%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : HAL003+3 : TPTP v9.2.1. Released v2.6.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 08:22:48 AM UTC 2026 % Result : Theorem 0.45s 0.68s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : HAL003+3 : TPTP v9.2.1. Released v2.6.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 02:13:25 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.45/0.68 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.68 % SZS status Theorem % 0.45/0.68 % SZS output start Proof % 0.45/0.68 ( % 0.45/0.68 (declare-sort $$unsorted 0) % 0.45/0.68 (declare-const tptp.gammma $$unsorted) % 0.45/0.68 (declare-const tptp.h $$unsorted) % 0.45/0.68 (declare-const tptp.g $$unsorted) % 0.45/0.68 (declare-const tptp.f $$unsorted) % 0.45/0.68 (declare-const tptp.r $$unsorted) % 0.45/0.68 (declare-const tptp.beta $$unsorted) % 0.45/0.68 (declare-const tptp.zero (-> $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.delta $$unsorted) % 0.45/0.68 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.e $$unsorted) % 0.45/0.68 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.45/0.68 (declare-const tptp.gamma $$unsorted) % 0.45/0.68 (declare-const tptp.morphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.68 (declare-const tptp.injection (-> $$unsorted Bool)) % 0.45/0.68 (declare-const tptp.alpha $$unsorted) % 0.45/0.68 (declare-const tptp.surjection (-> $$unsorted Bool)) % 0.45/0.68 (declare-const tptp.exact (-> $$unsorted $$unsorted Bool)) % 0.45/0.68 (declare-const tptp.a $$unsorted) % 0.45/0.68 (declare-const tptp.d $$unsorted) % 0.45/0.68 (declare-const tptp.commute (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.68 (declare-const tptp.b $$unsorted) % 0.45/0.68 (declare-const tptp.subtract (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.c $$unsorted) % 0.45/0.68 (define @t1 () (@var "Cod" $$unsorted)) % 0.45/0.68 (define @t2 () (tptp.zero @t1)) % 0.45/0.68 (define @t3 () (@var "Dom" $$unsorted)) % 0.45/0.68 (define @t4 () (tptp.zero @t3)) % 0.45/0.68 (define @t5 () (@var "Morphism" $$unsorted)) % 0.45/0.68 (define @t6 () (@var "El" $$unsorted)) % 0.45/0.68 (define @t7 () (tptp.element @t6 @t3)) % 0.45/0.68 (define @t8 () (tptp.morphism @t5 @t3 @t1)) % 0.45/0.68 (define @t9 () (@list @t5 @t3 @t1)) % 0.45/0.68 (define @t10 () (@var "El2" $$unsorted)) % 0.45/0.68 (define @t11 () (@var "El1" $$unsorted)) % 0.45/0.68 (define @t12 () (tptp.apply @t5 @t10)) % 0.45/0.68 (define @t13 () (tptp.apply @t5 @t11)) % 0.45/0.68 (define @t14 () (tptp.element @t10 @t3)) % 0.45/0.68 (define @t15 () (tptp.element @t11 @t3)) % 0.45/0.68 (define @t16 () (@list @t11 @t10)) % 0.45/0.68 (define @t17 () (forall @t16 (=> (and @t15 @t14 (= @t13 @t12)) (= @t11 @t10)))) % 0.45/0.68 (define @t18 () (tptp.injection @t5)) % 0.45/0.68 (define @t19 () (@var "ElCod" $$unsorted)) % 0.45/0.68 (define @t20 () (@var "ElDom" $$unsorted)) % 0.45/0.68 (define @t21 () (tptp.apply @t5 @t20)) % 0.45/0.68 (define @t22 () (tptp.element @t20 @t3)) % 0.45/0.68 (define @t23 () (and @t22 (= @t21 @t19))) % 0.45/0.68 (define @t24 () (@list @t20)) % 0.45/0.68 (define @t25 () (exists @t24 @t23)) % 0.45/0.68 (define @t26 () (tptp.element @t19 @t1)) % 0.45/0.68 (define @t27 () (=> @t26 @t25)) % 0.45/0.68 (define @t28 () (@list @t19)) % 0.45/0.68 (define @t29 () (forall @t28 @t27)) % 0.45/0.68 (define @t30 () (tptp.surjection @t5)) % 0.45/0.68 (define @t31 () (and @t8 @t29)) % 0.45/0.68 (define @t32 () (=> @t31 @t30)) % 0.45/0.68 (define @t33 () (forall @t9 @t32)) % 0.45/0.68 (define @t34 () (@var "ElCodDom" $$unsorted)) % 0.45/0.68 (define @t35 () (@var "Morphism1" $$unsorted)) % 0.45/0.68 (define @t36 () (@var "Morphism2" $$unsorted)) % 0.45/0.68 (define @t37 () (@var "CodDom" $$unsorted)) % 0.45/0.68 (define @t38 () (forall (@list @t34) (= (and (tptp.element @t34 @t37) (= (tptp.apply @t36 @t34) @t2)) (exists @t24 (and @t22 (= (tptp.apply @t35 @t20) @t34)))))) % 0.45/0.68 (define @t39 () (tptp.morphism @t36 @t37 @t1)) % 0.45/0.68 (define @t40 () (tptp.morphism @t35 @t3 @t37)) % 0.45/0.68 (define @t41 () (tptp.exact @t35 @t36)) % 0.45/0.68 (define @t42 () (@list @t35 @t36 @t3 @t37 @t1)) % 0.45/0.68 (define @t43 () (@var "M3" $$unsorted)) % 0.45/0.68 (define @t44 () (@var "M4" $$unsorted)) % 0.45/0.68 (define @t45 () (@var "M1" $$unsorted)) % 0.45/0.68 (define @t46 () (@var "M2" $$unsorted)) % 0.45/0.68 (define @t47 () (forall @t24 (=> @t22 (= (tptp.apply @t46 (tptp.apply @t45 @t20)) (tptp.apply @t44 (tptp.apply @t43 @t20)))))) % 0.45/0.68 (define @t48 () (@var "DomCod2" $$unsorted)) % 0.45/0.68 (define @t49 () (tptp.morphism @t44 @t48 @t1)) % 0.45/0.68 (define @t50 () (tptp.morphism @t43 @t3 @t48)) % 0.45/0.68 (define @t51 () (@var "DomCod1" $$unsorted)) % 0.45/0.68 (define @t52 () (tptp.morphism @t46 @t51 @t1)) % 0.45/0.68 (define @t53 () (tptp.morphism @t45 @t3 @t51)) % 0.45/0.68 (define @t54 () (tptp.commute @t45 @t46 @t43 @t44)) % 0.45/0.68 (define @t55 () (@list @t45 @t46 @t43 @t44 @t3 @t51 @t48 @t1)) % 0.45/0.68 (define @t56 () (tptp.subtract @t3 @t11 @t10)) % 0.45/0.68 (define @t57 () (tptp.element @t56 @t3)) % 0.45/0.68 (define @t58 () (and @t15 @t14)) % 0.45/0.68 (define @t59 () (@list @t3 @t11 @t10)) % 0.45/0.68 (define @t60 () (forall @t59 (=> @t58 @t57))) % 0.45/0.68 (define @t61 () (tptp.morphism tptp.g tptp.b tptp.e)) % 0.45/0.68 (define @t62 () (@var "R" $$unsorted)) % 0.45/0.68 (define @t63 () (@var "B1" $$unsorted)) % 0.45/0.68 (define @t64 () (tptp.apply tptp.g @t63)) % 0.45/0.68 (define @t65 () (tptp.element @t63 tptp.b)) % 0.45/0.68 (define @t66 () (@var "E" $$unsorted)) % 0.45/0.68 (define @t67 () (tptp.element @t66 tptp.e)) % 0.45/0.68 (define @t68 () (@list @t66)) % 0.45/0.68 (define @t69 () (@var "E1" $$unsorted)) % 0.45/0.68 (define @t70 () (@var "A" $$unsorted)) % 0.45/0.68 (define @t71 () (@var "B2" $$unsorted)) % 0.45/0.68 (define @t72 () (tptp.apply tptp.g (tptp.subtract tptp.b @t63 @t71))) % 0.45/0.68 (define @t73 () (tptp.element @t71 tptp.b)) % 0.45/0.68 (define @t74 () (and @t65 @t73 (= @t72 @t66))) % 0.45/0.68 (define @t75 () (@list @t63 @t71)) % 0.45/0.68 (define @t76 () (exists @t75 @t74)) % 0.45/0.68 (define @t77 () (=> @t67 @t76)) % 0.45/0.68 (define @t78 () (forall @t68 @t77)) % 0.45/0.68 (define @t79 () (tptp.surjection tptp.g)) % 0.45/0.68 (define @t80 () (= @t66 @t72)) % 0.45/0.68 (define @t81 () (not @t80)) % 0.45/0.68 (define @t82 () (not @t73)) % 0.45/0.68 (define @t83 () (not @t65)) % 0.45/0.68 (define @t84 () (or @t83 @t82 @t81)) % 0.45/0.68 (define @t85 () (not (forall @t75 @t84))) % 0.45/0.68 (define @t86 () (and @t65 @t73 @t80)) % 0.45/0.68 (define @t87 () (forall @t75 (not @t86))) % 0.45/0.68 (define @t88 () (not @t87)) % 0.45/0.68 (define @t89 () (tptp.apply tptp.g @t20)) % 0.45/0.68 (define @t90 () (not (tptp.element @t20 tptp.b))) % 0.45/0.68 (define @t91 () (forall @t28 (or (not (tptp.element @t19 tptp.e)) (not (forall @t24 (or @t90 (not (= @t19 @t89)))))))) % 0.45/0.68 (define @t92 () (@quantifiers_skolemize @t91 0)) % 0.45/0.68 (define @t93 () (not (= @t92 @t72))) % 0.45/0.68 (define @t94 () (or @t83 @t82 @t93)) % 0.45/0.68 (define @t95 () (forall @t75 @t94)) % 0.45/0.68 (define @t96 () (not @t95)) % 0.45/0.68 (define @t97 () (tptp.element @t92 tptp.e)) % 0.45/0.68 (define @t98 () (not @t97)) % 0.45/0.68 (define @t99 () (or @t98 @t96)) % 0.45/0.68 (define @t100 () (forall @t68 (or (not @t67) @t85))) % 0.45/0.68 (define @t101 () (forall @t75 (or @t83 @t82 (not (= @t72 @t92))))) % 0.45/0.68 (define @t102 () (not @t101)) % 0.45/0.68 (define @t103 () (or @t98 @t102)) % 0.45/0.68 (define @t104 () (@list false)) % 0.45/0.68 (define @t105 () (= @t19 @t21)) % 0.45/0.68 (define @t106 () (not (forall @t24 (or (not @t22) (not @t105))))) % 0.45/0.68 (define @t107 () (forall @t28 (or (not @t26) @t106))) % 0.45/0.68 (define @t108 () (not @t107)) % 0.45/0.68 (define @t109 () (not @t8)) % 0.45/0.68 (define @t110 () (and @t8 @t107)) % 0.45/0.68 (define @t111 () (and @t22 @t105)) % 0.45/0.68 (define @t112 () (forall @t24 (not @t111))) % 0.45/0.68 (define @t113 () (not @t112)) % 0.45/0.68 (define @t114 () (not @t91)) % 0.45/0.68 (define @t115 () (not @t61)) % 0.45/0.68 (define @t116 () (or @t115 @t114 @t79)) % 0.45/0.68 (define @t117 () (forall @t24 (or @t90 (not (= @t89 @t92))))) % 0.45/0.68 (define @t118 () (not @t117)) % 0.45/0.68 (define @t119 () (or @t98 @t118)) % 0.45/0.68 (define @t120 () (not @t119)) % 0.45/0.68 (define @t121 () (not (= @t92 @t89))) % 0.45/0.68 (define @t122 () (or @t90 @t121)) % 0.45/0.68 (define @t123 () (forall @t24 @t122)) % 0.45/0.68 (define @t124 () (not @t123)) % 0.45/0.68 (define @t125 () (or @t98 @t124)) % 0.45/0.68 (define @t126 () (not @t125)) % 0.45/0.68 (define @t127 () (@list true)) % 0.45/0.68 (define @t128 () (@list @t119)) % 0.45/0.68 (define @t129 () (@quantifiers_skolemize @t101 1)) % 0.45/0.68 (define @t130 () (@quantifiers_skolemize @t101 0)) % 0.45/0.68 (define @t131 () (tptp.subtract tptp.b @t130 @t129)) % 0.45/0.68 (define @t132 () (tptp.apply tptp.g @t131)) % 0.45/0.68 (define @t133 () (= @t92 @t132)) % 0.45/0.68 (define @t134 () (not @t133)) % 0.45/0.68 (define @t135 () (tptp.element @t129 tptp.b)) % 0.45/0.68 (define @t136 () (not @t135)) % 0.45/0.68 (define @t137 () (tptp.element @t130 tptp.b)) % 0.45/0.68 (define @t138 () (not @t137)) % 0.45/0.68 (define @t139 () (or @t138 @t136 @t134)) % 0.45/0.68 (define @t140 () (not @t139)) % 0.45/0.68 (define @t141 () (not (= @t132 @t92))) % 0.45/0.68 (define @t142 () (or @t138 @t136 @t141)) % 0.45/0.68 (define @t143 () (not @t142)) % 0.45/0.68 (define @t144 () (@list @t139)) % 0.45/0.68 (define @t145 () (tptp.element @t131 tptp.b)) % 0.45/0.68 (define @t146 () (not @t145)) % 0.45/0.68 (define @t147 () (or @t146 @t141)) % 0.45/0.68 (define @t148 () (or @t146 @t134)) % 0.45/0.68 (define @t149 () (not @t14)) % 0.45/0.68 (define @t150 () (not @t15)) % 0.45/0.68 (define @t151 () (or @t138 @t136 @t145)) % 0.45/0.68 (define @t152 () (@list false false false)) % 0.45/0.68 (assume @p1 (forall @t9 (=> @t8 (and (forall (@list @t6) (=> @t7 (tptp.element (tptp.apply @t5 @t6) @t1))) (= (tptp.apply @t5 @t4) @t2))))) % 0.45/0.68 (assume @p2 (forall @t9 (=> (and @t18 @t8) @t17))) % 0.45/0.68 (assume @p3 (forall @t9 (=> (and @t8 @t17) @t18))) % 0.45/0.68 (assume @p4 (forall @t9 (=> (and @t30 @t8) @t29))) % 0.45/0.68 (assume @p5 @t33) % 0.45/0.68 (assume @p6 (forall @t42 (=> (and @t41 @t40 @t39) @t38))) % 0.45/0.68 (assume @p7 (forall @t42 (=> (and @t40 @t39 @t38) @t41))) % 0.45/0.68 (assume @p8 (forall @t55 (=> (and @t54 @t53 @t52 @t50 @t49) @t47))) % 0.45/0.68 (assume @p9 (forall @t55 (=> (and @t53 @t52 @t50 @t49 @t47) @t54))) % 0.45/0.68 (assume @p10 @t60) % 0.45/0.68 (assume @p11 (forall (@list @t3 @t6) (=> @t7 (= (tptp.subtract @t3 @t6 @t6) @t4)))) % 0.45/0.68 (assume @p12 (forall @t59 (=> @t58 (= (tptp.subtract @t3 @t11 @t56) @t10)))) % 0.45/0.68 (assume @p13 (forall @t9 (=> @t8 (forall @t16 (=> @t58 (= (tptp.apply @t5 @t56) (tptp.subtract @t1 @t13 @t12))))))) % 0.45/0.68 (assume @p14 (tptp.morphism tptp.alpha tptp.a tptp.b)) % 0.45/0.68 (assume @p15 (tptp.morphism tptp.beta tptp.b tptp.c)) % 0.45/0.68 (assume @p16 (tptp.morphism tptp.gamma tptp.d tptp.e)) % 0.45/0.68 (assume @p17 (tptp.morphism tptp.delta tptp.e tptp.r)) % 0.45/0.68 (assume @p18 (tptp.morphism tptp.f tptp.a tptp.d)) % 0.45/0.68 (assume @p19 @t61) % 0.45/0.68 (assume @p20 (tptp.morphism tptp.h tptp.c tptp.r)) % 0.45/0.68 (assume @p21 (tptp.injection tptp.alpha)) % 0.45/0.68 (assume @p22 (tptp.injection tptp.gamma)) % 0.45/0.68 (assume @p23 (tptp.surjection tptp.beta)) % 0.45/0.68 (assume @p24 (tptp.surjection tptp.delta)) % 0.45/0.68 (assume @p25 (tptp.exact tptp.alpha tptp.beta)) % 0.45/0.68 (assume @p26 (tptp.exact tptp.gammma tptp.delta)) % 