%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV208^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n002.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 08:55:36 AM UTC 2026 % Result : Theorem 151.29s 151.70s % Output : Proof 151.29s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV208^5 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n002.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 18:18:48 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.49 %----Proving TH0 % 151.29/151.70 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 151.29/151.70 --- 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... % 151.29/151.70 --- 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... % 151.29/151.70 --- Run --ho-elim --full-saturate-quant at 18s... % 151.29/151.70 % SZS status Theorem % 151.29/151.70 % SZS output start Proof % 151.29/151.70 ( % 151.29/151.70 (declare-sort tptp.a 0) % 151.29/151.70 (declare-const tptp.c0 tptp.a) % 151.29/151.70 (declare-const tptp.x tptp.a) % 151.29/151.70 (declare-const tptp.w tptp.a) % 151.29/151.70 (declare-const tptp.cP (-> tptp.a tptp.a tptp.a)) % 151.29/151.70 (declare-const tptp.y tptp.a) % 151.29/151.70 (declare-const tptp.z tptp.a) % 151.29/151.70 (define @t1 () (_ (_ tptp.cP tptp.y) tptp.z)) % 151.29/151.70 (define @t2 () (_ (_ tptp.cP tptp.x) tptp.w)) % 151.29/151.70 (define @t3 () (@var "R" (-> tptp.a tptp.a tptp.a Bool))) % 151.29/151.70 (define @t4 () (_ (_ (_ @t3 @t2) @t1) @t1)) % 151.29/151.70 (define @t5 () (@var "Xc" tptp.a)) % 151.29/151.70 (define @t6 () (@var "Xb" tptp.a)) % 151.29/151.70 (define @t7 () (@var "Xa" tptp.a)) % 151.29/151.70 (define @t8 () (_ (_ (_ @t3 @t7) @t6) @t5)) % 151.29/151.70 (define @t9 () (@var "Xz2" tptp.a)) % 151.29/151.70 (define @t10 () (@var "Xy2" tptp.a)) % 151.29/151.70 (define @t11 () (@var "Xx2" tptp.a)) % 151.29/151.70 (define @t12 () (_ (_ (_ @t3 @t11) @t10) @t9)) % 151.29/151.70 (define @t13 () (@var "Xz1" tptp.a)) % 151.29/151.70 (define @t14 () (@var "Xy1" tptp.a)) % 151.29/151.70 (define @t15 () (@var "Xx1" tptp.a)) % 151.29/151.70 (define @t16 () (_ (_ (_ @t3 @t15) @t14) @t13)) % 151.29/151.70 (define @t17 () (_ (_ tptp.cP @t13) @t9)) % 151.29/151.70 (define @t18 () (= @t5 @t17)) % 151.29/151.70 (define @t19 () (_ (_ tptp.cP @t14) @t10)) % 151.29/151.70 (define @t20 () (= @t6 @t19)) % 151.29/151.70 (define @t21 () (_ (_ tptp.cP @t15) @t11)) % 151.29/151.70 (define @t22 () (= @t7 @t21)) % 151.29/151.70 (define @t23 () (and @t22 @t20 @t18 @t16 @t12)) % 151.29/151.70 (define @t24 () (@list @t15 @t11 @t14 @t10 @t13 @t9)) % 151.29/151.70 (define @t25 () (exists @t24 @t23)) % 151.29/151.70 (define @t26 () (= @t7 @t5)) % 151.29/151.70 (define @t27 () (and (= @t6 tptp.c0) @t26)) % 151.29/151.70 (define @t28 () (= @t6 @t5)) % 151.29/151.70 (define @t29 () (and (= @t7 tptp.c0) @t28)) % 151.29/151.70 (define @t30 () (or @t29 @t27 @t25)) % 151.29/151.70 (define @t31 () (=> @t30 @t8)) % 151.29/151.70 (define @t32 () (@list @t7 @t6 @t5)) % 151.29/151.70 (define @t33 () (forall @t32 @t31)) % 151.29/151.70 (define @t34 () (and true @t33)) % 151.29/151.70 (define @t35 () (=> @t34 @t4)) % 151.29/151.70 (define @t36 () (@list @t3)) % 151.29/151.70 (define @t37 () (forall @t36 @t35)) % 151.29/151.70 (define @t38 () (_ (_ (_ @t3 tptp.w) tptp.z) tptp.z)) % 151.29/151.70 (define @t39 () (=> @t34 @t38)) % 151.29/151.70 (define @t40 () (forall @t36 @t39)) % 151.29/151.70 (define @t41 () (_ (_ (_ @t3 tptp.x) tptp.y) tptp.y)) % 151.29/151.70 (define @t42 () (=> @t34 @t41)) % 151.29/151.70 (define @t43 () (forall @t36 @t42)) % 151.29/151.70 (define @t44 () (and @t43 @t40)) % 151.29/151.70 (define @t45 () (=> @t44 @t37)) % 151.29/151.70 (define @t46 () (not @t45)) % 151.29/151.70 (define @t47 () (@const 0 (@ho-elim-sort (-> tptp.a tptp.a tptp.a)))) % 151.29/151.70 (define @t48 () (@const 1 (-> (@ho-elim-sort (-> tptp.a tptp.a tptp.a)) tptp.a (@ho-elim-sort (-> tptp.a tptp.a))))) % 151.29/151.70 (define @t49 () (@const 2 (-> (@ho-elim-sort (-> tptp.a tptp.a)) tptp.a tptp.a))) % 151.29/151.70 (define @t50 () (_ @t49 (_ @t48 @t47 tptp.y) tptp.z)) % 151.29/151.70 (define @t51 () (_ @t49 (_ @t48 @t47 tptp.x) tptp.w)) % 151.29/151.70 (define @t52 () (@var "BOUND_VARIABLE_7609" (@ho-elim-sort (-> tptp.a tptp.a tptp.a Bool)))) % 151.29/151.70 (define @t53 () (@const 3 (-> (@ho-elim-sort (-> tptp.a tptp.a tptp.a Bool)) tptp.a (@ho-elim-sort (-> tptp.a tptp.a Bool))))) % 151.29/151.70 (define @t54 () (@const 4 (-> (@ho-elim-sort (-> tptp.a tptp.a Bool)) tptp.a (@ho-elim-sort (-> tptp.a Bool))))) % 151.29/151.70 (define @t55 () (@const 5 (-> (@ho-elim-sort (-> tptp.a Bool)) tptp.a Bool))) % 151.29/151.70 (define @t56 () (@var "BOUND_VARIABLE_7542" tptp.a)) % 151.29/151.70 (define @t57 () (@var "BOUND_VARIABLE_7538" tptp.a)) % 151.29/151.70 (define @t58 () (@var "BOUND_VARIABLE_7534" tptp.a)) % 151.29/151.70 (define @t59 () (@var "BOUND_VARIABLE_7540" tptp.a)) % 151.29/151.70 (define @t60 () (@var "BOUND_VARIABLE_7536" tptp.a)) % 151.29/151.70 (define @t61 () (@var "BOUND_VARIABLE_7532" tptp.a)) % 151.29/151.70 (define @t62 () (not (= @t5 (_ @t49 (_ @t48 @t47 @t59) @t56)))) % 151.29/151.70 (define @t63 () (not (= @t6 (_ @t49 (_ @t48 @t47 @t60) @t57)))) % 151.29/151.70 (define @t64 () (not (= @t7 (_ @t49 (_ @t48 @t47 @t61) @t58)))) % 151.29/151.70 (define @t65 () (= tptp.c0 @t6)) % 151.29/151.70 (define @t66 () (or (not @t65) (not @t26))) % 151.29/151.70 (define @t67 () (= tptp.c0 @t7)) % 151.29/151.70 (define @t68 () (or (not @t67) (not @t28))) % 151.29/151.70 (define @t69 () (@list @t7 @t6 @t5 @t61 @t58 @t60 @t57 @t59 @t56)) % 151.29/151.70 (define @t70 () (not (forall @t69 (or (and @t68 @t66 (or @t64 @t63 @t62 (not (_ @t55 (_ @t54 (_ @t53 @t52 @t61) @t60) @t59)) (not (_ @t55 (_ @t54 (_ @t53 @t52 @t58) @t57) @t56)))) (_ @t55 (_ @t54 (_ @t53 @t52 @t7) @t6) @t5))))) % 151.29/151.70 (define @t71 () (@list @t52)) % 151.29/151.70 (define @t72 () (forall @t71 (or @t70 (_ @t55 (_ @t54 (_ @t53 @t52 @t51) @t50) @t50)))) % 151.29/151.70 (define @t73 () (forall @t71 (or @t70 (_ @t55 (_ @t54 (_ @t53 @t52 tptp.w) tptp.z) tptp.z)))) % 151.29/151.70 (define @t74 () (tptp.cP tptp.y tptp.z)) % 151.29/151.70 (define @t75 () (tptp.cP tptp.x tptp.w)) % 151.29/151.70 (define @t76 () (_ @t3 @t75 @t74 @t74)) % 151.29/151.70 (define @t77 () (_ @t3 @t7 @t6 @t5)) % 151.29/151.70 (define @t78 () (or (not (= @t7 (tptp.cP @t61 @t58))) (not (= @t6 (tptp.cP @t60 @t57))) (not (= @t5 (tptp.cP @t59 @t56))) (not (_ @t3 @t61 @t60 @t59)) (not (_ @t3 @t58 @t57 @t56)))) % 151.29/151.70 (define @t79 () (and @t68 @t66 @t78)) % 151.29/151.70 (define @t80 () (or @t79 @t77)) % 151.29/151.70 (define @t81 () (forall @t69 @t80)) % 151.29/151.70 (define @t82 () (not @t81)) % 151.29/151.70 (define @t83 () (_ @t3 tptp.w tptp.z tptp.z)) % 151.29/151.70 (define @t84 () (_ @t3 tptp.x tptp.y tptp.y)) % 151.29/151.70 (define @t85 () (or @t82 @t4)) % 151.29/151.70 (define @t86 () (@list @t61 @t58 @t60 @t57 @t59 @t56)) % 151.29/151.70 (define @t87 () (forall @t86 @t80)) % 151.29/151.70 (define @t88 () (forall @t86 @t78)) % 151.29/151.70 (define @t89 () (forall @t86 @t66)) % 151.29/151.70 (define @t90 () (forall @t86 @t68)) % 151.29/151.70 (define @t91 () (and @t90 @t89 @t88)) % 151.29/151.70 (define @t92 () (forall @t86 @t79)) % 151.29/151.70 (define @t93 () (or @t92 @t77)) % 