall @t8 (=> @t7 (=> (= @t9 tptp.sz00) (or @t35 @t40))))) % 234.13/234.32 (assume @p18 (forall @t8 (=> @t7 (= @t43 (exists @t42 @t41))))) % 234.13/234.32 (assume @p19 (forall @t8 (=> @t7 (=> @t43 (forall @t42 (= (= @t13 (tptp.sdtmndt0 @t4 @t1)) @t41)))))) % 234.13/234.32 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 234.13/234.32 (assume @p21 (forall @t8 (=> @t7 (=> (and @t43 @t45) @t44)))) % 234.13/234.32 (assume @p22 (forall @t17 (=> @t16 (=> (and @t43 @t46) (tptp.sdtlseqdt0 @t1 @t13))))) % 234.13/234.32 (assume @p23 (forall @t8 (=> @t7 (or @t43 (and (not (= @t4 @t1)) @t45))))) % 234.13/234.32 (assume @p24 (forall @t8 (=> @t7 (=> @t48 (forall @t42 (=> @t15 (and (not (= @t26 @t47)) (tptp.sdtlseqdt0 @t26 @t47) (not (= @t27 @t14)) (tptp.sdtlseqdt0 @t27 @t14)))))))) % 234.13/234.32 (assume @p25 (forall @t17 (=> @t16 (=> (and @t36 (not @t25) @t46) (and @t50 (tptp.sdtlseqdt0 @t9 @t24) @t49 (tptp.sdtlseqdt0 @t18 @t23)))))) % 234.13/234.32 (assume @p26 (forall @t3 (=> @t2 (or @t35 (= @t1 tptp.sz10) (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 234.13/234.32 (assume @p27 (forall @t8 (=> @t7 (=> @t36 (tptp.sdtlseqdt0 @t4 @t18))))) % 234.13/234.32 (assume @p28 (forall @t8 (=> @t7 (=> @t51 true)))) % 234.13/234.32 (assume @p29 (forall @t8 (=> @t7 (=> @t48 @t51)))) % 234.13/234.32 (assume @p30 @t58) % 234.13/234.32 (assume @p31 @t65) % 234.13/234.32 (assume @p32 (forall @t17 (=> @t16 (=> (and @t55 (tptp.doDivides0 @t4 @t13)) @t66)))) % 234.13/234.32 (assume @p33 (forall @t17 (=> @t16 (=> (and @t55 @t66) @t67)))) % 234.13/234.32 (assume @p34 (forall @t17 (=> @t16 (=> (and @t55 @t67) @t66)))) % 234.13/234.32 (assume @p35 (forall @t8 (=> @t7 (=> (and @t55 (not @t40)) @t43)))) % 234.13/234.32 (assume @p36 (and @t69 @t68)) % 234.13/234.32 (assume @p37 (and (not @t71) @t70)) % 234.13/234.32 (assume @p38 @t72) % 234.13/234.32 (assume @p39 (not (= @t75 (tptp.sdtsldt0 @t73 tptp.xl)))) % 234.13/234.32 (assume @p40 true) % 234.13/234.32 (step @p41 :rule and_elim :premises (@p36) :args (0)) % 234.13/234.32 (step @p42 :rule and_elim :premises (@p37) :args (0)) % 234.13/234.32 (step @p43 :rule symm :premises (@p42)) % 234.13/234.32 (step @p44 :rule aci_norm :args ((= (or @t78 @t10) (or @t77 @t76 @t10)))) % 234.13/234.32 (step @p45 :rule refl :args (@t10)) % 234.13/234.32 (step @p46 :rule bool-and-de-morgan :args (@t2 @t6 true)) % 234.13/234.32 (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or @t79 @t10))) % 234.13/234.32 (step @p48 :rule trans :premises (@p47 @p44)) % 234.13/234.32 (step @p49 :rule bool-impl-elim :args (@t7 @t10)) % 234.13/234.32 (step @p50 :rule trans :premises (@p49 @p48)) % 234.13/234.32 (step @p51 :rule cong :premises (@p50) :args (@t11)) % 234.13/234.32 (step @p52 :rule eq_resolve :premises (@p5 @p51)) % 234.13/234.32 (step @p53 :rule instantiate :premises (@p52) :args ((@list tptp.xn tptp.xm))) % 234.13/234.32 (step @p54 :rule and_elim :premises (@p36) :args (1)) % 234.13/234.32 (step @p55 :rule cnf_or_pos :args (@t83)) % 234.13/234.32 (step @p56 :rule reordering :premises (@p55) :args ((or @t81 @t82 @t80 (not @t83)))) % 234.13/234.32 (step @p57 :rule chain_m_resolution :premises (@p56 @p54 @p38 @p53) :args (@t80 @t84 (@list @t68 @t72 @t83))) % 234.13/234.32 (step @p58 :rule true_intro :premises (@p57)) % 234.13/234.32 (step @p59 :rule aci_norm :args ((= (or @t78 @t86) (or @t77 @t76 @t86)))) % 234.13/234.32 (step @p60 :rule refl :args (@t86)) % 234.13/234.32 (step @p61 :rule nary_cong :premises (@p46 @p60) :args ((or @t79 @t86))) % 