%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU534^2 : 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 : n001.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 08:52:06 AM UTC 2026 % Result : Theorem 0.53s 0.71s % Output : Proof 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SEU534^2 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n001.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 17:41:35 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.51 %----Proving TH0 % 0.53/0.71 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.53/0.71 % SZS status Theorem % 0.53/0.71 % SZS output start Proof % 0.53/0.71 ( % 0.53/0.71 (declare-sort $$unsorted 0) % 0.53/0.71 (declare-const tptp.emptysetE Bool) % 0.53/0.71 (declare-const tptp.emptyset $$unsorted) % 0.53/0.71 (declare-const tptp.dsetconstrI Bool) % 0.53/0.71 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.53/0.71 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.53/0.71 (define @t1 () (@var "Xy" $$unsorted)) % 0.53/0.71 (define @t2 () (@var "Xphi" (-> $$unsorted Bool))) % 0.53/0.71 (define @t3 () (_ @t2 @t1)) % 0.53/0.71 (define @t4 () (@list @t1)) % 0.53/0.71 (define @t5 () (lambda @t4 @t3)) % 0.53/0.71 (define @t6 () (@var "A" $$unsorted)) % 0.53/0.71 (define @t7 () (_ tptp.dsetconstr @t6)) % 0.53/0.71 (define @t8 () (_ @t7 @t5)) % 0.53/0.71 (define @t9 () (@var "Xx" $$unsorted)) % 0.53/0.71 (define @t10 () (_ tptp.in @t9)) % 0.53/0.71 (define @t11 () (_ @t10 @t8)) % 0.53/0.71 (define @t12 () (_ @t2 @t9)) % 0.53/0.71 (define @t13 () (=> @t12 @t11)) % 0.53/0.71 (define @t14 () (_ @t10 @t6)) % 0.53/0.71 (define @t15 () (@list @t6 @t2 @t9)) % 0.53/0.71 (define @t16 () (forall @t15 (=> @t14 @t13))) % 0.53/0.71 (define @t17 () (= tptp.dsetconstrI @t16)) % 0.53/0.71 (define @t18 () (@var "Xphi" Bool)) % 0.53/0.71 (define @t19 () (@list @t18)) % 0.53/0.71 (define @t20 () (forall @t19 @t18)) % 0.53/0.71 (define @t21 () (_ @t10 tptp.emptyset)) % 0.53/0.71 (define @t22 () (=> @t21 @t20)) % 0.53/0.71 (define @t23 () (@list @t9)) % 0.53/0.71 (define @t24 () (forall @t23 @t22)) % 0.53/0.71 (define @t25 () (= tptp.emptysetE @t24)) % 0.53/0.71 (define @t26 () (lambda @t23 @t12)) % 0.53/0.71 (define @t27 () (_ @t7 @t26)) % 0.53/0.71 (define @t28 () (= @t27 tptp.emptyset)) % 0.53/0.71 (define @t29 () (and @t14 @t12)) % 0.53/0.71 (define @t30 () (exists @t23 @t29)) % 0.53/0.71 (define @t31 () (=> @t30 (=> @t28 false))) % 0.53/0.71 (define @t32 () (@list @t6 @t2)) % 0.53/0.71 (define @t33 () (forall @t32 @t31)) % 0.53/0.71 (define @t34 () (=> tptp.emptysetE @t33)) % 0.53/0.71 (define @t35 () (=> tptp.dsetconstrI @t34)) % 0.53/0.71 (define @t36 () (not @t35)) % 0.53/0.71 (define @t37 () (@var "BOUND_VARIABLE_7511" $$unsorted)) % 0.53/0.71 (define @t38 () (not (_ @t2 @t37))) % 0.53/0.71 (define @t39 () (not (tptp.in @t37 @t6))) % 0.53/0.71 (define @t40 () (tptp.dsetconstr @t6 @t2)) % 0.53/0.71 (define @t41 () (not (= tptp.emptyset @t40))) % 0.53/0.71 (define @t42 () (or @t41 @t39 @t38)) % 