0.45/0.68 (assume @p27 (tptp.commute tptp.alpha tptp.g tptp.f tptp.gamma)) % 0.45/0.68 (assume @p28 (tptp.commute tptp.beta tptp.h tptp.g tptp.delta)) % 0.45/0.68 (assume @p29 (tptp.surjection tptp.f)) % 0.45/0.68 (assume @p30 (tptp.surjection tptp.h)) % 0.45/0.68 (assume @p31 (forall @t68 (=> @t67 (exists (@list @t62 @t63) (and (tptp.element @t62 tptp.r) (= (tptp.apply tptp.delta @t66) @t62) @t65 (= (tptp.apply tptp.h (tptp.apply tptp.beta @t63)) @t62) (= (tptp.apply tptp.delta @t64) @t62)))))) % 0.45/0.68 (assume @p32 (forall @t68 (=> @t67 (exists (@list @t63 @t69 @t70) (and @t65 (tptp.element @t69 tptp.e) (= (tptp.subtract tptp.e @t64 @t66) @t69) (tptp.element @t70 tptp.a) (= (tptp.apply tptp.gamma (tptp.apply tptp.f @t70)) @t69) (= (tptp.apply tptp.g (tptp.apply tptp.alpha @t70)) @t69)))))) % 0.45/0.68 (assume @p33 @t78) % 0.45/0.68 (assume @p34 (not @t79)) % 0.45/0.68 (assume @p35 true) % 0.45/0.68 (step @p36 :rule bool-impl-elim :args (@t67 @t85)) % 0.45/0.68 (step @p37 :rule cong :premises (@p36) :args ((forall @t68 (=> @t67 @t85)))) % 0.45/0.68 (step @p38 :rule aci_norm :args ((= (or @t83 (or @t82 @t81)) @t84))) % 0.45/0.68 (step @p39 :rule bool-and-de-morgan :args (@t73 @t80 true)) % 0.45/0.68 (step @p40 :rule refl :args (@t83)) % 0.45/0.68 (step @p41 :rule nary_cong :premises (@p40 @p39) :args ((or @t83 (not (and @t73 @t80))))) % 0.45/0.68 (step @p42 :rule bool-and-de-morgan :args (@t65 @t73 (and @t80))) % 0.45/0.68 (step @p43 :rule trans :premises (@p42 @p41)) % 0.45/0.68 (step @p44 :rule trans :premises (@p43 @p38)) % 0.45/0.68 (step @p45 :rule cong :premises (@p44) :args (@t87)) % 0.45/0.68 (step @p46 :rule cong :premises (@p45) :args (@t88)) % 0.45/0.68 (step @p47 :rule exists-elim :args ((= (exists @t75 @t86) @t88))) % 0.45/0.68 (step @p48 :rule trans :premises (@p47 @p46)) % 0.45/0.68 (step @p49 :rule eq-symm :args (@t72 @t66)) % 0.45/0.68 (step @p50 :rule refl :args (@t73)) % 0.45/0.68 (step @p51 :rule refl :args (@t65)) % 0.45/0.68 (step @p52 :rule nary_cong :premises (@p51 @p50 @p49) :args (@t74)) % 0.45/0.68 (step @p53 :rule cong :premises (@p52) :args (@t76)) % 0.45/0.68 (step @p54 :rule trans :premises (@p53 @p48)) % 0.45/0.68 (step @p55 :rule refl :args (@t67)) % 0.45/0.68 (step @p56 :rule cong :premises (@p55 @p54) :args (@t77)) % 0.45/0.68 (step @p57 :rule cong :premises (@p56) :args (@t78)) % 0.45/0.68 (step @p58 :rule trans :premises (@p57 @p37)) % 0.45/0.68 (step @p59 :rule eq_resolve :premises (@p33 @p58)) % 0.45/0.68 (step @p60 :rule eq-symm :args (@t92 @t72)) % 0.45/0.68 (step @p61 :rule cong :premises (@p60) :args (@t93)) % 0.45/0.68 (step @p62 :rule refl :args (@t82)) % 0.45/0.68 (step @p63 :rule refl :args (@t83)) % 0.45/0.68 (step @p64 :rule nary_cong :premises (@p63 @p62 @p61) :args (@t94)) % 0.45/0.68 (step @p65 :rule cong :premises (@p64) :args (@t95)) % 0.45/0.68 (step @p66 :rule cong :premises (@p65) :args (@t96)) % 0.45/0.68 (step @p67 :rule refl :args (@t98)) % 0.45/0.68 (step @p68 :rule nary_cong :premises (@p67 @p66) :args (@t99)) % 0.45/0.68 (step @p69 :rule refl :args (@t100)) % 0.45/0.68 (step @p70 :rule cong :premises (@p69 @p68) :args ((=> @t100 @t99))) % 0.45/0.68 (assume-push @p215 @t100) % 0.45/0.68 (step @p72 :rule instantiate :premises (@p59) :args ((@list @t92))) % 0.45/0.68 (step-pop @p216 :rule scope :premises (@p72)) % 0.45/0.68 (step @p73 :rule process_scope :premises (@p216) :args (@t99)) % 0.45/0.68 (step @p75 :rule eq_resolve :premises (@p73 @p70)) % 0.45/0.68 (step @p76 :rule implies_elim :premises (@p75)) % 0.45/0.68 (step @p77 :rule chain_m_resolution :premises (@p76 @p59) :args (@t103 @t104 (@list @t100))) % 0.45/0.68 (step @p78 :rule aci_norm :args ((= (or (or @t109 @t108) @t30) (or @t109 @t108 @t30)))) % 0.45/0.68 (step @p79 :rule refl :args (@t30)) % 0.45/0.68 (step @p80 :rule bool-and-de-morgan :args (@t8 @t107 true)) % 0.45/0.68 (step @p81 :rule nary_cong :premises (@p80 @p79) :args 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0.45/0.68 (step @p153 :rule refl :args (@t102)) % 0.45/0.68 (step @p154 :rule cong :premises (@p153 @p152) :args ((=> @t102 @t143))) % 0.45/0.68 (assume-push @p219 @t102) % 0.45/0.68 (step @p156 :rule skolemize :premises (@p143)) % 0.45/0.68 (step-pop @p220 :rule scope :premises (@p156)) % 0.45/0.68 (step @p157 :rule process_scope :premises (@p220) :args (@t143)) % 0.45/0.68 (step @p159 :rule eq_resolve :premises (@p157 @p154)) % 0.45/0.68 (step @p160 :rule implies_elim :premises (@p159)) % 0.45/0.68 (step @p161 :rule eq_resolve :premises (@p160 @p146)) % 0.45/0.68 (step @p162 :rule chain_m_resolution :premises (@p161 @p143) :args (@t140 @t127 (@list @t101))) % 0.45/0.68 (step @p163 :rule bool-double-not-elim :args (@t133)) % 0.45/0.68 (step @p164 :rule refl :args (@t139)) % 0.45/0.68 (step @p165 :rule nary_cong :premises (@p164 @p163) :args ((or @t139 (not @t134)))) % 0.45/0.68 (step @p166 :rule cnf_or_neg :args (@t139 2)) % 0.45/0.68 (step @p167 :rule eq_resolve :premises (@p166 @p165)) % 0.45/0.68 (step @p168 :rule reordering :premises (@p167) :args ((or @t133 @t139))) % 0.45/0.68 (step @p169 :rule chain_m_resolution :premises (@p168 @p162) :args (@t133 @t127 @t144)) % 0.45/0.68 (step @p170 :rule bool-double-not-elim :args (@t117)) % 0.45/0.68 (step @p171 :rule nary_cong :premises (@p135 @p170) :args ((or @t119 (not @t118)))) % 0.45/0.68 (step @p172 :rule cnf_or_neg :args (@t119 1)) % 0.45/0.68 (step @p173 :rule eq_resolve :premises (@p172 @p171)) % 0.45/0.68 (step @p174 :rule reordering :premises (@p173) :args ((or @t117 @t119))) % 0.45/0.68 (step @p175 :rule chain_m_resolution :premises (@p174 @p133) :args (@t117 @t127 @t128)) % 0.45/0.68 (step @p176 :rule refl :args (@t146)) % 0.45/0.68 (step @p177 :rule nary_cong :premises (@p176 @p148) :args (@t147)) % 0.45/0.68 (step @p178 :rule refl :args (@t117)) % 0.45/0.68 (step @p179 :rule cong :premises (@p178 @p177) :args ((=> @t117 @t147))) % 0.45/0.68 (assume-push @p221 @t117) % 0.45/0.68 (step @p181 :rule instantiate :premises (@p175) :args ((@list @t131))) % 0.45/0.68 (step-pop @p222 :rule scope :premises (@p181)) % 0.45/0.68 (step @p182 :rule process_scope :premises (@p222) :args (@t147)) % 0.45/0.68 (step @p184 :rule eq_resolve :premises (@p182 @p179)) % 0.45/0.68 (step @p185 :rule implies_elim :premises (@p184)) % 0.45/0.68 (step @p186 :rule chain_m_resolution :premises (@p185 @p175) :args (@t148 @t104 (@list @t117))) % 0.45/0.68 (step @p187 :rule aci_norm :args ((= (or (or @t150 @t149) @t57) (or @t150 @t149 @t57)))) % 0.45/0.68 (step @p188 :rule refl :args (@t57)) % 0.45/0.68 (step @p189 :rule bool-and-de-morgan :args (@t15 @t14 true)) % 0.45/0.68 (step @p190 :rule nary_cong :premises (@p189 @p188) :args ((or (not @t58) @t57))) % 0.45/0.68 (step @p191 :rule trans :premises (@p190 @p187)) % 0.45/0.68 (step @p192 :rule bool-impl-elim :args (@t58 @t57)) % 0.45/0.68 (step @p193 :rule trans :premises (@p192 @p191)) % 0.45/0.68 (step @p194 :rule cong :premises (@p193) :args (@t60)) % 0.45/0.68 (step @p195 :rule eq_resolve :premises (@p10 @p194)) % 0.45/0.68 (step @p196 :rule instantiate :premises (@p195) :args ((@list tptp.b @t130 @t129))) % 0.45/0.68 (step @p197 :rule bool-double-not-elim :args (@t135)) % 0.45/0.68 (step @p198 :rule nary_cong :premises (@p164 @p197) :args ((or @t139 (not @t136)))) % 0.45/0.68 (step @p199 :rule cnf_or_neg :args (@t139 1)) % 0.45/0.68 (step @p200 :rule eq_resolve :premises (@p199 @p198)) % 0.45/0.68 (step @p201 :rule reordering :premises (@p200) :args ((or @t135 @t139))) % 0.45/0.68 (step @p202 :rule chain_m_resolution :premises (@p201 @p162) :args (@t135 @t127 @t144)) % 0.45/0.68 (step @p203 :rule bool-double-not-elim :args (@t137)) % 0.45/0.68 (step @p204 :rule nary_cong :premises (@p164 @p203) :args ((or @t139 (not @t138)))) % 0.45/0.68 (step @p205 :rule cnf_or_neg :args (@t139 0)) % 0.45/0.68 (step @p206 :rule eq_resolve :premises (@p205 @p204)) % 0.45/0.68 (step @p207 :rule reordering :premises (@p206) :args ((or @t137 @t139))) % 0.45/0.68 (step @p208 :rule chain_m_resolution :premises (@p207 @p162) :args (@t137 @t127 @t144)) % 0.45/0.68 (step @p209 :rule cnf_or_pos :args (@t151)) % 0.45/0.68 (step @p210 :rule reordering :premises (@p209) :args ((or @t138 @t136 @t145 (not @t151)))) % 0.45/0.68 (step @p211 :rule chain_m_resolution :premises (@p210 @p208 @p202 @p196) :args (@t145 @t152 (@list @t137 @t135 @t151))) % 0.45/0.68 (step @p212 :rule cnf_or_pos :args (@t148)) % 0.45/0.68 (step @p213 :rule reordering :premises (@p212) :args ((or @t134 @t146 (not @t148)))) % 0.45/0.68 (step @p214 false :rule chain_m_resolution :premises (@p213 @p211 @p186 @p169) :args (false @t152 (@list @t145 @t148 @t133))) % 0.45/0.68 ) % 0.45/0.68 % SZS output end Proof % 0.45/0.68 % cvc5 exiting %------------------------------------------------------------------------------