%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU224+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n021.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 08:51:01 AM UTC 2026 % Result : Theorem 33.61s 33.87s % Output : Proof 33.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU224+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n021.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 16:44:35 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 33.61/33.87 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 33.61/33.87 --- Run --no-e-matching --full-saturate-quant at 6... % 33.61/33.87 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 33.61/33.87 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.61/33.87 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.61/33.87 % SZS status Theorem % 33.61/33.87 % SZS output start Proof % 33.61/33.87 ( % 33.61/33.87 (declare-sort $$unsorted 0) % 33.61/33.87 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 33.61/33.87 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 33.61/33.87 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 33.61/33.87 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 33.61/33.87 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 33.61/33.87 (declare-const tptp.empty_set $$unsorted) % 33.61/33.87 (declare-const tptp.relation (-> $$unsorted Bool)) % 33.61/33.87 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 33.61/33.87 (declare-const tptp.empty (-> $$unsorted Bool)) % 33.61/33.87 (declare-const tptp.function (-> $$unsorted Bool)) % 33.61/33.87 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 33.61/33.87 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 33.61/33.87 (define @t1 () (@var "A" $$unsorted)) % 33.61/33.87 (define @t2 () (@var "B" $$unsorted)) % 33.61/33.87 (define @t3 () (tptp.in @t2 @t1)) % 33.61/33.87 (define @t4 () (tptp.in @t1 @t2)) % 33.61/33.87 (define @t5 () (@list @t1 @t2)) % 33.61/33.87 (define @t6 () (tptp.function @t1)) % 33.61/33.87 (define @t7 () (tptp.empty @t1)) % 33.61/33.87 (define @t8 () (@list @t1)) % 33.61/33.87 (define @t9 () (tptp.relation @t1)) % 33.61/33.87 (define @t10 () (and @t9 @t6 (tptp.one_to_one @t1))) % 33.61/33.87 (define @t11 () (and @t9 @t7 @t6)) % 33.61/33.87 (define @t12 () (tptp.set_intersection2 @t1 @t2)) % 33.61/33.87 (define @t13 () (@var "D" $$unsorted)) % 33.61/33.87 (define @t14 () (@var "C" $$unsorted)) % 33.61/33.87 (define @t15 () (@list @t13)) % 33.61/33.87 (define @t16 () (forall @t15 (= (tptp.in @t13 @t14) (and (tptp.in @t13 @t1) (tptp.in @t13 @t2))))) % 33.61/33.87 (define @t17 () (= (= @t14 @t12) @t16)) % 33.61/33.87 (define @t18 () (@list @t1 @t2 @t14)) % 33.61/33.87 (define @t19 () (forall @t18 @t17)) % 33.61/33.87 (define @t20 () (tptp.relation_dom_restriction @t1 @t2)) % 33.61/33.87 (define @t21 () (tptp.relation @t20)) % 33.61/33.87 (define @t22 () (forall @t5 (=> @t9 @t21))) % 33.61/33.87 (define @t23 () (tptp.relation tptp.empty_set)) % 33.61/33.87 (define @t24 () (tptp.empty tptp.empty_set)) % 33.61/33.87 (define @t25 () (and @t9 (tptp.relation_empty_yielding @t1))) % 33.61/33.87 (define @t26 () (tptp.relation @t2)) % 33.61/33.87 (define @t27 () (and @t21 (tptp.function @t20))) % 33.61/33.87 (define @t28 () (and @t9 @t6)) % 33.61/33.87 (define @t29 () (forall @t5 (=> @t28 @t27))) % 33.61/33.87 (define @t30 () (tptp.relation_dom @t1)) % 33.61/33.87 (define @t31 () (tptp.empty @t30)) % 33.61/33.87 (define @t32 () (not @t7)) % 33.61/33.87 (define @t33 () (and @t32 @t9)) % 33.61/33.87 (define @t34 () (tptp.relation_dom @t14)) % 33.61/33.87 (define @t35 () (tptp.relation_dom_restriction @t14 @t1)) % 33.61/33.87 (define @t36 () (= (tptp.in @t2 (tptp.relation_dom @t35)) (and (tptp.in @t2 @t34) @t3))) % 33.61/33.87 (define @t37 () (tptp.function @t14)) % 33.61/33.87 (define @t38 () (tptp.relation @t14)) % 33.61/33.87 (define @t39 () (and @t38 @t37)) % 33.61/33.87 (define @t40 () (forall @t18 (=> @t39 @t36))) % 33.61/33.87 (define @t41 () (not @t40)) % 33.61/33.87 (define @t42 () (tptp.element @t1 @t2)) % 33.61/33.87 (define @t43 () (tptp.empty @t2)) % 33.61/33.87 (define @t44 () (tptp.apply @t2 @t13)) % 33.61/33.87 (define @t45 () (= @t44 (tptp.apply @t14 @t13))) % 33.61/33.87 (define @t46 () (tptp.relation_dom @t2)) % 33.61/33.87 (define @t47 () (tptp.in @t13 @t46)) % 33.61/33.87 (define @t48 () (forall @t15 (=> @t47 @t45))) % 33.61/33.87 (define @t49 () (= @t46 (tptp.set_intersection2 @t34 @t1))) % 33.61/33.87 (define @t50 () (and @t49 @t48)) % 33.61/33.87 (define @t51 () (= @t2 @t35)) % 33.61/33.87 (define @t52 () (= @t51 @t50)) % 33.61/33.87 (define @t53 () (=> @t39 @t52)) % 33.61/33.87 (define @t54 () (@list @t14)) % 33.61/33.87 (define @t55 () (forall @t54 @t53)) % 33.61/33.87 (define @t56 () (tptp.function @t2)) % 33.61/33.87 (define @t57 () (and @t26 @t56)) % 33.61/33.87 (define @t58 () (=> @t57 @t55)) % 33.61/33.87 (define @t59 () (forall @t5 @t58)) % 33.61/33.87 (define @t60 () (not @t37)) % 33.61/33.87 (define @t61 () (not @t38)) % 33.61/33.87 (define @t62 () (or @t61 @t60 @t36)) % 33.61/33.87 (define @t63 () (or @t61 @t60)) % 33.61/33.87 (define @t64 () (not @t39)) % 33.61/33.87 (define @t65 () (forall @t18 @t62)) % 33.61/33.87 (define @t66 () (@quantifiers_skolemize @t65 0)) % 33.61/33.87 (define @t67 () (@quantifiers_skolemize @t65 1)) % 33.61/33.87 (define @t68 () (@quantifiers_skolemize @t65 2)) % 33.61/33.87 (define @t69 () (tptp.relation_dom @t68)) % 33.61/33.87 (define @t70 () (tptp.relation_dom_restriction @t68 @t66)) % 33.61/33.87 (define @t71 () (tptp.relation_dom @t70)) % 33.61/33.87 (define @t72 () (= (tptp.in @t67 @t71) (and (tptp.in @t67 @t69) (tptp.in @t67 @t66)))) % 33.61/33.87 (define @t73 () (tptp.function @t68)) % 33.61/33.87 (define @t74 () (not @t73)) % 33.61/33.87 (define @t75 () (tptp.relation @t68)) % 33.61/33.87 (define @t76 () (not @t75)) % 33.61/33.87 (define @t77 () (or @t76 @t74 @t72)) % 33.61/33.87 (define @t78 () (@list true)) % 33.61/33.87 (define @t79 () (@list @t77)) % 33.61/33.87 (define @t80 () (= @t12 @t14)) % 33.61/33.87 (define @t81 () (tptp.in @t13 @t71)) % 33.61/33.87 (define @t82 () (forall @t15 (= @t81 (and (tptp.in @t13 @t69) (tptp.in @t13 @t66))))) % 33.61/33.87 (define @t83 () (tptp.set_intersection2 @t69 @t66)) % 33.61/33.87 (define @t84 () (= @t71 @t83)) % 33.61/33.87 (define @t85 () (= @t82 (= @t83 @t71))) % 