%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU620^2 : 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 : n007.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 08:52:27 AM UTC 2026 % Result : Theorem 0.38s 0.57s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU620^2 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n007.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 17:42:56 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.49 %----Proving TH0 % 0.38/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.57 % SZS status Theorem % 0.38/0.57 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (declare-sort $$unsorted 0) % 0.38/0.57 (declare-const tptp.emptyset $$unsorted) % 0.38/0.57 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.kpairiskpair Bool) % 0.38/0.57 (define tptp.iskpair () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (_ tptp.setadjoin _let_2))) (let ((_let_4 (@var "A" $$unsorted))) (let ((_let_5 (_ tptp.setunion _let_4))) (lambda (@list _let_4) (exists (@list _let_2) (and (_ (_ tptp.in _let_2) _let_5) (exists (@list _let_1) (and (_ (_ tptp.in _let_1) _let_5) (= _let_4 (_ (_ tptp.setadjoin (_ _let_3 tptp.emptyset)) (_ (_ tptp.setadjoin (_ _let_3 (_ (_ tptp.setadjoin _let_1) tptp.emptyset))) tptp.emptyset)))))))))))))) % 0.38/0.57 (define tptp.kpair () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (_ tptp.setadjoin _let_2))) (lambda (@list _let_2 _let_1) (_ (_ tptp.setadjoin (_ _let_3 tptp.emptyset)) (_ (_ tptp.setadjoin (_ _let_3 (_ (_ tptp.setadjoin _let_1) tptp.emptyset))) tptp.emptyset))))))) % 0.38/0.57 (define @t1 () (@var "Xy" $$unsorted)) % 0.38/0.57 (define @t2 () (_ (_ tptp.setadjoin @t1) tptp.emptyset)) % 0.38/0.57 (define @t3 () (@var "Xx" $$unsorted)) % 0.38/0.57 (define @t4 () (_ tptp.setadjoin @t3)) % 0.38/0.57 (define @t5 () (_ @t4 @t2)) % 0.38/0.57 (define @t6 () (_ (_ tptp.setadjoin @t5) tptp.emptyset)) % 0.38/0.57 (define @t7 () (_ @t4 tptp.emptyset)) % 0.38/0.57 (define @t8 () (_ (_ tptp.setadjoin @t7) @t6)) % 0.38/0.57 (define @t9 () (@list @t3 @t1)) % 0.38/0.57 (define @t10 () (forall @t9 (_ tptp.iskpair @t8))) % 0.38/0.57 (define @t11 () (= tptp.kpairiskpair @t10)) % 0.38/0.57 (define @t12 () (forall @t9 (_ tptp.iskpair (_ (_ tptp.kpair @t3) @t1)))) % 0.38/0.57 (define @t13 () (=> tptp.kpairiskpair @t12)) % 0.38/0.57 (define @t14 () (not @t13)) % 0.38/0.57 (define @t15 () (@var "A" $$unsorted)) % 0.38/0.57 (define @t16 () (= @t15 @t8)) % 0.38/0.57 (define @t17 () (_ tptp.setunion @t15)) % 0.38/0.57 (define @t18 () (_ tptp.in @t1)) % 0.38/0.57 (define @t19 () (_ @t18 @t17)) % 0.38/0.57 (define @t20 () (and @t19 @t16)) % 0.38/0.57 (define @t21 () (@list @t1)) % 0.38/0.57 (define @t22 () (exists @t21 @t20)) % 0.38/0.57 (define @t23 () (_ tptp.in @t3)) % 0.38/0.57 (define @t24 () (_ @t23 @t17)) % 0.38/0.57 (define @t25 () (and @t24 @t22)) % 0.38/0.57 (define @t26 () (@list @t3)) % 0.38/0.57 (define @t27 () (exists @t26 @t25)) % 0.38/0.57 (define @t28 () (@list @t15)) % 0.38/0.57 (define @t29 () (lambda @t28 @t27)) % 0.38/0.57 (define @t30 () (lambda @t9 @t8)) % 0.38/0.57 (define @t31 () (@var "BOUND_VARIABLE_7480" $$unsorted)) % 0.38/0.57 (define @t32 () (tptp.setadjoin @t31 tptp.emptyset)) % 0.38/0.57 (define @t33 () (@var "BOUND_VARIABLE_7526" $$unsorted)) % 0.38/0.57 (define @t34 () (tptp.setadjoin (tptp.setadjoin @t33 tptp.emptyset) (tptp.setadjoin (tptp.setadjoin @t33 @t32) tptp.emptyset))) % 0.38/0.57 (define @t35 () (tptp.setadjoin @t1 tptp.emptyset)) % 0.38/0.57 (define @t36 () (tptp.setadjoin @t3 @t35)) % 0.38/0.57 (define @t37 () (tptp.setadjoin @t36 tptp.emptyset)) % 0.38/0.57 (define @t38 () (tptp.setadjoin @t3 tptp.emptyset)) % 0.38/0.57 (define @t39 () (tptp.setadjoin @t38 @t37)) % 0.38/0.57 (define @t40 () (= @t8 @t34)) % 0.38/0.57 (define @t41 () (not @t40)) % 0.38/0.57 (define @t42 () (tptp.setunion @t8)) % 0.38/0.57 (define @t43 () (tptp.in @t31 @t42)) % 0.38/0.57 (define @t44 () (not @t43)) % 0.38/0.57 (define @t45 () (tptp.in @t33 @t42)) % 0.38/0.57 (define @t46 () (not @t45)) % 0.38/0.57 (define @t47 () (or @t46 @t44 @t41)) % 0.38/0.57 (define @t48 () (@list @t33 @t31)) % 0.38/0.57 (define @t49 () (forall @t48 @t47)) % 0.38/0.57 (define @t50 () (not @t49)) % 0.38/0.57 (define @t51 () (tptp.setunion @t15)) % 0.38/0.57 (define @t52 () (not (tptp.in @t31 @t51))) % 0.38/0.57 (define @t53 () (not (= @t15 (tptp.setadjoin @t38 (tptp.setadjoin (tptp.setadjoin @t3 @t32) tptp.emptyset))))) % 0.38/0.57 (define @t54 () (tptp.in @t3 @t51)) % 0.38/0.57 (define @t55 () (not @t54)) % 0.38/0.57 (define @t56 () (or @t55 @t52 @t53)) % 0.38/0.57 (define @t57 () (@list @t3 @t31)) % 0.38/0.57 (define @t58 () (forall @t57 @t56)) % 0.38/0.57 (define @t59 () (not @t58)) % 0.38/0.57 (define @t60 () (lambda @t28 @t59)) % 0.38/0.57 (define @t61 () (lambda @t21 @t8)) % 0.38/0.57 (define @t62 () (_ @t30 @t3)) % 0.38/0.57 (define @t63 () (forall @t9 (_ @t60 (_ @t62 @t1)))) % 0.38/0.57 (define @t64 () (=> tptp.kpairiskpair @t63)) % 0.38/0.57 (define @t65 () (or @t52 @t53)) % 0.38/0.57 (define @t66 () (or @t55 @t65)) % 0.38/0.57 (define @t67 () (forall @t57 @t66)) % 0.38/0.57 (define @t68 () (@list @t31)) % 0.38/0.57 (define @t69 () (forall @t68 @t66)) % 0.38/0.57 (define @t70 () (forall @t68 @t65)) % 0.38/0.57 (define @t71 () (or @t55 @t70)) % 0.38/0.57 (define @t72 () (tptp.in @t1 @t51)) % 0.38/0.57 (define @t73 () (forall @t21 (or (not @t72) (not (= @t15 @t39))))) % 0.38/0.57 (define @t74 () (not @t24)) % 0.38/0.57 (define @t75 () (or @t74 @t73)) % 0.38/0.57 (define @t76 () (not @t73)) % 0.38/0.57 (define @t77 () (and @t24 @t76)) % 0.38/0.57 (define @t78 () (forall @t26 (not @t77))) % 0.38/0.57 (define @t79 () (not @t78)) % 0.38/0.57 (define @t80 () (not @t16)) % 0.38/0.57 (define @t81 () (not @t19)) % 0.38/0.57 (define @t82 () (or @t81 @t80)) % 0.38/0.57 (define @t83 () (forall @t21 (not @t20))) % 0.38/0.57 (define @t84 () (not @t83)) % 0.38/0.57 (define @t85 () (tptp.setunion @t39)) % 0.38/0.57 (define @t86 () (forall @t9 (not (forall @t48 (or (not (tptp.in @t33 @t85)) (not (tptp.in @t31 @t85)) (not (= @t39 @t34))))))) % 0.38/0.57 (define @t87 () (forall @t9 (_ @t60 @t8))) % 0.38/0.57 (assume @p1 @t11) % 0.38/0.57 (assume @p2 @t14) % 0.38/0.57 (assume @p3 true) % 0.38/0.57 (step @p4 (= tptp.iskpair @t29) :rule refl :args (@t29)) % 0.38/0.57 (step @p5 (= tptp.kpair @t30) :rule refl :args (@t30)) % 0.38/0.57 (step @p6 :rule refl :args (@t34)) % 0.38/0.57 (step @p7 :rule refl :args ((tptp.setadjoin @t7 @t6))) % 0.38/0.57 (step @p8 :rule refl :args ((tptp.setadjoin @t5 tptp.emptyset))) % 0.38/0.57 (step @p9 :rule refl :args (tptp.emptyset)) % 0.38/0.57 (step @p10 :rule refl :args ((tptp.setadjoin @t3 @t2))) % 0.38/0.57 (step @p11 :rule refl :args (@t35)) % 0.38/0.57 (step @p12 :rule refl :args (@t3)) % 0.38/0.57 (step @p13 :rule cong :premises (@p12 @p11) :args (@t36)) % 0.38/0.57 (step @p14 :rule trans :premises (@p13 @p10)) % 0.38/0.57 (step @p15 :rule cong :premises (@p14 @p9) :args (@t37)) % 0.38/0.57 (step @p16 :rule trans :premises (@p15 @p8)) % 0.38/0.57 (step @p17 :rule refl :args (@t38)) % 0.38/0.57 (step @p18 :rule cong :premises (@p17 @p16) :args (@t39)) % 0.38/0.57 (step @p19 :rule trans :premises (@p18 @p7)) % 0.38/0.57 (step @p20 :rule refl :args (tptp.setadjoin)) % 0.38/0.57 (step @p21 :rule ho_cong :premises (@p20 @p17)) % 0.38/0.57 (step @p22 :rule ho_cong :premises (@p21 @p16)) % 0.38/0.57 (step @p23 :rule cong :premises (@p22 @p19) :args ((= (_ (_ tptp.setadjoin @t38) @t37) @t39))) % 0.38/0.57 (step @p24 :rule symm :premises (@p23)) % 0.38/0.57 (step @p25 :rule refl :args (@t8)) % 0.38/0.57 (step @p26 :rule eq_resolve :premises (@p25 @p24)) % 0.38/0.57 (step @p27 :rule ho_cong :premises (@p20 @p14)) % 0.38/0.57 (step @p28 :rule ho_cong :premises (@p27 @p9)) % 0.38/0.57 (step @p29 :rule cong :premises (@p28 @p16) :args ((= (_ (_ tptp.setadjoin @t36) tptp.emptyset) @t37))) % 0.38/0.57 (step @p30 :rule symm :premises (@p29)) % 0.38/0.57 (step @p31 :rule refl :args (@t6)) % 0.38/0.57 (step @p32 :rule eq_resolve :premises (@p31 @p30)) % 0.38/0.57 (step @p33 :rule refl :args (@t4)) % 0.38/0.57 (step @p34 :rule ho_cong :premises (@p33 @p11)) % 0.38/0.57 (step @p35 :rule cong :premises (@p34 @p14) :args ((= (_ @t4 @t35) @t36))) % 0.38/0.57 (step @p36 :rule symm :premises (@p35)) % 0.38/0.57 (step @p37 :rule refl :args (@t5)) % 0.38/0.57 (step @p38 :rule eq_resolve :premises (@p37 @p36)) % 0.38/0.57 (step @p39 :rule refl :args (@t2)) % 0.38/0.57 (step @p40 :rule cong :premises (@p39 @p11) :args ((= @t2 @t35))) % 0.38/0.57 (step @p41 :rule symm :premises (@p40)) % 0.38/0.57 (step @p42 :rule eq_resolve :premises (@p39 @p41)) % 0.38/0.57 (step @p43 :rule ho_cong :premises (@p33 @p42)) % 0.38/0.57 (step @p44 :rule trans :premises (@p43 @p38)) % 0.38/0.57 (step @p45 :rule ho_cong :premises (@p20 @p44)) % 0.38/0.57 (step @p46 :rule ho_cong :premises (@p45 @p9)) % 0.38/0.57 (step @p47 :rule trans :premises (@p46 @p32)) % 0.38/0.57 (step @p48 :rule refl :args (@t7)) % 0.38/0.57 (step @p49 :rule cong :premises (@p48 @p17) :args ((= @t7 @t38))) % 0.38/0.57 (step @p50 :rule symm :premises (@p49)) % 0.38/0.57 (step @p51 :rule eq_resolve :premises (@p48 @p50)) % 0.38/0.57 (step @p52 :rule ho_cong :premises (@p20 @p51)) % 0.38/0.57 (step @p53 :rule ho_cong :premises (@p52 @p47)) % 0.38/0.57 (step @p54 :rule trans :premises (@p53 @p26)) % 0.38/0.57 (step @p55 :rule cong :premises (@p54 @p6) :args (@t40)) % 0.38/0.57 (step @p56 :rule cong :premises (@p55) :args (@t41)) % 0.38/0.57 (step @p57 :rule cong :premises (@p54) :args (@t42)) % 0.38/0.57 (step @p58 :rule refl :args (@t31)) % 0.38/0.57 (step @p59 :rule cong :premises (@p58 @p57) :args (@t43)) % 0.38/0.57 (step @p60 :rule cong :premises (@p59) :args (@t44)) % 0.38/0.57 (step @p61 :rule refl :args (@t33)) % 0.38/0.57 (step @p62 :rule cong :premises (@p61 @p57) :args (@t45)) % 0.38/0.57 (step @p63 :rule cong :premises (@p62) :args (@t46)) % 0.38/0.57 (step @p64 :rule nary_cong :premises (@p63 @p60 @p56) :args (@t47)) % 0.38/0.57 (step @p65 :rule cong :premises (@p64) :args (@t49)) % 0.38/0.57 (step @p66 :rule cong :premises (@p65) :args (@t50)) % 0.38/0.57 (step @p67 :rule beta-reduce :args ((= (_ (lambda @t28 (not (forall @t48 (or (not (tptp.in @t33 @t51)) @t52 (not (= @t15 @t34)))))) @t8) @t50))) % 0.38/0.57 (step @p68 :rule trans :premises (@p67 @p66)) % 0.38/0.57 (step @p69 :rule alpha_equiv :args (@t58 (@list @t3) (@list @t33))) % 0.38/0.57 (step @p70 :rule cong :premises (@p69) :args (@t59)) % 0.38/0.57 (step @p71 :rule cong :premises (@p70) :args (@t60)) % 0.38/0.57 (step @p72 :rule ho_cong :premises (@p71 @p25)) % 0.38/0.57 (step @p73 :rule trans :premises (@p72 @p68)) % 0.38/0.57 (step @p74 :rule beta-reduce :args ((= (_ @t61 @t1) @t8))) % 0.38/0.57 (step @p75 :rule refl :args (@t1)) % 0.38/0.57 (step @p76 :rule beta-reduce :args ((= @t62 @t61))) % 0.38/0.57 (step @p77 :rule ho_cong :premises (@p76 @p75)) % 0.38/0.57 (step @p78 :rule trans :premises (@p77 @p74)) % 0.38/0.57 (step @p79 :rule refl :args (@t60)) % 0.38/0.57 (step @p80 :rule ho_cong :premises (@p79 @p78)) % 0.38/0.57 (step @p81 :rule trans :premises (@p80 @p73)) % 0.38/0.57 (step @p82 :rule cong :premises (@p81) :args (@t63)) % 0.38/0.57 (step @p83 :rule refl :args (tptp.kpairiskpair)) % 0.38/0.57 (step @p84 :rule cong :premises (@p83 @p82) :args (@t64)) % 0.38/0.57 (step @p85 :rule cong :premises (@p84) :args ((not @t64))) % 0.38/0.57 (step @p86 :rule refl :args (@t3)) % 0.38/0.57 (step @p87 :rule ho_cong :premises (@p5 @p86)) % 0.38/0.57 (step @p88 :rule ho_cong :premises (@p87 @p75)) % 0.38/0.57 (step @p89 :rule aci_norm :args ((= @t66 @t56))) % 0.38/0.57 (step @p90 :rule cong :premises (@p89) :args (@t67)) % 0.38/0.57 (step @p91 :rule quant-merge-prenex :args ((= (forall @t26 @t69) @t67))) % 0.38/0.57 (step @p92 :rule alpha_equiv :args (@t70 (@list @t31) (@list @t1))) % 0.38/0.57 (step @p93 :rule refl :args (@t55)) % 0.38/0.57 (step @p94 :rule nary_cong :premises (@p93 @p92) :args (@t71)) % 0.38/0.57 (step @p95 :rule quant-miniscope-or :args ((= @t69 @t71))) % 0.38/0.57 (step @p96 :rule trans :premises (@p95 @p94)) % 0.38/0.57 (step @p97 :rule symm :premises (@p96)) % 0.38/0.57 (step @p98 :rule cong :premises (@p97) :args ((forall @t26 (or @t55 @t73)))) % 0.38/0.57 (step @p99 :rule trans :premises (@p98 @p91)) % 0.38/0.57 (step @p100 :rule trans :premises (@p99 @p90)) % 0.38/0.57 (step @p101 :rule refl :args (@t73)) % 0.38/0.57 (step @p102 :rule refl :args ((tptp.in @t3 @t17))) % 0.38/0.57 (step @p103 :rule refl :args (@t51)) % 0.38/0.57 (step @p104 :rule cong :premises (@p12 @p103) :args (@t54)) % 0.38/0.57 (step @p105 :rule trans :premises (@p104 @p102)) % 0.38/0.57 (step @p106 :rule refl :args (@t23)) % 0.38/0.57 (step @p107 :rule ho_cong :premises (@p106 @p103)) % 0.38/0.57 (step @p108 :rule cong :premises (@p107 @p105) :args ((= (_ @t23 @t51) @t54))) % 0.38/0.57 (step @p109 :rule symm :premises (@p108)) % 0.38/0.57 (step @p110 :rule refl :args (@t24)) % 0.38/0.57 (step @p111 :rule eq_resolve :premises (@p110 @p109)) % 0.38/0.57 (step @p112 :rule refl :args (@t17)) % 0.38/0.57 (step @p113 :rule cong :premises (@p112 @p103) :args ((= @t17 @t51))) % 0.38/0.57 (step @p114 :rule symm :premises (@p113)) % 0.38/0.57 (step @p115 :rule eq_resolve :premises (@p112 @p114)) % 0.38/0.57 (step @p116 :rule ho_cong :premises (@p106 @p115)) % 0.38/0.57 (step @p117 :rule trans :premises (@p116 @p111)) % 0.38/0.57 (step @p118 :rule cong :premises (@p117) :args (@t74)) % 0.38/0.57 (step @p119 :rule nary_cong :premises (@p118 @p101) :args (@t75)) % 0.38/0.57 (step @p120 :rule cong :premises (@p119) :args ((forall @t26 @t75))) % 0.38/0.57 (step @p121 :rule trans :premises (@p120 @p100)) % 0.38/0.57 (step @p122 :rule bool-double-not-elim :args (@t73)) % 0.38/0.57 (step @p123 :rule refl :args (@t74)) % 0.38/0.57 (step @p124 :rule nary_cong :premises (@p123 @p122) :args ((or @t74 (not @t76)))) % 0.38/0.57 (step @p125 :rule bool-and-de-morgan :args (@t24 @t76 true)) % 0.38/0.57 (step @p126 :rule trans :premises (@p125 @p124)) % 0.38/0.57 (step @p127 :rule cong :premises (@p126) :args (@t78)) % 0.38/0.57 (step @p128 :rule trans :premises (@p127 @p121)) % 0.38/0.57 (step @p129 :rule cong :premises (@p128) :args (@t79)) % 0.38/0.57 (step @p130 :rule exists-elim :args ((= (exists @t26 @t77) @t79))) % 0.38/0.57 (step @p131 :rule trans :premises (@p130 @p129)) % 0.38/0.57 (step @p132 :rule refl :args (@t15)) % 0.38/0.57 (step @p133 :rule cong :premises (@p132 @p54) :args (@t16)) % 0.38/0.57 (step @p134 :rule cong :premises (@p133) :args (@t80)) % 0.38/0.57 (step @p135 :rule refl :args ((tptp.in @t1 @t17))) % 0.38/0.57 (step @p136 :rule refl :args (@t1)) % 0.38/0.57 (step @p137 :rule cong :premises (@p136 @p103) :args (@t72)) % 