%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM534+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 : n005.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 0.35s 0.74s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : NUM534+2 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.15 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.36 % Computer : n005.cluster.edu % 0.17/0.36 % Model : x86_64 x86_64 % 0.17/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.36 % Memory : 8042.1875MB % 0.17/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.36 % CPULimit : 300 % 0.17/0.36 % WCLimit : 300 % 0.17/0.36 % DateTime : Tue Jun 2 11:28:03 EDT 2026 % 0.17/0.36 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.35/0.74 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/0.74 % SZS status Theorem % 0.35/0.74 % SZS output start Proof % 0.35/0.74 ( % 0.35/0.74 (declare-sort $$unsorted 0) % 0.35/0.74 (declare-const tptp.xx $$unsorted) % 0.35/0.74 (declare-const tptp.xS $$unsorted) % 0.35/0.74 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.74 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.74 (declare-const tptp.slcrc0 $$unsorted) % 0.35/0.74 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 0.35/0.74 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 0.35/0.74 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 0.35/0.74 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 0.35/0.74 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 0.35/0.74 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 0.35/0.74 (define @t1 () (@var "W0" $$unsorted)) % 0.35/0.74 (define @t2 () (tptp.aSet0 @t1)) % 0.35/0.74 (define @t3 () (@list @t1)) % 0.35/0.74 (define @t4 () (tptp.aElement0 @t1)) % 0.35/0.74 (define @t5 () (@var "W1" $$unsorted)) % 0.35/0.74 (define @t6 () (tptp.aElement0 @t5)) % 0.35/0.74 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 0.35/0.74 (define @t8 () (@list @t5)) % 0.35/0.74 (define @t9 () (forall @t8 (=> @t7 @t6))) % 0.35/0.74 (define @t10 () (=> @t2 @t9)) % 0.35/0.74 (define @t11 () (forall @t3 @t10)) % 0.35/0.74 (define @t12 () (tptp.isFinite0 @t1)) % 0.35/0.74 (define @t13 () (= @t1 tptp.slcrc0)) % 0.35/0.74 (define @t14 () (tptp.isCountable0 @t1)) % 0.35/0.74 (define @t15 () (and @t2 @t14)) % 0.35/0.74 (define @t16 () (@var "W2" $$unsorted)) % 0.35/0.74 (define @t17 () (tptp.aElementOf0 @t16 @t1)) % 0.35/0.74 (define @t18 () (tptp.aElementOf0 @t16 @t5)) % 0.35/0.74 (define @t19 () (@list @t16)) % 0.35/0.74 (define @t20 () (forall @t19 (=> @t18 @t17))) % 0.35/0.74 (define @t21 () (tptp.aSet0 @t5)) % 0.35/0.74 (define @t22 () (and @t21 @t20)) % 0.35/0.74 (define @t23 () (tptp.aSubsetOf0 @t5 @t1)) % 0.35/0.74 (define @t24 () (= @t23 @t22)) % 0.35/0.74 (define @t25 () (forall @t8 @t24)) % 0.35/0.74 (define @t26 () (=> @t2 @t25)) % 0.35/0.74 (define @t27 () (forall @t3 @t26)) % 0.35/0.74 (define @t28 () (= @t1 @t5)) % 0.35/0.74 (define @t29 () (tptp.aSubsetOf0 @t1 @t5)) % 0.35/0.74 (define @t30 () (and @t29 @t23)) % 0.35/0.74 (define @t31 () (=> @t30 @t28)) % 0.35/0.74 (define @t32 () (and @t2 @t21)) % 0.35/0.74 (define @t33 () (@list @t1 @t5)) % 0.35/0.74 (define @t34 () (forall @t33 (=> @t32 @t31))) % 0.35/0.74 (define @t35 () (tptp.aSet0 @t16)) % 0.35/0.74 (define @t36 () (@var "W3" $$unsorted)) % 0.35/0.74 (define @t37 () (= @t36 @t5)) % 0.35/0.74 (define @t38 () (tptp.aElementOf0 @t36 @t1)) % 0.35/0.74 (define @t39 () (tptp.aElement0 @t36)) % 0.35/0.74 (define @t40 () (tptp.aElementOf0 @t36 @t16)) % 0.35/0.74 (define @t41 () (@list @t36)) % 0.35/0.74 (define @t42 () (and @t2 @t6)) % 0.35/0.74 (define @t43 () (tptp.aSet0 tptp.xS)) % 0.35/0.74 (define @t44 () (tptp.aElementOf0 tptp.xx tptp.xS)) % 0.35/0.74 (define @t45 () (tptp.sdtmndt0 tptp.xS tptp.xx)) % 0.35/0.74 (define @t46 () (tptp.sdtpldt0 @t45 tptp.xx)) % 0.35/0.74 (define @t47 () (= @t1 tptp.xx)) % 0.35/0.74 (define @t48 () (tptp.aElementOf0 @t1 @t45)) % 0.35/0.74 (define @t49 () (forall @t3 (= (tptp.aElementOf0 @t1 @t46) (and @t4 (or @t48 @t47))))) % 0.35/0.74 (define @t50 () (tptp.aSet0 @t46)) % 0.35/0.74 (define @t51 () (and @t50 @t49)) % 0.35/0.74 (define @t52 () (=> @t51 (= @t46 tptp.xS))) % 0.35/0.74 (define @t53 () (forall @t3 (= @t48 (and @t4 (tptp.aElementOf0 @t1 tptp.xS) (not @t47))))) % 0.35/0.74 (define @t54 () (tptp.aSet0 @t45)) % 0.35/0.74 (define @t55 () (and @t54 @t53)) % 0.35/0.74 (define @t56 () (=> @t55 @t52)) % 0.35/0.74 (define @t57 () (not @t56)) % 0.35/0.74 (define @t58 () (tptp.aElementOf0 tptp.xx @t45)) % 0.35/0.74 (define @t59 () (tptp.aElement0 tptp.xx)) % 0.35/0.74 (define @t60 () (not (= tptp.xx tptp.xx))) % 0.35/0.74 (define @t61 () (and @t59 @t44 @t60)) % 0.35/0.74 (define @t62 () (= @t58 @t61)) % 0.35/0.74 (define @t63 () (@list tptp.xx)) % 0.35/0.74 (define @t64 () (@list false)) % 0.35/0.74 (define @t65 () (@list @t53)) % 0.35/0.74 (define @t66 () (not @t44)) % 0.35/0.74 (define @t67 () (or @t66 @t58)) % 0.35/0.74 (define @t68 () (not @t67)) % 0.35/0.74 (define @t69 () (@list false true)) % 0.35/0.74 (define @t70 () (tptp.aElementOf0 @t16 @t45)) % 0.35/0.74 (define @t71 () (tptp.aElementOf0 @t16 tptp.xS)) % 0.35/0.74 (define @t72 () (not @t71)) % 0.35/0.74 (define @t73 () (forall @t19 (or @t72 @t70))) % 0.35/0.74 (define @t74 () (not @t73)) % 0.35/0.74 (define @t75 () (@list true)) % 0.35/0.74 (define @t76 () (@quantifiers_skolemize @t73 0)) % 0.35/0.74 (define @t77 () (tptp.aElementOf0 @t76 @t45)) % 0.35/0.74 (define @t78 () (tptp.aElementOf0 @t76 tptp.xS)) % 0.35/0.74 (define @t79 () (not @t78)) % 0.35/0.74 (define @t80 () (or @t79 @t77)) % 0.35/0.74 (define @t81 () (not @t80)) % 0.35/0.74 (define @t82 () (@list @t80)) % 0.35/0.74 (define @t83 () (@var "BOUND_VARIABLE_7562" $$unsorted)) % 0.35/0.74 (define @t84 () (tptp.aElement0 @t83)) % 0.35/0.74 (define @t85 () (not (tptp.aElementOf0 @t83 @t1))) % 0.35/0.74 (define @t86 () (not @t2)) % 0.35/0.74 (define @t87 () (or @t85 @t84)) % 0.35/0.74 (define @t88 () (or @t86 @t87)) % 0.35/0.74 (define @t89 () (forall (@list @t1 @t83) @t88)) % 0.35/0.74 (define @t90 () (@list @t83)) % 0.35/0.74 (define @t91 () (forall @t90 @t88)) % 0.35/0.74 (define @t92 () (forall @t90 @t87)) % 0.35/0.74 (define @t93 () (@list @t5)) % 0.35/0.74 (define @t94 () (or @t86 @t92)) % 0.35/0.74 (define @t95 () (forall @t8 (or (not @t7) @t6))) % 0.35/0.74 (define @t96 () (tptp.aElement0 @t76)) % 0.35/0.74 (define @t97 () (not @t43)) % 0.35/0.74 (define @t98 () (or @t97 @t79 @t96)) % 0.35/0.74 (define @t99 () (not (= @t76 tptp.xx))) % 0.35/0.74 (define @t100 () (and @t96 @t78 @t99)) % 0.35/0.74 (define @t101 () (= @t77 @t100)) % 0.35/0.74 (define @t102 () (= tptp.xx @t76)) % 0.35/0.74 (define @t103 () (not @t102)) % 0.35/0.74 (define @t104 () (and @t96 @t78 @t103)) % 0.35/0.74 (define @t105 () (= @t77 @t104)) % 0.35/0.74 (define @t106 () (not @t104)) % 0.35/0.74 (define @t107 () (@list true false)) % 0.35/0.74 (define @t108 () (not @t96)) % 0.35/0.74 (define @t109 () (@var "BOUND_VARIABLE_7611" $$unsorted)) % 0.35/0.74 (define @t110 () (= (tptp.aSubsetOf0 @t109 @t1) (and (tptp.aSet0 @t109) (forall @t19 (or (not (tptp.aElementOf0 @t16 @t109)) @t17))))) % 0.35/0.74 (define @t111 () (or @t86 @t110)) % 0.35/0.74 (define @t112 () (@list @t109)) % 0.35/0.74 (define @t113 () (forall @t112 @t111)) % 0.35/0.74 (define @t114 () (forall @t112 @t110)) % 0.35/0.74 (define @t115 () (or @t86 @t114)) % 0.35/0.74 (define @t116 () (forall @t8 (= @t23 (and @t21 (forall @t19 (or (not @t18) @t17)))))) % 0.35/0.74 (define @t117 () (@list tptp.xS @t46)) % 0.35/0.74 (define @t118 () (tptp.aElementOf0 @t16 @t46)) % 0.35/0.74 (define @t119 () (forall @t19 (or (not @t118) @t71))) % 0.35/0.74 (define @t120 () (and @t50 @t119)) % 0.35/0.74 (define @t121 () (tptp.aSubsetOf0 @t46 tptp.xS)) % 0.35/0.74 (define @t122 () (= @t121 @t120)) % 0.35/0.74 (define @t123 () (or @t97 @t122)) % 0.35/0.74 (define @t124 () (@list false false)) % 0.35/0.74 (define @t125 () (not @t23)) % 0.35/0.74 (define @t126 () (not @t29)) % 0.35/0.74 (define @t127 () (not @t21)) % 0.35/0.74 (define @t128 () (or @t126 @t125 @t28)) % 0.35/0.74 (define @t129 () (forall @t19 (or @t72 @t118))) % 0.35/0.74 (define @t130 () (and @t43 @t129)) % 0.35/0.74 (define @t131 () (tptp.aSubsetOf0 tptp.xS @t46)) % 0.35/0.74 (define @t132 () (= @t131 @t130)) % 0.35/0.74 (define @t133 () (not @t50)) % 0.35/0.74 (define @t134 () (or @t133 @t132)) % 0.35/0.74 (define @t135 () (@quantifiers_skolemize @t129 0)) % 0.35/0.74 (define @t136 () (tptp.aElementOf0 @t135 tptp.xS)) % 0.35/0.74 (define @t137 () (tptp.aElementOf0 @t135 @t46)) % 0.35/0.74 (define @t138 () (not @t136)) % 0.35/0.74 (define @t139 () (or @t138 @t137)) % 0.35/0.74 (define @t140 () (tptp.aElement0 @t135)) % 0.35/0.74 (define @t141 () (or @t97 @t138 @t140)) % 0.35/0.74 (define @t142 () (tptp.aElementOf0 @t135 @t45)) % 0.35/0.74 (define @t143 () (= @t135 tptp.xx)) % 0.35/0.74 (define @t144 () (or @t142 @t143)) % 0.35/0.74 (define @t145 () (and @t140 @t144)) % 0.35/0.74 (define @t146 () (= @t137 @t145)) % 0.35/0.74 (define @t147 () (@list @t135)) % 0.35/0.74 (define @t148 () (= tptp.xx @t135)) % 0.35/0.74 (define @t149 () (or @t142 @t148)) % 0.35/0.74 (define @t150 () (and @t140 @t149)) % 0.35/0.74 (define @t151 () (= @t137 @t150)) % 0.35/0.74 (define @t152 () (@list @t49)) % 0.35/0.74 (define @t153 () (forall @t19 (or (not @t70) @t118))) % 0.35/0.74 (define @t154 () (@quantifiers_skolemize @t153 0)) % 0.35/0.74 (define @t155 () (tptp.aElementOf0 @t154 @t45)) % 0.35/0.74 (define @t156 () (tptp.aElementOf0 @t154 @t46)) % 0.35/0.74 (define @t157 () (not @t155)) % 0.35/0.74 (define @t158 () (or @t157 @t156)) % 0.35/0.74 (define @t159 () (or @t155 (= tptp.xx @t154))) % 0.35/0.74 (define @t160 () (tptp.aElement0 @t154)) % 0.35/0.74 (define @t161 () (not @t54)) % 0.35/0.74 (define @t162 () (or @t161 @t157 @t160)) % 0.35/0.74 (define @t163 () (or @t155 (= @t154 tptp.xx))) % 0.35/0.74 (define @t164 () (and @t160 @t163)) % 0.35/0.74 (define @t165 () (= @t156 @t164)) % 0.35/0.74 (define @t166 () (and @t160 @t159)) % 0.35/0.74 (define @t167 () (= @t156 @t166)) % 0.35/0.74 (define @t168 () (not @t158)) % 0.35/0.74 (define @t169 () (not @t153)) % 0.35/0.74 (define @t170 () (not @t142)) % 0.35/0.74 (define @t171 () (or @t170 @t137)) % 0.35/0.74 (define @t172 () (not @t143)) % 0.35/0.74 (define @t173 () (and @t140 @t136 @t172)) % 0.35/0.74 (define @t174 () (= @t142 @t173)) % 0.35/0.74 (define @t175 () (not @t148)) % 0.35/0.74 (define @t176 () (and @t140 @t136 @t175)) % 0.35/0.74 (define @t177 () (= @t142 @t176)) % 0.35/0.74 (define @t178 () (not @t140)) % 0.35/0.74 (define @t179 () (not @t139)) % 0.35/0.74 (define @t180 () (not @t129)) % 0.35/0.74 (define @t181 () (= tptp.xS @t46)) % 0.35/0.74 (define @t182 () (not @t121)) % 0.35/0.74 (define @t183 () (not @t131)) % 0.35/0.74 (define @t184 () (or @t97 @t133 @t183 @t182 @t181)) % 0.35/0.74 (define @t185 () (not @t120)) % 0.35/0.74 (define @t186 () (not @t119)) % 0.35/0.74 (define @t187 () (@quantifiers_skolemize @t119 0)) % 0.35/0.74 (define @t188 () (tptp.aElementOf0 @t187 tptp.xS)) % 0.35/0.74 (define @t189 () (tptp.aElementOf0 @t187 @t46)) % 0.35/0.74 (define @t190 () (not @t189)) % 0.35/0.74 (define @t191 () (or @t190 @t188)) % 0.35/0.74 (define @t192 () (not @t191)) % 0.35/0.74 (define @t193 () (not @t188)) % 0.35/0.74 (define @t194 () (@list @t191)) % 0.35/0.74 (define @t195 () (tptp.aElementOf0 @t187 @t45)) % 0.35/0.74 (define @t196 () (= @t187 tptp.xx)) % 0.35/0.74 (define @t197 () (or @t195 @t196)) % 0.35/0.74 (define @t198 () (tptp.aElement0 @t187)) % 0.35/0.74 (define @t199 () (and @t198 @t197)) % 0.35/0.74 (define @t200 () (= @t189 @t199)) % 0.35/0.74 (define @t201 () (@list @t187)) % 0.35/0.74 (define @t202 () (= tptp.xx @t187)) % 0.35/0.74 (define @t203 () (or @t195 @t202)) % 0.35/0.74 (define @t204 () (and @t198 @t203)) % 0.35/0.74 (define @t205 () (= @t189 @t204)) % 0.35/0.74 (define @t206 () (not @t195)) % 0.35/0.74 (define @t207 () (or @t206 @t188)) % 0.35/0.74 (define @t208 () (not @t196)) % 0.35/0.74 (define @t209 () (and @t198 @t188 @t208)) % 0.35/0.74 (define @t210 () (= @t195 @t209)) % 0.35/0.74 (define @t211 () (not @t202)) % 0.35/0.74 (define @t212 () (and @t198 @t188 @t211)) % 0.35/0.74 (define @t213 () (= @t195 @t212)) % 0.35/0.74 (define @t214 () (and @t78 @t102 @t202 @t193)) % 0.35/0.74 (assume @p1 (forall @t3 (=> @t2 true))) % 0.35/0.74 (assume @p2 (forall @t3 (=> @t4 true))) % 0.35/0.74 (assume @p3 @t11) % 0.35/0.74 (assume @p4 (forall @t3 (=> @t2 (=> @t12 true)))) % 0.35/0.74 (assume @p5 (forall @t3 (= @t13 (and @t2 (not (exists @t8 @t7)))))) % 0.35/0.74 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 0.35/0.74 (assume @p7 (forall @t3 (=> @t2 (=> @t14 true)))) % 0.35/0.74 (assume @p8 (forall @t3 (=> @t15 (not @t12)))) % 0.35/0.74 (assume @p9 (forall @t3 (=> @t15 (not @t13)))) % 0.35/0.74 (assume @p10 @t27) % 0.35/0.74 (assume @p11 (forall @t3 (=> (and @t2 @t12) (forall @t8 (=> @t23 (tptp.isFinite0 @t5)))))) % 0.35/0.74 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 0.35/0.74 (assume @p13 @t34) % 0.35/0.74 (assume @p14 (forall (@list @t1 @t5 @t16) (=> (and @t2 @t21 @t35) (=> (and @t29 (tptp.aSubsetOf0 @t5 @t16)) (tptp.aSubsetOf0 @t1 @t16))))) % 0.35/0.74 (assume @p15 (forall @t33 (=> @t42 (forall @t19 (= (= @t16 (tptp.sdtpldt0 @t1 @t5)) (and @t35 (forall @t41 (= @t40 (and @t39 (or @t38 @t37)))))))))) % 0.35/0.74 (assume @p16 (forall @t33 (=> @t42 (forall @t19 (= (= @t16 (tptp.sdtmndt0 @t1 @t5)) (and @t35 (forall @t41 (= @t40 (and @t39 @t38 (not @t37)))))))))) % 0.35/0.74 (assume @p17 @t43) % 0.35/0.74 (assume @p18 @t44) % 0.35/0.74 (assume @p19 @t57) % 0.35/0.74 (assume @p20 true) % 0.35/0.74 (step @p21 :rule eq-symm :args (@t46 tptp.xS)) % 0.35/0.74 (step @p22 :rule refl :args (@t51)) % 0.35/0.74 (step @p23 :rule cong :premises (@p22 @p21) :args (@t52)) % 0.35/0.74 (step @p24 :rule refl :args (@t55)) % 0.35/0.74 (step @p25 :rule cong :premises (@p24 @p23) :args (@t56)) % 0.35/0.74 (step @p26 :rule cong :premises (@p25) :args (@t57)) % 0.35/0.74 (step @p27 :rule eq_resolve :premises (@p19 @p26)) % 0.35/0.74 (step @p28 :rule not_implies_elim1 :premises (@p27)) % 0.35/0.74 (step @p29 :rule and_elim :premises (@p28) :args (1)) % 0.35/0.74 (step @p30 :rule bool-eq-false :args (@t58)) % 0.35/0.74 (step @p31 :rule absorb :args ((= (and @t59 @t44 false) false))) % 0.35/0.74 (step @p32 :rule evaluate :args ((not true))) % 0.35/0.74 (step @p33 :rule eq-refl :args (tptp.xx)) % 0.35/0.74 (step @p34 :rule cong :premises (@p33) :args (@t60)) % 0.35/0.74 (step @p35 :rule trans :premises (@p34 @p32)) % 0.35/0.74 (step @p36 :rule refl :args (@t44)) % 0.35/0.74 (step @p37 :rule refl :args (@t59)) % 0.35/0.74 (step @p38 :rule nary_cong :premises (@p37 @p36 @p35) :args (@t61)) % 0.35/0.74 (step @p39 :rule trans :premises (@p38 @p31)) % 0.35/0.74 (step @p40 :rule refl :args (@t58)) % 0.35/0.74 (step @p41 :rule cong :premises (@p40 @p39) :args (@t62)) % 0.35/0.74 (step @p42 :rule trans :premises (@p41 @p30)) % 0.35/0.74 (step @p43 :rule refl :args (@t53)) % 0.35/0.74 (step @p44 :rule cong :premises (@p43 @p42) :args ((=> @t53 @t62))) % 0.35/0.74 (assume-push @p422 @t53) % 0.35/0.74 (step @p46 :rule instantiate :premises (@p29) :args (@t63)) % 0.35/0.74 (step-pop @p423 :rule scope :premises (@p46)) % 0.35/0.74 (step @p47 :rule process_scope :premises (@p423) :args (@t62)) % 0.35/0.74 (step @p49 :rule eq_resolve :premises (@p47 @p44)) % 0.35/0.74 (step @p50 :rule implies_elim :premises (@p49)) % 0.35/0.74 (step @p51 :rule chain_m_resolution :premises (@p50 @p29) :args ((not @t58) @t64 @t65)) % 0.35/0.74 (step @p52 :rule cnf_or_pos :args (@t67)) % 0.35/0.74 (step @p53 :rule reordering :premises (@p52) :args ((or @t66 @t58 @t68))) % 0.35/0.74 (step @p54 :rule chain_m_resolution :premises (@p53 @p18 @p51) :args (@t68 @t69 (@list @t44 @t58))) % 0.35/0.74 (assume-push @p424 @t73) % 0.35/0.74 (step @p56 :rule instantiate :premises (@p424) :args (@t63)) % 0.35/0.74 (step-pop @p425 :rule scope :premises (@p56)) % 0.35/0.74 (step @p57 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skolemize :premises (@p440)) % 0.35/0.74 (step-pop @p441 :rule scope :premises (@p291)) % 0.35/0.74 (step @p292 :rule process_scope :premises (@p441) :args (@t179)) % 0.35/0.74 (step @p294 :rule implies_elim :premises (@p292)) % 0.35/0.74 (step @p295 :rule eq_resolve :premises (@p294 @p289)) % 0.35/0.74 (step @p296 :rule chain_m_resolution :premises (@p295 @p286) :args (@t129 @t64 (@list @t139))) % 0.35/0.74 (step @p297 :rule cnf_and_neg :args (@t130)) % 0.35/0.74 (step @p298 :rule reordering :premises (@p297) :args ((or @t97 @t130 @t180))) % 0.35/0.74 (step @p299 :rule chain_m_resolution :premises (@p298 @p17 @p296) :args (@t130 @t124 (@list @t43 @t129))) % 0.35/0.74 (step @p300 :rule cnf_equiv_pos2 :args (@t132)) % 0.35/0.74 (step @p301 :rule reordering :premises (@p300) :args ((or @t131 (not @t130) (not @t132)))) % 0.35/0.74 (step @p302 :rule chain_m_resolution :premises (@p301 @p299 @p181) :args (@t131 @t124 (@list @t130 @t132))) % 0.35/0.74 (step @p303 :rule not_implies_elim2 :premises (@p176)) % 0.35/0.74 (step @p304 :rule cnf_or_pos :args (@t184)) % 0.35/0.74 (step @p305 :rule reordering :premises (@p304) :args ((or @t181 @t97 @t133 @t182 @t183 (not @t184)))) % 0.35/0.74 (step @p306 :rule chain_m_resolution :premises (@p305 @p303 @p17 @p178 @p302 @p174) :args (@t182 (@list true false false false false) (@list @t181 @t43 @t50 @t131 @t184))) % 0.35/0.74 (step @p307 :rule cnf_equiv_pos2 :args (@t122)) % 0.35/0.74 (step @p308 :rule reordering :premises (@p307) :args ((or @t121 @t185 (not @t122)))) % 0.35/0.74 (step @p309 :rule chain_m_resolution :premises (@p308 @p306 @p158) :args (@t185 @t107 (@list @t121 @t122))) % 0.35/0.74 (step @p310 :rule cnf_and_neg :args (@t120)) % 0.35/0.74 (step @p311 :rule reordering :premises (@p310) :args ((or @t133 @t120 @t186))) % 0.35/0.74 (step @p312 :rule chain_m_resolution :premises (@p311 @p178 @p309) :args (@t186 @t69 (@list @t50 @t120))) % 0.35/0.74 (step @p313 :rule refl :args (@t192)) % 0.35/0.74 (step @p314 :rule 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0.35/0.74 (step @p329 :rule nary_cong :premises (@p328 @p327) :args (@t199)) % 0.35/0.74 (step @p330 :rule refl :args (@t189)) % 0.35/0.74 (step @p331 :rule cong :premises (@p330 @p329) :args (@t200)) % 0.35/0.74 (step @p332 :rule cong :premises (@p200 @p331) :args ((=> @t49 @t200))) % 0.35/0.74 (assume-push @p444 @t49) % 0.35/0.74 (step @p334 :rule instantiate :premises (@p192) :args (@t201)) % 0.35/0.74 (step-pop @p445 :rule scope :premises (@p334)) % 0.35/0.74 (step @p335 :rule process_scope :premises (@p445) :args (@t200)) % 0.35/0.74 (step @p337 :rule eq_resolve :premises (@p335 @p332)) % 0.35/0.74 (step @p338 :rule implies_elim :premises (@p337)) % 0.35/0.74 (step @p339 :rule chain_m_resolution :premises (@p338 @p192) :args (@t205 @t64 @t152)) % 0.35/0.74 (step @p340 :rule bool-double-not-elim :args (@t189)) % 0.35/0.74 (step @p341 :rule refl :args (@t191)) % 0.35/0.74 (step @p342 :rule nary_cong :premises (@p341 @p340) :args ((or @t191 (not @t190)))) % 0.35/0.74 (step @p343 :rule cnf_or_neg :args (@t191 0)) % 0.35/0.74 (step @p344 :rule eq_resolve :premises (@p343 @p342)) % 0.35/0.74 (step @p345 :rule reordering :premises (@p344) :args ((or @t189 @t191))) % 0.35/0.74 (step @p346 :rule chain_m_resolution :premises (@p345 @p322) :args (@t189 @t75 @t194)) % 0.35/0.74 (step @p347 :rule cnf_equiv_pos1 :args (@t205)) % 0.35/0.74 (step @p348 :rule reordering :premises (@p347) :args ((or @t190 @t204 (not @t205)))) % 0.35/0.74 (step @p349 :rule chain_m_resolution :premises (@p348 @p346 @p339) :args (@t204 @t124 (@list @t189 @t205))) % 0.35/0.74 (step @p350 :rule cnf_and_pos :args (@t204 1)) % 0.35/0.74 (step @p351 :rule reordering :premises (@p350) :args ((or @t203 (not @t204)))) % 0.35/0.74 (step @p352 :rule chain_m_resolution :premises (@p351 @p349) :args (@t203 @t64 (@list @t204))) % 0.35/0.74 (step @p353 :rule bool-double-not-elim :args (@t195)) % 0.35/0.74 (step @p354 :rule refl :args (@t207)) % 0.35/0.74 (step @p355 :rule nary_cong :premises (@p354 @p353) :args ((or @t207 (not @t206)))) % 0.35/0.74 (step @p356 :rule cnf_or_neg :args (@t207 0)) % 0.35/0.74 (step @p357 :rule eq_resolve :premises (@p356 @p355)) % 0.35/0.74 (step @p358 :rule reordering :premises (@p357) :args ((or @t195 @t207))) % 0.35/0.74 (step @p359 :rule cnf_or_neg :args (@t207 1)) % 0.35/0.74 (step @p360 :rule reordering :premises (@p359) :args ((or @t193 @t207))) % 0.35/0.74 (step @p361 :rule cong :premises (@p325) :args (@t208)) % 0.35/0.74 (step @p362 :rule refl :args (@t188)) % 0.35/0.74 (step @p363 :rule nary_cong :premises (@p328 @p362 @p361) :args (@t209)) % 0.35/0.74 (step @p364 :rule cong :premises (@p326 @p363) :args (@t210)) % 0.35/0.74 (step @p365 :rule cong :premises (@p43 @p364) :args ((=> @t53 @t210))) % 0.35/0.74 (assume-push @p446 @t53) % 0.35/0.74 (step @p367 :rule instantiate :premises (@p29) :args (@t201)) % 0.35/0.74 (step-pop @p447 :rule scope :premises (@p367)) % 0.35/0.74 (step @p368 :rule process_scope :premises (@p447) :args (@t210)) % 0.35/0.74 (step @p370 :rule eq_resolve :premises (@p368 @p365)) % 0.35/0.74 (step @p371 :rule implies_elim :premises (@p370)) % 0.35/0.74 (step @p372 :rule chain_m_resolution :premises (@p371 @p29) :args (@t213 @t64 @t65)) % 0.35/0.74 (step @p373 :rule cnf_equiv_pos1 :args (@t213)) % 0.35/0.74 (step @p374 :rule reordering :premises (@p373) :args ((or @t212 @t206 (not @t213)))) % 0.35/0.74 (step @p375 :rule cnf_and_pos :args (@t212 1)) % 0.35/0.74 (step @p376 :rule reordering :premises (@p375) :args ((or @t188 (not @t212)))) % 0.35/0.74 (step @p377 :rule chain_m_resolution :premises (@p376 @p374 @p372 @p360 @p358) :args (@t207 (@list