%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM537+1 : 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 : n012.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 0.44s 0.62s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : NUM537+1 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n012.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Tue Jun 2 11:28:18 EDT 2026 % 0.08/0.25 % CPUTime : % 0.17/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.44/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.44/0.62 % SZS status Theorem % 0.44/0.62 % SZS output start Proof % 0.44/0.62 ( % 0.44/0.62 (declare-sort $$unsorted 0) % 0.44/0.62 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.62 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.62 (declare-const tptp.slcrc0 $$unsorted) % 0.44/0.62 (declare-const tptp.xS $$unsorted) % 0.44/0.62 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 0.44/0.62 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 0.44/0.62 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 0.44/0.62 (declare-const tptp.xx $$unsorted) % 0.44/0.62 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 0.44/0.62 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 0.44/0.62 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 0.44/0.62 (define @t1 () (@var "W0" $$unsorted)) % 0.44/0.62 (define @t2 () (tptp.aSet0 @t1)) % 0.44/0.62 (define @t3 () (@list @t1)) % 0.44/0.62 (define @t4 () (@var "W1" $$unsorted)) % 0.44/0.62 (define @t5 () (tptp.aElement0 @t4)) % 0.44/0.62 (define @t6 () (tptp.aElementOf0 @t4 @t1)) % 0.44/0.62 (define @t7 () (@list @t4)) % 0.44/0.62 (define @t8 () (forall @t7 (=> @t6 @t5))) % 0.44/0.63 (define @t9 () (=> @t2 @t8)) % 0.44/0.63 (define @t10 () (forall @t3 @t9)) % 0.44/0.63 (define @t11 () (tptp.isFinite0 @t1)) % 0.44/0.63 (define @t12 () (= @t1 tptp.slcrc0)) % 0.44/0.63 (define @t13 () (tptp.isCountable0 @t1)) % 0.44/0.63 (define @t14 () (and @t2 @t13)) % 0.44/0.63 (define @t15 () (@var "W2" $$unsorted)) % 0.44/0.63 (define @t16 () (@list @t15)) % 0.44/0.63 (define @t17 () (tptp.aSet0 @t4)) % 0.44/0.63 (define @t18 () (tptp.aSubsetOf0 @t4 @t1)) % 0.44/0.63 (define @t19 () (tptp.aSubsetOf0 @t1 @t1)) % 0.44/0.63 (define @t20 () (forall @t3 (=> @t2 @t19))) % 0.44/0.63 (define @t21 () (tptp.aSubsetOf0 @t1 @t4)) % 0.44/0.63 (define @t22 () (@list @t1 @t4)) % 0.44/0.63 (define @t23 () (tptp.aSet0 @t15)) % 0.44/0.63 (define @t24 () (@var "W3" $$unsorted)) % 0.44/0.63 (define @t25 () (= @t24 @t4)) % 0.44/0.63 (define @t26 () (tptp.aElementOf0 @t24 @t1)) % 0.44/0.63 (define @t27 () (or @t26 @t25)) % 0.44/0.63 (define @t28 () (tptp.aElement0 @t24)) % 0.44/0.63 (define @t29 () (and @t28 @t27)) % 0.44/0.63 (define @t30 () (tptp.aElementOf0 @t24 @t15)) % 0.44/0.63 (define @t31 () (= @t30 @t29)) % 0.44/0.63 (define @t32 () (@list @t24)) % 0.44/0.63 (define @t33 () (forall @t32 @t31)) % 0.44/0.63 (define @t34 () (and @t23 @t33)) % 0.44/0.63 (define @t35 () (tptp.sdtpldt0 @t1 @t4)) % 0.44/0.63 (define @t36 () (= @t15 @t35)) % 0.44/0.63 (define @t37 () (= @t36 @t34)) % 0.44/0.63 (define @t38 () (forall @t16 @t37)) % 0.44/0.63 (define @t39 () (and @t2 @t5)) % 0.44/0.63 (define @t40 () (=> @t39 @t38)) % 0.44/0.63 (define @t41 () (forall @t22 @t40)) % 0.44/0.63 (define @t42 () (not @t25)) % 0.44/0.63 (define @t43 () (and @t28 @t26 @t42)) % 0.44/0.63 (define @t44 () (= @t30 @t43)) % 0.44/0.63 (define @t45 () (forall @t32 @t44)) % 0.44/0.63 (define @t46 () (and @t23 @t45)) % 0.44/0.63 (define @t47 () (tptp.sdtmndt0 @t1 @t4)) % 0.44/0.63 (define @t48 () (= @t15 @t47)) % 0.44/0.63 (define @t49 () (= @t48 @t46)) % 0.44/0.63 (define @t50 () (forall @t16 @t49)) % 0.44/0.63 (define @t51 () (=> @t39 @t50)) % 0.44/0.63 (define @t52 () (forall @t22 @t51)) % 0.44/0.63 (define @t53 () (tptp.aSet0 tptp.xS)) % 0.44/0.63 (define @t54 () (tptp.aElement0 tptp.xx)) % 0.44/0.63 (define @t55 () (tptp.aElementOf0 tptp.xx tptp.xS)) % 0.44/0.63 (define @t56 () (not @t55)) % 0.44/0.63 (define @t57 () (tptp.sdtpldt0 tptp.xS tptp.xx)) % 0.44/0.63 (define @t58 () (tptp.sdtmndt0 @t57 tptp.xx)) % 0.44/0.63 (define @t59 () (tptp.aSubsetOf0 @t58 tptp.xS)) % 0.44/0.63 (define @t60 () (tptp.aSubsetOf0 tptp.xS @t58)) % 0.44/0.63 (define @t61 () (@var "BOUND_VARIABLE_7677" $$unsorted)) % 0.44/0.63 (define @t62 () (tptp.aElementOf0 @t24 @t61)) % 0.44/0.63 (define @t63 () (= @t4 @t24)) % 0.44/0.63 (define @t64 () (and @t28 (or @t26 @t63))) % 0.44/0.63 (define @t65 () (forall @t32 (= @t62 @t64))) % 0.44/0.63 (define @t66 () (tptp.aSet0 @t61)) % 0.44/0.63 (define @t67 () (and @t66 @t65)) % 0.44/0.63 (define @t68 () (= (= @t61 @t35) @t67)) % 0.44/0.63 (define @t69 () (not @t5)) % 0.44/0.63 (define @t70 () (not @t2)) % 0.44/0.63 (define @t71 () (or @t70 @t69 @t68)) % 0.44/0.63 (define @t72 () (@list @t1 @t4 @t61)) % 0.44/0.63 (define @t73 () (forall @t72 @t71)) % 0.44/0.63 (define @t74 () (@list @t61)) % 0.44/0.63 (define @t75 () (forall @t74 @t71)) % 0.44/0.63 (define @t76 () (forall @t74 @t68)) % 0.44/0.63 (define @t77 () (@list @t15)) % 0.44/0.63 (define @t78 () (or @t70 @t69 @t76)) % 0.44/0.63 (define @t79 () (forall @t16 (= @t36 (and @t23 (forall @t32 (= @t30 @t64)))))) % 0.44/0.63 (define @t80 () (or @t70 @t69 @t79)) % 0.44/0.63 (define @t81 () (or @t70 @t69)) % 0.44/0.63 (define @t82 () (not @t39)) % 0.44/0.63 (define @t83 () (tptp.aElementOf0 @t24 @t57)) % 0.44/0.63 (define @t84 () (= @t24 tptp.xx)) % 0.44/0.63 (define @t85 () (tptp.aElementOf0 @t24 tptp.xS)) % 0.44/0.63 (define @t86 () (forall @t32 (= (and @t28 (or @t85 @t84)) @t83))) % 0.44/0.63 (define @t87 () (tptp.aSet0 @t57)) % 0.44/0.63 (define @t88 () (and @t87 @t86)) % 0.44/0.63 (define @t89 () (= tptp.xx @t24)) % 0.44/0.63 (define @t90 () (or @t85 @t89)) % 0.44/0.63 (define @t91 () (and @t28 @t90)) % 0.44/0.63 (define @t92 () (= @t91 @t83)) % 0.44/0.63 (define @t93 () (forall @t32 @t92)) % 0.44/0.63 (define @t94 () (and @t87 @t93)) % 0.44/0.63 (define @t95 () (= (= @t57 @t57) @t94)) % 0.44/0.63 (define @t96 () (not @t54)) % 0.44/0.63 (define @t97 () (not @t53)) % 0.44/0.63 (define @t98 () (or @t97 @t96 @t95)) % 0.44/0.63 (define @t99 () (forall @t72 (or @t70 @t69 (= (= @t35 @t61) (and @t66 (forall @t32 (= @t64 @t62))))))) % 0.44/0.63 (define @t100 () (or @t97 @t96 @t88)) % 0.44/0.63 (define @t101 () (@list false)) % 0.44/0.63 (define @t102 () (@list false false false)) % 0.44/0.63 (define @t103 () (not @t88)) % 0.44/0.63 (define @t104 () (@list @t88)) % 0.44/0.63 (define @t105 () (not @t84)) % 0.44/0.63 (define @t106 () (forall @t32 (= @t85 (and @t28 @t83 @t105)))) % 0.44/0.63 (define @t107 () (@quantifiers_skolemize @t106 0)) % 0.44/0.63 (define @t108 () (tptp.aElementOf0 @t107 tptp.xS)) % 0.44/0.63 (define @t109 () (= @t107 tptp.xx)) % 0.44/0.63 (define @t110 () (or @t108 @t109)) % 0.44/0.63 (define @t111 () (tptp.aElement0 @t107)) % 0.44/0.63 (define @t112 () (and @t111 @t110)) % 0.44/0.63 (define @t113 () (tptp.aElementOf0 @t107 @t57)) % 0.44/0.63 (define @t114 () (= @t112 @t113)) % 0.44/0.63 (define @t115 () (@list @t107)) % 0.44/0.63 (define @t116 () (= tptp.xx @t107)) % 0.44/0.63 (define @t117 () (or @t108 @t116)) % 0.44/0.63 (define @t118 () (and @t111 @t117)) % 0.44/0.63 (define @t119 () (= @t113 @t118)) % 0.44/0.63 (define @t120 () (@list @t86)) % 0.44/0.63 (define @t121 () (not @t116)) % 0.44/0.63 (define @t122 () (and @t111 @t113 @t121)) % 0.44/0.63 (define @t123 () (not @t122)) % 0.44/0.63 (define @t124 () (forall @t16 (or (not (tptp.aElementOf0 @t15 tptp.xS)) (tptp.aElementOf0 @t15 @t57)))) % 0.44/0.63 (define @t125 () (@quantifiers_skolemize @t124 0)) % 0.44/0.63 (define @t126 () (tptp.aElementOf0 @t125 tptp.xS)) % 0.44/0.63 (define @t127 () (tptp.aElementOf0 @t125 @t57)) % 0.44/0.63 (define @t128 () (not @t126)) % 0.44/0.63 (define @t129 () (or @t128 @t127)) % 0.44/0.63 (define @t130 () (or @t126 (= tptp.xx @t125))) % 0.44/0.63 (define @t131 () (@var "BOUND_VARIABLE_7555" $$unsorted)) % 0.44/0.63 (define @t132 () (tptp.aElement0 @t131)) % 0.44/0.63 (define @t133 () (not (tptp.aElementOf0 @t131 @t1))) % 0.44/0.63 (define @t134 () (or @t133 @t132)) % 0.44/0.63 (define @t135 () (or @t70 @t134)) % 0.44/0.63 (define @t136 () (forall (@list @t1 @t131) @t135)) % 0.44/0.63 (define @t137 () (@list @t131)) % 0.44/0.63 (define @t138 () (forall @t137 @t135)) % 0.44/0.63 (define @t139 () (forall @t137 @t134)) % 0.44/0.63 (define @t140 () (or @t70 @t139)) % 0.44/0.63 (define @t141 () (forall @t7 (or (not @t6) @t5))) % 0.44/0.63 (define @t142 () (tptp.aElement0 @t125)) % 0.44/0.63 (define @t143 () (or @t97 @t128 @t142)) % 0.44/0.63 (define @t144 () (or @t126 (= @t125 tptp.xx))) % 0.44/0.63 (define @t145 () (and @t142 @t144)) % 0.44/0.63 (define @t146 () (= @t145 @t127)) % 0.44/0.63 (define @t147 () (and @t142 @t130)) % 0.44/0.63 (define @t148 () (= @t127 @t147)) % 0.44/0.63 (define @t149 () (not @t129)) % 0.44/0.63 (define @t150 () (not @t124)) % 0.44/0.63 (define @t151 () (not @t108)) % 0.44/0.63 (define @t152 () (or @t151 @t113)) % 0.44/0.63 (define @t153 () (@var "BOUND_VARIABLE_7708" $$unsorted)) % 