%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM554+3 : 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 : n018.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 08:39:49 AM UTC 2026 % Result : Theorem 0.53s 0.78s % Output : Proof 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM554+3 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n018.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 11:29:20 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.53/0.78 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.53/0.78 % SZS status Theorem % 0.53/0.78 % SZS output start Proof % 0.53/0.78 ( % 0.53/0.78 (declare-sort $$unsorted 0) % 0.53/0.78 (declare-const tptp.xQ $$unsorted) % 0.53/0.78 (declare-const tptp.xx $$unsorted) % 0.53/0.78 (declare-const tptp.xT $$unsorted) % 0.53/0.78 (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.78 (declare-const tptp.xP $$unsorted) % 0.53/0.78 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 0.53/0.78 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 0.53/0.78 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 0.53/0.78 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 0.53/0.78 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.53/0.78 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 0.53/0.78 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 0.53/0.78 (declare-const tptp.xS $$unsorted) % 0.53/0.78 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 0.53/0.78 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 0.53/0.78 (declare-const tptp.xy $$unsorted) % 0.53/0.78 (declare-const tptp.slcrc0 $$unsorted) % 0.53/0.78 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.78 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 0.53/0.78 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.53/0.78 (declare-const tptp.xk $$unsorted) % 0.53/0.78 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 0.53/0.78 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.78 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 0.53/0.78 (declare-const tptp.szNzAzT0 $$unsorted) % 0.53/0.78 (declare-const tptp.sz00 $$unsorted) % 0.53/0.78 (define @t1 () (@var "W0" $$unsorted)) % 0.53/0.78 (define @t2 () (tptp.aSet0 @t1)) % 0.53/0.78 (define @t3 () (@list @t1)) % 0.53/0.78 (define @t4 () (tptp.aElement0 @t1)) % 0.53/0.78 (define @t5 () (@var "W1" $$unsorted)) % 0.53/0.78 (define @t6 () (tptp.aElement0 @t5)) % 0.53/0.78 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 0.53/0.78 (define @t8 () (@list @t5)) % 0.53/0.78 (define @t9 () (forall @t8 (=> @t7 @t6))) % 0.53/0.78 (define @t10 () (=> @t2 @t9)) % 0.53/0.78 (define @t11 () (forall @t3 @t10)) % 0.53/0.78 (define @t12 () (tptp.isFinite0 @t1)) % 0.53/0.78 (define @t13 () (= @t1 tptp.slcrc0)) % 0.53/0.78 (define @t14 () (tptp.isCountable0 @t1)) % 0.53/0.78 (define @t15 () (not @t12)) % 0.53/0.78 (define @t16 () (and @t2 @t14)) % 0.53/0.78 (define @t17 () (not @t13)) % 0.53/0.78 (define @t18 () (@var "W2" $$unsorted)) % 0.53/0.78 (define @t19 () (tptp.aElementOf0 @t18 @t1)) % 0.53/0.78 (define @t20 () (tptp.aElementOf0 @t18 @t5)) % 0.53/0.78 (define @t21 () (@list @t18)) % 0.53/0.78 (define @t22 () (tptp.aSet0 @t5)) % 0.53/0.78 (define @t23 () (tptp.aSubsetOf0 @t5 @t1)) % 0.53/0.78 (define @t24 () (tptp.isFinite0 @t5)) % 0.53/0.78 (define @t25 () (and @t2 @t12)) % 0.53/0.78 (define @t26 () (= @t1 @t5)) % 0.53/0.78 (define @t27 () (tptp.aSubsetOf0 @t1 @t5)) % 0.53/0.78 (define @t28 () (@list @t1 @t5)) % 0.53/0.78 (define @t29 () (tptp.aSet0 @t18)) % 0.53/0.78 (define @t30 () (@list @t1 @t5 @t18)) % 0.53/0.78 (define @t31 () (@var "W3" $$unsorted)) % 0.53/0.78 (define @t32 () (= @t31 @t5)) % 0.53/0.78 (define @t33 () (tptp.aElementOf0 @t31 @t1)) % 0.53/0.78 (define @t34 () (tptp.aElement0 @t31)) % 0.53/0.78 (define @t35 () (tptp.aElementOf0 @t31 @t18)) % 0.53/0.78 (define @t36 () (@list @t31)) % 0.53/0.78 (define @t37 () (tptp.sdtpldt0 @t1 @t5)) % 0.53/0.78 (define @t38 () (and @t2 @t6)) % 0.53/0.78 (define @t39 () (tptp.sdtmndt0 @t1 @t5)) % 0.53/0.78 (define @t40 () (tptp.sdtpldt0 @t5 @t1)) % 0.53/0.78 (define @t41 () (and @t22 (tptp.isCountable0 @t5))) % 0.53/0.78 (define @t42 () (tptp.sdtmndt0 @t5 @t1)) % 0.53/0.78 (define @t43 () (and @t22 @t24)) % 0.53/0.78 (define @t44 () (tptp.isFinite0 @t42)) % 0.53/0.78 (define @t45 () (forall @t8 (=> @t43 @t44))) % 0.53/0.78 (define @t46 () (=> @t4 @t45)) % 0.53/0.78 (define @t47 () (forall @t3 @t46)) % 0.53/0.78 (define @t48 () (tptp.szszuzczcdt0 @t1)) % 0.53/0.78 (define @t49 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 0.53/0.78 (define @t50 () (tptp.szszuzczcdt0 @t5)) % 0.53/0.78 (define @t51 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 0.53/0.78 (define @t52 () (and @t49 @t51)) % 0.53/0.78 (define @t53 () (tptp.sdtlseqdt0 @t1 @t5)) % 0.53/0.78 (define @t54 () (tptp.sdtlseqdt0 @t5 @t18)) % 0.53/0.78 (define @t55 () (tptp.aElementOf0 @t18 tptp.szNzAzT0)) % 0.53/0.78 (define @t56 () (tptp.sbrdtbr0 @t1)) % 0.53/0.78 (define @t57 () (tptp.szszuzczcdt0 @t56)) % 0.53/0.78 (define @t58 () (= (tptp.sbrdtbr0 @t37) @t57)) % 0.53/0.78 (define @t59 () (not @t7)) % 0.53/0.78 (define @t60 () (=> @t59 @t58)) % 0.53/0.78 (define @t61 () (forall @t8 (=> @t6 @t60))) % 0.53/0.78 (define @t62 () (=> @t25 @t61)) % 0.53/0.78 (define @t63 () (forall @t3 @t62)) % 0.53/0.78 (define @t64 () (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t39))) % 0.53/0.78 (define @t65 () (and @t12 @t7)) % 0.53/0.78 (define @t66 () (=> @t65 (= @t64 @t56))) % 0.53/0.78 (define @t67 () (forall @t8 @t66)) % 0.53/0.78 (define @t68 () (=> @t2 @t67)) % 0.53/0.78 (define @t69 () (forall @t3 @t68)) % 0.53/0.78 (define @t70 () (and @t2 @t51)) % 0.53/0.78 (define @t71 () (tptp.szmzizndt0 @t1)) % 0.53/0.78 (define @t72 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 0.53/0.78 (define @t73 () (tptp.szmzizndt0 @t5)) % 0.53/0.78 (define @t74 () (tptp.slbdtrb0 @t1)) % 0.53/0.78 (define @t75 () (tptp.slbdtrb0 @t5)) % 0.53/0.78 (define @t76 () (tptp.slbdtsldtrb0 @t1 @t5)) % 0.53/0.78 (define @t77 () (tptp.aSet0 tptp.xS)) % 0.53/0.78 (define @t78 () (tptp.slbdtsldtrb0 tptp.xS tptp.xk)) % 0.53/0.78 (define @t79 () (tptp.aElementOf0 @t1 @t78)) % 0.53/0.78 (define @t80 () (= @t56 tptp.xk)) % 0.53/0.78 (define @t81 () (tptp.aSubsetOf0 @t1 tptp.xS)) % 0.53/0.78 (define @t82 () (forall @t8 (=> @t7 (tptp.aElementOf0 @t5 tptp.xS)))) % 0.53/0.78 (define @t83 () (forall @t3 (and (=> @t79 (and @t2 @t82 @t81 @t80)) (=> (and (or (and @t2 @t82) @t81) @t80) @t79)))) % 0.53/0.78 (define @t84 () (tptp.slbdtsldtrb0 tptp.xT tptp.xk)) % 0.53/0.78 (define @t85 () (tptp.aElementOf0 @t1 @t84)) % 0.53/0.78 (define @t86 () (tptp.aSubsetOf0 @t1 tptp.xT)) % 0.53/0.78 (define @t87 () (forall @t8 (=> @t7 (tptp.aElementOf0 @t5 tptp.xT)))) % 0.53/0.78 (define @t88 () (tptp.aElementOf0 tptp.xx tptp.xS)) % 0.53/0.78 (define @t89 () (tptp.sbrdtbr0 tptp.xQ)) % 0.53/0.78 (define @t90 () (= @t89 tptp.xk)) % 0.53/0.78 (define @t91 () (tptp.aElementOf0 @t1 tptp.xS)) % 0.53/0.78 (define @t92 () (tptp.aElementOf0 @t1 tptp.xQ)) % 0.53/0.78 (define @t93 () (forall @t3 (=> @t92 @t91))) % 0.53/0.78 (define @t94 () (tptp.aSet0 tptp.xQ)) % 0.53/0.78 (define @t95 () (tptp.isFinite0 tptp.xQ)) % 0.53/0.78 (define @t96 () (tptp.aElementOf0 tptp.xy tptp.xQ)) % 0.53/0.78 (define @t97 () (tptp.aElement0 tptp.xy)) % 0.53/0.78 (define @t98 () (tptp.aElementOf0 tptp.xx tptp.xQ)) % 0.53/0.78 (define @t99 () (tptp.sdtmndt0 tptp.xQ tptp.xy)) % 0.53/0.78 (define @t100 () (tptp.sdtpldt0 @t99 tptp.xx)) % 0.53/0.78 (define @t101 () (tptp.aElementOf0 @t1 @t99)) % 0.53/0.78 (define @t102 () (tptp.aElementOf0 @t1 tptp.xP)) % 0.53/0.78 (define @t103 () (forall @t3 (= @t102 (and @t4 (or @t101 (= @t1 tptp.xx)))))) % 0.53/0.78 (define @t104 () (forall @t3 (= @t101 (and @t4 @t92 (not (= @t1 tptp.xy)))))) % 0.53/0.78 (define @t105 () (tptp.aSet0 @t99)) % 0.53/0.78 (define @t106 () (tptp.aElementOf0 tptp.xP @t78)) % 0.53/0.78 (define @t107 () (tptp.sbrdtbr0 tptp.xP)) % 0.53/0.78 (define @t108 () (tptp.aSubsetOf0 tptp.xP tptp.xS)) % 0.53/0.78 (define @t109 () (forall @t3 (=> @t102 @t91))) % 0.53/0.78 (define @t110 () (or @t109 @t108)) % 0.53/0.78 (define @t111 () (and @t110 (= @t107 tptp.xk))) % 0.53/0.78 (define @t112 () (or @t111 @t106)) % 0.53/0.78 (define @t113 () (not @t112)) % 0.53/0.78 (define @t114 () (tptp.sbrdtbr0 @t100)) % 0.53/0.78 (define @t115 () (@var "BOUND_VARIABLE_8318" $$unsorted)) % 0.53/0.78 (define @t116 () (tptp.sbrdtbr0 (tptp.sdtpldt0 @t1 @t115))) % 0.53/0.78 (define @t117 () (tptp.aElementOf0 @t115 @t1)) % 0.53/0.78 (define @t118 () (not (tptp.aElement0 @t115))) % 0.53/0.78 (define @t119 () (not @t2)) % 0.53/0.78 (define @t120 () (= @t116 @t57)) % 0.53/0.78 (define @t121 () (or @t119 @t15 @t118 @t117 @t120)) % 0.53/0.78 (define @t122 () (or @t118 @t117 @t120)) % 0.53/0.78 (define @t123 () (or @t119 @t15 @t122)) % 0.53/0.78 (define @t124 () (forall (@list @t1 @t115) @t123)) % 0.53/0.78 (define @t125 () (@list @t115)) % 0.53/0.78 (define @t126 () (forall @t125 @t123)) % 0.53/0.78 (define @t127 () (forall @t125 @t122)) % 0.53/0.78 (define @t128 () (@list @t5)) % 0.53/0.78 (define @t129 () (or @t119 @t15 @t127)) % 0.53/0.78 (define @t130 () (not @t6)) % 0.53/0.78 (define @t131 () (or @t130 @t7 @t58)) % 0.53/0.78 (define @t132 () (forall @t8 @t131)) % 0.53/0.78 (define @t133 () (or @t119 @t15 @t132)) % 0.53/0.78 (define @t134 () (tptp.aElement0 tptp.xx)) % 0.53/0.78 (define @t135 () (and @t134 @t98 (not (= tptp.xx tptp.xy)))) % 0.53/0.78 (define @t136 () (not @t135)) % 0.53/0.78 (define @t137 () (@list true)) % 0.53/0.78 (define @t138 () (tptp.aElementOf0 tptp.xx @t99)) % 0.53/0.78 (define @t139 () (= @t138 @t135)) % 0.53/0.78 (define @t140 () (not @t138)) % 0.53/0.78 (define @t141 () (@list true false)) % 0.53/0.78 (define @t142 () (@var "BOUND_VARIABLE_7921" $$unsorted)) % 0.53/0.78 (define @t143 () (tptp.aElement0 @t142)) % 0.53/0.78 (define @t144 () (not (tptp.aElementOf0 @t142 @t1))) % 0.53/0.78 (define @t145 () (or @t144 @t143)) % 0.53/0.78 (define @t146 () (or @t119 @t145)) % 0.53/0.78 (define @t147 () (forall (@list @t1 @t142) @t146)) % 0.53/0.78 (define @t148 () (@list @t142)) % 0.53/0.78 (define @t149 () (forall @t148 @t146)) % 0.53/0.78 (define @t150 () (forall @t148 @t145)) % 0.53/0.78 (define @t151 () (or @t119 @t150)) % 0.53/0.78 (define @t152 () (forall @t8 (or @t59 @t6))) % 0.53/0.78 (define @t153 () (not @t88)) % 0.53/0.78 (define @t154 () (not @t77)) % 0.53/0.78 (define @t155 () (or @t154 @t153 @t134)) % 0.53/0.78 (define @t156 () (@var "BOUND_VARIABLE_8203" $$unsorted)) % 0.53/0.78 (define @t157 () (tptp.isFinite0 (tptp.sdtmndt0 @t156 @t1))) % 0.53/0.78 (define @t158 () (not (tptp.isFinite0 @t156))) % 0.53/0.78 (define @t159 () (not (tptp.aSet0 @t156))) % 0.53/0.78 (define @t160 () (not @t4)) % 0.53/0.78 (define @t161 () (or @t159 @t158 @t157)) % 0.53/0.78 (define @t162 () (or @t160 @t161)) % 0.53/0.78 (define @t163 () (forall (@list @t1 @t156) @t162)) % 0.53/0.78 (define @t164 () (@list @t156)) % 0.53/0.78 (define @t165 () (forall @t164 @t162)) % 0.53/0.78 (define @t166 () (forall @t164 @t161)) % 0.53/0.78 (define @t167 () (or @t160 @t166)) % 0.53/0.78 (define @t168 () (not @t24)) % 0.53/0.78 (define @t169 () (not @t22)) % 0.53/0.78 (define @t170 () (or @t169 @t168 @t44)) % 0.53/0.78 (define @t171 () (forall @t8 @t170)) % 0.53/0.78 (define @t172 () (tptp.isFinite0 @t99)) % 0.53/0.78 (define @t173 () (not @t95)) % 0.53/0.78 (define @t174 () (not @t94)) % 0.53/0.78 (define @t175 () (not @t97)) % 0.53/0.78 (define @t176 () (or @t175 @t174 @t173 @t172)) % 0.53/0.78 (define @t177 () (@list false false false false)) % 0.53/0.78 (define @t178 () (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t99))) % 0.53/0.78 (define @t179 () (= @t178 @t114)) % 0.53/0.78 (define @t180 () (not @t134)) % 0.53/0.78 (define @t181 () (not @t172)) % 0.53/0.78 (define @t182 () (not @t105)) % 0.53/0.78 (define @t183 () (or @t182 @t181 @t180 @t138 @t179)) % 0.53/0.78 (define @t184 () (@var "BOUND_VARIABLE_8349" $$unsorted)) % 0.53/0.78 (define @t185 () (= @t56 (tptp.szszuzczcdt0 (tptp.sbrdtbr0 (tptp.sdtmndt0 @t1 @t184))))) % 0.53/0.78 (define @t186 () (not (tptp.aElementOf0 @t184 @t1))) % 0.53/0.78 (define @t187 () (or @t186 @t185)) % 0.53/0.78 (define @t188 () (or @t119 @t15 @t187)) % 0.53/0.78 (define @t189 () (forall (@list @t1 @t184) @t188)) % 0.53/0.78 (define @t190 () (@list @t184)) % 0.53/0.78 (define @t191 () (forall @t190 @t188)) % 0.53/0.78 (define @t192 () (forall @t190 @t187)) % 0.53/0.78 (define @t193 () (or @t119 @t15 @t192)) % 0.53/0.78 (define @t194 () (= @t56 @t64)) % 0.53/0.78 (define @t195 () (or @t59 @t194)) % 0.53/0.78 (define @t196 () (forall @t8 @t195)) % 0.53/0.78 (define @t197 () (or @t119 @t15 @t196)) % 0.53/0.78 (define @t198 () (or @t15 @t196)) % 0.53/0.78 (define @t199 () (or @t15 @t195)) % 0.53/0.78 (define @t200 () (or @t15 @t59 @t194)) % 0.53/0.78 (define @t201 () (= @t89 @t178)) % 0.53/0.78 (define @t202 () (not @t96)) % 0.53/0.78 (define @t203 () (or @t174 @t173 @t202 @t201)) % 0.53/0.78 (define @t204 () (forall @t3 (or (not @t102) @t91))) % 0.53/0.78 (define @t205 () (or @t204 @t108)) % 0.53/0.78 (define @t206 () (@list false)) % 0.53/0.78 (define @t207 () (@quantifiers_skolemize @t204 0)) % 0.53/0.78 (define @t208 () (tptp.aElementOf0 @t207 tptp.xS)) % 0.53/0.78 (define @t209 () (tptp.aElementOf0 @t207 tptp.xP)) % 0.53/0.78 (define @t210 () (not @t209)) % 0.53/0.78 (define @t211 () (or @t210 @t208)) % 0.53/0.78 (define @t212 () (@list @t211)) % 0.53/0.78 (define @t213 () (tptp.aElementOf0 @t207 @t99)) % 0.53/0.78 (define @t214 () (or @t213 (= @t207 tptp.xx))) % 0.53/0.78 (define @t215 () (tptp.aElement0 @t207)) % 0.53/0.78 (define @t216 () (and @t215 @t214)) % 0.53/0.78 (define @t217 () (= @t209 @t216)) % 0.53/0.78 (define @t218 () (@list @t207)) % 0.53/0.78 (define @t219 () (= tptp.xx @t207)) % 0.53/0.78 (define @t220 () (or @t213 @t219)) % 0.53/0.78 (define @t221 () (and @t215 @t220)) % 0.53/0.78 (define @t222 () (= @t209 @t221)) % 0.53/0.78 (define @t223 () (not (= @t207 tptp.xy))) % 0.53/0.78 (define @t224 () (tptp.aElementOf0 @t207 tptp.xQ)) % 0.53/0.78 (define @t225 () (and @t215 @t224 @t223)) % 0.53/0.78 (define @t226 () (= @t213 @t225)) % 0.53/0.78 (define @t227 () (and @t215 @t224 (not (= tptp.xy @t207)))) % 0.53/0.78 (define @t228 () (= @t213 @t227)) % 0.53/0.78 (define @t229 () (not @t224)) % 0.53/0.78 (define @t230 () (or @t229 @t208)) % 0.53/0.78 (define @t231 () (not @t227)) % 0.53/0.78 (define @t232 () (not @t213)) % 0.53/0.78 (assume @p1 (forall @t3 (=> @t2 true))) % 0.53/0.78 (assume @p2 (forall @t3 (=> @t4 true))) % 0.53/0.78 (assume @p3 @t11) % 0.53/0.78 (assume @p4 (forall @t3 (=> @t2 (=> @t12 true)))) % 0.53/0.78 (assume @p5 (forall @t3 (= @t13 (and @t2 (not (exists @t8 @t7)))))) % 0.53/0.78 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 0.53/0.78 (assume @p7 (forall @t3 (=> @t2 (=> @t14 true)))) % 0.53/0.78 (assume @p8 (forall @t3 (=> @t16 @t15))) % 0.53/0.78 (assume @p9 (forall @t3 (=> @t16 @t17))) % 0.53/0.78 (assume @p10 (forall @t3 (=> @t2 (forall @t8 (= @t23 (and @t22 (forall @t21 (=> @t20 @t19)))))))) % 0.53/0.78 (assume @p11 (forall @t3 (=> @t25 (forall @t8 (=> @t23 @t24))))) % 0.53/0.78 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 0.53/0.78 (assume @p13 (forall @t28 (=> (and @t2 @t22) (=> (and @t27 @t23) @t26)))) % 0.53/0.78 (assume @p14 (forall @t30 (=> (and @t2 @t22 @t29) (=> (and @t27 (tptp.aSubsetOf0 @t5 @t18)) (tptp.aSubsetOf0 @t1 @t18))))) % 0.53/0.78 (assume @p15 (forall @t28 (=> @t38 (forall @t21 (= (= @t18 @t37) (and @t29 (forall @t36 (= @t35 (and @t34 (or @t33 @t32)))))))))) % 0.53/0.78 (assume @p16 (forall @t28 (=> @t38 (forall @t21 (= (= @t18 @t39) (and @t29 (forall @t36 (= @t35 (and @t34 @t33 (not @t32)))))))))) % 0.53/0.78 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t39 @t5) @t1)))))) % 0.53/0.78 (assume @p18 (forall @t28 (=> (and @t4 @t22) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t40 @t1) @t5))))) % 0.53/0.78 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t41 (tptp.isCountable0 @t40)))))) % 0.53/0.78 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t41 (tptp.isCountable0 @t42)))))) % 0.53/0.78 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t43 (tptp.isFinite0 @t40)))))) % 0.53/0.78 (assume @p22 @t47) % 0.53/0.78 (assume @p23 (and (tptp.aSet0 tptp.szNzAzT0) (tptp.isCountable0 tptp.szNzAzT0))) % 0.53/0.78 (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 0.53/0.78 (assume @p25 (forall @t3 (=> @t49 (and (tptp.aElementOf0 @t48 tptp.szNzAzT0) (not (= @t48 tptp.sz00)))))) % 0.53/0.78 (assume @p26 (forall @t28 (=> @t52 (=> (= @t48 @t50) @t26)))) % 0.53/0.78 (assume @p27 (forall @t3 (=> @t49 (or (= @t1 tptp.sz00) (exists @t8 (and @t51 (= @t1 @t50))))))) % 0.53/0.78 (assume @p28 (forall @t3 (=> @t49 (not (= @t1 @t48))))) % 0.53/0.78 (assume @p29 (forall @t28 (=> @t52 (=> @t53 true)))) % 0.53/0.78 (assume @p30 (forall @t3 (=> @t49 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 0.53/0.78 (assume @p31 (forall @t3 (=> @t49 (not (tptp.sdtlseqdt0 @t48 tptp.sz00))))) % 0.53/0.78 (assume @p32 (forall @t28 (=> @t52 (= @t53 (tptp.sdtlseqdt0 @t48 @t50))))) % 0.53/0.78 (assume @p33 (forall @t3 (=> @t49 (tptp.sdtlseqdt0 @t1 @t48)))) % 0.53/0.78 (assume @p34 (forall @t3 (=> @t49 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.53/0.78 (assume @p35 (forall @t28 (=> @t52 (=> (and @t53 (tptp.sdtlseqdt0 @t5 @t1)) @t26)))) % 0.53/0.78 (assume @p36 (forall @t30 (=> (and @t49 @t51 @t55) (=> (and @t53 @t54) (tptp.sdtlseqdt0 @t1 @t18))))) % 0.53/0.78 (assume @p37 (forall @t28 (=> @t52 (or @t53 (tptp.sdtlseqdt0 @t50 @t1))))) % 0.53/0.78 (assume @p38 (forall @t28 (=> @t52 (=> (tptp.iLess0 @t1 @t5) true)))) % 0.53/0.78 (assume @p39 (forall @t3 (=> @t49 (tptp.iLess0 @t1 @t48)))) % 0.53/0.78 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t56)))) % 0.53/0.78 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t56 tptp.szNzAzT0) @t12)))) % 0.53/0.78 (assume @p42 (forall @t3 (=> @t2 (= (= @t56 tptp.sz00) @t13)))) % 0.53/0.78 (assume @p43 @t63) % 0.53/0.78 (assume @p44 @t69) % 0.53/0.78 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t12 @t23) (tptp.sdtlseqdt0 (tptp.sbrdtbr0 @t5) @t56)))))) % 0.53/0.78 (assume @p46 (forall @t28 (=> @t70 (=> (and @t12 (tptp.sdtlseqdt0 @t5 @t56)) (exists @t21 (and (tptp.aSubsetOf0 @t18 @t1) (= (tptp.sbrdtbr0 @t18) @t5))))))) % 0.53/0.78 (assume @p47 (forall @t3 (=> (and @t72 @t17) (forall @t8 (= (= @t5 @t71) (and @t7 (forall @t21 (=> @t19 @t54)))))))) % 0.53/0.78 (assume @p48 (forall @t3 (=> (and @t72 @t12 @t17) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t21 (=> @t19 (tptp.sdtlseqdt0 @t18 @t5))))))))) % 0.53/0.78 (assume @p49 (forall @t28 (=> (and @t72 (tptp.aSubsetOf0 @t5 tptp.szNzAzT0) @t17 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t71 @t5) (tptp.aElementOf0 @t73 @t1)) (= @t71 @t73))))) % 