234.13/234.32 (step @p62 :rule trans :premises (@p61 @p59)) % 234.13/234.32 (step @p63 :rule bool-impl-elim :args (@t7 @t86)) % 234.13/234.32 (step @p64 :rule trans :premises (@p63 @p62)) % 234.13/234.32 (step @p65 :rule cong :premises (@p64) :args ((forall @t8 (=> @t7 @t86)))) % 234.13/234.32 (step @p66 :rule bool-and-de-morgan :args (@t15 @t52 true)) % 234.13/234.32 (step @p67 :rule cong :premises (@p66) :args (@t87)) % 234.13/234.32 (step @p68 :rule cong :premises (@p67) :args (@t88)) % 234.13/234.32 (step @p69 :rule exists-elim :args ((= @t54 @t88))) % 234.13/234.32 (step @p70 :rule trans :premises (@p69 @p68)) % 234.13/234.32 (step @p71 :rule refl :args (@t55)) % 234.13/234.32 (step @p72 :rule cong :premises (@p71 @p70) :args (@t56)) % 234.13/234.32 (step @p73 :rule refl :args (@t7)) % 234.13/234.32 (step @p74 :rule cong :premises (@p73 @p72) :args (@t57)) % 234.13/234.32 (step @p75 :rule cong :premises (@p74) :args (@t58)) % 234.13/234.32 (step @p76 :rule trans :premises (@p75 @p65)) % 234.13/234.32 (step @p77 :rule eq_resolve :premises (@p30 @p76)) % 234.13/234.32 (step @p78 :rule instantiate :premises (@p77) :args ((@list tptp.xl tptp.xm))) % 234.13/234.32 (step @p79 :rule cnf_or_pos :args (@t94)) % 234.13/234.32 (step @p80 :rule reordering :premises (@p79) :args ((or @t93 @t81 @t92 (not @t94)))) % 234.13/234.32 (step @p81 :rule chain_m_resolution :premises (@p80 @p41 @p54 @p78) :args (@t92 @t84 (@list @t69 @t68 @t94))) % 234.13/234.32 (step @p82 :rule and_elim :premises (@p37) :args (1)) % 234.13/234.32 (step @p83 :rule cnf_equiv_pos1 :args (@t92)) % 234.13/234.32 (step @p84 :rule reordering :premises (@p83) :args ((or @t95 @t91 (not @t92)))) % 234.13/234.32 (step @p85 :rule chain_m_resolution :premises (@p84 @p82 @p81) :args (@t91 @t96 (@list @t70 @t92))) % 234.13/234.32 (step @p86 :rule skolemize :premises (@p85)) % 234.13/234.32 (step @p87 :rule bool-double-not-elim :args (@t99)) % 234.13/234.32 (step @p88 :rule refl :args (@t103)) % 234.13/234.32 (step @p89 :rule nary_cong :premises (@p88 @p87) :args ((or @t103 (not @t100)))) % 234.13/234.32 (step @p90 :rule cnf_or_neg :args (@t103 1)) % 234.13/234.32 (step @p91 :rule eq_resolve :premises (@p90 @p89)) % 234.13/234.32 (step @p92 :rule reordering :premises (@p91) :args ((or @t99 @t103))) % 234.13/234.32 (step @p93 :rule chain_m_resolution :premises (@p92 @p86) :args (@t99 @t104 @t105)) % 234.13/234.32 (step @p94 :rule symm :premises (@p93)) % 234.13/234.32 (step @p95 :rule aci_norm :args ((= (or @t78 @t19) (or @t77 @t76 @t19)))) % 234.13/234.32 (step @p96 :rule refl :args (@t19)) % 234.13/234.32 (step @p97 :rule nary_cong :premises (@p46 @p96) :args ((or @t79 @t19))) % 234.13/234.32 (step @p98 :rule trans :premises (@p97 @p95)) % 234.13/234.32 (step @p99 :rule bool-impl-elim :args (@t7 @t19)) % 234.13/234.32 (step @p100 :rule trans :premises (@p99 @p98)) % 234.13/234.32 (step @p101 :rule cong :premises (@p100) :args (@t20)) % 234.13/234.32 (step @p102 :rule eq_resolve :premises (@p9 @p101)) % 234.13/234.32 (step @p103 :rule instantiate :premises (@p102) :args ((@list tptp.xl @t97))) % 234.13/234.32 (step @p104 :rule bool-double-not-elim :args (@t101)) % 234.13/234.32 (step @p105 :rule nary_cong :premises (@p88 @p104) :args ((or @t103 (not @t102)))) % 234.13/234.32 (step @p106 :rule cnf_or_neg :args (@t103 0)) % 234.13/234.32 (step @p107 :rule eq_resolve :premises (@p106 @p105)) % 234.13/234.32 (step @p108 :rule reordering :premises (@p107) :args ((or @t101 @t103))) % 234.13/234.32 (step @p109 :rule chain_m_resolution :premises (@p108 @p86) :args (@t101 @t104 @t105)) % 234.13/234.32 (step @p110 :rule cnf_or_pos :args (@t108)) % 234.13/234.32 (step @p111 :rule reordering :premises (@p110) :args ((or @t93 @t102 @t107 (not @t108)))) % 234.13/234.32 (step @p112 :rule chain_m_resolution :premises (@p111 @p41 @p109 @p103) :args (@t107 @t84 (@list @t69 @t101 @t108))) % 234.13/234.32 (step @p113 :rule symm :premises (@p112)) % 234.13/234.32 (step @p114 :rule trans :premises (@p113 @p94)) % 234.13/234.32 (step @p115 :rule refl :args (tptp.xn)) % 234.13/234.32 (step @p116 :rule cong :premises (@p115 @p114) :args (@t109)) % 234.13/234.32 (step @p117 :rule aci_norm :args ((= (or @t110 @t21) (or @t77 @t76 @t85 @t21)))) % 234.13/234.32 (step @p118 :rule refl :args (@t21)) % 234.13/234.32 (step @p119 :rule aci_norm :args ((= (or @t77 @t111) @t110))) % 234.13/234.32 (step @p120 :rule bool-and-de-morgan :args (@t6 @t15 true)) % 234.13/234.32 (step @p121 :rule refl :args (@t77)) % 234.13/234.32 (step @p122 :rule nary_cong :premises (@p121 @p120) :args ((or @t77 @t112))) % 234.13/234.32 (step @p123 :rule bool-and-de-morgan :args (@t2 @t6 (and @t15))) % 234.13/234.32 (step @p124 :rule trans :premises (@p123 @p122)) % 234.13/234.32 (step @p125 :rule trans :premises (@p124 @p119)) % 234.13/234.32 (step @p126 :rule nary_cong :premises (@p125 @p118) :args ((or (not @t16) @t21))) % 234.13/234.32 (step @p127 :rule trans :premises (@p126 @p117)) % 234.13/234.32 (step @p128 :rule bool-impl-elim :args (@t16 @t21)) % 234.13/234.32 (step @p129 :rule trans :premises (@p128 @p127)) % 234.13/234.32 (step @p130 :rule cong :premises (@p129) :args (@t22)) % 234.13/234.32 (step @p131 :rule eq_resolve :premises (@p10 @p130)) % 234.13/234.32 (step @p132 :rule instantiate :premises (@p131) :args ((@list tptp.xn @t97 tptp.xl))) % 234.13/234.32 (step @p133 :rule cnf_or_pos :args (@t116)) % 234.13/234.32 (step @p134 :rule reordering :premises (@p133) :args ((or @t93 @t82 @t102 @t115 (not @t116)))) % 234.13/234.32 (step @p135 :rule chain_m_resolution :premises (@p134 @p41 @p38 @p109 @p132) :args (@t115 (@list false false false false) (@list @t69 @t72 @t101 @t116))) % 234.13/234.32 (step @p136 :rule instantiate :premises (@p102) :args ((@list @t113 tptp.xl))) % 234.13/234.32 (step @p137 :rule instantiate :premises (@p52) :args ((@list tptp.xn @t74))) % 234.13/234.32 (step @p138 :rule eq-symm :args (@t117 @t59)) % 234.13/234.32 (step @p139 :rule refl :args (@t118)) % 234.13/234.32 (step @p140 :rule cong :premises (@p139 @p138) :args (@t119)) % 234.13/234.32 (step @p141 :rule refl :args (@t120)) % 234.13/234.32 (step @p142 :rule refl :args (@t35)) % 234.13/234.32 (step @p143 :rule refl :args (@t76)) % 234.13/234.32 (step @p144 :rule refl :args (@t77)) % 234.13/234.32 (step @p145 :rule nary_cong :premises (@p144 @p143 @p142 @p141 @p140) :args (@t121)) % 234.13/234.32 (step @p146 :rule cong :premises (@p145) :args (@t123)) % 234.13/234.32 (step @p147 :rule quant-merge-prenex :args ((= (forall @t8 @t125) @t123))) % 234.13/234.32 (step @p148 :rule alpha_equiv :args (@t126 (@list @t117) (@list @t13))) % 234.13/234.32 (step @p149 :rule refl :args (@t120)) % 234.13/234.32 (step @p150 :rule refl :args (@t35)) % 234.13/234.32 (step @p151 :rule refl :args (@t76)) % 234.13/234.32 (step @p152 :rule nary_cong :premises (@p121 @p151 @p150 @p149 @p148) :args (@t127)) % 234.13/234.32 (step @p153 :rule quant-miniscope-or :args ((= @t125 @t127))) % 234.13/234.32 (step @p154 :rule trans :premises (@p153 @p152)) % 234.13/234.32 (step @p155 :rule symm :premises (@p154)) % 234.13/234.32 (step @p156 :rule cong :premises (@p155) :args ((forall @t8 @t129))) % 234.13/234.32 (step @p157 :rule trans :premises (@p156 @p147)) % 234.13/234.32 (step @p158 :rule trans :premises (@p157 @p146)) % 234.13/234.32 (step @p159 :rule aci_norm :args ((= (or @t78 @t130) @t129))) % 234.13/234.32 (step @p160 :rule aci_norm :args ((= (or (or @t35 @t120) @t128) @t130))) % 234.13/234.32 (step @p161 :rule refl :args (@t128)) % 234.13/234.32 (step @p162 :rule bool-double-not-elim :args (@t35)) % 234.13/234.32 (step @p163 :rule nary_cong :premises (@p162 @p149) :args ((or @t131 @t120))) % 234.13/234.32 (step @p164 :rule bool-and-de-morgan :args (@t36 @t55 true)) % 234.13/234.32 (step @p165 :rule trans :premises (@p164 @p163)) % 234.13/234.32 (step @p166 :rule nary_cong :premises (@p165 @p161) :args ((or (not @t62) @t128))) % 234.13/234.32 (step @p167 :rule trans :premises (@p166 @p160)) % 234.13/234.32 (step @p168 :rule bool-impl-elim :args (@t62 @t128)) % 234.13/234.32 (step @p169 :rule trans :premises (@p168 @p167)) % 234.13/234.32 (step @p170 :rule nary_cong :premises (@p46 @p169) :args ((or @t79 @t132))) % 234.13/234.32 (step @p171 :rule trans :premises (@p170 @p159)) % 234.13/234.32 (step @p172 :rule bool-impl-elim :args (@t7 @t132)) % 234.13/234.32 (step @p173 :rule trans :premises (@p172 @p171)) % 234.13/234.32 (step @p174 :rule cong :premises (@p173) :args ((forall @t8 (=> @t7 @t132)))) % 234.13/234.32 (step @p175 :rule trans :premises (@p174 @p158)) % 234.13/234.32 (step @p176 :rule eq-symm :args (@t60 @t53)) % 234.13/234.32 (step @p177 :rule cong :premises (@p176) :args (@t61)) % 234.13/234.32 (step @p178 :rule refl :args (@t62)) % 234.13/234.32 (step @p179 :rule cong :premises (@p178 @p177) :args (@t63)) % 234.13/234.32 (step @p180 :rule cong :premises (@p73 @p179) :args (@t64)) % 234.13/234.32 (step @p181 :rule cong :premises (@p180) :args (@t65)) % 234.13/234.32 (step @p182 :rule trans :premises (@p181 @p175)) % 234.13/234.32 (step @p183 :rule eq_resolve :premises (@p31 @p182)) % 234.13/234.32 (step @p184 :rule bool-eq-true :args (@t136)) % 234.13/234.32 (step @p185 :rule eq-refl :args (@t74)) % 234.13/234.32 (step @p186 :rule refl :args (@t136)) % 234.13/234.32 (step @p187 :rule cong :premises (@p186 @p185) :args (@t137)) % 234.13/234.32 (step @p188 :rule trans :premises (@p187 @p184)) % 234.13/234.32 (step @p189 :rule refl :args (@t95)) % 234.13/234.32 (step @p190 :rule eq-symm :args (tptp.xl tptp.sz00)) % 234.13/234.32 (step @p191 :rule refl :args (@t81)) % 234.13/234.32 (step @p192 :rule refl :args (@t93)) % 234.13/234.32 (step @p193 :rule nary_cong :premises (@p192 @p191 @p190 @p189 @p188) :args (@t138)) % 234.13/234.32 (step @p194 :rule refl :args (@t139)) % 234.13/234.32 (step @p195 :rule cong :premises (@p194 @p193) :args ((=> @t139 @t138))) % 234.13/234.32 (assume-push @p388 @t139) % 234.13/234.32 (step @p197 :rule instantiate :premises (@p183) :args ((@list tptp.xl tptp.xm @t74))) % 234.13/234.32 (step-pop @p389 :rule scope :premises (@p197)) % 234.13/234.32 (step @p198 :rule process_scope :premises (@p389) :args (@t138)) % 234.13/234.32 (step @p200 :rule eq_resolve :premises (@p198 @p195)) % 234.13/234.32 (step @p201 :rule implies_elim :premises (@p200)) % 234.13/234.32 (step @p202 :rule chain_m_resolution :premises (@p201 @p183) :args (@t141 @t142 @t143)) % 234.13/234.32 (step @p203 :rule cnf_or_pos :args (@t141)) % 234.13/234.32 (step @p204 :rule reordering :premises (@p203) :args ((or @t140 @t93 @t81 @t95 @t136 (not @t141)))) % 234.13/234.32 (step @p205 :rule chain_m_resolution :premises (@p204 @p43 @p41 @p54 @p82 @p202) :args (@t136 (@list true false false false false) (@list @t140 @t69 @t68 @t70 @t141))) % 234.13/234.32 (step @p206 :rule cnf_and_pos :args (@t136 0)) % 234.13/234.32 (step @p207 :rule reordering :premises (@p206) :args ((or @t135 @t144))) % 234.13/234.32 (step @p208 :rule chain_m_resolution :premises (@p207 @p205) :args (@t135 @t142 @t145)) % 234.13/234.32 (step @p209 :rule cnf_or_pos :args (@t148)) % 234.13/234.32 (step @p210 :rule reordering :premises (@p209) :args ((or @t82 @t147 @t146 (not @t148)))) % 234.13/234.32 (step @p211 :rule chain_m_resolution :premises (@p210 @p38 @p208 @p137) :args (@t146 @t84 (@list @t72 @t135 @t148))) % 234.13/234.32 (step @p212 :rule true_intro :premises (@p211)) % 234.13/234.32 (step @p213 :rule aci_norm :args ((= @t157 @t155))) % 234.13/234.32 (step @p214 :rule cong :premises (@p213) :args (@t159)) % 234.13/234.32 (step @p215 :rule quant-merge-prenex :args ((= (forall @t3 @t161) @t159))) % 234.13/234.32 (step @p216 :rule alpha_equiv :args (@t162 (@list @t150 @t149) (@list @t4 @t13))) % 234.13/234.32 (step @p217 :rule nary_cong :premises (@p121 @p150 @p216) :args (@t163)) % 234.13/234.32 (step @p218 :rule quant-miniscope-or :args ((= @t161 @t163))) % 234.13/234.32 (step @p219 :rule trans :premises (@p218 @p217)) % 234.13/234.32 (step @p220 :rule symm :premises (@p219)) % 234.13/234.32 (step @p221 :rule cong :premises (@p220) :args ((forall @t3 @t167))) % 234.13/234.32 (step @p222 :rule trans :premises (@p221 @p215)) % 234.13/234.32 (step @p223 :rule trans :premises (@p222 @p214)) % 234.13/234.32 (step @p224 :rule aci_norm :args ((= (or @t77 (or @t35 @t166)) @t167))) % 234.13/234.32 (step @p225 :rule refl :args (@t166)) % 234.13/234.32 (step @p226 :rule nary_cong :premises (@p162 @p225) :args ((or @t131 @t166))) % 234.13/234.32 (step @p227 :rule bool-impl-elim :args (@t36 @t166)) % 234.13/234.32 (step @p228 :rule trans :premises (@p227 @p226)) % 234.13/234.32 (step @p229 :rule nary_cong :premises (@p121 @p228) :args ((or @t77 @t168))) % 234.13/234.32 (step @p230 :rule trans :premises (@p229 @p224)) % 234.13/234.32 (step @p231 :rule bool-impl-elim :args (@t2 @t168)) % 234.13/234.32 (step @p232 :rule trans :premises (@p231 @p230)) % 234.13/234.32 (step @p233 :rule cong :premises (@p232) :args ((forall @t3 (=> @t2 @t168)))) % 234.13/234.32 (step @p234 :rule trans :premises (@p233 @p223)) % 234.13/234.32 (step @p235 :rule aci_norm :args ((= (or @t111 (or @t164 @t25)) @t165))) % 234.13/234.32 (step @p236 :rule refl :args (@t25)) % 234.13/234.32 (step @p237 :rule bool-or-de-morgan :args (@t29 @t28 false)) % 234.13/234.32 (step @p238 :rule nary_cong :premises (@p237 @p236) :args ((or (not @t30) @t25))) % 234.13/234.32 (step @p239 :rule bool-impl-elim :args (@t30 @t25)) % 234.13/234.32 (step @p240 :rule trans :premises (@p239 @p238)) % 234.13/234.32 (step @p241 :rule nary_cong :premises (@p120 @p240) :args ((or @t112 @t31))) % 234.13/234.32 (step @p242 :rule trans :premises (@p241 @p235)) % 234.13/234.32 (step @p243 :rule bool-impl-elim :args (@t32 @t31)) % 234.13/234.32 (step @p244 :rule trans :premises (@p243 @p242)) % 234.13/234.32 (step @p245 :rule cong :premises (@p244) :args (@t34)) % 234.13/234.32 (step @p246 :rule refl :args (@t36)) % 234.13/234.32 (step @p247 :rule cong :premises (@p246 @p245) :args (@t37)) % 234.13/234.32 (step @p248 :rule refl :args (@t2)) % 234.13/234.32 (step @p249 :rule cong :premises (@p248 @p247) :args (@t38)) % 234.13/234.32 (step @p250 :rule cong :premises (@p249) :args (@t39)) % 234.13/234.32 (step @p251 :rule trans :premises (@p250 @p234)) % 234.13/234.32 (step @p252 :rule eq_resolve :premises (@p15 @p251)) % 234.13/234.32 (step @p253 :rule refl :args (@t169)) % 234.13/234.32 (step @p254 :rule refl :args (@t170)) % 234.13/234.32 (step @p255 :rule eq-symm :args (@t133 @t98)) % 234.13/234.32 (step @p256 :rule cong :premises (@p255) :args (@t171)) % 234.13/234.32 (step @p257 :rule nary_cong :premises (@p256 @p254) :args (@t172)) % 234.13/234.32 (step @p258 :rule refl :args (@t102)) % 234.13/234.32 (step @p259 :rule refl :args (@t147)) % 234.13/234.32 (step @p260 :rule nary_cong :premises (@p192 @p190 @p259 @p258 @p257 @p253) :args (@t173)) % 234.13/234.32 (step @p261 :rule refl :args (@t174)) % 234.13/234.32 (step @p262 :rule cong :premises (@p261 @p260) :args ((=> @t174 @t173))) % 234.13/234.32 (assume-push @p390 @t174) % 234.13/234.32 (step @p264 :rule instantiate :premises (@p252) :args ((@list tptp.xl @t74 @t97))) % 234.13/234.32 (step-pop @p391 :rule scope :premises (@p264)) % 234.13/234.32 (step @p265 :rule process_scope :premises (@p391) :args (@t173)) % 234.13/234.32 (step @p267 :rule eq_resolve :premises (@p265 @p262)) % 234.13/234.32 (step @p268 :rule implies_elim :premises (@p267)) % 234.13/234.32 (step @p269 :rule chain_m_resolution :premises (@p268 @p252) :args (@t178 @t142 (@list @t174))) % 234.13/234.32 (step @p270 :rule cnf_and_pos :args (@t136 1)) % 234.13/234.32 (step @p271 :rule reordering :premises (@p270) :args ((or @t134 @t144))) % 234.13/234.32 (step @p272 :rule chain_m_resolution :premises (@p271 @p205) :args (@t134 @t142 @t145)) % 234.13/234.32 (step @p273 :rule trans :premises (@p94 @p272)) % 234.13/234.32 (step @p274 :rule cnf_and_pos :args (@t177 0)) % 234.13/234.32 (step @p275 :rule reordering :premises (@p274) :args ((or @t176 @t179))) % 234.13/234.32 (step @p276 :rule chain_m_resolution :premises (@p275 @p273) :args (@t179 @t142 (@list @t175))) % 234.13/234.32 (step @p277 :rule cnf_or_pos :args (@t178)) % 234.13/234.32 (step @p278 :rule reordering :premises (@p277) :args ((or @t140 @t93 @t147 @t102 @t169 @t177 (not @t178)))) % 234.13/234.32 (step @p279 :rule chain_m_resolution :premises (@p278 @p43 @p41 @p208 @p109 @p276 @p269) :args (@t169 @t180 (@list @t140 @t69 @t135 @t101 @t177 @t178))) % 234.13/234.32 (step @p280 :rule symm :premises (@p279)) % 234.13/234.32 (step @p281 :rule cong :premises (@p115 @p280) :args (@t113)) % 234.13/234.32 (step @p282 :rule cong :premises (@p281) :args (@t181)) % 234.13/234.32 (step @p283 :rule trans :premises (@p282 @p212)) % 234.13/234.32 (step @p284 :rule true_elim :premises (@p283)) % 234.13/234.32 (step @p285 :rule cnf_or_pos :args (@t185)) % 234.13/234.32 (step @p286 :rule reordering :premises (@p285) :args ((or @t93 @t184 @t183 (not @t185)))) % 234.13/234.32 (step @p287 :rule chain_m_resolution :premises (@p286 @p41 @p284 @p136) :args (@t183 @t84 (@list @t69 @t181 @t185))) % 234.13/234.32 (step @p288 :rule symm :premises (@p287)) % 234.13/234.32 (step @p289 :rule cong :premises (@p115 @p279) :args (@t75)) % 234.13/234.32 (step @p290 :rule refl :args (tptp.xl)) % 234.13/234.32 (step @p291 :rule cong :premises (@p290 @p289) :args (@t186)) % 234.13/234.32 (step @p292 :rule trans :premises (@p291 @p288 @p135 @p116)) % 234.13/234.32 (step @p293 :rule cong :premises (@p292) :args (@t187)) % 234.13/234.32 (step @p294 :rule trans :premises (@p293 @p58)) % 234.13/234.32 (step @p295 :rule true_elim :premises (@p294)) % 234.13/234.32 (step @p296 :rule eq-symm :args (@t188 @t75)) % 234.13/234.32 (step @p297 :rule aci_norm :args ((= (and @t146 true) @t146))) % 234.13/234.32 (step @p298 :rule eq-refl :args (@t186)) % 234.13/234.32 (step @p299 :rule refl :args (@t146)) % 234.13/234.32 (step @p300 :rule nary_cong :premises (@p299 @p298) :args (@t189)) % 234.13/234.32 (step @p301 :rule trans :premises (@p300 @p297)) % 234.13/234.32 (step @p302 :rule cong :premises (@p301 @p296) :args (@t190)) % 234.13/234.32 (step @p303 :rule refl :args (@t192)) % 234.13/234.32 (step @p304 :rule refl :args (@t193)) % 234.13/234.32 (step @p305 :rule nary_cong :premises (@p192 @p304 @p190 @p303 @p302) :args (@t194)) % 234.13/234.32 (step @p306 :rule cong :premises (@p194 @p305) :args ((=> @t139 @t194))) % 234.13/234.32 (assume-push @p392 @t139) % 234.13/234.32 (step @p308 :rule instantiate :premises (@p183) :args ((@list tptp.xl @t186 @t75))) % 234.13/234.32 (step-pop @p393 :rule scope :premises (@p308)) % 234.13/234.32 (step @p309 :rule process_scope :premises (@p393) :args (@t194)) % 234.13/234.32 (step @p311 :rule eq_resolve :premises (@p309 @p306)) % 234.13/234.32 (step @p312 :rule implies_elim :premises (@p311)) % 234.13/234.32 (step @p313 :rule chain_m_resolution :premises (@p312 @p183) :args (@t197 @t142 @t143)) % 234.13/234.32 (step @p314 :rule instantiate :premises (@p77) :args ((@list tptp.xl @t73))) % 234.13/234.32 (step @p315 :rule cnf_or_pos :args (@t203)) % 234.13/234.32 (step @p316 :rule reordering :premises (@p315) :args ((or @t93 @t202 @t201 (not @t203)))) % 234.13/234.32 (step @p317 :rule chain_m_resolution :premises (@p316 @p41 @p57 @p314) :args (@t201 @t84 (@list @t69 @t80 @t203))) % 234.13/234.32 (step @p318 :rule cong :premises (@p290 @p281) :args (@t182)) % 234.13/234.32 (step @p319 :rule symm :premises (@p135)) % 234.13/234.32 (step @p320 :rule trans :premises (@p93 @p112)) % 234.13/234.32 (step @p321 :rule cong :premises (@p115 @p320) :args (@t73)) % 234.13/234.32 (step @p322 :rule trans :premises (@p321 @p319 @p287 @p318)) % 234.13/234.32 (step @p323 :rule cnf_or_pos :args (@t207)) % 234.13/234.32 (step @p324 :rule reordering :premises (@p323) :args ((or @t206 @t205 @t208))) % 234.13/234.32 (step @p325 :rule chain_m_resolution :premises (@p324 @p211 @p322) :args (@t208 @t96 (@list @t146 @t204))) % 234.13/234.32 (assume-push @p394 @t198) % 234.13/234.32 (step @p327 :rule instantiate :premises (@p394) :args ((@list @t75))) % 234.13/234.32 (step-pop @p395 :rule scope :premises (@p327)) % 234.13/234.32 (step @p328 :rule process_scope :premises (@p395) :args (@t207)) % 234.13/234.32 (step @p330 :rule implies_elim :premises (@p328)) % 234.13/234.32 (step @p331 :rule chain_m_resolution :premises (@p330 @p325) :args (@t199 @t104 (@list @t207))) % 234.13/234.32 (step @p332 :rule bool-double-not-elim :args (@t198)) % 234.13/234.32 (step @p333 :rule refl :args (@t200)) % 234.13/234.32 (step @p334 :rule refl :args (@t209)) % 234.13/234.32 (step @p335 :rule nary_cong :premises (@p334 @p333 @p332) :args ((or @t209 @t200 (not @t199)))) % 234.13/234.32 (step @p336 :rule cnf_equiv_pos2 :args (@t201)) % 234.13/234.32 (step @p337 :rule eq_resolve :premises (@p336 @p335)) % 234.13/234.32 (step @p338 :rule reordering :premises (@p337) :args ((or @t200 @t198 @t209))) % 234.13/234.32 (step @p339 :rule chain_m_resolution :premises (@p338 @p331 @p317) :args (@t200 (@list true false) (@list @t198 @t201))) % 234.13/234.32 (assume-push @p396 @t99) % 234.13/234.32 (assume-push @p397 @t200) % 234.13/234.32 (assume-push @p398 @t169) % 234.13/234.32 (assume-push @p399 @t107) % 234.13/234.32 (assume-push @p400 @t115) % 234.13/234.32 (assume-push @p401 @t183) % 234.13/234.32 (assume-push @p402 @t200) % 234.13/234.32 (assume-push @p403 @t99) % 234.13/234.32 (assume-push @p404 @t107) % 234.13/234.32 (assume-push @p405 @t115) % 234.13/234.32 (assume-push @p406 @t183) % 234.13/234.32 (assume-push @p407 @t169) % 234.13/234.32 (step @p352 :rule true_intro :premises (@p397)) % 234.13/234.32 (step @p353 :rule cong :premises (@p290 @p292) :args (@t191)) % 234.13/234.32 (step @p354 :rule trans :premises (@p353 @p352)) % 234.13/234.32 (step @p355 :rule true_elim :premises (@p354)) % 234.13/234.32 (step-pop @p408 :rule scope :premises (@p355)) % 234.13/234.32 (step-pop @p409 :rule scope :premises (@p408)) % 234.13/234.32 (step-pop @p410 :rule scope :premises (@p409)) % 234.13/234.32 (step-pop @p411 :rule scope :premises (@p410)) % 234.13/234.32 (step-pop @p412 :rule scope :premises (@p411)) % 234.13/234.32 (step-pop @p413 :rule scope :premises (@p412)) % 234.13/234.32 (step @p356 :rule process_scope :premises (@p413) :args (@t191)) % 234.13/234.32 (step @p363 :rule and_intro :premises (@p397 @p93 @p112 @p135 @p287 @p279)) % 234.13/234.32 (step @p364 :rule modus_ponens :premises (@p363 @p356)) % 234.13/234.32 (step-pop @p414 :rule scope :premises (@p364)) % 234.13/234.32 (step-pop @p415 :rule scope :premises (@p414)) % 234.13/234.32 (step-pop @p416 :rule scope :premises (@p415)) % 234.13/234.32 (step-pop @p417 :rule scope :premises (@p416)) % 234.13/234.32 (step-pop @p418 :rule scope :premises (@p417)) % 234.13/234.32 (step-pop @p419 :rule scope :premises (@p418)) % 234.13/234.32 (step @p365 :rule process_scope :premises (@p419) :args (@t191)) % 234.13/234.32 (step @p372 :rule implies_elim :premises (@p365)) % 234.13/234.32 (step @p373 :rule cnf_and_neg :args (@t210)) % 234.13/234.32 (step @p374 :rule resolution :premises (@p373 @p372) :args (true @t210)) % 234.13/234.32 (step @p375 :rule chain_m_resolution :premises (@p374 @p93 @p339 @p279 @p112 @p135 @p287) :args (@t191 (@list false false false false false false) (@list @t99 @t200 @t169 @t107 @t115 @t183))) % 234.13/234.32 (step @p376 :rule false_intro :premises (@p39)) % 234.13/234.32 (step @p377 :rule cong :premises (@p292 @p290) :args (@t188)) % 234.13/234.32 (step @p378 :rule refl :args (@t75)) % 234.13/234.32 (step @p379 :rule cong :premises (@p378 @p377) :args (@t195)) % 234.13/234.33 (step @p380 :rule trans :premises (@p379 @p376)) % 234.13/234.33 (step @p381 :rule false_elim :premises (@p380)) % 234.13/234.33 (step @p382 :rule cnf_equiv_pos1 :args (@t196)) % 234.13/234.33 (step @p383 :rule reordering :premises (@p382) :args ((or @t206 @t195 @t211))) % 234.13/234.33 (step @p384 :rule chain_m_resolution :premises (@p383 @p211 @p381) :args (@t211 (@list false true) (@list @t146 @t195))) % 234.13/234.33 (step @p385 :rule cnf_or_pos :args (@t197)) % 234.13/234.33 (step @p386 :rule reordering :premises (@p385) :args ((or @t140 @t93 @t193 @t192 @t196 (not @t197)))) % 234.13/234.33 (step @p387 false :rule chain_m_resolution :premises (@p386 @p384 @p375 @p313 @p295 @p43 @p41) :args (false @t180 (@list @t196 @t191 @t197 @t187 @t140 @t69))) % 234.13/234.33 ) % 234.13/234.33 % SZS output end Proof % 234.13/234.33 % cvc5 exiting %------------------------------------------------------------------------------