0.53/0.71 (define @t43 () (@list @t6 @t2 @t37)) % 0.53/0.71 (define @t44 () (forall @t43 @t42)) % 0.53/0.71 (define @t45 () (tptp.in @t9 tptp.emptyset)) % 0.53/0.71 (define @t46 () (not @t21)) % 0.53/0.71 (define @t47 () (or @t18 @t18)) % 0.53/0.71 (define @t48 () (=> tptp.emptysetE @t44)) % 0.53/0.71 (define @t49 () (_ @t2 @t1)) % 0.53/0.71 (define @t50 () (lambda @t4 @t49)) % 0.53/0.71 (define @t51 () (tptp.dsetconstr @t6 @t50)) % 0.53/0.71 (define @t52 () (tptp.in @t9 @t51)) % 0.53/0.71 (define @t53 () (_ @t2 @t9)) % 0.53/0.71 (define @t54 () (not @t53)) % 0.53/0.71 (define @t55 () (tptp.in @t9 @t6)) % 0.53/0.71 (define @t56 () (not @t55)) % 0.53/0.71 (define @t57 () (or @t56 @t54 @t52)) % 0.53/0.71 (define @t58 () (not @t12)) % 0.53/0.71 (define @t59 () (not @t14)) % 0.53/0.71 (define @t60 () (or @t59 @t58 @t11)) % 0.53/0.71 (define @t61 () (=> tptp.dsetconstrI @t48)) % 0.53/0.71 (define @t62 () (or @t39 @t38)) % 0.53/0.71 (define @t63 () (or @t62 @t41)) % 0.53/0.71 (define @t64 () (forall @t43 @t63)) % 0.53/0.71 (define @t65 () (@list @t37)) % 0.53/0.71 (define @t66 () (forall @t65 @t63)) % 0.53/0.71 (define @t67 () (forall @t65 @t62)) % 0.53/0.71 (define @t68 () (or @t67 @t41)) % 0.53/0.71 (define @t69 () (forall @t23 (or @t56 @t54))) % 0.53/0.71 (define @t70 () (lambda @t23 @t53)) % 0.53/0.71 (define @t71 () (tptp.dsetconstr @t6 @t70)) % 0.53/0.71 (define @t72 () (= tptp.emptyset @t71)) % 0.53/0.71 (define @t73 () (not @t72)) % 0.53/0.71 (define @t74 () (or @t69 @t73)) % 0.53/0.71 (define @t75 () (= tptp.emptyset @t27)) % 0.53/0.71 (define @t76 () (not @t75)) % 0.53/0.71 (define @t77 () (or @t69 @t76)) % 0.53/0.71 (define @t78 () (not @t69)) % 0.53/0.71 (define @t79 () (or @t59 @t58)) % 0.53/0.71 (define @t80 () (forall @t23 (not @t29))) % 0.53/0.71 (define @t81 () (not @t80)) % 0.53/0.71 (define @t82 () (@quantifiers_skolemize @t44 1)) % 0.53/0.71 (define @t83 () (@var "BOUND_VARIABLE_14978" $$unsorted)) % 0.53/0.71 (define @t84 () (lambda (@list @t83) (_ @t82 @t83))) % 0.53/0.71 (define @t85 () (@quantifiers_skolemize @t44 0)) % 0.53/0.71 (define @t86 () (tptp.dsetconstr @t85 @t84)) % 0.53/0.71 (define @t87 () (@quantifiers_skolemize @t44 2)) % 0.53/0.71 (define @t88 () (tptp.in @t87 @t86)) % 0.53/0.71 (define @t89 () (_ @t82 @t87)) % 0.53/0.71 (define @t90 () (_ @t84 @t87)) % 0.53/0.71 (define @t91 () (not @t90)) % 0.53/0.71 (define @t92 () (tptp.in @t87 @t85)) % 0.53/0.71 (define @t93 () (not @t92)) % 0.53/0.71 (define @t94 () (or @t93 @t91 @t88)) % 0.53/0.71 (define @t95 () (forall @t15 (or @t56 @t54 (tptp.in @t9 @t40)))) % 0.53/0.71 (define @t96 () (tptp.dsetconstr @t85 @t82)) % 0.53/0.71 (define @t97 () (tptp.in @t87 @t96)) % 0.53/0.71 (define @t98 () (not @t89)) % 0.53/0.71 (define @t99 () (or @t93 @t98 @t97)) % 0.53/0.71 (define @t100 () (= tptp.emptyset @t96)) % 0.53/0.71 (define @t101 () (not @t100)) % 0.53/0.71 (define @t102 () (or @t101 @t93 @t98)) % 0.53/0.71 (define @t103 () (@list true)) % 0.53/0.71 (define @t104 () (@list @t102)) % 