%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU019+1 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n003.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 08:50:28 AM UTC 2026 % Result : Theorem 0.38s 0.69s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEU019+1 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n003.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 16:23:59 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.69 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.69 % SZS status Theorem % 0.38/0.69 % SZS output start Proof % 0.38/0.69 ( % 0.38/0.69 (declare-sort $$unsorted 0) % 0.38/0.69 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.38/0.69 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.38/0.69 (declare-const tptp.empty_set $$unsorted) % 0.38/0.69 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.38/0.69 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.38/0.69 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.69 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 0.38/0.69 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.38/0.69 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 0.38/0.69 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.38/0.69 (declare-const tptp.function (-> $$unsorted Bool)) % 0.38/0.69 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.69 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.38/0.69 (define @t1 () (@var "A" $$unsorted)) % 0.38/0.69 (define @t2 () (@var "B" $$unsorted)) % 0.38/0.69 (define @t3 () (tptp.in @t1 @t2)) % 0.38/0.69 (define @t4 () (@list @t1 @t2)) % 0.38/0.69 (define @t5 () (tptp.function @t1)) % 0.38/0.69 (define @t6 () (tptp.empty @t1)) % 0.38/0.69 (define @t7 () (@list @t1)) % 0.38/0.69 (define @t8 () (tptp.relation @t1)) % 0.38/0.69 (define @t9 () (@var "C" $$unsorted)) % 0.38/0.69 (define @t10 () (= @t2 @t9)) % 0.38/0.69 (define @t11 () (= (tptp.apply @t1 @t2) (tptp.apply @t1 @t9))) % 0.38/0.69 (define @t12 () (tptp.relation_dom @t1)) % 0.38/0.69 (define @t13 () (tptp.in @t9 @t12)) % 0.38/0.69 (define @t14 () (tptp.in @t2 @t12)) % 0.38/0.69 (define @t15 () (and @t14 @t13 @t11)) % 0.38/0.69 (define @t16 () (@list @t2 @t9)) % 0.38/0.69 (define @t17 () (forall @t16 (=> @t15 @t10))) % 0.38/0.69 (define @t18 () (tptp.one_to_one @t1)) % 0.38/0.69 (define @t19 () (= @t18 @t17)) % 0.38/0.69 (define @t20 () (and @t8 @t5)) % 0.38/0.69 (define @t21 () (=> @t20 @t19)) % 0.38/0.69 (define @t22 () (forall @t7 @t21)) % 0.38/0.69 (define @t23 () (tptp.identity_relation @t1)) % 0.38/0.69 (define @t24 () (tptp.relation @t23)) % 0.38/0.69 (define @t25 () (forall @t7 @t24)) % 0.38/0.69 (define @t26 () (@list @t2)) % 0.38/0.69 (define @t27 () (tptp.relation tptp.empty_set)) % 0.38/0.69 (define @t28 () (tptp.empty tptp.empty_set)) % 0.38/0.69 (define @t29 () (tptp.powerset @t1)) % 0.38/0.69 (define @t30 () (tptp.function @t23)) % 0.38/0.69 (define @t31 () (forall @t7 (and @t24 @t30))) % 0.38/0.69 (define @t32 () (tptp.empty @t12)) % 0.38/0.69 (define @t33 () (not @t6)) % 0.38/0.69 (define @t34 () (and @t33 @t8)) % 0.38/0.69 (define @t35 () (tptp.empty @t2)) % 0.38/0.69 (define @t36 () (tptp.element @t2 @t29)) % 0.38/0.69 (define @t37 () (tptp.element @t1 @t2)) % 0.38/0.69 (define @t38 () (tptp.apply @t2 @t9)) % 0.38/0.69 (define @t39 () (tptp.in @t9 @t1)) % 0.38/0.69 (define @t40 () (=> @t39 (= @t38 @t9))) % 0.38/0.69 (define @t41 () (@list @t9)) % 0.38/0.69 (define @t42 () (forall @t41 @t40)) % 0.38/0.69 (define @t43 () (tptp.relation_dom @t2)) % 0.38/0.69 (define @t44 () (and (= @t43 @t1) @t42)) % 0.38/0.69 (define @t45 () (= @t2 @t23)) % 0.38/0.69 (define @t46 () (= @t45 @t44)) % 0.38/0.69 (define @t47 () (tptp.function @t2)) % 0.38/0.69 (define @t48 () (tptp.relation @t2)) % 0.38/0.69 (define @t49 () (and @t48 @t47)) % 0.38/0.69 (define @t50 () (=> @t49 @t46)) % 0.38/0.69 (define @t51 () (forall @t4 @t50)) % 0.38/0.69 (define @t52 () (tptp.element @t2 (tptp.powerset @t9))) % 0.38/0.69 (define @t53 () (@list @t1 @t2 @t9)) % 0.38/0.69 (define @t54 () (forall @t7 (tptp.one_to_one @t23))) % 0.38/0.69 (define @t55 () (not @t11)) % 0.38/0.69 (define @t56 () (not @t13)) % 0.38/0.69 (define @t57 () (not @t14)) % 0.38/0.69 (define @t58 () (or @t57 @t56 @t55 @t10)) % 0.38/0.69 (define @t59 () (= @t18 (forall @t16 @t58))) % 0.38/0.69 (define @t60 () (not @t5)) % 0.38/0.69 (define @t61 () (not @t8)) % 0.38/0.69 (define @t62 () (or @t57 @t56 @t55)) % 0.38/0.69 (define @t63 () (@quantifiers_skolemize @t54 0)) % 0.38/0.69 (define @t64 () (tptp.identity_relation @t63)) % 0.38/0.69 (define @t65 () (forall @t7 @t30)) % 0.38/0.69 (define @t66 () (@list @t1)) % 0.38/0.69 (define @t67 () (and @t25 @t65)) % 0.38/0.69 (define @t68 () (@list @t63)) % 0.38/0.69 (define @t69 () (tptp.apply @t64 @t9)) % 0.38/0.69 (define @t70 () (tptp.relation_dom @t64)) % 0.38/0.69 (define @t71 () (forall @t16 (or (not (tptp.in @t2 @t70)) (not (tptp.in @t9 @t70)) (not (= (tptp.apply @t64 @t2) @t69)) @t10))) % 0.38/0.69 (define @t72 () (tptp.one_to_one @t64)) % 0.38/0.69 (define @t73 () (= @t72 @t71)) % 0.38/0.69 (define @t74 () (tptp.function @t64)) % 0.38/0.69 (define @t75 () (not @t74)) % 0.38/0.69 (define @t76 () (tptp.relation @t64)) % 0.38/0.69 (define @t77 () (not @t76)) % 0.38/0.69 (define @t78 () (or @t77 @t75 @t73)) % 0.38/0.69 (define @t79 () (@list false false false)) % 0.38/0.69 (define @t80 () (not @t71)) % 0.38/0.69 (define @t81 () (@quantifiers_skolemize @t71 1)) % 0.38/0.69 (define @t82 () (tptp.apply @t64 @t81)) % 0.38/0.69 (define @t83 () (@quantifiers_skolemize @t71 0)) % 0.38/0.69 (define @t84 () (tptp.apply @t64 @t83)) % 0.38/0.69 (define @t85 () (= @t84 @t82)) % 0.38/0.69 (define @t86 () (= @t83 @t81)) % 0.38/0.69 (define @t87 () (not @t85)) % 0.38/0.69 (define @t88 () (tptp.in @t81 @t70)) % 0.38/0.69 (define @t89 () (not @t88)) % 0.38/0.69 (define @t90 () (tptp.in @t83 @t70)) % 0.38/0.69 (define @t91 () (not @t90)) % 0.38/0.69 (define @t92 () (or @t91 @t89 @t87 @t86)) % 0.38/0.69 (define @t93 () (@list true)) % 0.38/0.69 (define @t94 () (@list @t92)) % 0.38/0.69 (define @t95 () (not @t86)) % 0.38/0.69 (define @t96 () (= @t9 @t38)) % 0.38/0.69 (define @t97 () (= @t45 (and (= @t1 @t43) (forall @t41 (or (not @t39) @t96))))) % 0.38/0.69 (define @t98 () (not @t47)) % 0.38/0.69 (define @t99 () (not @t48)) % 0.38/0.69 (define @t100 () (or @t99 @t98 @t97)) % 0.38/0.69 (define @t101 () (forall @t41 (or (not (tptp.in @t9 @t63)) (= @t9 @t69)))) % 0.38/0.69 (define @t102 () (= @t63 @t70)) % 0.38/0.69 (define @t103 () (and @t102 @t101)) % 0.38/0.69 (define @t104 () (= (= @t64 @t64) @t103)) % 0.38/0.69 (define @t105 () (or @t77 @t75 @t104)) % 0.38/0.69 (define @t106 () (forall @t4 @t100)) % 0.38/0.69 (define @t107 () (or @t77 @t75 @t103)) % 0.38/0.69 (define @t108 () (@list false)) % 0.38/0.69 (define @t109 () (not @t103)) % 0.38/0.69 (define @t110 () (@list @t103)) % 0.38/0.69 (define @t111 () (tptp.in @t81 @t63)) % 0.38/0.69 (define @t112 () (= @t81 @t82)) % 0.38/0.69 (define @t113 () (not @t111)) % 0.38/0.69 (define @t114 () (or @t113 @t112)) % 0.38/0.69 (define @t115 () (@list false false)) % 0.38/0.69 (define @t116 () (tptp.in @t83 @t63)) % 0.38/0.69 (define @t117 () (= @t83 @t84)) % 0.38/0.69 (define @t118 () (not @t116)) % 0.38/0.69 (define @t119 () (or @t118 @t117)) % 0.38/0.69 (define @t120 () (not @t117)) % 0.38/0.69 (define @t121 () (not @t112)) % 0.38/0.69 (define @t122 () (and @t85 @t95 @t112)) % 0.38/0.69 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.38/0.69 (assume @p2 (forall @t7 (=> @t6 @t5))) % 0.38/0.69 (assume @p3 (forall @t7 (=> @t6 @t8))) % 0.38/0.69 (assume @p4 @t22) % 0.38/0.69 (assume @p5 @t25) % 0.38/0.69 (assume @p6 (forall @t7 (exists @t26 (tptp.element @t2 @t1)))) % 0.38/0.69 (assume @p7 (and @t28 @t27 (tptp.relation_empty_yielding tptp.empty_set))) % 0.38/0.69 (assume @p8 (forall @t7 (not (tptp.empty @t29)))) % 0.38/0.69 (assume @p9 @t28) % 0.38/0.69 (assume @p10 @t31) % 0.38/0.69 (assume @p11 (and @t28 @t27)) % 0.38/0.69 (assume @p12 (forall @t7 (=> @t34 (not @t32)))) % 0.38/0.69 (assume @p13 (forall @t7 (=> @t6 (and @t32 (tptp.relation @t12))))) % 0.38/0.69 (assume @p14 (exists @t7 @t20)) % 0.38/0.69 (assume @p15 (exists @t7 (and @t6 @t8))) % 0.38/0.69 (assume @p16 (forall @t7 (=> @t33 (exists @t26 (and @t36 (not @t35)))))) % 0.38/0.69 (assume @p17 (exists @t7 @t6)) % 0.38/0.69 (assume @p18 (exists @t7 @t34)) % 0.38/0.69 (assume @p19 (forall @t7 (exists @t26 (and @t36 @t35)))) % 0.38/0.69 (assume @p20 (exists @t7 @t33)) % 0.38/0.69 (assume @p21 (exists @t7 (and @t8 (tptp.relation_empty_yielding @t1)))) % 0.38/0.69 (assume @p22 (forall @t4 (tptp.subset @t1 @t1))) % 0.38/0.69 (assume @p23 (forall @t4 (=> @t3 @t37))) % 0.38/0.69 (assume @p24 (forall @t4 (=> @t37 (or @t35 @t3)))) % 0.38/0.69 (assume @p25 @t51) % 0.38/0.69 (assume @p26 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 0.38/0.69 (assume @p27 (forall @t53 (=> (and @t3 @t52) (tptp.element @t1 @t9)))) % 0.38/0.69 (assume @p28 (not @t54)) % 0.38/0.69 (assume @p29 (forall @t53 (not (and @t3 @t52 (tptp.empty @t9))))) % 0.38/0.69 (assume @p30 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 0.38/0.69 (assume @p31 (forall @t4 (not (and @t3 @t35)))) % 0.38/0.69 (assume @p32 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t35)))) % 0.38/0.69 (assume @p33 true) % 0.38/0.69 (step @p34 :rule aci_norm :args ((= (or (or @t61 @t60) @t59) (or @t61 @t60 @t59)))) % 0.38/0.69 (step @p35 :rule refl :args (@t59)) % 0.38/0.69 (step @p36 :rule bool-and-de-morgan :args (@t8 @t5 true)) % 0.38/0.69 (step @p37 :rule nary_cong :premises (@p36 @p35) :args ((or (not @t20) @t59))) % 0.38/0.69 (step @p38 :rule trans :premises (@p37 @p34)) % 0.38/0.69 (step @p39 :rule bool-impl-elim :args (@t20 @t59)) % 0.38/0.69 (step @p40 :rule trans :premises (@p39 @p38)) % 0.38/0.69 (step @p41 :rule cong :premises (@p40) :args ((forall @t7 (=> @t20 @t59)))) % 0.38/0.69 (step @p42 :rule aci_norm :args ((= (or @t62 @t10) @t58))) % 0.38/0.69 (step @p43 :rule refl :args (@t10)) % 0.38/0.69 (step @p44 :rule aci_norm :args ((= (or @t57 (or @t56 @t55)) @t62))) % 0.38/0.69 (step @p45 :rule bool-and-de-morgan :args (@t13 @t11 true)) % 0.38/0.69 (step @p46 :rule refl :args (@t57)) % 0.38/0.69 (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or @t57 (not (and @t13 @t11))))) % 0.38/0.69 (step @p48 :rule bool-and-de-morgan :args (@t14 @t13 (and @t11))) % 0.38/0.69 (step @p49 :rule trans :premises (@p48 @p47)) % 0.38/0.69 (step @p50 :rule trans :premises (@p49 @p44)) % 0.38/0.69 (step @p51 :rule nary_cong :premises (@p50 @p43) :args ((or (not @t15) @t10))) % 0.38/0.69 (step @p52 :rule trans :premises (@p51 @p42)) % 0.38/0.69 (step @p53 :rule bool-impl-elim :args (@t15 @t10)) % 0.38/0.69 (step @p54 :rule trans :premises (@p53 @p52)) % 0.38/0.69 (step @p55 :rule cong :premises (@p54) :args (@t17)) % 0.38/0.69 (step @p56 :rule refl :args (@t18)) % 0.38/0.69 (step @p57 :rule cong :premises (@p56 @p55) :args (@t19)) % 0.38/0.69 (step @p58 :rule refl :args (@t20)) % 0.38/0.69 (step @p59 :rule cong :premises (@p58 @p57) :args (@t21)) % 0.38/0.69 (step @p60 :rule cong :premises (@p59) :args (@t22)) % 0.38/0.69 (step @p61 :rule trans :premises (@p60 @p41)) % 0.38/0.69 (step @p62 :rule eq_resolve :premises (@p4 @p61)) % 0.38/0.69 (step @p63 :rule instantiate :premises (@p62) :args ((@list @t64))) % 0.38/0.69 (step @p64 :rule alpha_equiv :args (@t65 @t66 (@list (@var "BOUND_VARIABLE_7597" $$unsorted)))) % 0.38/0.69 (step @p65 :rule alpha_equiv :args (@t25 @t66 (@list (@var "BOUND_VARIABLE_7591" $$unsorted)))) % 0.38/0.69 (step @p66 :rule nary_cong :premises (@p65 @p64) :args (@t67)) % 0.38/0.69 (step @p67 :rule quant-miniscope-and :args ((= @t31 @t67))) % 0.38/0.69 (step @p68 :rule trans :premises (@p67 @p66)) % 0.38/0.69 (step @p69 :rule eq_resolve :premises (@p10 @p68)) % 0.38/0.69 (step @p70 :rule and_elim :premises (@p69) :args (1)) % 0.38/0.69 (step @p71 :rule instantiate :premises (@p70) :args (@t68)) % 0.38/0.69 (step @p72 :rule instantiate :premises (@p5) :args (@t68)) % 0.38/0.69 (step @p73 :rule cnf_or_pos :args (@t78)) % 0.38/0.69 (step @p74 :rule reordering :premises (@p73) :args ((or @t77 @t75 @t73 (not @t78)))) % 0.38/0.69 (step @p75 :rule chain_m_resolution :premises (@p74 @p72 @p71 @p63) :args (@t73 @t79 (@list @t76 @t74 @t78))) % 0.38/0.69 (step @p76 :rule skolemize :premises (@p28)) % 0.38/0.69 (step @p77 :rule cnf_equiv_pos2 :args (@t73)) % 0.38/0.69 (step @p78 :rule reordering :premises (@p77) :args ((or @t72 @t80 (not @t73)))) % 0.38/0.69 (step @p79 :rule chain_m_resolution :premises (@p78 @p76 @p75) :args (@t80 (@list true false) (@list @t72 @t73))) % 0.38/0.69 (step @p80 :rule skolemize :premises (@p79)) % 0.38/0.69 (step @p81 :rule bool-double-not-elim :args (@t85)) % 0.38/0.69 (step @p82 :rule refl :args (@t92)) % 0.38/0.69 (step @p83 :rule nary_cong :premises (@p82 @p81) :args ((or @t92 (not @t87)))) % 0.38/0.69 (step @p84 :rule cnf_or_neg :args (@t92 2)) % 0.38/0.69 (step @p85 :rule eq_resolve :premises (@p84 @p83)) % 0.38/0.69 (step @p86 :rule reordering :premises (@p85) :args ((or @t85 @t92))) % 0.38/0.69 (step @p87 :rule chain_m_resolution :premises (@p86 @p80) :args (@t85 @t93 @t94)) % 0.38/0.69 (step @p88 :rule cnf_or_neg :args (@t92 3)) % 0.38/0.69 (step @p89 :rule chain_m_resolution :premises (@p88 @p80) :args (@t95 @t93 @t94)) % 0.38/0.69 (step @p90 :rule aci_norm :args ((= (or (or @t99 @t98) @t97) @t100))) % 0.38/0.69 (step @p91 :rule refl :args (@t97)) % 0.38/0.69 (step @p92 :rule bool-and-de-morgan :args (@t48 @t47 true)) % 0.38/0.69 (step @p93 :rule nary_cong :premises (@p92 @p91) :args ((or (not @t49) @t97))) % 0.38/0.69 (step @p94 :rule trans :premises (@p93 @p90)) % 0.38/0.69 (step @p95 :rule bool-impl-elim :args (@t49 @t97)) % 0.38/0.69 (step @p96 :rule trans :premises (@p95 @p94)) % 0.38/0.69 (step @p97 :rule cong :premises (@p96) :args ((forall @t4 (=> @t49 @t97)))) % 0.38/0.69 (step @p98 :rule bool-impl-elim :args (@t39 @t96)) % 0.38/0.69 (step @p99 :rule cong :premises (@p98) :args ((forall @t41 (=> @t39 @t96)))) % 0.38/0.69 (step @p100 :rule eq-symm :args (@t38 @t9)) % 0.38/0.69 (step @p101 :rule refl :args (@t39)) % 0.38/0.69 (step @p102 :rule cong :premises (@p101 @p100) :args (@t40)) % 0.38/0.69 (step @p103 :rule cong :premises (@p102) :args (@t42)) % 0.38/0.69 (step @p104 :rule trans :premises (@p103 @p99)) % 0.38/0.69 (step @p105 :rule eq-symm :args (@t43 @t1)) % 0.38/0.69 (step @p106 :rule nary_cong :premises (@p105 @p104) :args (@t44)) % 0.38/0.69 (step @p107 :rule refl :args (@t45)) % 0.38/0.69 (step @p108 :rule cong :premises (@p107 @p106) :args (@t46)) % 0.38/0.69 (step @p109 :rule refl :args (@t49)) % 0.38/0.69 (step @p110 :rule cong :premises (@p109 @p108) :args (@t50)) % 0.38/0.69 (step @p111 :rule cong :premises (@p110) :args (@t51)) % 0.38/0.69 (step @p112 :rule trans :premises (@p111 @p97)) % 0.38/0.69 (step @p113 :rule eq_resolve :premises (@p25 @p112)) % 0.38/0.69 (step @p114 :rule bool-eq-true :args (@t103)) % 0.38/0.69 (step @p115 :rule eq-symm :args (true @t103)) % 0.38/0.69 (step @p116 :rule trans :premises (@p115 @p114)) % 0.38/0.69 (step @p117 :rule refl :args (@t103)) % 0.38/0.69 (step @p118 :rule eq-refl :args (@t64)) % 0.38/0.69 (step @p119 :rule cong :premises (@p118 @p117) :args (@t104)) % 0.38/0.69 (step @p120 :rule trans :premises (@p119 @p116)) % 0.38/0.69 (step @p121 :rule refl :args (@t75)) % 0.38/0.69 (step @p122 :rule refl :args (@t77)) % 0.38/0.69 (step @p123 :rule nary_cong :premises (@p122 @p121 @p120) :args (@t105)) % 0.38/0.69 (step @p124 :rule refl :args (@t106)) % 0.38/0.69 (step @p125 :rule cong :premises (@p124 @p123) :args ((=> @t106 @t105))) % 0.38/0.69 (assume-push @p196 @t106) % 0.38/0.69 (step @p127 :rule instantiate :premises (@p113) :args ((@list @t63 @t64))) % 0.38/0.69 (step-pop @p197 :rule scope :premises (@p127)) % 0.38/0.69 (step @p128 :rule process_scope :premises (@p197) :args (@t105)) % 0.38/0.69 (step @p130 :rule eq_resolve :premises (@p128 @p125)) % 0.38/0.69 (step @p131 :rule implies_elim :premises (@p130)) % 0.38/0.69 (step @p132 :rule chain_m_resolution :premises (@p131 @p113) :args (@t107 @t108 (@list @t106))) % 0.38/0.69 (step @p133 :rule cnf_or_pos :args (@t107)) % 0.38/0.69 (step @p134 :rule reordering :premises (@p133) :args ((or @t77 @t75 @t103 (not @t107)))) % 0.38/0.69 (step @p135 :rule chain_m_resolution :premises (@p134 @p72 @p71 @p132) :args (@t103 @t79 (@list @t76 @t74 @t107))) % 0.38/0.69 (step @p136 :rule cnf_and_pos :args (@t103 1)) % 0.38/0.69 (step @p137 :rule reordering :premises (@p136) :args ((or @t101 @t109))) % 0.38/0.69 (step @p138 :rule chain_m_resolution :premises (@p137 @p135) :args (@t101 @t108 @t110)) % 0.38/0.69 (step @p139 :rule instantiate :premises (@p138) :args ((@list @t81))) % 0.38/0.69 (step @p140 :rule bool-double-not-elim :args (@t88)) % 0.38/0.69 (step @p141 :rule nary_cong :premises (@p82 @p140) :args ((or @t92 (not @t89)))) % 0.38/0.69 (step @p142 :rule cnf_or_neg :args (@t92 1)) % 0.38/0.69 (step @p143 :rule eq_resolve :premises (@p142 @p141)) % 0.38/0.69 (step @p144 :rule reordering :premises (@p143) :args ((or @t88 @t92))) % 0.38/0.69 (step @p145 :rule chain_m_resolution :premises (@p144 @p80) :args (@t88 @t93 @t94)) % 0.38/0.69 (step @p146 :rule true_intro :premises (@p145)) % 0.38/0.69 (step @p147 :rule cnf_and_pos :args (@t103 0)) % 0.38/0.69 (step @p148 :rule reordering :premises (@p147) :args ((or @t102 @t109))) % 0.38/0.69 (step @p149 :rule chain_m_resolution :premises (@p148 @p135) :args (@t102 @t108 @t110)) % 0.38/0.69 (step @p150 :rule refl :args (@t81)) % 0.38/0.69 (step @p151 :rule cong :premises (@p150 @p149) :args (@t111)) % 0.38/0.69 (step @p152 :rule trans :premises (@p151 @p146)) % 0.38/0.69 (step @p153 :rule true_elim :premises (@p152)) % 0.38/0.69 (step @p154 :rule cnf_or_pos :args (@t114)) % 0.38/0.69 (step @p155 :rule reordering :premises (@p154) :args ((or @t113 @t112 (not @t114)))) % 