%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : QUA012^1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n009.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 08:44:40 AM UTC 2026 % Result : Theorem 0.36s 0.60s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : QUA012^1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n009.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 13:19:59 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.49 %----Proving TH0 % 0.36/0.60 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.60 % SZS status Theorem % 0.36/0.60 % SZS output start Proof % 0.36/0.60 ( % 0.36/0.60 (declare-sort $$unsorted 0) % 0.36/0.60 (declare-const tptp.sup (-> (-> $$unsorted Bool) $$unsorted)) % 0.36/0.60 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.60 (declare-const tptp.one $$unsorted) % 0.36/0.60 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.36/0.60 (declare-const tptp.zero $$unsorted) % 0.36/0.60 (define tptp.emptyset () (lambda (@list (@var "X" $$unsorted)) false)) % 0.36/0.60 (define tptp.union () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.36/0.60 (define tptp.singleton () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (lambda (@list _let_1 _let_2) (= _let_2 _let_1))))) % 0.36/0.60 (define tptp.supset () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "F" (-> (-> $$unsorted Bool) Bool)))) (lambda (@list _let_3 _let_1) (exists (@list _let_2) (and (_ _let_3 _let_2) (= (_ tptp.sup _let_2) _let_1)))))))) % 0.36/0.60 (define tptp.unionset () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "F" (-> (-> $$unsorted Bool) Bool)))) (lambda (@list _let_3 _let_1) (exists (@list _let_2) (and (_ _let_3 _let_2) (_ _let_2 _let_1)))))))) % 0.36/0.60 (define tptp.addition () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (lambda (@list _let_2 _let_1) (_ tptp.sup (_ (_ tptp.union (_ tptp.singleton _let_2)) (_ tptp.singleton _let_1))))))) % 0.36/0.60 (define tptp.crossmult () (let ((_let_1 (@var "Y1" $$unsorted))) (let ((_let_2 (@var "X1" $$unsorted))) (let ((_let_3 (@var "A" $$unsorted))) (let ((_let_4 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_5 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_5 _let_4 _let_3) (exists (@list _let_2 _let_1) (and (_ _let_5 _let_2) (_ _let_4 _let_1) (= _let_3 (_ (_ tptp.multiplication _let_2) _let_1))))))))))) % 0.36/0.60 (define @t1 () (= (_ tptp.sup tptp.emptyset) tptp.zero)) % 0.36/0.60 (define @t2 () (@var "X" $$unsorted)) % 0.36/0.60 (define @t3 () (_ tptp.singleton @t2)) % 0.36/0.60 (define @t4 () (@list @t2)) % 0.36/0.60 (define @t5 () (@var "X" (-> (-> $$unsorted Bool) Bool))) % 0.36/0.60 (define @t6 () (@var "X2" $$unsorted)) % 0.36/0.60 (define @t7 () (@var "X1" $$unsorted)) % 0.36/0.60 (define @t8 () (@var "Y" (-> $$unsorted Bool))) % 0.36/0.60 (define @t9 () (@var "X" (-> $$unsorted Bool))) % 0.36/0.60 (define @t10 () (_ tptp.sup @t8)) % 0.36/0.60 (define @t11 () (_ tptp.sup @t9)) % 0.36/0.60 (define @t12 () (_ (_ tptp.multiplication @t11) @t10)) % 0.36/0.60 (define @t13 () (= @t12 (_ tptp.sup (_ (_ tptp.crossmult @t9) @t8)))) % 0.36/0.60 (define @t14 () (@list @t9 @t8)) % 0.36/0.60 (define @t15 () (forall @t14 @t13)) % 0.36/0.60 (define @t16 () (_ tptp.multiplication tptp.zero)) % 0.36/0.60 (define @t17 () (_ @t16 @t11)) % 0.36/0.60 (define @t18 () (@list @t9)) % 0.36/0.60 (define @t19 () (forall @t18 (= @t17 tptp.zero))) % 0.36/0.60 (define @t20 () (not @t19)) % 0.36/0.60 (define @t21 () (lambda @t4 false)) % 0.36/0.60 (define @t22 () (@var "U" $$unsorted)) % 0.36/0.60 (define @t23 () (lambda (@list @t9 @t8 @t22) (or (_ @t9 @t22) (_ @t8 @t22)))) % 0.36/0.60 (define @t24 () (lambda (@list @t2 @t22) (= @t22 @t2))) % 0.36/0.60 (define @t25 () (@var "F" (-> (-> $$unsorted Bool) Bool))) % 0.36/0.60 (define @t26 () (_ @t25 @t8)) % 0.36/0.60 (define @t27 () (@list @t8)) % 0.36/0.60 (define @t28 () (@list @t25 @t2)) % 0.36/0.60 (define @t29 () (lambda @t28 (exists @t27 (and @t26 (= @t10 @t2))))) % 0.36/0.60 (define @t30 () (lambda @t28 (exists @t27 (and @t26 (_ @t8 @t2))))) % 0.36/0.60 (define @t31 () (@var "Y" $$unsorted)) % 0.36/0.60 (define @t32 () (lambda (@list @t2 @t31) (_ tptp.sup (_ (_ tptp.union @t3) (_ tptp.singleton @t31))))) % 0.36/0.60 (define @t33 () (@var "Y1" $$unsorted)) % 0.36/0.60 (define @t34 () (_ (_ tptp.multiplication @t7) @t33)) % 0.36/0.60 (define @t35 () (@var "A" $$unsorted)) % 0.36/0.60 (define @t36 () (= @t35 @t34)) % 0.36/0.60 (define @t37 () (_ @t8 @t33)) % 0.36/0.60 (define @t38 () (_ @t9 @t7)) % 0.36/0.60 (define @t39 () (and @t38 @t37 @t36)) % 0.36/0.60 (define @t40 () (@list @t7 @t33)) % 0.36/0.60 (define @t41 () (exists @t40 @t39)) % 0.36/0.60 (define @t42 () (@list @t9 @t8 @t35)) % 0.36/0.60 (define @t43 () (lambda @t42 @t41)) % 0.36/0.60 (define @t44 () (tptp.multiplication @t7 @t33)) % 0.36/0.60 (define @t45 () (= @t35 @t44)) % 0.36/0.60 (define @t46 () (not @t45)) % 0.36/0.60 (define @t47 () (tptp.sup @t9)) % 0.36/0.60 (define @t48 () (@var "BOUND_VARIABLE_7929" $$unsorted)) % 0.36/0.60 (define @t49 () (lambda (@list @t48) false)) % 0.36/0.60 (define @t50 () (tptp.sup @t49)) % 0.36/0.60 (define @t51 () (forall @t18 (= @t50 (tptp.multiplication @t50 @t47)))) % 0.36/0.60 (define @t52 () (@quantifiers_skolemize @t51 0)) % 0.36/0.60 (define @t53 () (not (_ @t52 @t33))) % 0.36/0.60 (define @t54 () (@purify @t49)) % 0.36/0.60 (define @t55 () (not (_ @t54 @t7))) % 0.36/0.60 (define @t56 () (or @t55 @t53 @t46)) % 0.36/0.60 (define @t57 () (forall @t40 @t56)) % 0.36/0.60 (define @t58 () (not @t57)) % 0.36/0.60 (define @t59 () (@list @t35)) % 0.36/0.60 (define @t60 () (lambda @t59 @t58)) % 0.36/0.60 (define @t61 () (@purify @t60)) % 0.36/0.60 (define @t62 () (_ @t61 @t35)) % 0.36/0.60 (define @t63 () (_ @t60 @t35)) % 