0.44/0.63 (define @t154 () (tptp.aElementOf0 @t24 @t153)) % 0.44/0.63 (define @t155 () (and @t28 @t26 (not @t63))) % 0.44/0.63 (define @t156 () (forall @t32 (= @t154 @t155))) % 0.44/0.63 (define @t157 () (tptp.aSet0 @t153)) % 0.44/0.63 (define @t158 () (and @t157 @t156)) % 0.44/0.63 (define @t159 () (= (= @t153 @t47) @t158)) % 0.44/0.63 (define @t160 () (or @t70 @t69 @t159)) % 0.44/0.63 (define @t161 () (@list @t1 @t4 @t153)) % 0.44/0.63 (define @t162 () (forall @t161 @t160)) % 0.44/0.63 (define @t163 () (@list @t153)) % 0.44/0.63 (define @t164 () (forall @t163 @t160)) % 0.44/0.63 (define @t165 () (forall @t163 @t159)) % 0.44/0.63 (define @t166 () (or @t70 @t69 @t165)) % 0.44/0.63 (define @t167 () (forall @t16 (= @t48 (and @t23 (forall @t32 (= @t30 @t155)))))) % 0.44/0.63 (define @t168 () (or @t70 @t69 @t167)) % 0.44/0.63 (define @t169 () (not @t89)) % 0.44/0.63 (define @t170 () (and @t28 @t83 @t169)) % 0.44/0.63 (define @t171 () (forall @t32 (= @t170 @t85))) % 0.44/0.63 (define @t172 () (and @t53 @t171)) % 0.44/0.63 (define @t173 () (= (= @t58 tptp.xS) @t172)) % 0.44/0.63 (define @t174 () (not @t87)) % 0.44/0.63 (define @t175 () (or @t174 @t96 @t173)) % 0.44/0.63 (define @t176 () (forall @t161 (or @t70 @t69 (= (= @t47 @t153) (and @t157 (forall @t32 (= @t155 @t154))))))) % 0.44/0.63 (define @t177 () (and @t53 @t106)) % 0.44/0.63 (define @t178 () (= tptp.xS @t58)) % 0.44/0.63 (define @t179 () (= @t178 @t177)) % 0.44/0.63 (define @t180 () (or @t174 @t96 @t179)) % 0.44/0.63 (define @t181 () (tptp.aSubsetOf0 tptp.xS tptp.xS)) % 0.44/0.63 (define @t182 () (or @t97 @t181)) % 0.44/0.63 (define @t183 () (@list false false)) % 0.44/0.63 (define @t184 () (and @t181 @t178)) % 0.44/0.63 (define @t185 () (not @t178)) % 0.44/0.63 (define @t186 () (not @t181)) % 0.44/0.63 (define @t187 () (not @t177)) % 0.44/0.63 (define @t188 () (@list true false)) % 0.44/0.63 (define @t189 () (not @t106)) % 0.44/0.63 (define @t190 () (= @t108 @t122)) % 0.44/0.63 (define @t191 () (not @t190)) % 0.44/0.63 (define @t192 () (not @t109)) % 0.44/0.63 (define @t193 () (and @t111 @t113 @t192)) % 0.44/0.63 (define @t194 () (= @t108 @t193)) % 0.44/0.63 (define @t195 () (not @t194)) % 0.44/0.63 (define @t196 () (not @t113)) % 0.44/0.63 (define @t197 () (not @t118)) % 0.44/0.63 (define @t198 () (@list @t118)) % 0.44/0.63 (define @t199 () (not @t111)) % 0.44/0.63 (define @t200 () (forall @t32 (= @t85 (and @t28 @t85 @t105)))) % 0.44/0.63 (define @t201 () (@quantifiers_skolemize @t200 0)) % 0.44/0.63 (define @t202 () (= tptp.xx @t201)) % 0.44/0.63 (define @t203 () (not @t202)) % 0.44/0.63 (define @t204 () (tptp.aElementOf0 @t201 tptp.xS)) % 0.44/0.63 (define @t205 () (tptp.aElement0 @t201)) % 0.44/0.63 (define @t206 () (and @t205 @t204 @t203)) % 0.44/0.63 (define @t207 () (= @t204 @t206)) % 0.44/0.63 (define @t208 () (not @t204)) % 0.44/0.63 (define @t209 () (or @t97 @t208 @t205)) % 0.44/0.63 (define @t210 () (not @t205)) % 0.44/0.63 (define @t211 () (and @t204 @t202 @t56)) % 0.44/0.63 (define @t212 () (not @t207)) % 0.44/0.63 (define @t213 () (not @t200)) % 0.44/0.63 (define @t214 () (not (= @t201 tptp.xx))) % 0.44/0.63 (define @t215 () (and @t205 @t204 @t214)) % 0.44/0.63 (define @t216 () (= @t204 @t215)) % 0.44/0.63 (define @t217 () (not @t216)) % 0.44/0.63 (define @t218 () (and @t111 @t108 @t192)) % 0.44/0.63 (define @t219 () (= @t108 @t218)) % 0.44/0.63 (define @t220 () (and @t111 @t108 @t121)) % 0.44/0.63 (define @t221 () (= @t108 @t220)) % 0.44/0.63 (assume @p1 (forall @t3 (=> @t2 true))) % 0.44/0.63 (assume @p2 (forall @t3 (=> (tptp.aElement0 @t1) true))) % 0.44/0.63 (assume @p3 @t10) % 0.44/0.63 (assume @p4 (forall @t3 (=> @t2 (=> @t11 true)))) % 0.44/0.63 (assume @p5 (forall @t3 (= @t12 (and @t2 (not (exists @t7 @t6)))))) % 0.44/0.63 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 0.44/0.63 (assume @p7 (forall @t3 (=> @t2 (=> @t13 true)))) % 0.44/0.63 (assume @p8 (forall @t3 (=> @t14 (not @t11)))) % 0.44/0.63 (assume @p9 (forall @t3 (=> @t14 (not @t12)))) % 0.44/0.63 (assume @p10 (forall @t3 (=> @t2 (forall @t7 (= @t18 (and @t17 (forall @t16 (=> (tptp.aElementOf0 @t15 @t4) (tptp.aElementOf0 @t15 @t1))))))))) % 0.44/0.63 (assume @p11 (forall @t3 (=> (and @t2 @t11) (forall @t7 (=> @t18 (tptp.isFinite0 @t4)))))) % 0.44/0.63 (assume @p12 @t20) % 0.44/0.63 (assume @p13 (forall @t22 (=> (and @t2 @t17) (=> (and @t21 @t18) (= @t1 @t4))))) % 0.44/0.63 (assume @p14 (forall (@list @t1 @t4 @t15) (=> (and @t2 @t17 @t23) (=> (and @t21 (tptp.aSubsetOf0 @t4 @t15)) (tptp.aSubsetOf0 @t1 @t15))))) % 0.44/0.63 (assume @p15 @t41) % 0.44/0.63 (assume @p16 @t52) % 0.44/0.63 (assume @p17 (forall @t3 (=> @t2 (forall @t7 (=> @t6 (= (tptp.sdtpldt0 @t47 @t4) @t1)))))) % 0.44/0.63 (assume @p18 (and @t54 @t53)) % 0.44/0.63 (assume @p19 @t56) % 0.44/0.63 (assume @p20 (not (and @t60 @t59))) % 0.44/0.63 (assume @p21 true) % 0.44/0.63 (step @p22 :rule eq-symm :args (@t62 @t64)) % 0.44/0.63 (step @p23 :rule cong :premises (@p22) :args (@t65)) % 0.44/0.63 (step @p24 :rule refl :args (@t66)) % 0.44/0.63 (step @p25 :rule nary_cong :premises (@p24 @p23) :args (@t67)) % 0.44/0.63 (step @p26 :rule eq-symm :args (@t61 @t35)) % 0.44/0.63 (step @p27 :rule cong :premises (@p26 @p25) :args (@t68)) % 0.44/0.63 (step @p28 :rule refl :args (@t69)) % 0.44/0.63 (step @p29 :rule refl :args (@t70)) % 0.44/0.63 (step @p30 :rule nary_cong :premises (@p29 @p28 @p27) :args (@t71)) % 0.44/0.63 (step @p31 :rule cong :premises (@p30) :args (@t73)) % 0.44/0.63 (step @p32 :rule quant-merge-prenex :args ((= (forall @t22 @t75) @t73))) % 0.44/0.63 (step @p33 :rule alpha_equiv :args (@t76 (@list @t61) @t77)) % 0.44/0.63 (step @p34 :rule refl :args (@t69)) % 0.44/0.63 (step @p35 :rule refl :args (@t70)) % 0.44/0.63 (step @p36 :rule nary_cong :premises (@p35 @p34 @p33) :args (@t78)) % 0.44/0.63 (step @p37 :rule quant-miniscope-or :args ((= @t75 @t78))) % 0.44/0.63 (step @p38 :rule trans :premises (@p37 @p36)) % 0.44/0.63 (step @p39 :rule symm :premises (@p38)) % 0.44/0.63 (step @p40 :rule cong :premises (@p39) :args ((forall @t22 @t80))) % 0.44/0.63 (step @p41 :rule trans :premises (@p40 @p32)) % 0.44/0.63 (step @p42 :rule trans :premises (@p41 @p31)) % 0.44/0.63 (step @p43 :rule aci_norm :args ((= (or @t81 @t79) @t80))) % 0.44/0.63 (step @p44 :rule refl :args (@t79)) % 0.44/0.63 (step @p45 :rule bool-and-de-morgan :args (@t2 @t5 true)) % 0.44/0.63 (step @p46 :rule nary_cong :premises (@p45 @p44) :args ((or @t82 @t79))) % 0.44/0.63 (step @p47 :rule trans :premises (@p46 @p43)) % 0.44/0.63 (step @p48 :rule bool-impl-elim :args (@t39 @t79)) % 0.44/0.63 (step @p49 :rule trans :premises (@p48 @p47)) % 0.44/0.63 (step @p50 :rule cong :premises (@p49) :args ((forall @t22 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(step @p421 :rule chain_m_resolution :premises (@p420 @p401) :args (@t200 @t101 (@list @t207))) % 0.44/0.63 (step @p422 :rule nary_cong :premises (@p108 @p106 @p320) :args (@t218)) % 0.44/0.63 (step @p423 :rule cong :premises (@p106 @p422) :args (@t219)) % 0.44/0.63 (step @p424 :rule refl :args (@t200)) % 0.44/0.63 (step @p425 :rule cong :premises (@p424 @p423) :args ((=> @t200 @t219))) % 0.44/0.63 (assume-push @p490 @t200) % 0.44/0.63 (step @p427 :rule instantiate :premises (@p490) :args (@t115)) % 0.44/0.63 (step-pop @p491 :rule scope :premises (@p427)) % 0.44/0.63 (step @p428 :rule process_scope :premises (@p491) :args (@t219)) % 0.44/0.63 (step @p430 :rule eq_resolve :premises (@p428 @p425)) % 0.44/0.63 (step @p431 :rule implies_elim :premises (@p430)) % 0.44/0.63 (step @p432 :rule chain_m_resolution :premises (@p431 @p421) :args (@t221 @t101 (@list @t200))) % 0.44/0.63 (step @p433 :rule cnf_equiv_pos1 :args (@t221)) % 0.44/0.63 (step @p434 :rule reordering :premises (@p433) :args ((or @t151 @t220 (not @t221)))) % 0.44/0.63 (step @p435 :rule cnf_and_pos :args (@t220 2)) % 0.44/0.63 (step @p436 :rule reordering :premises (@p435) :args ((or @t121 (not @t220)))) % 0.44/0.63 (step @p437 :rule chain_m_resolution :premises (@p436 @p434 @p432 @p353 @p336 @p345 @p335 @p333) :args (@t122 (@list false false false false false false true) (@list @t220 @t221 @t116 @t113 @t111 @t108 @t190))) % 0.44/0.63 (step @p438 :rule cnf_and_pos :args (@t122 2)) % 0.44/0.63 (step @p439 :rule reordering :premises (@p438) :args ((or @t121 @t123))) % 0.44/0.63 (step @p440 :rule chain_m_resolution :premises (@p439 @p437) :args (@t121 @t101 (@list @t122))) % 0.44/0.63 (step @p441 :rule cnf_equiv_neg2 :args (@t190)) % 0.44/0.63 (step @p442 :rule chain_m_resolution :premises (@p441 @p333 @p437) :args (@t151 @t188 (@list @t190 @t122))) % 0.44/0.63 (step @p443 :rule cnf_or_pos :args (@t117)) % 0.44/0.63 (step @p444 :rule reordering :premises (@p443) :args ((or @t108 @t116 (not @t117)))) % 0.44/0.63 (step @p445 false :rule chain_m_resolution :premises (@p444 @p442 @p440 @p342) :args (false (@list true true false) (@list @t108 @t116 @t117))) % 0.44/0.63 ) % 0.44/0.63 % SZS output end Proof % 0.44/0.63 % cvc5 exiting %------------------------------------------------------------------------------