%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU642^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 08:52:33 AM UTC 2026 % Result : Theorem 0.36s 0.57s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU642^2 : TPTP v9.2.1. Released v3.7.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n020.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 17:44:25 EDT 2026 % 0.18/0.34 % CPUTime : % 0.29/0.49 %----Proving TH0 % 0.36/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.57 % SZS status Theorem % 0.36/0.57 % SZS output start Proof % 0.36/0.57 ( % 0.36/0.57 (declare-sort $$unsorted 0) % 0.36/0.57 (declare-const tptp.upairset2E Bool) % 0.36/0.57 (declare-const tptp.uniqinunit Bool) % 0.36/0.57 (declare-const tptp.emptyset $$unsorted) % 0.36/0.57 (declare-const tptp.singletonsuniq Bool) % 0.36/0.57 (declare-const tptp.setadjoinIL Bool) % 0.36/0.57 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.57 (define @t1 () (@var "Xy" $$unsorted)) % 0.36/0.57 (define @t2 () (@var "Xx" $$unsorted)) % 0.36/0.57 (define @t3 () (_ tptp.setadjoin @t2)) % 0.36/0.57 (define @t4 () (_ @t3 @t1)) % 0.36/0.57 (define @t5 () (_ tptp.in @t2)) % 0.36/0.57 (define @t6 () (_ @t5 @t4)) % 0.36/0.57 (define @t7 () (@list @t2 @t1)) % 0.36/0.57 (define @t8 () (forall @t7 @t6)) % 0.36/0.57 (define @t9 () (= tptp.setadjoinIL @t8)) % 0.36/0.57 (define @t10 () (= @t2 @t1)) % 0.36/0.57 (define @t11 () (_ (_ tptp.setadjoin @t1) tptp.emptyset)) % 0.36/0.57 (define @t12 () (_ @t5 @t11)) % 0.36/0.57 (define @t13 () (forall @t7 (=> @t12 @t10))) % 0.36/0.57 (define @t14 () (= tptp.uniqinunit @t13)) % 0.36/0.57 (define @t15 () (@var "Xz" $$unsorted)) % 0.36/0.57 (define @t16 () (or (= @t15 @t2) (= @t15 @t1))) % 0.36/0.57 (define @t17 () (_ @t3 @t11)) % 0.36/0.57 (define @t18 () (_ tptp.in @t15)) % 0.36/0.57 (define @t19 () (_ @t18 @t17)) % 0.36/0.57 (define @t20 () (=> @t19 @t16)) % 0.36/0.57 (define @t21 () (@list @t2 @t1 @t15)) % 0.36/0.57 (define @t22 () (forall @t21 @t20)) % 0.36/0.57 (define @t23 () (= tptp.upairset2E @t22)) % 0.36/0.57 (define @t24 () (_ @t3 tptp.emptyset)) % 0.36/0.57 (define @t25 () (=> (= @t24 @t11) @t10)) % 0.36/0.57 (define @t26 () (forall @t7 @t25)) % 0.36/0.57 (define @t27 () (= tptp.singletonsuniq @t26)) % 0.36/0.57 (define @t28 () (= @t2 @t15)) % 0.36/0.57 (define @t29 () (_ (_ tptp.setadjoin @t17) tptp.emptyset)) % 0.36/0.57 (define @t30 () (_ (_ tptp.setadjoin @t24) @t29)) % 0.36/0.57 (define @t31 () (_ (_ tptp.setadjoin @t15) tptp.emptyset)) % 0.36/0.57 (define @t32 () (_ (_ tptp.in @t31) @t30)) % 0.36/0.57 (define @t33 () (forall @t21 (=> @t32 @t28))) % 0.36/0.57 (define @t34 () (=> tptp.singletonsuniq @t33)) % 0.36/0.57 (define @t35 () (=> tptp.upairset2E @t34)) % 0.36/0.57 (define @t36 () (=> tptp.uniqinunit @t35)) % 0.36/0.57 (define @t37 () (=> tptp.setadjoinIL @t36)) % 0.36/0.57 (define @t38 () (not @t37)) % 0.36/0.57 (define @t39 () (tptp.setadjoin @t1 tptp.emptyset)) % 0.36/0.57 (define @t40 () (tptp.setadjoin @t2 @t39)) % 0.36/0.57 (define @t41 () (tptp.setadjoin @t40 tptp.emptyset)) % 0.36/0.57 (define @t42 () (tptp.setadjoin @t2 tptp.emptyset)) % 0.36/0.57 (define @t43 () (tptp.setadjoin @t42 @t41)) % 0.36/0.57 (define @t44 () (tptp.setadjoin @t15 tptp.emptyset)) % 0.36/0.57 (define @t45 () (tptp.in @t44 @t43)) % 0.36/0.57 (define @t46 () (forall @t21 (or (not @t45) @t28))) % 0.36/0.57 (define @t47 () (= @t11 @t24)) % 0.36/0.57 (define @t48 () (not @t47)) % 0.36/0.57 (define @t49 () (or @t48 @t10)) % 0.36/0.57 (define @t50 () (=> tptp.singletonsuniq @t46)) % 0.36/0.57 (define @t51 () (= @t1 @t15)) % 0.36/0.57 (define @t52 () (tptp.in @t15 @t40)) % 0.36/0.57 (define @t53 () (not @t19)) % 0.36/0.57 (define @t54 () (or @t53 @t28 @t51)) % 0.36/0.57 (define @t55 () (or @t28 @t51)) % 0.36/0.57 (define @t56 () (=> tptp.upairset2E @t50)) % 0.36/0.57 (define @t57 () (tptp.in @t2 @t39)) % 0.36/0.57 (define @t58 () (not @t12)) % 0.36/0.57 (define @t59 () (or @t58 @t10)) % 0.36/0.57 (define @t60 () (=> tptp.uniqinunit @t56)) % 0.36/0.57 (define @t61 () (tptp.setadjoin @t2 @t1)) % 0.36/0.57 (define @t62 () (tptp.in @t2 @t61)) % 0.36/0.57 (define @t63 () (=> tptp.setadjoinIL @t60)) % 0.36/0.57 (define @t64 () (not @t32)) % 0.36/0.57 (define @t65 () (or @t64 @t28)) % 0.36/0.57 (define @t66 () (@quantifiers_skolemize @t46 2)) % 0.36/0.57 (define @t67 () (@quantifiers_skolemize @t46 0)) % 0.36/0.57 (define @t68 () (= @t67 @t66)) % 0.36/0.57 (define @t69 () (tptp.setadjoin (@quantifiers_skolemize @t46 1) tptp.emptyset)) % 0.36/0.57 (define @t70 () (tptp.setadjoin @t67 @t69)) % 0.36/0.57 (define @t71 () (tptp.setadjoin @t67 tptp.emptyset)) % 0.36/0.57 (define @t72 () (tptp.setadjoin @t66 tptp.emptyset)) % 0.36/0.57 (define @t73 () (tptp.in @t72 (tptp.setadjoin @t71 (tptp.setadjoin @t70 tptp.emptyset)))) % 0.36/0.57 (define @t74 () (not @t73)) % 0.36/0.57 (define @t75 () (or @t74 @t68)) % 0.36/0.57 (define @t76 () (@list true)) % 0.36/0.57 (define @t77 () (@list @t75)) % 0.36/0.57 (define @t78 () (not (tptp.in @t67 @t72))) % 0.36/0.57 (define @t79 () (or @t78 @t68)) % 0.36/0.57 (define @t80 () (@list true false)) % 0.36/0.57 (define @t81 () (= @t71 @t72)) % 0.36/0.57 (define @t82 () (or @t74 @t81 (= @t70 @t72))) % 0.36/0.57 (define @t83 () (forall @t21 (or (not @t52) @t28 @t51))) % 0.36/0.57 (define @t84 () (= @t72 @t70)) % 0.36/0.57 (define @t85 () (= @t72 @t71)) % 0.36/0.57 (define @t86 () (or @t74 @t85 @t84)) % 0.36/0.57 (define @t87 () (@list false)) % 0.36/0.57 (define @t88 () (not @t81)) % 0.36/0.57 (define @t89 () (or @t88 (= @t66 @t67))) % 0.36/0.57 (define @t90 () (forall @t7 (or (not (= @t39 @t42)) @t10))) % 0.36/0.57 (define @t91 () (not @t85)) % 0.36/0.57 (define @t92 () (or @t91 @t68)) % 0.36/0.57 (assume @p1 @t9) % 0.36/0.57 (assume @p2 @t14) % 0.36/0.57 (assume @p3 @t23) % 0.36/0.57 (assume @p4 @t27) % 0.36/0.57 (assume @p5 @t38) % 0.36/0.57 (assume @p6 true) % 0.36/0.57 (step @p7 :rule evaluate :args ((= true false))) % 0.36/0.57 (step @p8 :rule refl :args (@t46)) % 0.36/0.57 (step @p9 :rule refl :args (@t10)) % 0.36/0.57 (step @p10 :rule refl :args (@t42)) % 0.36/0.57 (step @p11 :rule refl :args (@t24)) % 0.36/0.57 (step @p12 :rule cong :premises (@p11 @p10) :args ((= @t24 @t42))) % 0.36/0.57 (step @p13 :rule symm :premises (@p12)) % 0.36/0.57 (step @p14 :rule eq_resolve :premises (@p11 @p13)) % 0.36/0.57 (step @p15 :rule refl :args (@t39)) % 0.36/0.57 (step @p16 :rule refl :args (@t11)) % 0.36/0.57 (step @p17 :rule cong :premises (@p16 @p15) :args ((= @t11 @t39))) % 0.36/0.57 (step @p18 :rule symm :premises (@p17)) % 0.36/0.57 (step @p19 :rule eq_resolve :premises (@p16 @p18)) % 0.36/0.57 (step @p20 :rule cong :premises (@p19 @p14) :args (@t47)) % 0.36/0.57 (step @p21 :rule cong :premises (@p20) :args (@t48)) % 0.36/0.57 (step @p22 :rule nary_cong :premises (@p21 @p9) :args (@t49)) % 0.36/0.57 (step @p23 :rule cong :premises (@p22) :args ((forall @t7 @t49))) % 0.36/0.57 (step @p24 :rule bool-impl-elim :args (@t47 @t10)) % 0.36/0.57 (step @p25 :rule cong :premises (@p24) :args ((forall @t7 (=> @t47 @t10)))) % 0.36/0.57 (step @p26 :rule trans :premises (@p25 @p23)) % 0.36/0.57 (step @p27 :rule refl :args (@t10)) % 0.36/0.57 (step @p28 :rule eq-symm :args (@t24 @t11)) % 0.36/0.57 (step @p29 :rule cong :premises (@p28 @p27) :args (@t25)) % 0.36/0.57 (step @p30 :rule cong :premises (@p29) :args (@t26)) % 0.36/0.57 (step @p31 :rule trans :premises (@p30 @p26)) % 0.36/0.57 (step @p32 :rule refl :args (tptp.singletonsuniq)) % 0.36/0.57 (step @p33 :rule cong :premises (@p32 @p31) :args (@t27)) % 0.36/0.57 (step @p34 :rule eq_resolve :premises (@p4 @p33)) % 0.36/0.57 (step @p35 :rule cong :premises (@p34 @p8) :args (@t50)) % 0.36/0.57 (step @p36 :rule refl :args (@t51)) % 0.36/0.57 (step @p37 :rule refl :args (@t28)) % 0.36/0.57 (step @p38 :rule refl :args ((tptp.in @t15 @t17))) % 0.36/0.57 (step @p39 :rule refl :args ((tptp.setadjoin @t2 @t11))) % 0.36/0.57 (step @p40 :rule refl :args (@t2)) % 0.36/0.57 (step @p41 :rule cong :premises (@p40 @p15) :args (@t40)) % 0.36/0.57 (step @p42 :rule trans :premises (@p41 @p39)) % 0.36/0.57 (step @p43 :rule refl :args (@t15)) % 0.36/0.57 (step @p44 :rule cong :premises (@p43 @p42) :args (@t52)) % 0.36/0.57 (step @p45 :rule trans :premises (@p44 @p38)) % 0.36/0.57 (step @p46 :rule refl :args (@t18)) % 0.36/0.57 (step @p47 :rule ho_cong :premises (@p46 @p42)) % 0.36/0.57 (step @p48 :rule cong :premises (@p47 @p45) :args ((= (_ @t18 @t40) @t52))) % 0.36/0.57 (step @p49 :rule symm :premises (@p48)) % 0.36/0.57 (step @p50 :rule refl :args (@t19)) % 0.36/0.57 (step @p51 :rule eq_resolve :premises (@p50 @p49)) % 0.36/0.57 (step @p52 :rule refl :args (@t3)) % 0.36/0.57 (step @p53 :rule ho_cong :premises (@p52 @p15)) % 0.36/0.57 (step @p54 :rule cong :premises (@p53 @p42) :args ((= (_ @t3 @t39) @t40))) % 0.36/0.57 (step @p55 :rule symm :premises (@p54)) % 0.36/0.57 (step @p56 :rule refl :args (@t17)) % 0.36/0.57 (step @p57 :rule eq_resolve :premises (@p56 @p55)) % 0.36/0.57 (step @p58 :rule ho_cong :premises (@p52 @p19)) % 0.36/0.57 (step @p59 :rule trans :premises (@p58 @p57)) % 0.36/0.57 (step @p60 :rule ho_cong :premises (@p46 @p59)) % 0.36/0.57 (step @p61 :rule trans :premises (@p60 @p51)) % 0.36/0.57 (step @p62 :rule cong :premises (@p61) :args (@t53)) % 0.36/0.57 (step @p63 :rule nary_cong :premises (@p62 @p37 @p36) :args (@t54)) % 0.36/0.57 (step @p64 :rule cong :premises (@p63) :args ((forall @t21 @t54))) % 0.36/0.57 (step @p65 :rule aci_norm :args ((= (or @t53 @t55) @t54))) % 0.36/0.57 (step @p66 :rule bool-impl-elim :args (@t19 @t55)) % 0.36/0.57 (step @p67 :rule trans :premises (@p66 @p65)) % 0.36/0.57 (step @p68 :rule cong :premises (@p67) :args ((forall @t21 (=> @t19 @t55)))) % 0.36/0.57 (step @p69 :rule trans :premises (@p68 @p64)) % 0.36/0.57 (step @p70 :rule eq-symm :args (@t15 @t1)) % 0.36/0.57 (step @p71 :rule eq-symm :args (@t15 @t2)) % 0.36/0.57 (step @p72 :rule nary_cong :premises (@p71 @p70) :args (@t16)) % 0.36/0.57 (step @p73 :rule refl :args (@t19)) % 0.36/0.57 (step @p74 :rule cong :premises (@p73 @p72) :args (@t20)) % 0.36/0.57 (step @p75 :rule cong :premises (@p74) :args (@t22)) % 0.36/0.57 (step @p76 :rule trans :premises (@p75 @p69)) % 0.36/0.57 (step @p77 :rule refl :args (tptp.upairset2E)) % 0.36/0.57 (step @p78 :rule cong :premises (@p77 @p76) :args (@t23)) % 0.36/0.57 (step @p79 :rule eq_resolve :premises (@p3 @p78)) % 0.36/0.57 (step @p80 :rule cong :premises (@p79 @p35) :args (@t56)) % 0.36/0.57 (step @p81 :rule refl :args ((tptp.in @t2 @t11))) % 0.36/0.57 (step @p82 :rule cong :premises (@p40 @p15) :args (@t57)) % 0.36/0.57 (step @p83 :rule trans :premises (@p82 @p81)) % 0.36/0.57 (step @p84 :rule refl :args (@t5)) % 0.36/0.57 (step @p85 :rule ho_cong :premises (@p84 @p15)) % 