%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU631^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n001.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 08:52:30 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 : SEU631^2 : TPTP v9.2.1. Released v3.7.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n001.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 17:44:35 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.49 %----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 $$unsorted 0) % 0.36/0.60 (declare-const tptp.emptyset $$unsorted) % 0.36/0.60 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.60 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.36/0.60 (declare-const tptp.binunion (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.60 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.36/0.60 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.36/0.60 (declare-const tptp.dsetconstrER Bool) % 0.36/0.60 (define tptp.kpair () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (_ tptp.setadjoin _let_2))) (lambda (@list _let_2 _let_1) (_ (_ tptp.setadjoin (_ _let_3 tptp.emptyset)) (_ (_ tptp.setadjoin (_ _let_3 (_ (_ tptp.setadjoin _let_1) tptp.emptyset))) tptp.emptyset))))))) % 0.36/0.60 (define tptp.cartprod () (let ((_let_1 (@var "Xz" $$unsorted))) (let ((_let_2 (@var "Xy" $$unsorted))) (let ((_let_3 (@var "Xx" $$unsorted))) (let ((_let_4 (@var "B" $$unsorted))) (let ((_let_5 (@var "A" $$unsorted))) (lambda (@list _let_5 _let_4) (_ (_ tptp.dsetconstr (_ tptp.powerset (_ tptp.powerset (_ (_ tptp.binunion _let_5) _let_4)))) (lambda (@list _let_3) (exists (@list _let_2) (and (_ (_ tptp.in _let_2) _let_5) (exists (@list _let_1) (and (_ (_ tptp.in _let_1) _let_4) (= _let_3 (_ (_ tptp.kpair _let_2) _let_1))))))))))))))) % 0.36/0.60 (define @t1 () (@var "Xx" $$unsorted)) % 0.36/0.60 (define @t2 () (@var "Xphi" (-> $$unsorted Bool))) % 0.36/0.60 (define @t3 () (_ @t2 @t1)) % 0.36/0.60 (define @t4 () (@var "Xy" $$unsorted)) % 0.36/0.60 (define @t5 () (_ @t2 @t4)) % 0.36/0.60 (define @t6 () (@list @t4)) % 0.36/0.60 (define @t7 () (lambda @t6 @t5)) % 0.36/0.60 (define @t8 () (@var "A" $$unsorted)) % 0.36/0.60 (define @t9 () (_ tptp.dsetconstr @t8)) % 0.36/0.60 (define @t10 () (_ @t9 @t7)) % 0.36/0.60 (define @t11 () (_ tptp.in @t1)) % 0.36/0.60 (define @t12 () (_ @t11 @t10)) % 0.36/0.60 (define @t13 () (@list @t8 @t2 @t1)) % 0.36/0.60 (define @t14 () (forall @t13 (=> @t12 @t3))) % 0.36/0.60 (define @t15 () (= tptp.dsetconstrER @t14)) % 0.36/0.60 (define @t16 () (@var "Xu" $$unsorted)) % 0.36/0.60 (define @t17 () (= @t16 (_ (_ tptp.kpair @t1) @t4))) % 0.36/0.60 (define @t18 () (@var "B" $$unsorted)) % 0.36/0.60 (define @t19 () (_ tptp.in @t4)) % 0.36/0.60 (define @t20 () (_ @t19 @t18)) % 0.36/0.60 (define @t21 () (and @t20 @t17)) % 0.36/0.60 (define @t22 () (exists @t6 @t21)) % 0.36/0.60 (define @t23 () (_ @t11 @t8)) % 0.36/0.60 (define @t24 () (and @t23 @t22)) % 0.36/0.60 (define @t25 () (@list @t1)) % 0.36/0.60 (define @t26 () (exists @t25 @t24)) % 0.36/0.60 (define @t27 () (_ tptp.in @t16)) % 0.36/0.60 (define @t28 () (=> (_ @t27 (_ (_ tptp.cartprod @t8) @t18)) @t26)) % 0.36/0.60 (define @t29 () (@list @t8 @t18 @t16)) % 0.36/0.60 (define @t30 () (forall @t29 @t28)) % 0.36/0.60 (define @t31 () (=> tptp.dsetconstrER @t30)) % 0.36/0.60 (define @t32 () (not @t31)) % 0.36/0.60 (define @t33 () (_ tptp.setadjoin @t4)) % 0.36/0.60 (define @t34 () (_ @t33 tptp.emptyset)) % 0.36/0.60 (define @t35 () (_ tptp.setadjoin @t1)) % 0.36/0.60 (define @t36 () (_ @t35 @t34)) % 0.36/0.60 (define @t37 () (_ (_ tptp.setadjoin @t36) tptp.emptyset)) % 0.36/0.60 (define @t38 () (_ @t35 tptp.emptyset)) % 0.36/0.60 (define @t39 () (_ tptp.setadjoin @t38)) % 0.36/0.60 (define @t40 () (_ @t39 @t37)) % 0.36/0.60 (define @t41 () (lambda (@list @t1 @t4) @t40)) % 0.36/0.60 (define @t42 () (@var "Xz" $$unsorted)) % 0.36/0.60 (define @t43 () (= @t1 (_ (_ tptp.kpair @t4) @t42))) % 0.36/0.60 (define @t44 () (_ (_ tptp.in @t42) @t18)) % 0.36/0.60 (define @t45 () (and @t44 @t43)) % 0.36/0.60 (define @t46 () (@list @t42)) % 0.36/0.60 (define @t47 () (exists @t46 @t45)) % 0.36/0.60 (define @t48 () (_ @t19 @t8)) % 0.36/0.60 (define @t49 () (and @t48 @t47)) % 0.36/0.60 (define @t50 () (exists @t6 @t49)) % 0.36/0.60 (define @t51 () (lambda @t25 @t50)) % 0.36/0.60 (define @t52 () (_ (_ tptp.binunion @t8) @t18)) % 0.36/0.60 (define @t53 () (_ tptp.powerset @t52)) % 0.36/0.60 (define @t54 () (_ tptp.powerset @t53)) % 0.36/0.60 (define @t55 () (_ tptp.dsetconstr @t54)) % 0.36/0.60 (define @t56 () (@list @t8 @t18)) % 0.36/0.60 (define @t57 () (lambda @t56 (_ @t55 @t51))) % 0.36/0.60 (define @t58 () (@var "BOUND_VARIABLE_7684" $$unsorted)) % 0.36/0.60 (define @t59 () (tptp.setadjoin @t1 tptp.emptyset)) % 0.36/0.60 (define @t60 () (tptp.setadjoin @t59 (tptp.setadjoin (tptp.setadjoin @t1 (tptp.setadjoin @t58 tptp.emptyset)) tptp.emptyset))) % 0.36/0.60 (define @t61 () (not (= @t16 @t60))) % 0.36/0.60 (define @t62 () (not (tptp.in @t58 @t18))) % 0.36/0.60 (define @t63 () (tptp.in @t1 @t8)) % 0.36/0.60 (define @t64 () (not @t63)) % 0.36/0.60 (define @t65 () (or @t64 @t62 @t61)) % 0.36/0.60 (define @t66 () (@list @t1 @t58)) % 0.36/0.60 (define @t67 () (not (forall @t66 @t65))) % 0.36/0.60 (define @t68 () (@var "BOUND_VARIABLE_7549" $$unsorted)) % 0.36/0.60 (define @t69 () (tptp.setadjoin @t68 tptp.emptyset)) % 0.36/0.60 (define @t70 () (tptp.setadjoin @t4 @t69)) % 0.36/0.60 (define @t71 () (tptp.setadjoin @t70 tptp.emptyset)) % 0.36/0.60 (define @t72 () (tptp.setadjoin @t4 tptp.emptyset)) % 0.36/0.60 (define @t73 () (tptp.setadjoin @t72 @t71)) % 0.36/0.60 (define @t74 () (= @t1 @t73)) % 0.36/0.60 (define @t75 () (not @t74)) % 0.36/0.60 (define @t76 () (tptp.in @t68 @t18)) % 0.36/0.60 (define @t77 () (not @t76)) % 0.36/0.60 (define @t78 () (tptp.in @t4 @t8)) % 0.36/0.60 (define @t79 () (not @t78)) % 0.36/0.60 (define @t80 () (or @t79 @t77 @t75)) % 0.36/0.60 (define @t81 () (@list @t4 @t68)) % 0.36/0.60 (define @t82 () (forall @t81 @t80)) % 0.36/0.60 (define @t83 () (not @t82)) % 0.36/0.60 (define @t84 () (lambda @t25 @t83)) % 0.36/0.60 (define @t85 () (tptp.binunion @t8 @t18)) % 0.36/0.60 (define @t86 () (tptp.powerset @t85)) % 0.36/0.60 (define @t87 () (tptp.powerset @t86)) % 0.36/0.60 (define @t88 () (tptp.dsetconstr @t87 @t84)) % 0.36/0.60 (define @t89 () (tptp.in @t16 @t88)) % 0.36/0.60 (define @t90 () (forall @t29 (or (not @t89) @t67))) % 0.36/0.60 (define @t91 () (_ @t2 @t1)) % 0.36/0.60 (define @t92 () (_ @t2 @t4)) % 0.36/0.60 (define @t93 () (lambda @t6 @t92)) % 0.36/0.60 (define @t94 () (tptp.dsetconstr @t8 @t93)) % 0.36/0.60 (define @t95 () (tptp.in @t1 @t94)) % 0.36/0.60 (define @t96 () (not @t95)) % 0.36/0.60 (define @t97 () (or @t96 @t91)) % 0.36/0.60 (define @t98 () (not @t12)) % 0.36/0.60 (define @t99 () (or @t98 @t3)) % 0.36/0.60 (define @t100 () (=> tptp.dsetconstrER @t90)) % 0.36/0.60 (define @t101 () (_ (_ tptp.setadjoin @t68) tptp.emptyset)) % 0.36/0.60 (define @t102 () (_ @t33 @t101)) % 0.36/0.60 (define @t103 () (_ (_ tptp.setadjoin @t102) tptp.emptyset)) % 0.36/0.60 (define @t104 () (_ tptp.setadjoin @t34)) % 0.36/0.60 (define @t105 () (not @t48)) % 0.36/0.60 (define @t106 () (lambda @t25 (not (forall @t81 (or @t105 (not (_ (_ tptp.in @t68) @t18)) (not (= @t1 (_ @t104 @t103)))))))) % 0.36/0.60 (define @t107 () (_ @t55 @t106)) % 0.36/0.60 (define @t108 () (_ @t55 @t84)) % 0.36/0.60 (define @t109 () (_ @t27 @t108)) % 0.36/0.60 (define @t110 () (not @t109)) % 0.36/0.60 (define @t111 () (or @t110 @t67)) % 0.36/0.60 (define @t112 () (or @t62 @t61)) % 0.36/0.60 (define @t113 () (or @t64 @t112)) % 0.36/0.60 (define @t114 () (forall @t66 @t113)) % 0.36/0.60 (define @t115 () (@list @t58)) % 0.36/0.60 (define @t116 () (forall @t115 @t113)) % 0.36/0.60 (define @t117 () (forall @t115 @t112)) % 0.36/0.60 (define @t118 () (@list @t4)) % 0.36/0.60 (define @t119 () (or @t64 @t117)) % 0.36/0.60 (define @t120 () (tptp.setadjoin @t1 @t72)) % 0.36/0.60 (define @t121 () (tptp.setadjoin @t120 tptp.emptyset)) % 0.36/0.60 (define @t122 () (tptp.setadjoin @t59 @t121)) % 0.36/0.60 (define @t123 () (tptp.in @t4 @t18)) % 0.36/0.60 (define @t124 () (not @t123)) % 0.36/0.60 (define @t125 () (forall @t6 (or @t124 (not (= @t16 @t122))))) % 0.36/0.60 (define @t126 () (not @t23)) % 0.36/0.60 (define @t127 () (or @t126 @t125)) % 0.36/0.60 (define @t128 () (not @t125)) % 0.36/0.60 (define @t129 () (and @t23 @t128)) % 0.36/0.60 (define @t130 () (forall @t25 (not @t129))) % 0.36/0.60 (define @t131 () (not @t130)) % 0.36/0.60 (define @t132 () (not (= @t122 @t16))) % 0.36/0.60 (define @t133 () (or @t124 @t132)) % 0.36/0.60 (define @t134 () (= @t40 @t16)) % 0.36/0.60 (define @t135 () (not @t134)) % 0.36/0.60 (define @t136 () (not @t20)) % 0.36/0.60 (define @t137 () (or @t136 @t135)) % 0.36/0.60 (define @t138 () (and @t20 @t134)) % 0.36/0.60 (define @t139 () (forall @t6 (not @t138))) % 0.36/0.60 (define @t140 () (not @t139)) % 0.36/0.60 (define @t141 () (lambda @t6 @t40)) % 0.36/0.60 (define @t142 () (_ @t41 @t1)) % 0.36/0.60 (define @t143 () (= @t16 (_ @t142 @t4))) % 0.36/0.60 (define @t144 () (and @t20 @t143)) % 0.36/0.60 (define @t145 () (exists @t6 @t144)) % 0.36/0.60 (define @t146 () (and @t23 @t145)) % 0.36/0.60 (define @t147 () (exists @t25 @t146)) % 0.36/0.60 (define @t148 () (lambda (@list @t18) @t108)) % 0.36/0.60 (define @t149 () (_ (lambda @t56 @t108) @t8)) % 0.36/0.60 (define @t150 () (=> (_ @t27 (_ @t149 @t18)) @t147)) % 0.36/0.60 (define @t151 () (forall @t29 @t150)) % 0.36/0.60 (define @t152 () (=> tptp.dsetconstrER @t151)) % 0.36/0.60 (define @t153 () (or @t77 @t75)) % 0.36/0.60 (define @t154 () (or @t79 @t153)) % 0.36/0.60 (define @t155 () (forall @t81 @t154)) % 0.36/0.60 (define @t156 () (@list @t68)) % 0.36/0.60 (define @t157 () (forall @t156 @t154)) % 0.36/0.60 (define @t158 () (forall @t156 @t153)) % 0.36/0.60 (define @t159 () (or @t79 @t158)) % 0.36/0.60 (define @t160 () (tptp.setadjoin @t42 tptp.emptyset)) % 0.36/0.60 (define @t161 () (tptp.setadjoin @t4 @t160)) % 0.36/0.60 (define @t162 () (tptp.setadjoin @t161 tptp.emptyset)) % 0.36/0.60 (define @t163 () (tptp.setadjoin @t72 @t162)) % 0.36/0.60 (define @t164 () (tptp.in @t42 @t18)) % 0.36/0.60 (define @t165 () (forall @t46 (or (not @t164) (not (= @t1 @t163))))) % 0.36/0.60 (define @t166 () (or @t105 @t165)) % 0.36/0.60 (define @t167 () (not @t165)) % 0.36/0.60 (define @t168 () (and @t48 @t167)) % 0.36/0.60 (define @t169 () (forall @t6 (not @t168))) % 0.36/0.60 (define @t170 () (not @t169)) % 0.36/0.60 (define @t171 () (_ (_ tptp.setadjoin @t42) tptp.emptyset)) % 0.36/0.60 (define @t172 () (_ @t33 @t171)) % 0.36/0.60 (define @t173 () (_ (_ tptp.setadjoin @t172) tptp.emptyset)) % 0.36/0.60 (define @t174 () (_ @t104 @t173)) % 0.36/0.60 (define @t175 () (= @t1 @t174)) % 0.36/0.60 (define @t176 () (not @t175)) % 0.36/0.60 (define @t177 () (not @t44)) % 0.36/0.60 (define @t178 () (or @t177 @t176)) % 0.36/0.60 (define @t179 () (and @t44 @t175)) % 0.36/0.60 (define @t180 () (forall @t46 (not @t179))) % 0.36/0.60 (define @t181 () (not @t180)) % 0.36/0.60 (define @t182 () (@var "BOUND_VARIABLE_7484" $$unsorted)) % 0.36/0.60 (define @t183 () (_ (_ tptp.setadjoin @t182) tptp.emptyset)) % 0.36/0.60 (define @t184 () (lambda (@list @t182) (_ @t104 (_ (_ tptp.setadjoin (_ @t33 @t183)) tptp.emptyset)))) % 0.36/0.60 (define @t185 () (= @t1 (_ (_ @t41 @t4) @t42))) % 0.36/0.60 (define @t186 () (and @t44 @t185)) % 0.36/0.60 (define @t187 () (exists @t46 @t186)) % 0.36/0.60 (define @t188 () (and @t48 @t187)) % 0.36/0.60 (define @t189 () (exists @t6 @t188)) % 0.36/0.60 (define @t190 () (@quantifiers_skolemize @t90 2)) % 0.36/0.60 (define @t191 () (@quantifiers_skolemize @t90 1)) % 0.36/0.60 (define @t192 () (not (tptp.in @t68 @t191))) % 0.36/0.60 (define @t193 () (@quantifiers_skolemize @t90 0)) % 0.36/0.60 (define @t194 () (not (tptp.in @t4 @t193))) % 0.36/0.60 (define @t195 () (not (forall @t81 (or @t194 @t192 @t75)))) % 0.36/0.60 (define @t196 () (lambda @t25 @t195)) % 0.36/0.60 (define @t197 () (@purify @t196)) % 0.36/0.60 (define @t198 () (tptp.powerset (tptp.powerset (tptp.binunion @t193 @t191)))) % 0.36/0.60 (define @t199 () (not (tptp.in @t58 @t191))) % 0.36/0.60 (define @t200 () (not (tptp.in @t1 @t193))) % 0.36/0.60 (define @t201 () (forall @t66 (or @t200 @t199 (not (= @t60 @t190))))) % 0.36/0.60 (define @t202 () (not @t201)) % 0.36/0.60 (define @t203 () (tptp.in @t190 (tptp.dsetconstr @t198 @t197))) % 0.36/0.60 (define @t204 () (not @t203)) % 0.36/0.60 (define @t205 () (or @t204 @t202)) % 0.36/0.60 (define @t206 () (not @t205)) % 0.36/0.60 (define @t207 () (not @t90)) % 0.36/0.60 (define @t208 () (tptp.dsetconstr @t198 @t196)) % 0.36/0.60 (define @t209 () (tptp.in @t190 @t208)) % 0.36/0.60 (define @t210 () (not @t209)) % 0.36/0.60 (define @t211 () (or @t210 @t202)) % 0.36/0.60 (define @t212 () (not @t211)) % 0.36/0.60 (define @t213 () (not (= @t190 @t60))) % 0.36/0.60 (define @t214 () (or @t200 @t199 @t213)) % 0.36/0.60 (define @t215 () (forall @t66 @t214)) % 0.36/0.60 (define @t216 () (not @t215)) % 0.36/0.60 (define @t217 () (or @t210 @t216)) % 0.36/0.60 (define @t218 () (not @t217)) % 0.36/0.60 (define @t219 () (@list true)) % 0.36/0.60 (define @t220 () (@list @t205)) % 0.36/0.60 (define @t221 () (_ @t197 @t190)) % 0.36/0.60 (define @t222 () (or @t204 @t221)) % 0.36/0.60 (define @t223 () (forall @t81 (or @t194 @t192 (not (= @t73 @t190))))) % 0.36/0.60 (define @t224 () (@list false)) % 0.36/0.60 (define @t225 () (_ @t197 @t1)) % 0.36/0.60 (define @t226 () (_ @t196 @t1)) % 0.36/0.60 (define @t227 () (= @t225 @t226)) % 0.36/0.60 (define @t228 () (forall @t25 @t227)) % 0.36/0.60 (define @t229 () (not (= @t190 @t73))) % 0.36/0.60 (define @t230 () (or @t194 @t192 @t229)) % 0.36/0.60 (define @t231 () (forall @t81 @t230)) % 0.36/0.60 (define @t232 () (not @t231)) % 0.36/0.60 (define @t233 () (forall @t25 (= @t195 @t225))) % 0.36/0.60 (define @t234 () (= @t232 @t221)) % 0.36/0.60 (define @t235 () (not @t223)) % 0.36/0.60 (define @t236 () (= @t221 @t235)) % 0.36/0.60 (assume @p1 @t15) % 0.36/0.60 (assume @p2 @t32) % 0.36/0.60 (assume @p3 true) % 0.36/0.60 (step @p4 (= tptp.kpair @t41) :rule refl :args (@t41)) % 0.36/0.60 (step @p5 (= tptp.cartprod @t57) :rule refl :args (@t57)) % 0.36/0.60 (step @p6 :rule refl :args (@t90)) % 0.36/0.60 (step @p7 :rule refl :args (@t91)) % 0.36/0.60 (step @p8 :rule lambda-elim :args ((= @t93 @t2))) % 0.36/0.60 (step @p9 :rule refl :args (@t8)) % 0.36/0.60 (step @p10 :rule cong :premises (@p9 @p8) :args (@t94)) % 0.36/0.60 (step @p11 :rule refl :args (@t1)) % 0.36/0.60 (step @p12 :rule cong :premises (@p11 @p10) :args (@t95)) % 0.36/0.60 (step @p13 :rule cong :premises (@p12) :args (@t96)) % 0.36/0.60 (step @p14 :rule nary_cong :premises (@p13 @p7) :args (@t97)) % 0.36/0.60 (step @p15 :rule cong :premises (@p14) :args ((forall @t13 @t97))) % 0.36/0.60 (step @p16 :rule refl :args (@t91)) % 