0.53/0.71 (define @t105 () (tptp.in @t87 tptp.emptyset)) % 0.53/0.71 (define @t106 () (forall @t23 (not @t45))) % 0.53/0.71 (assume @p1 @t17) % 0.53/0.71 (assume @p2 @t25) % 0.53/0.71 (assume @p3 @t36) % 0.53/0.71 (assume @p4 true) % 0.53/0.71 (step @p5 :rule refl :args (@t44)) % 0.53/0.71 (step @p6 :rule refl :args (@t45)) % 0.53/0.71 (step @p7 :rule refl :args (@t21)) % 0.53/0.71 (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t21 @t45))) % 0.53/0.71 (step @p9 :rule symm :premises (@p8)) % 0.53/0.71 (step @p10 :rule eq_resolve :premises (@p7 @p9)) % 0.53/0.71 (step @p11 :rule cong :premises (@p10) :args (@t46)) % 0.53/0.71 (step @p12 :rule cong :premises (@p11) :args ((forall @t23 @t46))) % 0.53/0.71 (step @p13 :rule bool-impl-false1 :args (@t21)) % 0.53/0.71 (step @p14 :rule quant-var-elim-eq :args ((= (forall @t19 (or (not (= @t18 false)) @t18)) false))) % 0.53/0.71 (step @p15 :rule refl :args (@t18)) % 0.53/0.71 (step @p16 :rule bool-eq-false :args (@t18)) % 0.53/0.71 (step @p17 :rule symm :premises (@p16)) % 0.53/0.71 (step @p18 :rule cong :premises (@p17) :args ((not (not @t18)))) % 0.53/0.71 (step @p19 :rule bool-double-not-elim :args (@t18)) % 0.53/0.71 (step @p20 :rule symm :premises (@p19)) % 0.53/0.71 (step @p21 :rule trans :premises (@p20 @p18)) % 0.53/0.71 (step @p22 :rule nary_cong :premises (@p21 @p15) :args (@t47)) % 0.53/0.71 (step @p23 :rule aci_norm :args ((= @t18 @t47))) % 0.53/0.71 (step @p24 :rule trans :premises (@p23 @p22)) % 0.53/0.71 (step @p25 :rule cong :premises (@p24) :args (@t20)) % 0.53/0.71 (step @p26 :rule trans :premises (@p25 @p14)) % 0.53/0.71 (step @p27 :rule refl :args (@t21)) % 0.53/0.71 (step @p28 :rule cong :premises (@p27 @p26) :args (@t22)) % 0.53/0.71 (step @p29 :rule trans :premises (@p28 @p13)) % 0.53/0.71 (step @p30 :rule cong :premises (@p29) :args (@t24)) % 0.53/0.71 (step @p31 :rule trans :premises (@p30 @p12)) % 0.53/0.71 (step @p32 :rule refl :args (tptp.emptysetE)) % 0.53/0.71 (step @p33 :rule cong :premises (@p32 @p31) :args (@t25)) % 0.53/0.71 (step @p34 :rule eq_resolve :premises (@p2 @p33)) % 0.53/0.71 (step @p35 :rule cong :premises (@p34 @p5) :args (@t48)) % 0.53/0.71 (step @p36 :rule lambda-elim :args ((= @t50 @t2))) % 0.53/0.71 (step @p37 :rule refl :args (@t6)) % 0.53/0.71 (step @p38 :rule cong :premises (@p37 @p36) :args (@t51)) % 0.53/0.71 (step @p39 :rule refl :args (@t9)) % 0.53/0.71 (step @p40 :rule cong :premises (@p39 @p38) :args (@t52)) % 0.53/0.71 (step @p41 :rule refl :args (@t54)) % 0.53/0.71 (step @p42 :rule refl :args (@t56)) % 0.53/0.71 (step @p43 :rule nary_cong :premises (@p42 @p41 @p40) :args (@t57)) % 0.53/0.71 (step @p44 :rule cong :premises (@p43) :args ((forall @t15 @t57))) % 0.53/0.71 (step @p45 :rule refl :args ((tptp.in @t9 @t8))) % 0.53/0.71 (step @p46 :rule refl :args ((tptp.dsetconstr @t6 @t5))) % 0.53/0.71 (step @p47 :rule refl :args (@t49)) % 0.53/0.71 (step @p48 :rule cong :premises (@p47) :args (@t50)) % 0.53/0.71 (step @p49 :rule refl :args (@t6)) % 0.53/0.71 (step @p50 :rule cong :premises (@p49 @p48) :args (@t51)) % 0.53/0.71 (step @p51 :rule trans :premises (@p50 @p46)) % 0.53/0.71 (step @p52 :rule refl :args (@t9)) % 0.53/0.71 (step @p53 :rule cong :premises (@p52 @p51) :args (@t52)) % 0.53/0.71 (step @p54 :rule trans :premises (@p53 @p45)) % 0.53/0.71 (step @p55 :rule refl :args (@t10)) % 0.53/0.71 (step @p56 :rule ho_cong :premises (@p55 @p51)) % 0.53/0.71 (step @p57 :rule cong :premises (@p56 @p54) :args ((= (_ @t10 @t51) @t52))) % 0.53/0.71 (step @p58 :rule symm :premises (@p57)) % 0.53/0.71 (step @p59 :rule refl :args (@t11)) % 0.53/0.71 (step @p60 :rule eq_resolve :premises (@p59 @p58)) % 0.53/0.71 (step @p61 :rule refl :args (@t7)) % 0.53/0.71 (step @p62 :rule ho_cong :premises (@p61 @p48)) % 0.53/0.71 (step @p63 :rule cong :premises (@p62 @p51) :args ((= (_ @t7 @t50) @t51))) % 0.53/0.71 (step @p64 :rule symm :premises (@p63)) % 0.53/0.71 (step @p65 :rule refl :args (@t8)) % 0.53/0.71 (step @p66 :rule eq_resolve :premises (@p65 @p64)) % 0.53/0.71 (step @p67 :rule refl :args (@t3)) % 0.53/0.71 (step @p68 :rule cong :premises (@p67 @p47) :args ((= @t3 @t49))) % 0.53/0.71 (step @p69 :rule symm :premises (@p68)) % 0.53/0.71 (step @p70 :rule eq_resolve :premises (@p67 @p69)) % 0.53/0.71 (step @p71 :rule cong :premises (@p70) :args (@t5)) % 0.53/0.71 (step @p72 :rule ho_cong :premises (@p61 @p71)) % 0.53/0.71 (step @p73 :rule trans :premises (@p72 @p66)) % 0.53/0.71 (step @p74 :rule ho_cong :premises (@p55 @p73)) % 0.53/0.71 (step @p75 :rule trans :premises (@p74 @p60)) % 0.53/0.71 (step @p76 :rule refl :args (@t53)) % 0.53/0.71 (step @p77 :rule refl :args (@t12)) % 0.53/0.71 (step @p78 :rule cong :premises (@p77 @p76) :args ((= @t12 @t53))) % 0.53/0.71 (step @p79 :rule symm :premises (@p78)) % 0.53/0.71 (step @p80 :rule eq_resolve :premises (@p77 @p79)) % 0.53/0.71 (step @p81 :rule cong :premises (@p80) :args (@t58)) % 0.53/0.71 (step @p82 :rule refl :args (@t55)) % 0.53/0.71 (step @p83 :rule refl :args (@t14)) % 0.53/0.71 (step @p84 :rule cong :premises (@p83 @p82) :args ((= @t14 @t55))) % 0.53/0.71 (step @p85 :rule symm :premises (@p84)) % 0.53/0.71 (step @p86 :rule eq_resolve :premises (@p83 @p85)) % 0.53/0.71 (step @p87 :rule cong :premises (@p86) :args (@t59)) % 0.53/0.71 (step @p88 :rule nary_cong :premises (@p87 @p81 @p75) :args (@t60)) % 0.53/0.71 (step @p89 :rule cong :premises (@p88) :args ((forall @t15 @t60))) % 0.53/0.71 (step @p90 :rule trans :premises (@p89 @p44)) % 0.53/0.71 (step @p91 :rule aci_norm :args ((= (or @t59 (or @t58 @t11)) @t60))) % 0.53/0.71 (step @p92 :rule bool-impl-elim :args (@t12 @t11)) % 0.53/0.71 (step @p93 :rule refl :args (@t59)) % 0.53/0.71 (step @p94 :rule nary_cong :premises (@p93 @p92) :args ((or @t59 @t13))) % 0.53/0.71 (step @p95 :rule trans :premises (@p94 @p91)) % 0.53/0.71 (step @p96 :rule bool-impl-elim :args (@t14 @t13)) % 0.53/0.71 (step @p97 :rule trans :premises (@p96 @p95)) % 0.53/0.71 (step @p98 :rule cong :premises (@p97) :args (@t16)) % 0.53/0.71 (step @p99 :rule