0.36/0.57 (step @p86 :rule cong :premises (@p85 @p83) :args ((= (_ @t5 @t39) @t57))) % 0.36/0.57 (step @p87 :rule symm :premises (@p86)) % 0.36/0.57 (step @p88 :rule refl :args (@t12)) % 0.36/0.57 (step @p89 :rule eq_resolve :premises (@p88 @p87)) % 0.36/0.57 (step @p90 :rule ho_cong :premises (@p84 @p19)) % 0.36/0.57 (step @p91 :rule trans :premises (@p90 @p89)) % 0.36/0.57 (step @p92 :rule cong :premises (@p91) :args (@t58)) % 0.36/0.57 (step @p93 :rule nary_cong :premises (@p92 @p9) :args (@t59)) % 0.36/0.57 (step @p94 :rule cong :premises (@p93) :args ((forall @t7 @t59))) % 0.36/0.57 (step @p95 :rule bool-impl-elim :args (@t12 @t10)) % 0.36/0.57 (step @p96 :rule cong :premises (@p95) :args (@t13)) % 0.36/0.57 (step @p97 :rule trans :premises (@p96 @p94)) % 0.36/0.57 (step @p98 :rule refl :args (tptp.uniqinunit)) % 0.36/0.57 (step @p99 :rule cong :premises (@p98 @p97) :args (@t14)) % 0.36/0.57 (step @p100 :rule eq_resolve :premises (@p2 @p99)) % 0.36/0.57 (step @p101 :rule cong :premises (@p100 @p80) :args (@t60)) % 0.36/0.57 (step @p102 :rule refl :args ((tptp.in @t2 @t4))) % 0.36/0.57 (step @p103 :rule refl :args (@t61)) % 0.36/0.57 (step @p104 :rule cong :premises (@p40 @p103) :args (@t62)) % 0.36/0.57 (step @p105 :rule trans :premises (@p104 @p102)) % 0.36/0.57 (step @p106 :rule ho_cong :premises (@p84 @p103)) % 0.36/0.57 (step @p107 :rule cong :premises (@p106 @p105) :args ((= (_ @t5 @t61) @t62))) % 0.36/0.57 (step @p108 :rule symm :premises (@p107)) % 0.36/0.57 (step @p109 :rule refl :args (@t6)) % 0.36/0.57 (step @p110 :rule eq_resolve :premises (@p109 @p108)) % 0.36/0.57 (step @p111 :rule refl :args (@t4)) % 0.36/0.57 (step @p112 :rule cong :premises (@p111 @p103) :args ((= @t4 @t61))) % 0.36/0.57 (step @p113 :rule symm :premises (@p112)) % 0.36/0.57 (step @p114 :rule eq_resolve :premises (@p111 @p113)) % 0.36/0.57 (step @p115 :rule ho_cong :premises (@p84 @p114)) % 0.36/0.57 (step @p116 :rule trans :premises (@p115 @p110)) % 0.36/0.57 (step @p117 :rule cong :premises (@p116) :args (@t8)) % 0.36/0.57 (step @p118 :rule refl :args (tptp.setadjoinIL)) % 0.36/0.57 (step @p119 :rule cong :premises (@p118 @p117) :args (@t9)) % 0.36/0.57 (step @p120 :rule eq_resolve :premises (@p1 @p119)) % 0.36/0.57 (step @p121 :rule cong :premises (@p120 @p101) :args (@t63)) % 0.36/0.57 (step @p122 :rule cong :premises (@p121) :args ((not @t63))) % 0.36/0.57 (step @p123 :rule refl :args ((tptp.in @t31 @t30))) % 0.36/0.57 (step @p124 :rule refl :args ((tptp.setadjoin @t24 @t29))) % 0.36/0.57 (step @p125 :rule refl :args ((tptp.setadjoin @t17 tptp.emptyset))) % 0.36/0.57 (step @p126 :rule refl :args (tptp.emptyset)) % 0.36/0.57 (step @p127 :rule cong :premises (@p42 @p126) :args (@t41)) % 0.36/0.57 (step @p128 :rule trans :premises (@p127 @p125)) % 0.36/0.57 (step @p129 :rule cong :premises (@p10 @p128) :args (@t43)) % 0.36/0.57 (step @p130 :rule trans :premises (@p129 @p124)) % 0.36/0.57 (step @p131 :rule refl :args (@t44)) % 0.36/0.57 (step @p132 :rule cong :premises (@p131 @p130) :args (@t45)) % 0.36/0.57 (step @p133 :rule trans :premises (@p132 @p123)) % 0.36/0.57 (step @p134 :rule refl :args (tptp.in)) % 0.36/0.57 (step @p135 :rule ho_cong :premises (@p134 @p131)) % 0.36/0.57 (step @p136 :rule ho_cong :premises (@p135 @p130)) % 0.36/0.57 (step @p137 :rule cong :premises (@p136 @p133) :args ((= (_ (_ tptp.in @t44) @t43) @t45))) % 0.36/0.57 (step @p138 :rule symm :premises (@p137)) % 0.36/0.57 (step @p139 :rule refl :args (@t32)) % 0.36/0.57 (step @p140 :rule eq_resolve :premises (@p139 @p138)) % 0.36/0.57 (step @p141 :rule refl :args (tptp.setadjoin)) % 0.36/0.57 (step @p142 :rule ho_cong :premises (@p141 @p10)) % 0.36/0.57 (step @p143 :rule ho_cong :premises (@p142 @p128)) % 0.36/0.57 (step @p144 :rule cong :premises (@p143 @p130) :args ((= (_ (_ tptp.setadjoin @t42) @t41) @t43))) % 0.36/0.57 (step @p145 :rule symm :premises (@p144)) % 0.36/0.57 (step @p146 :rule refl :args (@t30)) % 0.36/0.57 (step @p147 :rule eq_resolve :premises (@p146 @p145)) % 0.36/0.57 (step @p148 :rule ho_cong :premises (@p141 @p42)) % 0.36/0.57 (step @p149 :rule ho_cong :premises (@p148 @p126)) % 0.36/0.57 (step @p150 :rule cong :premises (@p149 @p128) :args ((= (_ (_ tptp.setadjoin @t40) tptp.emptyset) @t41))) % 0.36/0.57 (step @p151 :rule symm :premises (@p150)) % 0.36/0.57 (step @p152 :rule refl :args (@t29)) % 0.36/0.57 (step @p153 :rule eq_resolve :premises (@p152 @p151)) % 0.36/0.57 (step @p154 :rule ho_cong :premises (@p141 @p59)) % 0.36/0.57 (step @p155 :rule ho_cong :premises (@p154 @p126)) % 0.36/0.57 (step @p156 :rule trans :premises (@p155 @p153)) % 0.36/0.57 (step @p157 :rule ho_cong :premises (@p141 @p14)) % 0.36/0.57 (step @p158 :rule ho_cong :premises (@p157 @p156)) % 0.36/0.57 (step @p159 :rule trans :premises (@p158 @p147)) % 0.36/0.57 (step @p160 :rule refl :args (@t31)) % 0.36/0.57 (step @p161 :rule cong :premises (@p160 @p131) :args ((= @t31 @t44))) % 0.36/0.57 (step @p162 :rule symm :premises (@p161)) % 0.36/0.57 (step @p163 :rule eq_resolve :premises (@p160 @p162)) % 0.36/0.57 (step @p164 :rule ho_cong :premises (@p134 @p163)) % 0.36/0.57 (step @p165 :rule ho_cong :premises (@p164 @p159)) % 0.36/0.57 (step @p166 :rule trans :premises (@p165 @p140)) % 0.36/0.57 (step @p167 :rule cong :premises (@p166) :args (@t64)) % 0.36/0.57 (step @p168 :rule nary_cong :premises (@p167 @p37) :args (@t65)) % 