%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU634^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n015.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 08:52:30 AM UTC 2026 % Result : Theorem 0.39s 0.56s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU634^2 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n015.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 17:44:04 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.48 %----Proving TH0 % 0.39/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.39/0.56 % SZS status Theorem % 0.39/0.56 % SZS output start Proof % 0.39/0.56 ( % 0.39/0.56 (declare-sort $$unsorted 0) % 0.39/0.56 (declare-const tptp.setunionE2 Bool) % 0.39/0.56 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.39/0.56 (declare-const tptp.uniqinunit Bool) % 0.39/0.56 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.56 (declare-const tptp.subsetI2 Bool) % 0.39/0.56 (declare-const tptp.emptyset $$unsorted) % 0.39/0.56 (define @t1 () (@var "Xy" $$unsorted)) % 0.39/0.56 (define @t2 () (@var "Xx" $$unsorted)) % 0.39/0.56 (define @t3 () (= @t2 @t1)) % 0.39/0.56 (define @t4 () (_ (_ tptp.setadjoin @t1) tptp.emptyset)) % 0.39/0.56 (define @t5 () (_ tptp.in @t2)) % 0.39/0.56 (define @t6 () (_ @t5 @t4)) % 0.39/0.56 (define @t7 () (@list @t2 @t1)) % 0.39/0.56 (define @t8 () (forall @t7 (=> @t6 @t3))) % 0.39/0.56 (define @t9 () (= tptp.uniqinunit @t8)) % 0.39/0.56 (define @t10 () (@var "B" $$unsorted)) % 0.39/0.56 (define @t11 () (@var "A" $$unsorted)) % 0.39/0.56 (define @t12 () (_ (_ tptp.subset @t11) @t10)) % 0.39/0.56 (define @t13 () (_ @t5 @t10)) % 0.39/0.56 (define @t14 () (_ @t5 @t11)) % 0.39/0.56 (define @t15 () (@list @t2)) % 0.39/0.56 (define @t16 () (forall @t15 (=> @t14 @t13))) % 0.39/0.56 (define @t17 () (=> @t16 @t12)) % 0.39/0.56 (define @t18 () (@list @t11 @t10)) % 0.39/0.56 (define @t19 () (forall @t18 @t17)) % 0.39/0.56 (define @t20 () (= tptp.subsetI2 @t19)) % 0.39/0.56 (define @t21 () (@var "X" $$unsorted)) % 0.39/0.56 (define @t22 () (_ @t5 @t21)) % 0.39/0.56 (define @t23 () (_ (_ tptp.in @t21) @t11)) % 0.39/0.56 (define @t24 () (and @t23 @t22)) % 0.39/0.56 (define @t25 () (@list @t21)) % 0.39/0.56 (define @t26 () (exists @t25 @t24)) % 0.39/0.56 (define @t27 () (_ tptp.setunion @t11)) % 0.39/0.56 (define @t28 () (_ @t5 @t27)) % 0.39/0.56 (define @t29 () (=> @t28 @t26)) % 0.39/0.56 (define @t30 () (@list @t11 @t2)) % 0.39/0.56 (define @t31 () (forall @t30 @t29)) % 0.39/0.56 (define @t32 () (= tptp.setunionE2 @t31)) % 0.39/0.56 (define @t33 () (_ (_ tptp.setadjoin @t11) tptp.emptyset)) % 0.39/0.56 (define @t34 () (_ tptp.setunion @t33)) % 0.39/0.56 (define @t35 () (_ (_ tptp.subset @t34) @t11)) % 0.39/0.56 (define @t36 () (@list @t11)) % 0.39/0.56 (define @t37 () (forall @t36 @t35)) % 0.39/0.56 (define @t38 () (=> tptp.setunionE2 @t37)) % 0.39/0.56 (define @t39 () (=> tptp.subsetI2 @t38)) % 0.39/0.56 (define @t40 () (=> tptp.uniqinunit @t39)) % 0.39/0.56 (define @t41 () (not @t40)) % 0.39/0.56 (define @t42 () (tptp.setadjoin @t11 tptp.emptyset)) % 0.39/0.56 (define @t43 () (tptp.setunion @t42)) % 0.39/0.56 (define @t44 () (tptp.subset @t43 @t11)) % 0.39/0.56 (define @t45 () (forall @t36 @t44)) % 0.39/0.56 (define @t46 () (tptp.in @t2 @t21)) % 0.39/0.56 (define @t47 () (tptp.in @t21 @t11)) % 0.39/0.56 (define @t48 () (not (forall @t25 (or (not @t47) (not @t46))))) % 0.39/0.56 (define @t49 () (tptp.setunion @t11)) % 0.39/0.56 (define @t50 () (tptp.in @t2 @t49)) % 0.39/0.56 (define @t51 () (not @t28)) % 0.39/0.56 (define @t52 () (or @t51 @t48)) % 0.39/0.56 (define @t53 () (not @t22)) % 0.39/0.56 (define @t54 () (not @t23)) % 0.39/0.56 (define @t55 () (or @t54 @t53)) % 0.39/0.56 (define @t56 () (forall @t25 (not @t24))) % 0.39/0.56 (define @t57 () (not @t56)) % 0.39/0.56 (define @t58 () (=> tptp.setunionE2 @t45)) % 0.39/0.56 (define @t59 () (tptp.subset @t11 @t10)) % 0.39/0.56 (define @t60 () (tptp.in @t2 @t10)) % 0.39/0.56 (define @t61 () (tptp.in @t2 @t11)) % 0.39/0.56 (define @t62 () (forall @t15 (or (not @t61) @t60))) % 0.39/0.56 (define @t63 () (not @t62)) % 0.39/0.56 (define @t64 () (or @t63 @t12)) % 0.39/0.56 (define @t65 () (not @t14)) % 0.39/0.56 (define @t66 () (or @t65 @t13)) % 0.39/0.56 (define @t67 () (=> tptp.subsetI2 @t58)) % 0.39/0.56 (define @t68 () (tptp.setadjoin @t1 tptp.emptyset)) % 0.39/0.56 (define @t69 () (tptp.in @t2 @t68)) % 0.39/0.56 (define @t70 () (not @t6)) % 0.39/0.56 (define @t71 () (or @t70 @t3)) % 0.39/0.56 (define @t72 () (=> tptp.uniqinunit @t67)) % 0.39/0.56 (define @t73 () (@quantifiers_skolemize @t45 0)) % 0.39/0.56 (define @t74 () (tptp.setadjoin @t73 tptp.emptyset)) % 0.39/0.56 (define @t75 () (tptp.setunion @t74)) % 0.39/0.56 (define @t76 () (tptp.subset @t75 @t73)) % 0.39/0.56 (define @t77 () (forall @t15 (or (not (tptp.in @t2 @t75)) (tptp.in @t2 @t73)))) % 0.39/0.56 (define @t78 () (not @t77)) % 0.39/0.56 (define @t79 () (or @t78 @t76)) % 0.39/0.56 (define @t80 () (@quantifiers_skolemize @t77 0)) % 0.39/0.56 (define @t81 () (tptp.in @t80 @t73)) % 0.39/0.56 (define @t82 () (tptp.in @t80 @t75)) % 0.39/0.56 (define @t83 () (not @t82)) % 0.39/0.56 (define @t84 () (or @t83 @t81)) % 0.39/0.56 (define @t85 () (@list true)) % 0.39/0.56 (define @t86 () (@list @t84)) % 0.39/0.56 (define @t87 () (forall @t25 (or (not (tptp.in @t21 @t74)) (not (tptp.in @t80 @t21))))) % 0.39/0.56 (define @t88 () (@quantifiers_skolemize @t87 0)) % 0.39/0.56 (define @t89 () (tptp.in @t88 @t74)) % 0.39/0.56 (define @t90 () (not @t89)) % 0.39/0.56 (define @t91 () (or @t90 (= @t88 @t73))) % 0.39/0.56 (define @t92 () (forall @t7 (or (not @t69) @t3))) % 0.39/0.56 (define @t93 () (= @t73 @t88)) % 0.39/0.56 (define @t94 () (or @t90 @t93)) % 0.39/0.56 (define @t95 () (not @t87)) % 0.39/0.56 (define @t96 () (or @t83 @t95)) % 0.39/0.56 (define @t97 () (@list false false)) % 