%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV386^5 : 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 : n019.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 08:55:53 AM UTC 2026 % Result : Theorem 150.64s 150.92s % Output : Proof 150.64s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV386^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n019.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 18:31:34 EDT 2026 % 0.18/0.35 % CPUTime : % 0.33/0.50 %----Proving TH0 % 150.64/150.92 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 150.64/150.92 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 150.64/150.92 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s... % 150.64/150.92 --- Run --ho-elim --full-saturate-quant at 18s... % 150.64/150.92 % SZS status Theorem % 150.64/150.92 % SZS output start Proof % 150.64/150.92 ( % 150.64/150.92 (declare-sort tptp.a 0) % 150.64/150.92 (declare-const tptp.p (-> tptp.a Bool)) % 150.64/150.92 (define @t1 () (@var "Xz" tptp.a)) % 150.64/150.92 (define @t2 () (@var "Xy" tptp.a)) % 150.64/150.92 (define @t3 () (= @t2 @t1)) % 150.64/150.92 (define @t4 () (_ tptp.p @t1)) % 150.64/150.92 (define @t5 () (@list @t1)) % 150.64/150.92 (define @t6 () (forall @t5 (=> @t4 @t3))) % 150.64/150.92 (define @t7 () (_ tptp.p @t2)) % 150.64/150.92 (define @t8 () (and @t7 @t6)) % 150.64/150.92 (define @t9 () (@list @t2)) % 150.64/150.92 (define @t10 () (exists @t9 @t8)) % 150.64/150.92 (define @t11 () (@var "Xx" tptp.a)) % 150.64/150.92 (define @t12 () (@list @t11 @t2)) % 150.64/150.92 (define @t13 () (lambda @t12 (= @t11 @t2))) % 150.64/150.92 (define @t14 () (= tptp.p (_ @t13 @t2))) % 150.64/150.92 (define @t15 () (exists @t9 @t14)) % 150.64/150.92 (define @t16 () (= @t15 @t10)) % 150.64/150.92 (define @t17 () (not @t16)) % 150.64/150.92 (define @t18 () (@var "BOUND_VARIABLE_7500" tptp.a)) % 150.64/150.92 (define @t19 () (@var "BOUND_VARIABLE_7499" tptp.a)) % 150.64/150.92 (define @t20 () (@const 0 (@ho-elim-sort (-> tptp.a tptp.a Bool)))) % 150.64/150.92 (define @t21 () (@const 1 (-> (@ho-elim-sort (-> tptp.a tptp.a Bool)) tptp.a (@ho-elim-sort (-> tptp.a Bool))))) % 150.64/150.92 (define @t22 () (@const 2 (-> (@ho-elim-sort (-> tptp.a Bool)) tptp.a Bool))) % 150.64/150.92 (define @t23 () (= @t19 @t18)) % 150.64/150.92 (define @t24 () (@list @t19 @t18)) % 150.64/150.92 (define @t25 () (forall @t24 (= @t23 (_ @t22 (_ @t21 @t20 @t19) @t18)))) % 150.64/150.92 (define @t26 () (@const 3 (-> tptp.a tptp.a Bool))) % 150.64/150.92 (define @t27 () (forall @t24 (= @t23 (_ @t26 @t19 @t18)))) % 150.64/150.92 (define @t28 () (@const 4 (@ho-elim-sort (-> tptp.a Bool)))) % 150.64/150.92 (define @t29 () (_ @t21 @t20 @t2)) % 150.64/150.92 (define @t30 () (forall @t9 (not (= @t29 @t28)))) % 150.64/150.92 (define @t31 () (@quantifiers_skolemize @t30 0)) % 150.64/150.92 (define @t32 () (not (_ @t22 @t28 @t1))) % 150.64/150.92 (define @t33 () (forall @t5 (or @t32 (= @t1 @t31)))) % 150.64/150.92 (define @t34 () (@quantifiers_skolemize @t33 0)) % 150.64/150.92 (define @t35 () (forall @t9 (or (not (_ @t22 @t28 @t2)) (not (forall @t5 (or @t32 @t3)))))) % 150.64/150.92 (define @t36 () (@quantifiers_skolemize @t35 0)) % 150.64/150.92 (define @t37 () (not @t30)) % 150.64/150.92 (define @t38 () (not @t37)) % 150.64/150.92 (define @t39 () (not @t35)) % 150.64/150.92 (define @t40 () (not @t39)) % 150.64/150.92 (define @t41 () (not (= @t28 @t29))) % 150.64/150.92 (define @t42 () (forall @t9 @t41)) % 150.64/150.92 (define @t43 () (not @t42)) % 150.64/150.92 (define @t44 () (not (= @t39 @t43))) % 150.64/150.92 (define @t45 () (not (forall @t9 (not (= tptp.p (_ @t26 @t2)))))) % 150.64/150.92 (define @t46 () (tptp.p @t1)) % 150.64/150.92 (define @t47 () (forall @t5 (or (not @t46) @t3))) % 150.64/150.92 (define @t48 () (not @t47)) % 150.64/150.92 (define @t49 () (tptp.p @t2)) % 150.64/150.92 (define @t50 () (not (forall @t9 (or (not @t49) @t48)))) % 150.64/150.92 (define @t51 () (not (= @t45 @t50))) % 150.64/150.92 (define @t52 () (@var "BOUND_VARIABLE_7438" tptp.a)) % 150.64/150.92 (define @t53 () (lambda (@list @t52) (= @t2 @t52))) % 150.64/150.92 (define @t54 () (= tptp.p @t53)) % 