0.53/0.78 (assume @p50 (forall @t3 (=> @t49 (forall @t8 (= (= @t5 @t74) (and @t22 (forall @t21 (= @t20 (and @t55 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t18) @t1)))))))))) % 0.53/0.78 (assume @p51 (forall @t3 (=> @t49 (tptp.isFinite0 @t74)))) % 0.53/0.78 (assume @p52 (= (tptp.slbdtrb0 tptp.sz00) tptp.slcrc0)) % 0.53/0.78 (assume @p53 (forall @t28 (=> @t52 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t50)) (or (tptp.aElementOf0 @t1 @t75) @t26))))) % 0.53/0.78 (assume @p54 (forall @t28 (=> @t52 (= @t53 (tptp.aSubsetOf0 @t74 @t75))))) % 0.53/0.78 (assume @p55 (forall @t3 (=> (and @t72 @t12) (exists @t8 (and @t51 (tptp.aSubsetOf0 @t1 @t75)))))) % 0.53/0.78 (assume @p56 (forall @t3 (=> @t49 (= (tptp.sbrdtbr0 @t74) @t1)))) % 0.53/0.78 (assume @p57 (forall @t28 (=> @t70 (forall @t21 (= (= @t18 @t76) (and @t29 (forall @t36 (= @t35 (and (tptp.aSubsetOf0 @t31 @t1) (= (tptp.sbrdtbr0 @t31) @t5)))))))))) % 0.53/0.78 (assume @p58 (forall @t3 (=> @t25 (forall @t8 (=> @t51 (tptp.isFinite0 @t76)))))) % 0.53/0.78 (assume @p59 (forall @t3 (=> (and @t2 @t15) (forall @t8 (=> @t51 (not (= @t76 tptp.slcrc0))))))) % 0.53/0.78 (assume @p60 (forall @t3 (=> @t16 (forall @t8 (=> (and @t51 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t76)))))) % 0.53/0.78 (assume @p61 (tptp.aElementOf0 tptp.xk tptp.szNzAzT0)) % 0.53/0.78 (assume @p62 (and @t77 (tptp.aSet0 tptp.xT) (not (= tptp.xk tptp.sz00)))) % 0.53/0.78 (assume @p63 (and (tptp.aSet0 @t78) @t83 (tptp.aSet0 @t84) (forall @t3 (and (=> @t85 (and @t2 @t87 @t86 @t80)) (=> (and (or (and @t2 @t87) @t86) @t80) @t85))) (forall @t3 (=> @t79 @t85)) (tptp.aSubsetOf0 @t78 @t84) (not (=> @t83 (or (not (exists @t3 @t79)) (= @t78 tptp.slcrc0)))))) % 0.53/0.78 (assume @p64 @t88) % 0.53/0.78 (assume @p65 (and @t94 @t93 (tptp.aSubsetOf0 tptp.xQ tptp.xS) @t90 (tptp.aElementOf0 tptp.xQ @t78))) % 0.53/0.78 (assume @p66 (and @t94 @t95 @t90)) % 0.53/0.78 (assume @p67 (and @t97 @t96)) % 0.53/0.78 (assume @p68 (not @t98)) % 0.53/0.78 (assume @p69 (and @t105 @t104 (tptp.aSet0 tptp.xP) @t103 (= tptp.xP @t100))) % 0.53/0.78 (assume @p70 @t113) % 0.53/0.78 (assume @p71 true) % 0.53/0.78 (step @p72 :rule evaluate :args ((= true false))) % 0.53/0.78 (step @p73 :rule and_elim :premises (@p69) :args (4)) % 0.53/0.78 (step @p74 :rule symm :premises (@p73)) % 0.53/0.78 (step @p75 :rule cong :premises (@p74) :args (@t114)) % 0.53/0.78 (step @p76 :rule eq-symm :args (@t116 @t57)) % 0.53/0.78 (step @p77 :rule refl :args (@t117)) % 0.53/0.78 (step @p78 :rule refl :args (@t118)) % 0.53/0.78 (step @p79 :rule refl :args (@t15)) % 0.53/0.78 (step @p80 :rule refl :args (@t119)) % 0.53/0.78 (step @p81 :rule nary_cong :premises (@p80 @p79 @p78 @p77 @p76) :args (@t121)) % 0.53/0.78 (step @p82 :rule aci_norm :args ((= @t123 @t121))) % 0.53/0.78 (step @p83 :rule trans :premises (@p82 @p81)) % 0.53/0.78 (step @p84 :rule cong :premises (@p83) :args (@t124)) % 0.53/0.78 (step @p85 :rule quant-merge-prenex :args ((= (forall @t3 @t126) @t124))) % 0.53/0.78 (step @p86 :rule alpha_equiv :args (@t127 (@list @t115) @t128)) % 0.53/0.78 (step @p87 :rule refl :args (@t15)) % 0.53/0.78 (step @p88 :rule refl :args (@t119)) % 0.53/0.78 (step @p89 :rule nary_cong :premises (@p88 @p87 @p86) :args (@t129)) % 0.53/0.78 (step @p90 :rule quant-miniscope-or :args ((= @t126 @t129))) % 0.53/0.78 (step @p91 :rule trans :premises (@p90 @p89)) % 0.53/0.78 (step @p92 :rule symm :premises (@p91)) % 0.53/0.78 (step @p93 :rule cong :premises (@p92) :args ((forall @t3 @t133))) % 0.53/0.78 (step @p94 :rule trans :premises (@p93 @p85)) % 0.53/0.78 (step @p95 :rule trans :premises (@p94 @p84)) % 0.53/0.78 (step @p96 :rule aci_norm :args ((= (or (or @t119 @t15) @t132) @t133))) % 0.53/0.78 (step @p97 :rule refl :args (@t132)) % 0.53/0.78 (step @p98 :rule bool-and-de-morgan :args (@t2 @t12 true)) % 0.53/0.78 (step @p99 :rule nary_cong :premises (@p98 @p97) :args ((or (not @t25) @t132))) % 0.53/0.78 (step @p100 :rule trans :premises (@p99 @p96)) % 0.53/0.78 (step @p101 :rule bool-impl-elim :args (@t25 @t132)) % 0.53/0.78 (step @p102 :rule trans :premises (@p101 @p100)) % 0.53/0.78 (step @p103 :rule cong :premises (@p102) :args ((forall @t3 (=> @t25 @t132)))) % 0.53/0.78 (step @p104 :rule trans :premises (@p103 @p95)) % 0.53/0.78 (step @p105 :rule aci_norm :args ((= (or @t130 (or @t7 @t58)) @t131))) % 0.53/0.78 (step @p106 :rule refl :args (@t58)) % 0.53/0.78 (step @p107 :rule bool-double-not-elim :args (@t7)) % 0.53/0.78 (step @p108 :rule nary_cong :premises (@p107 @p106) :args ((or (not @t59) @t58))) % 0.53/0.78 (step @p109 :rule bool-impl-elim :args (@t59 @t58)) % 0.53/0.78 (step @p110 :rule trans :premises (@p109 @p108)) % 0.53/0.78 (step @p111 :rule refl :args (@t130)) % 