0.38/0.69 (step @p156 :rule chain_m_resolution :premises (@p155 @p153 @p139) :args (@t112 @t115 (@list @t111 @t114))) % 0.38/0.69 (step @p157 :rule instantiate :premises (@p138) :args ((@list @t83))) % 0.38/0.69 (step @p158 :rule bool-double-not-elim :args (@t90)) % 0.38/0.69 (step @p159 :rule nary_cong :premises (@p82 @p158) :args ((or @t92 (not @t91)))) % 0.38/0.69 (step @p160 :rule cnf_or_neg :args (@t92 0)) % 0.38/0.69 (step @p161 :rule eq_resolve :premises (@p160 @p159)) % 0.38/0.69 (step @p162 :rule reordering :premises (@p161) :args ((or @t90 @t92))) % 0.38/0.69 (step @p163 :rule chain_m_resolution :premises (@p162 @p80) :args (@t90 @t93 @t94)) % 0.38/0.69 (step @p164 :rule true_intro :premises (@p163)) % 0.38/0.69 (step @p165 :rule refl :args (@t83)) % 0.38/0.69 (step @p166 :rule cong :premises (@p165 @p149) :args (@t116)) % 0.38/0.69 (step @p167 :rule trans :premises (@p166 @p164)) % 0.38/0.69 (step @p168 :rule true_elim :premises (@p167)) % 0.38/0.69 (step @p169 :rule cnf_or_pos :args (@t119)) % 0.38/0.69 (step @p170 :rule reordering :premises (@p169) :args ((or @t118 @t117 (not @t119)))) % 0.38/0.69 (step @p171 :rule chain_m_resolution :premises (@p170 @p168 @p157) :args (@t117 @t115 (@list @t116 @t119))) % 0.38/0.69 (step @p172 :rule refl :args (@t120)) % 0.38/0.69 (step @p173 :rule refl :args (@t121)) % 0.38/0.69 (step @p174 :rule bool-double-not-elim :args (@t86)) % 0.38/0.69 (step @p175 :rule refl :args (@t87)) % 0.38/0.69 (step @p176 :rule nary_cong :premises (@p175 @p174 @p173 @p172) :args ((or @t87 (not @t95) @t121 @t120))) % 0.38/0.69 (assume-push @p198 @t85) % 0.38/0.69 (assume-push @p199 @t95) % 0.38/0.69 (assume-push @p200 @t112) % 0.38/0.69 (step @p180 :rule false_intro :premises (@p89)) % 0.38/0.69 (step @p181 :rule symm :premises (@p156)) % 0.38/0.69 (step @p182 :rule trans :premises (@p87 @p181)) % 0.38/0.69 (step @p183 :rule cong :premises (@p165 @p182) :args (@t117)) % 0.38/0.69 (step @p184 :rule trans :premises (@p183 @p180)) % 0.38/0.69 (step @p185 :rule false_elim :premises (@p184)) % 0.38/0.69 (step-pop @p201 :rule scope :premises (@p185)) % 0.38/0.69 (step-pop @p202 :rule scope :premises (@p201)) % 0.38/0.69 (step-pop @p203 :rule scope :premises (@p202)) % 0.38/0.69 (step @p186 :rule process_scope :premises (@p203) :args (@t120)) % 0.38/0.69 (step @p190 :rule implies_elim :premises (@p186)) % 0.38/0.69 (step @p191 :rule cnf_and_neg :args (@t122)) % 0.38/0.69 (step @p192 :rule resolution :premises (@p191 @p190) :args (true @t122)) % 0.38/0.69 (step @p193 :rule eq_resolve :premises (@p192 @p176)) % 0.38/0.69 (step @p194 :rule reordering :premises (@p193) :args ((or @t87 @t86 @t120 @t121))) % 0.38/0.69 (step @p195 false :rule chain_m_resolution :premises (@p194 @p171 @p156 @p89 @p87) :args (false (@list false false true false) (@list @t117 @t112 @t86 @t85))) % 0.38/0.69 ) % 0.38/0.69 % SZS output end Proof % 0.38/0.69 % cvc5 exiting %------------------------------------------------------------------------------