%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM544+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 08:39:47 AM UTC 2026 % Result : Theorem 34.12s 34.92s % Output : Proof 34.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM544+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 % 0.17/0.34 % Computer : n008.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 11:28:48 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 34.12/34.92 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.12/34.92 --- Run --no-e-matching --full-saturate-quant at 6... % 34.12/34.92 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.12/34.92 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.12/34.92 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.12/34.92 % SZS status Theorem % 34.12/34.92 % SZS output start Proof % 34.12/34.92 ( % 34.12/34.92 (declare-sort $$unsorted 0) % 34.12/34.92 (declare-const tptp.xS $$unsorted) % 34.12/34.92 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 34.12/34.92 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 34.12/34.92 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 34.12/34.92 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 34.12/34.92 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 34.12/34.92 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 34.12/34.92 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 34.12/34.92 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 34.12/34.92 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 34.12/34.92 (declare-const tptp.slcrc0 $$unsorted) % 34.12/34.92 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 34.12/34.92 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 34.12/34.92 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 34.12/34.92 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 34.12/34.92 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 34.12/34.92 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 34.12/34.92 (declare-const tptp.szNzAzT0 $$unsorted) % 34.12/34.92 (declare-const tptp.sz00 $$unsorted) % 34.12/34.92 (define @t1 () (@var "W0" $$unsorted)) % 34.12/34.92 (define @t2 () (tptp.aSet0 @t1)) % 34.12/34.92 (define @t3 () (@list @t1)) % 34.12/34.92 (define @t4 () (tptp.aElement0 @t1)) % 34.12/34.92 (define @t5 () (@var "W1" $$unsorted)) % 34.12/34.92 (define @t6 () (tptp.aElement0 @t5)) % 34.12/34.92 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 34.12/34.92 (define @t8 () (@list @t5)) % 34.12/34.92 (define @t9 () (tptp.isFinite0 @t1)) % 34.12/34.92 (define @t10 () (= @t1 tptp.slcrc0)) % 34.12/34.92 (define @t11 () (tptp.isCountable0 @t1)) % 34.12/34.92 (define @t12 () (not @t9)) % 34.12/34.92 (define @t13 () (and @t2 @t11)) % 34.12/34.92 (define @t14 () (not @t10)) % 34.12/34.92 (define @t15 () (@var "W2" $$unsorted)) % 34.12/34.92 (define @t16 () (tptp.aElementOf0 @t15 @t1)) % 34.12/34.92 (define @t17 () (tptp.aElementOf0 @t15 @t5)) % 34.12/34.92 (define @t18 () (@list @t15)) % 34.12/34.92 (define @t19 () (forall @t18 (=> @t17 @t16))) % 34.12/34.92 (define @t20 () (tptp.aSet0 @t5)) % 34.12/34.92 (define @t21 () (and @t20 @t19)) % 34.12/34.92 (define @t22 () (tptp.aSubsetOf0 @t5 @t1)) % 34.12/34.92 (define @t23 () (= @t22 @t21)) % 34.12/34.92 (define @t24 () (forall @t8 @t23)) % 34.12/34.92 (define @t25 () (=> @t2 @t24)) % 34.12/34.92 (define @t26 () (forall @t3 @t25)) % 34.12/34.92 (define @t27 () (tptp.isFinite0 @t5)) % 34.12/34.92 (define @t28 () (and @t2 @t9)) % 34.12/34.92 (define @t29 () (= @t1 @t5)) % 34.12/34.92 (define @t30 () (tptp.aSubsetOf0 @t1 @t5)) % 34.12/34.92 (define @t31 () (@list @t1 @t5)) % 34.12/34.92 (define @t32 () (tptp.aSet0 @t15)) % 34.12/34.92 (define @t33 () (@list @t1 @t5 @t15)) % 34.12/34.92 (define @t34 () (@var "W3" $$unsorted)) % 34.12/34.92 (define @t35 () (= @t34 @t5)) % 34.12/34.92 (define @t36 () (tptp.aElementOf0 @t34 @t1)) % 34.12/34.92 (define @t37 () (tptp.aElement0 @t34)) % 34.12/34.92 (define @t38 () (tptp.aElementOf0 @t34 @t15)) % 34.12/34.92 (define @t39 () (@list @t34)) % 34.12/34.92 (define @t40 () (tptp.sdtpldt0 @t1 @t5)) % 34.12/34.92 (define @t41 () (and @t2 @t6)) % 34.12/34.92 (define @t42 () (tptp.sdtmndt0 @t1 @t5)) % 34.12/34.92 (define @t43 () (tptp.sdtpldt0 @t5 @t1)) % 34.12/34.92 (define @t44 () (and @t20 (tptp.isCountable0 @t5))) % 34.12/34.92 (define @t45 () (tptp.sdtmndt0 @t5 @t1)) % 34.12/34.92 (define @t46 () (and @t20 @t27)) % 34.12/34.92 (define @t47 () (tptp.aSet0 tptp.szNzAzT0)) % 34.12/34.92 (define @t48 () (tptp.szszuzczcdt0 @t1)) % 34.12/34.92 (define @t49 () (not (= @t48 tptp.sz00))) % 34.12/34.92 (define @t50 () (tptp.aElementOf0 @t48 tptp.szNzAzT0)) % 34.12/34.92 (define @t51 () (and @t50 @t49)) % 34.12/34.92 (define @t52 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 34.12/34.92 (define @t53 () (=> @t52 @t51)) % 