0.53/0.78 (step @p112 :rule nary_cong :premises (@p111 @p110) :args ((or @t130 @t60))) % 0.53/0.78 (step @p113 :rule trans :premises (@p112 @p105)) % 0.53/0.78 (step @p114 :rule bool-impl-elim :args (@t6 @t60)) % 0.53/0.78 (step @p115 :rule trans :premises (@p114 @p113)) % 0.53/0.78 (step @p116 :rule cong :premises (@p115) :args (@t61)) % 0.53/0.78 (step @p117 :rule refl :args (@t25)) % 0.53/0.78 (step @p118 :rule cong :premises (@p117 @p116) :args (@t62)) % 0.53/0.78 (step @p119 :rule cong :premises (@p118) :args (@t63)) % 0.53/0.78 (step @p120 :rule trans :premises (@p119 @p104)) % 0.53/0.78 (step @p121 :rule eq_resolve :premises (@p43 @p120)) % 0.53/0.78 (step @p122 :rule instantiate :premises (@p121) :args ((@list @t99 tptp.xx))) % 0.53/0.78 (step @p123 :rule and_elim :premises (@p69) :args (1)) % 0.53/0.78 (step @p124 :rule instantiate :premises (@p123) :args ((@list tptp.xx))) % 0.53/0.78 (step @p125 :rule cnf_and_pos :args (@t135 1)) % 0.53/0.78 (step @p126 :rule reordering :premises (@p125) :args ((or @t98 @t136))) % 0.53/0.78 (step @p127 :rule chain_m_resolution :premises (@p126 @p68) :args (@t136 @t137 (@list @t98))) % 0.53/0.78 (step @p128 :rule cnf_equiv_pos1 :args (@t139)) % 0.53/0.78 (step @p129 :rule reordering :premises (@p128) :args ((or @t135 @t140 (not @t139)))) % 0.53/0.78 (step @p130 :rule chain_m_resolution :premises (@p129 @p127 @p124) :args (@t140 @t141 (@list @t135 @t139))) % 0.53/0.78 (step @p131 :rule aci_norm :args ((= @t146 (or @t119 @t144 @t143)))) % 0.53/0.78 (step @p132 :rule cong :premises (@p131) :args (@t147)) % 0.53/0.78 (step @p133 :rule quant-merge-prenex :args ((= (forall @t3 @t149) @t147))) % 0.53/0.78 (step @p134 :rule alpha_equiv :args (@t150 (@list @t142) @t128)) % 0.53/0.78 (step @p135 :rule nary_cong :premises (@p88 @p134) :args (@t151)) % 0.53/0.78 (step @p136 :rule quant-miniscope-or :args ((= @t149 @t151))) % 0.53/0.78 (step @p137 :rule trans :premises (@p136 @p135)) % 0.53/0.78 (step @p138 :rule symm :premises (@p137)) % 0.53/0.78 (step @p139 :rule cong :premises (@p138) :args ((forall @t3 (or @t119 @t152)))) % 0.53/0.78 (step @p140 :rule trans :premises (@p139 @p133)) % 0.53/0.78 (step @p141 :rule trans :premises (@p140 @p132)) % 0.53/0.78 (step @p142 :rule bool-impl-elim :args (@t2 @t152)) % 0.53/0.78 (step @p143 :rule cong :premises (@p142) :args ((forall @t3 (=> @t2 @t152)))) % 0.53/0.78 (step @p144 :rule trans :premises (@p143 @p141)) % 0.53/0.78 (step @p145 :rule bool-impl-elim :args (@t7 @t6)) % 0.53/0.78 (step @p146 :rule cong :premises (@p145) :args (@t9)) % 0.53/0.78 (step @p147 :rule refl :args (@t2)) % 0.53/0.78 (step @p148 :rule cong :premises (@p147 @p146) :args (@t10)) % 0.53/0.78 (step @p149 :rule cong :premises (@p148) :args (@t11)) % 0.53/0.78 (step @p150 :rule trans :premises (@p149 @p144)) % 0.53/0.78 (step @p151 :rule eq_resolve :premises (@p3 @p150)) % 0.53/0.78 (step @p152 :rule instantiate :premises (@p151) :args ((@list tptp.xS tptp.xx))) % 0.53/0.78 (step @p153 :rule and_elim :premises (@p62) :args (0)) % 0.53/0.78 (step @p154 :rule cnf_or_pos :args (@t155)) % 0.53/0.78 (step @p155 :rule reordering :premises (@p154) :args ((or @t154 @t153 @t134 (not @t155)))) % 0.53/0.78 (step @p156 :rule chain_m_resolution :premises (@p155 @p153 @p64 @p152) :args (@t134 (@list false false false) (@list @t77 @t88 @t155))) % 0.53/0.78 (step @p157 :rule aci_norm :args ((= @t162 (or @t160 @t159 @t158 @t157)))) % 0.53/0.78 (step @p158 :rule cong :premises (@p157) :args (@t163)) % 0.53/0.78 (step @p159 :rule quant-merge-prenex :args ((= (forall @t3 @t165) @t163))) % 0.53/0.78 (step @p160 :rule alpha_equiv :args (@t166 (@list @t156) @t128)) % 0.53/0.78 (step @p161 :rule refl :args (@t160)) % 0.53/0.78 (step @p162 :rule nary_cong :premises (@p161 @p160) :args (@t167)) % 0.53/0.78 (step @p163 :rule quant-miniscope-or :args ((= @t165 @t167))) % 0.53/0.78 (step @p164 :rule trans :premises (@p163 @p162)) % 0.53/0.78 (step @p165 :rule symm :premises (@p164)) % 0.53/0.78 (step @p166 :rule cong :premises (@p165) :args ((forall @t3 (or @t160 @t171)))) % 0.53/0.78 (step @p167 :rule trans :premises (@p166 @p159)) % 0.53/0.78 (step @p168 :rule trans :premises (@p167 @p158)) % 0.53/0.78 (step @p169 :rule bool-impl-elim :args (@t4 @t171)) % 0.53/0.78 (step @p170 :rule cong :premises (@p169) :args ((forall @t3 (=> @t4 @t171)))) % 0.53/0.78 (step @p171 :rule trans :premises (@p170 @p168)) % 0.53/0.78 (step @p172 :rule aci_norm :args ((= (or (or @t169 @t168) @t44) @t170))) % 0.53/0.78 (step @p173 :rule refl :args (@t44)) % 0.53/0.78 (step @p174 :rule bool-and-de-morgan :args (@t22 @t24 true)) % 0.53/0.78 (step @p175 :rule nary_cong :premises (@p174 @p173) :args ((or (not @t43) @t44))) % 0.53/0.78 (step @p176 :rule trans :premises (@p175 @p172)) % 0.53/0.78 (step @p177 :rule bool-impl-elim :args (@t43 @t44)) % 0.53/0.78 (step @p178 :rule trans :premises (@p177 @p176)) % 0.53/0.78 (step @p179 :rule cong :premises (@p178) :args (@t45)) % 0.53/0.78 (step @p180 :rule refl :args (@t4)) % 0.53/0.78 (step @p181 :rule cong :premises (@p180 @p179) :args (@t46)) % 0.53/0.78 (step @p182 :rule cong :premises 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(step @p195 :rule chain_m_resolution :premises (@p194 @p192 @p191 @p156 @p130 @p122) :args (@t179 (@list false false false true false) (@list @t105 @t172 @t134 @t138 @t183))) % 0.53/0.78 (step @p196 :rule aci_norm :args ((= @t188 (or @t119 @t15 @t186 @t185)))) % 0.53/0.78 (step @p197 :rule cong :premises (@p196) :args (@t189)) % 0.53/0.78 (step @p198 :rule quant-merge-prenex :args ((= (forall @t3 @t191) @t189))) % 0.53/0.78 (step @p199 :rule alpha_equiv :args (@t192 (@list @t184) @t128)) % 0.53/0.78 (step @p200 :rule nary_cong :premises (@p88 @p87 @p199) :args (@t193)) % 0.53/0.78 (step @p201 :rule quant-miniscope-or :args ((= @t191 @t193))) % 0.53/0.78 (step @p202 :rule trans :premises (@p201 @p200)) % 0.53/0.78 (step @p203 :rule symm :premises (@p202)) % 0.53/0.78 (step @p204 :rule cong :premises (@p203) :args ((forall @t3 @t197))) % 0.53/0.78 (step @p205 :rule trans :premises (@p204 @p198)) % 0.53/0.78 (step @p206 :rule trans :premises (@p205 @p197)) % 0.53/0.78 (step @p207 :rule 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:rule bool-impl-elim :args (@t65 @t194)) % 0.53/0.78 (step @p222 :rule trans :premises (@p221 @p220)) % 0.53/0.78 (step @p223 :rule cong :premises (@p222) :args ((forall @t8 (=> @t65 @t194)))) % 0.53/0.78 (step @p224 :rule trans :premises (@p223 @p215)) % 0.53/0.78 (step @p225 :rule eq-symm :args (@t64 @t56)) % 0.53/0.78 (step @p226 :rule refl :args (@t65)) % 0.53/0.78 (step @p227 :rule cong :premises (@p226 @p225) :args (@t66)) % 0.53/0.78 (step @p228 :rule cong :premises (@p227) :args (@t67)) % 0.53/0.78 (step @p229 :rule trans :premises (@p228 @p224)) % 0.53/0.78 (step @p230 :rule cong :premises (@p147 @p229) :args (@t68)) % 0.53/0.78 (step @p231 :rule cong :premises (@p230) :args (@t69)) % 0.53/0.78 (step @p232 :rule trans :premises (@p231 @p211)) % 0.53/0.78 (step @p233 :rule eq_resolve :premises (@p44 @p232)) % 0.53/0.78 (step @p234 :rule instantiate :premises (@p233) :args ((@list tptp.xQ tptp.xy))) % 0.53/0.78 (step @p235 :rule and_elim :premises (@p67) :args (1)) % 0.53/0.78 (step @p236 :rule cnf_or_pos :args (@t203)) % 0.53/0.78 (step @p237 :rule reordering :premises (@p236) :args ((or @t174 @t173 @t202 @t201 (not @t203)))) % 0.53/0.78 (step @p238 :rule chain_m_resolution :premises (@p237 @p188 @p187 @p235 @p234) :args (@t201 @t177 (@list @t94 @t95 @t96 @t203))) % 0.53/0.78 (step @p239 :rule and_elim :premises (@p65) :args (3)) % 0.53/0.78 (step @p240 :rule symm :premises (@p239)) % 0.53/0.78 (step @p241 :rule trans :premises (@p240 @p238 @p195 @p75)) % 0.53/0.78 (step @p242 :rule refl :args (@t106)) % 0.53/0.78 (step @p243 :rule eq-symm :args (@t107 tptp.xk)) % 0.53/0.78 (step @p244 :rule refl :args (@t108)) % 0.53/0.78 (step @p245 :rule bool-impl-elim :args (@t102 @t91)) % 0.53/0.78 (step @p246 :rule cong :premises (@p245) :args (@t109)) % 0.53/0.78 (step @p247 :rule nary_cong :premises (@p246 @p244) :args (@t110)) % 0.53/0.78 (step @p248 :rule nary_cong :premises (@p247 @p243) :args (@t111)) % 0.53/0.78 (step @p249 :rule nary_cong :premises (@p248 @p242) :args (@t112)) % 0.53/0.78 (step @p250 :rule cong :premises (@p249) :args (@t113)) % 0.53/0.78 (step @p251 :rule eq_resolve :premises (@p70 @p250)) % 0.53/0.78 (step @p252 :rule not_or_elim :premises (@p251) :args (0)) % 0.53/0.78 (step @p253 :rule not_and :premises (@p252)) % 0.53/0.78 (step @p254 :rule chain_m_resolution :premises (@p253 @p241) :args ((not @t205) @t206 (@list (= tptp.xk @t107)))) % 0.53/0.78 (step @p255 :rule cnf_or_neg :args (@t205 0)) % 0.53/0.78 (step @p256 :rule chain_m_resolution :premises (@p255 @p254) :args ((not @t204) @t137 (@list @t205))) % 0.53/0.78 (step @p257 :rule skolemize :premises (@p256)) % 0.53/0.78 (step @p258 :rule cnf_or_neg :args (@t211 1)) % 0.53/0.78 (step @p259 :rule chain_m_resolution :premises (@p258 @p257) :args ((not @t208) @t137 @t212)) % 0.53/0.78 (step @p260 :rule false_intro :premises (@p259)) % 0.53/0.78 (step @p261 :rule refl :args (tptp.xS)) % 0.53/0.78 (step @p262 :rule and_elim :premises (@p69) :args (3)) % 0.53/0.78 (step @p263 :rule eq-symm :args (@t207 tptp.xx)) % 0.53/0.78 (step @p264 :rule refl :args (@t213)) % 0.53/0.78 (step @p265 :rule nary_cong :premises (@p264 @p263) :args (@t214)) % 0.53/0.78 (step @p266 :rule refl :args (@t215)) % 0.53/0.78 (step @p267 :rule nary_cong :premises (@p266 @p265) :args (@t216)) % 0.53/0.78 (step @p268 :rule refl :args (@t209)) % 0.53/0.78 (step @p269 :rule cong :premises (@p268 @p267) :args (@t217)) % 0.53/0.78 (step @p270 :rule refl :args (@t103)) % 0.53/0.78 (step @p271 :rule cong :premises (@p270 @p269) :args ((=> @t103 @t217))) % 0.53/0.78 (assume-push @p328 @t103) % 0.53/0.78 (step @p273 :rule instantiate :premises (@p262) :args (@t218)) % 0.53/0.78 (step-pop @p329 :rule scope :premises (@p273)) % 0.53/0.78 (step @p274 :rule process_scope :premises (@p329) :args (@t217)) % 0.53/0.79 (step @p276 :rule eq_resolve :premises (@p274 @p271)) % 0.53/0.79 (step @p277 :rule implies_elim :premises (@p276)) % 0.53/0.79 (step @p278 :rule chain_m_resolution :premises (@p277 @p262) :args (@t222 @t206 (@list @t103))) % 0.53/0.79 (step @p279 :rule bool-double-not-elim :args (@t209)) % 0.53/0.79 (step @p280 :rule refl :args (@t211)) % 0.53/0.79 (step @p281 :rule nary_cong :premises (@p280 @p279) :args ((or @t211 (not @t210)))) % 0.53/0.79 (step @p282 :rule cnf_or_neg :args (@t211 0)) % 0.53/0.79 (step @p283 :rule eq_resolve :premises (@p282 @p281)) % 0.53/0.79 (step @p284 :rule reordering :premises (@p283) :args ((or @t209 @t211))) % 0.53/0.79 (step @p285 :rule chain_m_resolution :premises (@p284 @p257) :args (@t209 @t137 @t212)) % 0.53/0.79 (step @p286 :rule cnf_equiv_pos1 :args (@t222)) % 0.53/0.79 (step @p287 :rule reordering :premises (@p286) :args ((or @t210 @t221 (not @t222)))) % 0.53/0.79 (step @p288 :rule chain_m_resolution :premises (@p287 @p285 @p278) :args (@t221 (@list false false) (@list @t209 @t222))) % 0.53/0.79 (step @p289 :rule cnf_and_pos :args (@t221 1)) % 0.53/0.79 (step @p290 :rule reordering :premises (@p289) :args ((or @t220 (not @t221)))) % 0.53/0.79 (step @p291 :rule chain_m_resolution :premises (@p290 @p288) :args (@t220 @t206 (@list @t221))) % 0.53/0.79 (step @p292 :rule eq-symm :args (@t207 tptp.xy)) % 0.53/0.79 (step @p293 :rule cong :premises (@p292) :args (@t223)) % 0.53/0.79 (step @p294 :rule refl :args (@t224)) % 0.53/0.79 (step @p295 :rule nary_cong :premises (@p266 @p294 @p293) :args (@t225)) % 0.53/0.79 (step @p296 :rule cong :premises (@p264 @p295) :args (@t226)) % 0.53/0.79 (step @p297 :rule refl :args (@t104)) % 0.53/0.79 (step @p298 :rule cong :premises (@p297 @p296) :args ((=> @t104 @t226))) % 0.53/0.79 (assume-push @p330 @t104) % 0.53/0.79 (step @p300 :rule instantiate :premises (@p123) :args (@t218)) % 0.53/0.79 (step-pop @p331 :rule scope :premises (@p300)) % 0.53/0.79 (step @p301 :rule process_scope :premises (@p331) :args (@t226)) % 0.53/0.79 (step @p303 :rule eq_resolve :premises (@p301 @p298)) % 0.53/0.79 (step @p304 :rule implies_elim :premises (@p303)) % 0.53/0.79 (step @p305 :rule chain_m_resolution :premises (@p304 @p123) :args (@t228 @t206 (@list @t104))) % 0.53/0.79 (step @p306 :rule bool-impl-elim :args (@t92 @t91)) % 0.53/0.79 (step @p307 :rule cong :premises (@p306) :args (@t93)) % 0.53/0.79 (step @p308 :rule and_elim :premises (@p65) :args (1)) % 0.53/0.79 (step @p309 :rule eq_resolve :premises (@p308 @p307)) % 0.53/0.79 (step @p310 :rule instantiate :premises (@p309) :args (@t218)) % 0.53/0.79 (step @p311 :rule cnf_or_pos :args (@t230)) % 0.53/0.79 (step @p312 :rule reordering :premises (@p311) :args ((or @t208 @t229 (not @t230)))) % 0.53/0.79 (step @p313 :rule chain_m_resolution :premises (@p312 @p259 @p310) :args (@t229 @t141 (@list @t208 @t230))) % 0.53/0.79 (step @p314 :rule cnf_and_pos :args (@t227 1)) % 0.53/0.79 (step @p315 :rule reordering :premises (@p314) :args ((or @t224 @t231))) % 0.53/0.79 (step @p316 :rule chain_m_resolution :premises (@p315 @p313) :args (@t231 @t137 (@list @t224))) % 0.53/0.79 (step @p317 :rule cnf_equiv_pos1 :args (@t228)) % 0.53/0.79 (step @p318 :rule reordering :premises (@p317) :args ((or @t232 @t227 (not @t228)))) % 0.53/0.79 (step @p319 :rule chain_m_resolution :premises (@p318 @p316 @p305) :args (@t232 @t141 (@list @t227 @t228))) % 0.53/0.79 (step @p320 :rule cnf_or_pos :args (@t220)) % 0.53/0.79 (step @p321 :rule reordering :premises (@p320) :args ((or @t213 @t219 (not @t220)))) % 0.53/0.79 (step @p322 :rule chain_m_resolution :premises (@p321 @p319 @p291) :args (@t219 @t141 (@list @t213 @t220))) % 0.53/0.79 (step @p323 :rule cong :premises (@p322 @p261) :args (@t88)) % 0.53/0.79 (step @p324 :rule true_intro :premises (@p64)) % 0.53/0.79 (step @p325 :rule symm :premises (@p324)) % 0.53/0.79 (step @p326 :rule trans :premises (@p325 @p323 @p260)) % 0.53/0.79 (step @p327 false :rule eq_resolve :premises (@p326 @p72)) % 0.53/0.79 ) % 0.53/0.79 % SZS output end Proof % 0.53/0.79 % cvc5 exiting %------------------------------------------------------------------------------