%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM536+2 : 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 : n027.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 08:39:45 AM UTC 2026 % Result : Theorem 0.50s 0.75s % Output : Proof 0.50s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM536+2 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n027.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 11:28:36 EDT 2026 % 0.16/0.35 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.50/0.75 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.50/0.75 % SZS status Theorem % 0.50/0.75 % SZS output start Proof % 0.50/0.75 ( % 0.50/0.75 (declare-sort $$unsorted 0) % 0.50/0.75 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.75 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.75 (declare-const tptp.slcrc0 $$unsorted) % 0.50/0.75 (declare-const tptp.xS $$unsorted) % 0.50/0.75 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 0.50/0.75 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 0.50/0.75 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 0.50/0.75 (declare-const tptp.xx $$unsorted) % 0.50/0.75 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 0.50/0.75 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 0.50/0.75 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 0.50/0.75 (define @t1 () (@var "W0" $$unsorted)) % 0.50/0.75 (define @t2 () (tptp.aSet0 @t1)) % 0.50/0.75 (define @t3 () (@list @t1)) % 0.50/0.75 (define @t4 () (tptp.aElement0 @t1)) % 0.50/0.75 (define @t5 () (@var "W1" $$unsorted)) % 0.50/0.75 (define @t6 () (tptp.aElement0 @t5)) % 0.50/0.75 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 0.50/0.75 (define @t8 () (@list @t5)) % 0.50/0.75 (define @t9 () (forall @t8 (=> @t7 @t6))) % 0.50/0.75 (define @t10 () (=> @t2 @t9)) % 0.50/0.75 (define @t11 () (forall @t3 @t10)) % 0.50/0.75 (define @t12 () (tptp.isFinite0 @t1)) % 0.50/0.75 (define @t13 () (= @t1 tptp.slcrc0)) % 0.50/0.75 (define @t14 () (tptp.isCountable0 @t1)) % 0.50/0.75 (define @t15 () (and @t2 @t14)) % 0.50/0.75 (define @t16 () (@var "W2" $$unsorted)) % 0.50/0.75 (define @t17 () (tptp.aElementOf0 @t16 @t1)) % 0.50/0.75 (define @t18 () (tptp.aElementOf0 @t16 @t5)) % 0.50/0.75 (define @t19 () (@list @t16)) % 0.50/0.75 (define @t20 () (forall @t19 (=> @t18 @t17))) % 0.50/0.75 (define @t21 () (tptp.aSet0 @t5)) % 0.50/0.75 (define @t22 () (and @t21 @t20)) % 0.50/0.75 (define @t23 () (tptp.aSubsetOf0 @t5 @t1)) % 0.50/0.75 (define @t24 () (= @t23 @t22)) % 0.50/0.75 (define @t25 () (forall @t8 @t24)) % 0.50/0.75 (define @t26 () (=> @t2 @t25)) % 0.50/0.75 (define @t27 () (forall @t3 @t26)) % 0.50/0.75 (define @t28 () (= @t1 @t5)) % 0.50/0.75 (define @t29 () (tptp.aSubsetOf0 @t1 @t5)) % 0.50/0.75 (define @t30 () (and @t29 @t23)) % 0.50/0.75 (define @t31 () (=> @t30 @t28)) % 0.50/0.75 (define @t32 () (and @t2 @t21)) % 0.50/0.75 (define @t33 () (@list @t1 @t5)) % 0.50/0.75 (define @t34 () (forall @t33 (=> @t32 @t31))) % 0.50/0.75 (define @t35 () (tptp.aSet0 @t16)) % 0.50/0.75 (define @t36 () (@var "W3" $$unsorted)) % 0.50/0.75 (define @t37 () (= @t36 @t5)) % 0.50/0.75 (define @t38 () (tptp.aElementOf0 @t36 @t1)) % 0.50/0.75 (define @t39 () (tptp.aElement0 @t36)) % 0.50/0.75 (define @t40 () (tptp.aElementOf0 @t36 @t16)) % 0.50/0.75 (define @t41 () (@list @t36)) % 0.50/0.75 (define @t42 () (and @t2 @t6)) % 0.50/0.75 (define @t43 () (tptp.sdtmndt0 @t1 @t5)) % 0.50/0.75 (define @t44 () (tptp.aSet0 tptp.xS)) % 0.50/0.75 (define @t45 () (tptp.aElement0 tptp.xx)) % 0.50/0.75 (define @t46 () (tptp.aElementOf0 tptp.xx tptp.xS)) % 0.50/0.75 (define @t47 () (tptp.sdtpldt0 tptp.xS tptp.xx)) % 0.50/0.75 (define @t48 () (tptp.sdtmndt0 @t47 tptp.xx)) % 0.50/0.75 (define @t49 () (= @t1 tptp.xx)) % 0.50/0.75 (define @t50 () (tptp.aElementOf0 @t1 @t47)) % 0.50/0.75 (define @t51 () (forall @t3 (= (tptp.aElementOf0 @t1 @t48) (and @t4 @t50 (not @t49))))) % 0.50/0.75 (define @t52 () (tptp.aSet0 @t48)) % 0.50/0.75 (define @t53 () (and @t52 @t51)) % 0.50/0.75 (define @t54 () (=> @t53 (= @t48 tptp.xS))) % 0.50/0.75 (define @t55 () (forall @t3 (= @t50 (and @t4 (or (tptp.aElementOf0 @t1 tptp.xS) @t49))))) % 0.50/0.75 (define @t56 () (and (tptp.aSet0 @t47) @t55)) % 0.50/0.75 (define @t57 () (=> @t56 @t54)) % 0.50/0.75 (define @t58 () (not @t57)) % 0.50/0.75 (define @t59 () (tptp.aElementOf0 @t16 tptp.xS)) % 0.50/0.75 (define @t60 () (tptp.aElementOf0 @t16 @t48)) % 0.50/0.75 (define @t61 () (forall @t19 (or (not @t60) @t59))) % 0.50/0.75 (define @t62 () (@quantifiers_skolemize @t61 0)) % 0.50/0.75 (define @t63 () (tptp.aElementOf0 @t62 tptp.xS)) % 0.50/0.75 (define @t64 () (= @t62 tptp.xx)) % 0.50/0.75 (define @t65 () (or @t63 @t64)) % 0.50/0.75 (define @t66 () (tptp.aElement0 @t62)) % 0.50/0.75 (define @t67 () (and @t66 @t65)) % 0.50/0.75 (define @t68 () (tptp.aElementOf0 @t62 @t47)) % 0.50/0.75 (define @t69 () (= @t68 @t67)) % 0.50/0.75 (define @t70 () (@list @t62)) % 0.50/0.75 (define @t71 () (= tptp.xx @t62)) % 0.50/0.75 (define @t72 () (or @t63 @t71)) % 0.50/0.75 (define @t73 () (and @t66 @t72)) % 0.50/0.75 (define @t74 () (= @t68 @t73)) % 0.50/0.75 (define @t75 () (@list false)) % 0.50/0.75 (define @t76 () (@list @t55)) % 0.50/0.75 (define @t77 () (not @t64)) % 0.50/0.75 (define @t78 () (and @t66 @t68 @t77)) % 0.50/0.75 (define @t79 () (tptp.aElementOf0 @t62 @t48)) % 0.50/0.75 (define @t80 () (= @t79 @t78)) % 0.50/0.75 (define @t81 () (not @t71)) % 0.50/0.75 (define @t82 () (and @t66 @t68 @t81)) % 0.50/0.75 (define @t83 () (= @t79 @t82)) % 0.50/0.75 (define @t84 () (@list @t51)) % 0.50/0.75 (define @t85 () (@var "BOUND_VARIABLE_7620" $$unsorted)) % 0.50/0.75 (define @t86 () (= (tptp.aSubsetOf0 @t85 @t1) (and (tptp.aSet0 @t85) (forall @t19 (or (not (tptp.aElementOf0 @t16 @t85)) @t17))))) % 0.50/0.75 (define @t87 () (not @t2)) % 0.50/0.75 (define @t88 () (or @t87 @t86)) % 0.50/0.75 (define @t89 () (@list @t85)) % 0.50/0.75 (define @t90 () (forall @t89 @t88)) % 0.50/0.75 (define @t91 () (forall @t89 @t86)) % 0.50/0.75 (define @t92 () (@list @t5)) % 0.50/0.75 (define @t93 () (or @t87 @t91)) % 0.50/0.75 (define @t94 () (forall @t8 (= @t23 (and @t21 (forall @t19 (or (not @t18) @t17)))))) % 0.50/0.75 (define @t95 () (@list tptp.xS @t48)) % 0.50/0.75 (define @t96 () (and @t52 @t61)) % 0.50/0.75 (define @t97 () (tptp.aSubsetOf0 @t48 tptp.xS)) % 0.50/0.75 (define @t98 () (= @t97 @t96)) % 0.50/0.75 (define @t99 () (not @t44)) % 0.50/0.75 (define @t100 () (or @t99 @t98)) % 0.50/0.75 (define @t101 () (@list false false)) % 0.50/0.75 (define @t102 () (not @t23)) % 0.50/0.75 (define @t103 () (not @t29)) % 0.50/0.75 (define @t104 () (not @t21)) % 0.50/0.75 (define @t105 () (or @t103 @t102 @t28)) % 0.50/0.75 (define @t106 () (not @t59)) % 0.50/0.75 (define @t107 () (forall @t19 (or @t106 @t60))) % 0.50/0.75 (define @t108 () (and @t44 @t107)) % 0.50/0.75 (define @t109 () (tptp.aSubsetOf0 tptp.xS @t48)) % 0.50/0.75 (define @t110 () (= @t109 @t108)) % 0.50/0.75 (define @t111 () (not @t52)) % 0.50/0.75 (define @t112 () (or @t111 @t110)) % 0.50/0.75 (define @t113 () (@quantifiers_skolemize @t107 0)) % 0.50/0.75 (define @t114 () (tptp.aElementOf0 @t113 tptp.xS)) % 0.50/0.75 (define @t115 () (tptp.aElementOf0 @t113 @t48)) % 0.50/0.75 (define @t116 () (not @t114)) % 0.50/0.75 (define @t117 () (or @t116 @t115)) % 0.50/0.75 (define @t118 () (@var "BOUND_VARIABLE_7571" $$unsorted)) % 0.50/0.75 (define @t119 () (tptp.aElement0 @t118)) % 0.50/0.75 (define @t120 () (not (tptp.aElementOf0 @t118 @t1))) % 0.50/0.75 (define @t121 () (or @t120 @t119)) % 0.50/0.75 (define @t122 () (or @t87 @t121)) % 0.50/0.75 (define @t123 () (forall (@list @t1 @t118) @t122)) % 0.50/0.75 (define @t124 () (@list @t118)) % 0.50/0.75 (define @t125 () (forall @t124 @t122)) % 0.50/0.75 (define @t126 () (forall @t124 @t121)) % 0.50/0.75 (define @t127 () (or @t87 @t126)) % 0.50/0.75 (define @t128 () (forall @t8 (or (not @t7) @t6))) % 0.50/0.75 (define @t129 () (tptp.aElement0 @t113)) % 0.50/0.75 (define @t130 () (or @t99 @t116 @t129)) % 0.50/0.75 (define @t131 () (tptp.aElementOf0 @t16 @t47)) % 0.50/0.75 (define @t132 () (forall @t19 (or @t106 @t131))) % 0.50/0.75 (define @t133 () (@quantifiers_skolemize @t132 0)) % 0.50/0.75 (define @t134 () (tptp.aElementOf0 @t133 tptp.xS)) % 0.50/0.75 (define @t135 () (tptp.aElementOf0 @t133 @t47)) % 0.50/0.75 (define @t136 () (not @t134)) % 0.50/0.75 (define @t137 () (or @t136 @t135)) % 0.50/0.75 (define @t138 () (or @t134 (= tptp.xx @t133))) % 0.50/0.75 (define @t139 () (tptp.aElement0 @t133)) % 0.50/0.75 (define @t140 () (or @t99 @t136 @t139)) % 0.50/0.75 (define @t141 () (or @t134 (= @t133 tptp.xx))) % 0.50/0.75 (define @t142 () (and @t139 @t141)) % 0.50/0.75 (define @t143 () (= @t135 @t142)) % 0.50/0.75 (define @t144 () (and @t139 @t138)) % 0.50/0.75 (define @t145 () (= @t135 @t144)) % 0.50/0.75 (define @t146 () (not @t137)) % 0.50/0.75 (define @t147 () (not @t132)) % 0.50/0.75 (define @t148 () (@list @t113)) % 0.50/0.75 (define @t149 () (tptp.aElementOf0 @t113 @t47)) % 0.50/0.75 (define @t150 () (or @t116 @t149)) % 