%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU671^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n016.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 08:52:40 AM UTC 2026 % Result : Theorem 0.40s 0.59s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU671^2 : TPTP v9.2.1. Released v3.7.0. % 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 : n016.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 17:46:09 EDT 2026 % 0.16/0.34 % CPUTime : % 0.34/0.50 %----Proving TH0 % 0.40/0.59 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.40/0.59 % SZS status Theorem % 0.40/0.59 % SZS output start Proof % 0.40/0.59 ( % 0.40/0.59 (declare-sort $$unsorted 0) % 0.40/0.59 (declare-const tptp.kpair (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.59 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.40/0.59 (declare-const tptp.cartprod (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.59 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.40/0.59 (declare-const tptp.setukpairinjR Bool) % 0.40/0.59 (declare-const tptp.setukpairinjL Bool) % 0.40/0.59 (declare-const tptp.dsetconstrER Bool) % 0.40/0.59 (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" $$unsorted))) (lambda (@list _let_6 _let_5 _let_4) (_ (_ tptp.dsetconstr (_ (_ tptp.cartprod _let_6) _let_5)) (lambda (@list _let_3) (exists (@list _let_2) (and (_ (_ tptp.in _let_2) _let_6) (exists (@list _let_1) (and (_ (_ tptp.in _let_1) _let_5) (_ (_ _let_4 _let_2) _let_1) (= _let_3 (_ (_ tptp.kpair _let_2) _let_1)))))))))))))))) % 0.40/0.59 (define @t1 () (@var "Xx" $$unsorted)) % 0.40/0.59 (define @t2 () (@var "Xphi" (-> $$unsorted Bool))) % 0.40/0.59 (define @t3 () (_ @t2 @t1)) % 0.40/0.59 (define @t4 () (@var "Xy" $$unsorted)) % 0.40/0.59 (define @t5 () (_ @t2 @t4)) % 0.40/0.59 (define @t6 () (@list @t4)) % 0.40/0.59 (define @t7 () (lambda @t6 @t5)) % 0.40/0.59 (define @t8 () (@var "A" $$unsorted)) % 0.40/0.59 (define @t9 () (_ tptp.dsetconstr @t8)) % 0.40/0.59 (define @t10 () (_ @t9 @t7)) % 0.40/0.59 (define @t11 () (_ tptp.in @t1)) % 0.40/0.59 (define @t12 () (_ @t11 @t10)) % 0.40/0.59 (define @t13 () (@list @t8 @t2 @t1)) % 0.40/0.59 (define @t14 () (forall @t13 (=> @t12 @t3))) % 0.40/0.59 (define @t15 () (= tptp.dsetconstrER @t14)) % 0.40/0.59 (define @t16 () (@var "Xz" $$unsorted)) % 0.40/0.59 (define @t17 () (= @t1 @t16)) % 0.40/0.59 (define @t18 () (@var "Xu" $$unsorted)) % 0.40/0.59 (define @t19 () (_ (_ tptp.kpair @t16) @t18)) % 0.40/0.59 (define @t20 () (_ (_ tptp.kpair @t1) @t4)) % 0.40/0.59 (define @t21 () (= @t20 @t19)) % 0.40/0.59 (define @t22 () (@list @t1 @t4 @t16 @t18)) % 0.40/0.59 (define @t23 () (forall @t22 (=> @t21 @t17))) % 0.40/0.59 (define @t24 () (= tptp.setukpairinjL @t23)) % 0.40/0.59 (define @t25 () (= @t4 @t18)) % 0.40/0.59 (define @t26 () (forall @t22 (=> @t21 @t25))) % 0.40/0.59 (define @t27 () (= tptp.setukpairinjR @t26)) % 0.40/0.59 (define @t28 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 0.40/0.59 (define @t29 () (_ @t28 @t1)) % 