false false true false) (@list @t212 @t213 @t188 @t195))) % 0.35/0.74 (step @p378 :rule cnf_or_pos :args (@t207)) % 0.35/0.74 (step @p379 :rule reordering :premises (@p378) :args ((or @t188 @t206 (not @t207)))) % 0.35/0.74 (step @p380 :rule chain_m_resolution :premises (@p379 @p324 @p377) :args (@t206 @t107 (@list @t188 @t207))) % 0.35/0.74 (step @p381 :rule cnf_or_pos :args (@t203)) % 0.35/0.74 (step @p382 :rule reordering :premises (@p381) :args ((or @t195 @t202 (not @t203)))) % 0.35/0.74 (step @p383 :rule chain_m_resolution :premises (@p382 @p380 @p352) :args (@t202 @t107 (@list @t195 @t203))) % 0.35/0.74 (step @p384 :rule refl :args (@t211)) % 0.35/0.74 (step @p385 :rule bool-double-not-elim :args (@t188)) % 0.35/0.74 (step @p386 :rule refl :args (@t103)) % 0.35/0.74 (step @p387 :rule nary_cong :premises (@p125 @p386 @p385 @p384) :args ((or @t79 @t103 (not @t193) @t211))) % 0.35/0.74 (assume-push @p448 @t78) % 0.35/0.74 (assume-push @p449 @t102) % 0.35/0.74 (assume-push @p450 @t202) % 0.35/0.74 (assume-push @p451 @t193) % 0.35/0.74 (step @p392 :rule evaluate :args ((= false true))) % 0.35/0.74 (step @p393 :rule true_intro :premises (@p448)) % 0.35/0.74 (step @p394 :rule refl :args (tptp.xS)) % 0.35/0.74 (step @p395 :rule symm :premises (@p450)) % 0.35/0.74 (step @p396 :rule trans :premises (@p395 @p449)) % 0.35/0.75 (step @p397 :rule cong :premises (@p396 @p394) :args (@t188)) % 0.35/0.75 (step @p398 :rule false_intro :premises (@p451)) % 0.35/0.75 (step @p399 :rule symm :premises (@p398)) % 0.35/0.75 (step @p400 :rule trans :premises (@p399 @p397 @p393)) % 0.35/0.75 (step @p401 false :rule eq_resolve :premises (@p400 @p392)) % 0.35/0.75 (step-pop @p452 :rule scope :premises (@p401)) % 0.35/0.75 (step-pop @p453 :rule scope :premises (@p452)) % 0.35/0.75 (step-pop @p454 :rule scope :premises (@p453)) % 0.35/0.75 (step-pop @p455 :rule scope :premises (@p454)) % 0.35/0.75 (step @p402 :rule process_scope :premises (@p455) :args (false)) % 0.35/0.75 (assume-push @p456 @t78) % 0.35/0.75 (assume-push @p457 @t102) % 0.35/0.75 (assume-push @p458 @t193) % 0.35/0.75 (assume-push @p459 @t202) % 0.35/0.75 (step @p411 :rule and_intro :premises (@p456 @p457 @p459 @p458)) % 0.35/0.75 (step-pop @p460 :rule scope :premises (@p411)) % 0.35/0.75 (step-pop @p461 :rule scope :premises (@p460)) % 0.35/0.75 (step-pop @p462 :rule scope :premises (@p461)) % 0.35/0.75 (step-pop @p463 :rule scope :premises (@p462)) % 0.35/0.75 (step @p412 :rule process_scope :premises (@p463) :args (@t214)) % 0.35/0.75 (step @p417 :rule implies_elim :premises (@p412)) % 0.35/0.75 (step @p418 :rule resolution :premises (@p417 @p402) :args (true @t214)) % 0.35/0.75 (step @p419 :rule not_and :premises (@p418)) % 0.35/0.75 (step @p420 :rule eq_resolve :premises (@p419 @p387)) % 0.35/0.75 (step @p421 false :rule chain_m_resolution :premises (@p420 @p383 @p324 @p132 @p77) :args (false (@list false true false false) (@list @t202 @t188 @t102 @t78))) % 0.35/0.75 ) % 0.35/0.75 % SZS output end Proof % 0.35/0.75 % cvc5 exiting %------------------------------------------------------------------------------