0.36/0.57 (step @p169 :rule cong :premises (@p168) :args ((forall @t21 @t65))) % 0.36/0.57 (step @p170 :rule bool-impl-elim :args (@t32 @t28)) % 0.36/0.57 (step @p171 :rule cong :premises (@p170) :args (@t33)) % 0.36/0.57 (step @p172 :rule trans :premises (@p171 @p169)) % 0.36/0.57 (step @p173 :rule cong :premises (@p32 @p172) :args (@t34)) % 0.36/0.57 (step @p174 :rule cong :premises (@p77 @p173) :args (@t35)) % 0.36/0.57 (step @p175 :rule cong :premises (@p98 @p174) :args (@t36)) % 0.36/0.57 (step @p176 :rule cong :premises (@p118 @p175) :args (@t37)) % 0.36/0.57 (step @p177 :rule cong :premises (@p176) :args (@t38)) % 0.36/0.57 (step @p178 :rule trans :premises (@p177 @p122)) % 0.36/0.57 (step @p179 :rule eq_resolve :premises (@p5 @p178)) % 0.36/0.57 (step @p180 :rule not_implies_elim2 :premises (@p179)) % 0.36/0.57 (step @p181 :rule not_implies_elim1 :premises (@p180)) % 0.36/0.57 (step @p182 :rule instantiate :premises (@p181) :args ((@list @t67 @t66))) % 0.36/0.57 (step @p183 :rule not_implies_elim2 :premises (@p180)) % 0.36/0.57 (step @p184 :rule not_implies_elim2 :premises (@p183)) % 0.36/0.57 (step @p185 :rule not_implies_elim2 :premises (@p184)) % 0.36/0.57 (step @p186 :rule skolemize :premises (@p185)) % 0.36/0.57 (step @p187 :rule cnf_or_neg :args (@t75 1)) % 0.36/0.57 (step @p188 :rule chain_m_resolution :premises (@p187 @p186) :args ((not @t68) @t76 @t77)) % 0.36/0.57 (step @p189 :rule cnf_or_pos :args (@t79)) % 0.36/0.57 (step @p190 :rule reordering :premises (@p189) :args ((or @t68 @t78 (not @t79)))) % 0.36/0.57 (step @p191 :rule chain_m_resolution :premises (@p190 @p188 @p182) :args (@t78 @t80 (@list @t68 @t79))) % 0.36/0.57 (step @p192 :rule false_intro :premises (@p191)) % 0.36/0.57 (step @p193 :rule not_implies_elim1 :premises (@p183)) % 0.36/0.57 (step @p194 :rule eq-symm :args (@t70 @t72)) % 0.36/0.57 (step @p195 :rule eq-symm :args (@t71 @t72)) % 0.36/0.57 (step @p196 :rule refl :args (@t74)) % 0.36/0.57 (step @p197 :rule nary_cong :premises (@p196 @p195 @p194) :args (@t82)) % 0.36/0.57 (step @p198 :rule refl :args (@t83)) % 0.36/0.57 (step @p199 :rule cong :premises (@p198 @p197) :args ((=> @t83 @t82))) % 0.36/0.57 (assume-push @p242 @t83) % 0.36/0.57 (step @p201 :rule instantiate :premises (@p193) :args ((@list @t71 @t70 @t72))) % 0.36/0.57 (step-pop @p243 :rule scope :premises (@p201)) % 0.36/0.57 (step @p202 :rule process_scope :premises (@p243) :args (@t82)) % 0.36/0.57 (step @p204 :rule eq_resolve :premises (@p202 @p199)) % 0.36/0.57 (step @p205 :rule implies_elim :premises (@p204)) % 0.36/0.57 (step @p206 :rule chain_m_resolution :premises (@p205 @p193) :args (@t86 @t87 (@list @t83))) % 0.36/0.57 (step @p207 :rule