33.61/33.87 (define @t86 () (forall @t18 (= @t16 @t80))) % 33.61/33.87 (define @t87 () (= @t84 @t82)) % 33.61/33.87 (define @t88 () (@list false)) % 33.61/33.87 (define @t89 () (@var "BOUND_VARIABLE_7703" $$unsorted)) % 33.61/33.87 (define @t90 () (not @t47)) % 33.61/33.87 (define @t91 () (= (= @t2 (tptp.relation_dom_restriction @t89 @t1)) (and (= @t46 (tptp.set_intersection2 (tptp.relation_dom @t89) @t1)) (forall @t15 (or @t90 (= @t44 (tptp.apply @t89 @t13))))))) % 33.61/33.87 (define @t92 () (not (tptp.function @t89))) % 33.61/33.87 (define @t93 () (not (tptp.relation @t89))) % 33.61/33.87 (define @t94 () (not @t56)) % 33.61/33.87 (define @t95 () (not @t26)) % 33.61/33.87 (define @t96 () (or @t95 @t94 @t93 @t92 @t91)) % 33.61/33.87 (define @t97 () (or @t93 @t92 @t91)) % 33.61/33.87 (define @t98 () (or @t95 @t94 @t97)) % 33.61/33.87 (define @t99 () (@list @t1 @t2 @t89)) % 33.61/33.87 (define @t100 () (forall @t99 @t98)) % 33.61/33.87 (define @t101 () (@list @t89)) % 33.61/33.87 (define @t102 () (forall @t101 @t98)) % 33.61/33.87 (define @t103 () (forall @t101 @t97)) % 33.61/33.87 (define @t104 () (or @t95 @t94 @t103)) % 33.61/33.87 (define @t105 () (= @t51 (and @t49 (forall @t15 (or @t90 @t45))))) % 33.61/33.87 (define @t106 () (or @t61 @t60 @t105)) % 33.61/33.87 (define @t107 () (forall @t54 @t106)) % 33.61/33.87 (define @t108 () (or @t95 @t94 @t107)) % 33.61/33.87 (define @t109 () (tptp.apply @t70 @t13)) % 33.61/33.87 (define @t110 () (tptp.apply @t68 @t13)) % 33.61/33.87 (define @t111 () (not @t81)) % 33.61/33.87 (define @t112 () (and @t84 (forall @t15 (or @t111 (= @t110 @t109))))) % 33.61/33.87 (define @t113 () (or @t111 (= @t109 @t110))) % 33.61/33.87 (define @t114 () (forall @t15 @t113)) % 33.61/33.87 (define @t115 () (and @t84 @t114)) % 33.61/33.87 (define @t116 () (= (= @t70 @t70) @t115)) % 33.61/33.87 (define @t117 () (tptp.function @t70)) % 33.61/33.87 (define @t118 () (not @t117)) % 33.61/33.87 (define @t119 () (tptp.relation @t70)) % 33.61/33.87 (define @t120 () (not @t119)) % 33.61/33.87 (define @t121 () (or @t120 @t118 @t76 @t74 @t116)) % 33.61/33.87 (define @t122 () (forall @t99 @t96)) % 33.61/33.87 (define @t123 () (or @t120 @t118 @t76 @t74 @t112)) % 33.61/33.87 (define @t124 () (not @t6)) % 33.61/33.87 (define @t125 () (not @t9)) % 33.61/33.87 (define @t126 () (@list @t68 @t66)) % 33.61/33.87 (define @t127 () (and @t119 @t117)) % 33.61/33.87 (define @t128 () (or @t76 @t74 @t127)) % 33.61/33.87 (define @t129 () (or @t76 @t119)) % 33.61/33.87 (define @t130 () (@list false false)) % 33.61/33.87 (assume @p1 (forall @t5 (=> @t4 (not @t3)))) % 33.61/33.87 (assume @p2 (forall @t8 (=> @t7 @t6))) % 33.61/33.87 (assume @p3 (forall @t8 (=> @t7 @t9))) % 33.61/33.87 (assume @p4 (forall @t8 (=> @t11 @t10))) % 33.61/33.87 (assume @p5 (forall @t5 (= @t12 (tptp.set_intersection2 @t2 @t1)))) % 33.61/33.87 (assume @p6 @t19) % 33.61/33.87 (assume @p7 true) % 33.61/33.87 (assume @p8 @t22) % 33.61/33.87 (assume @p9 (forall @t8 (exists (@list @t2) (tptp.element @t2 @t1)))) % 33.61/33.87 (assume @p10 (and @t24 @t23 (tptp.relation_empty_yielding tptp.empty_set))) % 33.61/33.87 (assume @p11 (forall @t5 (=> @t25 (and @t21 (tptp.relation_empty_yielding @t20))))) % 33.61/33.87 (assume @p12 (forall @t5 (=> (and @t9 @t26) (tptp.relation @t12)))) % 33.61/33.87 (assume @p13 @t24) % 33.61/33.87 (assume @p14 @t29) % 33.61/33.87 (assume @p15 (and @t24 @t23)) % 33.61/33.87 (assume @p16 (forall @t8 (=> @t33 (not @t31)))) % 33.61/33.87 (assume @p17 (forall @t8 (=> @t7 (and @t31 (tptp.relation @t30))))) % 33.61/33.87 (assume @p18 (forall @t5 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 33.61/33.87 (assume @p19 @t41) % 33.61/33.87 (assume @p20 (exists @t8 @t28)) % 33.61/33.87 (assume @p21 (exists @t8 (and @t7 @t9))) % 33.61/33.87 (assume @p22 (exists @t8 @t7)) % 33.61/33.87 (assume @p23 (exists @t8 @t11)) % 33.61/33.87 (assume @p24 (exists @t8 @t33)) % 33.61/33.87 (assume @p25 (exists @t8 @t32)) % 33.61/33.87 (assume @p26 (exists @t8 @t10)) % 33.61/33.87 (assume @p27 (exists @t8 @t25)) % 33.61/33.87 (assume @p28 (forall @t5 (=> @t4 @t42))) % 33.61/33.87 (assume @p29 (forall @t8 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 33.61/33.87 (assume @p30 (forall @t5 (=> @t42 (or @t43 @t4)))) % 33.61/33.87 (assume @p31 @t59) % 33.61/33.87 (assume @p32 (forall @t8 (=> @t7 (= @t1 tptp.empty_set)))) % 33.61/33.87 (assume @p33 (forall @t5 (not (and @t4 @t43)))) % 33.61/33.87 (assume @p34 (forall @t5 (not (and @t7 (not (= @t1 @t2)) @t43)))) % 33.61/33.87 (step @p35 :rule aci_norm :args ((= (or @t63 @t36) @t62))) % 33.61/33.87 (step @p36 :rule refl :args (@t36)) % 33.61/33.87 (step @p37 :rule bool-and-de-morgan :args (@t38 @t37 true)) % 33.61/33.87 (step @p38 :rule nary_cong :premises (@p37 @p36) :args ((or @t64 @t36))) % 33.61/33.87 (step @p39 :rule trans :premises (@p38 @p35)) % 33.61/33.87 (step @p40 :rule bool-impl-elim :args (@t39 @t36)) % 33.61/33.87 (step @p41 :rule trans :premises (@p40 @p39)) % 33.61/33.87 (step @p42 :rule cong :premises (@p41) :args (@t40)) % 33.61/33.87 (step @p43 :rule cong :premises (@p42) :args (@t41)) % 33.61/33.87 (step @p44 :rule eq_resolve :premises (@p19 @p43)) % 33.61/33.87 (step @p45 :rule skolemize :premises (@p44)) % 33.61/33.87 (step @p46 :rule cnf_or_neg :args (@t77 2)) % 33.61/33.87 (step @p47 :rule chain_m_resolution :premises (@p46 @p45) :args ((not @t72) @t78 @t79)) % 33.61/33.87 (step @p48 :rule eq-symm :args (@t80 @t16)) % 33.61/33.87 (step @p49 :rule refl :args (@t16)) % 33.61/33.87 (step @p50 :rule eq-symm :args (@t14 @t12)) % 33.61/33.87 (step @p51 :rule cong :premises (@p50 @p49) :args (@t17)) % 33.61/33.87 (step @p52 :rule trans :premises (@p51 @p48)) % 33.61/33.87 (step @p53 :rule cong :premises (@p52) :args (@t19)) % 33.61/33.87 (step @p54 :rule eq_resolve :premises (@p6 @p53)) % 33.61/33.87 (step @p55 :rule eq-symm :args (@t82 @t84)) % 33.61/33.87 (step @p56 :rule eq-symm :args (@t83 @t71)) % 33.61/33.87 (step @p57 :rule refl :args (@t82)) % 33.61/33.87 (step @p58 :rule cong :premises (@p57 @p56) :args (@t85)) % 33.61/33.87 (step @p59 :rule trans :premises (@p58 @p55)) % 33.61/33.87 (step @p60 :rule refl :args (@t86)) % 33.61/33.87 (step @p61 :rule cong :premises (@p60 @p59) :args ((=> @t86 @t85))) % 33.61/33.87 (assume-push @p191 @t86) % 33.61/33.87 (step @p63 :rule instantiate :premises (@p54) :args ((@list @t69 @t66 @t71))) % 33.61/33.87 (step-pop @p192 :rule scope :premises (@p63)) % 33.61/33.87 (step @p64 :rule process_scope :premises (@p192) :args (@t85)) % 33.61/33.87 (step @p66 :rule eq_resolve :premises (@p64 @p61)) % 33.61/33.87 (step @p67 :rule implies_elim :premises (@p66)) % 33.61/33.87 (step @p68 :rule chain_m_resolution :premises (@p67 @p54) :args (@t87 @t88 (@list @t86))) % 33.61/33.87 (step @p69 :rule aci_norm :args ((= @t98 @t96))) % 33.61/33.87 (step @p70 :rule cong :premises (@p69) :args (@t100)) % 33.61/33.87 (step @p71 :rule quant-merge-prenex :args ((= (forall @t5 @t102) @t100))) % 33.61/33.87 (step @p72 :rule alpha_equiv :args (@t103 (@list @t89) (@list @t14))) % 33.61/33.87 (step @p73 :rule refl :args (@t94)) % 33.61/33.87 (step @p74 :rule refl :args (@t95)) % 33.61/33.87 (step @p75 :rule nary_cong :premises (@p74 @p73 @p72) :args (@t104)) % 33.61/33.87 (step @p76 :rule quant-miniscope-or :args ((= @t102 @t104))) % 33.61/33.87 (step @p77 :rule trans :premises (@p76 @p75)) % 33.61/33.87 (step @p78 :rule symm :premises (@p77)) % 33.61/33.87 (step @p79 :rule cong :premises (@p78) :args ((forall @t5 @t108))) % 33.61/33.87 (step @p80 :rule trans :premises (@p79 @p71)) % 33.61/33.87 (step @p81 :rule trans :premises (@p80 @p70)) % 33.61/33.87 (step @p82 :rule aci_norm :args ((= (or (or @t95 @t94) @t107) @t108))) % 33.61/33.87 (step @p83 :rule refl :args (@t107)) % 33.61/33.87 (step @p84 :rule bool-and-de-morgan :args (@t26 @t56 true)) % 33.61/33.87 (step @p85 :rule nary_cong :premises (@p84 @p83) :args ((or (not @t57) @t107))) % 33.61/33.87 (step @p86 :rule trans :premises (@p85 @p82)) % 33.61/33.87 (step @p87 :rule bool-impl-elim :args (@t57 @t107)) % 33.61/33.87 (step @p88 :rule trans :premises (@p87 @p86)) % 33.61/33.87 (step @p89 :rule cong :premises (@p88) :args ((forall @t5 (=> @t57 @t107)))) % 33.61/33.87 (step @p90 :rule trans :premises (@p89 @p81)) % 33.61/33.87 (step @p91 :rule aci_norm :args ((= (or @t63 @t105) @t106))) % 33.61/33.87 (step @p92 :rule refl :args (@t105)) % 33.61/33.87 (step @p93 :rule nary_cong :premises (@p37 @p92) :args ((or @t64 @t105))) % 33.61/33.87 (step @p94 :rule trans :premises (@p93 @p91)) % 33.61/33.87 (step @p95 :rule bool-impl-elim :args (@t39 @t105)) % 33.61/33.87 (step @p96 :rule trans :premises (@p95 @p94)) % 33.61/33.87 (step @p97 :rule cong :premises (@p96) :args ((forall @t54 (=> @t39 @t105)))) % 33.61/33.87 (step @p98 :rule bool-impl-elim :args (@t47 @t45)) % 33.61/33.87 (step @p99 :rule cong :premises (@p98) :args (@t48)) % 33.61/33.87 (step @p100 :rule refl :args (@t49)) % 33.61/33.87 (step @p101 :rule nary_cong :premises (@p100 @p99) :args (@t50)) % 33.61/33.87 (step @p102 :rule refl :args (@t51)) % 33.61/33.87 (step @p103 :rule cong :premises (@p102 @p101) :args (@t52)) % 33.61/33.87 (step @p104 :rule refl :args (@t39)) % 33.61/33.87 (step @p105 :rule cong :premises (@p104 @p103) :args (@t53)) % 33.61/33.87 (step @p106 :rule cong :premises (@p105) :args (@t55)) % 33.61/33.87 (step @p107 :rule trans :premises (@p106 @p97)) % 33.61/33.87 (step @p108 :rule refl :args (@t57)) % 33.61/33.87 (step @p109 :rule cong :premises (@p108 @p107) :args (@t58)) % 33.61/33.87 (step @p110 :rule cong :premises (@p109) :args (@t59)) % 33.61/33.87 (step @p111 :rule trans :premises (@p110 @p90)) % 33.61/33.87 (step @p112 :rule eq_resolve :premises (@p31 @p111)) % 33.61/33.87 (step @p113 :rule bool-eq-true :args (@t112)) % 33.61/33.87 (step @p114 :rule eq-symm :args (true @t112)) % 33.61/33.87 (step @p115 :rule trans :premises (@p114 @p113)) % 33.61/33.87 (step @p116 :rule eq-symm :args (@t109 @t110)) % 33.61/33.87 (step @p117 :rule refl :args (@t111)) % 33.61/33.87 (step @p118 :rule nary_cong :premises (@p117 @p116) :args (@t113)) % 33.61/33.87 (step @p119 :rule cong :premises (@p118) :args (@t114)) % 33.61/33.87 (step @p120 :rule refl :args (@t84)) % 33.61/33.87 (step @p121 :rule nary_cong :premises (@p120 @p119) :args (@t115)) % 33.61/33.87 (step @p122 :rule eq-refl :args (@t70)) % 33.61/33.87 (step @p123 :rule cong :premises (@p122 @p121) :args (@t116)) % 33.61/33.87 (step @p124 :rule trans :premises (@p123 @p115)) % 33.61/33.87 (step @p125 :rule refl :args (@t74)) % 33.61/33.87 (step @p126 :rule refl :args (@t76)) % 33.61/33.87 (step @p127 :rule refl :args (@t118)) % 33.61/33.87 (step @p128 :rule refl :args (@t120)) % 33.61/33.87 (step @p129 :rule nary_cong :premises (@p128 @p127 @p126 @p125 @p124) :args (@t121)) % 33.61/33.87 (step @p130 :rule refl :args (@t122)) % 33.61/33.87 (step @p131 :rule cong :premises (@p130 @p129) :args ((=> @t122 @t121))) % 33.61/33.87 (assume-push @p193 @t122) % 33.61/33.87 (step @p133 :rule instantiate :premises (@p112) :args ((@list @t66 @t70 @t68))) % 33.61/33.87 (step-pop @p194 :rule scope :premises (@p133)) % 33.61/33.87 (step @p134 :rule process_scope :premises (@p194) :args (@t121)) % 33.61/33.87 (step @p136 :rule eq_resolve :premises (@p134 @p131)) % 33.61/33.87 (step @p137 :rule implies_elim :premises (@p136)) % 33.61/33.87 (step @p138 :rule chain_m_resolution :premises (@p137 @p112) :args (@t123 @t88 (@list @t122))) % 33.61/33.87 (step @p139 :rule aci_norm :args ((= (or (or @t125 @t124) @t27) (or @t125 @t124 @t27)))) % 33.61/33.87 (step @p140 :rule refl :args (@t27)) % 33.61/33.87 (step @p141 :rule bool-and-de-morgan :args (@t9 @t6 true)) % 33.61/33.87 (step @p142 :rule nary_cong :premises (@p141 @p140) :args ((or (not @t28) @t27))) % 33.61/33.87 (step @p143 :rule trans :premises (@p142 @p139)) % 33.61/33.87 (step @p144 :rule bool-impl-elim :args (@t28 @t27)) % 33.61/33.87 (step @p145 :rule trans :premises (@p144 @p143)) % 33.61/33.87 (step @p146 :rule cong :premises (@p145) :args (@t29)) % 33.61/33.87 (step @p147 :rule eq_resolve :premises (@p14 @p146)) % 33.61/33.87 (step @p148 :rule instantiate :premises (@p147) :args (@t126)) % 33.61/33.87 (step @p149 :rule bool-double-not-elim :args (@t73)) % 33.61/33.87 (step @p150 :rule refl :args (@t77)) % 33.61/33.87 (step @p151 :rule nary_cong :premises (@p150 @p149) :args ((or @t77 (not @t74)))) % 33.61/33.87 (step @p152 :rule cnf_or_neg :args (@t77 1)) % 33.61/33.87 (step @p153 :rule eq_resolve :premises (@p152 @p151)) % 33.61/33.87 (step @p154 :rule reordering :premises (@p153) :args ((or @t73 @t77))) % 33.61/33.87 (step @p155 :rule chain_m_resolution :premises (@p154 @p45) :args (@t73 @t78 @t79)) % 33.61/33.87 (step @p156 :rule