151.29/151.70 (define @t94 () (_ @t3 @t11 @t10 @t9)) % 151.29/151.70 (define @t95 () (_ @t3 @t15 @t14 @t13)) % 151.29/151.70 (define @t96 () (tptp.cP @t13 @t9)) % 151.29/151.70 (define @t97 () (tptp.cP @t14 @t10)) % 151.29/151.70 (define @t98 () (tptp.cP @t15 @t11)) % 151.29/151.70 (define @t99 () (forall @t24 (or (not (= @t7 @t98)) (not (= @t6 @t97)) (not (= @t5 @t96)) (not @t95) (not @t94)))) % 151.29/151.70 (define @t100 () (and @t68 @t66 @t99)) % 151.29/151.70 (define @t101 () (or @t100 @t8)) % 151.29/151.70 (define @t102 () (and @t65 @t26)) % 151.29/151.70 (define @t103 () (not @t102)) % 151.29/151.70 (define @t104 () (and @t67 @t28)) % 151.29/151.70 (define @t105 () (not @t104)) % 151.29/151.70 (define @t106 () (not @t99)) % 151.29/151.70 (define @t107 () (not @t106)) % 151.29/151.70 (define @t108 () (and @t105 @t103 @t107)) % 151.29/151.70 (define @t109 () (or @t104 @t102 @t106)) % 151.29/151.70 (define @t110 () (not @t12)) % 151.29/151.70 (define @t111 () (not @t16)) % 151.29/151.70 (define @t112 () (not @t18)) % 151.29/151.70 (define @t113 () (not @t20)) % 151.29/151.70 (define @t114 () (not @t22)) % 151.29/151.70 (define @t115 () (or @t114 @t113 @t112 @t111 @t110)) % 151.29/151.70 (define @t116 () (forall @t24 (not @t23))) % 151.29/151.70 (define @t117 () (not @t116)) % 151.29/151.70 (define @t118 () (or @t82 @t38)) % 151.29/151.70 (define @t119 () (or @t82 @t41)) % 151.29/151.70 (define @t120 () (@quantifiers_skolemize @t72 0)) % 151.29/151.70 (define @t121 () (forall @t69 (or (and @t68 @t66 (or @t64 @t63 @t62 (not (_ @t55 (_ @t54 (_ @t53 @t120 @t61) @t60) @t59)) (not (_ @t55 (_ @t54 (_ @t53 @t120 @t58) @t57) @t56)))) (_ @t55 (_ @t54 (_ @t53 @t120 @t7) @t6) @t5)))) % 151.29/151.70 (define @t122 () (_ @t55 (_ @t54 (_ @t53 @t120 @t51) @t50) @t50)) % 151.29/151.70 (define @t123 () (not @t121)) % 151.29/151.70 (define @t124 () (or @t123 @t122)) % 151.29/151.70 (define @t125 () (@list true)) % 151.29/151.70 (define @t126 () (@list @t124)) % 151.29/151.70 (define @t127 () (_ @t55 (_ @t54 (_ @t53 @t120 tptp.w) tptp.z) tptp.z)) % 151.29/151.70 (define @t128 () (not @t127)) % 151.29/151.70 (define @t129 () (_ @t55 (_ @t54 (_ @t53 @t120 tptp.x) tptp.y) tptp.y)) % 151.29/151.70 (define @t130 () (not @t129)) % 151.29/151.70 (define @t131 () (or @t130 @t128)) % 151.29/151.70 (define @t132 () (not (= @t50 @t50))) % 151.29/151.70 (define @t133 () (not (= @t51 @t51))) % 151.29/151.70 (define @t134 () (or @t133 @t132 @t132 @t130 @t128)) % 151.29/151.70 (define @t135 () (not (= @t51 @t50))) % 151.29/151.70 (define @t136 () (not (= tptp.c0 @t50))) % 151.29/151.70 (define @t137 () (or @t136 @t135)) % 151.29/151.70 (define @t138 () (not (= tptp.c0 @t51))) % 151.29/151.70 (define @t139 () (or @t138 @t132)) % 151.29/151.70 (define @t140 () (and @t139 @t137 @t134)) % 151.29/151.70 (define @t141 () (or @t140 @t122)) % 151.29/151.70 (define @t142 () (and @t138 (or @t136 (not (= @t50 @t51))) @t131)) % 151.29/151.70 (define @t143 () (or @t142 @t122)) % 151.29/151.70 (define @t144 () (@list false)) % 151.29/151.70 (define @t145 () (@list true false)) % 151.29/151.70 (define @t146 () (@list @t120)) % 151.29/151.70 (define @t147 () (or @t123 @t129)) % 151.29/151.70 (define @t148 () (@list false false)) % 151.29/151.70 (define @t149 () (or @t123 @t127)) % 151.29/151.70 (define @t150 () (not @t149)) % 151.29/151.70 (assume @p1 @t46) % 151.29/151.70 (assume @p2 true) % 151.29/151.70 ; WARNING: add trust step for TRUST % 151.29/151.70 ; trust TRUST PREPROCESS_HO_ELIM % 151.29/151.70 (step @p3 :rule trust :premises () :args ((= (not (=> (and (forall @t36 (or @t82 @t84)) (forall @t36 (or @t82 @t83))) (forall @t36 (or @t82 @t76)))) (not (=> (and (forall @t71 (or @t70 (_ @t55 (_ @t54 (_ @t53 @t52 tptp.x) tptp.y) tptp.y))) @t73) @t72))))) % 151.29/151.70 (step @p4 :rule refl :args ((_ @t3 @t2 @t1 @t1))) % 151.29/151.70 (step @p5 :rule refl :args (@t74)) % 151.29/151.70 (step @p6 :rule refl :args (@t75)) % 151.29/151.70 (step @p7 :rule cong :premises (@p6 @p5 @p5) :args (@t76)) % 151.29/151.70 (step @p8 :rule trans :premises (@p7 @p4)) % 151.29/151.70 (step @p9 :rule refl :args (@t3)) % 151.29/151.70 (step @p10 :rule ho_cong :premises (@p9 @p6)) % 151.29/151.70 (step @p11 :rule ho_cong :premises (@p10 @p5)) % 151.29/151.70 (step @p12 :rule ho_cong :premises (@p11 @p5)) % 151.29/151.70 (step @p13 :rule cong :premises (@p12 @p8) :args ((= (_ (_ (_ @t3 @t75) @t74) @t74) @t76))) % 151.29/151.70 (step @p14 :rule symm :premises (@p13)) % 151.29/151.70 (step @p15 :rule refl :args (@t4)) % 151.29/151.70 (step @p16 :rule eq_resolve :premises (@p15 @p14)) % 151.29/151.70 (step @p17 :rule refl :args (@t1)) % 151.29/151.70 (step @p18 :rule cong :premises (@p17 @p5) :args ((= @t1 @t74))) % 151.29/151.70 (step @p19 :rule symm :premises (@p18)) % 151.29/151.70 (step @p20 :rule eq_resolve :premises (@p17 @p19)) % 151.29/151.70 (step @p21 :rule refl :args (@t2)) % 151.29/151.70 (step @p22 :rule cong :premises (@p21 @p6) :args ((= @t2 @t75))) % 151.29/151.70 (step @p23 :rule symm :premises (@p22)) % 151.29/151.70 (step @p24 :rule eq_resolve :premises (@p21 @p23)) % 151.29/151.70 (step @p25 :rule ho_cong :premises (@p9 @p24)) % 151.29/151.70 (step @p26 :rule ho_cong :premises (@p25 @p20)) % 151.29/151.70 (step @p27 :rule ho_cong :premises (@p26 @p20)) % 151.29/151.70 (step @p28 :rule trans :premises (@p27 @p16)) % 151.29/151.70 (step @p29 :rule refl :args (@t82)) % 151.29/151.70 (step @p30 :rule nary_cong :premises (@p29 @p28) :args (@t85)) % 151.29/151.70 (step @p31 :rule cong :premises (@p30) :args ((forall @t36 @t85))) % 151.29/151.70 (step @p32 :rule bool-impl-elim :args (@t81 @t4)) % 151.29/151.70 (step @p33 :rule cong :premises (@p32) :args ((forall @t36 (=> @t81 @t4)))) % 151.29/151.70 (step @p34 :rule trans :premises (@p33 @p31)) % 151.29/151.70 (step @p35 :rule refl :args (@t4)) % 151.29/151.70 (step @p36 :rule quant-merge-prenex :args ((= (forall @t32 @t87) @t81))) % 151.29/151.70 (step @p37 :rule refl :args (@t77)) % 151.29/151.70 (step @p38 :rule alpha_equiv :args (@t88 (@list @t61 @t58 @t60 @t57 @t59 @t56) (@list @t15 @t11 @t14 @t10 @t13 @t9))) % 151.29/151.70 (step @p39 :rule quant-unused-vars :args ((= @t89 @t66))) % 151.29/151.70 (step @p40 :rule quant-unused-vars :args ((= @t90 @t68))) % 151.29/151.70 (step @p41 :rule nary_cong :premises (@p40 @p39 @p38) :args (@t91)) % 151.29/151.70 (step @p42 :rule quant-miniscope-and :args ((= @t92 @t91))) % 151.29/151.70 (step @p43 :rule trans :premises (@p42 @p41)) % 151.29/151.70 (step @p44 :rule nary_cong :premises (@p43 @p37) :args (@t93)) % 151.29/151.70 (step @p45 :rule quant-miniscope-or :args ((= @t87 @t93))) % 151.29/151.70 (step @p46 :rule trans :premises (@p45 @p44)) % 151.29/151.70 (step @p47 :rule symm :premises (@p46)) % 151.29/151.70 (step @p48 :rule cong :premises (@p47) :args ((forall @t32 (or @t100 @t77)))) % 151.29/151.70 (step @p49 :rule trans :premises (@p48 @p36)) % 151.29/151.70 (step @p50 :rule refl :args (@t77)) % 151.29/151.70 (step @p51 :rule refl :args (@t8)) % 151.29/151.70 (step @p52 :rule cong :premises (@p51 @p50) :args ((= @t8 @t77))) % 151.29/151.70 (step @p53 :rule symm :premises (@p52)) % 151.29/151.70 (step @p54 :rule eq_resolve :premises (@p51 @p53)) % 151.29/151.70 (step @p55 :rule refl :args (@t100)) % 151.29/151.70 (step @p56 :rule nary_cong :premises (@p55 @p54) :args (@t101)) % 151.29/151.70 (step @p57 :rule cong :premises (@p56) :args ((forall @t32 @t101))) % 151.29/151.70 (step @p58 :rule trans :premises (@p57 @p49)) % 151.29/151.70 (step @p59 :rule refl :args (@t99)) % 151.29/151.70 (step @p60 :rule bool-and-de-morgan :args (@t65 @t26 true)) % 151.29/151.70 (step @p61 :rule bool-and-de-morgan :args (@t67 @t28 true)) % 151.29/151.70 (step @p62 :rule nary_cong :premises (@p61 @p60 @p59) :args ((and @t105 @t103 @t99))) % 151.29/151.70 (step @p63 :rule bool-double-not-elim :args (@t99)) % 151.29/151.70 (step @p64 :rule refl :args (@t103)) % 151.29/151.70 (step @p65 :rule refl :args (@t105)) % 151.29/151.70 (step @p66 :rule nary_cong :premises (@p65 @p64 @p63) :args (@t108)) % 151.29/151.70 (step @p67 :rule aci_norm :args ((= (and @t105 (and @t103 @t107)) @t108))) % 151.29/151.70 (step @p68 :rule trans :premises (@p67 @p66)) % 151.29/151.70 (step @p69 :rule bool-or-de-morgan :args (@t102 @t106 false)) % 151.29/151.70 (step @p70 :rule nary_cong :premises (@p65 @p69) :args ((and @t105 (not (or @t102 @t106))))) % 151.29/151.70 (step @p71 :rule bool-or-de-morgan :args (@t104 @t102 (or @t106))) % 151.29/151.70 (step @p72 :rule trans :premises (@p71 @p70)) % 151.29/151.70 (step @p73 :rule trans :premises (@p72 @p68)) % 151.29/151.70 (step @p74 :rule trans :premises (@p73 @p62)) % 151.29/151.70 (step @p75 :rule nary_cong :premises (@p74 @p51) :args ((or (not @t109) @t8))) % 151.29/151.70 (step @p76 :rule bool-impl-elim :args (@t109 @t8)) % 151.29/151.70 (step @p77 :rule trans :premises (@p76 @p75)) % 151.29/151.70 (step @p78 :rule cong :premises (@p77) :args ((forall @t32 (=> @t109 @t8)))) % 151.29/151.70 (step @p79 :rule trans :premises (@p78 @p58)) % 151.29/151.70 (step @p80 :rule refl :args (@t8)) % 151.29/151.70 (step @p81 :rule refl :args (@t94)) % 151.29/151.70 (step @p82 :rule refl :args (@t12)) % 151.29/151.70 (step @p83 :rule cong :premises (@p82 @p81) :args ((= @t12 @t94))) % 151.29/151.70 (step @p84 :rule symm :premises (@p83)) % 151.29/151.70 (step @p85 :rule eq_resolve :premises (@p82 @p84)) % 151.29/151.70 (step @p86 :rule cong :premises (@p85) :args (@t110)) % 151.29/151.70 (step @p87 :rule refl :args (@t95)) % 151.29/151.70 (step @p88 :rule refl :args (@t16)) % 151.29/151.70 (step @p89 :rule cong :premises (@p88 @p87) :args ((= @t16 @t95))) % 151.29/151.70 (step @p90 :rule symm :premises (@p89)) % 151.29/151.70 (step @p91 :rule eq_resolve :premises (@p88 @p90)) % 151.29/151.70 (step @p92 :rule cong :premises (@p91) :args (@t111)) % 151.29/151.70 (step @p93 :rule refl :args (@t96)) % 151.29/151.70 (step @p94 :rule refl :args (@t17)) % 151.29/151.70 (step @p95 :rule cong :premises (@p94 @p93) :args ((= @t17 @t96))) % 151.29/151.70 (step @p96 :rule symm :premises (@p95)) % 151.29/151.70 (step @p97 :rule eq_resolve :premises (@p94 @p96)) % 151.29/151.70 (step @p98 :rule refl :args (@t5)) % 151.29/151.70 (step @p99 :rule cong :premises (@p98 @p97) :args (@t18)) % 151.29/151.70 (step @p100 :rule cong :premises (@p99) :args (@t112)) % 151.29/151.70 (step @p101 :rule refl :args (@t97)) % 151.29/151.70 (step @p102 :rule refl :args (@t19)) % 151.29/151.70 (step @p103 :rule cong :premises (@p102 @p101) :args ((= @t19 @t97))) % 151.29/151.70 (step @p104 :rule symm :premises (@p103)) % 151.29/151.70 (step @p105 :rule eq_resolve :premises (@p102 @p104)) % 151.29/151.70 (step @p106 :rule refl :args (@t6)) % 151.29/151.70 (step @p107 :rule cong :premises (@p106 @p105) :args (@t20)) % 151.29/151.70 (step @p108 :rule cong :premises (@p107) :args (@t113)) % 151.29/151.70 (step @p109 :rule refl :args (@t98)) % 151.29/151.70 (step @p110 :rule refl :args (@t21)) % 151.29/151.70 (step @p111 :rule cong :premises (@p110 @p109) :args ((= @t21 @t98))) % 151.29/151.70 (step @p112 :rule symm :premises (@p111)) % 151.29/151.70 (step @p113 :rule eq_resolve :premises (@p110 @p112)) % 151.29/151.70 (step @p114 :rule refl :args (@t7)) % 151.29/151.70 (step @p115 :rule cong :premises (@p114 @p113) :args (@t22)) % 151.29/151.70 (step @p116 :rule cong :premises (@p115) :args (@t114)) % 151.29/151.70 (step @p117 :rule nary_cong :premises (@p116 @p108 @p100 @p92 @p86) :args (@t115)) % 151.29/151.70 (step @p118 :rule cong :premises (@p117) :args ((forall @t24 @t115))) % 151.29/151.70 (step @p119 :rule aci_norm :args ((= (or @t114 (or @t113 (or @t112 (or @t111 @t110)))) @t115))) % 151.29/151.70 (step @p120 :rule bool-and-de-morgan :args (@t16 @t12 true)) % 151.29/151.70 (step @p121 :rule refl :args (@t112)) % 151.29/151.70 (step @p122 :rule nary_cong :premises (@p121 @p120) :args ((or @t112 (not (and @t16 @t12))))) % 151.29/151.70 (step @p123 :rule bool-and-de-morgan :args (@t18 @t16 (and @t12))) % 151.29/151.70 (step @p124 :rule trans :premises (@p123 @p122)) % 151.29/151.70 (step @p125 :rule refl :args (@t113)) % 151.29/151.70 (step @p126 :rule nary_cong :premises (@p125 @p124) :args ((or @t113 (not (and @t18 @t16 @t12))))) % 151.29/151.70 (step @p127 :rule bool-and-de-morgan :args (@t20 @t18 (and @t16 @t12))) % 151.29/151.70 (step @p128 :rule trans :premises (@p127 @p126)) % 151.29/151.70 (step @p129 :rule refl :args (@t114)) % 151.29/151.70 (step @p130 :rule nary_cong :premises (@p129 @p128) :args ((or @t114 (not (and @t20 @t18 @t16 @t12))))) % 151.29/151.70 (step @p131 :rule bool-and-de-morgan :args (@t22 @t20 (and @t18 @t16 @t12))) % 151.29/151.70 (step @p132 :rule trans :premises (@p131 @p130)) % 151.29/151.70 (step @p133 :rule trans :premises (@p132 @p119)) % 151.29/151.70 (step @p134 :rule cong :premises (@p133) :args (@t116)) % 151.29/151.70 (step @p135 :rule trans :premises (@p134 @p118)) % 151.29/151.70 (step @p136 :rule cong :premises (@p135) :args (@t117)) % 151.29/151.70 (step @p137 :rule exists-elim :args ((= @t25 @t117))) % 151.29/151.70 (step @p138 :rule trans :premises (@p137 @p136)) % 151.29/151.70 (step @p139 :rule refl :args (@t26)) % 151.29/151.70 (step @p140 :rule eq-symm :args (@t6 tptp.c0)) % 151.29/151.70 (step @p141 :rule nary_cong :premises (@p140 @p139) :args (@t27)) % 151.29/151.70 (step @p142 :rule refl :args (@t28)) % 151.29/151.70 (step @p143 :rule eq-symm :args (@t7 tptp.c0)) % 151.29/151.70 (step @p144 :rule nary_cong :premises (@p143 @p142) :args (@t29)) % 151.29/151.70 (step @p145 :rule nary_cong :premises (@p144 @p141 @p138) :args (@t30)) % 151.29/151.70 (step @p146 :rule cong :premises (@p145 @p80) :args (@t31)) % 151.29/151.70 (step @p147 :rule cong :premises (@p146) :args (@t33)) % 151.29/151.70 (step @p148 :rule trans :premises (@p147 @p79)) % 151.29/151.70 (step @p149 :rule aci_norm :args ((= @t34 @t33))) % 151.29/151.70 (step @p150 :rule trans :premises (@p149 @p148)) % 151.29/151.70 (step @p151 :rule cong :premises (@p150 @p35) :args (@t35)) % 151.29/151.70 (step @p152 :rule cong :premises (@p151) :args (@t37)) % 151.29/151.70 (step @p153 :rule trans :premises (@p152 @p34)) % 151.29/151.70 (step @p154 :rule refl :args (@t83)) % 151.29/151.70 (step @p155 :rule refl :args (@t38)) % 151.29/151.70 (step @p156 :rule cong :premises (@p155 @p154) :args ((= @t38 @t83))) % 151.29/151.70 (step @p157 :rule symm :premises (@p156)) % 151.29/151.70 (step @p158 :rule eq_resolve :premises (@p155 @p157)) % 151.29/151.70 (step @p159 :rule nary_cong :premises (@p29 @p158) :args (@t118)) % 151.29/151.70 (step @p160 :rule cong :premises (@p159) :args ((forall @t36 @t118))) % 151.29/151.70 (step @p161 :rule bool-impl-elim :args (@t81 @t38)) % 151.29/151.70 (step @p162 :rule cong :premises (@p161) :args ((forall @t36 (=> @t81 @t38)))) % 151.29/151.70 (step @p163 :rule trans :premises (@p162 @p160)) % 151.29/151.70 (step @p164 :rule refl :args (@t38)) % 151.29/151.70 (step @p165 :rule cong :premises (@p150 @p164) :args (@t39)) % 151.29/151.70 (step @p166 :rule cong :premises (@p165) :args (@t40)) % 151.29/151.70 (step @p167 :rule trans :premises (@p166 @p163)) % 151.29/151.70 (step @p168 :rule refl :args (@t84)) % 151.29/151.70 (step @p169 :rule refl :args (@t41)) % 151.29/151.70 (step @p170 :rule cong :premises (@p169 @p168) :args ((= @t41 @t84))) % 151.29/151.70 (step @p171 :rule symm :premises (@p170)) % 151.29/151.70 (step @p172 :rule eq_resolve :premises (@p169 @p171)) % 151.29/151.70 (step @p173 :rule nary_cong :premises (@p29 @p172) :args (@t119)) % 151.29/151.70 (step @p174 :rule cong :premises (@p173) :args ((forall @t36 @t119))) % 151.29/151.70 (step @p175 :rule bool-impl-elim :args (@t81 @t41)) % 151.29/151.70 (step @p176 :rule cong :premises (@p175) :args ((forall @t36 (=> @t81 @t41)))) % 151.29/151.70 (step @p177 :rule trans :premises (@p176 @p174)) % 151.29/151.70 (step @p178 :rule refl :args (@t41)) % 151.29/151.70 (step @p179 :rule cong :premises (@p150 @p178) :args (@t42)) % 151.29/151.70 (step @p180 :rule cong :premises (@p179) :args (@t43)) % 151.29/151.70 (step @p181 :rule trans :premises (@p180 @p177)) % 151.29/151.70 (step @p182 :rule nary_cong :premises (@p181 @p167) :args (@t44)) % 151.29/151.70 (step @p183 :rule cong :premises (@p182 @p153) :args (@t45)) % 151.29/151.70 (step @p184 :rule cong :premises (@p183) :args (@t46)) % 151.29/151.70 (step @p185 :rule trans :premises (@p184 @p3)) % 151.29/151.70 (step @p186 :rule eq_resolve :premises (@p1 @p185)) % 151.29/151.70 (step @p187 :rule not_implies_elim1 :premises (@p186)) % 151.29/151.70 (step @p188 :rule and_elim :premises (@p187) :args (1)) % 151.29/151.70 (step @p189 :rule not_implies_elim2 :premises (@p186)) % 151.29/151.70 (step @p190 :rule skolemize :premises (@p189)) % 151.29/151.70 (step @p191 :rule bool-double-not-elim :args (@t121)) % 151.29/151.70 (step @p192 :rule refl :args (@t124)) % 151.29/151.70 (step @p193 :rule nary_cong :premises (@p192 @p191) :args ((or @t124 (not @t123)))) % 151.29/151.70 (step @p194 :rule cnf_or_neg :args (@t124 0)) % 151.29/151.70 (step @p195 :rule eq_resolve :premises (@p194 @p193)) % 151.29/151.70 (step @p196 :rule reordering :premises (@p195) :args ((or @t121 @t124))) % 151.29/151.70 (step @p197 :rule chain_m_resolution :premises (@p196 @p190) :args (@t121 @t125 @t126)) % 151.29/151.70 (step @p198 :rule refl :args (@t122)) % 151.29/151.70 (step @p199 :rule aci_norm :args ((= (or false false false @t130 @t128) @t131))) % 151.29/151.70 (step @p200 :rule refl :args (@t128)) % 151.29/151.70 (step @p201 :rule refl :args (@t130)) % 151.29/151.70 (step @p202 :rule evaluate :args ((not true))) % 151.29/151.70 (step @p203 :rule eq-refl :args (@t50)) % 151.29/151.70 (step @p204 :rule cong :premises (@p203) :args (@t132)) % 151.29/151.70 (step @p205 :rule trans :premises (@p204 @p202)) % 151.29/151.70 (step @p206 :rule eq-refl :args (@t51)) % 151.29/151.70 (step @p207 :rule cong :premises (@p206) :args (@t133)) % 151.29/151.70 (step @p208 :rule trans :premises (@p207 @p202)) % 151.29/151.70 (step @p209 :rule nary_cong :premises (@p208 @p205 @p205 @p201 @p200) :args (@t134)) % 151.29/151.70 (step @p210 :rule trans :premises (@p209 @p199)) % 151.29/151.70 (step @p211 :rule eq-symm :args (@t51 @t50)) % 151.29/151.70 (step @p212 :rule cong :premises (@p211) :args (@t135)) % 