0.40/0.59 (define @t30 () (_ @t29 @t4)) % 0.40/0.59 (define @t31 () (lambda (@list @t16 @t18) (_ (_ @t28 @t16) @t18))) % 0.40/0.59 (define @t32 () (@var "B" $$unsorted)) % 0.40/0.59 (define @t33 () (_ tptp.in @t20)) % 0.40/0.59 (define @t34 () (=> (_ @t33 (_ (_ (_ tptp.dpsetconstr @t8) @t32) @t31)) @t30)) % 0.40/0.59 (define @t35 () (@list @t8 @t32 @t28 @t1 @t4)) % 0.40/0.59 (define @t36 () (forall @t35 @t34)) % 0.40/0.59 (define @t37 () (=> tptp.setukpairinjR @t36)) % 0.40/0.59 (define @t38 () (=> tptp.setukpairinjL @t37)) % 0.40/0.59 (define @t39 () (=> tptp.dsetconstrER @t38)) % 0.40/0.59 (define @t40 () (not @t39)) % 0.40/0.59 (define @t41 () (= @t18 @t20)) % 0.40/0.59 (define @t42 () (_ (_ tptp.in @t4) @t32)) % 0.40/0.59 (define @t43 () (and @t42 @t30 @t41)) % 0.40/0.59 (define @t44 () (exists @t6 @t43)) % 0.40/0.59 (define @t45 () (_ @t11 @t8)) % 0.40/0.59 (define @t46 () (and @t45 @t44)) % 0.40/0.59 (define @t47 () (@list @t1)) % 0.40/0.59 (define @t48 () (exists @t47 @t46)) % 0.40/0.59 (define @t49 () (@list @t18)) % 0.40/0.59 (define @t50 () (lambda @t49 @t48)) % 0.40/0.59 (define @t51 () (_ (_ tptp.cartprod @t8) @t32)) % 0.40/0.59 (define @t52 () (_ tptp.dsetconstr @t51)) % 0.40/0.59 (define @t53 () (@list @t8 @t32 @t28)) % 0.40/0.59 (define @t54 () (lambda @t53 (_ @t52 @t50))) % 0.40/0.59 (define @t55 () (_ @t28 @t1 @t4)) % 0.40/0.59 (define @t56 () (@var "BOUND_VARIABLE_7504" $$unsorted)) % 0.40/0.59 (define @t57 () (@var "BOUND_VARIABLE_7618" $$unsorted)) % 0.40/0.59 (define @t58 () (tptp.kpair @t57 @t56)) % 0.40/0.59 (define @t59 () (= @t18 @t58)) % 0.40/0.59 (define @t60 () (not @t59)) % 0.40/0.59 (define @t61 () (_ @t28 @t57 @t56)) % 0.40/0.59 (define @t62 () (not @t61)) % 0.40/0.59 (define @t63 () (tptp.in @t56 @t32)) % 0.40/0.59 (define @t64 () (not @t63)) % 0.40/0.59 (define @t65 () (tptp.in @t57 @t8)) % 0.40/0.59 (define @t66 () (not @t65)) % 0.40/0.59 (define @t67 () (or @t66 @t64 @t62 @t60)) % 0.40/0.59 (define @t68 () (@list @t57 @t56)) % 0.40/0.59 (define @t69 () (forall @t68 @t67)) % 0.40/0.59 (define @t70 () (not @t69)) % 0.40/0.59 (define @t71 () (lambda @t49 @t70)) % 0.40/0.59 (define @t72 () (tptp.cartprod @t8 @t32)) % 0.40/0.59 (define @t73 () (tptp.dsetconstr @t72 @t71)) % 0.40/0.59 (define @t74 () (tptp.kpair @t1 @t4)) % 0.40/0.59 (define @t75 () (tptp.in @t74 @t73)) % 0.40/0.59 (define @t76 () (forall @t35 (or (not @t75) @t55))) % 0.40/0.59 (define @t77 () (tptp.kpair @t16 @t18)) % 0.40/0.59 (define @t78 () (not @t21)) % 0.40/0.59 (define @t79 () (or @t78 @t25)) % 0.40/0.59 (define @t80 () (=> tptp.setukpairinjR @t76)) % 0.40/0.59 (define @t81 () (or @t78 @t17)) % 0.40/0.59 (define @t82 () (=> tptp.setukpairinjL @t80)) % 0.40/0.59 (define @t83 () (_ @t2 @t1)) % 0.40/0.59 (define @t84 () (_ @t2 @t4)) % 0.40/0.59 (define @t85 () (lambda @t6 @t84)) % 0.40/0.59 (define @t86 () (tptp.dsetconstr @t8 @t85)) % 0.40/0.59 (define @t87 () (tptp.in @t1 @t86)) % 0.40/0.59 (define @t88 () (not @t87)) % 0.40/0.59 (define @t89 () (or @t88 @t83)) % 0.40/0.59 (define @t90 () (not @t12)) % 0.40/0.59 (define @t91 () (or @t90 @t3)) % 0.40/0.59 (define @t92 () (=> tptp.dsetconstrER @t82)) % 0.40/0.59 (define @t93 () (lambda @t49 (not (forall @t68 (or (not (_ (_ tptp.in @t57) @t8)) (not (_ (_ tptp.in @t56) @t32)) (not (_ (_ @t28 @t57) @t56)) (not (= @t18 (_ (_ tptp.kpair @t57) @t56)))))))) % 0.40/0.59 (define @t94 () (_ @t52 @t93)) % 0.40/0.59 (define @t95 () (_ @t33 (_ @t52 @t71))) % 0.40/0.59 (define @t96 () (not @t95)) % 0.40/0.59 (define @t97 () (or @t96 @t30)) % 0.40/0.59 (define @t98 () (not (= @t18 (tptp.kpair @t1 @t56)))) % 0.40/0.59 (define @t99 () (_ @t28 @t1 @t56)) % 0.40/0.59 (define @t100 () (not @t99)) % 0.40/0.59 (define @t101 () (tptp.in @t1 @t8)) % 0.40/0.59 (define @t102 () (not @t101)) % 0.40/0.59 (define @t103 () (or @t102 @t64 @t100 @t98)) % 0.40/0.59 (define @t104 () (@list @t1 @t56)) % 0.40/0.59 (define @t105 () (forall @t104 @t103)) % 0.40/0.59 (define @t106 () (not @t105)) % 0.40/0.59 (define @t107 () (lambda @t49 @t106)) % 0.40/0.59 (define @t108 () (_ @t52 @t107)) % 0.40/0.59 (define @t109 () (=> (_ @t33 @t108) @t30)) % 0.40/0.59 (define @t110 () (_ @t29 @t56)) % 0.40/0.59 (define @t111 () (not @t110)) % 0.40/0.59 (define @t112 () (or @t102 @t64 @t111 @t98)) % 0.40/0.59 (define @t113 () (_ @t31 @t1 @t56)) % 0.40/0.59 (define @t114 () (not @t113)) % 0.40/0.59 (define @t115 () (or @t102 @t64 @t114 @t98)) % 0.40/0.59 (define @t116 () (forall @t104 @t115)) % 0.40/0.59 (define @t117 () (not @t116)) % 0.40/0.59 (define @t118 () (lambda @t49 @t117)) % 0.40/0.59 (define @t119 () (lambda (@list @t28) @t108)) % 0.40/0.59 (define @t120 () (lambda (@list @t32 @t28) @t108)) % 0.40/0.59 (define @t121 () (_ (lambda @t53 @t108) @t8)) % 0.40/0.59 (define @t122 () (=> (_ @t33 (_ (_ @t121 @t32) @t31)) @t30)) % 0.40/0.59 (define @t123 () (forall @t35 @t122)) % 0.40/0.59 (define @t124 () (=> tptp.setukpairinjR @t123)) % 0.40/0.59 (define @t125 () (=> tptp.setukpairinjL @t124)) % 0.40/0.59 (define @t126 () (=> tptp.dsetconstrER @t125)) % 0.40/0.59 (define @t127 () (or @t64 @t100 @t98)) % 0.40/0.59 (define @t128 () (or @t102 @t127)) % 0.40/0.59 (define @t129 () (forall @t104 @t128)) % 0.40/0.59 (define @t130 () (@list @t56)) % 0.40/0.59 (define @t131 () (forall @t130 @t128)) % 0.40/0.59 (define @t132 () (forall @t130 @t127)) % 0.40/0.59 (define @t133 () (or @t102 @t132)) % 0.40/0.59 (define @t134 () (tptp.in @t4 @t32)) % 0.40/0.59 (define @t135 () (forall @t6 (or (not @t134) (not @t55) (not (= @t18 @t74))))) % 0.40/0.59 (define @t136 () (not @t45)) % 0.40/0.59 (define @t137 () (or @t136 @t135)) % 0.40/0.59 (define @t138 () (not @t135)) % 0.40/0.59 (define @t139 () (and @t45 @t138)) % 0.40/0.59 (define @t140 () (forall @t47 (not @t139))) % 0.40/0.59 (define @t141 () (not @t140)) % 0.40/0.59 (define @t142 () (not @t41)) % 0.40/0.59 (define @t143 () (not @t30)) % 0.40/0.59 (define @t144 () (not @t42)) % 0.40/0.59 (define @t145 () (or @t144 @t143 @t142)) % 0.40/0.59 (define @t146 () (forall @t6 (not @t43))) % 0.40/0.59 (define @t147 () (not @t146)) % 0.40/0.59 (define @t148 () (@quantifiers_skolemize @t76 4)) % 0.40/0.59 (define @t149 () (@quantifiers_skolemize @t76 3)) % 0.40/0.59 (define @t150 () (@quantifiers_skolemize @t76 2)) % 0.40/0.59 (define @t151 () (_ @t150 @t149 @t148)) % 0.40/0.59 (define @t152 () (not (_ @t150 @t57 @t56))) % 0.40/0.59 (define @t153 () (@quantifiers_skolemize @t76 1)) % 0.40/0.59 (define @t154 () (not (tptp.in @t56 @t153))) % 0.40/0.59 (define @t155 () (@quantifiers_skolemize @t76 0)) % 0.40/0.59 (define @t156 () (not (tptp.in @t57 @t155))) % 0.40/0.59 (define @t157 () (not (forall @t68 (or @t156 @t154 @t152 @t60)))) % 0.40/0.59 (define @t158 () (lambda @t49 @t157)) % 0.40/0.59 (define @t159 () (@purify @t158)) % 0.40/0.59 (define @t160 () (tptp.cartprod @t155 @t153)) % 0.40/0.59 (define @t161 () (tptp.kpair @t149 @t148)) % 0.40/0.59 (define @t162 () (tptp.in @t161 (tptp.dsetconstr @t160 @t159))) % 0.40/0.59 (define @t163 () (not @t162)) % 0.40/0.59 (define @t164 () (or @t163 @t151)) % 0.40/0.59 (define @t165 () (not @t164)) % 0.40/0.59 (define @t166 () (not @t76)) % 0.40/0.59 (define @t167 () (tptp.dsetconstr @t160 @t158)) % 0.40/0.59 (define @t168 () (tptp.in @t161 @t167)) % 0.40/0.59 (define @t169 () (not @t168)) % 0.40/0.59 (define @t170 () (or @t169 @t151)) % 0.40/0.59 (define @t171 () (not @t170)) % 0.40/0.59 (define @t172 () (@list true)) % 0.40/0.59 (define @t173 () (@list @t164)) % 0.40/0.59 (define @t174 () (forall @t68 (or @t156 @t154 @t152 (not (= @t58 @t161))))) % 0.40/0.59 (define @t175 () (@quantifiers_skolemize @t174 1)) % 0.40/0.59 (define @t176 () (@quantifiers_skolemize @t174 0)) % 0.40/0.59 (define @t177 () (@list @t149 @t148 @t176 @t175)) % 0.40/0.59 (define @t178 () (_ @t159 @t18)) % 0.40/0.59 (define @t179 () (_ @t158 @t18)) % 0.40/0.59 (define @t180 () (= @t178 @t179)) % 0.40/0.59 (define @t181 () (forall @t49 @t180)) % 0.40/0.59 (define @t182 () (not (= @t161 @t58))) % 0.40/0.59 (define @t183 () (or @t156 @t154 @t152 @t182)) % 0.40/0.59 (define @t184 () (forall @t68 @t183)) % 0.40/0.59 (define @t185 () (not @t184)) % 0.40/0.59 (define @t186 () (_ @t159 @t161)) % 0.40/0.59 (define @t187 () (forall @t49 (= @t157 @t178))) % 0.40/0.59 (define @t188 () (= @t185 @t186)) % 0.40/0.59 (define @t189 () (not @t174)) % 0.40/0.59 (define @t190 () (= @t186 @t189)) % 0.40/0.59 (define @t191 () (or @t163 @t186)) % 0.40/0.59 (define @t192 () (@list false false)) % 0.40/0.59 (define @t193 () (tptp.kpair @t176 @t175)) % 0.40/0.59 (define @t194 () (= @t161 @t193)) % 0.40/0.59 (define @t195 () (not @t194)) % 0.40/0.59 (define @t196 () (_ @t150 @t176 @t175)) % 0.40/0.59 (define @t197 () (not @t196)) % 0.40/0.59 (define @t198 () (not (tptp.in @t175 @t153))) % 0.40/0.59 (define @t199 () (not (tptp.in @t176 @t155))) % 0.40/0.59 (define @t200 () (or @t199 @t198 @t197 @t195)) % 0.40/0.59 (define @t201 () (not @t200)) % 0.40/0.59 (define @t202 () (not (= @t193 @t161))) % 0.40/0.59 (define @t203 () (or @t199 @t198 @t197 @t202)) % 