bool-double-not-elim :args (@t75)) % 33.61/33.87 (step @p157 :rule nary_cong :premises (@p150 @p156) :args ((or @t77 (not @t76)))) % 33.61/33.87 (step @p158 :rule cnf_or_neg :args (@t77 0)) % 33.61/33.87 (step @p159 :rule eq_resolve :premises (@p158 @p157)) % 33.61/33.87 (step @p160 :rule reordering :premises (@p159) :args ((or @t75 @t77))) % 33.61/33.87 (step @p161 :rule chain_m_resolution :premises (@p160 @p45) :args (@t75 @t78 @t79)) % 33.61/33.87 (step @p162 :rule cnf_or_pos :args (@t128)) % 33.61/33.87 (step @p163 :rule reordering :premises (@p162) :args ((or @t76 @t74 @t127 (not @t128)))) % 33.61/33.87 (step @p164 :rule chain_m_resolution :premises (@p163 @p161 @p155 @p148) :args (@t127 (@list false false false) (@list @t75 @t73 @t128))) % 33.61/33.87 (step @p165 :rule cnf_and_pos :args (@t127 1)) % 33.61/33.87 (step @p166 :rule reordering :premises (@p165) :args ((or @t117 (not @t127)))) % 33.61/33.87 (step @p167 :rule chain_m_resolution :premises (@p166 @p164) :args (@t117 @t88 (@list @t127))) % 33.61/33.87 (step @p168 :rule bool-impl-elim :args (@t9 @t21)) % 33.61/33.87 (step @p169 :rule cong :premises (@p168) :args (@t22)) % 33.61/33.87 (step @p170 :rule eq_resolve :premises (@p8 @p169)) % 33.61/33.87 (step @p171 :rule instantiate :premises (@p170) :args (@t126)) % 33.61/33.87 (step @p172 :rule cnf_or_pos :args (@t129)) % 33.61/33.87 (step @p173 :rule reordering :premises (@p172) :args ((or @t76 @t119 (not @t129)))) % 33.61/33.87 (step @p174 :rule chain_m_resolution :premises (@p173 @p161 @p171) :args (@t119 @t130 (@list @t75 @t129))) % 33.61/33.87 (step @p175 :rule cnf_or_pos :args (@t123)) % 33.61/33.87 (step @p176 :rule reordering :premises (@p175) :args ((or @t76 @t74 @t120 @t118 @t112 (not @t123)))) % 33.61/33.87 (step @p177 :rule chain_m_resolution :premises (@p176 @p161 @p155 @p174 @p167 @p138) :args (@t112 (@list false false false false false) (@list @t75 @t73 @t119 @t117 @t123))) % 33.61/33.87 (step @p178 :rule cnf_and_pos :args (@t112 0)) % 33.61/33.87 (step @p179 :rule reordering :premises (@p178) :args ((or @t84 (not @t112)))) % 33.61/33.87 (step @p180 :rule chain_m_resolution :premises (@p179 @p177) :args (@t84 @t88 (@list @t112))) % 33.61/33.87 (step @p181 :rule cnf_equiv_pos1 :args (@t87)) % 33.61/33.87 (step @p182 :rule reordering :premises (@p181) :args ((or (not @t84) @t82 (not @t87)))) % 33.61/33.87 (step @p183 :rule chain_m_resolution :premises (@p182 @p180 @p68) :args (@t82 @t130 (@list @t84 @t87))) % 33.61/33.87 (assume-push @p195 @t82) % 33.61/33.87 (step @p185 :rule instantiate :premises (@p183) :args ((@list @t67))) % 33.61/33.87 (step-pop @p196 :rule scope :premises (@p185)) % 33.61/33.87 (step @p186 :rule process_scope :premises (@p196) :args (@t72)) % 33.61/33.87 (step @p188 :rule implies_elim :premises (@p186)) % 33.61/33.87 (step @p189 :rule reordering :premises (@p188) :args ((or @t72 (not @t82)))) % 33.61/33.87 (step @p190 false :rule chain_m_resolution :premises (@p189 @p183 @p47) :args (false (@list false true) (@list @t82 @t72))) % 33.61/33.87 ) % 33.61/33.87 % SZS output end Proof % 33.61/33.87 % cvc5 exiting %------------------------------------------------------------------------------