not_implies_elim1 :premises (@p184)) % 0.36/0.57 (step @p208 :rule eq-symm :args (@t66 @t67)) % 0.36/0.57 (step @p209 :rule cong :premises (@p195) :args (@t88)) % 0.36/0.57 (step @p210 :rule nary_cong :premises (@p209 @p208) :args (@t89)) % 0.36/0.57 (step @p211 :rule refl :args (@t90)) % 0.36/0.57 (step @p212 :rule cong :premises (@p211 @p210) :args ((=> @t90 @t89))) % 0.36/0.57 (assume-push @p244 @t90) % 0.36/0.57 (step @p214 :rule instantiate :premises (@p207) :args ((@list @t66 @t67))) % 0.36/0.57 (step-pop @p245 :rule scope :premises (@p214)) % 0.36/0.57 (step @p215 :rule process_scope :premises (@p245) :args (@t89)) % 0.36/0.57 (step @p217 :rule eq_resolve :premises (@p215 @p212)) % 0.36/0.57 (step @p218 :rule implies_elim :premises (@p217)) % 0.36/0.57 (step @p219 :rule chain_m_resolution :premises (@p218 @p207) :args (@t92 @t87 (@list @t90))) % 0.36/0.57 (step @p220 :rule cnf_or_pos :args (@t92)) % 0.36/0.57 (step @p221 :rule reordering :premises (@p220) :args ((or @t68 @t91 (not @t92)))) % 0.36/0.57 (step @p222 :rule chain_m_resolution :premises (@p221 @p188 @p219) :args (@t91 @t80 (@list @t68 @t92))) % 0.36/0.57 (step @p223 :rule bool-double-not-elim :args (@t73)) % 0.36/0.57 (step @p224 :rule refl :args (@t75)) % 0.36/0.57 (step @p225 :rule nary_cong :premises (@p224 @p223) :args ((or @t75 (not @t74)))) % 0.36/0.57 (step @p226 :rule cnf_or_neg :args (@t75 0)) % 0.36/0.57 (step @p227 :rule eq_resolve :premises (@p226 @p225)) % 0.36/0.57 (step @p228 :rule reordering :premises (@p227) :args ((or @t73 @t75))) % 0.36/0.57 (step @p229 :rule chain_m_resolution :premises (@p228 @p186) :args (@t73 @t76 @t77)) % 0.36/0.57 (step @p230 :rule cnf_or_pos :args (@t86)) % 0.36/0.57 (step @p231 :rule reordering :premises (@p230) :args ((or @t74 @t85 @t84 (not @t86)))) % 0.36/0.57 (step @p232 :rule chain_m_resolution :premises (@p231 @p229 @p222 @p206) :args (@t84 (@list false true false) (@list @t73 @t85 @t86))) % 0.36/0.57 (step @p233 :rule symm :premises (@p232)) % 0.36/0.57 (step @p234 :rule refl :args (@t67)) % 0.36/0.57 (step @p235 :rule cong :premises (@p234 @p233) :args ((tptp.in @t67 @t70))) % 0.36/0.57 (step @p236 :rule not_implies_elim1 :premises (@p179)) % 0.36/0.57 (step @p237 :rule instantiate :premises (@p236) :args ((@list @t67 @t69))) % 0.36/0.57 (step @p238 :rule true_intro :premises (@p237)) % 0.36/0.57 (step @p239 :rule symm :premises (@p238)) % 0.36/0.57 (step @p240 :rule trans :premises (@p239 @p235 @p192)) % 0.36/0.57 (step @p241 false :rule eq_resolve :premises (@p240 @p7)) % 0.36/0.57 ) % 0.36/0.57 % SZS output end Proof % 0.36/0.57 % cvc5 exiting %------------------------------------------------------------------------------