0.50/0.75 (define @t151 () (not (= @t113 tptp.xx))) % 0.50/0.75 (define @t152 () (and @t129 @t149 @t151)) % 0.50/0.75 (define @t153 () (= @t115 @t152)) % 0.50/0.75 (define @t154 () (= tptp.xx @t113)) % 0.50/0.75 (define @t155 () (not @t154)) % 0.50/0.75 (define @t156 () (and @t129 @t149 @t155)) % 0.50/0.75 (define @t157 () (= @t115 @t156)) % 0.50/0.75 (define @t158 () (not @t149)) % 0.50/0.75 (define @t159 () (not @t129)) % 0.50/0.75 (define @t160 () (tptp.aElementOf0 tptp.xx @t47)) % 0.50/0.75 (define @t161 () (or @t46 (= tptp.xx tptp.xx))) % 0.50/0.75 (define @t162 () (and @t45 @t161)) % 0.50/0.75 (define @t163 () (= @t160 @t162)) % 0.50/0.75 (define @t164 () (@list tptp.xx)) % 0.50/0.75 (define @t165 () (= @t45 @t160)) % 0.50/0.75 (define @t166 () (not @t160)) % 0.50/0.75 (define @t167 () (or @t166 @t46)) % 0.50/0.75 (define @t168 () (not @t167)) % 0.50/0.75 (define @t169 () (@list true false)) % 0.50/0.75 (define @t170 () (forall @t19 (or (not @t131) @t59))) % 0.50/0.75 (define @t171 () (not @t170)) % 0.50/0.75 (define @t172 () (@list true)) % 0.50/0.75 (define @t173 () (@quantifiers_skolemize @t170 0)) % 0.50/0.75 (define @t174 () (tptp.aElementOf0 @t173 tptp.xS)) % 0.50/0.75 (define @t175 () (tptp.aElementOf0 @t173 @t47)) % 0.50/0.75 (define @t176 () (not @t175)) % 0.50/0.75 (define @t177 () (or @t176 @t174)) % 0.50/0.75 (define @t178 () (not @t177)) % 0.50/0.75 (define @t179 () (not @t174)) % 0.50/0.75 (define @t180 () (@list @t177)) % 0.50/0.75 (define @t181 () (or @t174 (= @t173 tptp.xx))) % 0.50/0.75 (define @t182 () (tptp.aElement0 @t173)) % 0.50/0.75 (define @t183 () (and @t182 @t181)) % 0.50/0.75 (define @t184 () (= @t175 @t183)) % 0.50/0.75 (define @t185 () (= tptp.xx @t173)) % 0.50/0.75 (define @t186 () (or @t174 @t185)) % 0.50/0.75 (define @t187 () (and @t182 @t186)) % 0.50/0.75 (define @t188 () (= @t175 @t187)) % 0.50/0.75 (define @t189 () (not @t185)) % 0.50/0.75 (define @t190 () (and @t179 @t185 @t154 @t114)) % 0.50/0.75 (define @t191 () (not @t117)) % 0.50/0.75 (define @t192 () (not @t107)) % 0.50/0.75 (define @t193 () (= tptp.xS @t48)) % 0.50/0.75 (define @t194 () (not @t97)) % 0.50/0.75 (define @t195 () (not @t109)) % 0.50/0.75 (define @t196 () (or @t99 @t111 @t195 @t194 @t193)) % 0.50/0.75 (define @t197 () (not @t96)) % 0.50/0.75 (define @t198 () (not @t61)) % 0.50/0.75 (define @t199 () (not @t79)) % 0.50/0.75 (define @t200 () (or @t199 @t63)) % 0.50/0.75 (define @t201 () (not @t200)) % 0.50/0.75 (define @t202 () (@list @t200)) % 0.50/0.75 (define @t203 () (not @t82)) % 0.50/0.75 (define @t204 () (@list @t82)) % 0.50/0.75 (define @t205 () (not @t72)) % 0.50/0.75 (assume @p1 (forall @t3 (=> @t2 true))) % 0.50/0.75 (assume @p2 (forall @t3 (=> @t4 true))) % 0.50/0.75 (assume @p3 @t11) % 0.50/0.75 (assume @p4 (forall @t3 (=> @t2 (=> @t12 true)))) % 0.50/0.75 (assume @p5 (forall @t3 (= @t13 (and @t2 (not (exists @t8 @t7)))))) % 0.50/0.75 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 0.50/0.75 (assume @p7 (forall @t3 (=> @t2 (=> @t14 true)))) % 