trans :premises (@p98 @p90)) % 0.53/0.71 (step @p100 :rule refl :args (tptp.dsetconstrI)) % 0.53/0.71 (step @p101 :rule cong :premises (@p100 @p99) :args (@t17)) % 0.53/0.71 (step @p102 :rule eq_resolve :premises (@p1 @p101)) % 0.53/0.71 (step @p103 :rule cong :premises (@p102 @p35) :args (@t61)) % 0.53/0.71 (step @p104 :rule cong :premises (@p103) :args ((not @t61))) % 0.53/0.71 (step @p105 :rule aci_norm :args ((= @t63 @t42))) % 0.53/0.71 (step @p106 :rule cong :premises (@p105) :args (@t64)) % 0.53/0.71 (step @p107 :rule quant-merge-prenex :args ((= (forall @t32 @t66) @t64))) % 0.53/0.71 (step @p108 :rule refl :args (@t41)) % 0.53/0.71 (step @p109 :rule alpha_equiv :args (@t67 (@list @t37) (@list @t9))) % 0.53/0.71 (step @p110 :rule nary_cong :premises (@p109 @p108) :args (@t68)) % 0.53/0.71 (step @p111 :rule quant-miniscope-or :args ((= @t66 @t68))) % 0.53/0.71 (step @p112 :rule trans :premises (@p111 @p110)) % 0.53/0.71 (step @p113 :rule symm :premises (@p112)) % 0.53/0.71 (step @p114 :rule cong :premises (@p113) :args ((forall @t32 (or @t69 @t41)))) % 0.53/0.71 (step @p115 :rule trans :premises (@p114 @p107)) % 0.53/0.71 (step @p116 :rule trans :premises (@p115 @p106)) % 0.53/0.71 (step @p117 :rule lambda-elim :args ((= @t70 @t2))) % 0.53/0.71 (step @p118 :rule cong :premises (@p37 @p117) :args (@t71)) % 0.53/0.71 (step @p119 :rule refl :args (tptp.emptyset)) % 0.53/0.71 (step @p120 :rule cong :premises (@p119 @p118) :args (@t72)) % 0.53/0.71 (step @p121 :rule cong :premises (@p120) :args (@t73)) % 0.53/0.71 (step @p122 :rule refl :args (@t69)) % 0.53/0.71 (step @p123 :rule nary_cong :premises (@p122 @p121) :args (@t74)) % 0.53/0.71 (step @p124 :rule cong :premises (@p123) :args ((forall @t32 @t74))) % 0.53/0.71 (step @p125 :rule trans :premises (@p124 @p116)) % 0.53/0.71 (step @p126 :rule refl :args ((tptp.dsetconstr @t6 @t26))) % 0.53/0.71 (step @p127 :rule cong :premises (@p76) :args (@t70)) % 0.53/0.71 (step @p128 :rule cong :premises (@p49 @p127) :args (@t71)) % 0.53/0.71 (step @p129 :rule trans :premises (@p128 @p126)) % 0.53/0.71 (step @p130 :rule ho_cong :premises (@p61 @p127)) % 0.53/0.71 (step @p131 :rule cong :premises (@p130 @p129) :args ((= (_ @t7 @t70) @t71))) % 0.53/0.71 (step @p132 :rule symm :premises (@p131)) % 0.53/0.71 (step @p133 :rule refl :args (@t27)) % 0.53/0.71 (step @p134 :rule eq_resolve :premises (@p133 @p132)) % 0.53/0.71 (step @p135 :rule cong :premises (@p80) :args (@t26)) % 0.53/0.71 (step @p136 :rule ho_cong :premises (@p61 @p135)) % 0.53/0.71 (step @p137 :rule trans :premises (@p136 @p134)) % 0.53/0.71 (step @p138 :rule refl :args (tptp.emptyset)) % 0.53/0.71 (step @p139 :rule cong :premises (@p138 @p137) :args (@t75)) % 0.53/0.71 (step @p140 :rule cong :premises (@p139) :args (@t76)) % 0.53/0.71 (step @p141 :rule refl :args (@t69)) % 0.53/0.71 (step @p142 :rule nary_cong :premises (@p141 @p140) :args (@t77)) % 0.53/0.71 (step @p143 :rule cong :premises (@p142) :args ((forall @t32 @t77))) % 0.53/0.71 (step @p144 :rule