%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU665^2 : 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 : n020.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 08:52:38 AM UTC 2026 % Result : Theorem 0.36s 0.61s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU665^2 : 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 % 0.17/0.34 % Computer : n020.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 17:45:25 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.50 %----Proving TH0 % 0.36/0.61 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.61 % SZS status Theorem % 0.36/0.61 % SZS output start Proof % 0.36/0.61 ( % 0.36/0.61 (declare-sort $$unsorted 0) % 0.36/0.61 (declare-const tptp.kpair (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.cartprod (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.36/0.61 (declare-const tptp.cartprodpairin Bool) % 0.36/0.61 (declare-const tptp.setext Bool) % 0.36/0.61 (declare-const tptp.dsetconstrI Bool) % 0.36/0.61 (define tptp.dpsetconstr () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (@var "Xu" $$unsorted))) (let ((_let_4 (@var "Xphi" (-> $$unsorted $$unsorted Bool)))) (let ((_let_5 (@var "B" $$unsorted))) (let ((_let_6 (@var "A" $$unsorted))) (lambda (@list _let_6 _let_5 _let_4) (_ (_ tptp.dsetconstr (_ (_ tptp.cartprod _let_6) _let_5)) (lambda (@list _let_3) (exists (@list _let_2) (and (_ (_ tptp.in _let_2) _let_6) (exists (@list _let_1) (and (_ (_ tptp.in _let_1) _let_5) (_ (_ _let_4 _let_2) _let_1) (= _let_3 (_ (_ tptp.kpair _let_2) _let_1)))))))))))))))) % 0.36/0.61 (define @t1 () (@var "Xy" $$unsorted)) % 0.36/0.61 (define @t2 () (@var "Xphi" (-> $$unsorted Bool))) % 0.36/0.61 (define @t3 () (_ @t2 @t1)) % 0.36/0.61 (define @t4 () (@list @t1)) % 0.36/0.61 (define @t5 () (lambda @t4 @t3)) % 0.36/0.61 (define @t6 () (@var "A" $$unsorted)) % 0.36/0.61 (define @t7 () (_ tptp.dsetconstr @t6)) % 0.36/0.61 (define @t8 () (_ @t7 @t5)) % 0.36/0.61 (define @t9 () (@var "Xx" $$unsorted)) % 0.36/0.61 (define @t10 () (_ tptp.in @t9)) % 0.36/0.61 (define @t11 () (_ @t10 @t8)) % 0.36/0.61 (define @t12 () (_ @t2 @t9)) % 0.36/0.61 (define @t13 () (=> @t12 @t11)) % 0.36/0.61 (define @t14 () (_ @t10 @t6)) % 0.36/0.61 (define @t15 () (@list @t6 @t2 @t9)) % 0.36/0.61 (define @t16 () (forall @t15 (=> @t14 @t13))) % 0.36/0.61 (define @t17 () (= tptp.dsetconstrI @t16)) % 0.36/0.61 (define @t18 () (@var "B" $$unsorted)) % 0.36/0.61 (define @t19 () (= @t6 @t18)) % 0.36/0.61 (define @t20 () (_ @t10 @t18)) % 0.36/0.61 (define @t21 () (@list @t9)) % 0.36/0.61 (define @t22 () (forall @t21 (=> @t20 @t14))) % 0.36/0.61 (define @t23 () (=> @t22 @t19)) % 0.36/0.61 (define @t24 () (forall @t21 (=> @t14 @t20))) % 0.36/0.61 (define @t25 () (=> @t24 @t23)) % 0.36/0.61 (define @t26 () (@list @t6 @t18)) % 0.36/0.61 (define @t27 () (forall @t26 @t25)) % 0.36/0.61 (define @t28 () (= tptp.setext @t27)) % 0.36/0.61 (define @t29 () (_ (_ tptp.cartprod @t6) @t18)) % 0.36/0.61 (define @t30 () (_ tptp.kpair @t9)) % 0.36/0.61 (define @t31 () (_ @t30 @t1)) % 0.36/0.61 (define @t32 () (_ tptp.in @t31)) % 0.36/0.61 (define @t33 () (_ @t32 @t29)) % 0.36/0.61 (define @t34 () (_ (_ tptp.in @t1) @t18)) % 0.36/0.61 (define @t35 () (forall @t4 (=> @t34 @t33))) % 0.36/0.61 (define @t36 () (=> @t14 @t35)) % 0.36/0.61 (define @t37 () (@list @t6 @t18 @t9)) % 0.36/0.61 (define @t38 () (forall @t37 @t36)) % 0.36/0.61 (define @t39 () (= tptp.cartprodpairin @t38)) % 0.36/0.61 (define @t40 () (@var "Xu" $$unsorted)) % 0.36/0.61 (define @t41 () (@var "Xz" $$unsorted)) % 0.36/0.61 (define @t42 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 0.36/0.61 (define @t43 () (lambda (@list @t41 @t40) (_ (_ @t42 @t41) @t40))) % 0.36/0.61 (define @t44 () (_ @t42 @t9)) % 0.36/0.61 (define @t45 () (_ @t44 @t1)) % 0.36/0.61 (define @t46 () (=> @t45 (_ @t32 (_ (_ (_ tptp.dpsetconstr @t6) @t18) @t43)))) % 0.36/0.61 (define @t47 () (=> @t34 @t46)) % 0.36/0.61 (define @t48 () (forall @t4 @t47)) % 0.36/0.61 (define @t49 () (=> @t14 @t48)) % 0.36/0.61 (define @t50 () (@list @t6 @t18 @t42 @t9)) % 0.36/0.61 (define @t51 () (forall @t50 @t49)) % 0.36/0.61 (define @t52 () (=> tptp.cartprodpairin @t51)) % 0.36/0.61 (define @t53 () (=> tptp.setext @t52)) % 0.36/0.61 (define @t54 () (=> tptp.dsetconstrI @t53)) % 0.36/0.61 (define @t55 () (not @t54)) % 0.36/0.61 (define @t56 () (and @t34 @t45 (= @t40 @t31))) % 0.36/0.61 (define @t57 () (exists @t4 @t56)) % 0.36/0.61 (define @t58 () (and @t14 @t57)) % 0.36/0.61 (define @t59 () (exists @t21 @t58)) % 0.36/0.61 (define @t60 () (@list @t40)) % 0.36/0.61 (define @t61 () (lambda @t60 @t59)) % 0.36/0.61 (define @t62 () (_ tptp.dsetconstr @t29)) % 0.36/0.61 (define @t63 () (@list @t6 @t18 @t42)) % 0.36/0.61 (define @t64 () (lambda @t63 (_ @t62 @t61))) % 0.36/0.61 (define @t65 () (@var "BOUND_VARIABLE_7518" $$unsorted)) % 0.36/0.61 (define @t66 () (@var "BOUND_VARIABLE_7684" $$unsorted)) % 0.36/0.61 (define @t67 () (tptp.kpair @t66 @t65)) % 0.36/0.61 (define @t68 () (not (= @t40 @t67))) % 0.36/0.61 (define @t69 () (tptp.in @t65 @t18)) % 0.36/0.61 (define @t70 () (not @t69)) % 0.36/0.61 (define @t71 () (@list @t66 @t65)) % 0.36/0.61 (define @t72 () (tptp.cartprod @t6 @t18)) % 0.36/0.61 (define @t73 () (tptp.dsetconstr @t72 (lambda @t60 (not (forall @t71 (or (not (tptp.in @t66 @t6)) @t70 (not (_ @t42 @t66 @t65)) @t68)))))) % 0.36/0.61 (define @t74 () (@var "BOUND_VARIABLE_7708" $$unsorted)) % 0.36/0.61 (define @t75 () (tptp.in (tptp.kpair @t9 @t74) @t73)) % 0.36/0.61 (define @t76 () (not (_ @t42 @t9 @t74))) % 0.36/0.61 (define @t77 () (not (tptp.in @t74 @t18))) % 0.36/0.61 (define @t78 () (tptp.in @t9 @t6)) % 0.36/0.61 (define @t79 () (not @t78)) % 0.36/0.61 (define @t80 () (or @t79 @t77 @t76 @t75)) % 0.36/0.61 (define @t81 () (@list @t6 @t18 @t42 @t9 @t74)) % 0.36/0.61 (define @t82 () (forall @t81 @t80)) % 0.36/0.61 (define @t83 () (@quantifiers_skolemize @t82 2)) % 0.36/0.61 (define @t84 () (not (_ @t83 @t66 @t65))) % 0.36/0.61 (define @t85 () (@quantifiers_skolemize @t82 1)) % 0.36/0.61 (define @t86 () (not (tptp.in @t65 @t85))) % 0.36/0.61 (define @t87 () (@quantifiers_skolemize @t82 0)) % 0.36/0.61 (define @t88 () (not (tptp.in @t66 @t87))) % 0.36/0.61 (define @t89 () (not (forall @t71 (or @t88 @t86 @t84 @t68)))) % 0.36/0.61 (define @t90 () (lambda @t60 @t89)) % 0.36/0.61 (define @t91 () (@purify @t90)) % 0.36/0.61 (define @t92 () (_ @t91 @t40)) % 0.36/0.61 (define @t93 () (_ @t90 @t40)) % 0.36/0.61 (define @t94 () (= @t92 @t93)) % 0.36/0.61 (define @t95 () (forall @t60 @t94)) % 0.36/0.61 (define @t96 () (@quantifiers_skolemize @t82 4)) % 0.36/0.61 (define @t97 () (@quantifiers_skolemize @t82 3)) % 0.36/0.61 (define @t98 () (tptp.kpair @t97 @t96)) % 0.36/0.61 (define @t99 () (not (= @t98 @t67))) % 0.36/0.61 (define @t100 () (or @t88 @t86 @t84 @t99)) % 0.36/0.61 (define @t101 () (forall @t71 @t100)) % 0.36/0.61 (define @t102 () (not @t101)) % 0.36/0.61 (define @t103 () (_ @t91 @t98)) % 0.36/0.61 (define @t104 () (forall @t60 (= @t89 @t92))) % 0.36/0.61 (define @t105 () (= @t102 @t103)) % 0.36/0.61 (define @t106 () (forall @t71 (or @t88 @t86 @t84 (not (= @t67 @t98))))) % 0.36/0.61 (define @t107 () (not @t106)) % 0.36/0.61 (define @t108 () (= @t103 @t107)) % 0.36/0.61 (define @t109 () (@var "BOUND_VARIABLE_7621" $$unsorted)) % 0.36/0.61 (define @t110 () (tptp.in (tptp.kpair @t9 @t109) @t72)) % 0.36/0.61 (define @t111 () (not (tptp.in @t109 @t18))) % 0.36/0.61 (define @t112 () (or @t111 @t110)) % 0.36/0.61 (define @t113 () (or @t79 @t112)) % 0.36/0.61 (define @t114 () (forall (@list @t6 @t18 @t9 @t109) @t113)) % 0.36/0.61 (define @t115 () (@list @t109)) % 0.36/0.61 (define @t116 () (forall @t115 @t113)) % 0.36/0.61 (define @t117 () (forall @t115 @t112)) % 0.36/0.61 (define @t118 () (@list @t1)) % 0.36/0.61 (define @t119 () (or @t79 @t117)) % 0.36/0.61 (define @t120 () (tptp.kpair @t9 @t1)) % 0.36/0.61 (define @t121 () (tptp.in @t120 @t72)) % 0.36/0.61 (define @t122 () (tptp.in @t1 @t18)) % 0.36/0.61 (define @t123 () (not @t122)) % 0.36/0.61 (define @t124 () (forall @t4 (or @t123 @t121))) % 0.36/0.61 (define @t125 () (not @t14)) % 0.36/0.61 (define @t126 () (or @t125 @t124)) % 0.36/0.61 (define @t127 () (_ tptp.in @t120)) % 0.36/0.61 (define @t128 () (not @t34)) % 0.36/0.61 (define @t129 () (or @t128 @t33)) % 0.36/0.61 (define @t130 () (=> tptp.cartprodpairin @t82)) % 0.36/0.61 (define @t131 () (tptp.in @t9 @t18)) % 0.36/0.61 (define @t132 () (forall @t21 (or (not @t131) @t78))) % 0.36/0.61 (define @t133 () (not @t132)) % 0.36/0.61 (define @t134 () (forall @t21 (or @t79 @t131))) % 0.36/0.61 (define @t135 () (not @t134)) % 0.36/0.61 (define @t136 () (=> @t132 @t19)) % 0.36/0.61 (define @t137 () (not @t20)) % 0.36/0.61 (define @t138 () (or @t137 @t14)) % 0.36/0.61 (define @t139 () (or @t125 @t20)) % 0.36/0.61 (define @t140 () (=> tptp.setext @t130)) % 0.36/0.61 (define @t141 () (_ @t2 @t1)) % 0.36/0.61 (define @t142 () (lambda @t4 @t141)) % 0.36/0.61 (define @t143 () (tptp.dsetconstr @t6 @t142)) % 0.36/0.61 (define @t144 () (tptp.in @t9 @t143)) % 0.36/0.61 (define @t145 () (_ @t2 @t9)) % 0.36/0.61 (define @t146 () (not @t145)) % 0.36/0.61 (define @t147 () (or @t79 @t146 @t144)) % 0.36/0.61 (define @t148 () (not @t12)) % 0.36/0.61 (define @t149 () (or @t125 @t148 @t11)) % 0.36/0.61 (define @t150 () (=> tptp.dsetconstrI @t140)) % 0.36/0.61 (define @t151 () (or @t77 @t76 @t75)) % 0.36/0.61 (define @t152 () (or @t79 @t151)) % 0.36/0.61 (define @t153 () (forall @t81 @t152)) % 0.36/0.61 (define @t154 () (@list @t74)) % 0.36/0.61 (define @t155 () (forall @t154 @t152)) % 0.36/0.61 (define @t156 () (forall @t154 @t151)) % 0.36/0.61 (define @t157 () (or @t79 @t156)) % 0.36/0.61 (define @t158 () (_ @t42 @t9 @t1)) % 0.36/0.61 (define @t159 () (not @t158)) % 0.36/0.61 (define @t160 () (forall @t4 (or @t123 @t159 (tptp.in @t120 @t73)))) % 0.36/0.61 (define @t161 () (or @t125 @t160)) % 0.36/0.61 (define @t162 () (tptp.kpair @t9 @t65)) % 0.36/0.61 (define @t163 () (= @t40 @t162)) % 0.36/0.61 (define @t164 () (not @t163)) % 0.36/0.61 (define @t165 () (_ @t42 @t9 @t65)) % 0.36/0.61 (define @t166 () (not @t165)) % 0.36/0.61 (define @t167 () (or @t79 @t70 @t166 @t164)) % 0.36/0.61 (define @t168 () (@list @t9 @t65)) % 0.36/0.61 (define @t169 () (forall @t168 @t167)) % 0.36/0.61 (define @t170 () (not @t169)) % 0.36/0.61 (define @t171 () (lambda @t60 @t170)) % 0.36/0.61 (define @t172 () (tptp.dsetconstr @t72 @t171)) % 0.36/0.61 (define @t173 () (tptp.in @t120 @t172)) % 0.36/0.61 (define @t174 () (or @t123 @t159 @t173)) % 0.36/0.61 (define @t175 () (forall @t4 @t174)) % 0.36/0.61 (define @t176 () (=> @t14 @t175)) % 0.36/0.61 (define @t177 () (_ @t44 @t65)) % 0.36/0.61 (define @t178 () (not @t177)) % 0.36/0.61 (define @t179 () (lambda @t60 (not (forall @t168 (or @t125 (not (_ (_ tptp.in @t65) @t18)) @t178 (not (= @t40 (_ @t30 @t65)))))))) % 0.36/0.61 (define @t180 () (_ @t62 @t179)) % 0.36/0.61 (define @t181 () (not @t45)) % 0.36/0.61 (define @t182 () (_ @t62 @t171)) % 0.36/0.61 (define @t183 () (_ @t32 @t182)) % 0.36/0.61 (define @t184 () (or @t128 @t181 @t183)) % 0.36/0.61 (define @t185 () (=> @t45 @t183)) % 0.36/0.61 (define @t186 () (or @t79 @t70 @t178 @t164)) % 0.36/0.61 (define @t187 () (_ @t43 @t9 @t65)) % 0.36/0.61 (define @t188 () (not @t187)) % 0.36/0.61 (define @t189 () (or @t79 @t70 @t188 @t164)) % 0.36/0.61 (define @t190 () (forall @t168 @t189)) % 0.36/0.61 (define @t191 () (not @t190)) % 0.36/0.61 (define @t192 () (lambda @t60 @t191)) % 0.36/0.61 (define @t193 () (lambda (@list @t42) @t182)) % 0.36/0.61 (define @t194 () (lambda (@list @t18 @t42) @t182)) % 0.36/0.61 (define @t195 () (_ (lambda @t63 @t182) @t6)) % 0.36/0.61 (define @t196 () (=> @t45 (_ @t32 (_ (_ @t195 @t18) @t43)))) % 0.36/0.61 (define @t197 () (=> @t34 @t196)) % 0.36/0.61 (define @t198 () (forall @t4 @t197)) % 0.36/0.61 (define @t199 () (=> @t14 @t198)) % 0.36/0.61 (define @t200 () (forall @t50 @t199)) % 0.36/0.61 (define @t201 () (=> tptp.cartprodpairin @t200)) % 0.36/0.61 (define @t202 () (=> tptp.setext @t201)) % 0.36/0.61 (define @t203 () (=> tptp.dsetconstrI @t202)) % 0.36/0.61 (define @t204 () (or @t70 @t166 @t164)) % 0.36/0.61 (define @t205 () (or @t79 @t204)) % 0.36/0.61 (define @t206 () (forall @t168 @t205)) % 0.36/0.61 (define @t207 () (@list @t65)) % 0.36/0.61 (define @t208 () (forall @t207 @t205)) % 0.36/0.61 (define @t209 () (forall @t207 @t204)) % 0.36/0.61 (define @t210 () (or @t79 @t209)) % 0.36/0.61 (define @t211 () (forall @t4 (or @t123 @t159 (not (= @t40 @t120))))) % 0.36/0.61 (define @t212 () (or @t125 @t211)) % 0.36/0.61 (define @t213 () (not @t211)) % 0.36/0.61 (define @t214 () (and @t14 @t213)) % 0.36/0.61 (define @t215 () (forall @t21 (not @t214))) % 0.36/0.61 (define @t216 () (not @t215)) % 0.36/0.61 (define @t217 () (not (= @t120 @t40))) % 0.36/0.61 (define @t218 () (or @t123 @t159 @t217)) % 0.36/0.61 (define @t219 () (= @t31 @t40)) % 0.36/0.61 (define @t220 () (not @t219)) % 0.36/0.61 (define @t221 () (or @t128 @t181 @t220)) % 0.36/0.61 (define @t222 () (and @t34 @t45 @t219)) % 0.36/0.61 (define @t223 () (forall @t4 (not @t222))) % 0.36/0.61 (define @t224 () (not @t223)) % 