34.12/34.92 (define @t54 () (forall @t3 @t53)) % 34.12/34.92 (define @t55 () (tptp.szszuzczcdt0 @t5)) % 34.12/34.92 (define @t56 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 34.12/34.92 (define @t57 () (and @t52 @t56)) % 34.12/34.92 (define @t58 () (tptp.sdtlseqdt0 @t1 @t5)) % 34.12/34.92 (define @t59 () (= @t58 (tptp.sdtlseqdt0 @t48 @t55))) % 34.12/34.92 (define @t60 () (forall @t31 (=> @t57 @t59))) % 34.12/34.92 (define @t61 () (tptp.sdtlseqdt0 @t5 @t15)) % 34.12/34.92 (define @t62 () (tptp.aElementOf0 @t15 tptp.szNzAzT0)) % 34.12/34.92 (define @t63 () (tptp.sbrdtbr0 @t1)) % 34.12/34.92 (define @t64 () (tptp.szmzizndt0 @t1)) % 34.12/34.92 (define @t65 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 34.12/34.92 (define @t66 () (tptp.sdtlseqdt0 @t15 @t5)) % 34.12/34.92 (define @t67 () (forall @t18 (=> @t16 @t66))) % 34.12/34.92 (define @t68 () (and @t7 @t67)) % 34.12/34.92 (define @t69 () (tptp.szmzazxdt0 @t1)) % 34.12/34.92 (define @t70 () (= @t5 @t69)) % 34.12/34.92 (define @t71 () (= @t70 @t68)) % 34.12/34.92 (define @t72 () (forall @t8 @t71)) % 34.12/34.92 (define @t73 () (and @t65 @t9 @t14)) % 34.12/34.92 (define @t74 () (=> @t73 @t72)) % 34.12/34.92 (define @t75 () (forall @t3 @t74)) % 34.12/34.92 (define @t76 () (tptp.szmzizndt0 @t5)) % 34.12/34.92 (define @t77 () (tptp.szszuzczcdt0 @t15)) % 34.12/34.92 (define @t78 () (and @t62 (tptp.sdtlseqdt0 @t77 @t1))) % 34.12/34.92 (define @t79 () (tptp.slbdtrb0 @t1)) % 34.12/34.92 (define @t80 () (forall @t8 (= (= @t5 @t79) (and @t20 (forall @t18 (= @t17 @t78)))))) % 34.12/34.92 (define @t81 () (forall @t3 (=> @t52 @t80))) % 34.12/34.92 (define @t82 () (tptp.slbdtrb0 tptp.sz00)) % 34.12/34.92 (define @t83 () (tptp.slbdtrb0 @t5)) % 34.12/34.92 (define @t84 () (tptp.isFinite0 tptp.xS)) % 34.12/34.92 (define @t85 () (tptp.aSubsetOf0 tptp.xS tptp.szNzAzT0)) % 34.12/34.92 (define @t86 () (tptp.szmzazxdt0 tptp.xS)) % 34.12/34.92 (define @t87 () (tptp.szszuzczcdt0 @t86)) % 34.12/34.92 (define @t88 () (tptp.slbdtrb0 @t87)) % 34.12/34.92 (define @t89 () (tptp.aSubsetOf0 tptp.xS @t88)) % 34.12/34.92 (define @t90 () (not (= tptp.xS tptp.slcrc0))) % 34.12/34.92 (define @t91 () (=> @t90 @t89)) % 34.12/34.92 (define @t92 () (not @t91)) % 34.12/34.92 (define @t93 () (@var "BOUND_VARIABLE_7830" $$unsorted)) % 34.12/34.92 (define @t94 () (= (tptp.aSubsetOf0 @t93 @t1) (and (tptp.aSet0 @t93) (forall @t18 (or (not (tptp.aElementOf0 @t15 @t93)) @t16))))) % 34.12/34.92 (define @t95 () (not @t2)) % 34.12/34.92 (define @t96 () (or @t95 @t94)) % 34.12/34.92 (define @t97 () (@list @t93)) % 34.12/34.92 (define @t98 () (forall @t97 @t96)) % 34.12/34.92 (define @t99 () (forall @t97 @t94)) % 34.12/34.92 (define @t100 () (@list @t5)) % 34.12/34.92 (define @t101 () (or @t95 @t99)) % 34.12/34.92 (define @t102 () (forall @t8 (= @t22 (and @t20 (forall @t18 (or (not @t17) @t16)))))) % 34.12/34.92 (define @t103 () (not (tptp.aElementOf0 @t15 tptp.xS))) % 34.12/34.92 (define @t104 () (forall @t18 (or @t103 @t62))) % 34.12/34.92 (define @t105 () (tptp.aSet0 tptp.xS)) % 34.12/34.92 (define @t106 () (and @t105 @t104)) % 34.12/34.92 (define @t107 () (= @t85 @t106)) % 34.12/34.92 (define @t108 () (not @t47)) % 34.12/34.92 (define @t109 () (or @t108 @t107)) % 34.12/34.92 (define @t110 () (@list false false)) % 34.12/34.92 (define @t111 () (not @t85)) % 34.12/34.92 (define @t112 () (not @t106)) % 34.12/34.92 (define @t113 () (@list false)) % 34.12/34.92 (define @t114 () (@list @t106)) % 34.12/34.92 (define @t115 () (@list @t86)) % 34.12/34.92 (define @t116 () (@var "BOUND_VARIABLE_8313" $$unsorted)) % 34.12/34.92 (define @t117 () (= @t69 @t116)) % 34.12/34.92 (define @t118 () (not @t16)) % 34.12/34.92 (define @t119 () (and (tptp.aElementOf0 @t116 @t1) (forall @t18 (or @t118 (tptp.sdtlseqdt0 @t15 @t116))))) % 34.12/34.92 (define @t120 () (= @t119 @t117)) % 34.12/34.92 (define @t121 () (not @t65)) % 34.12/34.92 (define @t122 () (or @t121 @t12 @t10 @t120)) % 34.12/34.92 (define @t123 () (@list @t1 @t116)) % 34.12/34.92 (define @t124 () (= (= @t116 @t69) @t119)) % 34.12/34.92 (define @t125 () (or @t121 @t12 @t10 @t124)) % 34.12/34.92 (define @t126 () (forall @t123 @t125)) % 34.12/34.92 (define @t127 () (@list @t116)) % 34.12/34.92 (define @t128 () (forall @t127 @t125)) % 34.12/34.92 (define @t129 () (forall @t127 @t124)) % 34.12/34.92 (define @t130 () (or @t121 @t12 @t10 @t129)) % 34.12/34.92 (define @t131 () (forall @t8 (= @t70 (and @t7 (forall @t18 (or @t118 @t66)))))) % 34.12/34.92 (define @t132 () (or @t121 @t12 @t10 @t131)) % 34.12/34.92 (define @t133 () (not @t14)) % 34.12/34.92 (define @t134 () (or @t121 @t12 @t133)) % 34.12/34.92 (define @t135 () (forall @t18 (or @t103 (tptp.sdtlseqdt0 @t15 @t86)))) % 34.12/34.92 (define @t136 () (tptp.aElementOf0 @t86 tptp.xS)) % 34.12/34.92 (define @t137 () (and @t136 @t135)) % 34.12/34.92 (define @t138 () (= @t137 (= @t86 @t86))) % 34.12/34.92 (define @t139 () (not @t84)) % 34.12/34.92 (define @t140 () (or @t111 @t139 (= tptp.xS @t82) @t138)) % 34.12/34.92 (define @t141 () (forall @t123 (or @t121 @t12 (= @t1 @t82) @t120))) % 34.12/34.92 (define @t142 () (= @t82 tptp.xS)) % 34.12/34.92 (define @t143 () (or @t111 @t139 @t142 @t137)) % 34.12/34.92 (define @t144 () (= tptp.slcrc0 tptp.xS)) % 34.12/34.92 (define @t145 () (not @t144)) % 34.12/34.92 (define @t146 () (=> @t145 @t89)) % 34.12/34.92 (define @t147 () (not @t137)) % 34.12/34.92 (define @t148 () (@list @t137)) % 34.12/34.92 (define @t149 () (tptp.aElementOf0 @t86 tptp.szNzAzT0)) % 34.12/34.92 (define @t150 () (not @t136)) % 34.12/34.92 (define @t151 () (or @t150 @t149)) % 34.12/34.92 (define @t152 () (tptp.aElementOf0 @t15 @t88)) % 34.12/34.92 (define @t153 () (forall @t18 (or @t103 @t152))) % 34.12/34.92 (define @t154 () (@quantifiers_skolemize @t153 0)) % 34.12/34.92 (define @t155 () (@list @t154)) % 34.12/34.92 (define @t156 () (@var "BOUND_VARIABLE_8344" $$unsorted)) % 34.12/34.92 (define @t157 () (tptp.aElementOf0 @t15 @t156)) % 34.12/34.92 (define @t158 () (forall @t18 (= @t157 @t78))) % 34.12/34.92 (define @t159 () (tptp.aSet0 @t156)) % 34.12/34.92 (define @t160 () (and @t159 @t158)) % 34.12/34.92 (define @t161 () (= (= @t156 @t79) @t160)) % 34.12/34.92 (define @t162 () (not @t52)) % 34.12/34.92 (define @t163 () (or @t162 @t161)) % 34.12/34.92 (define @t164 () (@list @t1 @t156)) % 34.12/34.92 (define @t165 () (forall @t164 @t163)) % 34.12/34.92 (define @t166 () (@list @t156)) % 34.12/34.92 (define @t167 () (forall @t166 @t163)) % 34.12/34.92 (define @t168 () (forall @t166 @t161)) % 34.12/34.92 (define @t169 () (or @t162 @t168)) % 34.12/34.92 (define @t170 () (and @t62 (tptp.sdtlseqdt0 @t77 @t87))) % 34.12/34.92 (define @t171 () (forall @t18 (= @t152 @t170))) % 34.12/34.92 (define @t172 () (tptp.aSet0 @t88)) % 34.12/34.92 (define @t173 () (and @t172 @t171)) % 34.12/34.92 (define @t174 () (forall @t18 (= @t170 @t152))) % 34.12/34.92 (define @t175 () (and @t172 @t174)) % 34.12/34.92 (define @t176 () (= (= @t88 @t88) @t175)) % 34.12/34.92 (define @t177 () (tptp.aElementOf0 @t87 tptp.szNzAzT0)) % 34.12/34.92 (define @t178 () (not @t177)) % 34.12/34.92 (define @t179 () (or @t178 @t176)) % 34.12/34.92 (define @t180 () (forall @t164 (or @t162 (= (= @t79 @t156) (and @t159 (forall @t18 (= @t78 @t157))))))) % 34.12/34.92 (define @t181 () (or @t178 @t173)) % 34.12/34.92 (define @t182 () (and @t50 (not (= tptp.sz00 @t48)))) % 34.12/34.92 (define @t183 () (and @t177 (not (= tptp.sz00 @t87)))) % 34.12/34.92 (define @t184 () (not @t149)) % 34.12/34.92 (define @t185 () (or @t184 @t183)) % 34.12/34.92 (define @t186 () (not @t173)) % 34.12/34.92 (define @t187 () (@list @t173)) % 34.12/34.92 (define @t188 () (and @t105 @t153)) % 34.12/34.92 (define @t189 () (= @t89 @t188)) % 34.12/34.92 (define @t190 () (not @t172)) % 34.12/34.92 (define @t191 () (or @t190 @t189)) % 34.12/34.92 (define @t192 () (not @t188)) % 34.12/34.92 (define @t193 () (@list true false)) % 34.12/34.92 (define @t194 () (not @t153)) % 34.12/34.92 (define @t195 () (@list false true)) % 34.12/34.92 (define @t196 () (tptp.aElementOf0 @t154 tptp.xS)) % 34.12/34.92 (define @t197 () (tptp.aElementOf0 @t154 @t88)) % 34.12/34.92 (define @t198 () (not @t196)) % 34.12/34.92 (define @t199 () (or @t198 @t197)) % 34.12/34.92 (define @t200 () (@list true)) % 34.12/34.92 (define @t201 () (@list @t199)) % 34.12/34.92 (define @t202 () (tptp.aElementOf0 @t154 tptp.szNzAzT0)) % 34.12/34.92 (define @t203 () (or @t198 @t202)) % 34.12/34.92 (define @t204 () (tptp.sdtlseqdt0 @t154 @t86)) % 34.12/34.92 (define @t205 () (or @t198 @t204)) % 34.12/34.92 (define @t206 () (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t154) @t87)) % 34.12/34.92 (define @t207 () (and @t202 @t206)) % 34.12/34.92 (define @t208 () (= @t197 @t207)) % 34.12/34.92 (define @t209 () (not @t207)) % 34.12/34.92 (define @t210 () (not @t206)) % 34.12/34.92 (define @t211 () (not @t202)) % 34.12/34.92 (define @t212 () (= @t204 @t206)) % 34.12/34.92 (define @t213 () (not @t212)) % 34.12/34.92 (define @t214 () (not @t56)) % 34.12/34.92 (define @t215 () (or @t211 @t184 @t212)) % 34.12/34.92 (assume @p1 (forall @t3 (=> @t2 true))) % 34.12/34.92 (assume @p2 (forall @t3 (=> @t4 true))) % 34.12/34.92 (assume @p3 (forall @t3 (=> @t2 (forall @t8 (=> @t7 @t6))))) % 34.12/34.92 (assume @p4 (forall @t3 (=> @t2 (=> @t9 true)))) % 34.12/34.92 (assume @p5 (forall @t3 (= @t10 (and @t2 (not (exists @t8 @t7)))))) % 34.12/34.92 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 34.12/34.92 (assume @p7 (forall @t3 (=> @t2 (=> @t11 true)))) % 34.12/34.92 (assume @p8 (forall @t3 (=> @t13 @t12))) % 34.12/34.92 (assume @p9 (forall @t3 (=> @t13 @t14))) % 34.12/34.92 (assume @p10 @t26) % 34.12/34.92 (assume @p11 (forall @t3 (=> @t28 (forall @t8 (=> @t22 @t27))))) % 34.12/34.92 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 34.12/34.92 (assume @p13 (forall @t31 (=> (and @t2 @t20) (=> (and @t30 @t22) @t29)))) % 34.12/34.92 (assume @p14 (forall @t33 (=> (and @t2 @t20 @t32) (=> (and @t30 (tptp.aSubsetOf0 @t5 @t15)) (tptp.aSubsetOf0 @t1 @t15))))) % 34.12/34.92 (assume @p15 (forall @t31 (=> @t41 (forall @t18 (= (= @t15 @t40) (and @t32 (forall @t39 (= @t38 (and @t37 (or @t36 @t35)))))))))) % 34.12/34.92 (assume @p16 (forall @t31 (=> @t41 (forall @t18 (= (= @t15 @t42) (and @t32 (forall @t39 (= @t38 (and @t37 @t36 (not @t35)))))))))) % 34.12/34.92 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t42 @t5) @t1)))))) % 34.12/34.92 (assume @p18 (forall @t31 (=> (and @t4 @t20) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t43 @t1) @t5))))) % 34.12/34.92 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t44 (tptp.isCountable0 @t43)))))) % 34.12/34.92 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t44 (tptp.isCountable0 @t45)))))) % 34.12/34.92 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t46 (tptp.isFinite0 @t43)))))) % 34.12/34.92 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t46 (tptp.isFinite0 @t45)))))) % 34.12/34.92 (assume @p23 (and @t47 (tptp.isCountable0 tptp.szNzAzT0))) % 34.12/34.92 (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 34.12/34.92 (assume @p25 @t54) % 34.12/34.92 (assume @p26 (forall @t31 (=> @t57 (=> (= @t48 @t55) @t29)))) % 34.12/34.92 (assume @p27 (forall @t3 (=> @t52 (or (= @t1 tptp.sz00) (exists @t8 (and @t56 (= @t1 @t55))))))) % 34.12/34.92 (assume @p28 (forall @t3 (=> @t52 (not (= @t1 @t48))))) % 34.12/34.92 (assume @p29 (forall @t31 (=> @t57 (=> @t58 true)))) % 34.12/34.92 (assume @p30 (forall @t3 (=> @t52 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 34.12/34.92 (assume @p31 (forall @t3 (=> @t52 (not (tptp.sdtlseqdt0 @t48 tptp.sz00))))) % 34.12/34.92 (assume @p32 @t60) % 34.12/34.92 (assume @p33 (forall @t3 (=> @t52 (tptp.sdtlseqdt0 @t1 @t48)))) % 34.12/34.92 (assume @p34 (forall @t3 (=> @t52 (tptp.sdtlseqdt0 @t1 @t1)))) % 34.12/34.92 (assume @p35 (forall @t31 (=> @t57 (=> (and @t58 (tptp.sdtlseqdt0 @t5 @t1)) @t29)))) % 34.12/34.92 (assume @p36 (forall @t33 (=> (and @t52 @t56 @t62) (=> (and @t58 @t61) (tptp.sdtlseqdt0 @t1 @t15))))) % 34.12/34.92 (assume @p37 (forall @t31 (=> @t57 (or @t58 (tptp.sdtlseqdt0 @t55 @t1))))) % 34.12/34.92 (assume @p38 (forall @t31 (=> @t57 (=> (tptp.iLess0 @t1 @t5) true)))) % 34.12/34.92 (assume @p39 (forall @t3 (=> @t52 (tptp.iLess0 @t1 @t48)))) % 34.12/34.92 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t63)))) % 34.12/34.92 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t63 tptp.szNzAzT0) @t9)))) % 34.12/34.92 (assume @p42 (forall @t3 (=> @t2 (= (= @t63 tptp.sz00) @t10)))) % 34.12/34.92 (assume @p43 (forall @t3 (=> @t28 (forall @t8 (=> @t6 (=> (not @t7) (= (tptp.sbrdtbr0 @t40) (tptp.szszuzczcdt0 @t63)))))))) % 34.12/34.92 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t42)) @t63)))))) % 34.12/34.92 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t22) (tptp.sdtlseqdt0 (tptp.sbrdtbr0 @t5) @t63)))))) % 34.12/34.92 (assume @p46 (forall @t31 (=> (and @t2 @t56) (=> (and @t9 (tptp.sdtlseqdt0 @t5 @t63)) (exists @t18 (and (tptp.aSubsetOf0 @t15 @t1) (= (tptp.sbrdtbr0 @t15) @t5))))))) % 34.12/34.92 (assume @p47 (forall @t3 (=> (and @t65 @t14) (forall @t8 (= (= @t5 @t64) (and @t7 (forall @t18 (=> @t16 @t61)))))))) % 34.12/34.92 (assume @p48 @t75) % 34.12/34.92 (assume @p49 (forall @t31 (=> (and @t65 (tptp.aSubsetOf0 @t5 tptp.szNzAzT0) @t14 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t64 @t5) (tptp.aElementOf0 @t76 @t1)) (= @t64 @t76))))) % 34.12/34.92 (assume @p50 @t81) % 34.12/34.92 (assume @p51 (forall @t3 (=> @t52 (tptp.isFinite0 @t79)))) % 34.12/34.92 (assume @p52 (= @t82 tptp.slcrc0)) % 34.12/34.92 (assume @p53 (forall @t31 (=> @t57 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t55)) (or (tptp.aElementOf0 @t1 @t83) @t29))))) % 34.12/34.92 (assume @p54 (forall @t31 (=> @t57 (= @t58 (tptp.aSubsetOf0 @t79 @t83))))) % 34.12/34.92 (assume @p55 (and @t85 @t84)) % 34.12/34.92 (assume @p56 @t92) % 34.12/34.92 (assume @p57 true) % 34.12/34.92 (step @p58 :rule quant-merge-prenex :args ((= (forall @t3 @t98) (forall (@list @t1 @t93) @t96)))) % 34.12/34.92 (step @p59 :rule alpha_equiv :args (@t99 (@list @t93) @t100)) % 34.12/34.92 (step @p60 :rule refl :args (@t95)) % 34.12/34.92 (step @p61 :rule nary_cong :premises (@p60 @p59) :args (@t101)) % 34.12/34.92 (step @p62 :rule quant-miniscope-or :args ((= @t98 @t101))) % 34.12/34.92 (step @p63 :rule trans :premises (@p62 @p61)) % 34.12/34.92 (step @p64 :rule symm :premises (@p63)) % 34.12/34.92 (step @p65 :rule cong :premises (@p64) :args ((forall @t3 (or @t95 @t102)))) % 34.12/34.92 (step @p66 :rule trans :premises (@p65 @p58)) % 34.12/34.92 (step @p67 :rule bool-impl-elim :args (@t2 @t102)) % 34.12/34.92 (step @p68 :rule cong :premises (@p67) :args ((forall @t3 (=> @t2 @t102)))) % 34.12/34.92 (step @p69 :rule trans :premises (@p68 @p66)) % 34.12/34.92 (step @p70 :rule bool-impl-elim :args (@t17 @t16)) % 34.12/34.92 (step @p71 :rule cong :premises (@p70) :args (@t19)) % 34.12/34.92 (step @p72 :rule refl :args (@t20)) % 34.12/34.92 (step @p73 :rule nary_cong :premises (@p72 @p71) :args (@t21)) % 34.12/34.92 (step @p74 :rule refl :args (@t22)) % 34.12/34.92 (step @p75 :rule cong :premises (@p74 @p73) :args (@t23)) % 34.12/34.92 (step @p76 :rule cong :premises (@p75) :args (@t24)) % 34.12/34.92 (step @p77 :rule refl :args (@t2)) % 34.12/34.92 (step @p78 :rule cong :premises (@p77 @p76) :args (@t25)) % 34.12/34.92 (step @p79 :rule cong :premises (@p78) :args (@t26)) % 34.12/34.92 (step @p80 :rule trans :premises (@p79 @p69)) % 34.12/34.92 (step @p81 :rule eq_resolve :premises (@p10 @p80)) % 34.12/34.92 (step @p82 :rule instantiate :premises (@p81) :args ((@list tptp.szNzAzT0 tptp.xS))) % 34.12/34.92 (step @p83 :rule and_elim :premises (@p23) :args (0)) % 34.12/34.92 (step @p84 :rule cnf_or_pos :args (@t109)) % 34.12/34.92 (step @p85 :rule reordering :premises (@p84) :args ((or @t108 @t107 (not @t109)))) % 34.12/34.92 (step @p86 :rule chain_m_resolution :premises (@p85 @p83 @p82) :args (@t107 @t110 (@list @t47 @t109))) % 34.12/34.92 (step @p87 :rule and_elim :premises (@p55) :args (0)) % 34.12/34.92 (step @p88 :rule cnf_equiv_pos1 :args (@t107)) % 34.12/34.92 (step @p89 :rule reordering :premises (@p88) :args ((or @t111 @t106 (not @t107)))) % 34.12/34.92 (step @p90 :rule chain_m_resolution :premises (@p89 @p87 @p86) :args (@t106 @t110 (@list @t85 @t107))) % 34.12/34.92 (step @p91 :rule cnf_and_pos :args (@t106 1)) % 34.12/34.92 (step @p92 :rule reordering :premises (@p91) :args ((or @t104 @t112))) % 34.12/34.92 (step @p93 :rule chain_m_resolution :premises (@p92 @p90) :args (@t104 @t113 @t114)) % 34.12/34.92 (step @p94 :rule instantiate :premises (@p93) :args (@t115)) % 34.12/34.92 (step @p95 :rule refl :args (@t120)) % 34.12/34.92 (step @p96 :rule symm :premises (@p52)) % 34.12/34.92 (step @p97 :rule refl :args (@t1)) % 34.12/34.92 (step @p98 :rule cong :premises (@p97 @p96) :args (@t10)) % 34.12/34.92 (step @p99 :rule refl :args (@t12)) % 34.12/34.92 (step @p100 :rule refl :args (@t121)) % 34.12/34.92 (step @p101 :rule nary_cong :premises (@p100 @p99 @p98 @p95) :args (@t122)) % 34.12/34.92 (step @p102 :rule cong :premises (@p101) :args ((forall @t123 @t122))) % 34.12/34.92 (step @p103 :rule eq-symm :args (@t117 @t119)) % 34.12/34.92 (step @p104 :rule refl :args (@t119)) % 34.12/34.92 (step @p105 :rule eq-symm :args (@t116 @t69)) % 34.12/34.92 (step @p106 :rule cong :premises (@p105 @p104) :args (@t124)) % 34.12/34.92 (step @p107 :rule trans :premises (@p106 @p103)) % 34.12/34.92 (step @p108 :rule refl :args (@t10)) % 34.12/34.92 (step @p109 :rule nary_cong :premises (@p100 @p99 @p108 @p107) :args (@t125)) % 34.12/34.92 (step @p110 :rule cong :premises (@p109) :args (@t126)) % 34.12/34.92 (step @p111 :rule quant-merge-prenex :args ((= (forall @t3 @t128) @t126))) % 34.12/34.92 (step @p112 :rule alpha_equiv :args (@t129 (@list @t116) @t100)) % 34.12/34.92 (step @p113 :rule refl :args (@t10)) % 34.12/34.92 (step @p114 :rule refl :args (@t12)) % 34.12/34.92 (step @p115 :rule refl :args (@t121)) % 34.12/34.92 (step @p116 :rule nary_cong :premises (@p115 @p114 @p113 @p112) :args (@t130)) % 34.12/34.92 (step @p117 :rule quant-miniscope-or :args ((= @t128 @t130))) % 34.12/34.92 (step @p118 :rule trans :premises (@p117 @p116)) % 34.12/34.92 (step @p119 :rule symm :premises (@p118)) % 34.12/34.92 (step @p120 :rule cong :premises (@p119) :args ((forall @t3 @t132))) % 34.12/34.92 (step @p121 :rule trans :premises (@p120 @p111)) % 34.12/34.92 (step @p122 :rule trans :premises (@p121 @p110)) % 34.12/34.92 (step @p123 :rule aci_norm :args ((= (or (or @t121 @t12 @t10) @t131) @t132))) % 34.12/34.92 (step @p124 :rule refl :args (@t131)) % 34.12/34.92 (step @p125 :rule bool-double-not-elim :args (@t10)) % 34.12/34.92 (step @p126 :rule nary_cong :premises (@p115 @p114 @p125) :args (@t134)) % 34.12/34.92 (step @p127 :rule aci_norm :args ((= (or @t121 (or @t12 @t133)) @t134))) % 34.12/34.92 (step @p128 :rule trans :premises (@p127 @p126)) % 34.12/34.92 (step @p129 :rule bool-and-de-morgan :args (@t9 @t14 true)) % 34.12/34.92 (step @p130 :rule nary_cong :premises (@p115 @p129) :args ((or @t121 (not (and @t9 @t14))))) % 34.12/34.92 (step @p131 :rule bool-and-de-morgan :args (@t65 @t9 (and @t14))) % 34.12/34.92 (step @p132 :rule trans :premises (@p131 @p130)) % 34.12/34.92 (step @p133 :rule trans :premises (@p132 @p128)) % 34.12/34.92 (step @p134 :rule nary_cong :premises (@p133 @p124) :args ((or (not @t73) @t131))) % 34.12/34.92 (step @p135 :rule trans :premises (@p134 @p123)) % 34.12/34.92 (step @p136 :rule bool-impl-elim :args (@t73 @t131)) % 34.12/34.92 (step @p137 :rule trans :premises (@p136 @p135)) % 34.12/34.92 (step @p138 :rule cong :premises (@p137) :args ((forall @t3 (=> @t73 @t131)))) % 34.12/34.92 (step @p139 :rule trans :premises (@p138 @p122)) % 34.12/34.92 (step @p140 :rule bool-impl-elim :args (@t16 @t66)) % 34.12/34.92 (step @p141 :rule cong :premises (@p140) :args (@t67)) % 34.12/34.92 (step @p142 :rule refl :args (@t7)) % 34.12/34.92 (step @p143 :rule nary_cong :premises (@p142 @p141) :args (@t68)) % 34.12/34.92 (step @p144 :rule refl :args (@t70)) % 34.12/34.92 (step @p145 :rule cong :premises (@p144 @p143) :args (@t71)) % 34.12/34.92 (step @p146 :rule cong :premises (@p145) :args (@t72)) % 34.12/34.92 (step @p147 :rule refl :args (@t73)) % 34.12/34.92 (step @p148 :rule cong :premises (@p147 @p146) :args (@t74)) % 34.12/34.92 (step @p149 :rule cong :premises (@p148) :args (@t75)) % 34.12/34.92 (step @p150 :rule trans :premises (@p149 @p139)) % 34.12/34.92 (step @p151 :rule trans :premises (@p150 @p102)) % 34.12/34.92 (step @p152 :rule eq_resolve :premises (@p48 @p151)) % 34.12/34.92 (step @p153 :rule bool-eq-true :args (@t137)) % 34.12/34.92 (step @p154 :rule eq-refl :args (@t86)) % 34.12/34.92 (step @p155 :rule refl :args (@t137)) % 34.12/34.92 (step @p156 :rule cong :premises (@p155 @p154) :args (@t138)) % 34.12/34.92 (step @p157 :rule trans :premises (@p156 @p153)) % 34.12/34.92 (step @p158 :rule eq-symm :args (tptp.xS @t82)) % 34.12/34.92 (step @p159 :rule refl :args (@t139)) % 34.12/34.92 (step @p160 :rule refl :args (@t111)) % 34.12/34.92 (step @p161 :rule nary_cong :premises (@p160 @p159 @p158 @p157) :args (@t140)) % 34.12/34.92 (step @p162 :rule refl :args (@t141)) % 34.12/34.92 (step @p163 :rule cong :premises (@p162 @p161) :args ((=> @t141 @t140))) % 34.12/34.92 (assume-push @p323 @t141) % 34.12/34.92 (step @p165 :rule instantiate :premises (@p152) :args ((@list tptp.xS @t86))) % 34.12/34.92 (step-pop @p324 :rule scope :premises (@p165)) % 34.12/34.92 (step @p166 :rule process_scope :premises (@p324) :args (@t140)) % 34.12/34.92 (step @p168 :rule eq_resolve :premises (@p166 @p163)) % 34.12/34.92 (step @p169 :rule implies_elim :premises (@p168)) % 34.12/34.92 (step @p170 :rule chain_m_resolution :premises (@p169 @p152) :args (@t143 @t113 (@list @t141))) % 34.12/34.92 (step @p171 :rule and_elim :premises (@p55) :args (1)) % 34.12/34.92 (step @p172 :rule refl :args (@t89)) % 34.12/34.92 (step @p173 :rule refl :args (tptp.xS)) % 34.12/34.92 (step @p174 :rule cong :premises (@p96 @p173) :args (@t144)) % 34.12/34.92 (step @p175 :rule cong :premises (@p174) :args (@t145)) % 34.12/34.92 (step @p176 :rule cong :premises (@p175 @p172) :args (@t146)) % 34.12/34.92 (step @p177 :rule cong :premises (@p176) :args ((not @t146))) % 34.12/34.92 (step @p178 :rule eq-symm :args (tptp.xS tptp.slcrc0)) % 34.12/34.92 (step @p179 :rule cong :premises (@p178) :args (@t90)) % 34.12/34.92 (step @p180 :rule cong :premises (@p179 @p172) :args (@t91)) % 34.12/34.92 (step @p181 :rule cong :premises (@p180) :args (@t92)) % 34.12/34.92 (step @p182 :rule trans :premises (@p181 @p177)) % 34.12/34.92 (step @p183 :rule eq_resolve :premises (@p56 @p182)) % 34.12/34.92 (step @p184 :rule not_implies_elim1 :premises (@p183)) % 34.12/34.92 (step @p185 :rule cnf_or_pos :args (@t143)) % 34.12/34.92 (step @p186 :rule reordering :premises (@p185) :args ((or @t142 @t111 @t139 @t137 (not @t143)))) % 34.12/34.92 (step @p187 :rule chain_m_resolution :premises (@p186 @p184 @p87 @p171 @p170) :args (@t137 (@list true false false false) (@list @t142 @t85 @t84 @t143))) % 34.12/34.92 (step @p188 :rule cnf_and_pos :args (@t137 0)) % 34.12/34.92 (step @p189 :rule reordering :premises (@p188) :args ((or @t136 @t147))) % 34.12/34.92 (step @p190 :rule chain_m_resolution :premises (@p189 @p187) :args (@t136 @t113 @t148)) % 34.12/34.92 (step @p191 :rule cnf_or_pos :args (@t151)) % 34.12/34.92 (step @p192 :rule reordering :premises (@p191) :args ((or @t149 @t150 (not @t151)))) % 34.12/34.92 (step @p193 :rule chain_m_resolution :premises (@p192 @p190 @p94) :args (@t149 @t110 (@list @t136 @t151))) % 34.12/34.92 (step @p194 :rule instantiate :premises (@p93) :args (@t155)) % 34.12/34.92 (step @p195 :rule instantiate :premises (@p81) :args ((@list @t88 tptp.xS))) % 34.12/34.92 (step @p196 :rule eq-symm :args (@t157 @t78)) % 34.12/34.92 (step @p197 :rule cong :premises (@p196) :args (@t158)) % 34.12/34.92 (step @p198 :rule refl :args (@t159)) % 34.12/34.92 (step @p199 :rule nary_cong :premises (@p198 @p197) :args (@t160)) % 34.12/34.92 (step @p200 :rule eq-symm :args (@t156 @t79)) % 34.12/34.92 (step @p201 :rule cong :premises (@p200 @p199) :args (@t161)) % 34.12/34.92 (step @p202 :rule refl :args (@t162)) % 34.12/34.92 (step @p203 :rule nary_cong :premises (@p202 @p201) :args (@t163)) % 34.12/34.92 (step @p204 :rule cong :premises (@p203) :args (@t165)) % 34.12/34.92 (step @p205 :rule quant-merge-prenex :args ((= (forall @t3 @t167) @t165))) % 34.12/34.92 (step @p206 :rule alpha_equiv :args (@t168 (@list @t156) @t100)) % 34.12/34.92 (step @p207 :rule refl :args (@t162)) % 34.12/34.92 (step @p208 :rule nary_cong :premises (@p207 @p206) :args (@t169)) % 34.12/34.92 (step @p209 :rule quant-miniscope-or :args ((= @t167 @t169))) % 34.12/34.92 (step @p210 :rule trans :premises (@p209 @p208)) % 34.12/34.92 (step @p211 :rule symm :premises (@p210)) % 34.12/34.92 (step @p212 :rule cong :premises (@p211) :args ((forall @t3 (or @t162 @t80)))) % 34.12/34.92 (step @p213 :rule trans :premises (@p212 @p205)) % 34.12/34.92 (step @p214 :rule trans :premises (@p213 @p204)) % 34.12/34.92 (step @p215 :rule bool-impl-elim :args (@t52 @t80)) % 34.12/34.92 (step @p216 :rule cong :premises (@p215) :args (@t81)) % 34.12/34.92 (step @p217 :rule trans :premises (@p216 @p214)) % 34.12/34.92 (step @p218 :rule eq_resolve :premises (@p50 @p217)) % 34.12/34.92 (step @p219 :rule bool-eq-true :args (@t173)) % 34.12/34.92 (step @p220 :rule eq-symm :args (true @t173)) % 34.12/34.92 (step @p221 :rule trans :premises (@p220 @p219)) % 34.12/34.92 (step @p222 :rule eq-symm :args (@t170 @t152)) % 34.12/34.92 (step @p223 :rule cong :premises (@p222) :args (@t174)) % 34.12/34.92 (step @p224 :rule refl :args (@t172)) % 34.12/34.92 (step @p225 :rule nary_cong :premises (@p224 @p223) :args (@t175)) % 34.12/34.92 (step @p226 :rule eq-refl :args (@t88)) % 34.12/34.92 (step @p227 :rule cong :premises (@p226 @p225) :args (@t176)) % 34.12/34.92 (step @p228 :rule trans :premises (@p227 @p221)) % 34.12/34.92 (step @p229 :rule refl :args (@t178)) % 34.12/34.92 (step @p230 :rule nary_cong :premises (@p229 @p228) :args (@t179)) % 34.12/34.92 (step @p231 :rule refl :args (@t180)) % 34.12/34.92 (step @p232 :rule cong :premises (@p231 @p230) :args ((=> @t180 @t179))) % 34.12/34.92 (assume-push @p325 @t180) % 34.12/34.92 (step @p234 :rule instantiate :premises (@p218) :args ((@list @t87 @t88))) % 34.12/34.92 (step-pop @p326 :rule scope :premises (@p234)) % 34.12/34.92 (step @p235 :rule process_scope :premises (@p326) :args (@t179)) % 34.12/34.92 (step @p237 :rule eq_resolve :premises (@p235 @p232)) % 34.12/34.92 (step @p238 :rule implies_elim :premises (@p237)) % 34.12/34.92 (step @p239 :rule chain_m_resolution :premises (@p238 @p218) :args (@t181 @t113 (@list @t180))) % 34.12/34.92 (step @p240 :rule bool-impl-elim :args (@t52 @t182)) % 34.12/34.92 (step @p241 :rule cong :premises (@p240) :args ((forall @t3 (=> @t52 @t182)))) % 34.12/34.92 (step @p242 :rule eq-symm :args (@t48 tptp.sz00)) % 34.12/34.92 (step @p243 :rule cong :premises (@p242) :args (@t49)) % 34.12/34.92 (step @p244 :rule refl :args (@t50)) % 34.12/34.92 (step @p245 :rule nary_cong :premises (@p244 @p243) :args (@t51)) % 34.12/34.92 (step @p246 :rule refl :args (@t52)) % 34.12/34.92 (step @p247 :rule cong :premises (@p246 @p245) :args (@t53)) % 34.12/34.92 (step @p248 :rule cong :premises (@p247) :args (@t54)) % 34.12/34.92 (step @p249 :rule trans :premises (@p248 @p241)) % 34.12/34.92 (step @p250 :rule eq_resolve :premises (@p25 @p249)) % 34.12/34.92 (step @p251 :rule instantiate :premises (@p250) :args (@t115)) % 34.12/34.92 (step @p252 :rule cnf_or_pos :args (@t185)) % 34.12/34.92 (step @p253 :rule reordering :premises (@p252) :args ((or @t184 @t183 (not @t185)))) % 34.12/34.92 (step @p254 :rule chain_m_resolution :premises (@p253 @p193 @p251) :args (@t183 @t110 (@list @t149 @t185))) % 34.12/34.92 (step @p255 :rule cnf_and_pos :args (@t183 0)) % 34.12/34.92 (step @p256 :rule reordering :premises (@p255) :args ((or @t177 (not @t183)))) % 34.12/34.92 (step @p257 :rule chain_m_resolution :premises (@p256 @p254) :args (@t177 @t113 (@list @t183))) % 34.12/34.92 (step @p258 :rule cnf_or_pos :args (@t181)) % 34.12/34.92 (step @p259 :rule reordering :premises (@p258) :args ((or @t178 @t173 (not @t181)))) % 34.12/34.92 (step @p260 :rule chain_m_resolution :premises (@p259 @p257 @p239) :args (@t173 @t110 (@list @t177 @t181))) % 34.12/34.92 (step @p261 :rule cnf_and_pos :args (@t173 0)) % 34.12/34.92 (step @p262 :rule reordering :premises (@p261) :args ((or @t172 @t186))) % 34.12/34.92 (step @p263 :rule chain_m_resolution :premises (@p262 @p260) :args (@t172 @t113 @t187)) % 34.12/34.92 (step @p264 :rule cnf_or_pos :args (@t191)) % 34.12/34.92 (step @p265 :rule reordering :premises (@p264) :args ((or @t190 @t189 (not @t191)))) % 34.12/34.92 (step @p266 :rule chain_m_resolution :premises (@p265 @p263 @p195) :args (@t189 @t110 (@list @t172 @t191))) % 34.12/34.92 (step @p267 :rule not_implies_elim2 :premises (@p183)) % 34.12/34.92 (step @p268 :rule cnf_equiv_pos2 :args (@t189)) % 34.12/34.92 (step @p269 :rule reordering :premises (@p268) :args ((or @t89 @t192 (not @t189)))) % 34.12/34.92 (step @p270 :rule chain_m_resolution :premises (@p269 @p267 @p266) :args (@t192 @t193 (@list @t89 @t189))) % 34.12/34.92 (step @p271 :rule cnf_and_pos :args (@t106 0)) % 34.12/34.92 (step @p272 :rule reordering :premises (@p271) :args ((or @t105 @t112))) % 34.12/34.92 (step @p273 :rule chain_m_resolution :premises (@p272 @p90) :args (@t105 @t113 @t114)) % 34.12/34.92 (step @p274 :rule cnf_and_neg :args (@t188)) % 34.12/34.92 (step @p275 :rule reordering :premises (@p274) :args ((or (not @t105) @t188 @t194))) % 34.12/34.92 (step @p276 :rule chain_m_resolution :premises (@p275 @p273 @p270) :args (@t194 @t195 (@list @t105 @t188))) % 34.12/34.92 (step @p277 :rule skolemize :premises (@p276)) % 34.12/34.92 (step @p278 :rule bool-double-not-elim :args (@t196)) % 34.12/34.92 (step @p279 :rule refl :args (@t199)) % 34.12/34.92 (step @p280 :rule nary_cong :premises (@p279 @p278) :args ((or @t199 (not @t198)))) % 34.12/34.92 (step @p281 :rule cnf_or_neg :args (@t199 0)) % 34.12/34.92 (step @p282 :rule eq_resolve :premises (@p281 @p280)) % 34.12/34.92 (step @p283 :rule reordering :premises (@p282) :args ((or @t196 @t199))) % 34.12/34.92 (step @p284 :rule chain_m_resolution :premises (@p283 @p277) :args (@t196 @t200 @t201)) % 34.12/34.92 (step @p285 :rule cnf_or_pos :args (@t203)) % 34.12/34.92 (step @p286 :rule reordering :premises (@p285) :args ((or @t198 @t202 (not @t203)))) % 34.12/34.92 (step @p287 :rule chain_m_resolution :premises (@p286 @p284 @p194) :args (@t202 @t110 (@list @t196 @t203))) % 34.12/34.92 (step @p288 :rule cnf_and_pos :args (@t137 1)) % 34.12/34.92 (step @p289 :rule reordering :premises (@p288) :args ((or @t135 @t147))) % 34.12/34.92 (step @p290 :rule chain_m_resolution :premises (@p289 @p187) :args (@t135 @t113 @t148)) % 34.12/34.92 (step @p291 :rule instantiate :premises (@p290) :args (@t155)) % 34.12/34.92 (step @p292 :rule cnf_or_pos :args (@t205)) % 34.12/34.92 (step @p293 :rule reordering :premises (@p292) :args ((or @t198 @t204 (not @t205)))) % 34.12/34.92 (step @p294 :rule chain_m_resolution :premises (@p293 @p284 @p291) :args (@t204 @t110 (@list @t196 @t205))) % 34.12/34.92 (step @p295 :rule cnf_and_pos :args (@t173 1)) % 34.12/34.92 (step @p296 :rule reordering :premises (@p295) :args ((or @t171 @t186))) % 34.12/34.92 (step @p297 :rule chain_m_resolution :premises (@p296 @p260) :args (@t171 @t113 @t187)) % 34.12/34.92 (step @p298 :rule instantiate :premises (@p297) :args (@t155)) % 34.12/34.93 (step @p299 :rule cnf_or_neg :args (@t199 1)) % 34.12/34.93 (step @p300 :rule chain_m_resolution :premises (@p299 @p277) :args ((not @t197) @t200 @t201)) % 34.12/34.93 (step @p301 :rule cnf_equiv_pos2 :args (@t208)) % 34.12/34.93 (step @p302 :rule reordering :premises (@p301) :args ((or @t197 @t209 (not @t208)))) % 34.12/34.93 (step @p303 :rule chain_m_resolution :premises (@p302 @p300 @p298) :args (@t209 @t193 (@list @t197 @t208))) % 34.12/34.93 (step @p304 :rule cnf_and_neg :args (@t207)) % 34.12/34.93 (step @p305 :rule reordering :premises (@p304) :args ((or @t211 @t207 @t210))) % 34.12/34.93 (step @p306 :rule chain_m_resolution :premises (@p305 @p287 @p303) :args (@t210 @t195 (@list @t202 @t207))) % 34.12/34.93 (step @p307 :rule cnf_equiv_pos1 :args (@t212)) % 34.12/34.93 (step @p308 :rule reordering :premises (@p307) :args ((or @t206 (not @t204) @t213))) % 34.12/34.93 (step @p309 :rule chain_m_resolution :premises (@p308 @p306 @p294) :args (@t213 @t193 (@list @t206 @t204))) % 34.12/34.93 (step @p310 :rule aci_norm :args ((= (or (or @t162 @t214) @t59) (or @t162 @t214 @t59)))) % 34.12/34.93 (step @p311 :rule refl :args (@t59)) % 34.12/34.93 (step @p312 :rule bool-and-de-morgan :args (@t52 @t56 true)) % 34.12/34.93 (step @p313 :rule nary_cong :premises (@p312 @p311) :args ((or (not @t57) @t59))) % 34.12/34.93 (step @p314 :rule trans :premises (@p313 @p310)) % 34.12/34.93 (step @p315 :rule bool-impl-elim :args (@t57 @t59)) % 34.12/34.93 (step @p316 :rule trans :premises (@p315 @p314)) % 34.12/34.93 (step @p317 :rule cong :premises (@p316) :args (@t60)) % 34.12/34.93 (step @p318 :rule eq_resolve :premises (@p32 @p317)) % 34.12/34.93 (step @p319 :rule instantiate :premises (@p318) :args ((@list @t154 @t86))) % 34.12/34.93 (step @p320 :rule cnf_or_pos :args (@t215)) % 34.12/34.93 (step @p321 :rule reordering :premises (@p320) :args ((or @t184 @t211 @t212 (not @t215)))) % 34.12/34.93 (step @p322 false :rule chain_m_resolution :premises (@p321 @p319 @p309 @p287 @p193) :args (false (@list false true false false) (@list @t215 @t212 @t202 @t149))) % 34.12/34.93 ) % 34.12/34.93 % SZS output end Proof % 34.12/34.93 % cvc5 exiting %------------------------------------------------------------------------------