%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU658^2 : 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 08:52:36 AM UTC 2026 % Result : Theorem 0.37s 0.57s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU658^2 : 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 % 0.17/0.34 % Computer : n015.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 17:45:04 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.49 %----Proving TH0 % 0.37/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.57 % SZS status Theorem % 0.37/0.57 % SZS output start Proof % 0.37/0.57 ( % 0.37/0.57 (declare-sort $$unsorted 0) % 0.37/0.57 (declare-const tptp.ksnd (-> $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.cartprodmempair1 Bool) % 0.37/0.57 (declare-const tptp.cartprod (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.ksndpairEq Bool) % 0.37/0.57 (declare-const tptp.kpair (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (define @t1 () (@var "Xy" $$unsorted)) % 0.37/0.57 (define @t2 () (@var "Xx" $$unsorted)) % 0.37/0.57 (define @t3 () (_ (_ tptp.kpair @t2) @t1)) % 0.37/0.57 (define @t4 () (@var "Xu" $$unsorted)) % 0.37/0.57 (define @t5 () (= @t4 @t3)) % 0.37/0.57 (define @t6 () (@var "B" $$unsorted)) % 0.37/0.57 (define @t7 () (_ (_ tptp.in @t1) @t6)) % 0.37/0.57 (define @t8 () (and @t7 @t5)) % 0.37/0.57 (define @t9 () (@list @t1)) % 0.37/0.57 (define @t10 () (exists @t9 @t8)) % 0.37/0.57 (define @t11 () (@var "A" $$unsorted)) % 0.37/0.57 (define @t12 () (_ (_ tptp.in @t2) @t11)) % 0.37/0.57 (define @t13 () (and @t12 @t10)) % 0.37/0.57 (define @t14 () (@list @t2)) % 0.37/0.58 (define @t15 () (exists @t14 @t13)) % 0.37/0.58 (define @t16 () (_ (_ tptp.cartprod @t11) @t6)) % 0.37/0.58 (define @t17 () (_ tptp.in @t4)) % 0.37/0.58 (define @t18 () (_ @t17 @t16)) % 0.37/0.58 (define @t19 () (=> @t18 @t15)) % 0.37/0.58 (define @t20 () (@list @t11 @t6 @t4)) % 0.37/0.58 (define @t21 () (forall @t20 @t19)) % 0.37/0.58 (define @t22 () (= tptp.cartprodmempair1 @t21)) % 0.37/0.58 (define @t23 () (_ tptp.ksnd @t3)) % 0.37/0.58 (define @t24 () (@list @t2 @t1)) % 0.37/0.58 (define @t25 () (forall @t24 (= @t23 @t1))) % 0.37/0.58 (define @t26 () (= tptp.ksndpairEq @t25)) % 0.37/0.58 (define @t27 () (_ tptp.ksnd @t4)) % 0.37/0.58 (define @t28 () (_ (_ tptp.in @t27) @t6)) % 0.37/0.58 (define @t29 () (forall @t20 (=> @t18 @t28))) % 0.37/0.58 (define @t30 () (=> tptp.ksndpairEq @t29)) % 0.37/0.58 (define @t31 () (=> tptp.cartprodmempair1 @t30)) % 0.37/0.58 (define @t32 () (not @t31)) % 0.37/0.58 (define @t33 () (tptp.ksnd @t4)) % 0.37/0.58 (define @t34 () (tptp.in @t33 @t6)) % 0.37/0.58 (define @t35 () (tptp.cartprod @t11 @t6)) % 0.37/0.58 (define @t36 () (tptp.in @t4 @t35)) % 0.37/0.58 (define @t37 () (not @t36)) % 0.37/0.58 (define @t38 () (forall @t20 (or @t37 @t34))) % 0.37/0.58 (define @t39 () (tptp.kpair @t2 @t1)) % 0.37/0.58 (define @t40 () (tptp.ksnd @t39)) % 0.37/0.58 (define @t41 () (= @t1 @t23)) % 0.37/0.58 (define @t42 () (=> tptp.ksndpairEq @t38)) % 0.37/0.58 (define @t43 () (@var "BOUND_VARIABLE_7482" $$unsorted)) % 0.37/0.58 (define @t44 () (tptp.kpair @t2 @t43)) % 0.37/0.58 (define @t45 () (not (= @t4 @t44))) % 0.37/0.58 (define @t46 () (not (tptp.in @t43 @t6))) % 0.37/0.58 (define @t47 () (tptp.in @t2 @t11)) % 0.37/0.58 (define @t48 () (not @t47)) % 0.37/0.58 (define @t49 () (or @t48 @t46 @t45)) % 0.37/0.58 (define @t50 () (@list @t2 @t43)) % 0.37/0.58 (define @t51 () (not (forall @t50 @t49))) % 0.37/0.58 (define @t52 () (not @t18)) % 0.37/0.58 (define @t53 () (or @t52 @t51)) % 0.37/0.58 (define @t54 () (or @t46 @t45)) % 0.37/0.58 (define @t55 () (or @t48 @t54)) % 0.37/0.58 (define @t56 () (forall @t50 @t55)) % 0.37/0.58 (define @t57 () (@list @t43)) % 0.37/0.58 (define @t58 () (forall @t57 @t55)) % 0.37/0.58 (define @t59 () (forall @t57 @t54)) % 0.37/0.58 (define @t60 () (or @t48 @t59)) % 0.37/0.58 (define @t61 () (tptp.in @t1 @t6)) % 0.37/0.58 (define @t62 () (forall @t9 (or (not @t61) (not (= @t4 @t39))))) % 0.37/0.58 (define @t63 () (not @t12)) % 0.37/0.58 (define @t64 () (or @t63 @t62)) % 0.37/0.58 (define @t65 () (not @t62)) % 0.37/0.58 (define @t66 () (and @t12 @t65)) % 0.37/0.58 (define @t67 () (forall @t14 (not @t66))) % 0.37/0.58 (define @t68 () (not @t67)) % 0.37/0.58 (define @t69 () (not @t5)) % 0.37/0.58 (define @t70 () (not @t7)) % 0.37/0.58 (define @t71 () (or @t70 @t69)) % 0.37/0.58 (define @t72 () (forall @t9 (not @t8))) % 0.37/0.58 (define @t73 () (not @t72)) % 0.37/0.58 (define @t74 () (=> tptp.cartprodmempair1 @t42)) % 0.37/0.58 (define @t75 () (or @t52 @t28)) % 0.37/0.58 (define @t76 () (@quantifiers_skolemize @t38 2)) % 0.37/0.58 (define @t77 () (not (= @t76 @t44))) % 0.37/0.58 (define @t78 () (@quantifiers_skolemize @t38 1)) % 0.37/0.58 (define @t79 () (not (tptp.in @t43 @t78))) % 0.37/0.58 (define @t80 () (@quantifiers_skolemize @t38 0)) % 0.37/0.58 (define @t81 () (not (tptp.in @t2 @t80))) % 0.37/0.58 (define @t82 () (or @t81 @t79 @t77)) % 0.37/0.58 (define @t83 () (forall @t50 @t82)) % 0.37/0.58 (define @t84 () (not @t83)) % 0.37/0.58 (define @t85 () (tptp.in @t76 (tptp.cartprod @t80 @t78))) % 0.37/0.58 (define @t86 () (not @t85)) % 0.37/0.58 (define @t87 () (or @t86 @t84)) % 0.37/0.58 (define @t88 () (forall @t20 (or @t37 @t51))) % 0.37/0.58 (define @t89 () (forall @t50 (or @t81 @t79 (not (= @t44 @t76))))) % 0.37/0.58 (define @t90 () (not @t89)) % 0.37/0.58 (define @t91 () (or @t86 @t90)) % 0.37/0.58 (define @t92 () (tptp.ksnd @t76)) % 0.37/0.58 (define @t93 () (tptp.in @t92 @t78)) % 0.37/0.58 (define @t94 () (or @t86 @t93)) % 0.37/0.58 (define @t95 () (@list true)) % 0.37/0.58 (define @t96 () (@list @t94)) % 0.37/0.58 (define @t97 () (@quantifiers_skolemize @t89 1)) % 0.37/0.58 (define @t98 () (@quantifiers_skolemize @t89 0)) % 0.37/0.58 (define @t99 () (tptp.kpair @t98 @t97)) % 0.37/0.58 (define @t100 () (= @t76 @t99)) % 0.37/0.58 (define @t101 () (not @t100)) % 0.37/0.58 (define @t102 () (tptp.in @t97 @t78)) % 0.37/0.58 (define @t103 () (not @t102)) % 0.37/0.58 (define @t104 () (not (tptp.in @t98 @t80))) % 0.37/0.58 (define @t105 () (or @t104 @t103 @t101)) % 0.37/0.58 (define @t106 () (not @t105)) % 0.37/0.58 (define @t107 () (not (= @t99 @t76))) % 0.37/0.58 (define @t108 () (or @t104 @t103 @t107)) % 0.37/0.58 (define @t109 () (not @t108)) % 0.37/0.58 (define @t110 () (@list @t105)) % 0.37/0.58 (assume @p1 @t22) % 0.37/0.58 (assume @p2 @t26) % 0.37/0.58 (assume @p3 @t32) % 0.37/0.58 (assume @p4 true) % 0.37/0.58 (step @p5 :rule evaluate :args ((= false true))) % 0.37/0.58 (step @p6 :rule refl :args (@t38)) % 0.37/0.58 (step @p7 :rule refl :args ((tptp.ksnd @t3))) % 0.37/0.58 (step @p8 :rule refl :args (@t39)) % 0.37/0.58 (step @p9 :rule cong :premises (@p8) :args (@t40)) % 0.37/0.58 (step @p10 :rule trans :premises (@p9 @p7)) % 0.37/0.58 (step @p11 :rule refl :args (tptp.ksnd)) % 0.37/0.58 (step @p12 :rule ho_cong :premises (@p11 @p8)) % 0.37/0.58 (step @p13 :rule cong :premises (@p12 @p10) :args ((= (_ tptp.ksnd @t39) @t40))) % 0.37/0.58 (step @p14 :rule symm :premises (@p13)) % 0.37/0.58 (step @p15 :rule refl :args (@t23)) % 0.37/0.58 (step @p16 :rule eq_resolve :premises (@p15 @p14)) % 0.37/0.58 (step @p17 :rule refl :args (@t3)) % 0.37/0.58 (step @p18 :rule cong :premises (@p17 @p8) :args ((= @t3 @t39))) % 0.37/0.58 (step @p19 :rule symm :premises (@p18)) % 0.37/0.58 (step @p20 :rule eq_resolve :premises (@p17 @p19)) % 0.37/0.58 (step @p21 :rule ho_cong :premises (@p11 @p20)) % 0.37/0.58 (step @p22 :rule trans :premises (@p21 @p16)) % 0.37/0.58 (step @p23 :rule refl :args (@t1)) % 0.37/0.58 (step @p24 :rule cong :premises (@p23 @p22) :args (@t41)) % 0.37/0.58 (step @p25 :rule cong :premises (@p24) :args ((forall @t24 @t41))) % 0.37/0.58 (step @p26 :rule eq-symm :args (@t23 @t1)) % 0.37/0.58 (step @p27 :rule cong :premises (@p26) :args (@t25)) % 0.37/0.58 (step @p28 :rule trans :premises (@p27 @p25)) % 0.37/0.58 (step @p29 :rule refl :args (tptp.ksndpairEq)) % 0.37/0.58 (step @p30 :rule cong :premises (@p29 @p28) :args (@t26)) % 0.37/0.58 (step @p31 :rule eq_resolve :premises (@p2 @p30)) % 0.37/0.58 (step @p32 :rule cong :premises (@p31 @p6) :args (@t42)) % 0.37/0.58 (step @p33 :rule refl :args (@t51)) % 0.37/0.58 (step @p34 :rule refl :args ((tptp.in @t4 @t16))) % 0.37/0.58 (step @p35 :rule refl :args (@t35)) % 0.37/0.58 (step @p36 :rule refl :args (@t4)) % 0.37/0.58 (step @p37 :rule cong :premises (@p36 @p35) :args (@t36)) % 0.37/0.58 (step @p38 :rule trans :premises (@p37 @p34)) % 0.37/0.58 (step @p39 :rule refl :args (@t17)) % 0.37/0.58 (step @p40 :rule ho_cong :premises (@p39 @p35)) % 0.37/0.58 (step @p41 :rule cong :premises (@p40 @p38) :args ((= (_ @t17 @t35) @t36))) % 0.37/0.58 (step @p42 :rule symm :premises (@p41)) % 0.37/0.58 (step @p43 :rule refl :args (@t18)) % 0.37/0.58 (step @p44 :rule eq_resolve :premises (@p43 @p42)) % 0.37/0.58 (step @p45 :rule refl :args (@t16)) % 0.37/0.58 (step @p46 :rule cong :premises (@p45 @p35) :args ((= @t16 @t35))) % 0.37/0.58 (step @p47 :rule symm :premises (@p46)) % 0.37/0.58 (step @p48 :rule eq_resolve :premises (@p45 @p47)) % 0.37/0.58 (step @p49 :rule ho_cong :premises (@p39 @p48)) % 0.37/0.58 (step @p50 :rule trans :premises (@p49 @p44)) % 0.37/0.58 (step @p51 :rule cong :premises (@p50) :args (@t52)) % 0.37/0.58 (step @p52 :rule nary_cong :premises (@p51 @p33) :args (@t53)) % 0.37/0.58 (step @p53 :rule cong :premises (@p52) :args ((forall @t20 @t53))) % 0.37/0.58 (step @p54 :rule bool-impl-elim :args (@t18 @t51)) % 0.37/0.58 (step @p55 :rule cong :premises (@p54) :args ((forall @t20 (=> @t18 @t51)))) % 0.37/0.58 (step @p56 :rule trans :premises (@p55 @p53)) % 0.37/0.58 (step @p57 :rule aci_norm :args ((= @t55 @t49))) % 0.37/0.58 (step @p58 :rule cong :premises (@p57) :args (@t56)) % 0.37/0.58 (step @p59 :rule quant-merge-prenex :args ((= (forall @t14 @t58) @t56))) % 0.37/0.58 (step @p60 :rule alpha_equiv :args (@t59 (@list @t43) (@list @t1))) % 0.37/0.58 (step @p61 :rule refl :args (@t48)) % 0.37/0.58 (step @p62 :rule nary_cong :premises (@p61 @p60) :args (@t60)) % 0.37/0.58 (step @p63 :rule quant-miniscope-or :args ((= @t58 @t60))) % 0.37/0.58 (step @p64 :rule trans :premises (@p63 @p62)) % 0.37/0.58 (step @p65 :rule symm :premises (@p64)) % 0.37/0.58 (step @p66 :rule cong :premises (@p65) :args ((forall @t14 (or @t48 @t62)))) % 0.37/0.58 (step @p67 :rule trans :premises (@p66 @p59)) % 0.37/0.58 (step @p68 :rule trans :premises (@p67 @p58)) % 0.37/0.58 (step @p69 :rule refl :args (@t62)) % 0.37/0.58 (step @p70 :rule refl :args (@t47)) % 0.37/0.58 (step @p71 :rule refl :args (@t12)) % 0.37/0.58 (step @p72 :rule cong :premises (@p71 @p70) :args ((= @t12 @t47))) % 0.37/0.58 (step @p73 :rule symm :premises (@p72)) % 0.37/0.58 (step @p74 :rule eq_resolve :premises (@p71 @p73)) % 0.37/0.58 (step @p75 :rule cong :premises (@p74) :args (@t63)) % 0.37/0.58 (step @p76 :rule nary_cong :premises (@p75 @p69) :args (@t64)) % 0.37/0.58 (step @p77 :rule cong :premises (@p76) :args ((forall @t14 @t64))) % 0.37/0.58 (step @p78 :rule trans :premises (@p77 @p68)) % 0.37/0.58 (step @p79 :rule bool-double-not-elim :args (@t62)) % 0.37/0.58 (step @p80 :rule refl :args (@t63)) % 0.37/0.58 (step @p81 :rule nary_cong :premises (@p80 @p79) :args ((or @t63 (not @t65)))) % 0.37/0.58 (step @p82 :rule bool-and-de-morgan :args (@t12 @t65 true)) % 0.37/0.58 (step @p83 :rule trans :premises (@p82 @p81)) % 0.37/0.58 (step @p84 :rule cong :premises (@p83) :args (@t67)) % 0.37/0.58 (step @p85 :rule trans :premises (@p84 @p78)) % 0.37/0.58 (step @p86 :rule cong :premises (@p85) :args (@t68)) % 0.37/0.58 (step @p87 :rule exists-elim :args ((= (exists @t14 @t66) @t68))) % 0.37/0.58 (step @p88 :rule trans :premises (@p87 @p86)) % 0.37/0.58 (step @p89 :rule cong :premises (@p36 @p20) :args (@t5)) % 0.37/0.58 (step @p90 :rule cong :premises (@p89) :args (@t69)) % 0.37/0.58 (step @p91 :rule refl :args (@t61)) % 0.37/0.58 (step @p92 :rule refl :args (@t7)) % 0.37/0.58 (step @p93 :rule cong :premises (@p92 @p91) :args ((= @t7 @t61))) % 0.37/0.58 (step @p94 :rule symm :premises (@p93)) % 0.37/0.58 (step @p95 :rule eq_resolve :premises (@p92 @p94)) % 0.37/0.58 (step @p96 :rule cong :premises (@p95) :args (@t70)) % 0.37/0.58 (step @p97 :rule nary_cong :premises (@p96 @p90) :args (@t71)) % 0.37/0.58 (step @p98 :rule cong :premises (@p97) :args ((forall @t9 @t71))) % 0.37/0.58 (step @p99 :rule bool-and-de-morgan :args (@t7 @t5 true)) % 0.37/0.58 (step @p100 :rule cong :premises (@p99) :args (@t72)) % 0.37/0.58 (step @p101 :rule trans :premises (@p100 @p98)) % 0.37/0.58 (step @p102 :rule cong :premises (@p101) :args (@t73)) % 0.37/0.58 (step @p103 :rule exists-elim :args ((= @t10 @t73))) % 0.37/0.58 (step @p104 :rule trans :premises (@p103 @p102)) % 0.37/0.58 (step @p105 :rule refl :args (@t12)) % 0.37/0.58 (step @p106 :rule nary_cong :premises (@p105 @p104) :args (@t13)) % 0.37/0.58 (step @p107 :rule cong :premises (@p106) :args (@t15)) % 0.37/0.58 (step @p108 :rule trans :premises (@p107 @p88)) % 0.37/0.58 (step @p109 :rule refl :args (@t18)) % 0.37/0.58 (step @p110 :rule cong :premises (@p109 @p108) :args (@t19)) % 0.37/0.58 (step @p111 :rule cong :premises (@p110) :args (@t21)) % 0.37/0.58 (step @p112 :rule trans :premises (@p111 @p56)) % 0.37/0.58 (step @p113 :rule refl :args (tptp.cartprodmempair1)) % 0.37/0.58 (step @p114 :rule cong :premises (@p113 @p112) :args (@t22)) % 0.37/0.58 (step @p115 :rule eq_resolve :premises (@p1 @p114)) % 0.37/0.58 (step @p116 :rule cong :premises (@p115 @p32) :args (@t74)) % 0.37/0.58 (step @p117 :rule cong :premises (@p116) :args ((not @t74))) % 0.37/0.58 (step @p118 :rule refl :args ((tptp.in @t27 @t6))) % 0.37/0.58 (step @p119 :rule refl :args (@t6)) % 0.37/0.58 (step @p120 :rule refl :args (@t33)) % 0.37/0.58 (step @p121 :rule cong :premises (@p120 @p119) :args (@t34)) % 0.37/0.58 (step @p122 :rule trans :premises (@p121 @p118)) % 0.37/0.58 (step @p123 :rule refl :args (tptp.in)) % 0.37/0.58 (step @p124 :rule ho_cong :premises (@p123 @p120)) % 0.37/0.58 (step @p125 :rule ho_cong :premises (@p124 @p119)) % 0.37/0.58 (step @p126 :rule cong :premises (@p125 @p122) :args ((= (_ (_ tptp.in @t33) @t6) @t34))) % 0.37/0.58 (step @p127 :rule symm :premises (@p126)) % 0.37/0.58 (step @p128 :rule refl :args (@t28)) % 0.37/0.58 (step @p129 :rule eq_resolve :premises (@p128 @p127)) % 0.37/0.58 (step @p130 :rule refl :args (@t27)) % 0.37/0.58 (step @p131 :rule cong :premises (@p130 @p120) :args ((= @t27 @t33))) % 0.37/0.58 (step @p132 :rule symm :premises (@p131)) % 0.37/0.58 (step @p133 :rule eq_resolve :premises (@p130 @p132)) % 0.37/0.58 (step @p134 :rule ho_cong :premises (@p123 @p133)) % 0.37/0.58 (step @p135 :rule ho_cong :premises (@p134 @p119)) % 0.37/0.58 (step @p136 :rule trans :premises (@p135 @p129)) % 0.37/0.58 (step @p137 :rule nary_cong :premises (@p51 @p136) :args (@t75)) % 0.37/0.58 (step @p138 :rule cong :premises (@p137) :args ((forall @t20 @t75))) % 0.37/0.58 (step @p139 :rule bool-impl-elim :args (@t18 @t28)) % 0.37/0.58 (step @p140 :rule cong :premises (@p139) :args (@t29)) % 0.37/0.58 (step @p141 :rule trans :premises (@p140 @p138)) % 0.37/0.58 (step @p142 :rule cong :premises (@p29 @p141) :args (@t30)) % 0.37/0.58 (step @p143 :rule cong :premises (@p113 @p142) :args (@t31)) % 0.37/0.58 (step @p144 :rule cong :premises (@p143) :args (@t32)) % 0.37/0.58 (step @p145 :rule trans :premises (@p144 @p117)) % 0.37/0.58 (step @p146 :rule eq_resolve :premises (@p3 @p145)) % 0.37/0.58 (step @p147 :rule not_implies_elim1 :premises (@p146)) % 0.37/0.58 (step @p148 :rule eq-symm :args (@t76 @t44)) % 0.37/0.58 (step @p149 :rule cong :premises (@p148) :args (@t77)) % 0.37/0.58 (step @p150 :rule refl :args (@t79)) % 0.37/0.58 (step @p151 :rule refl :args (@t81)) % 0.37/0.58 (step @p152 :rule nary_cong :premises (@p151 @p150 @p149) :args (@t82)) % 0.37/0.58 (step @p153 :rule cong :premises (@p152) :args (@t83)) % 0.37/0.58 (step @p154 :rule cong :premises (@p153) :args (@t84)) % 0.37/0.58 (step @p155 :rule refl :args (@t86)) % 0.37/0.58 (step @p156 :rule nary_cong :premises (@p155 @p154) :args (@t87)) % 0.37/0.58 (step @p157 :rule refl :args (@t88)) % 0.37/0.58 (step @p158 :rule cong :premises (@p157 @p156) :args ((=> @t88 @t87))) % 0.37/0.58 (assume-push @p225 @t88) % 0.37/0.58 (step @p160 :rule instantiate :premises (@p147) :args ((@list @t80 @t78 @t76))) % 0.37/0.58 (step-pop @p226 :rule scope :premises (@p160)) % 0.37/0.58 (step @p161 :rule process_scope :premises (@p226) :args (@t87)) % 0.37/0.58 (step @p163 :rule eq_resolve :premises (@p161 @p158)) % 0.37/0.58 (step @p164 :rule implies_elim :premises (@p163)) % 0.37/0.58 (step @p165 :rule chain_m_resolution :premises (@p164 @p147) :args (@t91 (@list false) (@list @t88))) % 0.37/0.58 (step @p166 :rule not_implies_elim2 :premises (@p146)) % 0.37/0.58 (step @p167 :rule not_implies_elim2 :premises (@p166)) % 0.37/0.58 (step @p168 :rule skolemize :premises (@p167)) % 0.37/0.58 (step @p169 :rule bool-double-not-elim :args (@t85)) % 0.37/0.58 (step @p170 :rule refl :args (@t94)) % 0.37/0.58 (step @p171 :rule nary_cong :premises (@p170 @p169) :args ((or @t94 (not @t86)))) % 0.37/0.58 (step @p172 :rule cnf_or_neg :args (@t94 0)) % 0.37/0.58 (step @p173 :rule eq_resolve :premises (@p172 @p171)) % 0.37/0.58 (step @p174 :rule reordering :premises (@p173) :args ((or @t85 @t94))) % 0.37/0.58 (step @p175 :rule chain_m_resolution :premises (@p174 @p168) :args (@t85 @t95 @t96)) % 0.37/0.58 (step @p176 :rule cnf_or_pos :args (@t91)) % 0.37/0.58 (step @p177 :rule reordering :premises (@p176) :args ((or @t86 @t90 (not @t91)))) % 0.37/0.58 (step @p178 :rule chain_m_resolution :premises (@p177 @p175 @p165) :args (@t90 (@list false false) (@list @t85 @t91))) % 0.37/0.58 (step @p179 :rule refl :args (@t106)) % 0.37/0.58 (step @p180 :rule bool-double-not-elim :args (@t89)) % 0.37/0.58 (step @p181 :rule nary_cong :premises (@p180 @p179) :args ((or (not @t90) @t106))) % 0.37/0.58 (step @p182 :rule eq-symm :args (@t99 @t76)) % 0.37/0.58 (step @p183 :rule cong :premises (@p182) :args (@t107)) % 0.37/0.58 (step @p184 :rule refl :args (@t103)) % 0.37/0.58 (step @p185 :rule refl :args (@t104)) % 0.37/0.58 (step @p186 :rule nary_cong :premises (@p185 @p184 @p183) :args (@t108)) % 0.37/0.58 (step @p187 :rule cong :premises (@p186) :args (@t109)) % 0.37/0.58 (step @p188 :rule refl :args (@t90)) % 0.37/0.58 (step @p189 :rule cong :premises (@p188 @p187) :args ((=> @t90 @t109))) % 0.37/0.58 (assume-push @p227 @t90) % 0.37/0.58 (step @p191 :rule skolemize :premises (@p178)) % 0.37/0.58 (step-pop @p228 :rule scope :premises (@p191)) % 0.37/0.58 (step @p192 :rule process_scope :premises (@p228) :args (@t109)) % 0.37/0.58 (step @p194 :rule eq_resolve :premises (@p192 @p189)) % 0.37/0.58 (step @p195 :rule implies_elim :premises (@p194)) % 0.37/0.58 (step @p196 :rule eq_resolve :premises (@p195 @p181)) % 0.37/0.58 (step @p197 :rule chain_m_resolution :premises (@p196 @p178) :args (@t106 @t95 (@list @t89))) % 0.37/0.58 (step @p198 :rule bool-double-not-elim :args (@t102)) % 0.37/0.58 (step @p199 :rule refl :args (@t105)) % 0.37/0.58 (step @p200 :rule nary_cong :premises (@p199 @p198) :args ((or @t105 (not @t103)))) % 0.37/0.58 (step @p201 :rule cnf_or_neg :args (@t105 1)) % 0.37/0.58 (step @p202 :rule eq_resolve :premises (@p201 @p200)) % 0.37/0.58 (step @p203 :rule reordering :premises (@p202) :args ((or @t102 @t105))) % 0.37/0.58 (step @p204 :rule chain_m_resolution :premises (@p203 @p197) :args (@t102 @t95 @t110)) % 0.37/0.58 (step @p205 :rule true_intro :premises (@p204)) % 0.37/0.58 (step @p206 :rule refl :args (@t78)) % 0.37/0.58 (step @p207 :rule not_implies_elim1 :premises (@p166)) % 0.37/0.58 (step @p208 :rule instantiate :premises (@p207) :args ((@list @t98 @t97))) % 0.37/0.58 (step @p209 :rule symm :premises (@p208)) % 0.37/0.58 (step @p210 :rule bool-double-not-elim :args (@t100)) % 0.37/0.58 (step @p211 :rule nary_cong :premises (@p199 @p210) :args ((or @t105 (not @t101)))) % 0.37/0.58 (step @p212 :rule cnf_or_neg :args (@t105 2)) % 0.37/0.58 (step @p213 :rule eq_resolve :premises (@p212 @p211)) % 0.37/0.58 (step @p214 :rule reordering :premises (@p213) :args ((or @t100 @t105))) % 0.37/0.58 (step @p215 :rule chain_m_resolution :premises (@p214 @p197) :args (@t100 @t95 @t110)) % 0.37/0.58 (step @p216 :rule cong :premises (@p215) :args (@t92)) % 0.37/0.58 (step @p217 :rule trans :premises (@p216 @p209)) % 0.37/0.58 (step @p218 :rule cong :premises (@p217 @p206) :args (@t93)) % 0.37/0.58 (step @p219 :rule cnf_or_neg :args (@t94 1)) % 0.37/0.58 (step @p220 :rule chain_m_resolution :premises (@p219 @p168) :args ((not @t93) @t95 @t96)) % 0.37/0.58 (step @p221 :rule false_intro :premises (@p220)) % 0.37/0.58 (step @p222 :rule symm :premises (@p221)) % 0.37/0.58 (step @p223 :rule trans :premises (@p222 @p218 @p205)) % 0.37/0.58 (step @p224 false :rule eq_resolve :premises (@p223 @p5)) % 0.37/0.58 ) % 0.37/0.58 % SZS output end Proof % 0.37/0.58 % cvc5 exiting %------------------------------------------------------------------------------