%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU899^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n014.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 08:53:30 AM UTC 2026 % Result : Theorem 0.36s 0.56s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU899^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n014.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 17:58:28 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.48 %----Proving TH0 % 0.36/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.56 % SZS status Theorem % 0.36/0.56 % SZS output start Proof % 0.36/0.56 ( % 0.36/0.56 (declare-sort tptp.b 0) % 0.36/0.56 (declare-sort tptp.a 0) % 0.36/0.56 (declare-const tptp.cR (-> tptp.b Bool)) % 0.36/0.56 (declare-const tptp.cS (-> tptp.b Bool)) % 0.36/0.56 (declare-const tptp.cF (-> tptp.b tptp.a)) % 0.36/0.56 (define @t1 () (@var "Xt" tptp.b)) % 0.36/0.56 (define @t2 () (_ tptp.cF @t1)) % 0.36/0.56 (define @t3 () (@var "Xx" tptp.a)) % 0.36/0.56 (define @t4 () (= @t3 @t2)) % 0.36/0.56 (define @t5 () (_ tptp.cS @t1)) % 0.36/0.56 (define @t6 () (and @t5 @t4)) % 0.36/0.56 (define @t7 () (@list @t1)) % 0.36/0.56 (define @t8 () (exists @t7 @t6)) % 0.36/0.56 (define @t9 () (_ tptp.cR @t1)) % 0.36/0.56 (define @t10 () (and @t9 @t4)) % 0.36/0.56 (define @t11 () (exists @t7 @t10)) % 0.36/0.56 (define @t12 () (or @t11 @t8)) % 0.36/0.56 (define @t13 () (or @t9 @t5)) % 0.36/0.56 (define @t14 () (and @t13 @t4)) % 0.36/0.56 (define @t15 () (exists @t7 @t14)) % 0.36/0.56 (define @t16 () (= @t15 @t12)) % 0.36/0.56 (define @t17 () (@list @t3)) % 0.36/0.56 (define @t18 () (forall @t17 @t16)) % 0.36/0.56 (define @t19 () (not @t18)) % 0.36/0.56 (define @t20 () (tptp.cF @t1)) % 0.36/0.56 (define @t21 () (not @t4)) % 0.36/0.56 (define @t22 () (tptp.cS @t1)) % 0.36/0.56 (define @t23 () (not @t5)) % 0.36/0.56 (define @t24 () (or @t23 @t21)) % 0.36/0.56 (define @t25 () (forall @t7 (not @t6))) % 0.36/0.56 (define @t26 () (not @t25)) % 0.36/0.56 (define @t27 () (tptp.cR @t1)) % 0.36/0.56 (define @t28 () (not @t9)) % 0.36/0.56 (define @t29 () (or @t28 @t21)) % 0.36/0.56 (define @t30 () (forall @t7 (not @t10))) % 0.36/0.56 (define @t31 () (not @t30)) % 0.36/0.56 (define @t32 () (and @t28 @t23)) % 0.36/0.56 (define @t33 () (or @t32 @t21)) % 0.36/0.56 (define @t34 () (forall @t7 (not @t14))) % 0.36/0.56 (define @t35 () (not @t34)) % 0.36/0.56 (define @t36 () (not (= @t3 @t20))) % 0.36/0.56 (define @t37 () (not @t22)) % 0.36/0.56 (define @t38 () (not @t27)) % 0.36/0.56 (define @t39 () (and @t38 @t37)) % 0.36/0.56 (define @t40 () (forall @t17 (= (not (forall @t7 (or @t39 @t36))) (or (not (forall @t7 (or @t38 @t36))) (not (forall @t7 (or @t37 @t36))))))) % 0.36/0.56 (define @t41 () (@quantifiers_skolemize @t40 0)) % 0.36/0.56 (define @t42 () (not (= @t20 @t41))) % 0.36/0.56 (define @t43 () (forall @t7 (or @t37 @t42))) % 0.36/0.56 (define @t44 () (not @t43)) % 0.36/0.56 (define @t45 () (forall @t7 (or @t38 @t42))) % 0.36/0.56 (define @t46 () (not @t45)) % 0.36/0.56 (define @t47 () (or @t46 @t44)) % 0.36/0.56 (define @t48 () (forall @t7 (or @t39 @t42))) % 0.36/0.56 (define @t49 () (not @t48)) % 0.36/0.56 (define @t50 () (= @t49 @t47)) % 0.36/0.56 (define @t51 () (not @t50)) % 0.36/0.56 (define @t52 () (not @t40)) % 0.36/0.56 (define @t53 () (not (= @t41 @t20))) % 0.36/0.56 (define @t54 () (or @t37 @t53)) % 0.36/0.56 (define @t55 () (forall @t7 @t54)) % 0.36/0.56 (define @t56 () (not @t55)) % 0.36/0.56 (define @t57 () (or @t38 @t53)) % 0.36/0.56 (define @t58 () (forall @t7 @t57)) % 0.36/0.56 (define @t59 () (not @t58)) % 0.36/0.56 (define @t60 () (or @t59 @t56)) % 0.36/0.56 (define @t61 () (or @t39 @t53)) % 0.36/0.56 (define @t62 () (forall @t7 @t61)) % 0.36/0.56 (define @t63 () (not @t62)) % 0.36/0.56 (define @t64 () (= @t63 @t60)) % 0.36/0.56 (define @t65 () (not @t64)) % 0.36/0.56 (define @t66 () (@list true)) % 0.36/0.56 (define @t67 () (not @t47)) % 0.36/0.56 (define @t68 () (not @t49)) % 0.36/0.56 (define @t69 () (not @t46)) % 0.36/0.56 (define @t70 () (not @t44)) % 0.36/0.56 (define @t71 () (@quantifiers_skolemize @t48 0)) % 0.36/0.56 (define @t72 () (tptp.cF @t71)) % 0.36/0.56 (define @t73 () (= @t41 @t72)) % 0.36/0.56 (define @t74 () (not @t73)) % 0.36/0.56 (define @t75 () (tptp.cS @t71)) % 0.36/0.56 (define @t76 () (not @t75)) % 0.36/0.56 (define @t77 () (tptp.cR @t71)) % 0.36/0.56 (define @t78 () (not @t77)) % 0.36/0.56 (define @t79 () (and @t78 @t76)) % 0.36/0.56 (define @t80 () (or @t79 @t74)) % 0.36/0.56 (define @t81 () (not @t80)) % 0.36/0.56 (define @t82 () (not (= @t72 @t41))) % 0.36/0.56 (define @t83 () (or @t79 @t82)) % 0.36/0.56 (define @t84 () (not @t83)) % 0.36/0.56 (define @t85 () (or @t78 @t82)) % 0.36/0.56 (define @t86 () (@list @t71)) % 0.36/0.56 (define @t87 () (or @t78 @t74)) % 0.36/0.56 (define @t88 () (or @t76 @t74)) % 0.36/0.56 (define @t89 () (or @t76 @t82)) % 0.36/0.56 (define @t90 () (@quantifiers_skolemize @t45 0)) % 0.36/0.56 (define @t91 () (tptp.cR @t90)) % 0.36/0.56 (define @t92 () (tptp.cF @t90)) % 0.36/0.56 (define @t93 () (= @t41 @t92)) % 0.36/0.56 (define @t94 () (not @t93)) % 0.36/0.56 (define @t95 () (not @t91)) % 0.36/0.56 (define @t96 () (or @t95 @t94)) % 0.36/0.56 (define @t97 () (and @t95 (not (tptp.cS @t90)))) % 0.36/0.56 (define @t98 () (not (= @t92 @t41))) % 0.36/0.56 (define @t99 () (or @t97 @t98)) % 0.36/0.56 (define @t100 () (or @t97 @t94)) % 0.36/0.56 (define @t101 () (@list false)) % 0.36/0.56 (define @t102 () (@list @t48)) % 0.36/0.56 (define @t103 () (not @t96)) % 0.36/0.56 (define @t104 () (or @t95 @t98)) % 0.36/0.56 (define @t105 () (not @t104)) % 0.36/0.56 (define @t106 () (@quantifiers_skolemize @t43 0)) % 0.36/0.56 (define @t107 () (tptp.cF @t106)) % 0.36/0.56 (define @t108 () (= @t41 @t107)) % 0.36/0.56 (define @t109 () (not @t108)) % 0.36/0.56 (define @t110 () (tptp.cS @t106)) % 0.36/0.56 (define @t111 () (not @t110)) % 0.36/0.56 (define @t112 () (or @t111 @t109)) % 0.36/0.56 (define @t113 () (not @t112)) % 0.36/0.56 (define @t114 () (not (= @t107 @t41))) % 0.36/0.56 (define @t115 () (or @t111 @t114)) % 0.36/0.56 (define @t116 () (not @t115)) % 0.36/0.56 (define @t117 () (@list @t112)) % 0.36/0.56 (define @t118 () (and (not (tptp.cR @t106)) @t111)) % 0.36/0.56 (define @t119 () (not @t118)) % 0.36/0.56 (define @t120 () (or @t118 @t114)) % 0.36/0.56 (define @t121 () (or @t118 @t109)) % 0.36/0.56 (assume @p1 @t19) % 0.36/0.56 (assume @p2 true) % 0.36/0.56 (step @p3 :rule refl :args (@t20)) % 0.36/0.56 (step @p4 :rule refl :args (@t2)) % 0.36/0.56 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t2 @t20))) % 0.36/0.56 (step @p6 :rule symm :premises (@p5)) % 0.36/0.56 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.36/0.56 (step @p8 :rule refl :args (@t3)) % 0.36/0.56 (step @p9 :rule cong :premises (@p8 @p7) :args (@t4)) % 0.36/0.56 (step @p10 :rule cong :premises (@p9) :args (@t21)) % 0.36/0.56 (step @p11 :rule refl :args (@t22)) % 0.36/0.56 (step @p12 :rule refl :args (@t5)) % 0.36/0.56 (step @p13 :rule cong :premises (@p12 @p11) :args ((= @t5 @t22))) % 0.36/0.56 (step @p14 :rule symm :premises (@p13)) % 0.36/0.56 (step @p15 :rule eq_resolve :premises (@p12 @p14)) % 0.36/0.56 (step @p16 :rule cong :premises (@p15) :args (@t23)) % 0.36/0.56 (step @p17 :rule nary_cong :premises (@p16 @p10) :args (@t24)) % 0.36/0.56 (step @p18 :rule cong :premises (@p17) :args ((forall @t7 @t24))) % 0.36/0.56 (step @p19 :rule bool-and-de-morgan :args (@t5 @t4 true)) % 0.36/0.56 (step @p20 :rule cong :premises (@p19) :args (@t25)) % 0.36/0.56 (step @p21 :rule trans :premises (@p20 @p18)) % 0.36/0.56 (step @p22 :rule cong :premises (@p21) :args (@t26)) % 0.36/0.56 (step @p23 :rule exists-elim :args ((= @t8 @t26))) % 0.36/0.56 (step @p24 :rule trans :premises (@p23 @p22)) % 0.36/0.56 (step @p25 :rule refl :args (@t27)) % 0.36/0.56 (step @p26 :rule refl :args (@t9)) % 0.36/0.56 (step @p27 :rule cong :premises (@p26 @p25) :args ((= @t9 @t27))) % 0.36/0.56 (step @p28 :rule symm :premises (@p27)) % 0.36/0.56 (step @p29 :rule eq_resolve :premises (@p26 @p28)) % 0.36/0.56 (step @p30 :rule cong :premises (@p29) :args (@t28)) % 0.36/0.56 (step @p31 :rule nary_cong :premises (@p30 @p10) :args (@t29)) % 0.36/0.56 (step @p32 :rule cong :premises (@p31) :args ((forall @t7 @t29))) % 0.36/0.56 (step @p33 :rule bool-and-de-morgan :args (@t9 @t4 true)) % 0.36/0.56 (step @p34 :rule cong :premises (@p33) :args (@t30)) % 0.36/0.56 (step @p35 :rule trans :premises (@p34 @p32)) % 0.36/0.56 (step @p36 :rule cong :premises (@p35) :args (@t31)) % 0.36/0.56 (step @p37 :rule exists-elim :args ((= @t11 @t31))) % 0.36/0.56 (step @p38 :rule trans :premises (@p37 @p36)) % 0.36/0.56 (step @p39 :rule nary_cong :premises (@p38 @p24) :args (@t12)) % 0.36/0.56 (step @p40 :rule nary_cong :premises (@p30 @p16) :args (@t32)) % 0.36/0.56 (step @p41 :rule nary_cong :premises (@p40 @p10) :args (@t33)) % 0.36/0.56 (step @p42 :rule cong :premises (@p41) :args ((forall @t7 @t33))) % 0.36/0.56 (step @p43 :rule refl :args (@t21)) % 0.36/0.56 (step @p44 :rule bool-or-de-morgan :args (@t9 @t5 false)) % 0.36/0.56 (step @p45 :rule nary_cong :premises (@p44 @p43) :args ((or (not @t13) @t21))) % 0.36/0.56 (step @p46 :rule bool-and-de-morgan :args (@t13 @t4 true)) % 0.36/0.56 (step @p47 :rule trans :premises (@p46 @p45)) % 0.36/0.56 (step @p48 :rule cong :premises (@p47) :args (@t34)) % 0.36/0.56 (step @p49 :rule trans :premises (@p48 @p42)) % 0.36/0.56 (step @p50 :rule cong :premises (@p49) :args (@t35)) % 0.36/0.56 (step @p51 :rule exists-elim :args ((= @t15 @t35))) % 0.36/0.56 (step @p52 :rule trans :premises (@p51 @p50)) % 0.36/0.56 (step @p53 :rule cong :premises (@p52 @p39) :args (@t16)) % 0.36/0.56 (step @p54 :rule cong :premises (@p53) :args (@t18)) % 0.36/0.56 (step @p55 :rule cong :premises (@p54) :args (@t19)) % 0.36/0.56 (step @p56 :rule eq_resolve :premises (@p1 @p55)) % 0.36/0.56 (step @p57 :rule refl :args (@t51)) % 0.36/0.56 (step @p58 :rule bool-double-not-elim :args (@t40)) % 0.36/0.56 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or (not @t52) @t51))) % 0.36/0.56 (step @p60 :rule eq-symm :args (@t41 @t20)) % 0.36/0.56 (step @p61 :rule cong :premises (@p60) :args (@t53)) % 0.36/0.56 (step @p62 :rule refl :args (@t37)) % 0.36/0.56 (step @p63 :rule nary_cong :premises (@p62 @p61) :args (@t54)) % 0.36/0.56 (step @p64 :rule cong :premises (@p63) :args (@t55)) % 0.36/0.56 (step @p65 :rule cong :premises (@p64) :args (@t56)) % 0.36/0.56 (step @p66 :rule refl :args (@t38)) % 0.36/0.56 (step @p67 :rule nary_cong :premises (@p66 @p61) :args (@t57)) % 0.36/0.56 (step @p68 :rule cong :premises (@p67) :args (@t58)) % 0.36/0.56 (step @p69 :rule cong :premises (@p68) :args (@t59)) % 0.36/0.56 (step @p70 :rule nary_cong :premises (@p69 @p65) :args (@t60)) % 0.36/0.56 (step @p71 :rule refl :args (@t39)) % 0.36/0.56 (step @p72 :rule nary_cong :premises (@p71 @p61) :args (@t61)) % 0.36/0.56 (step @p73 :rule cong :premises (@p72) :args (@t62)) % 0.36/0.56 (step @p74 :rule cong :premises (@p73) :args (@t63)) % 0.36/0.56 (step @p75 :rule cong :premises (@p74 @p70) :args (@t64)) % 0.36/0.56 (step @p76 :rule cong :premises (@p75) :args (@t65)) % 0.36/0.56 (step @p77 :rule refl :args (@t52)) % 0.36/0.56 (step @p78 :rule cong :premises (@p77 @p76) :args ((=> @t52 @t65))) % 0.36/0.56 (assume-push @p255 @t52) % 0.36/0.56 (step @p80 :rule skolemize :premises (@p56)) % 0.36/0.56 (step-pop @p256 :rule scope :premises (@p80)) % 0.36/0.56 (step @p81 :rule process_scope :premises (@p256) :args (@t65)) % 0.36/0.56 (step @p83 :rule eq_resolve :premises (@p81 @p78)) % 0.36/0.56 (step @p84 :rule implies_elim :premises (@p83)) % 0.36/0.56 (step @p85 :rule eq_resolve :premises (@p84 @p59)) % 0.36/0.56 (step @p86 :rule chain_m_resolution :premises (@p85 @p56) :args (@t51 @t66 (@list @t40))) % 0.36/0.56 (step @p87 :rule refl :args (@t67)) % 0.36/0.56 (step @p88 :rule bool-double-not-elim :args (@t48)) % 0.36/0.56 (step @p89 :rule refl :args (@t50)) % 0.36/0.56 (step @p90 :rule