%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM541+2 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n013.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 08:39:46 AM UTC 2026 % Result : Theorem 5.11s 5.35s % Output : Proof 5.11s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM541+2 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n013.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Tue Jun 2 11:28:30 EDT 2026 % 0.15/0.33 % CPUTime : % 0.29/0.48 %----Proving TF0_NAR, FOF, or CNF % 5.11/5.35 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 5.11/5.35 % SZS status Theorem % 5.11/5.35 % SZS output start Proof % 5.11/5.35 ( % 5.11/5.35 (declare-sort $$unsorted 0) % 5.11/5.35 (declare-const tptp.xn $$unsorted) % 5.11/5.35 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 5.11/5.35 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 5.11/5.35 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 5.11/5.35 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 5.11/5.35 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 5.11/5.35 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 5.11/5.35 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 5.11/5.35 (declare-const tptp.xm $$unsorted) % 5.11/5.35 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 5.11/5.35 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 5.11/5.35 (declare-const tptp.slcrc0 $$unsorted) % 5.11/5.35 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 5.11/5.35 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 5.11/5.35 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 5.11/5.35 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 5.11/5.35 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 5.11/5.35 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 5.11/5.35 (declare-const tptp.szNzAzT0 $$unsorted) % 5.11/5.35 (declare-const tptp.sz00 $$unsorted) % 5.11/5.35 (define @t1 () (@var "W0" $$unsorted)) % 5.11/5.35 (define @t2 () (tptp.aSet0 @t1)) % 5.11/5.35 (define @t3 () (@list @t1)) % 5.11/5.35 (define @t4 () (tptp.aElement0 @t1)) % 5.11/5.35 (define @t5 () (@var "W1" $$unsorted)) % 5.11/5.35 (define @t6 () (tptp.aElement0 @t5)) % 5.11/5.35 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 5.11/5.35 (define @t8 () (@list @t5)) % 5.11/5.35 (define @t9 () (tptp.isFinite0 @t1)) % 5.11/5.35 (define @t10 () (= @t1 tptp.slcrc0)) % 5.11/5.35 (define @t11 () (tptp.isCountable0 @t1)) % 5.11/5.35 (define @t12 () (and @t2 @t11)) % 5.11/5.35 (define @t13 () (not @t10)) % 5.11/5.35 (define @t14 () (@var "W2" $$unsorted)) % 5.11/5.35 (define @t15 () (tptp.aElementOf0 @t14 @t1)) % 5.11/5.35 (define @t16 () (tptp.aElementOf0 @t14 @t5)) % 5.11/5.35 (define @t17 () (@list @t14)) % 5.11/5.35 (define @t18 () (tptp.aSet0 @t5)) % 5.11/5.35 (define @t19 () (tptp.aSubsetOf0 @t5 @t1)) % 5.11/5.35 (define @t20 () (tptp.isFinite0 @t5)) % 5.11/5.35 (define @t21 () (and @t2 @t9)) % 5.11/5.35 (define @t22 () (= @t1 @t5)) % 5.11/5.35 (define @t23 () (tptp.aSubsetOf0 @t1 @t5)) % 5.11/5.35 (define @t24 () (@list @t1 @t5)) % 5.11/5.35 (define @t25 () (tptp.aSet0 @t14)) % 5.11/5.35 (define @t26 () (@list @t1 @t5 @t14)) % 5.11/5.35 (define @t27 () (@var "W3" $$unsorted)) % 5.11/5.35 (define @t28 () (= @t27 @t5)) % 5.11/5.35 (define @t29 () (tptp.aElementOf0 @t27 @t1)) % 5.11/5.35 (define @t30 () (tptp.aElement0 @t27)) % 5.11/5.35 (define @t31 () (tptp.aElementOf0 @t27 @t14)) % 5.11/5.35 (define @t32 () (@list @t27)) % 5.11/5.35 (define @t33 () (tptp.sdtpldt0 @t1 @t5)) % 5.11/5.35 (define @t34 () (and @t2 @t6)) % 5.11/5.35 (define @t35 () (tptp.sdtmndt0 @t1 @t5)) % 5.11/5.35 (define @t36 () (tptp.sdtpldt0 @t5 @t1)) % 5.11/5.35 (define @t37 () (and @t18 (tptp.isCountable0 @t5))) % 5.11/5.35 (define @t38 () (tptp.sdtmndt0 @t5 @t1)) % 5.11/5.35 (define @t39 () (and @t18 @t20)) % 5.11/5.35 (define @t40 () (tptp.szszuzczcdt0 @t1)) % 5.11/5.35 (define @t41 () (not (= @t40 tptp.sz00))) % 5.11/5.35 (define @t42 () (tptp.aElementOf0 @t40 tptp.szNzAzT0)) % 5.11/5.35 (define @t43 () (and @t42 @t41)) % 5.11/5.35 (define @t44 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 5.11/5.35 (define @t45 () (=> @t44 @t43)) % 5.11/5.35 (define @t46 () (forall @t3 @t45)) % 5.11/5.35 (define @t47 () (tptp.szszuzczcdt0 @t5)) % 5.11/5.35 (define @t48 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 5.11/5.35 (define @t49 () (and @t44 @t48)) % 5.11/5.35 (define @t50 () (= @t1 @t47)) % 5.11/5.35 (define @t51 () (and @t48 @t50)) % 5.11/5.35 (define @t52 () (exists @t8 @t51)) % 5.11/5.35 (define @t53 () (= @t1 tptp.sz00)) % 5.11/5.35 (define @t54 () (or @t53 @t52)) % 5.11/5.35 (define @t55 () (=> @t44 @t54)) % 5.11/5.35 (define @t56 () (forall @t3 @t55)) % 5.11/5.35 (define @t57 () (not (= @t1 @t40))) % 5.11/5.35 (define @t58 () (forall @t3 (=> @t44 @t57))) % 5.11/5.35 (define @t59 () (tptp.sdtlseqdt0 @t1 @t5)) % 5.11/5.35 (define @t60 () (= @t59 (tptp.sdtlseqdt0 @t40 @t47))) % 5.11/5.35 (define @t61 () (forall @t24 (=> @t49 @t60))) % 5.11/5.35 (define @t62 () (tptp.sdtlseqdt0 @t1 @t40)) % 5.11/5.35 (define @t63 () (forall @t3 (=> @t44 @t62))) % 5.11/5.35 (define @t64 () (tptp.sdtlseqdt0 @t5 @t1)) % 5.11/5.35 (define @t65 () (and @t59 @t64)) % 5.11/5.35 (define @t66 () (=> @t65 @t22)) % 5.11/5.35 (define @t67 () (forall @t24 (=> @t49 @t66))) % 5.11/5.35 (define @t68 () (tptp.sdtlseqdt0 @t1 @t14)) % 5.11/5.35 (define @t69 () (tptp.sdtlseqdt0 @t5 @t14)) % 5.11/5.35 (define @t70 () (and @t59 @t69)) % 5.11/5.35 (define @t71 () (=> @t70 @t68)) % 5.11/5.35 (define @t72 () (tptp.aElementOf0 @t14 tptp.szNzAzT0)) % 5.11/5.35 (define @t73 () (and @t44 @t48 @t72)) % 5.11/5.35 (define @t74 () (forall @t26 (=> @t73 @t71))) % 5.11/5.35 (define @t75 () (tptp.sdtlseqdt0 @t47 @t1)) % 5.11/5.35 (define @t76 () (or @t59 @t75)) % 5.11/5.35 (define @t77 () (forall @t24 (=> @t49 @t76))) % 5.11/5.35 (define @t78 () (tptp.sbrdtbr0 @t1)) % 5.11/5.35 (define @t79 () (tptp.szmzizndt0 @t1)) % 5.11/5.35 (define @t80 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 5.11/5.35 (define @t81 () (tptp.szmzizndt0 @t5)) % 5.11/5.35 (define @t82 () (tptp.slbdtrb0 @t1)) % 5.11/5.35 (define @t83 () (tptp.aElementOf0 tptp.xn tptp.szNzAzT0)) % 5.11/5.35 (define @t84 () (tptp.aElementOf0 tptp.xm tptp.szNzAzT0)) % 5.11/5.35 (define @t85 () (tptp.szszuzczcdt0 tptp.xn)) % 5.11/5.35 (define @t86 () (tptp.aElementOf0 tptp.xm (tptp.slbdtrb0 @t85))) % 5.11/5.35 (define @t87 () (tptp.szszuzczcdt0 tptp.xm)) % 5.11/5.35 (define @t88 () (tptp.sdtlseqdt0 @t87 @t85)) % 5.11/5.35 (define @t89 () (or @t88 @t86)) % 5.11/5.35 (define @t90 () (= tptp.xm tptp.xn)) % 5.11/5.35 (define @t91 () (tptp.aElementOf0 tptp.xm (tptp.slbdtrb0 tptp.xn))) % 5.11/5.35 (define @t92 () (tptp.sdtlseqdt0 @t87 tptp.xn)) % 5.11/5.35 (define @t93 () (and @t92 @t91)) % 5.11/5.35 (define @t94 () (or @t93 @t90)) % 5.11/5.35 (define @t95 () (=> @t94 @t89)) % 5.11/5.35 (define @t96 () (or @t92 @t91 @t90)) % 5.11/5.35 (define @t97 () (and @t88 @t86)) % 5.11/5.35 (define @t98 () (=> @t97 @t96)) % 5.11/5.35 (define @t99 () (not @t64)) % 5.11/5.35 (define @t100 () (not @t59)) % 5.11/5.35 (define @t101 () (not @t48)) % 5.11/5.35 (define @t102 () (not @t44)) % 5.11/5.35 (define @t103 () (or @t102 @t101 @t100 @t99 @t22)) % 5.11/5.35 (define @t104 () (or @t100 @t99 @t22)) % 5.11/5.35 (define @t105 () (or @t102 @t101)) % 5.11/5.35 (define @t106 () (not @t49)) % 5.11/5.35 (define @t107 () (or @t102 @t101 @t60)) % 5.11/5.35 (define @t108 () (tptp.sdtlseqdt0 tptp.xm tptp.xn)) % 5.11/5.35 (define @t109 () (not @t83)) % 5.11/5.35 (define @t110 () (not @t84)) % 5.11/5.35 (define @t111 () (or @t110 @t109 (= @t108 @t88))) % 5.11/5.35 (define @t112 () (forall @t24 @t107)) % 5.11/5.35 (define @t113 () (@list tptp.xm tptp.xn)) % 5.11/5.35 (define @t114 () (= @t88 @t108)) % 5.11/5.35 (define @t115 () (or @t110 @t109 @t114)) % 5.11/5.35 (define @t116 () (@list false)) % 5.11/5.35 (define @t117 () (@list @t112)) % 5.11/5.35 (define @t118 () (@list false false false)) % 5.11/5.35 (define @t119 () (and @t42 (not (= tptp.sz00 @t40)))) % 5.11/5.35 (define @t120 () (@list tptp.xn)) % 5.11/5.35 (define @t121 () (= tptp.sz00 @t85)) % 5.11/5.35 (define @t122 () (not @t121)) % 5.11/5.35 (define @t123 () (tptp.aElementOf0 @t85 tptp.szNzAzT0)) % 5.11/5.35 (define @t124 () (and @t123 @t122)) % 5.11/5.35 (define @t125 () (or @t109 @t124)) % 5.11/5.35 (define @t126 () (@list false false)) % 5.11/5.35 (define @t127 () (not @t124)) % 5.11/5.35 (define @t128 () (@list @t124)) % 5.11/5.35 (define @t129 () (tptp.sdtlseqdt0 @t85 tptp.xm)) % 5.11/5.35 (define @t130 () (not @t123)) % 5.11/5.35 (define @t131 () (or @t130 @t110 @t129 @t88)) % 5.11/5.35 (define @t132 () (tptp.sdtlseqdt0 tptp.xn @t85)) % 5.11/5.35 (define @t133 () (or @t109 @t132)) % 5.11/5.35 (define @t134 () (tptp.aElementOf0 @t87 tptp.szNzAzT0)) % 5.11/5.35 (define @t135 () (and @t134 (not (= tptp.sz00 @t87)))) % 5.11/5.35 (define @t136 () (or @t110 @t135)) % 5.11/5.35 (define @t137 () (not @t69)) % 5.11/5.35 (define @t138 () (not @t72)) % 5.11/5.35 (define @t139 () (or @t100 @t137 @t68)) % 5.11/5.35 (define @t140 () (or @t102 @t101 @t138)) % 5.11/5.35 (define @t141 () (not @t132)) % 5.11/5.35 (define @t142 () (not @t92)) % 5.11/5.35 (define @t143 () (not @t134)) % 5.11/5.35 (define @t144 () (or @t143 @t109 @t130 @t142 @t141 @t88)) % 5.11/5.35 (define @t145 () (not (forall @t8 (or @t101 (not @t50))))) % 5.11/5.35 (define @t146 () (or @t102 @t53 @t145)) % 5.11/5.35 (define @t147 () (or @t53 @t145)) % 5.11/5.35 (define @t148 () (forall @t8 (not @t51))) % 5.11/5.35 (define @t149 () (not @t148)) % 5.11/5.35 (define @t150 () (not (= @t85 @t47))) % 5.11/5.35 (define @t151 () (or @t101 @t150)) % 5.11/5.35 (define @t152 () (forall @t8 @t151)) % 5.11/5.35 (define @t153 () (not @t152)) % 5.11/5.35 (define @t154 () (or @t130 (= @t85 tptp.sz00) @t153)) % 5.11/5.35 (define @t155 () (forall @t3 @t146)) % 5.11/5.35 (define @t156 () (forall @t8 (or @t101 (not (= @t47 @t85))))) % 5.11/5.35 (define @t157 () (not @t156)) % 5.11/5.35 (define @t158 () (or @t130 @t121 @t157)) % 5.11/5.35 (define @t159 () (@quantifiers_skolemize @t156 0)) % 5.11/5.35 (define @t160 () (tptp.szszuzczcdt0 @t159)) % 5.11/5.35 (define @t161 () (= @t85 @t160)) % 5.11/5.35 (define @t162 () (not @t161)) % 5.11/5.35 (define @t163 () (not (tptp.aElementOf0 @t159 tptp.szNzAzT0))) % 5.11/5.35 (define @t164 () (or @t163 @t162)) % 5.11/5.35 (define @t165 () (not @t164)) % 5.11/5.35 (define @t166 () (not (= @t160 @t85))) % 5.11/5.35 (define @t167 () (or @t163 @t166)) % 5.11/5.35 (define @t168 () (not @t167)) % 5.11/5.35 (define @t169 () (@list true)) % 5.11/5.35 (define @t170 () (= tptp.xn @t85)) % 5.11/5.35 (define @t171 () (not @t170)) % 5.11/5.35 (define @t172 () (or @t109 @t171)) % 5.11/5.35 (define @t173 () (tptp.sdtlseqdt0 @t85 tptp.xn)) % 5.11/5.35 (define @t174 () (not @t173)) % 5.11/5.35 (define @t175 () (or @t109 @t130 @t141 @t174 @t170)) % 5.11/5.35 (define @t176 () (not @t129)) % 5.11/5.35 (define @t177 () (not @t90)) % 5.11/5.35 (define @t178 () (and @t174 @t161 @t90 @t129)) % 5.11/5.35 (define @t179 () (@list @t98)) % 5.11/5.35 (define @t180 () (tptp.sdtlseqdt0 tptp.xn tptp.xm)) % 5.11/5.35 (define @t181 () (tptp.sdtlseqdt0 @t85 @t87)) % 5.11/5.35 (define @t182 () (or @t109 @t110 (= @t180 @t181))) % 5.11/5.35 (define @t183 () (= @t181 @t180)) % 5.11/5.35 (define @t184 () (or @t109 @t110 @t183)) % 5.11/5.35 (define @t185 () (@list @t96)) % 5.11/5.35 (define @t186 () (or @t143 @t109 @t92 @t181)) % 5.11/5.35 (define @t187 () (not @t180)) % 5.11/5.35 (define @t188 () (not @t108)) % 5.11/5.35 (define @t189 () (or @t110 @t109 @t188 @t187 @t90)) % 5.11/5.35 (define @t190 () (not @t189)) % 5.11/5.35 (define @t191 () (forall @t24 @t103)) % 5.11/5.35 (assume @p1 (forall @t3 (=> @t2 true))) % 5.11/5.35 (assume @p2 (forall @t3 (=> @t4 true))) % 5.11/5.35 (assume @p3 (forall @t3 (=> @t2 (forall @t8 (=> @t7 @t6))))) % 5.11/5.35 (assume @p4 (forall @t3 (=> @t2 (=> @t9 true)))) % 5.11/5.35 (assume @p5 (forall @t3 (= @t10 (and @t2 (not (exists @t8 @t7)))))) % 5.11/5.35 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 5.11/5.35 (assume @p7 (forall @t3 (=> @t2 (=> @t11 true)))) % 5.11/5.35 (assume @p8 (forall @t3 (=> @t12 (not @t9)))) % 5.11/5.35 (assume @p9 (forall @t3 (=> @t12 @t13))) % 5.11/5.35 (assume @p10 (forall @t3 (=> @t2 (forall @t8 (= @t19 (and @t18 (forall @t17 (=> @t16 @t15)))))))) % 5.11/5.35 (assume @p11 (forall @t3 (=> @t21 (forall @t8 (=> @t19 @t20))))) % 5.11/5.35 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 5.11/5.35 (assume @p13 (forall @t24 (=> (and @t2 @t18) (=> (and @t23 @t19) @t22)))) % 5.11/5.35 (assume @p14 (forall @t26 (=> (and @t2 @t18 @t25) (=> (and @t23 (tptp.aSubsetOf0 @t5 @t14)) (tptp.aSubsetOf0 @t1 @t14))))) % 5.11/5.35 (assume @p15 (forall @t24 (=> @t34 (forall @t17 (= (= @t14 @t33) (and @t25 (forall @t32 (= @t31 (and @t30 (or @t29 @t28)))))))))) % 5.11/5.35 (assume @p16 (forall @t24 (=> @t34 (forall @t17 (= (= @t14 @t35) (and @t25 (forall @t32 (= @t31 (and @t30 @t29 (not @t28)))))))))) % 5.11/5.35 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t35 @t5) @t1)))))) % 5.11/5.35 (assume @p18 (forall @t24 (=> (and @t4 @t18) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t36 @t1) @t5))))) % 5.11/5.35 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t37 (tptp.isCountable0 @t36)))))) % 5.11/5.35 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t37 (tptp.isCountable0 @t38)))))) % 5.11/5.35 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t39 (tptp.isFinite0 @t36)))))) % 5.11/5.35 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t39 (tptp.isFinite0 @t38)))))) % 5.11/5.35 (assume @p23 (and (tptp.aSet0 tptp.szNzAzT0) (tptp.isCountable0 tptp.szNzAzT0))) % 5.11/5.35 (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 5.11/5.35 (assume @p25 @t46) % 5.11/5.35 (assume @p26 (forall @t24 (=> @t49 (=> (= @t40 @t47) @t22)))) % 5.11/5.35 (assume @p27 @t56) % 5.11/5.35 (assume @p28 @t58) % 5.11/5.35 (assume @p29 (forall @t24 (=> @t49 (=> @t59 true)))) % 5.11/5.35 (assume @p30 (forall @t3 (=> @t44 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 5.11/5.35 (assume @p31 (forall @t3 (=> @t44 (not (tptp.sdtlseqdt0 @t40 tptp.sz00))))) % 5.11/5.35 (assume @p32 @t61) % 5.11/5.35 (assume @p33 @t63) % 5.11/5.35 (assume @p34 (forall @t3 (=> @t44 (tptp.sdtlseqdt0 @t1 @t1)))) % 5.11/5.35 (assume @p35 @t67) % 5.11/5.35 (assume @p36 @t74) % 5.11/5.35 (assume @p37 @t77) % 5.11/5.35 (assume @p38 (forall @t24 (=> @t49 (=> (tptp.iLess0 @t1 @t5) true)))) % 5.11/5.35 (assume @p39 (forall @t3 (=> @t44 (tptp.iLess0 @t1 @t40)))) % 5.11/5.35 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t78)))) % 5.11/5.35 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t78 tptp.szNzAzT0) @t9)))) % 5.11/5.35 (assume @p42 (forall @t3 (=> @t2 (= (= @t78 tptp.sz00) @t10)))) % 5.11/5.35 (assume @p43 (forall @t3 (=> @t21 (forall @t8 (=> @t6 (=> (not @t7) (= (tptp.sbrdtbr0 @t33) (tptp.szszuzczcdt0 @t78)))))))) % 5.11/5.35 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t35)) @t78)))))) % 5.11/5.35 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t19) (tptp.sdtlseqdt0 (tptp.sbrdtbr0 @t5) @t78)))))) % 5.11/5.35 (assume @p46 (forall @t24 (=> (and @t2 @t48) (=> (and @t9 (tptp.sdtlseqdt0 @t5 @t78)) (exists @t17 (and (tptp.aSubsetOf0 @t14 @t1) (= (tptp.sbrdtbr0 @t14) @t5))))))) % 5.11/5.35 (assume @p47 (forall @t3 (=> (and @t80 @t13) (forall @t8 (= (= @t5 @t79) (and @t7 (forall @t17 (=> @t15 @t69)))))))) % 5.11/5.35 (assume @p48 (forall @t3 (=> (and @t80 @t9 @t13) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t17 (=> @t15 (tptp.sdtlseqdt0 @t14 @t5))))))))) % 5.11/5.35 (assume @p49 (forall @t24 (=> (and @t80 (tptp.aSubsetOf0 @t5 tptp.szNzAzT0) @t13 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t79 @t5) (tptp.aElementOf0 @t81 @t1)) (= @t79 @t81))))) % 5.11/5.35 (assume @p50 (forall @t3 (=> @t44 (forall @t8 (= (= @t5 @t82) (and @t18 (forall @t17 (= @t16 (and @t72 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t14) @t1)))))))))) % 5.11/5.35 (assume @p51 (forall @t3 (=> @t44 (tptp.isFinite0 @t82)))) % 5.11/5.35 (assume @p52 (= (tptp.slbdtrb0 tptp.sz00) tptp.slcrc0)) % 5.11/5.35 (assume @p53 (and @t84 @t83)) % 5.11/5.35 (assume @p54 (not (and @t98 @t95))) % 5.11/5.35 (assume @p55 true) % 5.11/5.35 (step @p56 :rule aci_norm :args ((= (or @t105 @t104) @t103))) % 5.11/5.35 (step @p57 :rule aci_norm :args ((= (or (or @t100 @t99) @t22) @t104))) % 5.11/5.35 (step @p58 :rule refl :args (@t22)) % 5.11/5.35 (step @p59 :rule bool-and-de-morgan :args (@t59 @t64 true)) % 5.11/5.35 (step @p60 :rule nary_cong :premises (@p59 @p58) :args ((or (not @t65) @t22))) % 5.11/5.35 (step @p61 :rule trans :premises (@p60 @p57)) % 5.11/5.35 (step @p62 :rule bool-impl-elim :args (@t65 @t22)) % 5.11/5.35 (step @p63 :rule trans :premises (@p62 @p61)) % 5.11/5.35 (step @p64 :rule bool-and-de-morgan :args (@t44 @t48 true)) % 5.11/5.35 (step @p65 :rule nary_cong :premises (@p64 @p63) :args ((or @t106 @t66))) % 5.11/5.35 (step @p66 :rule trans :premises (@p65 @p56)) % 5.11/5.35 (step @p67 :rule bool-impl-elim :args (@t49 @t66)) % 5.11/5.35 (step @p68 :rule trans :premises (@p67 @p66)) % 5.11/5.35 (step @p69 :rule cong :premises (@p68) :args (@t67)) % 5.11/5.35 (step @p70 :rule eq_resolve :premises (@p35 @p69)) % 5.11/5.35 (step @p71 :rule aci_norm :args ((= (or @t105 @t60) @t107))) % 5.11/5.35 (step @p72 :rule refl :args (@t60)) % 5.11/5.35 (step @p73 :rule nary_cong :premises (@p64 @p72) :args ((or @t106 @t60))) % 5.11/5.35 (step @p74 :rule trans :premises (@p73 @p71)) % 5.11/5.35 (step @p75 :rule bool-impl-elim :args (@t49 @t60)) % 5.11/5.35 (step @p76 :rule trans :premises (@p75 @p74)) % 5.11/5.35 (step @p77 :rule cong :premises (@p76) :args (@t61)) % 5.11/5.35 (step @p78 :rule eq_resolve :premises (@p32 @p77)) % 5.11/5.35 (step @p79 :rule eq-symm :args (@t108 @t88)) % 5.11/5.35 (step @p80 :rule refl :args (@t109)) % 5.11/5.35 (step @p81 :rule refl :args (@t110)) % 5.11/5.35 (step @p82 :rule nary_cong :premises (@p81 @p80 @p79) :args (@t111)) % 5.11/5.35 (step @p83 :rule refl :args (@t112)) % 5.11/5.35 (step @p84 :rule cong :premises (@p83 @p82) :args ((=> @t112 @t111))) % 5.11/5.35 (assume-push @p332 @t112) % 5.11/5.35 (step @p86 :rule instantiate :premises (@p78) :args (@t113)) % 5.11/5.35 (step-pop @p333 :rule scope :premises (@p86)) % 5.11/5.35 (step @p87 :rule process_scope :premises (@p333) :args (@t111)) % 5.11/5.35 (step @p89 :rule eq_resolve :premises (@p87 @p84)) % 5.11/5.35 (step @p90 :rule implies_elim :premises (@p89)) % 5.11/5.35 (step @p91 :rule chain_m_resolution :premises (@p90 @p78) :args (@t115 @t116 @t117)) % 5.11/5.35 (step @p92 :rule and_elim :premises (@p53) :args (1)) % 5.11/5.35 (step @p93 :rule and_elim :premises (@p53) :args (0)) % 5.11/5.35 (step @p94 :rule cnf_or_pos :args (@t115)) % 5.11/5.35 (step @p95 :rule reordering :premises (@p94) :args ((or @t110 @t109 @t114 (not @t115)))) % 5.11/5.35 (step @p96 :rule chain_m_resolution :premises (@p95 @p93 @p92 @p91) :args (@t114 @t118 (@list @t84 @t83 @t115))) % 5.11/5.35 (step @p97 :rule cnf_implies_neg1 :args (@t95)) % 5.11/5.35 (step @p98 :rule reordering :premises (@p97) :args ((or @t94 @t95))) % 5.11/5.35 (step @p99 :rule cnf_implies_neg2 :args (@t95)) % 5.11/5.35 (step @p100 :rule cnf_or_neg :args (@t89 0)) % 5.11/5.35 (step @p101 :rule bool-impl-elim :args (@t44 @t119)) % 5.11/5.35 (step @p102 :rule cong :premises (@p101) :args ((forall @t3 (=> @t44 @t119)))) % 5.11/5.35 (step @p103 :rule eq-symm :args (@t40 tptp.sz00)) % 5.11/5.35 (step @p104 :rule cong :premises (@p103) :args (@t41)) % 5.11/5.35 (step @p105 :rule refl :args (@t42)) % 5.11/5.35 (step @p106 :rule nary_cong :premises (@p105 @p104) :args (@t43)) % 5.11/5.35 (step @p107 :rule refl :args (@t44)) % 5.11/5.35 (step @p108 :rule cong :premises (@p107 @p106) :args (@t45)) % 5.11/5.35 (step @p109 :rule cong :premises (@p108) :args (@t46)) % 5.11/5.35 (step @p110 :rule trans :premises (@p109 @p102)) % 5.11/5.35 (step @p111 :rule eq_resolve :premises (@p25 @p110)) % 5.11/5.35 (step @p112 :rule instantiate :premises (@p111) :args (@t120)) % 5.11/5.35 (step @p113 :rule cnf_or_pos :args (@t125)) % 5.11/5.35 (step @p114 :rule reordering :premises (@p113) :args ((or @t109 @t124 (not @t125)))) % 5.11/5.35 (step @p115 :rule chain_m_resolution :premises (@p114 @p92 @p112) :args (@t124 @t126 (@list @t83 @t125))) % 5.11/5.35 (step @p116 :rule cnf_and_pos :args (@t124 0)) % 5.11/5.35 (step @p117 :rule reordering :premises (@p116) :args ((or @t123 @t127))) % 5.11/5.35 (step @p118 :rule chain_m_resolution :premises (@p117 @p115) :args (@t123 @t116 @t128)) % 5.11/5.35 (step @p119 :rule aci_norm :args ((= (or @t105 @t76) (or @t102 @t101 @t59 @t75)))) % 5.11/5.35 (step @p120 :rule refl :args (@t76)) % 5.11/5.35 (step @p121 :rule nary_cong :premises (@p64 @p120) :args ((or @t106 @t76))) % 5.11/5.35 (step @p122 :rule trans :premises (@p121 @p119)) % 5.11/5.35 (step @p123 :rule bool-impl-elim :args (@t49 @t76)) % 5.11/5.35 (step @p124 :rule trans :premises (@p123 @p122)) % 5.11/5.35 (step @p125 :rule cong :premises (@p124) :args (@t77)) % 5.11/5.35 (step @p126 :rule eq_resolve :premises (@p37 @p125)) % 5.11/5.35 (step @p127 :rule instantiate :premises (@p126) :args ((@list @t85 tptp.xm))) % 5.11/5.35 (step @p128 :rule cnf_or_pos :args (@t131)) % 5.11/5.35 (step @p129 :rule reordering :premises (@p128) :args ((or @t88 @t110 @t130 @t129 (not @t131)))) % 5.11/5.35 (step @p130 :rule bool-impl-elim :args (@t44 @t62)) % 5.11/5.35 (step @p131 :rule cong :premises (@p130) :args (@t63)) % 5.11/5.35 (step @p132 :rule eq_resolve :premises (@p33 @p131)) % 5.11/5.35 (step @p133 :rule instantiate :premises (@p132) :args (@t120)) % 5.11/5.35 (step @p134 :rule cnf_or_pos :args (@t133)) % 5.11/5.35 (step @p135 :rule reordering :premises (@p134) :args ((or @t109 @t132 (not @t133)))) % 5.11/5.35 (step @p136 :rule chain_m_resolution :premises (@p135 @p92 @p133) :args (@t132 @t126 (@list @t83 @t133))) % 5.11/5.35 (step @p137 :rule instantiate :premises (@p111) :args ((@list tptp.xm))) % 5.11/5.35 (step @p138 :rule cnf_or_pos :args (@t136)) % 5.11/5.35 (step @p139 :rule reordering :premises (@p138) :args ((or @t110 @t135 (not @t136)))) % 5.11/5.35 (step @p140 :rule chain_m_resolution :premises (@p139 @p93 @p137) :args (@t135 @t126 (@list @t84 @t136))) % 5.11/5.35 (step @p141 :rule cnf_and_pos :args (@t135 0)) % 5.11/5.35 (step @p142 :rule reordering :premises (@p141) :args ((or @t134 (not @t135)))) % 5.11/5.35 (step @p143 :rule chain_m_resolution :premises (@p142 @p140) :args (@t134 @t116 (@list @t135))) % 5.11/5.35 (step @p144 :rule aci_norm :args ((= (or @t140 @t139) (or @t102 @t101 @t138 @t100 @t137 @t68)))) % 5.11/5.35 (step @p145 :rule aci_norm :args ((= (or (or @t100 @t137) @t68) @t139))) % 5.11/5.35 (step @p146 :rule refl :args (@t68)) % 5.11/5.35 (step @p147 :rule bool-and-de-morgan :args (@t59 @t69 true)) % 5.11/5.35 (step @p148 :rule nary_cong :premises (@p147 @p146) :args ((or (not @t70) @t68))) % 5.11/5.35 (step @p149 :rule trans :premises (@p148 @p145)) % 5.11/5.35 (step @p150 :rule bool-impl-elim :args (@t70 @t68)) % 5.11/5.35 (step @p151 :rule trans :premises (@p150 @p149)) % 5.11/5.35 (step @p152 :rule aci_norm :args ((= (or @t102 (or @t101 @t138)) @t140))) % 5.11/5.35 (step @p153 :rule bool-and-de-morgan :args (@t48 @t72 true)) % 5.11/5.35 (step @p154 :rule refl :args (@t102)) % 5.11/5.35 (step @p155 :rule nary_cong :premises (@p154 @p153) :args ((or @t102 (not (and @t48 @t72))))) % 5.11/5.35 (step @p156 :rule bool-and-de-morgan :args (@t44 @t48 (and @t72))) % 5.11/5.35 (step @p157 :rule trans :premises (@p156 @p155)) % 5.11/5.35 (step @p158 :rule trans :premises (@p157 @p152)) % 5.11/5.35 (step @p159 :rule nary_cong :premises (@p158 @p151) :args ((or (not @t73) @t71))) % 5.11/5.35 (step @p160 :rule trans :premises (@p159 @p144)) % 5.11/5.35 (step @p161 :rule bool-impl-elim :args (@t73 @t71)) % 5.11/5.35 (step @p162 :rule trans :premises (@p161 @p160)) % 5.11/5.35 (step @p163 :rule cong :premises (@p162) :args (@t74)) % 5.11/5.35 (step @p164 :rule eq_resolve :premises (@p36 @p163)) % 5.11/5.35 (step @p165 :rule instantiate :premises (@p164) :args ((@list @t87 tptp.xn @t85))) % 5.11/5.35 (step @p166 :rule cnf_or_pos :args (@t144)) % 5.11/5.35 (step @p167 :rule reordering :premises (@p166) :args ((or @t88 @t109 @t142 @t130 @t143 @t141 (not @t144)))) % 5.11/5.35 (step @p168 :rule cnf_and_pos :args (@t93 0)) % 5.11/5.35 (step @p169 :rule reordering :premises (@p168) :args ((or @t92 (not @t93)))) % 5.11/5.35 (step @p170 :rule cnf_or_pos :args (@t94)) % 5.11/5.35 (step @p171 :rule reordering :premises (@p170) :args ((or @t90 @t93 (not @t94)))) % 5.11/5.35 (step @p172 :rule aci_norm :args ((= (or @t102 @t147) @t146))) % 5.11/5.35 (step @p173 :rule bool-impl-elim :args (@t44 @t147)) % 5.11/5.35 (step @p174 :rule trans :premises (@p173 @p172)) % 5.11/5.35 (step @p175 :rule cong :premises (@p174) :args ((forall @t3 (=> @t44 @t147)))) % 5.11/5.35 (step @p176 :rule bool-and-de-morgan :args (@t48 @t50 true)) % 5.11/5.35 (step @p177 :rule cong :premises (@p176) :args (@t148)) % 5.11/5.35 (step @p178 :rule cong :premises (@p177) :args (@t149)) % 5.11/5.35 (step @p179 :rule exists-elim :args ((= @t52 @t149))) % 5.11/5.35 (step @p180 :rule trans :premises (@p179 @p178)) % 5.11/5.35 (step @p181 :rule refl :args (@t53)) % 5.11/5.35 (step @p182 :rule nary_cong :premises (@p181 @p180) :args (@t54)) % 5.11/5.35 (step @p183 :rule cong :premises (@p107 @p182) :args (@t55)) % 5.11/5.35 (step @p184 :rule cong :premises (@p183) :args (@t56)) % 5.11/5.35 (step @p185 :rule trans :premises (@p184 @p175)) % 5.11/5.35 (step @p186 :rule eq_resolve :premises (@p27 @p185)) % 5.11/5.35 (step @p187 :rule eq-symm :args (@t85 @t47)) % 5.11/5.35 (step @p188 :rule cong :premises (@p187) :args (@t150)) % 5.11/5.35 (step @p189 :rule refl :args (@t101)) % 5.11/5.35 (step @p190 :rule nary_cong :premises (@p189 @p188) :args (@t151)) % 5.11/5.35 (step @p191 :rule cong :premises (@p190) :args (@t152)) % 5.11/5.35 (step @p192 :rule cong :premises (@p191) :args (@t153)) % 5.11/5.35 (step @p193 :rule eq-symm :args (@t85 tptp.sz00)) % 5.11/5.35 (step @p194 :rule refl :args (@t130)) % 5.11/5.35 (step @p195 :rule nary_cong :premises (@p194 @p193 @p192) :args (@t154)) % 5.11/5.35 (step @p196 :rule refl :args (@t155)) % 5.11/5.35 (step @p197 :rule cong :premises (@p196 @p195) :args ((=> @t155 @t154))) % 5.11/5.35 (assume-push @p334 @t155) % 5.11/5.35 (step @p199 :rule instantiate :premises (@p186) :args ((@list @t85))) % 5.11/5.35 (step-pop @p335 :rule scope :premises (@p199)) % 5.11/5.35 (step @p200 :rule process_scope :premises (@p335) :args (@t154)) % 5.11/5.35 (step @p202 :rule eq_resolve :premises (@p200 @p197)) % 5.11/5.35 (step @p203 :rule implies_elim :premises (@p202)) % 5.11/5.35 (step @p204 :rule chain_m_resolution :premises (@p203 @p186) :args (@t158 @t116 (@list @t155))) % 5.11/5.35 (step @p205 :rule cnf_and_pos :args (@t124 1)) % 5.11/5.35 (step @p206 :rule reordering :premises (@p205) :args ((or @t122 @t127))) % 5.11/5.35 (step @p207 :rule chain_m_resolution :premises (@p206 @p115) :args (@t122 @t116 @t128)) % 5.11/5.35 (step @p208 :rule cnf_or_pos :args (@t158)) % 5.11/5.35 (step @p209 :rule reordering :premises (@p208) :args ((or @t121 @t130 @t157 (not @t158)))) % 5.11/5.35 (step @p210 :rule chain_m_resolution :premises (@p209 @p207 @p118 @p204) :args (@t157 (@list true false false) (@list @t121 @t123 @t158))) % 5.11/5.35 (step @p211 :rule refl :args (@t165)) % 5.11/5.35 (step @p212 :rule bool-double-not-elim :args (@t156)) % 5.11/5.35 (step @p213 :rule nary_cong :premises (@p212 @p211) :args ((or (not @t157) @t165))) % 5.11/5.35 (step @p214 :rule eq-symm :args (@t160 @t85)) % 5.11/5.35 (step @p215 :rule cong :premises (@p214) :args (@t166)) % 5.11/5.35 (step @p216 :rule refl :args (@t163)) % 5.11/5.35 (step @p217 :rule nary_cong :premises (@p216 @p215) :args (@t167)) % 5.11/5.35 (step @p218 :rule cong :premises (@p217) :args (@t168)) % 5.11/5.35 (step @p219 :rule refl :args (@t157)) % 5.11/5.35 (step @p220 :rule cong :premises (@p219 @p218) :args ((=> @t157 @t168))) % 5.11/5.35 (assume-push @p336 @t157) % 5.11/5.35 (step @p222 :rule skolemize :premises (@p210)) % 5.11/5.35 (step-pop @p337 :rule scope :premises (@p222)) % 5.11/5.35 (step @p223 :rule process_scope :premises (@p337) :args (@t168)) % 5.11/5.35 (step @p225 :rule eq_resolve :premises (@p223 @p220)) % 5.11/5.35 (step @p226 :rule implies_elim :premises (@p225)) % 5.11/5.35 (step @p227 :rule eq_resolve :premises (@p226 @p213)) % 5.11/5.35 (step @p228 :rule chain_m_resolution :premises (@p227 @p210) :args (@t165 @t169 (@list @t156))) % 5.11/5.35 (step @p229 :rule bool-double-not-elim :args (@t161)) % 5.11/5.35 (step @p230 :rule refl :args (@t164)) % 5.11/5.35 (step @p231 :rule nary_cong :premises (@p230 @p229) :args ((or @t164 (not @t162)))) % 5.11/5.35 (step @p232 :rule cnf_or_neg :args (@t164 1)) % 5.11/5.35 (step @p233 :rule eq_resolve :premises (@p232 @p231)) % 5.11/5.35 (step @p234 :rule reordering :premises (@p233) :args ((or @t161 @t164))) % 5.11/5.35 (step @p235 :rule chain_m_resolution :premises (@p234 @p228) :args (@t161 @t169 (@list @t164))) % 5.11/5.35 (step @p236 :rule instantiate :premises (@p70) :args ((@list tptp.xn @t85))) % 5.11/5.35 (step @p237 :rule bool-impl-elim :args (@t44 @t57)) % 5.11/5.35 (step @p238 :rule cong :premises (@p237) :args (@t58)) % 5.11/5.35 (step @p239 :rule eq_resolve :premises (@p28 @p238)) % 5.11/5.35 (step @p240 :rule instantiate :premises (@p239) :args (@t120)) % 5.11/5.35 (step @p241 :rule cnf_or_pos :args (@t172)) % 5.11/5.35 (step @p242 :rule reordering :premises (@p241) :args ((or @t109 @t171 (not @t172)))) % 5.11/5.35 (step @p243 :rule chain_m_resolution :premises (@p242 @p92 @p240) :args (@t171 @t126 (@list @t83 @t172))) % 5.11/5.35 (step @p244 :rule cnf_or_pos :args (@t175)) % 5.11/5.35 (step @p245 :rule reordering :premises (@p244) :args ((or @t109 @t170 @t130 @t141 @t174 (not @t175)))) % 5.11/5.35 (step @p246 :rule chain_m_resolution :premises (@p245 @p92 @p243 @p118 @p136 @p236) :args (@t174 (@list false true false false false) (@list @t83 @t170 @t123 @t132 @t175))) % 5.11/5.35 (step @p247 :rule refl :args (@t162)) % 5.11/5.35 (step @p248 :rule refl :args (@t176)) % 5.11/5.35 (step @p249 :rule bool-double-not-elim :args (@t173)) % 5.11/5.35 (step @p250 :rule refl :args (@t177)) % 5.11/5.35 (step @p251 :rule nary_cong :premises (@p250 @p249 @p248 @p247) :args ((or @t177 (not @t174) @t176 @t162))) % 5.11/5.35 (assume-push @p338 @t174) % 5.11/5.35 (assume-push @p339 @t161) % 5.11/5.35 (assume-push @p340 @t90) % 5.11/5.35 (assume-push @p341 @t129) % 5.11/5.35 (step @p256 :rule evaluate :args ((= true false))) % 5.11/5.35 (step @p257 :rule false_intro :premises (@p246)) % 5.11/5.35 (step @p258 :rule symm :premises (@p235)) % 5.11/5.35 (step @p259 :rule cong :premises (@p258 @p340) :args ((tptp.sdtlseqdt0 @t160 tptp.xm))) % 5.11/5.35 (step @p260 :rule refl :args (tptp.xm)) % 5.11/5.35 (step @p261 :rule cong :premises (@p235 @p260) :args (@t129)) % 5.11/5.35 (step @p262 :rule true_intro :premises (@p341)) % 5.11/5.35 (step @p263 :rule symm :premises (@p262)) % 5.11/5.35 (step @p264 :rule trans :premises (@p263 @p261 @p259 @p257)) % 5.11/5.35 (step @p265 false :rule eq_resolve :premises (@p264 @p256)) % 5.11/5.35 (step-pop @p342 :rule scope :premises (@p265)) % 5.11/5.35 (step-pop @p343 :rule scope :premises (@p342)) % 5.11/5.35 (step-pop @p344 :rule scope :premises (@p343)) % 5.11/5.35 (step-pop @p345 :rule scope :premises (@p344)) % 5.11/5.35 (step @p266 :rule process_scope :premises (@p345) :args (false)) % 5.11/5.35 (assume-push @p346 @t90) % 5.11/5.35 (assume-push @p347 @t174) % 5.11/5.35 (assume-push @p348 @t129) % 5.11/5.35 (assume-push @p349 @t161) % 5.11/5.35 (step @p275 :rule and_intro :premises (@p246 @p235 @p346 @p348)) % 5.11/5.35 (step-pop @p350 :rule scope :premises (@p275)) % 5.11/5.35 (step-pop @p351 :rule scope :premises (@p350)) % 5.11/5.35 (step-pop @p352 :rule scope :premises (@p351)) % 5.11/5.35 (step-pop @p353 :rule scope :premises (@p352)) % 5.11/5.35 (step @p276 :rule process_scope :premises (@p353) :args (@t178)) % 5.11/5.35 (step @p281 :rule implies_elim :premises (@p276)) % 5.11/5.35 (step @p282 :rule resolution :premises (@p281 @p266) :args (true @t178)) % 5.11/5.35 (step @p283 :rule not_and :premises (@p282)) % 5.11/5.35 (step @p284 :rule eq_resolve :premises (@p283 @p251)) % 5.11/5.35 (step @p285 :rule chain_m_resolution :premises (@p284 @p246 @p235 @p171 @p169 @p167 @p165 @p143 @p118 @p136 @p92 @p129 @p127 @p118 @p93 @p100 @p99 @p98) :args (@t95 (@list true false false true true false false false false false false false false false true true false) (@list @t173 @t161 @t90 @t93 @t92 @t144 @t134 @t123 @t132 @t83 @t129 @t131 @t123 @t84 @t88 @t89 @t94))) % 5.11/5.35 (step @p286 :rule not_and :premises (@p54)) % 5.11/5.35 (step @p287 :rule chain_m_resolution :premises (@p286 @p285) :args ((not @t98) @t116 (@list @t95))) % 5.11/5.35 (step @p288 :rule cnf_implies_neg1 :args (@t98)) % 5.11/5.35 (step @p289 :rule reordering :premises (@p288) :args ((or @t97 @t98))) % 5.11/5.35 (step @p290 :rule chain_m_resolution :premises (@p289 @p287) :args (@t97 @t169 @t179)) % 5.11/5.35 (step @p291 :rule cnf_and_pos :args (@t97 0)) % 5.11/5.35 (step @p292 :rule reordering :premises (@p291) :args ((or @t88 (not @t97)))) % 5.11/5.35 (step @p293 :rule chain_m_resolution :premises (@p292 @p290) :args (@t88 @t116 (@list @t97))) % 5.11/5.35 (step @p294 :rule cnf_equiv_pos1 :args (@t114)) % 5.11/5.35 (step @p295 :rule reordering :premises (@p294) :args ((or (not @t88) @t108 (not @t114)))) % 5.11/5.35 (step @p296 :rule chain_m_resolution :premises (@p295 @p293 @p96) :args (@t108 @t126 (@list @t88 @t114))) % 5.11/5.35 (step @p297 :rule eq-symm :args (@t180 @t181)) % 5.11/5.35 (step @p298 :rule nary_cong :premises (@p80 @p81 @p297) :args (@t182)) % 5.11/5.35 (step @p299 :rule cong :premises (@p83 @p298) :args ((=> @t112 @t182))) % 5.11/5.35 (assume-push @p354 @t112) % 5.11/5.35 (step @p301 :rule instantiate :premises (@p78) :args ((@list tptp.xn tptp.xm))) % 5.11/5.35 (step-pop @p355 :rule scope :premises (@p301)) % 5.11/5.35 (step @p302 :rule process_scope :premises (@p355) :args (@t182)) % 5.11/5.35 (step @p304 :rule eq_resolve :premises (@p302 @p299)) % 5.11/5.35 (step @p305 :rule implies_elim :premises (@p304)) % 5.11/5.35 (step @p306 :rule chain_m_resolution :premises (@p305 @p78) :args (@t184 @t116 @t117)) % 5.11/5.35 (step @p307 :rule cnf_or_pos :args (@t184)) % 5.11/5.35 (step @p308 :rule reordering :premises (@p307) :args ((or @t110 @t109 @t183 (not @t184)))) % 5.11/5.35 (step @p309 :rule chain_m_resolution :premises (@p308 @p93 @p92 @p306) :args (@t183 @t118 (@list @t84 @t83 @t184))) % 5.11/5.35 (step @p310 :rule instantiate :premises (@p126) :args ((@list @t87 tptp.xn))) % 5.11/5.35 (step @p311 :rule cnf_implies_neg2 :args (@t98)) % 5.11/5.35 (step @p312 :rule chain_m_resolution :premises (@p311 @p287) :args ((not @t96) @t169 @t179)) % 5.11/5.35 (step @p313 :rule cnf_or_neg :args (@t96 0)) % 5.11/5.35 (step @p314 :rule chain_m_resolution :premises (@p313 @p312) :args (@t142 @t169 @t185)) % 5.11/5.35 (step @p315 :rule cnf_or_pos :args (@t186)) % 5.11/5.35 (step @p316 :rule reordering :premises (@p315) :args ((or @t92 @t109 @t143 @t181 (not @t186)))) % 5.11/5.35 (step @p317 :rule chain_m_resolution :premises (@p316 @p314 @p92 @p143 @p310) :args (@t181 (@list true false false false) (@list @t92 @t83 @t134 @t186))) % 5.11/5.37 (step @p318 :rule cnf_equiv_pos1 :args (@t183)) % 5.11/5.37 (step @p319 :rule reordering :premises (@p318) :args ((or (not @t181) @t180 (not @t183)))) % 5.11/5.37 (step @p320 :rule chain_m_resolution :premises (@p319 @p317 @p309) :args (@t180 @t126 (@list @t181 @t183))) % 5.11/5.37 (step @p321 :rule cnf_or_neg :args (@t96 2)) % 5.11/5.37 (step @p322 :rule chain_m_resolution :premises (@p321 @p312) :args (@t177 @t169 @t185)) % 5.11/5.37 (step @p323 :rule cnf_or_pos :args (@t189)) % 5.11/5.37 (step @p324 :rule reordering :premises (@p323) :args ((or @t90 @t110 @t109 @t187 @t188 @t190))) % 5.11/5.37 (step @p325 :rule chain_m_resolution :premises (@p324 @p322 @p93 @p92 @p320 @p296) :args (@t190 (@list true false false false false) (@list @t90 @t84 @t83 @t180 @t108))) % 5.11/5.37 (assume-push @p356 @t191) % 5.11/5.37 (step @p327 :rule instantiate :premises (@p70) :args (@t113)) % 5.11/5.37 (step-pop @p357 :rule scope :premises (@p327)) % 5.11/5.37 (step @p328 :rule process_scope :premises (@p357) :args (@t189)) % 5.11/5.37 (step @p330 :rule implies_elim :premises (@p328)) % 5.11/5.37 (step @p331 false :rule chain_m_resolution :premises (@p330 @p325 @p70) :args (false (@list true false) (@list @t189 @t191))) % 5.11/5.37 ) % 5.11/5.37 % SZS output end Proof % 5.11/5.37 % cvc5 exiting %------------------------------------------------------------------------------