0.50/0.75 (assume @p8 (forall @t3 (=> @t15 (not @t12)))) % 0.50/0.75 (assume @p9 (forall @t3 (=> @t15 (not @t13)))) % 0.50/0.75 (assume @p10 @t27) % 0.50/0.75 (assume @p11 (forall @t3 (=> (and @t2 @t12) (forall @t8 (=> @t23 (tptp.isFinite0 @t5)))))) % 0.50/0.75 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 0.50/0.75 (assume @p13 @t34) % 0.50/0.75 (assume @p14 (forall (@list @t1 @t5 @t16) (=> (and @t2 @t21 @t35) (=> (and @t29 (tptp.aSubsetOf0 @t5 @t16)) (tptp.aSubsetOf0 @t1 @t16))))) % 0.50/0.75 (assume @p15 (forall @t33 (=> @t42 (forall @t19 (= (= @t16 (tptp.sdtpldt0 @t1 @t5)) (and @t35 (forall @t41 (= @t40 (and @t39 (or @t38 @t37)))))))))) % 0.50/0.75 (assume @p16 (forall @t33 (=> @t42 (forall @t19 (= (= @t16 @t43) (and @t35 (forall @t41 (= @t40 (and @t39 @t38 (not @t37)))))))))) % 0.50/0.75 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t43 @t5) @t1)))))) % 0.50/0.75 (assume @p18 (and @t45 @t44)) % 0.50/0.75 (assume @p19 (not @t46)) % 0.50/0.75 (assume @p20 @t58) % 0.50/0.75 (assume @p21 true) % 0.50/0.75 (step @p22 :rule eq-symm :args (@t48 tptp.xS)) % 0.50/0.75 (step @p23 :rule refl :args (@t53)) % 0.50/0.75 (step @p24 :rule cong :premises (@p23 @p22) :args (@t54)) % 0.50/0.75 (step @p25 :rule refl :args (@t56)) % 0.50/0.75 (step @p26 :rule cong :premises (@p25 @p24) :args (@t57)) % 0.50/0.75 (step @p27 :rule cong :premises (@p26) :args (@t58)) % 0.50/0.75 (step @p28 :rule eq_resolve :premises (@p20 @p27)) % 0.50/0.75 (step @p29 :rule not_implies_elim1 :premises (@p28)) % 0.50/0.75 (step @p30 :rule and_elim :premises (@p29) :args (1)) % 0.50/0.75 (step @p31 :rule eq-symm :args (@t62 tptp.xx)) % 0.50/0.75 (step @p32 :rule refl :args (@t63)) % 0.50/0.75 (step @p33 :rule nary_cong :premises (@p32 @p31) :args (@t65)) % 0.50/0.75 (step @p34 :rule refl :args (@t66)) % 0.50/0.75 (step @p35 :rule nary_cong :premises (@p34 @p33) :args (@t67)) % 0.50/0.75 (step @p36 :rule refl :args (@t68)) % 0.50/0.75 (step @p37 :rule cong :premises (@p36 @p35) :args (@t69)) % 0.50/0.75 (step @p38 :rule refl :args (@t55)) % 0.50/0.75 (step @p39 :rule cong :premises (@p38 @p37) :args ((=> @t55 @t69))) % 0.50/0.75 (assume-push @p396 @t55) % 0.50/0.75 (step @p41 :rule instantiate :premises (@p30) :args (@t70)) % 0.50/0.75 (step-pop @p397 :rule scope :premises (@p41)) % 0.50/0.75 (step @p42 :rule process_scope :premises (@p397) :args (@t69)) % 0.50/0.75 (step @p44 :rule eq_resolve :premises (@p42 @p39)) % 0.50/0.75 (step @p45 :rule implies_elim :premises (@p44)) % 0.50/0.75 (step @p46 :rule chain_m_resolution :premises (@p45 @p30) :args (@t74 @t75 @t76)) % 0.50/0.75 (step @p47 :rule not_implies_elim2 :premises (@p28)) % 0.50/0.75 (step @p48 :rule not_implies_elim1 :premises (@p47)) % 0.50/0.75 (step @p49 :rule and_elim :premises (@p48) :args (1)) % 0.50/0.75 (step @p50 :rule cong :premises (@p31) :args (@t77)) % 0.50/0.75 (step @p51 :rule nary_cong :premises (@p34 @p36 @p50) :args (@t78)) % 0.50/0.75 (step @p52 :rule refl :args (@t79)) % 0.50/0.75 (step @p53 :rule cong :premises (@p52 @p51) :args (@t80)) % 0.50/0.75 (step @p54 :rule refl :args (@t51)) % 0.50/0.75 (step @p55 :rule cong :premises (@p54 @p53) :args ((=> @t51 @t80))) % 0.50/0.75 (assume-push @p398 @t51) % 0.50/0.75 (step @p57 :rule instantiate :premises (@p49) :args (@t70)) % 0.50/0.75 (step-pop @p399 :rule scope :premises (@p57)) % 0.50/0.75 (step @p58 :rule process_scope :premises (@p399) :args (@t80)) % 0.50/0.75 (step @p60 :rule eq_resolve :premises (@p58 @p55)) % 0.50/0.75 (step @p61 :rule implies_elim :premises (@p60)) % 0.50/0.75 (step @p62 :rule chain_m_resolution :premises (@p61 @p49) :args (@t83 @t75 @t84)) % 0.50/0.75 (step @p63 :rule quant-merge-prenex 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0.50/0.75 (step @p288 :rule cnf_and_pos :args (@t187 1)) % 0.50/0.75 (step @p289 :rule reordering :premises (@p288) :args ((or @t186 (not @t187)))) % 0.50/0.75 (step @p290 :rule chain_m_resolution :premises (@p289 @p287) :args (@t186 @t75 (@list @t187))) % 0.50/0.75 (step @p291 :rule cnf_or_pos :args (@t186)) % 0.50/0.75 (step @p292 :rule reordering :premises (@p291) :args ((or @t174 @t185 (not @t186)))) % 0.50/0.75 (step @p293 :rule chain_m_resolution :premises (@p292 @p262 @p290) :args (@t185 @t169 (@list @t174 @t186))) % 0.50/0.75 (step @p294 :rule refl :args (@t155)) % 0.50/0.75 (step @p295 :rule refl :args (@t116)) % 0.50/0.75 (step @p296 :rule refl :args (@t189)) % 0.50/0.75 (step @p297 :rule bool-double-not-elim :args (@t174)) % 0.50/0.75 (step @p298 :rule nary_cong :premises (@p297 @p296 @p295 @p294) :args ((or (not @t179) @t189 @t116 @t155))) % 0.50/0.75 (assume-push @p416 @t179) % 0.50/0.75 (assume-push @p417 @t185) % 0.50/0.75 (assume-push @p418 @t154) % 0.50/0.75 (assume-push @p419 @t114) % 0.50/0.75 (step @p303 :rule evaluate :args ((= true false))) % 0.50/0.75 (step @p304 :rule false_intro :premises (@p416)) % 0.50/0.75 (step @p305 :rule refl :args (tptp.xS)) % 0.50/0.75 (step @p306 :rule symm :premises (@p418)) % 0.50/0.75 (step @p307 :rule trans :premises (@p306 @p417)) % 0.50/0.75 (step @p308 :rule cong :premises (@p307 @p305) :args (@t114)) % 0.50/0.75 (step @p309 :rule true_intro :premises (@p419)) % 0.50/0.75 (step @p310 :rule symm :premises (@p309)) % 0.50/0.75 (step @p311 :rule trans :premises (@p310 @p308 @p304)) % 0.50/0.75 (step @p312 false :rule eq_resolve :premises (@p311 @p303)) % 0.50/0.75 (step-pop @p420 :rule scope :premises (@p312)) % 0.50/0.75 (step-pop @p421 :rule scope :premises (@p420)) % 0.50/0.75 (step-pop @p422 :rule scope :premises (@p421)) % 0.50/0.75 (step-pop @p423 :rule scope :premises (@p422)) % 0.50/0.75 (step @p313 :rule process_scope :premises (@p423) :args (false)) % 0.50/0.75 (assume-push @p424 @t179) % 0.50/0.75 (assume-push @p425 @t185) % 0.50/0.75 (assume-push @p426 @t114) % 0.50/0.75 (assume-push @p427 @t154) % 0.50/0.75 (step @p322 :rule and_intro :premises (@p424 @p425 @p427 @p426)) % 0.50/0.75 (step-pop @p428 :rule scope :premises (@p322)) % 0.50/0.75 (step-pop @p429 :rule scope :premises (@p428)) % 0.50/0.75 (step-pop @p430 :rule scope :premises (@p429)) % 0.50/0.75 (step-pop @p431 :rule scope :premises (@p430)) % 0.50/0.75 (step @p323 :rule process_scope :premises (@p431) :args (@t190)) % 0.50/0.75 (step @p328 :rule implies_elim :premises (@p323)) % 0.50/0.75 (step @p329 :rule resolution :premises (@p328 @p313) :args (true @t190)) % 0.50/0.75 (step @p330 :rule not_and :premises (@p329)) % 0.50/0.75 (step @p331 :rule eq_resolve :premises (@p330 @p298)) % 0.50/0.75 (step @p332 :rule chain_m_resolution :premises (@p331 @p293 @p262 @p216 @p208 @p206 @p191 @p189 @p142 @p140 @p88 @p119 @p118) :args (@t117 (@list false true false true false false false false false false true false) (@list @t185 @t174 @t154 @t156 @t157 @t149 @t150 @t129 @t130 @t44 @t115 @t114))) % 0.50/0.75 (step @p333 :rule refl :args (@t191)) % 0.50/0.75 (step @p334 :rule bool-double-not-elim :args (@t107)) % 0.50/0.75 (step @p335 :rule nary_cong :premises (@p334 @p333) :args ((or (not @t192) @t191))) % 0.50/0.75 (assume-push @p432 @t192) % 0.50/0.75 (step @p337 :rule skolemize :premises (@p432)) % 0.50/0.75 (step-pop @p433 :rule scope :premises (@p337)) % 0.50/0.75 (step @p338 :rule process_scope :premises (@p433) :args (@t191)) % 0.50/0.75 (step @p340 :rule implies_elim :premises (@p338)) % 0.50/0.75 (step @p341 :rule eq_resolve :premises (@p340 @p335)) % 0.50/0.75 (step @p342 :rule chain_m_resolution :premises (@p341 @p332) :args (@t107 @t75 (@list @t117))) % 0.50/0.75 (step @p343 :rule cnf_and_neg :args (@t108)) % 0.50/0.75 (step @p344 :rule reordering :premises (@p343) :args ((or @t99 @t108 @t192))) % 0.50/0.75 (step @p345 :rule chain_m_resolution :premises (@p344 @p88 @p342) :args (@t108 @t101 (@list @t44 @t107))) % 0.50/0.75 (step @p346 :rule cnf_equiv_pos2 :args (@t110)) % 0.50/0.75 (step @p347 :rule reordering :premises (@p346) :args ((or @t109 (not @t108) (not @t110)))) % 0.50/0.76 (step @p348 :rule chain_m_resolution :premises (@p347 @p345 @p112) :args (@t109 @t101 (@list @t108 @t110))) % 0.50/0.76 (step @p349 :rule not_implies_elim2 :premises (@p47)) % 0.50/0.76 (step @p350 :rule cnf_or_pos :args (@t196)) % 0.50/0.76 (step @p351 :rule reordering :premises (@p350) :args ((or @t193 @t99 @t111 @t195 @t194 (not @t196)))) % 0.50/0.76 (step @p352 :rule chain_m_resolution :premises (@p351 @p349 @p88 @p109 @p348 @p107) :args (@t194 (@list true false false false false) (@list @t193 @t44 @t52 @t109 @t196))) % 0.50/0.76 (step @p353 :rule cnf_equiv_pos2 :args (@t98)) % 0.50/0.76 (step @p354 :rule reordering :premises (@p353) :args ((or @t97 @t197 (not @t98)))) % 0.50/0.76 (step @p355 :rule chain_m_resolution :premises (@p354 @p352 @p91) :args (@t197 @t169 (@list @t97 @t98))) % 0.50/0.76 (step @p356 :rule cnf_and_neg :args (@t96)) % 0.50/0.76 (step @p357 :rule reordering :premises (@p356) :args ((or @t111 @t96 @t198))) % 0.50/0.76 (step @p358 :rule chain_m_resolution :premises (@p357 @p109 @p355) :args (@t198 (@list false true) (@list @t52 @t96))) % 0.50/0.76 (step @p359 :rule refl :args (@t201)) % 0.50/0.76 (step @p360 :rule bool-double-not-elim :args (@t61)) % 0.50/0.76 (step @p361 :rule nary_cong :premises (@p360 @p359) :args ((or (not @t198) @t201))) % 0.50/0.76 (assume-push @p434 @t198) % 0.50/0.76 (step @p363 :rule skolemize :premises (@p434)) % 0.50/0.76 (step-pop @p435 :rule scope :premises (@p363)) % 0.50/0.76 (step @p364 :rule process_scope :premises (@p435) :args (@t201)) % 0.50/0.76 (step @p366 :rule implies_elim :premises (@p364)) % 0.50/0.76 (step @p367 :rule eq_resolve :premises (@p366 @p361)) % 0.50/0.76 (step @p368 :rule chain_m_resolution :premises (@p367 @p358) :args (@t201 @t172 (@list @t61))) % 0.50/0.76 (step @p369 :rule bool-double-not-elim :args (@t79)) % 0.50/0.76 (step @p370 :rule refl :args (@t200)) % 0.50/0.76 (step @p371 :rule nary_cong :premises (@p370 @p369) :args ((or @t200 (not @t199)))) % 0.50/0.76 (step @p372 :rule cnf_or_neg :args (@t200 0)) % 0.50/0.76 (step @p373 :rule eq_resolve :premises (@p372 @p371)) % 0.50/0.76 (step @p374 :rule reordering :premises (@p373) :args ((or @t79 @t200))) % 0.50/0.76 (step @p375 :rule chain_m_resolution :premises (@p374 @p368) :args (@t79 @t172 @t202)) % 0.50/0.76 (step @p376 :rule cnf_equiv_pos1 :args (@t83)) % 0.50/0.76 (step @p377 :rule reordering :premises (@p376) :args ((or @t199 @t82 (not @t83)))) % 0.50/0.76 (step @p378 :rule chain_m_resolution :premises (@p377 @p375 @p62) :args (@t82 @t101 (@list @t79 @t83))) % 0.50/0.76 (step @p379 :rule cnf_and_pos :args (@t82 1)) % 0.50/0.76 (step @p380 :rule reordering :premises (@p379) :args ((or @t68 @t203))) % 0.50/0.76 (step @p381 :rule chain_m_resolution :premises (@p380 @p378) :args (@t68 @t75 @t204)) % 0.50/0.76 (step @p382 :rule cnf_equiv_pos1 :args (@t74)) % 0.50/0.76 (step @p383 :rule reordering :premises (@p382) :args ((or @t73 (not @t68) (not @t74)))) % 0.50/0.76 (step @p384 :rule chain_m_resolution :premises (@p383 @p381 @p46) :args (@t73 @t101 (@list @t68 @t74))) % 0.50/0.76 (step @p385 :rule cnf_and_pos :args (@t82 2)) % 0.50/0.76 (step @p386 :rule reordering :premises (@p385) :args ((or @t81 @t203))) % 0.50/0.76 (step @p387 :rule chain_m_resolution :premises (@p386 @p378) :args (@t81 @t75 @t204)) % 0.50/0.76 (step @p388 :rule cnf_or_neg :args (@t200 1)) % 0.50/0.76 (step @p389 :rule chain_m_resolution :premises (@p388 @p368) :args ((not @t63) @t172 @t202)) % 0.50/0.76 (step @p390 :rule cnf_or_pos :args (@t72)) % 0.50/0.76 (step @p391 :rule reordering :premises (@p390) :args ((or @t63 @t71 @t205))) % 0.50/0.76 (step @p392 :rule chain_m_resolution :premises (@p391 @p389 @p387) :args (@t205 (@list true true) (@list @t63 @t71))) % 0.50/0.76 (step @p393 :rule cnf_and_pos :args (@t73 1)) % 0.50/0.76 (step @p394 :rule reordering :premises (@p393) :args ((or @t72 (not @t73)))) % 0.50/0.76 (step @p395 false :rule chain_m_resolution :premises (@p394 @p392 @p384) :args (false @t169 (@list @t72 @t73))) % 0.50/0.76 ) % 0.50/0.76 % SZS output end Proof % 0.50/0.76 % cvc5 exiting %------------------------------------------------------------------------------