%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU531^2 : 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 : n013.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 08:52:05 AM UTC 2026 % Result : Theorem 0.37s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU531^2 : 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 : n013.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 17:40:45 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TH0 % 0.37/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.56 % SZS status Theorem % 0.37/0.56 % SZS output start Proof % 0.37/0.56 ( % 0.37/0.56 (declare-sort $$unsorted 0) % 0.37/0.56 (declare-const tptp.uniqinunit Bool) % 0.37/0.56 (declare-const tptp.emptyset $$unsorted) % 0.37/0.56 (declare-const tptp.setadjoinE Bool) % 0.37/0.56 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (define @t1 () (@var "Xphi" Bool)) % 0.37/0.56 (define @t2 () (@var "A" $$unsorted)) % 0.37/0.56 (define @t3 () (@var "Xy" $$unsorted)) % 0.37/0.56 (define @t4 () (_ tptp.in @t3)) % 0.37/0.56 (define @t5 () (_ @t4 @t2)) % 0.37/0.56 (define @t6 () (=> @t5 @t1)) % 0.37/0.56 (define @t7 () (=> @t6 @t1)) % 0.37/0.56 (define @t8 () (@var "Xx" $$unsorted)) % 0.37/0.56 (define @t9 () (=> (= @t3 @t8) @t1)) % 0.37/0.56 (define @t10 () (=> @t9 @t7)) % 0.37/0.56 (define @t11 () (@list @t1)) % 0.37/0.56 (define @t12 () (forall @t11 @t10)) % 0.37/0.56 (define @t13 () (_ tptp.setadjoin @t8)) % 0.37/0.56 (define @t14 () (_ @t13 @t2)) % 0.37/0.56 (define @t15 () (_ @t4 @t14)) % 0.37/0.56 (define @t16 () (=> @t15 @t12)) % 0.37/0.56 (define @t17 () (@list @t8 @t2 @t3)) % 0.37/0.56 (define @t18 () (forall @t17 @t16)) % 0.37/0.56 (define @t19 () (= tptp.setadjoinE @t18)) % 0.37/0.56 (define @t20 () (= @t8 @t3)) % 0.37/0.56 (define @t21 () (_ (_ tptp.setadjoin @t3) tptp.emptyset)) % 0.37/0.56 (define @t22 () (_ tptp.in @t8)) % 0.37/0.56 (define @t23 () (_ @t22 @t21)) % 0.37/0.56 (define @t24 () (@list @t8 @t3)) % 0.37/0.56 (define @t25 () (forall @t24 (=> @t23 @t20))) % 0.37/0.56 (define @t26 () (= tptp.uniqinunit @t25)) % 0.37/0.56 (define @t27 () (@var "Xz" $$unsorted)) % 0.37/0.56 (define @t28 () (or (= @t27 @t8) (= @t27 @t3))) % 0.37/0.56 (define @t29 () (_ @t13 @t21)) % 0.37/0.56 (define @t30 () (_ tptp.in @t27)) % 0.37/0.56 (define @t31 () (_ @t30 @t29)) % 0.37/0.56 (define @t32 () (=> @t31 @t28)) % 0.37/0.56 (define @t33 () (@list @t8 @t3 @t27)) % 0.37/0.56 (define @t34 () (forall @t33 @t32)) % 0.37/0.56 (define @t35 () (=> tptp.uniqinunit @t34)) % 0.37/0.56 (define @t36 () (=> tptp.setadjoinE @t35)) % 0.37/0.56 (define @t37 () (not @t36)) % 0.37/0.56 (define @t38 () (= @t3 @t27)) % 0.37/0.56 (define @t39 () (= @t8 @t27)) % 0.37/0.56 (define @t40 () (tptp.setadjoin @t3 tptp.emptyset)) % 0.37/0.56 (define @t41 () (tptp.setadjoin @t8 @t40)) % 0.37/0.56 (define @t42 () (tptp.in @t27 @t41)) % 0.37/0.56 (define @t43 () (forall @t33 (or (not @t42) @t39 @t38))) % 0.37/0.56 (define @t44 () (tptp.in @t8 @t40)) % 0.37/0.56 (define @t45 () (not @t23)) % 0.37/0.56 (define @t46 () (or @t45 @t20)) % 0.37/0.56 (define @t47 () (=> tptp.uniqinunit @t43)) % 0.37/0.56 (define @t48 () (tptp.in @t3 @t2)) % 0.37/0.56 (define @t49 () (tptp.setadjoin @t8 @t2)) % 0.37/0.56 (define @t50 () (tptp.in @t3 @t49)) % 0.37/0.56 (define @t51 () (not @t15)) % 0.37/0.56 (define @t52 () (or @t51 @t20 @t48)) % 0.37/0.56 (define @t53 () (or @t20 @t48)) % 0.37/0.56 (define @t54 () (not false)) % 0.37/0.56 (define @t55 () (and @t48 @t54)) % 0.37/0.56 (define @t56 () (and @t20 @t54)) % 0.37/0.56 (define @t57 () (or @t56 @t55)) % 0.37/0.56 (define @t58 () (or @t56 @t55 false)) % 0.37/0.56 (define @t59 () (not @t1)) % 0.37/0.56 (define @t60 () (and @t48 @t59)) % 0.37/0.56 (define @t61 () (and @t20 @t59)) % 0.37/0.56 (define @t62 () (or @t1 @t61 @t60 @t1)) % 0.37/0.56 (define @t63 () (or @t61 @t60 @t1)) % 0.37/0.56 (define @t64 () (and @t5 @t59)) % 0.37/0.56 (define @t65 () (or @t61 @t64 @t1)) % 0.37/0.56 (define @t66 () (=> @t20 @t1)) % 0.37/0.56 (define @t67 () (=> tptp.setadjoinE @t47)) % 0.37/0.56 (define @t68 () (not @t31)) % 0.37/0.56 (define @t69 () (or @t68 @t39 @t38)) % 0.37/0.56 (define @t70 () (or @t39 @t38)) % 0.37/0.56 (define @t71 () (@quantifiers_skolemize @t43 2)) % 0.37/0.56 (define @t72 () (@quantifiers_skolemize @t43 1)) % 0.37/0.56 (define @t73 () (tptp.setadjoin @t72 tptp.emptyset)) % 0.37/0.56 (define @t74 () (@quantifiers_skolemize @t43 0)) % 0.37/0.56 (define @t75 () (= @t72 @t71)) % 0.37/0.56 (define @t76 () (= @t74 @t71)) % 0.37/0.56 (define @t77 () (tptp.in @t71 (tptp.setadjoin @t74 @t73))) % 0.37/0.56 (define @t78 () (not @t77)) % 0.37/0.56 (define @t79 () (or @t78 @t76 @t75)) % 0.37/0.56 (define @t80 () (@list true)) % 0.37/0.56 (define @t81 () (@list @t79)) % 0.37/0.56 (define @t82 () (tptp.in @t71 @t73)) % 0.37/0.56 (define @t83 () (or @t78 @t76 @t82)) % 0.37/0.56 (define @t84 () (not @t82)) % 0.37/0.56 (define @t85 () (or @t84 @t75)) % 0.37/0.56 (define @t86 () (not @t85)) % 0.37/0.56 (define @t87 () (@list true false)) % 0.37/0.56 (define @t88 () (or @t84 (= @t71 @t72))) % 0.37/0.56 (define @t89 () (forall @t24 (or (not @t44) @t20))) % 0.37/0.56 (assume @p1 @t19) % 0.37/0.56 (assume @p2 @t26) % 0.37/0.56 (assume @p3 @t37) % 0.37/0.56 (assume @p4 true) % 0.37/0.56 (step @p5 :rule refl :args (@t43)) % 0.37/0.56 (step @p6 :rule refl :args (@t20)) % 0.37/0.56 (step @p7 :rule refl :args ((tptp.in @t8 @t21))) % 0.37/0.56 (step @p8 :rule refl :args (@t40)) % 0.37/0.56 (step @p9 :rule refl :args (@t8)) % 0.37/0.56 (step @p10 :rule cong :premises (@p9 @p8) :args (@t44)) % 0.37/0.56 (step @p11 :rule trans :premises (@p10 @p7)) % 0.37/0.56 (step @p12 :rule refl :args (@t22)) % 0.37/0.56 (step @p13 :rule ho_cong :premises (@p12 @p8)) % 0.37/0.56 (step @p14 :rule cong :premises (@p13 @p11) :args ((= (_ @t22 @t40) @t44))) % 0.37/0.56 (step @p15 :rule symm :premises (@p14)) % 0.37/0.56 (step @p16 :rule refl :args (@t23)) % 0.37/0.56 (step @p17 :rule eq_resolve :premises (@p16 @p15)) % 0.37/0.56 (step @p18 :rule refl :args (@t21)) % 0.37/0.56 (step @p19 :rule cong :premises (@p18 @p8) :args ((= @t21 @t40))) % 0.37/0.56 (step @p20 :rule symm :premises (@p19)) % 0.37/0.56 (step @p21 :rule eq_resolve :premises (@p18 @p20)) % 0.37/0.56 (step @p22 :rule ho_cong :premises (@p12 @p21)) % 0.37/0.56 (step @p23 :rule trans :premises (@p22 @p17)) % 0.37/0.56 (step @p24 :rule cong :premises (@p23) :args (@t45)) % 0.37/0.56 (step @p25 :rule nary_cong :premises (@p24 @p6) :args (@t46)) % 0.37/0.56 (step @p26 :rule cong :premises (@p25) :args ((forall @t24 @t46))) % 0.37/0.56 (step @p27 :rule bool-impl-elim :args (@t23 @t20)) % 0.37/0.56 (step @p28 :rule cong :premises (@p27) :args (@t25)) % 0.37/0.56 (step @p29 :rule trans :premises (@p28 @p26)) % 0.37/0.56 (step @p30 :rule refl :args (tptp.uniqinunit)) % 0.37/0.56 (step @p31 :rule cong :premises (@p30 @p29) :args (@t26)) % 0.37/0.56 (step @p32 :rule eq_resolve :premises (@p2 @p31)) % 0.37/0.56 (step @p33 :rule cong :premises (@p32 @p5) :args (@t47)) % 0.37/0.56 (step @p34 :rule refl :args (@t48)) % 0.37/0.56 (step @p35 :rule refl :args ((tptp.in @t3 @t14))) % 0.37/0.56 (step @p36 :rule refl :args (@t49)) % 0.37/0.56 (step @p37 :rule refl :args (@t3)) % 0.37/0.56 (step @p38 :rule cong :premises (@p37 @p36) :args (@t50)) % 0.37/0.56 (step @p39 :rule trans :premises (@p38 @p35)) % 0.37/0.56 (step @p40 :rule refl :args (@t4)) % 0.37/0.56 (step @p41 :rule ho_cong :premises (@p40 @p36)) % 0.37/0.56 (step @p42 :rule cong :premises (@p41 @p39) :args ((= (_ @t4 @t49) @t50))) % 0.37/0.56 (step @p43 :rule symm :premises (@p42)) % 0.37/0.56 (step @p44 :rule refl :args (@t15)) % 0.37/0.56 (step @p45 :rule eq_resolve :premises (@p44 @p43)) % 0.37/0.56 (step @p46 :rule refl :args (@t14)) % 0.37/0.56 (step @p47 :rule cong :premises (@p46 @p36) :args ((= @t14 @t49))) % 0.37/0.56 (step @p48 :rule symm :premises (@p47)) % 0.37/0.56 (step @p49 :rule eq_resolve :premises (@p46 @p48)) % 0.37/0.56 (step @p50 :rule ho_cong :premises (@p40 @p49)) % 0.37/0.56 (step @p51 :rule trans :premises (@p50 @p45)) % 0.37/0.56 (step @p52 :rule cong :premises (@p51) :args (@t51)) % 0.37/0.56 (step @p53 :rule nary_cong :premises (@p52 @p6 @p34) :args (@t52)) % 0.37/0.56 (step @p54 :rule cong :premises (@p53) :args ((forall @t17 @t52))) % 0.37/0.56 (step @p55 :rule aci_norm :args ((= (or @t51 @t53) @t52))) % 0.37/0.56 (step @p56 :rule bool-impl-elim :args (@t15 @t53)) % 0.37/0.56 (step @p57 :rule trans :premises (@p56 @p55)) % 0.37/0.56 (step @p58 :rule cong :premises (@p57) :args ((forall @t17 (=> @t15 @t53)))) % 0.37/0.56 (step @p59 :rule trans :premises (@p58 @p54)) % 0.37/0.56 (step @p60 :rule aci_norm :args ((= (and @t48 true) @t48))) % 0.37/0.56 (step @p61 :rule evaluate :args (@t54)) % 0.37/0.56 (step @p62 :rule refl :args (@t48)) % 0.37/0.56 (step @p63 :rule nary_cong :premises (@p62 @p61) :args (@t55)) % 0.37/0.56 (step @p64 :rule trans :premises (@p63 @p60)) % 0.37/0.56 (step @p65 :rule aci_norm :args ((= (and @t20 true) @t20))) % 0.37/0.56 (step @p66 :rule refl :args (@t20)) % 0.37/0.56 (step @p67 :rule nary_cong :premises (@p66 @p61) :args (@t56)) % 0.37/0.56 (step @p68 :rule trans :premises (@p67 @p65)) % 0.37/0.56 (step @p69 :rule nary_cong :premises (@p68 @p64) :args (@t57)) % 0.37/0.56 (step @p70 :rule aci_norm :args ((= @t58 @t57))) % 0.37/0.56 (step @p71 :rule trans :premises (@p70 @p69)) % 0.37/0.56 (step @p72 :rule quant-var-elim-eq :args ((= (forall @t11 (or (not (= @t1 false)) @t61 @t60 @t1)) @t58))) % 0.37/0.56 (step @p73 :rule refl :args (@t1)) % 0.37/0.56 (step @p74 :rule refl :args (@t60)) % 0.37/0.56 (step @p75 :rule refl :args (@t61)) % 0.37/0.56 (step @p76 :rule bool-eq-false :args (@t1)) % 0.37/0.56 (step @p77 :rule symm :premises (@p76)) % 0.37/0.56 (step @p78 :rule cong :premises (@p77) :args ((not @t59))) % 0.37/0.56 (step @p79 :rule bool-double-not-elim :args (@t1)) % 0.37/0.56 (step @p80 :rule symm :premises (@p79)) % 0.37/0.56 (step @p81 :rule trans :premises (@p80 @p78)) % 0.37/0.56 (step @p82 :rule nary_cong :premises (@p81 @p75 @p74 @p73) :args (@t62)) % 0.37/0.56 (step @p83 :rule aci_norm :args ((= @t63 @t62))) % 0.37/0.56 (step @p84 :rule trans :premises (@p83 @p82)) % 0.37/0.56 (step @p85 :rule cong :premises (@p84) :args ((forall @t11 @t63))) % 0.37/0.56 (step @p86 :rule trans :premises (@p85 @p72)) % 0.37/0.56 (step @p87 :rule trans :premises (@p86 @p71)) % 0.37/0.56 (step @p88 :rule refl :args (@t59)) % 0.37/0.56 (step @p89 :rule refl :args (@t48)) % 0.37/0.56 (step @p90 :rule refl :args (@t5)) % 0.37/0.56 (step @p91 :rule cong :premises (@p90 @p89) :args ((= @t5 @t48))) % 0.37/0.56 (step @p92 :rule symm :premises (@p91)) % 0.37/0.56 (step @p93 :rule eq_resolve :premises (@p90 @p92)) % 0.37/0.56 (step @p94 :rule nary_cong :premises (@p93 @p88) :args (@t64)) % 0.37/0.56 (step @p95 :rule nary_cong :premises (@p75 @p94 @p73) :args (@t65)) % 0.37/0.56 (step @p96 :rule cong :premises (@p95) :args ((forall @t11 @t65))) % 0.37/0.56 (step @p97 :rule trans :premises (@p96 @p87)) % 0.37/0.56 (step @p98 :rule aci_norm :args ((= (or @t61 (or @t64 @t1)) @t65))) % 0.37/0.56 (step @p99 :rule bool-implies-de-morgan :args (@t5 @t1)) % 0.37/0.56 (step @p100 :rule nary_cong :premises (@p99 @p73) :args ((or (not @t6) @t1))) % 0.37/0.56 (step @p101 :rule bool-impl-elim :args (@t6 @t1)) % 0.37/0.56 (step @p102 :rule trans :premises (@p101 @p100)) % 0.37/0.56 (step @p103 :rule bool-implies-de-morgan :args (@t20 @t1)) % 0.37/0.56 (step @p104 :rule nary_cong :premises (@p103 @p102) :args ((or (not @t66) @t7))) % 0.37/0.56 (step @p105 :rule trans :premises (@p104 @p98)) % 0.37/0.56 (step @p106 :rule bool-impl-elim :args (@t66 @t7)) % 0.37/0.56 (step @p107 :rule trans :premises (@p106 @p105)) % 0.37/0.56 (step @p108 :rule cong :premises (@p107) :args ((forall @t11 (=> @t66 @t7)))) % 0.37/0.56 (step @p109 :rule trans :premises (@p108 @p97)) % 0.37/0.56 (step @p110 :rule refl :args (@t7)) % 0.37/0.56 (step @p111 :rule refl :args (@t1)) % 0.37/0.56 (step @p112 :rule eq-symm :args (@t3 @t8)) % 0.37/0.56 (step @p113 :rule cong :premises (@p112 @p111) :args (@t9)) % 0.37/0.56 (step @p114 :rule cong :premises (@p113 @p110) :args (@t10)) % 0.37/0.56 (step @p115 :rule cong :premises (@p114) :args (@t12)) % 0.37/0.56 (step @p116 :rule trans :premises (@p115 @p109)) % 0.37/0.56 (step @p117 :rule refl :args (@t15)) % 0.37/0.56 (step @p118 :rule cong :premises (@p117 @p116) :args (@t16)) % 0.37/0.56 (step @p119 :rule cong :premises (@p118) :args (@t18)) % 0.37/0.56 (step @p120 :rule trans :premises (@p119 @p59)) % 0.37/0.56 (step @p121 :rule refl :args (tptp.setadjoinE)) % 0.37/0.56 (step @p122 :rule cong :premises (@p121 @p120) :args (@t19)) % 0.37/0.56 (step @p123 :rule eq_resolve :premises (@p1 @p122)) % 0.37/0.56 (step @p124 :rule cong :premises (@p123 @p33) :args (@t67)) % 0.37/0.56 (step @p125 :rule cong :premises (@p124) :args ((not @t67))) % 0.37/0.56 (step @p126 :rule refl :args (@t38)) % 0.37/0.56 (step @p127 :rule refl :args (@t39)) % 0.37/0.56 (step @p128 :rule refl :args ((tptp.in @t27 @t29))) % 0.37/0.56 (step @p129 :rule refl :args ((tptp.setadjoin @t8 @t21))) % 0.37/0.56 (step @p130 :rule cong :premises (@p9 @p8) :args (@t41)) % 0.37/0.56 (step @p131 :rule trans :premises (@p130 @p129)) % 0.37/0.56 (step @p132 :rule refl :args (@t27)) % 0.37/0.56 (step @p133 :rule cong :premises (@p132 @p131) :args (@t42)) % 0.37/0.56 (step @p134 :rule trans :premises (@p133 @p128)) % 0.37/0.56 (step @p135 :rule refl :args (@t30)) % 0.37/0.56 (step @p136 :rule ho_cong :premises (@p135 @p131)) % 0.37/0.56 (step @p137 :rule cong :premises (@p136 @p134) :args ((= (_ @t30 @t41) @t42))) % 0.37/0.56 (step @p138 :rule symm :premises (@p137)) % 0.37/0.56 (step @p139 :rule refl :args (@t31)) % 0.37/0.56 (step @p140 :rule eq_resolve :premises (@p139 @p138)) % 0.37/0.56 (step @p141 :rule refl :args (@t13)) % 0.37/0.56 (step @p142 :rule ho_cong :premises (@p141 @p8)) % 0.37/0.56 (step @p143 :rule cong :premises (@p142 @p131) :args ((= (_ @t13 @t40) @t41))) % 0.37/0.56 (step @p144 :rule symm :premises (@p143)) % 0.37/0.56 (step @p145 :rule refl :args (@t29)) % 0.37/0.56 (step @p146 :rule eq_resolve :premises (@p145 @p144)) % 0.37/0.56 (step @p147 :rule ho_cong :premises (@p141 @p21)) % 0.37/0.56 (step @p148 :rule trans :premises (@p147 @p146)) % 0.37/0.56 (step @p149 :rule ho_cong :premises (@p135 @p148)) % 0.37/0.56 (step @p150 :rule trans :premises (@p149 @p140)) % 0.37/0.56 (step @p151 :rule cong :premises (@p150) :args (@t68)) % 0.37/0.56 (step @p152 :rule nary_cong :premises (@p151 @p127 @p126) :args (@t69)) % 0.37/0.56 (step @p153 :rule cong :premises (@p152) :args ((forall @t33 @t69))) % 0.37/0.56 (step @p154 :rule aci_norm :args ((= (or @t68 @t70) @t69))) % 0.37/0.56 (step @p155 :rule bool-impl-elim :args (@t31 @t70)) % 0.37/0.56 (step @p156 :rule trans :premises (@p155 @p154)) % 0.37/0.56 (step @p157 :rule cong :premises (@p156) :args ((forall @t33 (=> @t31 @t70)))) % 0.37/0.56 (step @p158 :rule trans :premises (@p157 @p153)) % 0.37/0.56 (step @p159 :rule eq-symm :args (@t27 @t3)) % 0.37/0.56 (step @p160 :rule eq-symm :args (@t27 @t8)) % 0.37/0.56 (step @p161 :rule nary_cong :premises (@p160 @p159) :args (@t28)) % 0.37/0.56 (step @p162 :rule refl :args (@t31)) % 0.37/0.56 (step @p163 :rule cong :premises (@p162 @p161) :args (@t32)) % 0.37/0.56 (step @p164 :rule cong :premises (@p163) :args (@t34)) % 0.37/0.56 (step @p165 :rule trans :premises (@p164 @p158)) % 0.37/0.56 (step @p166 :rule cong :premises (@p30 @p165) :args (@t35)) % 0.37/0.56 (step @p167 :rule cong :premises (@p121 @p166) :args (@t36)) % 0.37/0.56 (step @p168 :rule cong :premises (@p167) :args (@t37)) % 0.37/0.56 (step @p169 :rule trans :premises (@p168 @p125)) % 0.37/0.56 (step @p170 :rule eq_resolve :premises (@p3 @p169)) % 0.37/0.56 (step @p171 :rule not_implies_elim2 :premises (@p170)) % 0.37/0.56 (step @p172 :rule not_implies_elim1 :premises (@p171)) % 0.37/0.56 (step @p173 :rule not_implies_elim1 :premises (@p170)) % 0.37/0.56 (step @p174 :rule instantiate :premises (@p173) :args ((@list @t74 @t73 @t71))) % 0.37/0.56 (step @p175 :rule not_implies_elim2 :premises (@p171)) % 0.37/0.56 (step @p176 :rule skolemize :premises (@p175)) % 0.37/0.56 (step @p177 :rule cnf_or_neg :args (@t79 1)) % 0.37/0.56 (step @p178 :rule chain_m_resolution :premises (@p177 @p176) :args ((not @t76) @t80 @t81)) % 0.37/0.56 (step @p179 :rule bool-double-not-elim :args (@t77)) % 0.37/0.56 (step @p180 :rule refl :args (@t79)) % 0.37/0.56 (step @p181 :rule nary_cong :premises (@p180 @p179) :args ((or @t79 (not @t78)))) % 0.37/0.56 (step @p182 :rule cnf_or_neg :args (@t79 0)) % 0.37/0.56 (step @p183 :rule eq_resolve :premises (@p182 @p181)) % 0.37/0.56 (step @p184 :rule reordering :premises (@p183) :args ((or @t77 @t79))) % 0.37/0.56 (step @p185 :rule chain_m_resolution :premises (@p184 @p176) :args (@t77 @t80 @t81)) % 0.37/0.56 (step @p186 :rule cnf_or_pos :args (@t83)) % 0.37/0.56 (step @p187 :rule reordering :premises (@p186) :args ((or @t78 @t76 @t82 (not @t83)))) % 0.37/0.56 (step @p188 :rule chain_m_resolution :premises (@p187 @p185 @p178 @p174) :args (@t82 (@list false true false) (@list @t77 @t76 @t83))) % 0.37/0.56 (step @p189 :rule cnf_or_neg :args (@t79 2)) % 0.37/0.56 (step @p190 :rule chain_m_resolution :premises (@p189 @p176) :args ((not @t75) @t80 @t81)) % 0.37/0.56 (step @p191 :rule cnf_or_pos :args (@t85)) % 0.37/0.56 (step @p192 :rule reordering :premises (@p191) :args ((or @t75 @t84 @t86))) % 0.37/0.56 (step @p193 :rule chain_m_resolution :premises (@p192 @p190 @p188) :args (@t86 @t87 (@list @t75 @t82))) % 0.37/0.56 (step @p194 :rule eq-symm :args (@t71 @t72)) % 0.37/0.56 (step @p195 :rule refl :args (@t84)) % 0.37/0.56 (step @p196 :rule nary_cong :premises (@p195 @p194) :args (@t88)) % 0.37/0.56 (step @p197 :rule refl :args (@t89)) % 0.37/0.56 (step @p198 :rule cong :premises (@p197 @p196) :args ((=> @t89 @t88))) % 0.37/0.56 (assume-push @p206 @t89) % 0.37/0.56 (step @p200 :rule instantiate :premises (@p172) :args ((@list @t71 @t72))) % 0.37/0.56 (step-pop @p207 :rule scope :premises (@p200)) % 0.37/0.56 (step @p201 :rule process_scope :premises (@p207) :args (@t88)) % 0.37/0.56 (step @p203 :rule eq_resolve :premises (@p201 @p198)) % 0.37/0.56 (step @p204 :rule implies_elim :premises (@p203)) % 0.37/0.56 (step @p205 false :rule chain_m_resolution :premises (@p204 @p193 @p172) :args (false @t87 (@list @t85 @t89))) % 0.37/0.56 ) % 0.37/0.56 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------