0.36/0.60 (step @p17 :rule refl :args (@t3)) % 0.36/0.60 (step @p18 :rule cong :premises (@p17 @p16) :args ((= @t3 @t91))) % 0.36/0.60 (step @p19 :rule symm :premises (@p18)) % 0.36/0.60 (step @p20 :rule eq_resolve :premises (@p17 @p19)) % 0.36/0.60 (step @p21 :rule refl :args ((tptp.in @t1 @t10))) % 0.36/0.60 (step @p22 :rule refl :args ((tptp.dsetconstr @t8 @t7))) % 0.36/0.60 (step @p23 :rule refl :args (@t92)) % 0.36/0.60 (step @p24 :rule cong :premises (@p23) :args (@t93)) % 0.36/0.60 (step @p25 :rule refl :args (@t8)) % 0.36/0.60 (step @p26 :rule cong :premises (@p25 @p24) :args (@t94)) % 0.36/0.60 (step @p27 :rule trans :premises (@p26 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@p480 :rule trans :premises (@p479 @p477)) % 0.36/0.60 (step @p481 :rule refl :args (@t226)) % 0.36/0.60 (step @p482 :rule ho_cong :premises (@p418 @p11)) % 0.36/0.60 (step @p483 :rule cong :premises (@p482 @p481) :args (@t227)) % 0.36/0.60 (step @p484 :rule cong :premises (@p483) :args (@t228)) % 0.36/0.61 (step @p485 :rule trans :premises (@p484 @p480)) % 0.36/0.61 (step @p486 :rule true_elim :premises (@p485)) % 0.36/0.61 (step @p487 :rule eq_resolve :premises (@p486 @p476)) % 0.36/0.61 (step @p488 :rule eq-symm :args (@t190 @t73)) % 0.36/0.61 (step @p489 :rule cong :premises (@p488) :args (@t229)) % 0.36/0.61 (step @p490 :rule refl :args (@t192)) % 0.36/0.61 (step @p491 :rule refl :args (@t194)) % 0.36/0.61 (step @p492 :rule nary_cong :premises (@p491 @p490 @p489) :args (@t230)) % 0.36/0.61 (step @p493 :rule cong :premises (@p492) :args (@t231)) % 0.36/0.61 (step @p494 :rule cong :premises (@p493) :args (@t232)) % 0.36/0.61 (step @p495 :rule refl :args (@t221)) % 0.36/0.61 (step @p496 :rule cong :premises (@p495 @p494) :args ((= @t221 @t232))) % 0.36/0.61 (step @p497 :rule eq-symm :args (@t232 @t221)) % 0.36/0.61 (step @p498 :rule trans :premises (@p497 @p496)) % 0.36/0.61 (step @p499 :rule refl :args (@t233)) % 0.36/0.61 (step @p500 :rule cong :premises (@p499 @p498) :args ((=> @t233 @t234))) % 0.36/0.61 (assume-push @p513 @t233) % 0.36/0.61 (step @p502 :rule instantiate :premises (@p487) :args ((@list @t190))) % 0.36/0.61 (step-pop @p514 :rule scope :premises (@p502)) % 0.36/0.61 (step @p503 :rule process_scope :premises (@p514) :args (@t234)) % 0.36/0.61 (step @p505 :rule eq_resolve :premises (@p503 @p500)) % 0.36/0.61 (step @p506 :rule implies_elim :premises (@p505)) % 0.36/0.61 (step @p507 :rule chain_m_resolution :premises (@p506 @p487) :args (@t236 @t224 (@list @t233))) % 0.36/0.61 (step @p508 :rule cnf_equiv_pos1 :args (@t236)) % 0.36/0.61 (step @p509 :rule reordering :premises (@p508) :args ((or (not @t221) @t235 (not @t236)))) % 0.36/0.61 (step @p510 false :rule chain_m_resolution :premises (@p509 @p507 @p470 @p461) :args (false (@list false false false) (@list @t236 @t223 @t221))) % 0.36/0.61 ) % 0.36/0.61 % SZS output end Proof % 0.36/0.61 % cvc5 exiting %------------------------------------------------------------------------------