150.64/150.92 (define @t55 () (not (forall @t9 (not @t54)))) % 150.64/150.92 (define @t56 () (not @t7)) % 150.64/150.92 (define @t57 () (or @t56 @t48)) % 150.64/150.92 (define @t58 () (and @t7 @t47)) % 150.64/150.92 (define @t59 () (forall @t9 (not @t58))) % 150.64/150.92 (define @t60 () (not @t59)) % 150.64/150.92 (define @t61 () (not @t4)) % 150.64/150.92 (define @t62 () (or @t61 @t3)) % 150.64/150.92 (define @t63 () (@list @t11 @t52)) % 150.64/150.92 (define @t64 () (forall @t5 (or @t32 (= @t1 @t36)))) % 150.64/150.92 (define @t65 () (not @t64)) % 150.64/150.92 (define @t66 () (_ @t22 @t28 @t36)) % 150.64/150.92 (define @t67 () (not @t66)) % 150.64/150.92 (define @t68 () (or @t67 @t65)) % 150.64/150.92 (define @t69 () (not @t68)) % 150.64/150.92 (define @t70 () (or @t32 (= @t36 @t1))) % 150.64/150.92 (define @t71 () (forall @t5 @t70)) % 150.64/150.92 (define @t72 () (not @t71)) % 150.64/150.92 (define @t73 () (or @t67 @t72)) % 150.64/150.92 (define @t74 () (not @t73)) % 150.64/150.92 (define @t75 () (_ @t21 @t20 @t36)) % 150.64/150.92 (define @t76 () (= @t75 @t28)) % 150.64/150.92 (define @t77 () (not @t76)) % 150.64/150.92 (define @t78 () (not @t65)) % 150.64/150.92 (define @t79 () (@var "y" (@ho-elim-sort (-> tptp.a Bool)))) % 150.64/150.92 (define @t80 () (@var "x" (@ho-elim-sort (-> tptp.a Bool)))) % 150.64/150.92 (define @t81 () (@var "z" tptp.a)) % 150.64/150.92 (define @t82 () (@list @t81)) % 150.64/150.92 (define @t83 () (forall (@list @t80 @t79) (or (not (forall @t82 (= (_ @t22 @t80 @t81) (_ @t22 @t79 @t81)))) (= @t80 @t79)))) % 150.64/150.92 (define @t84 () (_ @t22 @t75 @t81)) % 150.64/150.92 (define @t85 () (_ @t22 @t28 @t81)) % 150.64/150.92 (define @t86 () (forall @t82 (= @t84 @t85))) % 150.64/150.92 (define @t87 () (not @t86)) % 150.64/150.92 (define @t88 () (or @t87 @t76)) % 150.64/150.92 (define @t89 () (= @t28 @t75)) % 150.64/150.92 (define @t90 () (forall @t82 (= @t85 @t84))) % 150.64/150.92 (define @t91 () (not @t90)) % 150.64/150.92 (define @t92 () (or @t91 @t89)) % 150.64/150.92 (define @t93 () (@list false)) % 150.64/150.92 (define @t94 () (@quantifiers_skolemize @t90 0)) % 150.64/150.92 (define @t95 () (_ @t22 @t28 @t94)) % 150.64/150.92 (define @t96 () (not @t95)) % 150.64/150.92 (define @t97 () (or @t96 (= @t94 @t36))) % 150.64/150.92 (define @t98 () (_ @t22 @t75 @t94)) % 150.64/150.92 (define @t99 () (= @t95 @t98)) % 150.64/150.92 (define @t100 () (not @t99)) % 150.64/150.92 (define @t101 () (= @t36 @t94)) % 150.64/150.92 (define @t102 () (or @t96 @t101)) % 150.64/150.92 (define @t103 () (not @t102)) % 150.64/150.92 (define @t104 () (_ @t22 @t75 @t36)) % 150.64/150.92 (define @t105 () (= (= @t36 @t36) @t104)) % 150.64/150.92 (define @t106 () (@list @t25)) % 150.64/150.92 (define @t107 () (not @t101)) % 150.64/150.92 (define @t108 () (not @t104)) % 150.64/150.92 (define @t109 () (not @t98)) % 150.64/150.92 (define @t110 () (= false true)) % 150.64/150.92 (define @t111 () (and @t104 @t101 @t109)) % 150.64/150.92 (define @t112 () (= @t101 @t98)) % 150.64/150.92 (define @t113 () (= @t98 @t101)) % 150.64/150.92 (define @t114 () (and @t66 @t101 @t96)) % 150.64/150.92 (define @t115 () (or @t32 (= @t31 @t1))) % 150.64/150.92 (define @t116 () (forall @t5 @t115)) % 150.64/150.92 (define @t117 () (not @t116)) % 150.64/150.92 (define @t118 () (_ @t22 @t28 @t31)) % 150.64/150.92 (define @t119 () (not @t118)) % 150.64/150.92 (define @t120 () (or @t119 @t117)) % 150.64/150.92 (define @t121 () (@list @t31)) % 150.64/150.92 (define @t122 () (not @t33)) % 150.64/150.92 (define @t123 () (or @t119 @t122)) % 150.64/150.92 (define @t124 () (@list @t35)) % 150.64/150.92 (define @t125 () (_ @t21 @t20 @t31)) % 150.64/150.92 (define @t126 () (_ @t22 @t125 @t31)) % 150.64/150.92 (define @t127 () (= (= @t31 @t31) @t126)) % 150.64/150.92 (define @t128 () (= @t28 @t125)) % 150.64/150.92 (define @t129 () (= @t125 @t28)) % 150.64/150.92 (define @t130 () (not (not @t129))) % 150.64/150.92 (define @t131 () (@list true)) % 150.64/150.92 (define @t132 () (and @t128 @t126)) % 150.64/150.92 (define @t133 () (@list false false)) % 150.64/150.92 (define @t134 () (= @t31 @t34)) % 150.64/150.92 (define @t135 () (_ @t22 @t28 @t34)) % 150.64/150.92 (define @t136 () (not @t135)) % 150.64/150.92 (define @t137 () (or @t136 @t134)) % 150.64/150.92 (define @t138 () (not @t137)) % 150.64/150.92 (define @t139 () (or @t136 (= @t34 @t31))) % 150.64/150.92 (define @t140 () (not @t139)) % 150.64/150.92 (define @t141 () (@list @t137)) % 150.64/150.92 (define @t142 () (@quantifiers_skolemize @t64 0)) % 150.64/150.92 (define @t143 () (or @t32 (= @t142 @t1))) % 150.64/150.92 (define @t144 () (forall @t5 @t143)) % 150.64/150.92 (define @t145 () (not @t144)) % 150.64/150.92 (define @t146 () (_ @t22 @t28 @t142)) % 150.64/150.92 (define @t147 () (not @t146)) % 150.64/150.92 (define @t148 () (or @t147 @t145)) % 150.64/150.92 (define @t149 () (forall @t5 (or @t32 (= @t1 @t142)))) % 150.64/150.92 (define @t150 () (not @t149)) % 150.64/150.92 (define @t151 () (or @t147 @t150)) % 150.64/150.92 (define @t152 () (@quantifiers_skolemize @t149 0)) % 150.64/150.92 (define @t153 () (= @t142 @t152)) % 150.64/150.92 (define @t154 () (_ @t22 @t28 @t152)) % 150.64/150.92 (define @t155 () (not @t154)) % 150.64/150.92 (define @t156 () (or @t155 @t153)) % 150.64/150.92 (define @t157 () (not @t156)) % 150.64/150.92 (define @t158 () (or @t155 (= @t152 @t142))) % 150.64/150.92 (define @t159 () (not @t158)) % 150.64/150.92 (define @t160 () (_ @t22 @t125 @t142)) % 150.64/150.92 (define @t161 () (and @t128 @t146)) % 150.64/150.92 (define @t162 () (_ @t22 @t125 @t152)) % 150.64/150.92 (define @t163 () (and @t128 @t154)) % 150.64/150.92 (define @t164 () (= @t31 @t142)) % 150.64/150.92 (define @t165 () (= @t164 @t160)) % 150.64/150.92 (define @t166 () (= @t31 @t152)) % 150.64/150.92 (define @t167 () (= @t166 @t162)) % 150.64/150.92 (define @t168 () (not @t166)) % 150.64/150.92 (define @t169 () (not @t164)) % 150.64/150.92 (define @t170 () (not @t153)) % 150.64/150.92 (define @t171 () (and @t164 @t170)) % 150.64/150.92 (define @t172 () (or @t147 (= @t36 @t142))) % 150.64/150.92 (define @t173 () (not @t172)) % 150.64/150.92 (define @t174 () (or @t147 (= @t142 @t36))) % 150.64/150.92 (define @t175 () (not @t174)) % 150.64/150.92 (define @t176 () (or @t119 (= @t31 @t36))) % 150.64/150.92 (define @t177 () (= @t36 @t31)) % 150.64/150.92 (define @t178 () (or @t119 @t177)) % 150.64/150.92 (define @t179 () (_ @t22 @t75 @t34)) % 150.64/150.92 (define @t180 () (and @t128 @t177 @t135)) % 150.64/150.92 (define @t181 () (not @t134)) % 150.64/150.92 (define @t182 () (= @t36 @t34)) % 150.64/150.92 (define @t183 () (not @t182)) % 150.64/150.92 (define @t184 () (not @t177)) % 150.64/150.92 (define @t185 () (and @t177 @t181)) % 150.64/150.92 (define @t186 () (= @t182 @t179)) % 150.64/150.92 (assume @p1 @t17) % 150.64/150.92 (assume @p2 true) % 150.64/150.92 ; WARNING: add trust step for TRUST % 150.64/150.92 ; trust TRUST PREPROCESS_HO_ELIM % 150.64/150.92 (step @p3 :rule trust :premises () :args ((= @t27 @t25))) % 150.64/150.92 ; trust TRUST PREPROCESS_HO_ELIM_LEMMA % 150.64/150.92 (step @p4 :rule trust :premises () :args (@t27)) % 150.64/150.92 (step @p5 :rule eq_resolve :premises (@p4 @p3)) % 150.64/150.92 (step @p6 :rule instantiate :premises (@p5) :args ((@list @t36 @t34))) % 150.64/150.92 (step @p7 :rule bool-double-not-elim :args (@t30)) % 150.64/150.92 (step @p8 :rule bool-double-not-elim :args (@t35)) % 150.64/150.92 (step @p9 :rule nary_cong :premises (@p8 @p7) :args ((or @t40 @t38))) % 150.64/150.92 (step @p10 :rule eq-symm :args (@t37 @t39)) % 150.64/150.92 (step @p11 :rule refl :args (@t39)) % 150.64/150.92 (step @p12 :rule eq-symm :args (@t28 @t29)) % 150.64/150.92 (step @p13 :rule cong :premises (@p12) :args (@t41)) % 150.64/150.92 (step @p14 :rule cong :premises (@p13) :args (@t42)) % 150.64/150.92 (step @p15 :rule cong :premises (@p14) :args (@t43)) % 150.64/150.92 (step @p16 :rule cong :premises (@p15 @p11) :args ((= @t43 @t39))) % 150.64/150.92 (step @p17 :rule trans :premises (@p16 @p10)) % 150.64/150.92 (step @p18 :rule eq-symm :args (@t39 @t43)) % 150.64/150.92 (step @p19 :rule trans :premises (@p18 @p17)) % 150.64/150.92 (step @p20 :rule cong :premises (@p19) :args (@t44)) % 150.64/150.92 ; trust TRUST PREPROCESS_HO_ELIM % 150.64/150.92 (step @p21 :rule