%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU545^2 : 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 : n002.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 08:52:08 AM UTC 2026 % Result : Theorem 0.39s 0.59s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEU545^2 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n002.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 17:41:33 EDT 2026 % 0.18/0.35 % CPUTime : % 0.27/0.50 %----Proving TH0 % 0.39/0.59 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.39/0.59 % SZS status Theorem % 0.39/0.59 % SZS output start Proof % 0.39/0.59 ( % 0.39/0.59 (declare-sort $$unsorted 0) % 0.39/0.59 (declare-const tptp.exuI1 Bool) % 0.39/0.59 (define tptp.exu () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (@var "Xphi" (-> $$unsorted Bool)))) (lambda (@list _let_3) (exists (@list _let_2) (and (_ _let_3 _let_2) (forall (@list _let_1) (=> (_ _let_3 _let_1) (= _let_2 _let_1)))))))))) % 0.39/0.59 (define @t1 () (@var "Xx" $$unsorted)) % 0.39/0.59 (define @t2 () (@var "Xphi" (-> $$unsorted Bool))) % 0.39/0.59 (define @t3 () (_ @t2 @t1)) % 0.39/0.59 (define @t4 () (@list @t1)) % 0.39/0.59 (define @t5 () (lambda @t4 @t3)) % 0.39/0.59 (define @t6 () (_ tptp.exu @t5)) % 0.39/0.59 (define @t7 () (@var "Xy" $$unsorted)) % 0.39/0.59 (define @t8 () (= @t1 @t7)) % 0.39/0.59 (define @t9 () (_ @t2 @t7)) % 0.39/0.59 (define @t10 () (=> @t9 @t8)) % 0.39/0.59 (define @t11 () (@list @t7)) % 0.39/0.59 (define @t12 () (forall @t11 @t10)) % 0.39/0.59 (define @t13 () (and @t3 @t12)) % 0.39/0.59 (define @t14 () (exists @t4 @t13)) % 0.39/0.59 (define @t15 () (=> @t14 @t6)) % 0.39/0.59 (define @t16 () (@list @t2)) % 0.39/0.59 (define @t17 () (forall @t16 @t15)) % 0.39/0.59 (define @t18 () (= tptp.exuI1 @t17)) % 0.39/0.59 (define @t19 () (@list @t1 @t7)) % 0.39/0.59 (define @t20 () (forall @t19 (=> @t3 @t10))) % 0.39/0.59 (define @t21 () (=> @t20 @t6)) % 0.39/0.59 (define @t22 () (exists @t4 @t3)) % 0.39/0.59 (define @t23 () (=> @t22 @t21)) % 0.39/0.59 (define @t24 () (forall @t16 @t23)) % 0.39/0.59 (define @t25 () (=> tptp.exuI1 @t24)) % 0.39/0.59 (define @t26 () (not @t25)) % 0.39/0.59 (define @t27 () (lambda @t16 @t14)) % 0.39/0.59 (define @t28 () (_ @t2 @t7)) % 0.39/0.59 (define @t29 () (not @t28)) % 0.39/0.59 (define @t30 () (forall @t11 (or @t29 @t8))) % 0.39/0.59 (define @t31 () (not @t30)) % 0.39/0.59 (define @t32 () (_ @t2 @t1)) % 0.39/0.59 (define @t33 () (not @t32)) % 0.39/0.59 (define @t34 () (forall @t4 (or @t33 @t31))) % 0.39/0.59 (define @t35 () (not @t34)) % 0.39/0.59 (define @t36 () (forall @t19 (or @t33 @t29 @t8))) % 0.39/0.59 (define @t37 () (not @t36)) % 0.39/0.59 (define @t38 () (@var "BOUND_VARIABLE_7509" $$unsorted)) % 0.39/0.59 (define @t39 () (not (_ @t2 @t38))) % 0.39/0.59 (define @t40 () (or @t39 @t37 @t35)) % 0.39/0.59 (define @t41 () (forall (@list @t2 @t38) @t40)) % 0.39/0.59 (define @t42 () (not @t3)) % 0.39/0.59 (define @t43 () (or @t42 @t31)) % 0.39/0.59 (define @t44 () (not @t9)) % 0.39/0.59 (define @t45 () (or @t44 @t8)) % 0.39/0.59 (define @t46 () (_ @t5 @t7)) % 0.39/0.59 (define @t47 () (not @t46)) % 0.39/0.59 (define @t48 () (or @t47 @t8)) % 0.39/0.59 (define @t49 () (forall @t11 @t48)) % 0.39/0.59 (define @t50 () (not @t49)) % 0.39/0.59 (define @t51 () (_ @t5 @t1)) % 0.39/0.59 (define @t52 () (not @t51)) % 0.39/0.59 (define @t53 () (or @t52 @t50)) % 0.39/0.59 (define @t54 () (forall @t4 @t53)) % 0.39/0.59 (define @t55 () (not @t54)) % 0.39/0.59 (define @t56 () (_ (lambda @t16 @t35) @t5)) % 0.39/0.59 (define @t57 () (and @t3 @t30)) % 0.39/0.59 (define @t58 () (forall @t4 (not @t57))) % 0.39/0.59 (define @t59 () (not @t58)) % 0.39/0.59 (define @t60 () (=> @t14 @t56)) % 0.39/0.59 (define @t61 () (forall @t16 @t60)) % 0.39/0.59 (define @t62 () (=> tptp.exuI1 @t41)) % 0.39/0.59 (define @t63 () (@list @t38)) % 0.39/0.59 (define @t64 () (forall @t63 @t40)) % 0.39/0.59 (define @t65 () (forall @t63 @t39)) % 0.39/0.59 (define @t66 () (or @t65 @t37 @t35)) % 0.39/0.59 (define @t67 () (forall @t4 @t33)) % 0.39/0.59 (define @t68 () (or @t67 @t37 @t35)) % 0.39/0.59 (define @t69 () (=> @t36 @t35)) % 0.39/0.59 (define @t70 () (not @t67)) % 0.39/0.59 (define @t71 () (or @t42 @t44 @t8)) % 0.39/0.59 (define @t72 () (=> @t20 @t56)) % 0.39/0.59 (define @t73 () (forall @t4 @t42)) % 0.39/0.59 (define @t74 () (not @t73)) % 0.39/0.59 (define @t75 () (=> @t22 @t72)) % 0.39/0.59 (define @t76 () (forall @t16 @t75)) % 0.39/0.59 (define @t77 () (=> tptp.exuI1 @t76)) % 0.39/0.59 (define @t78 () (@quantifiers_skolemize @t41 0)) % 0.39/0.59 (define @t79 () (not (_ @t78 @t7))) % 0.39/0.59 (define @t80 () (not (_ @t78 @t1))) % 0.39/0.59 (define @t81 () (forall @t19 (or @t80 @t79 @t8))) % 0.39/0.59 (define @t82 () (forall @t4 (or @t80 (not (forall @t11 (or @t79 @t8)))))) % 0.39/0.59 (define @t83 () (not @t82)) % 0.39/0.59 (define @t84 () (not @t81)) % 0.39/0.59 (define @t85 () (@quantifiers_skolemize @t41 1)) % 0.39/0.59 (define @t86 () (_ @t78 @t85)) % 0.39/0.59 (define @t87 () (not @t86)) % 0.39/0.59 (define @t88 () (or @t87 @t84 @t83)) % 0.39/0.59 (define @t89 () (@list true)) % 0.39/0.59 (define @t90 () (@list @t88)) % 0.39/0.59 (define @t91 () (or @t79 (= @t85 @t7))) % 0.39/0.59 (define @t92 () (forall @t11 @t91)) % 0.39/0.59 (define @t93 () (not @t92)) % 0.39/0.59 (define @t94 () (or @t87 @t93)) % 0.39/0.59 (define @t95 () (forall @t11 (or @t79 (= @t7 @t85)))) % 0.39/0.59 (define @t96 () (not @t95)) % 0.39/0.59 (define @t97 () (or @t87 @t96)) % 0.39/0.59 (define @t98 () (@quantifiers_skolemize @t95 0)) % 0.39/0.59 (define @t99 () (= @t85 @t98)) % 0.39/0.59 (define @t100 () (_ @t78 @t98)) % 0.39/0.59 (define @t101 () (not @t100)) % 0.39/0.59 (define @t102 () (or @t101 @t99)) % 0.39/0.59 (define @t103 () (not @t102)) % 0.39/0.59 (define @t104 () (or @t101 (= @t98 @t85))) % 0.39/0.59 (define @t105 () (not @t104)) % 0.39/0.59 (define @t106 () (@list @t102)) % 0.39/0.59 (define @t107 () (or @t87 @t101 @t99)) % 0.39/0.59 (define @t108 () (not @t107)) % 0.39/0.59 (assume @p1 @t18) % 0.39/0.59 (assume @p2 @t26) % 0.39/0.59 (assume @p3 true) % 0.39/0.59 (step @p4 (= tptp.exu @t27) :rule refl :args (@t27)) % 0.39/0.59 (step @p5 :rule bool-impl-true2 :args (@t41)) % 0.39/0.59 (step @p6 :rule cong :premises (@p5) :args ((not (=> true @t41)))) % 0.39/0.59 (step @p7 :rule refl :args (@t41)) % 0.39/0.59 (step @p8 :rule bool-eq-true :args (tptp.exuI1)) % 0.39/0.59 (step @p9 :rule symm :premises (@p8)) % 0.39/0.59 (step @p10 :rule quant-unused-vars :args ((= (forall @t16 true) true))) % 0.39/0.59 (step @p11 :rule bool-or-taut :args (false @t34 false false)) % 0.39/0.59 (step @p12 :rule refl :args (@t35)) % 0.39/0.59 (step @p13 :rule bool-double-not-elim :args (@t34)) % 0.39/0.59 (step @p14 :rule nary_cong :premises (@p13 @p12) :args ((or (not @t35) @t35))) % 0.39/0.59 (step @p15 :rule bool-impl-elim :args (@t35 @t35)) % 0.39/0.59 (step @p16 :rule trans :premises (@p15 @p14)) % 0.39/0.59 (step @p17 :rule trans :premises (@p16 @p11)) % 0.39/0.59 (step @p18 :rule cong :premises (@p17) :args ((forall @t16 (=> @t35 @t35)))) % 0.39/0.59 (step @p19 :rule trans :premises (@p18 @p10)) % 0.39/0.59 (step @p20 :rule refl :args (@t31)) % 0.39/0.59 (step @p21 :rule refl :args (@t32)) % 0.39/0.59 (step @p22 :rule refl :args (@t3)) % 0.39/0.59 (step @p23 :rule cong :premises (@p22 @p21) :args ((= @t3 @t32))) % 0.39/0.59 (step @p24 :rule symm :premises (@p23)) % 0.39/0.59 (step @p25 :rule eq_resolve :premises (@p22 @p24)) % 0.39/0.59 (step @p26 :rule cong :premises (@p25) :args (@t42)) % 0.39/0.59 (step @p27 :rule nary_cong :premises (@p26 @p20) :args (@t43)) % 0.39/0.59 (step @p28 :rule cong :premises (@p27) :args ((forall @t4 @t43))) % 0.39/0.59 (step @p29 :rule refl :args (@t8)) % 0.39/0.59 (step @p30 :rule refl :args (@t28)) % 0.39/0.59 (step @p31 :rule refl :args (@t9)) % 0.39/0.59 (step @p32 :rule cong :premises (@p31 @p30) :args ((= @t9 @t28))) % 0.39/0.59 (step @p33 :rule symm :premises (@p32)) % 0.39/0.59 (step @p34 :rule eq_resolve :premises (@p31 @p33)) % 0.39/0.59 (step @p35 :rule cong :premises (@p34) :args (@t44)) % 0.39/0.59 (step @p36 :rule nary_cong :premises (@p35 @p29) :args (@t45)) % 0.39/0.59 (step @p37 :rule cong :premises (@p36) :args ((forall @t11 @t45))) % 0.39/0.59 (step @p38 :rule refl :args (@t8)) % 0.39/0.59 (step @p39 :rule beta-reduce :args ((= @t46 @t9))) % 0.39/0.59 (step @p40 :rule cong :premises (@p39) :args (@t47)) % 0.39/0.59 (step @p41 :rule nary_cong :premises (@p40 @p38) :args (@t48)) % 0.39/0.59 (step @p42 :rule cong :premises (@p41) :args (@t49)) % 0.39/0.59 (step @p43 :rule trans :premises (@p42 @p37)) % 0.39/0.59 (step @p44 :rule cong :premises (@p43) :args (@t50)) % 0.39/0.59 (step @p45 :rule beta-reduce :args ((= @t51 @t3))) % 0.39/0.59 (step @p46 :rule cong :premises (@p45) :args (@t52)) % 0.39/0.59 (step @p47 :rule nary_cong :premises (@p46 @p44) :args (@t53)) % 0.39/0.59 (step @p48 :rule cong :premises (@p47) :args (@t54)) % 0.39/0.59 (step @p49 :rule trans :premises (@p48 @p28)) % 0.39/0.59 (step @p50 :rule cong :premises (@p49) :args (@t55)) % 0.39/0.59 (step @p51 :rule beta-reduce :args ((= @t56 @t55))) % 0.39/0.59 (step @p52 :rule trans :premises (@p51 @p50)) % 0.39/0.59 (step @p53 :rule bool-and-de-morgan :args (@t3 @t30 true)) % 0.39/0.59 (step @p54 :rule cong :premises (@p53) :args (@t58)) % 0.39/0.59 (step @p55 :rule trans :premises (@p54 @p28)) % 0.39/0.59 (step @p56 :rule cong :premises (@p55) :args (@t59)) % 0.39/0.59 (step @p57 :rule exists-elim :args ((= (exists @t4 @t57) @t59))) % 0.39/0.59 (step @p58 :rule trans :premises (@p57 @p56)) % 0.39/0.59 (step @p59 :rule bool-impl-elim :args (@t9 @t8)) % 0.39/0.59 (step @p60 :rule cong :premises (@p59) :args (@t12)) % 0.39/0.59 (step @p61 :rule trans :premises (@p60 @p37)) % 0.39/0.59 (step @p62 :rule refl :args (@t3)) % 0.39/0.59 (step @p63 :rule nary_cong :premises (@p62 @p61) :args (@t13)) % 0.39/0.59 (step @p64 :rule cong :premises (@p63) :args (@t14)) % 0.39/0.59 (step @p65 :rule trans :premises (@p64 @p58)) % 0.39/0.59 (step @p66 :rule cong :premises (@p65 @p52) :args (@t60)) % 0.39/0.59 (step @p67 :rule cong :premises (@p66) :args (@t61)) % 0.39/0.59 (step @p68 :rule trans :premises (@p67 @p19)) % 0.39/0.59 (step @p69 :rule refl :args (tptp.exuI1)) % 0.39/0.59 (step @p70 :rule cong :premises (@p69 @p68) :args ((= tptp.exuI1 @t61))) % 0.39/0.59 (step @p71 :rule trans :premises (@p70 @p8)) % 0.39/0.59 (step @p72 :rule refl :args (@t5)) % 0.39/0.59 (step @p73 :rule cong :premises (@p65) :args (@t27)) % 0.39/0.59 (step @p74 :rule trans :premises (@p4 @p73)) % 0.39/0.59 (step @p75 :rule ho_cong :premises (@p74 @p72)) % 0.39/0.59 (step @p76 :rule refl :args (@t14)) % 0.39/0.59 (step @p77 :rule cong :premises (@p76 @p75) :args (@t15)) % 0.39/0.59 (step @p78 :rule cong :premises (@p77) :args (@t17)) % 0.39/0.59 (step @p79 :rule cong :premises (@p69 @p78) :args (@t18)) % 0.39/0.59 (step @p80 :rule trans :premises (@p79 @p71)) % 0.39/0.59 (step @p81 :rule eq_resolve :premises (@p1 @p80)) % 0.39/0.59 (step @p82 :rule eq_resolve :premises (@p81 @p9)) % 0.39/0.59 (step @p83 :rule cong :premises (@p82 @p7) :args (@t62)) % 0.39/0.59 (step @p84 :rule cong :premises (@p83) :args ((not @t62))) % 0.39/0.59 (step @p85 :rule trans :premises (@p84 @p6)) % 0.39/0.59 (step @p86 :rule quant-merge-prenex :args ((= (forall @t16 @t64) @t41))) % 0.39/0.59 (step @p87 :rule refl :args (@t37)) % 0.39/0.59 (step @p88 :rule alpha_equiv :args (@t65 (@list @t38) (@list @t1))) % 0.39/0.59 (step @p89 :rule nary_cong :premises (@p88 @p87 @p12) :args (@t66)) % 0.39/0.59 (step @p90 :rule quant-miniscope-or :args ((= @t64 @t66))) % 0.39/0.59 (step @p91 :rule trans :premises (@p90 @p89)) % 0.39/0.59 (step @p92 :rule symm :premises (@p91)) % 0.39/0.59 (step @p93 :rule cong :premises (@p92) :args ((forall @t16 @t68))) % 0.39/0.59 (step @p94 :rule trans :premises (@p93 @p86)) % 0.39/0.59 (step @p95 :rule aci_norm :args ((= (or @t67 (or @t37 @t35)) @t68))) % 0.39/0.59 (step @p96 :rule bool-impl-elim :args (@t36 @t35)) % 0.39/0.59 (step @p97 :rule refl :args (@t67)) % 0.39/0.59 (step @p98 :rule nary_cong :premises (@p97 @p96) :args ((or @t67 @t69))) % 0.39/0.59 (step @p99 :rule trans :premises (@p98 @p95)) % 0.39/0.59 (step @p100 :rule refl :args (@t69)) % 0.39/0.59 (step @p101 :rule bool-double-not-elim :args (@t67)) % 0.39/0.59 (step @p102 :rule nary_cong :premises (@p101 @p100) :args ((or (not @t70) @t69))) % 0.39/0.59 (step @p103 :rule bool-impl-elim :args (@t70 @t69)) % 0.39/0.59 (step @p104 :rule trans :premises (@p103 @p102)) % 0.39/0.59 (step @p105 :rule trans :premises (@p104 @p99)) % 0.39/0.59 (step @p106 :rule cong :premises (@p105) :args ((forall @t16 (=> @t70 @t69)))) % 0.39/0.59 (step @p107 :rule trans :premises (@p106 @p94)) % 0.39/0.59 (step @p108 :rule nary_cong :premises (@p26 @p35 @p29) :args (@t71)) % 0.39/0.59 (step @p109 :rule cong :premises (@p108) :args ((forall @t19 @t71))) % 0.39/0.59 (step @p110 :rule aci_norm :args ((= (or @t42 @t45) @t71))) % 0.39/0.59 (step @p111 :rule refl :args (@t42)) % 0.39/0.59 (step @p112 :rule nary_cong :premises (@p111 @p59) :args ((or @t42 @t10))) % 0.39/0.59 (step @p113 :rule trans :premises (@p112 @p110)) % 0.39/0.59 (step @p114 :rule bool-impl-elim :args (@t3 @t10)) % 0.39/0.59 (step @p115 :rule trans :premises (@p114 @p113)) % 0.39/0.59 (step @p116 :rule cong :premises (@p115) :args (@t20)) % 0.39/0.59 (step @p117 :rule trans :premises (@p116 @p109)) % 0.39/0.59 (step @p118 :rule cong :premises (@p117 @p52) :args (@t72)) % 0.39/0.59 (step @p119 :rule cong :premises (@p26) :args (@t73)) % 0.39/0.59 (step @p120 :rule cong :premises (@p119) :args (@t74)) % 0.39/0.59 (step @p121 :rule exists-elim :args ((= @t22 @t74))) % 0.39/0.59 (step @p122 :rule trans :premises (@p121 @p120)) % 0.39/0.59 (step @p123 :rule cong :premises (@p122 @p118) :args (@t75)) % 0.39/0.59 (step @p124 :rule cong :premises (@p123) :args (@t76)) % 0.39/0.59 (step @p125 :rule trans :premises (@p124 @p107)) % 0.39/0.59 (step @p126 :rule cong :premises (@p69 @p125) :args (@t77)) % 0.39/0.59 (step @p127 :rule cong :premises (@p126) :args ((not @t77))) % 0.39/0.59 (step @p128 :rule refl :args (@t20)) % 0.39/0.59 (step @p129 :rule cong :premises (@p128 @p75) :args (@t21)) % 0.39/0.59 (step @p130 :rule refl :args (@t22)) % 0.39/0.59 (step @p131 :rule cong :premises (@p130 @p129) :args (@t23)) % 0.39/0.59 (step @p132 :rule cong :premises (@p131) :args (@t24)) % 0.39/0.59 (step @p133 :rule cong :premises (@p69 @p132) :args (@t25)) % 0.39/0.59 (step @p134 :rule cong :premises (@p133) :args (@t26)) % 0.39/0.59 (step @p135 :rule trans :premises (@p134 @p127)) % 0.39/0.59 (step @p136 :rule trans :premises (@p135 @p85)) % 0.39/0.59 (step @p137 :rule eq_resolve :premises (@p2 @p136)) % 0.39/0.59 (step @p138 :rule skolemize :premises (@p137)) % 0.39/0.59 (step @p139 :rule bool-double-not-elim :args (@t81)) % 0.39/0.59 (step @p140 :rule refl :args (@t88)) % 0.39/0.59 (step @p141 :rule nary_cong :premises (@p140 @p139) :args ((or @t88 (not @t84)))) % 0.39/0.59 (step @p142 :rule cnf_or_neg :args (@t88 1)) % 0.39/0.59 (step @p143 :rule eq_resolve :premises (@p142 @p141)) % 0.39/0.59 (step @p144 :rule reordering :premises (@p143) :args ((or @t81 @t88))) % 0.39/0.59 (step @p145 :rule chain_m_resolution :premises (@p144 @p138) :args (@t81 @t89 @t90)) % 0.39/0.59 (step @p146 :rule bool-double-not-elim :args (@t82)) % 0.39/0.59 (step @p147 :rule nary_cong :premises (@p140 @p146) :args ((or @t88 (not @t83)))) % 0.39/0.59 (step @p148 :rule cnf_or_neg :args (@t88 2)) % 0.39/0.59 (step @p149 :rule eq_resolve :premises (@p148 @p147)) % 0.39/0.59 (step @p150 :rule reordering :premises (@p149) :args ((or @t82 @t88))) % 0.39/0.59 (step @p151 :rule chain_m_resolution :premises (@p150 @p138) :args (@t82 @t89 @t90)) % 0.39/0.59 (step @p152 :rule eq-symm :args (@t85 @t7)) % 0.39/0.59 (step @p153 :rule refl :args (@t79)) % 0.39/0.59 (step @p154 :rule nary_cong :premises (@p153 @p152) :args (@t91)) % 0.39/0.59 (step @p155 :rule cong :premises (@p154) :args (@t92)) % 0.39/0.59 (step @p156 :rule cong :premises (@p155) :args (@t93)) % 0.39/0.59 (step @p157 :rule refl :args (@t87)) % 0.39/0.59 (step @p158 :rule nary_cong :premises (@p157 @p156) :args (@t94)) % 0.39/0.59 (step @p159 :rule refl :args (@t82)) % 0.39/0.59 (step @p160 :rule cong :premises (@p159 @p158) :args ((=> @t82 @t94))) % 0.39/0.59 (assume-push @p212 @t82) % 0.39/0.59 (step @p162 :rule instantiate :premises (@p151) :args ((@list @t85))) % 0.39/0.59 (step-pop @p213 :rule scope :premises (@p162)) % 0.39/0.59 (step @p163 :rule process_scope :premises (@p213) :args (@t94)) % 0.39/0.59 (step @p165 :rule eq_resolve :premises (@p163 @p160)) % 0.39/0.59 (step @p166 :rule implies_elim :premises (@p165)) % 0.39/0.59 (step @p167 :rule chain_m_resolution :premises (@p166 @p151) :args (@t97 (@list false) (@list @t82))) % 0.39/0.59 (step @p168 :rule bool-double-not-elim :args (@t86)) % 0.39/0.59 (step @p169 :rule nary_cong :premises (@p140 @p168) :args ((or @t88 (not @t87)))) % 0.39/0.59 (step @p170 :rule cnf_or_neg :args (@t88 0)) % 0.39/0.59 (step @p171 :rule eq_resolve :premises (@p170 @p169)) % 0.39/0.59 (step @p172 :rule reordering :premises (@p171) :args ((or @t86 @t88))) % 0.39/0.59 (step @p173 :rule chain_m_resolution :premises (@p172 @p138) :args (@t86 @t89 @t90)) % 0.39/0.59 (step @p174 :rule cnf_or_pos :args (@t97)) % 0.39/0.59 (step @p175 :rule reordering :premises (@p174) :args ((or @t87 @t96 (not @t97)))) % 0.39/0.59 (step @p176 :rule chain_m_resolution :premises (@p175 @p173 @p167) :args (@t96 (@list false false) (@list @t86 @t97))) % 0.39/0.59 (step @p177 :rule refl :args (@t103)) % 0.39/0.59 (step @p178 :rule bool-double-not-elim :args (@t95)) % 0.39/0.59 (step @p179 :rule nary_cong :premises (@p178 @p177) :args ((or (not @t96) @t103))) % 0.39/0.59 (step @p180 :rule eq-symm :args (@t98 @t85)) % 0.39/0.59 (step @p181 :rule refl :args (@t101)) % 0.39/0.59 (step @p182 :rule nary_cong :premises (@p181 @p180) :args (@t104)) % 0.39/0.59 (step @p183 :rule cong :premises (@p182) :args (@t105)) % 0.39/0.59 (step @p184 :rule refl :args (@t96)) % 0.39/0.59 (step @p185 :rule cong :premises (@p184 @p183) :args ((=> @t96 @t105))) % 0.39/0.59 (assume-push @p214 @t96) % 0.39/0.59 (step @p187 :rule skolemize :premises (@p176)) % 0.39/0.59 (step-pop @p215 :rule scope :premises (@p187)) % 0.39/0.59 (step @p188 :rule process_scope :premises (@p215) :args (@t105)) % 0.39/0.59 (step @p190 :rule eq_resolve :premises (@p188 @p185)) % 0.39/0.59 (step @p191 :rule implies_elim :premises (@p190)) % 0.39/0.59 (step @p192 :rule eq_resolve :premises (@p191 @p179)) % 0.39/0.59 (step @p193 :rule chain_m_resolution :premises (@p192 @p176) :args (@t103 @t89 (@list @t95))) % 0.39/0.59 (step @p194 :rule cnf_or_neg :args (@t102 1)) % 0.39/0.59 (step @p195 :rule chain_m_resolution :premises (@p194 @p193) :args ((not @t99) @t89 @t106)) % 0.39/0.59 (step @p196 :rule bool-double-not-elim :args (@t100)) % 0.39/0.59 (step @p197 :rule refl :args (@t102)) % 0.39/0.59 (step @p198 :rule nary_cong :premises (@p197 @p196) :args ((or @t102 (not @t101)))) % 0.39/0.59 (step @p199 :rule cnf_or_neg :args (@t102 0)) % 0.39/0.59 (step @p200 :rule eq_resolve :premises (@p199 @p198)) % 0.39/0.59 (step @p201 :rule reordering :premises (@p200) :args ((or @t100 @t102))) % 0.39/0.59 (step @p202 :rule chain_m_resolution :premises (@p201 @p193) :args (@t100 @t89 @t106)) % 0.39/0.59 (step @p203 :rule cnf_or_pos :args (@t107)) % 0.39/0.59 (step @p204 :rule reordering :premises (@p203) :args ((or @t87 @t101 @t99 @t108))) % 0.39/0.59 (step @p205 :rule chain_m_resolution :premises (@p204 @p173 @p202 @p195) :args (@t108 (@list false false true) (@list @t86 @t100 @t99))) % 0.39/0.59 (assume-push @p216 @t81) % 0.39/0.59 (step @p207 :rule instantiate :premises (@p145) :args ((@list @t85 @t98))) % 0.39/0.59 (step-pop @p217 :rule scope :premises (@p207)) % 0.39/0.59 (step @p208 :rule process_scope :premises (@p217) :args (@t107)) % 0.39/0.59 (step @p210 :rule implies_elim :premises (@p208)) % 0.39/0.59 (step @p211 false :rule chain_m_resolution :premises (@p210 @p205 @p145) :args (false (@list true false) (@list @t107 @t81))) % 0.39/0.59 ) % 0.39/0.59 % SZS output end Proof % 0.39/0.59 % cvc5 exiting %------------------------------------------------------------------------------