0.40/0.59 (define @t204 () (not @t203)) % 0.40/0.59 (define @t205 () (@list @t200)) % 0.40/0.59 (define @t206 () (= @t148 @t175)) % 0.40/0.59 (define @t207 () (or @t195 @t206)) % 0.40/0.59 (define @t208 () (= @t149 @t176)) % 0.40/0.59 (define @t209 () (or @t195 @t208)) % 0.40/0.59 (assume @p1 @t15) % 0.40/0.59 (assume @p2 @t24) % 0.40/0.59 (assume @p3 @t27) % 0.40/0.59 (assume @p4 @t40) % 0.40/0.59 (assume @p5 true) % 0.40/0.59 (step @p6 (= tptp.dpsetconstr @t54) :rule refl :args (@t54)) % 0.40/0.59 (step @p7 :rule evaluate :args ((= true false))) % 0.40/0.59 (step @p8 :rule refl :args (@t76)) % 0.40/0.59 (step @p9 :rule refl :args (@t25)) % 0.40/0.59 (step @p10 :rule refl :args (@t77)) % 0.40/0.59 (step @p11 :rule refl :args (@t19)) % 0.40/0.59 (step @p12 :rule cong :premises (@p11 @p10) :args ((= @t19 @t77))) % 0.40/0.59 (step @p13 :rule symm :premises (@p12)) % 0.40/0.59 (step @p14 :rule eq_resolve :premises (@p11 @p13)) % 0.40/0.59 (step @p15 :rule refl :args (@t74)) % 0.40/0.59 (step @p16 :rule refl :args (@t20)) % 0.40/0.59 (step @p17 :rule cong :premises (@p16 @p15) :args ((= @t20 @t74))) % 0.40/0.59 (step @p18 :rule symm :premises (@p17)) % 0.40/0.59 (step @p19 :rule eq_resolve :premises (@p16 @p18)) % 0.40/0.59 (step @p20 :rule cong :premises (@p19 @p14) :args (@t21)) % 0.40/0.59 (step @p21 :rule cong :premises (@p20) :args (@t78)) % 0.40/0.59 (step @p22 :rule nary_cong :premises (@p21 @p9) :args (@t79)) % 0.40/0.59 (step @p23 :rule cong :premises (@p22) :args ((forall @t22 @t79))) % 0.40/0.59 (step @p24 :rule bool-impl-elim :args (@t21 @t25)) % 0.40/0.59 (step @p25 :rule cong :premises (@p24) :args (@t26)) % 0.40/0.59 (step @p26 :rule trans :premises (@p25 @p23)) % 0.40/0.59 (step @p27 :rule refl :args (tptp.setukpairinjR)) % 0.40/0.59 (step @p28 :rule cong :premises (@p27 @p26) :args (@t27)) % 0.40/0.59 (step @p29 :rule eq_resolve :premises (@p3 @p28)) % 0.40/0.59 (step @p30 :rule cong :premises (@p29 @p8) :args (@t80)) % 0.40/0.59 (step @p31 :rule refl :args (@t17)) % 0.40/0.59 (step @p32 :rule nary_cong :premises (@p21 @p31) :args (@t81)) % 0.40/0.59 (step @p33 :rule cong :premises (@p32) :args ((forall @t22 @t81))) % 0.40/0.59 (step @p34 :rule bool-impl-elim :args (@t21 @t17)) % 0.40/0.59 (step @p35 :rule cong :premises (@p34) :args (@t23)) % 0.40/0.59 (step @p36 :rule trans :premises (@p35 @p33)) % 0.40/0.59 (step @p37 :rule refl :args (tptp.setukpairinjL)) % 0.40/0.59 (step @p38 :rule cong :premises (@p37 @p36) :args (@t24)) % 0.40/0.59 (step @p39 :rule eq_resolve :premises (@p2 @p38)) % 0.40/0.59 (step @p40 :rule cong :premises (@p39 @p30) :args (@t82)) % 0.40/0.59 (step @p41 :rule refl :args (@t83)) % 0.40/0.59 (step @p42 :rule lambda-elim :args ((= @t85 @t2))) % 0.40/0.59 (step @p43 :rule refl :args (@t8)) % 0.40/0.59 (step @p44 :rule cong :premises (@p43 @p42) :args (@t86)) % 0.40/0.59 (step @p45 :rule refl :args (@t1)) % 0.40/0.59 (step @p46 :rule cong :premises (@p45 @p44) :args (@t87)) % 0.40/0.59 (step @p47 :rule cong :premises (@p46) :args (@t88)) % 0.40/0.59 (step @p48 :rule nary_cong :premises (@p47 @p41) :args (@t89)) % 0.40/0.59 (step @p49 :rule cong :premises (@p48) :args ((forall @t13 @t89))) % 0.40/0.59 (step @p50 :rule refl :args (@t83)) % 0.40/0.59 (step @p51 :rule refl :args (@t3)) % 0.40/0.59 (step @p52 :rule cong :premises (@p51 @p50) :args ((= @t3 @t83))) % 0.40/0.59 (step @p53 :rule symm :premises (@p52)) % 0.40/0.59 (step @p54 :rule eq_resolve :premises (@p51 @p53)) % 0.40/0.59 (step @p55 :rule refl :args ((tptp.in @t1 @t10))) % 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@p302 :rule cong :premises (@p301) :args (@t171)) % 0.40/0.59 (step @p303 :rule refl :args (@t166)) % 0.40/0.59 (step @p304 :rule cong :premises (@p303 @p302) :args ((=> @t166 @t171))) % 0.40/0.59 (assume-push @p420 @t166) % 0.40/0.59 (step @p306 :rule skolemize :premises (@p285)) % 0.40/0.59 (step-pop @p421 :rule scope :premises (@p306)) % 0.40/0.59 (step @p307 :rule process_scope :premises (@p421) :args (@t171)) % 0.40/0.59 (step @p309 :rule eq_resolve :premises (@p307 @p304)) % 0.40/0.59 (step @p310 :rule implies_elim :premises (@p309)) % 0.40/0.59 (step @p311 :rule eq_resolve :premises (@p310 @p288)) % 0.40/0.59 (step @p312 :rule chain_m_resolution :premises (@p311 @p285) :args (@t165 @t172 (@list @t76))) % 0.40/0.59 (step @p313 :rule cnf_or_neg :args (@t164 1)) % 0.40/0.59 (step @p314 :rule chain_m_resolution :premises (@p313 @p312) :args ((not @t151) @t172 @t173)) % 0.40/0.59 (step @p315 :rule false_intro :premises (@p314)) % 0.40/0.59 (step @p316 :rule not_implies_elim1 :premises (@p284)) % 0.40/0.59 (step @p317 :rule instantiate :premises (@p316) :args (@t177)) % 0.40/0.59 (step @p318 :rule eq-symm :args (@t178 @t157)) % 0.40/0.59 (step @p319 :rule beta-reduce :args ((= @t179 @t157))) % 0.40/0.59 (step @p320 :rule refl :args (@t178)) % 0.40/0.59 (step @p321 :rule cong :premises (@p320 @p319) :args (@t180)) % 0.40/0.59 (step @p322 :rule trans :premises (@p321 @p318)) % 0.40/0.59 (step @p323 :rule cong :premises (@p322) :args (@t181)) % 0.40/0.59 (step @p324 :rule quant-unused-vars :args ((= (forall @t49 true) true))) % 0.40/0.59 (step @p325 :rule eq-refl :args (@t179)) % 0.40/0.59 (step @p326 :rule cong :premises (@p325) :args ((forall @t49 (= @t179 @t179)))) % 0.40/0.59 (step @p327 :rule trans :premises (@p326 @p324)) % 0.40/0.59 (step @p328 :rule refl :args (@t179)) % 0.40/0.59 (step @p329 :rule refl :args (@t18)) % 0.40/0.59 (step @p330 :rule ho_cong :premises (@p291 @p329)) % 0.40/0.59 (step @p331 :rule cong :premises (@p330 @p328) :args (@t180)) % 0.40/0.59 (step @p332 :rule cong :premises (@p331) :args (@t181)) % 0.40/0.59 (step @p333 :rule trans :premises (@p332 @p327)) % 0.40/0.59 (step @p334 :rule true_elim :premises (@p333)) % 0.40/0.59 (step @p335 :rule eq_resolve :premises (@p334 @p323)) % 0.40/0.59 (step @p336 :rule eq-symm :args (@t161 @t58)) % 0.40/0.59 (step @p337 :rule cong :premises (@p336) :args (@t182)) % 0.40/0.59 (step @p338 :rule refl :args (@t152)) % 0.40/0.59 (step @p339 :rule refl :args (@t154)) % 0.40/0.59 (step @p340 :rule refl :args (@t156)) % 0.40/0.59 (step @p341 :rule nary_cong :premises (@p340 @p339 @p338 @p337) :args (@t183)) % 0.40/0.59 (step @p342 :rule cong :premises (@p341) :args (@t184)) % 0.40/0.59 (step @p343 :rule cong :premises (@p342) :args (@t185)) % 0.40/0.59 (step @p344 :rule refl :args (@t186)) % 0.40/0.59 (step @p345 :rule cong :premises (@p344 @p343) :args ((= @t186 @t185))) % 0.40/0.59 (step @p346 :rule eq-symm :args (@t185 @t186)) % 0.40/0.59 (step @p347 :rule trans :premises (@p346 @p345)) % 0.40/0.59 (step @p348 :rule refl :args (@t187)) % 0.40/0.59 (step @p349 :rule cong :premises (@p348 @p347) :args ((=> @t187 @t188))) % 0.40/0.59 (assume-push @p422 @t187) % 0.40/0.59 (step @p351 :rule instantiate :premises (@p335) :args ((@list @t161))) % 0.40/0.59 (step-pop @p423 :rule scope :premises (@p351)) % 0.40/0.59 (step @p352 :rule process_scope :premises (@p423) :args (@t188)) % 0.40/0.59 (step @p354 :rule eq_resolve :premises (@p352 @p349)) % 0.40/0.59 (step @p355 :rule implies_elim :premises (@p354)) % 0.40/0.59 (step @p356 :rule chain_m_resolution :premises (@p355 @p335) :args (@t190 (@list false) (@list @t187))) % 0.40/0.59 (step @p357 :rule not_implies_elim1 :premises (@p282)) % 0.40/0.59 (step @p358 :rule instantiate :premises (@p357) :args ((@list @t160 @t159 @t161))) % 0.40/0.59 (step @p359 :rule bool-double-not-elim :args (@t162)) % 0.40/0.59 (step @p360 :rule refl :args (@t164)) % 0.40/0.59 (step @p361 :rule nary_cong :premises (@p360 @p359) :args ((or @t164 (not @t163)))) % 0.40/0.59 (step @p362 :rule cnf_or_neg :args (@t164 0)) % 0.40/0.59 (step @p363 :rule eq_resolve :premises (@p362 @p361)) % 0.40/0.59 (step @p364 :rule reordering :premises (@p363) :args ((or @t162 @t164))) % 0.40/0.59 (step @p365 :rule chain_m_resolution :premises (@p364 @p312) :args (@t162 @t172 @t173)) % 0.40/0.59 (step @p366 :rule cnf_or_pos :args (@t191)) % 0.40/0.59 (step @p367 :rule reordering :premises (@p366) :args ((or @t163 @t186 (not @t191)))) % 0.40/0.59 (step @p368 :rule chain_m_resolution :premises (@p367 @p365 @p358) :args (@t186 @t192 (@list @t162 @t191))) % 0.40/0.59 (step @p369 :rule cnf_equiv_pos1 :args (@t190)) % 0.40/0.59 (step @p370 :rule reordering :premises (@p369) :args ((or (not @t186) @t189 (not @t190)))) % 0.40/0.59 (step @p371 :rule chain_m_resolution :premises (@p370 @p368 @p356) :args (@t189 @t192 (@list @t186 @t190))) % 0.40/0.59 (step @p372 :rule refl :args (@t201)) % 0.40/0.59 (step @p373 :rule bool-double-not-elim :args (@t174)) % 0.40/0.59 (step @p374 :rule nary_cong :premises (@p373 @p372) :args ((or (not @t189) @t201))) % 0.40/0.59 (step @p375 :rule eq-symm :args (@t193 @t161)) % 0.40/0.59 (step @p376 :rule cong :premises (@p375) :args (@t202)) % 0.40/0.59 (step @p377 :rule refl :args (@t197)) % 0.40/0.59 (step @p378 :rule refl :args (@t198)) % 0.40/0.59 (step @p379 :rule refl :args (@t199)) % 0.40/0.59 (step @p380 :rule nary_cong :premises (@p379 @p378 @p377 @p376) :args (@t203)) % 0.40/0.59 (step @p381 :rule cong :premises (@p380) :args (@t204)) % 0.40/0.59 (step @p382 :rule refl :args (@t189)) % 0.40/0.59 (step @p383 :rule cong :premises (@p382 @p381) :args ((=> @t189 @t204))) % 0.40/0.59 (assume-push @p424 @t189) % 0.40/0.59 (step @p385 :rule skolemize :premises (@p371)) % 0.40/0.59 (step-pop @p425 :rule scope :premises (@p385)) % 0.40/0.59 (step @p386 :rule process_scope :premises (@p425) :args (@t204)) % 0.40/0.59 (step @p388 :rule eq_resolve :premises (@p386 @p383)) % 0.40/0.59 (step @p389 :rule implies_elim :premises (@p388)) % 0.40/0.59 (step @p390 :rule eq_resolve :premises (@p389 @p374)) % 0.40/0.59 (step @p391 :rule chain_m_resolution :premises (@p390 @p371) :args (@t201 @t172 (@list @t174))) % 0.40/0.59 (step @p392 :rule bool-double-not-elim :args (@t194)) % 0.40/0.59 (step @p393 :rule refl :args (@t200)) % 0.40/0.59 (step @p394 :rule nary_cong :premises (@p393 @p392) :args ((or @t200 (not @t195)))) % 0.40/0.59 (step @p395 :rule cnf_or_neg :args (@t200 3)) % 0.40/0.59 (step @p396 :rule eq_resolve :premises (@p395 @p394)) % 0.40/0.59 (step @p397 :rule reordering :premises (@p396) :args ((or @t194 @t200))) % 0.40/0.59 (step @p398 :rule chain_m_resolution :premises (@p397 @p391) :args (@t194 @t172 @t205)) % 0.40/0.59 (step @p399 :rule cnf_or_pos :args (@t207)) % 0.40/0.59 (step @p400 :rule reordering :premises (@p399) :args ((or @t195 @t206 (not @t207)))) % 0.40/0.59 (step @p401 :rule chain_m_resolution :premises (@p400 @p398 @p317) :args (@t206 @t192 (@list @t194 @t207))) % 0.40/0.59 (step @p402 :rule symm :premises (@p401)) % 0.40/0.59 (step @p403 :rule not_implies_elim1 :premises (@p283)) % 0.40/0.59 (step @p404 :rule instantiate :premises (@p403) :args (@t177)) % 0.40/0.59 (step @p405 :rule cnf_or_pos :args (@t209)) % 0.40/0.59 (step @p406 :rule reordering :premises (@p405) :args ((or @t195 @t208 (not @t209)))) % 0.40/0.59 (step @p407 :rule chain_m_resolution :premises (@p406 @p398 @p404) :args (@t208 @t192 (@list @t194 @t209))) % 0.40/0.59 (step @p408 :rule symm :premises (@p407)) % 0.40/0.59 (step @p409 :rule cong :premises (@p408 @p402) :args (@t196)) % 0.40/0.59 (step @p410 :rule bool-double-not-elim :args (@t196)) % 0.40/0.59 (step @p411 :rule nary_cong :premises (@p393 @p410) :args ((or @t200 (not @t197)))) % 0.40/0.59 (step @p412 :rule cnf_or_neg :args (@t200 2)) % 0.40/0.59 (step @p413 :rule eq_resolve :premises (@p412 @p411)) % 0.40/0.59 (step @p414 :rule reordering :premises (@p413) :args ((or @t196 @t200))) % 0.40/0.59 (step @p415 :rule chain_m_resolution :premises (@p414 @p391) :args (@t196 @t172 @t205)) % 0.40/0.59 (step @p416 :rule true_intro :premises (@p415)) % 0.40/0.59 (step @p417 :rule symm :premises (@p416)) % 0.40/0.59 (step @p418 :rule trans :premises (@p417 @p409 @p315)) % 0.40/0.59 (step @p419 false :rule eq_resolve :premises (@p418 @p7)) % 0.40/0.59 ) % 0.40/0.59 % SZS output end Proof % 0.40/0.59 % cvc5 exiting %------------------------------------------------------------------------------