0.36/0.61 (define @t225 () (tptp.cartprod @t87 @t85)) % 0.36/0.61 (define @t226 () (tptp.in @t98 (tptp.dsetconstr @t225 @t91))) % 0.36/0.61 (define @t227 () (_ @t83 @t97 @t96)) % 0.36/0.61 (define @t228 () (not @t227)) % 0.36/0.61 (define @t229 () (tptp.in @t96 @t85)) % 0.36/0.61 (define @t230 () (not @t229)) % 0.36/0.61 (define @t231 () (tptp.in @t97 @t87)) % 0.36/0.61 (define @t232 () (not @t231)) % 0.36/0.61 (define @t233 () (or @t232 @t230 @t228 @t226)) % 0.36/0.61 (define @t234 () (not @t233)) % 0.36/0.61 (define @t235 () (not @t82)) % 0.36/0.61 (define @t236 () (tptp.dsetconstr @t225 @t90)) % 0.36/0.61 (define @t237 () (tptp.in @t98 @t236)) % 0.36/0.61 (define @t238 () (or @t232 @t230 @t228 @t237)) % 0.36/0.61 (define @t239 () (not @t238)) % 0.36/0.61 (define @t240 () (@list true)) % 0.36/0.61 (define @t241 () (@list @t233)) % 0.36/0.61 (define @t242 () (tptp.in @t98 @t225)) % 0.36/0.61 (define @t243 () (or @t232 @t230 @t242)) % 0.36/0.61 (define @t244 () (@list false false false)) % 0.36/0.61 (define @t245 () (not @t103)) % 0.36/0.61 (define @t246 () (not @t242)) % 0.36/0.61 (define @t247 () (or @t246 @t245 @t226)) % 0.36/0.61 (define @t248 () (not @t108)) % 0.36/0.61 (define @t249 () (@list true false)) % 0.36/0.61 (define @t250 () (or @t232 @t230 @t228)) % 0.36/0.61 (define @t251 () (not @t250)) % 0.36/0.61 (define @t252 () (not (= @t98 @t98))) % 0.36/0.61 (define @t253 () (or @t232 @t230 @t228 @t252)) % 0.36/0.61 (assume @p1 @t17) % 0.36/0.61 (assume @p2 @t28) % 0.36/0.61 (assume @p3 @t39) % 0.36/0.61 (assume @p4 @t55) % 0.36/0.61 (assume @p5 true) % 0.36/0.61 (step @p6 (= tptp.dpsetconstr @t64) :rule refl :args (@t64)) % 0.36/0.61 (step @p7 :rule eq-symm :args (@t92 @t89)) % 0.36/0.61 (step @p8 :rule beta-reduce :args ((= @t93 @t89))) % 0.36/0.61 (step @p9 :rule refl :args (@t92)) % 0.36/0.61 (step @p10 :rule cong :premises (@p9 @p8) :args (@t94)) % 0.36/0.61 (step @p11 :rule trans :premises (@p10 @p7)) % 0.36/0.61 (step @p12 :rule cong :premises (@p11) :args (@t95)) % 0.36/0.61 (step @p13 :rule quant-unused-vars :args ((= (forall @t60 true) true))) % 0.36/0.61 (step @p14 :rule eq-refl :args (@t93)) % 0.36/0.61 (step @p15 :rule cong :premises (@p14) :args ((forall @t60 (= @t93 @t93)))) % 0.36/0.61 (step @p16 :rule trans :premises (@p15 @p13)) % 0.36/0.61 (step @p17 :rule refl :args (@t93)) % 0.36/0.61 (step @p18 :rule refl :args (@t40)) % 0.36/0.61 (step @p19 :rule skolem_intro :args (@t91)) % 0.36/0.61 (step 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0.36/0.61 (step @p469 :rule chain_m_resolution :premises (@p468 @p466 @p464 @p416) :args (@t245 (@list true false