trust :premises () :args ((= (not (= @t50 @t45)) @t44))) % 150.64/150.92 (step @p22 :rule eq-symm :args (@t45 @t50)) % 150.64/150.92 (step @p23 :rule cong :premises (@p22) :args (@t51)) % 150.64/150.92 ; trust TRUST PREPROCESS_HO_ELIM % 150.64/150.92 (step @p24 :rule trust :premises () :args ((= (not (= @t55 @t50)) @t51))) % 150.64/150.92 (step @p25 :rule refl :args (@t48)) % 150.64/150.92 (step @p26 :rule refl :args (@t49)) % 150.64/150.92 (step @p27 :rule refl :args (@t7)) % 150.64/150.92 (step @p28 :rule cong :premises (@p27 @p26) :args ((= @t7 @t49))) % 150.64/150.92 (step @p29 :rule symm :premises (@p28)) % 150.64/150.92 (step @p30 :rule eq_resolve :premises (@p27 @p29)) % 150.64/150.92 (step @p31 :rule cong :premises (@p30) :args (@t56)) % 150.64/150.92 (step @p32 :rule nary_cong :premises (@p31 @p25) :args (@t57)) % 150.64/150.92 (step @p33 :rule cong :premises (@p32) :args ((forall @t9 @t57))) % 150.64/150.92 (step @p34 :rule bool-and-de-morgan :args (@t7 @t47 true)) % 150.64/150.92 (step @p35 :rule cong :premises (@p34) :args (@t59)) % 150.64/150.92 (step @p36 :rule trans :premises (@p35 @p33)) % 150.64/150.92 (step @p37 :rule cong :premises (@p36) :args (@t60)) % 150.64/150.92 (step @p38 :rule exists-elim :args ((= (exists @t9 @t58) @t60))) % 150.64/150.92 (step @p39 :rule trans :premises (@p38 @p37)) % 150.64/150.92 (step @p40 :rule refl :args (@t3)) % 150.64/150.92 (step @p41 :rule refl :args (@t46)) % 150.64/150.92 (step @p42 :rule refl :args (@t4)) % 150.64/150.92 (step @p43 :rule cong :premises (@p42 @p41) :args ((= @t4 @t46))) % 150.64/150.92 (step @p44 :rule symm :premises (@p43)) % 150.64/150.92 (step @p45 :rule eq_resolve :premises (@p42 @p44)) % 150.64/150.92 (step @p46 :rule cong :premises (@p45) :args (@t61)) % 150.64/150.92 (step @p47 :rule nary_cong :premises (@p46 @p40) :args (@t62)) % 150.64/150.92 (step @p48 :rule cong :premises (@p47) :args ((forall @t5 @t62))) % 150.64/150.92 (step @p49 :rule bool-impl-elim :args (@t4 @t3)) % 150.64/150.92 (step @p50 :rule cong :premises (@p49) :args (@t6)) % 150.64/150.92 (step @p51 :rule trans :premises (@p50 @p48)) % 150.64/150.92 (step @p52 :rule refl :args (@t7)) % 150.64/150.92 (step @p53 :rule nary_cong :premises (@p52 @p51) :args (@t8)) % 150.64/150.92 (step @p54 :rule cong :premises (@p53) :args (@t10)) % 150.64/150.92 (step @p55 :rule trans :premises (@p54 @p39)) % 150.64/150.92 (step @p56 :rule exists-elim :args ((= (exists @t9 @t54) @t55))) % 150.64/150.92 (step @p57 :rule beta-reduce :args ((= (_ (lambda @t63 (= @t11 @t52)) @t2) @t53))) % 150.64/150.92 (step @p58 :rule refl :args (@t2)) % 150.64/150.92 (step @p59 :rule eq-symm :args (@t52 @t11)) % 150.64/150.92 (step @p60 :rule cong :premises (@p59) :args ((lambda @t63 (= @t52 @t11)))) % 150.64/150.92 (step @p61 :rule ho_cong :premises (@p60 @p58)) % 150.64/150.92 (step @p62 :rule trans :premises (@p61 @p57)) % 150.64/150.92 (step @p63 :rule refl :args (@t2)) % 150.64/150.92 (step @p64 :rule alpha_equiv :args ((lambda @t12 (= @t2 @t11)) (@list @t2) (@list @t52))) % 150.64/150.92 (step @p65 :rule ho_cong :premises (@p64 @p63)) % 150.64/150.92 (step @p66 :rule trans :premises (@p65 @p62)) % 150.64/150.92 (step @p67 :rule eq-symm :args (@t11 @t2)) % 150.64/150.92 (step @p68 :rule cong :premises (@p67) :args (@t13)) % 150.64/150.92 (step @p69 :rule ho_cong :premises (@p68 @p58)) % 150.64/150.92 (step @p70 :rule trans :premises (@p69 @p66)) % 150.64/150.92 (step @p71 :rule refl :args (tptp.p)) % 150.64/150.92 (step @p72 :rule cong :premises (@p71 @p70) :args (@t14)) % 150.64/150.92 (step @p73 :rule cong :premises (@p72) :args (@t15)) % 150.64/150.92 (step @p74 :rule trans :premises (@p73 @p56)) % 150.64/150.92 (step @p75 :rule cong :premises (@p74 @p55) :args (@t16)) % 150.64/150.92 (step @p76 :rule cong :premises (@p75) :args (@t17)) % 150.64/150.92 (step @p77 :rule trans :premises (@p76 @p24 @p23 @p21 @p20)) % 150.64/150.92 (step @p78 :rule eq_resolve :premises (@p1 @p77)) % 150.64/150.92 (step @p79 :rule not_equiv_elim2 :premises (@p78)) % 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reordering :premises (@p320) :args ((or @t119 @t122 (not @t123)))) % 150.64/150.93 (step @p322 :rule chain_m_resolution :premises (@p321 @p319 @p265) :args (@t122 @t133 (@list @t118 @t123))) % 150.64/150.93 (step @p323 :rule refl :args (@t138)) % 150.64/150.93 (step @p324 :rule bool-double-not-elim :args (@t33)) % 150.64/150.93 (step @p325 :rule nary_cong :premises (@p324 @p323) :args ((or (not @t122) @t138))) % 150.64/150.93 (step @p326 :rule eq-symm :args (@t34 @t31)) % 150.64/150.93 (step @p327 :rule refl :args (@t136)) % 150.64/150.93 (step @p328 :rule nary_cong :premises (@p327 @p326) :args (@t139)) % 150.64/150.93 (step @p329 :rule cong :premises (@p328) :args (@t140)) % 150.64/150.93 (step @p330 :rule refl :args (@t122)) % 150.64/150.93 (step @p331 :rule cong :premises (@p330 @p329) :args ((=> @t122 @t140))) % 150.64/150.93 (assume-push @p605 @t122) % 150.64/150.93 (step @p333 :rule skolemize :premises (@p605)) % 150.64/150.93 (step-pop @p606 :rule scope :premises (@p333)) % 150.64/150.93 (step @p334 :rule process_scope :premises (@p606) :args (@t140)) % 150.64/150.93 (step @p336 :rule eq_resolve :premises (@p334 @p331)) % 150.64/150.93 (step @p337 :rule implies_elim :premises (@p336)) % 150.64/150.93 (step @p338 :rule eq_resolve :premises (@p337 @p325)) % 150.64/150.93 (step @p339 :rule chain_m_resolution :premises (@p338 @p322) :args (@t138 @t131 (@list @t33))) % 150.64/150.93 (step @p340 :rule bool-double-not-elim :args (@t135)) % 150.64/150.93 (step @p341 :rule refl :args (@t137)) % 150.64/150.93 (step @p342 :rule nary_cong :premises (@p341 @p340) :args ((or @t137 (not @t136)))) % 150.64/150.93 (step @p343 :rule cnf_or_neg :args (@t137 0)) % 150.64/150.93 (step @p344 :rule eq_resolve :premises (@p343 @p342)) % 150.64/150.93 (step @p345 :rule reordering :premises (@p344) :args ((or @t135 @t137))) % 150.64/150.93 (step @p346 :rule chain_m_resolution :premises (@p345 @p339) :args (@t135 @t131 @t141)) % 150.64/150.93 (step @p347 :rule eq-symm :args (@t142 @t1)) % 150.64/150.93 (step @p348 :rule nary_cong :premises (@p84 @p347) :args (@t143)) % 150.64/150.93 (step @p349 :rule cong :premises (@p348) :args (@t144)) % 150.64/150.93 (step @p350 :rule cong :premises (@p349) :args (@t145)) % 150.64/150.93 (step @p351 :rule refl :args (@t147)) % 150.64/150.93 (step @p352 :rule nary_cong :premises (@p351 @p350) :args (@t148)) % 150.64/150.93 (step @p353 :rule cong :premises (@p257 @p352) :args ((=> @t35 @t148))) % 150.64/150.93 (assume-push @p607 @t35) % 150.64/150.93 (step @p355 :rule instantiate :premises (@p607) :args ((@list @t142))) % 150.64/150.93 (step-pop @p608 :rule scope :premises (@p355)) % 150.64/150.93 (step @p356 :rule process_scope :premises (@p608) :args (@t148)) % 150.64/150.93 (step @p358 :rule eq_resolve :premises (@p356 @p353)) % 150.64/150.93 (step @p359 :rule implies_elim :premises (@p358)) % 150.64/150.93 (step @p360 :rule chain_m_resolution :premises (@p359 @p250) :args (@t151 @t93 @t124)) % 150.64/150.93 (step @p361 :rule cnf_or_pos :args (@t151)) % 150.64/150.93 (step @p362 :rule reordering :premises (@p361) :args ((or @t147 @t150 (not @t151)))) % 150.64/150.93 (step @p363 :rule refl :args (@t157)) % 150.64/150.93 (step @p364 :rule bool-double-not-elim :args (@t149)) % 150.64/150.93 (step @p365 :rule nary_cong :premises (@p364 @p363) :args ((or (not @t150) @t157))) % 150.64/150.93 (step @p366 :rule eq-symm :args (@t152 @t142)) % 150.64/150.93 (step @p367 :rule refl :args (@t155)) % 150.64/150.93 (step @p368 :rule nary_cong :premises (@p367 @p366) :args (@t158)) % 150.64/150.93 (step @p369 :rule cong :premises (@p368) :args (@t159)) % 150.64/150.93 (step @p370 :rule refl :args (@t150)) % 150.64/150.93 (step @p371 :rule cong :premises (@p370 @p369) :args ((=> @t150 @t159))) % 150.64/150.93 (assume-push @p609 @t150) % 150.64/150.93 (step @p373 :rule skolemize :premises (@p609)) % 150.64/150.93 (step-pop @p610 :rule scope :premises (@p373)) % 150.64/150.93 (step @p374 :rule process_scope :premises (@p610) :args (@t159)) % 150.64/150.93 (step @p376 :rule eq_resolve :premises (@p374 @p371)) % 150.64/150.93 (step @p377 :rule implies_elim :premises (@p376)) % 150.64/150.93 (step @p378 :rule eq_resolve :premises (@p377 @p365)) % 150.64/150.93 (step @p379 :rule bool-double-not-elim :args (@t154)) % 150.64/150.93 (step @p380 :rule refl :args (@t156)) % 150.64/150.93 (step @p381 :rule nary_cong :premises (@p380 @p379) :args ((or @t156 (not @t155)))) % 150.64/150.93 (step @p382 :rule cnf_or_neg :args (@t156 0)) % 150.64/150.93 (step @p383 :rule eq_resolve :premises (@p382 @p381)) % 150.64/150.93 (step @p384 :rule reordering :premises (@p383) :args ((or @t154 @t156))) % 150.64/150.93 (step @p385 :rule cnf_or_neg :args (@t156 1)) % 150.64/150.93 (assume-push @p611 @t128) % 150.64/150.93 (assume-push @p612 @t146) % 150.64/150.93 (assume-push @p613 @t146) % 150.64/150.93 (assume-push @p614 @t128) % 150.64/150.93 (step @p390 :rule true_intro :premises (@p612)) % 150.64/150.93 (step @p391 :rule refl :args (@t142)) % 150.64/150.93 (step @p392 :rule symm :premises (@p611)) % 150.64/150.93 (step @p393 :rule cong :premises (@p392 @p391) :args (@t160)) % 150.64/150.93 (step @p394 :rule trans :premises (@p393 @p390)) % 150.64/150.93 (step @p395 :rule true_elim :premises (@p394)) % 150.64/150.93 (step-pop @p615 :rule scope :premises (@p395)) % 150.64/150.93 (step-pop @p616 :rule scope :premises (@p615)) % 150.64/150.93 (step @p396 :rule process_scope :premises (@p616) :args (@t160)) % 150.64/150.93 (step @p399 :rule and_intro :premises (@p612 @p611)) % 150.64/150.93 (step @p400 :rule modus_ponens :premises (@p399 @p396)) % 150.64/150.93 (step-pop @p617 :rule scope :premises (@p400)) % 150.64/150.93 (step-pop @p618 :rule scope :premises (@p617)) % 150.64/150.93 (step @p401 :rule process_scope :premises (@p618) :args (@t160)) % 150.64/150.93 (step @p404 :rule implies_elim :premises (@p401)) % 150.64/150.93 (step @p405 :rule cnf_and_neg :args (@t161)) % 150.64/150.93 (step @p406 :rule resolution :premises (@p405 @p404) :args (true @t161)) % 150.64/150.93 (assume-push @p619 @t128) % 150.64/150.93 (assume-push @p620 @t154) % 150.64/150.93 (assume-push @p621 @t154) % 150.64/150.93 (assume-push @p622 @t128) % 150.64/150.93 (step @p411 :rule true_intro :premises (@p620)) % 150.64/150.93 (step @p412 :rule refl :args (@t152)) % 150.64/150.93 (step @p413 :rule symm :premises (@p619)) % 150.64/150.93 (step @p414 :rule cong :premises (@p413 @p412) :args (@t162)) % 150.64/150.93 (step @p415 :rule trans :premises (@p414 @p411)) % 150.64/150.93 (step @p416 :rule true_elim :premises (@p415)) % 150.64/150.93 (step-pop @p623 :rule scope :premises (@p416)) % 150.64/150.93 (step-pop @p624 :rule scope :premises (@p623)) % 150.64/150.93 (step @p417 :rule process_scope :premises (@p624) :args (@t162)) % 150.64/150.93 (step @p420 :rule and_intro :premises (@p620 @p619)) % 150.64/150.93 (step @p421 :rule modus_ponens :premises (@p420 @p417)) % 150.64/150.93 (step-pop @p625 :rule scope :premises (@p421)) % 150.64/150.93 (step-pop @p626 :rule scope :premises (@p625)) % 150.64/150.93 (step @p422 :rule process_scope :premises (@p626) :args (@t162)) % 150.64/150.93 (step @p425 :rule implies_elim :premises (@p422)) % 150.64/150.93 (step @p426 :rule cnf_and_neg :args (@t163)) % 150.64/150.93 (step @p427 :rule resolution :premises (@p426 @p425) :args (true @t163)) % 150.64/150.93 (step @p428 :rule instantiate :premises (@p5) :args ((@list @t31 @t142))) % 150.64/150.93 (step @p429 :rule cnf_equiv_pos2 :args (@t165)) % 150.64/150.93 (step @p430 :rule reordering :premises (@p429) :args ((or @t164 (not @t160) (not @t165)))) % 150.64/150.93 (step @p431 :rule instantiate :premises (@p5) :args ((@list @t31 @t152))) % 150.64/150.93 (step @p432 :rule cnf_equiv_pos2 :args (@t167)) % 150.64/150.93 (step @p433 :rule reordering :premises (@p432) :args ((or @t166 (not @t162) (not @t167)))) % 150.64/150.93 (step @p434 :rule refl :args (@t168)) % 150.64/150.93 (step @p435 :rule bool-double-not-elim :args (@t153)) % 150.64/150.93 (step @p436 :rule refl :args (@t169)) % 150.64/150.93 (step @p437 :rule nary_cong :premises (@p436 @p435 @p434) :args ((or @t169 (not @t170) @t168))) % 150.64/150.93 (assume-push @p627 @t164) % 150.64/150.93 (assume-push @p628 @t170) % 150.64/150.93 (assume-push @p629 @t170) % 150.64/150.93 (assume-push @p630 @t164) % 150.64/150.93 (step @p442 :rule false_intro :premises (@p628)) % 150.64/150.93 (step @p412 :rule refl :args (@t152)) % 150.64/150.93 (step @p443 :rule cong :premises (@p627 @p412) :args (@t166)) % 150.64/150.93 (step @p444 :rule trans :premises (@p443 @p442)) % 150.64/150.93 (step @p445 :rule false_elim :premises (@p444)) % 150.64/150.93 (step-pop @p631 :rule scope :premises (@p445)) % 150.64/150.93 (step-pop @p632 :rule scope :premises (@p631)) % 150.64/150.93 (step @p446 :rule process_scope :premises (@p632) :args (@t168)) % 150.64/150.93 (step @p449 :rule and_intro :premises (@p628 @p627)) % 150.64/150.93 (step @p450 :rule modus_ponens :premises (@p449 @p446)) % 150.64/150.93 (step-pop @p633 :rule scope :premises (@p450)) % 150.64/150.93 (step-pop @p634 :rule scope :premises (@p633)) % 150.64/150.93 (step @p451 :rule process_scope :premises (@p634) :args (@t168)) % 150.64/150.93 (step @p454 :rule implies_elim :premises (@p451)) % 150.64/150.93 (step @p455 :rule cnf_and_neg :args (@t171)) % 150.64/150.93 (step @p456 :rule resolution :premises (@p455 @p454) :args (true @t171)) % 150.64/150.93 (step @p457 :rule eq_resolve :premises (@p456 @p437)) % 150.64/150.93 (step @p458 :rule chain_m_resolution :premises (@p457 @p433 @p431 @p430 @p428 @p427 @p297 @p406 @p297 @p385 @p384 @p378 @p362 @p360) :args (@t147 (@list false false false false false false false false true false true true false) (@list @t166 @t167 @t164 @t165 @t162 @t128 @t160 @t128 @t153 @t154 @t156 @t149 @t151))) % 150.64/150.93 (step @p459 :rule bool-double-not-elim :args (@t146)) % 150.64/150.93 (step @p460 :rule refl :args (@t172)) % 150.64/150.93 (step @p461 :rule nary_cong :premises (@p460 @p459) :args ((or @t172 (not @t147)))) % 150.64/150.93 (step @p462 :rule cnf_or_neg :args (@t172 0)) % 150.64/150.93 (step @p463 :rule eq_resolve :premises (@p462 @p461)) % 150.64/150.93 (step @p464 :rule reordering :premises (@p463) :args ((or @t146 @t172))) % 150.64/150.93 (step @p465 :rule chain_m_resolution :premises (@p464 @p458) :args (@t172 @t131 (@list @t146))) % 150.64/150.93 (step @p466 :rule refl :args (@t173)) % 150.64/150.93 (step @p467 :rule nary_cong :premises (@p115 @p466) :args ((or @t78 @t173))) % 150.64/150.93 (step @p468 :rule eq-symm :args (@t142 @t36)) % 150.64/150.93 (step @p469 :rule nary_cong :premises (@p351 @p468) :args (@t174)) % 150.64/150.93 (step @p470 :rule cong :premises (@p469) :args (@t175)) % 150.64/150.93 (step @p471 :rule refl :args (@t65)) % 150.64/150.93 (step @p472 :rule cong :premises (@p471 @p470) :args ((=> @t65 @t175))) % 150.64/150.93 (assume-push @p635 @t65) % 150.64/150.93 (step @p474 :rule skolemize :premises (@p635)) % 150.64/150.93 (step-pop @p636 :rule scope :premises (@p474)) % 150.64/150.93 (step @p475 :rule process_scope :premises (@p636) :args (@t175)) % 150.64/150.93 (step @p477 :rule eq_resolve :premises (@p475 @p472)) % 150.64/150.93 (step @p478 :rule implies_elim :premises (@p477)) % 150.64/150.93 (step @p479 :rule eq_resolve :premises (@p478 @p467)) % 150.64/150.93 (step @p480 :rule chain_m_resolution :premises (@p479 @p465) :args (@t64 @t93 (@list @t172))) % 150.64/150.93 (step @p481 :rule eq-symm :args (@t31 @t36)) % 150.64/150.93 (step @p482 :rule nary_cong :premises (@p255 @p481) :args (@t176)) % 150.64/150.93 (step @p483 :rule cong :premises (@p139 @p482) :args ((=> @t64 @t176))) % 150.64/150.93 (assume-push @p637 @t64) % 150.64/150.93 (step @p485 :rule instantiate :premises (@p637) :args (@t121)) % 150.64/150.93 (step-pop @p638 :rule scope :premises (@p485)) % 150.64/150.93 (step @p486 :rule process_scope :premises (@p638) :args (@t176)) % 150.64/150.93 (step @p488 :rule eq_resolve :premises (@p486 @p483)) % 150.64/150.93 (step @p489 :rule implies_elim :premises (@p488)) % 150.64/150.93 (step @p490 :rule chain_m_resolution :premises (@p489 @p480) :args (@t178 @t93 (@list @t64))) % 150.64/150.93 (step @p491 :rule cnf_or_pos :args (@t178)) % 150.64/150.93 (step @p492 :rule reordering :premises (@p491) :args ((or @t177 @t119 (not @t178)))) % 150.64/150.93 (step @p493 :rule chain_m_resolution :premises (@p492 @p319 @p490) :args (@t177 @t133 (@list @t118 @t178))) % 150.64/150.93 (assume-push @p639 @t128) % 150.64/150.93 (assume-push @p640 @t177) % 150.64/150.93 (assume-push @p641 @t135) % 