151.29/151.70 (step @p213 :rule refl :args (@t136)) % 151.29/151.70 (step @p214 :rule nary_cong :premises (@p213 @p212) :args (@t137)) % 151.29/151.70 (step @p215 :rule aci_norm :args ((= (or @t138 false) @t138))) % 151.29/151.70 (step @p216 :rule refl :args (@t138)) % 151.29/151.70 (step @p217 :rule nary_cong :premises (@p216 @p205) :args (@t139)) % 151.29/151.70 (step @p218 :rule trans :premises (@p217 @p215)) % 151.29/151.70 (step @p219 :rule nary_cong :premises (@p218 @p214 @p210) :args (@t140)) % 151.29/151.70 (step @p220 :rule nary_cong :premises (@p219 @p198) :args (@t141)) % 151.29/151.70 (step @p221 :rule refl :args (@t121)) % 151.29/151.70 (step @p222 :rule cong :premises (@p221 @p220) :args ((=> @t121 @t141))) % 151.29/151.70 (assume-push @p255 @t121) % 151.29/151.70 (step @p224 :rule instantiate :premises (@p197) :args ((@list @t51 @t50 @t50 tptp.x tptp.w tptp.y tptp.z tptp.y tptp.z))) % 151.29/151.70 (step-pop @p256 :rule scope :premises (@p224)) % 151.29/151.70 (step @p225 :rule process_scope :premises (@p256) :args (@t141)) % 151.29/151.70 (step @p227 :rule eq_resolve :premises (@p225 @p222)) % 151.29/151.70 (step @p228 :rule implies_elim :premises (@p227)) % 151.29/151.70 (step @p229 :rule chain_m_resolution :premises (@p228 @p197) :args (@t143 @t144 (@list @t121))) % 151.29/151.70 (step @p230 :rule cnf_or_neg :args (@t124 1)) % 151.29/151.70 (step @p231 :rule chain_m_resolution :premises (@p230 @p190) :args ((not @t122) @t125 @t126)) % 151.29/151.70 (step @p232 :rule cnf_or_pos :args (@t143)) % 151.29/151.70 (step @p233 :rule reordering :premises (@p232) :args ((or @t122 @t142 (not @t143)))) % 151.29/151.70 (step @p234 :rule chain_m_resolution :premises (@p233 @p231 @p229) :args (@t142 @t145 (@list @t122 @t143))) % 151.29/151.70 (step @p235 :rule cnf_and_pos :args (@t142 2)) % 151.29/151.70 (step @p236 :rule reordering :premises (@p235) :args ((or @t131 (not @t142)))) % 151.29/151.70 (step @p237 :rule chain_m_resolution :premises (@p236 @p234) :args (@t131 @t144 (@list @t142))) % 151.29/151.70 (step @p238 :rule and_elim :premises (@p187) :args (0)) % 151.29/151.70 (step @p239 :rule instantiate :premises (@p238) :args (@t146)) % 151.29/151.70 (step @p240 :rule cnf_or_pos :args (@t147)) % 151.29/151.70 (step @p241 :rule reordering :premises (@p240) :args ((or @t123 @t129 (not @t147)))) % 151.29/151.70 (step @p242 :rule chain_m_resolution :premises (@p241 @p197 @p239) :args (@t129 @t148 (@list @t121 @t147))) % 151.29/151.70 (step @p243 :rule cnf_or_pos :args (@t131)) % 151.29/151.70 (step @p244 :rule reordering :premises (@p243) :args ((or @t130 @t128 (not @t131)))) % 151.29/151.70 (step @p245 :rule chain_m_resolution :premises (@p244 @p242 @p237) :args (@t128 @t148 (@list @t129 @t131))) % 151.29/151.70 (step @p246 :rule cnf_or_pos :args (@t149)) % 151.29/151.70 (step @p247 :rule reordering :premises (@p246) :args ((or @t123 @t127 @t150))) % 151.29/151.70 (step @p248 :rule chain_m_resolution :premises (@p247 @p197 @p245) :args (@t150 (@list false true) (@list @t121 @t127))) % 151.29/151.70 (assume-push @p257 @t73) % 151.29/151.70 (step @p250 :rule instantiate :premises (@p188) :args (@t146)) % 151.29/151.70 (step-pop @p258 :rule scope :premises (@p250)) % 151.29/151.70 (step @p251 :rule process_scope :premises (@p258) :args (@t149)) % 151.29/151.70 (step @p253 :rule implies_elim :premises (@p251)) % 151.29/151.70 (step @p254 false :rule chain_m_resolution :premises (@p253 @p248 @p188) :args (false @t145 (@list @t149 @t73))) % 151.29/151.70 ) % 151.29/151.70 % SZS output end Proof % 151.29/151.70 % cvc5 exiting %------------------------------------------------------------------------------