nary_cong :premises (@p89 @p88 @p87) :args ((or @t50 @t68 @t67))) % 0.36/0.56 (step @p91 :rule cnf_equiv_neg2 :args (@t50)) % 0.36/0.56 (step @p92 :rule eq_resolve :premises (@p91 @p90)) % 0.36/0.56 (step @p93 :rule reordering :premises (@p92) :args ((or @t48 @t50 @t67))) % 0.36/0.56 (step @p94 :rule bool-double-not-elim :args (@t45)) % 0.36/0.56 (step @p95 :rule refl :args (@t47)) % 0.36/0.56 (step @p96 :rule nary_cong :premises (@p95 @p94) :args ((or @t47 @t69))) % 0.36/0.56 (step @p97 :rule cnf_or_neg :args (@t47 0)) % 0.36/0.56 (step @p98 :rule eq_resolve :premises (@p97 @p96)) % 0.36/0.56 (step @p99 :rule reordering :premises (@p98) :args ((or @t45 @t47))) % 0.36/0.56 (step @p100 :rule bool-double-not-elim :args (@t43)) % 0.36/0.56 (step @p101 :rule nary_cong :premises (@p95 @p100) :args ((or @t47 @t70))) % 0.36/0.56 (step @p102 :rule cnf_or_neg :args (@t47 1)) % 0.36/0.56 (step @p103 :rule eq_resolve :premises (@p102 @p101)) % 0.36/0.56 (step @p104 :rule reordering :premises (@p103) :args ((or @t43 @t47))) % 0.36/0.56 (step @p105 :rule refl :args (@t81)) % 0.36/0.56 (step @p106 :rule nary_cong :premises (@p88 @p105) :args ((or @t68 @t81))) % 0.36/0.56 (step @p107 :rule eq-symm :args (@t72 @t41)) % 0.36/0.56 (step @p108 :rule cong :premises (@p107) :args (@t82)) % 0.36/0.56 (step @p109 :rule refl :args (@t79)) % 0.36/0.56 (step @p110 :rule nary_cong :premises (@p109 @p108) :args (@t83)) % 0.36/0.56 (step @p111 :rule cong :premises (@p110) :args (@t84)) % 0.36/0.56 (step @p112 :rule refl :args (@t49)) % 0.36/0.56 (step @p113 :rule cong :premises (@p112 @p111) :args ((=> @t49 @t84))) % 0.36/0.56 (assume-push @p257 @t49) % 0.36/0.56 (step @p115 :rule skolemize :premises (@p257)) % 0.36/0.56 (step-pop @p258 :rule scope :premises (@p115)) % 0.36/0.56 (step @p116 :rule process_scope :premises (@p258) :args (@t84)) % 0.36/0.56 (step @p118 :rule eq_resolve :premises (@p116 @p113)) % 0.36/0.56 (step @p119 :rule implies_elim :premises (@p118)) % 0.36/0.56 (step @p120 :rule eq_resolve :premises (@p119 @p106)) % 0.36/0.56 (step @p121 :rule cnf_or_neg :args (@t80 0)) % 0.36/0.56 (step @p122 :rule bool-double-not-elim :args (@t73)) % 0.36/0.56 (step @p123 :rule refl :args (@t80)) % 0.36/0.56 (step @p124 :rule nary_cong :premises (@p123 @p122) :args ((or @t80 (not @t74)))) % 0.36/0.56 (step @p125 :rule cnf_or_neg :args (@t80 1)) % 0.36/0.56 (step @p126 :rule eq_resolve :premises (@p125 @p124)) % 0.36/0.56 (step @p127 :rule reordering :premises (@p126) :args ((or @t73 @t80))) % 0.36/0.56 (step @p128 :rule refl :args (@t78)) % 0.36/0.56 (step @p129 :rule nary_cong :premises (@p128 @p108) :args (@t85)) % 0.36/0.56 (step @p130 :rule refl :args (@t45)) % 0.36/0.56 (step @p131 :rule cong :premises (@p130 @p129) :args ((=> @t45 @t85))) % 0.36/0.56 (assume-push @p259 @t45) % 0.36/0.56 (step @p133 :rule instantiate :premises (@p259) :args (@t86)) % 0.36/0.56 (step-pop @p260 :rule scope :premises (@p133)) % 0.36/0.56 (step @p134 :rule process_scope :premises (@p260) :args (@t85)) % 0.36/0.56 (step @p136 :rule eq_resolve :premises (@p134 @p131)) % 0.36/0.56 (step @p137 :rule implies_elim :premises (@p136)) % 0.36/0.56 (step @p138 :rule cnf_or_pos :args (@t87)) % 0.36/0.56 (step @p139 :rule reordering :premises (@p138) :args ((or @t78 @t74 (not @t87)))) % 0.36/0.56 (step @p140 :rule bool-double-not-elim :args (@t75)) % 0.36/0.56 (step @p141 :rule bool-double-not-elim :args (@t77)) % 0.36/0.56 (step @p142 :rule nary_cong :premises (@p109 @p141 @p140) :args ((or @t79 (not @t78) (not @t76)))) % 0.36/0.56 (step @p143 :rule cnf_and_neg :args (@t79)) % 0.36/0.56 (step @p144 :rule eq_resolve :premises (@p143 @p142)) % 0.36/0.56 (step @p145 :rule reordering :premises (@p144) :args ((or @t77 @t75 @t79))) % 0.36/0.56 (step @p146 :rule cnf_or_pos :args (@t88)) % 0.36/0.56 (step @p147 :rule reordering :premises (@p146) :args ((or @t76 @t74 (not @t88)))) % 0.36/0.56 (step @p148 :rule refl :args (@t76)) % 0.36/0.56 (step @p149 :rule nary_cong :premises (@p148 @p108) :args (@t89)) % 0.36/0.56 (step @p150 :rule refl :args (@t43)) % 0.36/0.56 (step @p151 :rule cong :premises (@p150 @p149) :args ((=> @t43 @t89))) % 0.36/0.56 (assume-push @p261 @t43) % 0.36/0.56 (step @p153 :rule instantiate :premises (@p261) :args (@t86)) % 0.36/0.56 (step-pop @p262 :rule scope :premises (@p153)) % 0.36/0.56 (step @p154 :rule process_scope :premises (@p262) :args (@t89)) % 0.36/0.56 (step @p156 :rule eq_resolve :premises (@p154 @p151)) % 0.36/0.56 (step @p157 :rule implies_elim :premises (@p156)) % 0.36/0.56 (step @p158 :rule chain_m_resolution :premises (@p157 @p147 @p145 @p139 @p137 @p127 @p121 @p120 @p104 @p99 @p93 @p86) :args (@t48 (@list true false true false false true true false false true true) (@list @t88 @t75 @t77 @t87 @t73 @t79 @t80 @t43 @t45 @t47 @t50))) % 0.36/0.56 (step @p159 :rule cnf_equiv_neg1 :args (@t50)) % 0.36/0.56 (step @p160 :rule reordering :premises (@p159) :args ((or @t49 @t47 @t50))) % 0.36/0.56 (step @p161 :rule chain_m_resolution :premises (@p160 @p158 @p86) :args (@t47 (@list false true) (@list @t48 @t50))) % 0.36/0.56 (step @p162 :rule bool-double-not-elim :args (@t91)) % 0.36/0.56 (step @p163 :rule refl :args (@t96)) % 0.36/0.56 (step @p164 :rule nary_cong :premises (@p163 @p162) :args ((or @t96 (not @t95)))) % 0.36/0.56 (step @p165 :rule cnf_or_neg :args (@t96 0)) % 0.36/0.56 (step @p166 :rule eq_resolve :premises (@p165 @p164)) % 0.36/0.56 (step @p167 :rule reordering :premises (@p166) :args ((or @t91 @t96))) % 0.36/0.56 (step @p168 :rule bool-double-not-elim :args (@t93)) % 0.36/0.56 (step @p169 :rule nary_cong :premises (@p163 @p168) :args ((or @t96 (not @t94)))) % 0.36/0.56 (step @p170 :rule cnf_or_neg :args (@t96 1)) % 0.36/0.56 (step @p171 :rule eq_resolve :premises (@p170 @p169)) % 0.36/0.56 (step @p172 :rule reordering :premises (@p171) :args ((or @t93 @t96))) % 0.36/0.56 (step @p173 :rule cnf_and_pos :args (@t97 0)) % 0.36/0.56 (step @p174 :rule reordering :premises (@p173) :args ((or @t95 (not @t97)))) % 0.36/0.56 (step @p175 :rule eq-symm :args (@t92 @t41)) % 0.36/0.56 (step @p176 :rule cong :premises (@p175) :args (@t98)) % 0.36/0.56 (step @p177 :rule refl :args (@t97)) % 0.36/0.56 (step @p178 :rule nary_cong :premises (@p177 @p176) :args (@t99)) % 0.36/0.56 (step @p179 :rule refl :args (@t48)) % 0.36/0.56 (step @p180 :rule cong :premises (@p179 @p178) :args ((=> @t48 @t99))) % 0.36/0.56 (assume-push @p263 @t48) % 0.36/0.56 (step @p182 :rule instantiate :premises (@p263) :args ((@list @t90))) % 0.36/0.56 (step-pop @p264 :rule scope :premises (@p182)) % 0.36/0.56 (step @p183 :rule process_scope :premises (@p264) :args (@t99)) % 0.36/0.56 (step @p185 :rule eq_resolve :premises (@p183 @p180)) % 0.36/0.56 (step @p186 :rule implies_elim :premises (@p185)) % 0.36/0.56 (step @p187 :rule chain_m_resolution :premises (@p186 @p158) :args (@t100 @t101 @t102)) % 0.36/0.56 (step @p188 :rule cnf_or_pos :args (@t100)) % 0.36/0.56 (step @p189 :rule reordering :premises (@p188) :args ((or @t94 @t97 (not @t100)))) % 0.36/0.56 (step @p190 :rule chain_m_resolution :premises (@p189 @p187 @p174 @p172 @p167) :args (@t96 (@list false true false false) (@list @t100 @t97 @t93 @t91))) % 0.36/0.56 (step @p191 :rule refl :args (@t103)) % 0.36/0.56 (step @p192 :rule nary_cong :premises (@p94 @p191) :args ((or @t69 @t103))) % 0.36/0.56 (step @p193 :rule refl :args (@t95)) % 0.36/0.56 (step @p194 :rule nary_cong :premises (@p193 @p176) :args (@t104)) % 0.36/0.56 (step @p195 :rule cong :premises (@p194) :args (@t105)) % 0.36/0.56 (step @p196 :rule refl :args (@t46)) % 0.36/0.56 (step @p197 :rule cong :premises (@p196 @p195) :args ((=> @t46 @t105))) % 0.36/0.56 (assume-push @p265 @t46) % 0.36/0.56 (step @p199 :rule skolemize :premises (@p265)) % 0.36/0.56 (step-pop @p266 :rule scope :premises (@p199)) % 0.36/0.56 (step @p200 :rule process_scope :premises (@p266) :args (@t105)) % 0.36/0.56 (step @p202 :rule eq_resolve :premises (@p200 @p197)) % 0.36/0.56 (step @p203 :rule implies_elim :premises (@p202)) % 0.36/0.56 (step @p204 :rule eq_resolve :premises (@p203 @p192)) % 0.36/0.56 (step @p205 :rule chain_m_resolution :premises (@p204 @p190) :args (@t45 @t101 (@list @t96))) % 0.36/0.56 (step @p206 :rule cnf_or_pos :args (@t47)) % 0.36/0.56 (step @p207 :rule reordering :premises (@p206) :args ((or @t46 @t44 @t67))) % 0.36/0.56 (step @p208 :rule chain_m_resolution :premises (@p207 @p205 @p161) :args (@t44 (@list false false) (@list @t45 @t47))) % 0.36/0.56 (step @p209 :rule refl :args (@t113)) % 0.36/0.56 (step @p210 :rule nary_cong :premises (@p100 @p209) :args ((or @t70 @t113))) % 0.36/0.56 (step @p211 :rule eq-symm :args (@t107 @t41)) % 0.36/0.56 (step @p212 :rule cong :premises (@p211) :args (@t114)) % 0.36/0.56 (step @p213 :rule refl :args (@t111)) % 0.36/0.56 (step @p214 :rule nary_cong :premises (@p213 @p212) :args (@t115)) % 0.36/0.56 (step @p215 :rule cong :premises (@p214) :args (@t116)) % 0.36/0.56 (step @p216 :rule refl :args (@t44)) % 0.36/0.56 (step @p217 :rule cong :premises (@p216 @p215) :args ((=> @t44 @t116))) % 0.36/0.56 (assume-push @p267 @t44) % 0.36/0.56 (step @p219 :rule skolemize :premises (@p267)) % 0.36/0.56 (step-pop @p268 :rule scope :premises (@p219)) % 0.36/0.56 (step @p220 :rule process_scope :premises (@p268) :args (@t116)) % 0.36/0.56 (step @p222 :rule eq_resolve :premises (@p220 @p217)) % 0.36/0.56 (step @p223 :rule implies_elim :premises (@p222)) % 0.36/0.56 (step @p224 :rule eq_resolve :premises (@p223 @p210)) % 0.36/0.56 (step @p225 :rule chain_m_resolution :premises (@p224 @p208) :args (@t113 @t66 (@list @t43))) % 0.36/0.56 (step @p226 :rule bool-double-not-elim :args (@t108)) % 0.36/0.56 (step @p227 :rule refl :args (@t112)) % 0.36/0.56 (step @p228 :rule nary_cong :premises (@p227 @p226) :args ((or @t112 (not @t109)))) % 0.36/0.56 (step @p229 :rule cnf_or_neg :args (@t112 1)) % 0.36/0.56 (step @p230 :rule eq_resolve :premises (@p229 @p228)) % 0.36/0.56 (step @p231 :rule reordering :premises (@p230) :args ((or @t108 @t112))) % 0.36/0.56 (step @p232 :rule chain_m_resolution :premises (@p231 @p225) :args (@t108 @t66 @t117)) % 0.36/0.56 (step @p233 :rule bool-double-not-elim :args (@t110)) % 0.36/0.56 (step @p234 :rule nary_cong :premises (@p227 @p233) :args ((or @t112 (not @t111)))) % 0.36/0.56 (step @p235 :rule cnf_or_neg :args (@t112 0)) % 0.36/0.56 (step @p236 :rule eq_resolve :premises (@p235 @p234)) % 0.36/0.56 (step @p237 :rule reordering :premises (@p236) :args ((or @t110 @t112))) % 0.36/0.56 (step @p238 :rule chain_m_resolution :premises (@p237 @p225) :args (@t110 @t66 @t117)) % 0.36/0.56 (step @p239 :rule cnf_and_pos :args (@t118 1)) % 0.36/0.56 (step @p240 :rule reordering :premises (@p239) :args ((or @t111 @t119))) % 0.36/0.56 (step @p241 :rule chain_m_resolution :premises (@p240 @p238) :args (@t119 @t101 (@list @t110))) % 0.36/0.56 (step @p242 :rule refl :args (@t118)) % 0.36/0.56 (step @p243 :rule nary_cong :premises (@p242 @p212) :args (@t120)) % 0.36/0.56 (step @p244 :rule cong :premises (@p179 @p243) :args ((=> @t48 @t120))) % 0.36/0.56 (assume-push @p269 @t48) % 0.36/0.56 (step @p246 :rule instantiate :premises (@p269) :args ((@list @t106))) % 0.36/0.56 (step-pop @p270 :rule scope :premises (@p246)) % 0.36/0.56 (step @p247 :rule process_scope :premises (@p270) :args (@t120)) % 0.36/0.56 (step @p249 :rule eq_resolve :premises (@p247 @p244)) % 0.36/0.56 (step @p250 :rule implies_elim :premises (@p249)) % 0.36/0.56 (step @p251 :rule chain_m_resolution :premises (@p250 @p158) :args (@t121 @t101 @t102)) % 0.36/0.56 (step @p252 :rule cnf_or_pos :args (@t121)) % 0.36/0.56 (step @p253 :rule reordering :premises (@p252) :args ((or @t109 @t118 (not @t121)))) % 0.36/0.56 (step @p254 false :rule chain_m_resolution :premises (@p253 @p251 @p241 @p232) :args (false (@list false true false) (@list @t121 @t118 @t108))) % 0.36/0.56 ) % 0.36/0.56 % SZS output end Proof % 0.36/0.56 % cvc5 exiting %------------------------------------------------------------------------------