trans :premises (@p143 @p125)) % 0.53/0.71 (step @p145 :rule refl :args (@t76)) % 0.53/0.71 (step @p146 :rule bool-double-not-elim :args (@t69)) % 0.53/0.71 (step @p147 :rule nary_cong :premises (@p146 @p145) :args ((or (not @t78) @t76))) % 0.53/0.71 (step @p148 :rule bool-impl-elim :args (@t78 @t76)) % 0.53/0.71 (step @p149 :rule trans :premises (@p148 @p147)) % 0.53/0.71 (step @p150 :rule cong :premises (@p149) :args ((forall @t32 (=> @t78 @t76)))) % 0.53/0.71 (step @p151 :rule trans :premises (@p150 @p144)) % 0.53/0.71 (step @p152 :rule eq-symm :args (@t27 tptp.emptyset)) % 0.53/0.71 (step @p153 :rule cong :premises (@p152) :args ((not @t28))) % 0.53/0.71 (step @p154 :rule bool-impl-false1 :args (@t28)) % 0.53/0.71 (step @p155 :rule trans :premises (@p154 @p153)) % 0.53/0.71 (step @p156 :rule nary_cong :premises (@p87 @p81) :args (@t79)) % 0.53/0.71 (step @p157 :rule cong :premises (@p156) :args ((forall @t23 @t79))) % 0.53/0.71 (step @p158 :rule bool-and-de-morgan :args (@t14 @t12 true)) % 0.53/0.71 (step @p159 :rule cong :premises (@p158) :args (@t80)) % 0.53/0.71 (step @p160 :rule trans :premises (@p159 @p157)) % 0.53/0.71 (step @p161 :rule cong :premises (@p160) :args (@t81)) % 0.53/0.71 (step @p162 :rule exists-elim :args ((= @t30 @t81))) % 0.53/0.71 (step @p163 :rule trans :premises (@p162 @p161)) % 0.53/0.71 (step @p164 :rule cong :premises (@p163 @p155) :args (@t31)) % 0.53/0.71 (step @p165 :rule cong :premises (@p164) :args (@t33)) % 0.53/0.71 (step @p166 :rule trans :premises (@p165 @p151)) % 0.53/0.71 (step @p167 :rule cong :premises (@p32 @p166) :args (@t34)) % 0.53/0.71 (step @p168 :rule cong :premises (@p100 @p167) :args (@t35)) % 0.53/0.71 (step @p169 :rule cong :premises (@p168) :args (@t36)) % 0.53/0.71 (step @p170 :rule trans :premises (@p169 @p104)) % 0.53/0.71 (step @p171 :rule eq_resolve :premises (@p3 @p170)) % 0.53/0.71 (step @p172 :rule not_implies_elim2 :premises (@p171)) % 0.53/0.71 (step @p173 :rule not_implies_elim1 :premises (@p172)) % 0.53/0.71 (step @p174 :rule not_implies_elim1 :premises (@p171)) % 0.53/0.71 (step @p175 :rule lambda-elim :args ((= @t84 @t82))) % 0.53/0.71 (step @p176 :rule refl :args (@t85)) % 0.53/0.71 (step @p177 :rule cong :premises (@p176 @p175) :args (@t86)) % 0.53/0.71 (step @p178 :rule refl :args (@t87)) % 0.53/0.71 (step @p179 :rule cong :premises (@p178 @p177) :args (@t88)) % 0.53/0.71 (step @p180 :rule beta-reduce :args ((= @t90 @t89))) % 0.53/0.71 (step @p181 :rule cong :premises (@p180) :args (@t91)) % 0.53/0.71 (step @p182 :rule refl :args (@t93)) % 0.53/0.71 (step @p183 :rule nary_cong :premises (@p182 @p181 @p179) :args (@t94)) % 0.53/0.71 (step @p184 :rule refl :args (@t95)) % 0.53/0.71 (step @p185 :rule cong :premises (@p184 @p183) :args ((=> @t95 @t94))) % 0.53/0.71 (assume-push @p227 @t95) % 0.53/0.71 (step @p187 :rule instantiate :premises (@p174) :args ((@list @t85 @t84 @t87))) % 0.53/0.71 (step-pop @p228 :rule scope :premises (@p187)) % 0.53/0.71 (step @p188 :rule process_scope :premises (@p228) :args (@t94)) % 0.53/0.71 (step @p190 :rule eq_resolve :premises (@p188 @p185)) % 0.53/0.71 (step @p191 :rule implies_elim :premises (@p190)) % 0.53/0.71 (step @p192 :rule chain_m_resolution :premises (@p191 @p174) :args (@t99 (@list false) (@list @t95))) % 0.53/0.71 (step @p193 :rule not_implies_elim2 :premises (@p172)) % 0.53/0.71 (step @p194 :rule skolemize :premises (@p193)) % 0.53/0.71 (step @p195 :rule bool-double-not-elim :args (@t89)) % 0.53/0.71 (step @p196 :rule refl :args (@t102)) % 0.53/0.71 (step @p197 :rule nary_cong :premises (@p196 @p195) :args ((or @t102 (not @t98)))) % 0.53/0.71 (step @p198 :rule cnf_or_neg :args (@t102 2)) % 0.53/0.71 (step @p199 :rule eq_resolve :premises (@p198 @p197)) % 0.53/0.71 (step @p200 :rule reordering :premises (@p199) :args ((or @t89 @t102))) % 0.53/0.71 (step @p201 :rule chain_m_resolution :premises (@p200 @p194) :args (@t89 @t103 @t104)) % 0.53/0.71 (step @p202 :rule bool-double-not-elim :args (@t92)) % 0.53/0.71 (step @p203 :rule nary_cong :premises (@p196 @p202) :args ((or @t102 (not @t93)))) % 0.53/0.71 (step @p204 :rule cnf_or_neg :args (@t102 1)) % 0.53/0.71 (step @p205 :rule eq_resolve :premises (@p204 @p203)) % 0.53/0.71 (step @p206 :rule reordering :premises (@p205) :args ((or @t92 @t102))) % 0.53/0.71 (step @p207 :rule chain_m_resolution :premises (@p206 @p194) :args (@t92 @t103 @t104)) % 0.53/0.71 (step @p208 :rule cnf_or_pos :args (@t99)) % 0.53/0.71 (step @p209 :rule reordering :premises (@p208) :args ((or @t93 @t98 @t97 (not @t99)))) % 0.53/0.71 (step @p210 :rule chain_m_resolution :premises (@p209 @p207 @p201 @p192) :args (@t97 (@list false false false) (@list @t92 @t89 @t99))) % 0.53/0.71 (step @p211 :rule true_intro :premises (@p210)) % 0.53/0.71 (step @p212 :rule bool-double-not-elim :args (@t100)) % 0.53/0.71 (step @p213 :rule nary_cong :premises (@p196 @p212) :args ((or @t102 (not @t101)))) % 0.53/0.71 (step @p214 :rule cnf_or_neg :args (@t102 0)) % 0.53/0.71 (step @p215 :rule eq_resolve :premises (@p214 @p213)) % 0.53/0.71 (step @p216 :rule reordering :premises (@p215) :args ((or @t100 @t102))) % 0.53/0.71 (step @p217 :rule chain_m_resolution :premises (@p216 @p194) :args (@t100 @t103 @t104)) % 0.53/0.71 (step @p218 :rule cong :premises (@p178 @p217) :args (@t105)) % 0.53/0.71 (step @p219 :rule trans :premises (@p218 @p211)) % 0.53/0.71 (step @p220 :rule true_elim :premises (@p219)) % 0.53/0.71 (assume-push @p229 @t106) % 0.53/0.71 (step @p222 :rule instantiate :premises (@p173) :args ((@list @t87))) % 0.53/0.71 (step-pop @p230 :rule scope :premises (@p222)) % 0.53/0.71 (step @p223 :rule process_scope :premises (@p230) :args ((not @t105))) % 0.53/0.71 (step @p225 :rule implies_elim :premises (@p223)) % 0.53/0.71 (step @p226 false :rule chain_m_resolution :premises (@p225 @p220 @p173) :args (false (@list false false) (@list @t105 @t106))) % 0.53/0.71 ) % 0.53/0.71 % SZS output end Proof % 0.53/0.71 % cvc5 exiting %------------------------------------------------------------------------------