0.38/0.57 (step @p138 :rule trans :premises (@p137 @p135)) % 0.38/0.57 (step @p139 :rule refl :args (@t18)) % 0.38/0.57 (step @p140 :rule ho_cong :premises (@p139 @p103)) % 0.38/0.57 (step @p141 :rule cong :premises (@p140 @p138) :args ((= (_ @t18 @t51) @t72))) % 0.38/0.57 (step @p142 :rule symm :premises (@p141)) % 0.38/0.57 (step @p143 :rule refl :args (@t19)) % 0.38/0.57 (step @p144 :rule eq_resolve :premises (@p143 @p142)) % 0.38/0.57 (step @p145 :rule ho_cong :premises (@p139 @p115)) % 0.38/0.57 (step @p146 :rule trans :premises (@p145 @p144)) % 0.38/0.57 (step @p147 :rule cong :premises (@p146) :args (@t81)) % 0.38/0.57 (step @p148 :rule nary_cong :premises (@p147 @p134) :args (@t82)) % 0.38/0.57 (step @p149 :rule cong :premises (@p148) :args ((forall @t21 @t82))) % 0.38/0.57 (step @p150 :rule bool-and-de-morgan :args (@t19 @t16 true)) % 0.38/0.57 (step @p151 :rule cong :premises (@p150) :args (@t83)) % 0.38/0.57 (step @p152 :rule trans :premises (@p151 @p149)) % 0.38/0.57 (step @p153 :rule cong :premises (@p152) :args (@t84)) % 0.38/0.57 (step @p154 :rule exists-elim :args ((= @t22 @t84))) % 0.38/0.57 (step @p155 :rule trans :premises (@p154 @p153)) % 0.38/0.57 (step @p156 :rule refl :args (@t24)) % 0.38/0.57 (step @p157 :rule nary_cong :premises (@p156 @p155) :args (@t25)) % 0.38/0.57 (step @p158 :rule cong :premises (@p157) :args (@t27)) % 0.38/0.57 (step @p159 :rule trans :premises (@p158 @p131)) % 0.38/0.57 (step @p160 :rule cong :premises (@p159) :args (@t29)) % 0.38/0.57 (step @p161 :rule trans :premises (@p4 @p160)) % 0.38/0.57 (step @p162 :rule ho_cong :premises (@p161 @p88)) % 0.38/0.57 (step @p163 :rule cong :premises (@p162) :args (@t12)) % 0.38/0.57 (step @p164 :rule cong :premises (@p83 @p163) :args (@t13)) % 0.38/0.57 (step @p165 :rule cong :premises (@p164) :args (@t14)) % 0.38/0.57 (step @p166 :rule trans :premises (@p165 @p85)) % 0.38/0.57 (step @p167 :rule eq_resolve :premises (@p2 @p166)) % 0.38/0.57 (step @p168 :rule not_implies_elim2 :premises (@p167)) % 0.38/0.57 (step @p169 :rule not_implies_elim1 :premises (@p167)) % 0.38/0.57 (step @p170 :rule cnf_equiv_pos1 :args ((= tptp.kpairiskpair @t86))) % 0.38/0.57 (step @p171 :rule chain_resolution :premises (@p170 @p169 @p168) :args ((@list false true) (@list tptp.kpairiskpair @t86))) % 0.38/0.57 (step @p172 :rule cong :premises (@p73) :args (@t87)) % 0.38/0.57 (step @p173 :rule cong :premises (@p83 @p172) :args ((= tptp.kpairiskpair @t87))) % 0.38/0.57 (step @p174 :rule refl :args (@t8)) % 0.38/0.57 (step @p175 :rule ho_cong :premises (@p161 @p174)) % 0.38/0.57 (step @p176 :rule cong :premises (@p175) :args (@t10)) % 0.38/0.57 (step @p177 :rule cong :premises (@p83 @p176) :args (@t11)) % 0.38/0.57 (step @p178 :rule trans :premises (@p177 @p173)) % 0.38/0.57 (step @p179 :rule eq_resolve :premises (@p1 @p178)) % 0.38/0.57 (step @p180 false :rule contra :premises (@p179 @p171)) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------