150.64/150.93 (assume-push @p642 @t135) % 150.64/150.93 (assume-push @p643 @t128) % 150.64/150.93 (assume-push @p644 @t177) % 150.64/150.93 (step @p500 :rule true_intro :premises (@p641)) % 150.64/150.93 (step @p501 :rule refl :args (@t34)) % 150.64/150.93 (step @p502 :rule symm :premises (@p639)) % 150.64/150.93 (step @p503 :rule refl :args (@t20)) % 150.64/150.93 (step @p504 :rule cong :premises (@p503 @p640) :args (@t75)) % 150.64/150.93 (step @p505 :rule trans :premises (@p504 @p502)) % 150.64/150.93 (step @p506 :rule cong :premises (@p505 @p501) :args (@t179)) % 150.64/150.93 (step @p507 :rule trans :premises (@p506 @p500)) % 150.64/150.93 (step @p508 :rule true_elim :premises (@p507)) % 150.64/150.93 (step-pop @p645 :rule scope :premises (@p508)) % 150.64/150.93 (step-pop @p646 :rule scope :premises (@p645)) % 150.64/150.93 (step-pop @p647 :rule scope :premises (@p646)) % 150.64/150.93 (step @p509 :rule process_scope :premises (@p647) :args (@t179)) % 150.64/150.93 (step @p513 :rule and_intro :premises (@p641 @p639 @p640)) % 150.64/150.93 (step @p514 :rule modus_ponens :premises (@p513 @p509)) % 150.64/150.93 (step-pop @p648 :rule scope :premises (@p514)) % 150.64/150.93 (step-pop @p649 :rule scope :premises (@p648)) % 150.64/150.93 (step-pop @p650 :rule scope :premises (@p649)) % 150.64/150.93 (step @p515 :rule process_scope :premises (@p650) :args (@t179)) % 150.64/150.93 (step @p519 :rule implies_elim :premises (@p515)) % 150.64/150.93 (step @p520 :rule cnf_and_neg :args (@t180)) % 150.64/150.93 (step @p521 :rule resolution :premises (@p520 @p519) :args (true @t180)) % 150.64/150.93 (step @p522 :rule chain_m_resolution :premises (@p521 @p297 @p493 @p346) :args (@t179 (@list false false false) (@list @t128 @t177 @t135))) % 150.64/150.93 (step @p523 :rule cnf_or_neg :args (@t137 1)) % 150.64/150.93 (step @p524 :rule chain_m_resolution :premises (@p523 @p339) :args (@t181 @t131 @t141)) % 150.64/150.93 (step @p525 :rule refl :args (@t183)) % 150.64/150.93 (step @p526 :rule bool-double-not-elim :args (@t134)) % 150.64/150.93 (step @p527 :rule refl :args (@t184)) % 150.64/150.93 (step @p528 :rule nary_cong :premises (@p527 @p526 @p525) :args ((or @t184 (not @t181) @t183))) % 150.64/150.93 (assume-push @p651 @t177) % 150.64/150.93 (assume-push @p652 @t181) % 150.64/150.93 (assume-push @p653 @t177) % 150.64/150.93 (assume-push @p654 @t181) % 150.64/150.93 (step @p533 :rule false_intro :premises (@p652)) % 150.64/150.93 (step @p501 :rule refl :args (@t34)) % 150.64/150.93 (step @p534 :rule cong :premises (@p651 @p501) :args (@t182)) % 150.64/150.93 (step @p535 :rule trans :premises (@p534 @p533)) % 150.64/150.93 (step @p536 :rule false_elim :premises (@p535)) % 150.64/150.93 (step-pop @p655 :rule scope :premises (@p536)) % 150.64/150.93 (step-pop @p656 :rule scope :premises (@p655)) % 150.64/150.93 (step @p537 :rule process_scope :premises (@p656) :args (@t183)) % 150.64/150.93 (step @p540 :rule and_intro :premises (@p651 @p652)) % 150.64/150.93 (step @p541 :rule modus_ponens :premises (@p540 @p537)) % 150.64/150.93 (step-pop @p657 :rule scope :premises (@p541)) % 150.64/150.93 (step-pop @p658 :rule scope :premises (@p657)) % 150.64/150.93 (step @p542 :rule process_scope :premises (@p658) :args (@t183)) % 150.64/150.93 (step @p545 :rule implies_elim :premises (@p542)) % 150.64/150.93 (step @p546 :rule cnf_and_neg :args (@t185)) % 150.64/150.93 (step @p547 :rule resolution :premises (@p546 @p545) :args (true @t185)) % 150.64/150.93 (step @p548 :rule eq_resolve :premises (@p547 @p528)) % 150.64/150.93 (step @p549 :rule chain_m_resolution :premises (@p548 @p493 @p524) :args (@t183 (@list false true) (@list @t177 @t134))) % 150.64/150.93 (step @p550 :rule cnf_equiv_pos2 :args (@t186)) % 150.64/150.93 (step @p551 :rule reordering :premises (@p550) :args ((or @t182 (not @t179) (not @t186)))) % 150.64/150.93 (step @p552 false :rule chain_m_resolution :premises (@p551 @p549 @p522 @p6) :args (false (@list true false false) (@list @t182 @t179 @t186))) % 150.64/150.93 ) % 150.64/150.93 % SZS output end Proof % 150.64/150.93 % cvc5 exiting %------------------------------------------------------------------------------