false) (@list @t226 @t242 @t247))) % 0.36/0.61 (step @p470 :rule bool-double-not-elim :args (@t106)) % 0.36/0.61 (step @p471 :rule refl :args (@t248)) % 0.36/0.61 (step @p472 :rule nary_cong :premises (@p471 @p34 @p470) :args ((or @t248 @t103 (not @t107)))) % 0.36/0.61 (step @p473 :rule cnf_equiv_pos2 :args (@t108)) % 0.36/0.61 (step @p474 :rule eq_resolve :premises (@p473 @p472)) % 0.36/0.61 (step @p475 :rule reordering :premises (@p474) :args ((or @t103 @t106 @t248))) % 0.36/0.61 (step @p476 :rule chain_m_resolution :premises (@p475 @p469 @p46) :args (@t106 @t249 (@list @t103 @t108))) % 0.36/0.61 (step @p477 :rule bool-double-not-elim :args (@t227)) % 0.36/0.61 (step @p478 :rule nary_cong :premises (@p450 @p477) :args ((or @t233 (not @t228)))) % 0.36/0.61 (step @p479 :rule cnf_or_neg :args (@t233 2)) % 0.36/0.61 (step @p480 :rule eq_resolve :premises (@p479 @p478)) % 0.36/0.61 (step @p481 :rule reordering :premises (@p480) :args ((or @t227 @t233))) % 0.36/0.61 (step @p482 :rule chain_m_resolution :premises (@p481 @p448) :args (@t227 @t240 @t241)) % 0.36/0.61 (step @p483 :rule cnf_or_pos :args (@t250)) % 0.36/0.61 (step @p484 :rule reordering :premises (@p483) :args ((or @t232 @t230 @t228 @t251))) % 0.36/0.61 (step @p485 :rule chain_m_resolution :premises (@p484 @p461 @p455 @p482) :args (@t251 @t244 (@list @t231 @t229 @t227))) % 0.36/0.61 (step @p486 :rule aci_norm :args ((= (or @t232 @t230 @t228 false) @t250))) % 0.36/0.61 (step @p487 :rule evaluate :args ((not true))) % 0.36/0.61 (step @p488 :rule eq-refl :args (@t98)) % 0.36/0.61 (step @p489 :rule cong :premises (@p488) :args (@t252)) % 0.36/0.61 (step @p490 :rule trans :premises (@p489 @p487)) % 0.36/0.61 (step @p491 :rule nary_cong :premises (@p436 @p435 @p434 @p490) :args (@t253)) % 0.36/0.61 (step @p492 :rule trans :premises (@p491 @p486)) % 0.36/0.61 (step @p493 :rule refl :args (@t106)) % 0.36/0.61 (step @p494 :rule cong :premises (@p493 @p492) :args ((=> @t106 @t253))) % 0.36/0.61 (assume-push @p506 @t106) % 0.36/0.61 (step @p496 :rule instantiate :premises (@p476) :args ((@list @t97 @t96))) % 0.36/0.61 (step-pop @p507 :rule scope :premises (@p496)) % 0.36/0.61 (step @p497 :rule process_scope :premises (@p507) :args (@t253)) % 0.36/0.61 (step @p499 :rule eq_resolve :premises (@p497 @p494)) % 0.36/0.61 (step @p500 :rule implies_elim :premises (@p499)) % 0.36/0.61 (step @p501 false :rule chain_m_resolution :premises (@p500 @p485 @p476) :args (false @t249 (@list @t250 @t106))) % 0.36/0.61 ) % 0.36/0.61 % SZS output end Proof % 0.36/0.61 % cvc5 exiting %------------------------------------------------------------------------------