0.39/0.56 (define @t98 () (tptp.in @t80 @t88)) % 0.39/0.56 (define @t99 () (not @t98)) % 0.39/0.56 (define @t100 () (or @t90 @t99)) % 0.39/0.56 (define @t101 () (@list @t100)) % 0.39/0.56 (assume @p1 @t9) % 0.39/0.56 (assume @p2 @t20) % 0.39/0.56 (assume @p3 @t32) % 0.39/0.56 (assume @p4 @t41) % 0.39/0.56 (assume @p5 true) % 0.39/0.56 (step @p6 :rule evaluate :args ((= true false))) % 0.39/0.56 (step @p7 :rule refl :args (@t45)) % 0.39/0.56 (step @p8 :rule refl :args (@t48)) % 0.39/0.56 (step @p9 :rule refl :args ((tptp.in @t2 @t27))) % 0.39/0.56 (step @p10 :rule refl :args (@t49)) % 0.39/0.56 (step @p11 :rule refl :args (@t2)) % 0.39/0.56 (step @p12 :rule cong :premises (@p11 @p10) :args (@t50)) % 0.39/0.56 (step @p13 :rule trans :premises (@p12 @p9)) % 0.39/0.56 (step @p14 :rule refl :args (@t5)) % 0.39/0.56 (step @p15 :rule ho_cong :premises (@p14 @p10)) % 0.39/0.56 (step @p16 :rule cong :premises (@p15 @p13) :args ((= (_ @t5 @t49) @t50))) % 0.39/0.56 (step @p17 :rule symm :premises (@p16)) % 0.39/0.56 (step @p18 :rule refl :args (@t28)) % 0.39/0.56 (step @p19 :rule eq_resolve :premises (@p18 @p17)) % 0.39/0.56 (step @p20 :rule refl :args (@t27)) % 0.39/0.56 (step @p21 :rule cong :premises (@p20 @p10) :args ((= @t27 @t49))) % 0.39/0.56 (step @p22 :rule symm :premises (@p21)) % 0.39/0.56 (step @p23 :rule eq_resolve :premises (@p20 @p22)) % 0.39/0.56 (step @p24 :rule ho_cong :premises (@p14 @p23)) % 0.39/0.56 (step @p25 :rule trans :premises (@p24 @p19)) % 0.39/0.56 (step @p26 :rule cong :premises (@p25) :args (@t51)) % 0.39/0.56 (step @p27 :rule nary_cong :premises (@p26 @p8) :args (@t52)) % 0.39/0.56 (step @p28 :rule cong :premises (@p27) :args ((forall @t30 @t52))) % 0.39/0.56 (step @p29 :rule bool-impl-elim :args (@t28 @t48)) % 0.39/0.56 (step @p30 :rule cong :premises (@p29) :args ((forall @t30 (=> @t28 @t48)))) % 0.39/0.56 (step @p31 :rule trans :premises (@p30 @p28)) % 0.39/0.56 (step @p32 :rule refl :args (@t46)) % 0.39/0.56 (step @p33 :rule refl :args (@t22)) % 0.39/0.56 (step @p34 :rule cong :premises (@p33 @p32) :args ((= @t22 @t46))) % 0.39/0.56 (step @p35 :rule symm :premises (@p34)) % 0.39/0.56 (step @p36 :rule eq_resolve :premises (@p33 @p35)) % 0.39/0.56 (step @p37 :rule cong :premises (@p36) :args (@t53)) % 0.39/0.56 (step @p38 :rule refl :args (@t47)) % 0.39/0.56 (step @p39 :rule refl :args (@t23)) % 0.39/0.56 (step @p40 :rule cong :premises (@p39 @p38) :args ((= @t23 @t47))) % 0.39/0.56 (step @p41 :rule symm :premises (@p40)) % 0.39/0.56 (step @p42 :rule eq_resolve :premises (@p39 @p41)) % 0.39/0.56 (step @p43 :rule cong :premises (@p42) :args (@t54)) % 0.39/0.56 (step @p44 :rule nary_cong :premises (@p43 @p37) :args (@t55)) % 0.39/0.56 (step @p45 :rule cong :premises (@p44) :args ((forall @t25 @t55))) % 0.39/0.56 (step @p46 :rule bool-and-de-morgan :args (@t23 @t22 true)) % 0.39/0.56 (step @p47 :rule cong :premises (@p46) :args (@t56)) % 0.39/0.56 (step @p48 :rule trans :premises (@p47 @p45)) % 0.39/0.56 (step @p49 :rule cong :premises (@p48) :args (@t57)) % 0.39/0.56 (step @p50 :rule exists-elim :args ((= @t26 @t57))) % 0.39/0.56 (step @p51 :rule trans :premises (@p50 @p49)) % 0.39/0.56 (step @p52 :rule refl :args (@t28)) % 0.39/0.56 (step @p53 :rule cong :premises (@p52 @p51) :args (@t29)) % 0.39/0.56 (step @p54 :rule cong :premises (@p53) :args (@t31)) % 0.39/0.56 (step @p55 :rule trans :premises (@p54 @p31)) % 0.39/0.56 (step @p56 :rule refl :args (tptp.setunionE2)) % 0.39/0.56 (step @p57 :rule cong :premises (@p56 @p55) :args (@t32)) % 0.39/0.56 (step @p58 :rule eq_resolve :premises (@p3 @p57)) % 0.39/0.56 (step @p59 :rule cong :premises (@p58 @p7) :args (@t58)) % 0.39/0.56 (step @p60 :rule refl :args (@t59)) % 0.39/0.56 (step @p61 :rule refl :args (@t12)) % 0.39/0.56 (step @p62 :rule cong :premises (@p61 @p60) :args ((= @t12 @t59))) % 0.39/0.56 (step @p63 :rule symm :premises (@p62)) % 0.39/0.56 (step @p64 :rule eq_resolve :premises (@p61 @p63)) % 0.39/0.56 (step @p65 :rule refl :args (@t63)) % 0.39/0.56 (step @p66 :rule nary_cong :premises (@p65 @p64) :args (@t64)) % 0.39/0.56 (step @p67 :rule cong :premises (@p66) :args ((forall @t18 @t64))) % 0.39/0.56 (step @p68 :rule bool-impl-elim :args (@t62 @t12)) % 0.39/0.56 (step @p69 :rule cong :premises (@p68) :args ((forall @t18 (=> @t62 @t12)))) % 0.39/0.56 (step @p70 :rule trans :premises (@p69 @p67)) % 0.39/0.56 (step @p71 :rule refl :args (@t12)) % 0.39/0.56 (step @p72 :rule refl :args (@t60)) % 0.39/0.56 (step @p73 :rule refl :args (@t13)) % 0.39/0.56 (step @p74 :rule cong :premises (@p73 @p72) :args ((= @t13 @t60))) % 0.39/0.56 (step @p75 :rule symm :premises (@p74)) % 0.39/0.56 (step @p76 :rule eq_resolve :premises (@p73 @p75)) % 0.39/0.56 (step @p77 :rule refl :args (@t61)) % 0.39/0.56 (step @p78 :rule refl :args (@t14)) % 0.39/0.56 (step @p79 :rule cong :premises (@p78 @p77) :args ((= @t14 @t61))) % 0.39/0.56 (step @p80 :rule symm :premises (@p79)) % 0.39/0.56 (step @p81 :rule eq_resolve :premises (@p78 @p80)) % 0.39/0.56 (step @p82 :rule cong :premises (@p81) :args (@t65)) % 0.39/0.56 (step @p83 :rule nary_cong :premises (@p82 @p76) :args (@t66)) % 0.39/0.56 (step @p84 :rule cong :premises (@p83) :args ((forall @t15 @t66))) % 0.39/0.56 (step @p85 :rule bool-impl-elim :args (@t14 @t13)) % 0.39/0.56 (step @p86 :rule cong :premises (@p85) :args (@t16)) % 0.39/0.56 (step @p87 :rule trans :premises (@p86 @p84)) % 0.39/0.56 (step @p88 :rule cong :premises (@p87 @p71) :args (@t17)) % 0.39/0.56 (step @p89 :rule cong :premises (@p88) :args (@t19)) % 0.39/0.56 (step @p90 :rule trans :premises (@p89 @p70)) % 0.39/0.56 (step @p91 :rule refl :args (tptp.subsetI2)) % 0.39/0.56 (step @p92 :rule cong :premises (@p91 @p90) :args (@t20)) % 0.39/0.56 (step @p93 :rule eq_resolve :premises (@p2 @p92)) % 0.39/0.56 (step @p94 :rule cong :premises (@p93 @p59) :args (@t67)) % 0.39/0.56 (step @p95 :rule refl :args (@t3)) % 0.39/0.56 (step @p96 :rule refl :args ((tptp.in @t2 @t4))) % 0.39/0.56 (step @p97 :rule refl :args (@t68)) % 0.39/0.56 (step @p98 :rule cong :premises (@p11 @p97) :args (@t69)) % 0.39/0.56 (step @p99 :rule trans :premises (@p98 @p96)) % 0.39/0.56 (step @p100 :rule ho_cong :premises (@p14 @p97)) % 0.39/0.56 (step @p101 :rule cong :premises (@p100 @p99) :args ((= (_ @t5 @t68) @t69))) % 0.39/0.56 (step @p102 :rule symm :premises (@p101)) % 0.39/0.56 (step @p103 :rule refl :args (@t6)) % 0.39/0.56 (step @p104 :rule eq_resolve :premises (@p103 @p102)) % 0.39/0.56 (step @p105 :rule refl :args (@t4)) % 0.39/0.56 (step @p106 :rule cong :premises (@p105 @p97) :args ((= @t4 @t68))) % 0.39/0.56 (step @p107 :rule symm :premises (@p106)) % 0.39/0.56 (step @p108 :rule eq_resolve :premises (@p105 @p107)) % 0.39/0.56 (step @p109 :rule ho_cong :premises (@p14 @p108)) % 0.39/0.56 (step @p110 :rule trans :premises (@p109 @p104)) % 0.39/0.56 (step @p111 :rule cong :premises (@p110) :args (@t70)) % 0.39/0.56 (step @p112 :rule nary_cong :premises (@p111 @p95) :args (@t71)) % 0.39/0.56 (step @p113 :rule cong :premises (@p112) :args ((forall @t7 @t71))) % 0.39/0.56 (step @p114 :rule bool-impl-elim :args (@t6 @t3)) % 0.39/0.56 (step @p115 :rule cong :premises (@p114) :args (@t8)) % 0.39/0.56 (step @p116 :rule trans :premises (@p115 @p113)) % 0.39/0.56 (step @p117 :rule refl :args (tptp.uniqinunit)) % 0.39/0.56 (step @p118 :rule cong :premises (@p117 @p116) :args (@t9)) % 0.39/0.56 (step @p119 :rule eq_resolve :premises (@p1 @p118)) % 0.39/0.56 (step @p120 :rule cong :premises (@p119 @p94) :args (@t72)) % 0.39/0.56 (step @p121 :rule cong :premises (@p120) :args ((not @t72))) % 0.39/0.56 (step @p122 :rule refl :args ((tptp.subset @t34 @t11))) % 0.39/0.56 (step @p123 :rule refl :args (@t11)) % 0.39/0.56 (step @p124 :rule refl :args ((tptp.setunion @t33))) % 0.39/0.56 (step @p125 :rule refl :args (@t42)) % 0.39/0.56 (step @p126 :rule cong :premises (@p125) :args (@t43)) % 0.39/0.56 (step @p127 :rule trans :premises (@p126 @p124)) % 0.39/0.56 (step @p128 :rule cong :premises (@p127 @p123) :args (@t44)) % 0.39/0.56 (step @p129 :rule trans :premises (@p128 @p122)) % 0.39/0.56 (step @p130 :rule refl :args (tptp.subset)) % 0.39/0.56 (step @p131 :rule ho_cong :premises (@p130 @p127)) % 0.39/0.56 (step @p132 :rule ho_cong :premises (@p131 @p123)) % 0.39/0.56 (step @p133 :rule cong :premises (@p132 @p129) :args ((= (_ (_ tptp.subset @t43) @t11) @t44))) % 0.39/0.56 (step @p134 :rule symm :premises (@p133)) % 0.39/0.56 (step @p135 :rule refl :args (@t35)) % 0.39/0.56 (step @p136 :rule eq_resolve :premises (@p135 @p134)) % 0.39/0.56 (step @p137 :rule refl :args (tptp.setunion)) % 0.39/0.56 (step @p138 :rule ho_cong :premises (@p137 @p125)) % 0.39/0.56 (step @p139 :rule cong :premises (@p138 @p127) :args ((= (_ tptp.setunion @t42) @t43))) % 0.39/0.56 (step @p140 :rule symm :premises (@p139)) % 0.39/0.56 (step @p141 :rule refl :args (@t34)) % 0.39/0.56 (step @p142 :rule eq_resolve :premises (@p141 @p140)) % 0.39/0.56 (step @p143 :rule refl :args (@t33)) % 0.39/0.56 (step @p144 :rule cong :premises (@p143 @p125) :args ((= @t33 @t42))) % 0.39/0.56 (step @p145 :rule symm :premises (@p144)) % 0.39/0.56 (step @p146 :rule eq_resolve :premises (@p143 @p145)) % 0.39/0.56 (step @p147 :rule ho_cong :premises (@p137 @p146)) % 0.39/0.56 (step @p148 :rule trans :premises (@p147 @p142)) % 0.39/0.56 (step @p149 :rule ho_cong :premises (@p130 @p148)) % 0.39/0.56 (step @p150 :rule ho_cong :premises (@p149 @p123)) % 0.39/0.56 (step @p151 :rule trans :premises (@p150 @p136)) % 0.39/0.56 (step @p152 :rule cong :premises (@p151) :args (@t37)) % 0.39/0.56 (step @p153 :rule cong :premises (@p56 @p152) :args (@t38)) % 0.39/0.56 (step @p154 :rule cong :premises (@p91 @p153) :args (@t39)) % 0.39/0.56 (step @p155 :rule cong :premises (@p117 @p154) :args (@t40)) % 0.39/0.56 (step @p156 :rule cong :premises (@p155) :args (@t41)) % 0.39/0.56 (step @p157 :rule trans :premises (@p156 @p121)) % 0.39/0.56 (step @p158 :rule eq_resolve :premises (@p4 @p157)) % 0.39/0.57 (step @p159 :rule not_implies_elim2 :premises (@p158)) % 0.39/0.57 (step @p160 :rule not_implies_elim1 :premises (@p159)) % 0.39/0.57 (step @p161 :rule instantiate :premises (@p160) :args ((@list @t75 @t73))) % 0.39/0.57 (step @p162 :rule not_implies_elim2 :premises (@p159)) % 0.39/0.57 (step @p163 :rule not_implies_elim2 :premises (@p162)) % 0.39/0.57 (step @p164 :rule skolemize :premises (@p163)) % 0.39/0.57 (step @p165 :rule cnf_or_pos :args (@t79)) % 0.39/0.57 (step @p166 :rule reordering :premises (@p165) :args ((or @t76 @t78 (not @t79)))) % 0.39/0.57 (step @p167 :rule chain_m_resolution :premises (@p166 @p164 @p161) :args (@t78 (@list true false) (@list @t76 @t79))) % 0.39/0.57 (step @p168 :rule skolemize :premises (@p167)) % 0.39/0.57 (step @p169 :rule cnf_or_neg :args (@t84 1)) % 0.39/0.57 (step @p170 :rule chain_m_resolution :premises (@p169 @p168) :args ((not @t81) @t85 @t86)) % 0.39/0.57 (step @p171 :rule false_intro :premises (@p170)) % 0.39/0.57 (step @p172 :rule not_implies_elim1 :premises (@p158)) % 0.39/0.57 (step @p173 :rule eq-symm :args (@t88 @t73)) % 0.39/0.57 (step @p174 :rule refl :args (@t90)) % 0.39/0.57 (step @p175 :rule nary_cong :premises (@p174 @p173) :args (@t91)) % 0.39/0.57 (step @p176 :rule refl :args (@t92)) % 0.39/0.57 (step @p177 :rule cong :premises (@p176 @p175) :args ((=> @t92 @t91))) % 0.39/0.57 (assume-push @p221 @t92) % 0.39/0.57 (step @p179 :rule instantiate :premises (@p172) :args ((@list @t88 @t73))) % 0.39/0.57 (step-pop @p222 :rule scope :premises (@p179)) % 0.39/0.57 (step @p180 :rule process_scope :premises (@p222) :args (@t91)) % 0.39/0.57 (step @p182 :rule eq_resolve :premises (@p180 @p177)) % 0.39/0.57 (step @p183 :rule implies_elim :premises (@p182)) % 0.39/0.57 (step @p184 :rule chain_m_resolution :premises (@p183 @p172) :args (@t94 (@list false) (@list @t92))) % 0.39/0.57 (step @p185 :rule not_implies_elim1 :premises (@p162)) % 0.39/0.57 (step @p186 :rule instantiate :premises (@p185) :args ((@list @t74 @t80))) % 0.39/0.57 (step @p187 :rule bool-double-not-elim :args (@t82)) % 0.39/0.57 (step @p188 :rule refl :args (@t84)) % 0.39/0.57 (step @p189 :rule nary_cong :premises (@p188 @p187) :args ((or @t84 (not @t83)))) % 0.39/0.57 (step @p190 :rule cnf_or_neg :args (@t84 0)) % 0.39/0.57 (step @p191 :rule eq_resolve :premises (@p190 @p189)) % 0.39/0.57 (step @p192 :rule reordering :premises (@p191) :args ((or @t82 @t84))) % 0.39/0.57 (step @p193 :rule chain_m_resolution :premises (@p192 @p168) :args (@t82 @t85 @t86)) % 0.39/0.57 (step @p194 :rule cnf_or_pos :args (@t96)) % 0.39/0.57 (step @p195 :rule reordering :premises (@p194) :args ((or @t83 @t95 (not @t96)))) % 0.39/0.57 (step @p196 :rule chain_m_resolution :premises (@p195 @p193 @p186) :args (@t95 @t97 (@list @t82 @t96))) % 0.39/0.57 (step @p197 :rule skolemize :premises (@p196)) % 0.39/0.57 (step @p198 :rule bool-double-not-elim :args (@t89)) % 0.39/0.57 (step @p199 :rule refl :args (@t100)) % 0.39/0.57 (step @p200 :rule nary_cong :premises (@p199 @p198) :args ((or @t100 (not @t90)))) % 0.39/0.57 (step @p201 :rule cnf_or_neg :args (@t100 0)) % 0.39/0.57 (step @p202 :rule eq_resolve :premises (@p201 @p200)) % 0.39/0.57 (step @p203 :rule reordering :premises (@p202) :args ((or @t89 @t100))) % 0.39/0.57 (step @p204 :rule chain_m_resolution :premises (@p203 @p197) :args (@t89 @t85 @t101)) % 0.39/0.57 (step @p205 :rule cnf_or_pos :args (@t94)) % 0.39/0.57 (step @p206 :rule reordering :premises (@p205) :args ((or @t90 @t93 (not @t94)))) % 0.39/0.57 (step @p207 :rule chain_m_resolution :premises (@p206 @p204 @p184) :args (@t93 @t97 (@list @t89 @t94))) % 0.39/0.57 (step @p208 :rule symm :premises (@p207)) % 0.39/0.57 (step @p209 :rule refl :args (@t80)) % 0.39/0.57 (step @p210 :rule cong :premises (@p209 @p208) :args (@t98)) % 0.39/0.57 (step @p211 :rule bool-double-not-elim :args (@t98)) % 0.39/0.57 (step @p212 :rule nary_cong :premises (@p199 @p211) :args ((or @t100 (not @t99)))) % 0.39/0.57 (step @p213 :rule cnf_or_neg :args (@t100 1)) % 0.39/0.57 (step @p214 :rule eq_resolve :premises (@p213 @p212)) % 0.39/0.57 (step @p215 :rule reordering :premises (@p214) :args ((or @t98 @t100))) % 0.39/0.57 (step @p216 :rule chain_m_resolution :premises (@p215 @p197) :args (@t98 @t85 @t101)) % 0.39/0.57 (step @p217 :rule true_intro :premises (@p216)) % 0.39/0.57 (step @p218 :rule symm :premises (@p217)) % 0.39/0.57 (step @p219 :rule trans :premises (@p218 @p210 @p171)) % 0.39/0.57 (step @p220 false :rule eq_resolve :premises (@p219 @p6)) % 0.39/0.57 ) % 0.39/0.57 % SZS output end Proof % 0.39/0.57 % cvc5 exiting %------------------------------------------------------------------------------