0.36/0.60 (define @t64 () (= @t62 @t63)) % 0.36/0.60 (define @t65 () (forall @t59 @t64)) % 0.36/0.60 (define @t66 () (@const 0 $$unsorted)) % 0.36/0.60 (define @t67 () (not (= @t66 @t44))) % 0.36/0.60 (define @t68 () (or @t55 @t53 @t67)) % 0.36/0.60 (define @t69 () (forall @t40 @t68)) % 0.36/0.60 (define @t70 () (not @t69)) % 0.36/0.60 (define @t71 () (_ @t61 @t66)) % 0.36/0.60 (define @t72 () (forall @t59 (= @t58 @t62))) % 0.36/0.60 (define @t73 () (= @t70 @t71)) % 0.36/0.60 (define @t74 () (not (= @t44 @t66))) % 0.36/0.60 (define @t75 () (forall @t40 (or @t55 @t53 @t74))) % 0.36/0.60 (define @t76 () (not @t75)) % 0.36/0.60 (define @t77 () (= @t71 @t76)) % 0.36/0.60 (define @t78 () (@list false)) % 0.36/0.60 (define @t79 () (not @t36)) % 0.36/0.60 (define @t80 () (not @t37)) % 0.36/0.60 (define @t81 () (not @t38)) % 0.36/0.60 (define @t82 () (or @t81 @t80 @t79)) % 0.36/0.60 (define @t83 () (forall @t40 @t82)) % 0.36/0.60 (define @t84 () (lambda @t59 (not @t83))) % 0.36/0.60 (define @t85 () (_ @t8 @t33)) % 0.36/0.60 (define @t86 () (not @t85)) % 0.36/0.60 (define @t87 () (_ @t9 @t7)) % 0.36/0.60 (define @t88 () (not @t87)) % 0.36/0.60 (define @t89 () (or @t88 @t86 @t46)) % 0.36/0.60 (define @t90 () (forall @t40 @t89)) % 0.36/0.60 (define @t91 () (not @t90)) % 0.36/0.60 (define @t92 () (lambda @t59 @t91)) % 0.36/0.60 (define @t93 () (tptp.sup @t92)) % 0.36/0.60 (define @t94 () (_ tptp.sup @t92)) % 0.36/0.60 (define @t95 () (tptp.sup @t8)) % 0.36/0.60 (define @t96 () (tptp.multiplication @t47 @t95)) % 0.36/0.60 (define @t97 () (= @t12 @t94)) % 0.36/0.60 (define @t98 () (lambda (@list @t8 @t35) @t91)) % 0.36/0.60 (define @t99 () (_ (lambda @t42 @t91) @t9)) % 0.36/0.60 (define @t100 () (= @t12 (_ tptp.sup (_ @t99 @t8)))) % 0.36/0.60 (define @t101 () (forall @t40 (not @t39))) % 0.36/0.60 (define @t102 () (not @t101)) % 0.36/0.60 (define @t103 () (_ @t49 @t7)) % 0.36/0.60 (define @t104 () (not @t103)) % 0.36/0.60 (define @t105 () (or @t104 @t53 @t46)) % 0.36/0.60 (define @t106 () (forall @t40 @t105)) % 0.36/0.60 (define @t107 () (not @t106)) % 0.36/0.60 (define @t108 () (lambda @t59 @t107)) % 0.36/0.60 (define @t109 () (tptp.sup @t60)) % 0.36/0.60 (define @t110 () (tptp.sup @t52)) % 0.36/0.60 (define @t111 () (tptp.sup @t54)) % 0.36/0.60 (define @t112 () (tptp.multiplication @t111 @t110)) % 0.36/0.60 (define @t113 () (= @t112 @t109)) % 0.36/0.60 (define @t114 () (forall @t14 (= @t96 @t93))) % 0.36/0.60 (define @t115 () (= @t112 (tptp.sup @t61))) % 0.36/0.60 (define @t116 () (_ tptp.sup @t49)) % 0.36/0.60 (define @t117 () (tptp.multiplication @t116 @t47)) % 0.36/0.60 (define @t118 () (= @t116 @t117)) % 0.36/0.60 (define @t119 () (forall @t18 @t118)) % 0.36/0.60 (define @t120 () (@list @t48)) % 0.36/0.60 (define @t121 () (tptp.multiplication tptp.zero @t47)) % 0.36/0.60 (define @t122 () (= tptp.zero @t121)) % 0.36/0.60 (define @t123 () (forall @t18 @t122)) % 0.36/0.60 (define @t124 () (= tptp.zero @t17)) % 0.36/0.60 (define @t125 () (= @t111 @t112)) % 0.36/0.60 (define @t126 () (not @t125)) % 0.36/0.60 (define @t127 () (not @t51)) % 0.36/0.60 (define @t128 () (tptp.multiplication @t50 @t110)) % 0.36/0.60 (define @t129 () (= @t50 @t128)) % 0.36/0.60 (define @t130 () (not @t129)) % 0.36/0.60 (define @t131 () (@list true)) % 0.36/0.60 (define @t132 () (= @t54 @t61)) % 0.36/0.60 (define @t133 () (and @t115 @t132)) % 0.36/0.60 (define @t134 () (not @t132)) % 0.36/0.60 (define @t135 () (not (_ @t54 @t33))) % 0.36/0.60 (define @t136 () (or @t55 @t135 @t46)) % 0.36/0.60 (define @t137 () (forall @t40 @t136)) % 0.36/0.60 (define @t138 () (not @t137)) % 0.36/0.60 (define @t139 () (lambda @t59 @t138)) % 0.36/0.60 (define @t140 () (@purify @t139)) % 0.36/0.60 (define @t141 () (_ @t140 @t35)) % 0.36/0.60 (define @t142 () (_ @t139 @t35)) % 0.36/0.60 (define @t143 () (= @t141 @t142)) % 0.36/0.60 (define @t144 () (forall @t59 @t143)) % 0.36/0.60 (define @t145 () (@const 1 $$unsorted)) % 0.36/0.60 (define @t146 () (not (= @t145 @t44))) % 0.36/0.60 (define @t147 () (or @t55 @t135 @t146)) % 0.36/0.60 (define @t148 () (forall @t40 @t147)) % 0.36/0.60 (define @t149 () (not @t148)) % 0.36/0.60 (define @t150 () (_ @t140 @t145)) % 0.36/0.60 (define @t151 () (forall @t59 (= @t138 @t141))) % 0.36/0.60 (define @t152 () (= @t149 @t150)) % 0.36/0.60 (define @t153 () (not (= @t44 @t145))) % 0.36/0.60 (define @t154 () (forall @t40 (or @t55 @t135 @t153))) % 0.36/0.60 (define @t155 () (not @t154)) % 0.36/0.60 (define @t156 () (= @t150 @t155)) % 0.36/0.60 (define @t157 () (@quantifiers_skolemize @t154 1)) % 0.36/0.60 (define @t158 () (@quantifiers_skolemize @t154 0)) % 0.36/0.60 (define @t159 () (tptp.multiplication @t158 @t157)) % 0.36/0.60 (define @t160 () (not (= @t145 @t159))) % 0.36/0.60 (define @t161 () (_ @t49 @t157)) % 0.36/0.60 (define @t162 () (_ @t54 @t157)) % 0.36/0.60 (define @t163 () (not @t162)) % 0.36/0.60 (define @t164 () (_ @t49 @t158)) % 0.36/0.60 (define @t165 () (_ @t54 @t158)) % 0.36/0.60 (define @t166 () (not @t165)) % 0.36/0.60 (define @t167 () (or @t166 @t163 @t160)) % 0.36/0.60 (define @t168 () (not @t167)) % 0.36/0.60 (define @t169 () (not (= @t159 @t145))) % 0.36/0.60 (define @t170 () (or @t166 @t163 @t169)) % 0.36/0.60 (define @t171 () (not @t170)) % 0.36/0.60 (define @t172 () (not @t150)) % 0.36/0.60 (define @t173 () (@list false false)) % 0.36/0.60 (define @t174 () (_ @t49 @t145)) % 0.36/0.60 (define @t175 () (_ @t54 @t145)) % 0.36/0.60 (define @t176 () (= @t175 @t150)) % 0.36/0.60 (define @t177 () (not @t176)) % 0.36/0.60 (define @t178 () (= @t54 @t140)) % 0.36/0.60 (define @t179 () (or @t178 @t177)) % 0.36/0.60 (define @t180 () (_ @t49 @t33)) % 0.36/0.60 (define @t181 () (not @t180)) % 0.36/0.60 (define @t182 () (or @t104 @t181 @t146)) % 0.36/0.60 (define @t183 () (forall @t40 @t182)) % 0.36/0.60 (define @t184 () (not @t183)) % 0.36/0.60 (define @t185 () (or @t104 @t181 @t46)) % 0.36/0.60 (define @t186 () (forall @t40 @t185)) % 0.36/0.60 (define @t187 () (not @t186)) % 0.36/0.60 (define @t188 () (lambda @t59 @t187)) % 0.36/0.60 (define @t189 () (_ @t188 @t145)) % 0.36/0.60 (define @t190 () (= @t174 @t189)) % 0.36/0.60 (define @t191 () (not @t190)) % 0.36/0.60 (define @t192 () (= @t49 @t188)) % 0.36/0.60 (define @t193 () (= @t140 @t61)) % 0.36/0.60 (define @t194 () (not @t193)) % 0.36/0.60 (define @t195 () (not @t178)) % 0.36/0.60 (define @t196 () (and @t178 @t134)) % 0.36/0.60 (define @t197 () (or @t104 @t181 @t67)) % 0.36/0.60 (define @t198 () (forall @t40 @t197)) % 0.36/0.60 (define @t199 () (not @t198)) % 0.36/0.60 (define @t200 () (_ @t188 @t66)) % 0.36/0.60 (define @t201 () (or @t104 @t53 @t67)) % 0.36/0.60 (define @t202 () (forall @t40 @t201)) % 0.36/0.60 (define @t203 () (not @t202)) % 0.36/0.60 (define @t204 () (_ @t108 @t66)) % 0.36/0.60 (define @t205 () (not (= @t200 @t204))) % 0.36/0.60 (define @t206 () (= @t188 @t108)) % 0.36/0.60 (define @t207 () (_ @t140 @t66)) % 0.36/0.60 (define @t208 () (= @t207 @t71)) % 0.36/0.60 (define @t209 () (not @t208)) % 0.36/0.60 (define @t210 () (_ @t188 @t66)) % 0.36/0.60 (define @t211 () (_ @t140 @t66)) % 0.36/0.60 (define @t212 () (not @t211)) % 0.36/0.60 (define @t213 () (=> @t178 @t212)) % 0.36/0.60 (define @t214 () (not @t210)) % 0.36/0.60 (define @t215 () (@quantifiers_skolemize @t75 1)) % 0.36/0.60 (define @t216 () (@quantifiers_skolemize @t75 0)) % 0.36/0.60 (define @t217 () (tptp.multiplication @t216 @t215)) % 0.36/0.60 (define @t218 () (not (= @t66 @t217))) % 0.36/0.60 (define @t219 () (not (_ @t52 @t215))) % 0.36/0.60 (define @t220 () (_ @t49 @t216)) % 0.36/0.60 (define @t221 () (_ @t54 @t216)) % 0.36/0.60 (define @t222 () (not @t221)) % 0.36/0.60 (define @t223 () (or @t222 @t219 @t218)) % 0.36/0.60 (define @t224 () (not @t223)) % 0.36/0.60 (define @t225 () (not (= @t217 @t66))) % 0.36/0.60 (define @t226 () (or @t222 @t219 @t225)) % 0.36/0.60 (define @t227 () (not @t226)) % 0.36/0.60 (assume @p1 @t1) % 0.36/0.60 (assume @p2 (forall @t4 (= (_ tptp.sup @t3) @t2))) % 0.36/0.60 (assume @p3 (forall (@list @t5) (= (_ tptp.sup (_ tptp.supset @t5)) (_ tptp.sup (_ tptp.unionset @t5))))) % 0.36/0.60 (assume @p4 (forall (@list @t7 @t6) (= (_ (_ tptp.leq @t7) @t6) (= (_ (_ tptp.addition @t7) @t6) @t6)))) % 0.36/0.60 (assume @p5 @t15) % 0.36/0.60 (assume @p6 (forall @t4 (= (_ (_ tptp.multiplication @t2) tptp.one) @t2))) % 0.36/0.60 (assume @p7 (forall @t4 (= (_ (_ tptp.multiplication tptp.one) @t2) @t2))) % 0.36/0.60 (assume @p8 @t20) % 0.36/0.60 (assume @p9 true) % 0.36/0.60 (step @p10 (= tptp.emptyset @t21) :rule refl :args (@t21)) % 0.36/0.60 (step @p11 (= tptp.union @t23) :rule refl :args (@t23)) % 0.36/0.60 (step @p12 (= tptp.singleton @t24) :rule refl :args (@t24)) % 0.36/0.60 (step @p13 (= tptp.supset @t29) :rule refl :args (@t29)) % 0.36/0.60 (step @p14 (= tptp.unionset @t30) :rule refl :args (@t30)) % 0.36/0.60 (step @p15 (= tptp.addition @t32) :rule refl :args (@t32)) % 0.36/0.60 (step @p16 (= tptp.crossmult @t43) :rule refl :args (@t43)) % 0.36/0.60 (step @p17 :rule eq-symm :args (@t62 @t58)) % 0.36/0.60 (step @p18 :rule beta-reduce :args ((= @t63 @t58))) % 0.36/0.60 (step @p19 :rule refl :args (@t62)) % 0.36/0.60 (step @p20 :rule cong :premises (@p19 @p18) :args (@t64)) % 0.36/0.60 (step @p21 :rule trans :premises (@p20 @p17)) % 0.36/0.60 (step @p22 :rule cong :premises (@p21) :args (@t65)) % 0.36/0.60 (step @p23 :rule quant-unused-vars :args ((= (forall @t59 true) true))) % 0.36/0.60 (step @p24 :rule eq-refl :args (@t63)) % 0.36/0.60 (step @p25 :rule cong :premises (@p24) :args ((forall @t59 (= @t63 @t63)))) % 0.36/0.60 (step @p26 :rule trans :premises (@p25 @p23)) % 0.36/0.60 (step @p27 :rule refl :args (@t63)) % 0.36/0.60 (step @p28 :rule 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@p517 :rule ho_cong :premises (@p428 @p502)) % 0.36/0.60 (step @p518 :rule cong :premises (@p504 @p517) :args ((= @t207 @t211))) % 0.36/0.60 (step @p519 :rule eq-symm :args (@t211 @t207)) % 0.36/0.60 (step @p520 :rule trans :premises (@p519 @p518 @p516)) % 0.36/0.60 (step @p521 :rule true_elim :premises (@p520)) % 0.36/0.60 (step @p522 :rule cong :premises (@p521) :args (@t212)) % 0.36/0.60 (step @p523 :rule cong :premises (@p382 @p522) :args (@t213)) % 0.36/0.60 (step @p524 :rule bool-eq-false :args (@t211)) % 0.36/0.60 (step @p525 :rule eq-symm :args (@t140 @t54)) % 0.36/0.60 (step @p526 :rule cong :premises (@p525 @p524) :args ((=> (= @t140 @t54) (= @t211 false)))) % 0.36/0.60 (step @p527 :rule trans :premises (@p526 @p523)) % 0.36/0.60 (step @p528 :rule evaluate :args ((=> true true))) % 0.36/0.60 (step @p529 :rule cong :premises (@p514) :args (@t214)) % 0.36/0.60 (step @p530 :rule trans :premises (@p529 @p319)) % 0.36/0.60 (step @p531 :rule cong :premises (@p418 @p530) :args ((=> @t192 @t214))) % 0.36/0.60 (step @p532 :rule trans :premises (@p531 @p528)) % 0.36/0.60 (step @p533 :rule cong :premises (@p517) :args (@t212)) % 0.36/0.60 (step @p534 :rule cong :premises (@p432 @p533) :args (@t213)) % 0.36/0.60 (step @p535 :rule trans :premises (@p526 @p534 @p532)) % 0.36/0.60 (step @p536 :rule true_elim :premises (@p535)) % 0.36/0.60 (step @p537 :rule eq_resolve :premises (@p536 @p527)) % 0.36/0.60 (step @p538 :rule implies_elim :premises (@p537)) % 0.36/0.60 (step @p539 :rule chain_m_resolution :premises (@p538 @p437) :args ((not @t207) @t78 (@list @t178))) % 0.36/0.60 (step @p540 :rule cnf_equiv_neg1 :args (@t208)) % 0.36/0.60 (step @p541 :rule reordering :premises (@p540) :args ((or @t207 @t71 @t208))) % 0.36/0.60 (step @p542 :rule chain_m_resolution :premises (@p541 @p539 @p511) :args (@t71 (@list true true) (@list @t207 @t208))) % 0.36/0.60 (step @p543 :rule cnf_equiv_pos1 :args (@t77)) % 0.36/0.60 (step @p544 :rule reordering :premises (@p543) :args ((or (not @t71) @t76 (not @t77)))) % 0.36/0.60 (step @p545 :rule chain_m_resolution :premises (@p544 @p542 @p55) :args (@t76 @t173 (@list @t71 @t77))) % 0.36/0.60 (step @p546 :rule bool-double-not-elim :args (@t75)) % 0.36/0.60 (step @p547 :rule bool-impl-false1 :args (@t76)) % 0.36/0.60 (step @p548 :rule trans :premises (@p547 @p546)) % 0.36/0.60 (step @p549 :rule absorb :args ((= (or true @t219 @t218) true))) % 0.36/0.60 (step @p550 :rule refl :args (@t218)) % 0.36/0.60 (step @p551 :rule refl :args (@t219)) % 0.36/0.60 (step @p552 :rule beta-reduce :args ((= @t220 false))) % 0.36/0.60 (step @p553 :rule cong :premises (@p552) :args ((not @t220))) % 0.36/0.60 (step @p554 :rule trans :premises (@p553 @p319)) % 0.36/0.60 (step @p555 :rule refl :args (@t216)) % 0.36/0.60 (step @p556 :rule ho_cong :premises (@p156 @p555)) % 0.36/0.60 (step @p557 :rule cong :premises (@p556) :args (@t222)) % 0.36/0.60 (step @p558 :rule bool-eq-false :args (@t221)) % 0.36/0.60 (step @p559 :rule trans :premises (@p558 @p557 @p554)) % 0.36/0.60 (step @p560 :rule true_elim :premises (@p559)) % 0.36/0.60 (step @p561 :rule cong :premises (@p560) :args (@t222)) % 0.36/0.60 (step @p562 :rule trans :premises (@p561 @p319)) % 0.36/0.60 (step @p563 :rule nary_cong :premises (@p562 @p551 @p550) :args (@t223)) % 0.36/0.60 (step @p564 :rule trans :premises (@p563 @p549)) % 0.36/0.60 (step @p565 :rule cong :premises (@p564) :args (@t224)) % 0.36/0.60 (step @p566 :rule trans :premises (@p565 @p316)) % 0.36/0.60 (step @p567 :rule refl :args (@t76)) % 0.36/0.60 (step @p568 :rule cong :premises (@p567 @p566) :args ((=> @t76 @t224))) % 0.36/0.60 (step @p569 :rule trans :premises (@p568 @p548)) % 0.36/0.60 (step @p570 :rule eq-symm :args (@t217 @t66)) % 0.36/0.60 (step @p571 :rule cong :premises (@p570) :args (@t225)) % 0.36/0.60 (step @p572 :rule refl :args (@t222)) % 0.36/0.60 (step @p573 :rule nary_cong :premises (@p572 @p551 @p571) :args (@t226)) % 0.36/0.60 (step @p574 :rule cong :premises (@p573) :args (@t227)) % 0.36/0.60 (step @p575 :rule cong :premises (@p567 @p574) :args ((=> @t76 @t227))) % 0.36/0.60 (step @p576 :rule trans :premises (@p575 @p569)) % 0.36/0.60 (assume-push @p609 @t76) % 0.36/0.60 (step @p578 :rule skolemize :premises (@p609)) % 0.36/0.60 (step-pop @p610 :rule scope :premises (@p578)) % 0.36/0.60 (step @p579 :rule process_scope :premises (@p610) :args (@t227)) % 0.36/0.60 (step @p581 :rule eq_resolve :premises (@p579 @p576)) % 0.36/0.60 (step @p582 false :rule chain_m_resolution :premises (@p581 @p545) :args (false @t131 (@list @t75))) % 0.36/0.60 ) % 0.36/0.60 % SZS output end Proof % 0.36/0.60 % cvc5 exiting %------------------------------------------------------------------------------