%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV050^5 : 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 : n025.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 08:55:22 AM UTC 2026 % Result : Theorem 127.07s 127.33s % Output : Proof 127.07s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV050^5 : 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 % 0.17/0.34 % Computer : n025.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 18:10:31 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.48 %----Proving TH0 % 127.07/127.33 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 127.07/127.33 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 127.07/127.33 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s... % 127.07/127.33 % SZS status Theorem % 127.07/127.33 % SZS output start Proof % 127.07/127.33 ( % 127.07/127.33 (declare-sort tptp.a 0) % 127.07/127.33 (define @t1 () (@var "Xb" tptp.a)) % 127.07/127.33 (define @t2 () (@var "Xa" tptp.a)) % 127.07/127.33 (define @t3 () (@var "Xt" (-> tptp.a tptp.a Bool))) % 127.07/127.33 (define @t4 () (_ (_ @t3 @t2) @t1)) % 127.07/127.33 (define @t5 () (@var "Xs" (-> tptp.a tptp.a Bool))) % 127.07/127.33 (define @t6 () (_ (_ @t5 @t2) @t1)) % 127.07/127.33 (define @t7 () (@list @t2 @t1)) % 127.07/127.33 (define @t8 () (forall @t7 (=> @t6 @t4))) % 127.07/127.33 (define @t9 () (@var "Xx" tptp.a)) % 127.07/127.33 (define @t10 () (_ (_ @t3 @t9) @t9)) % 127.07/127.33 (define @t11 () (@list @t9)) % 127.07/127.33 (define @t12 () (forall @t11 @t10)) % 127.07/127.33 (define @t13 () (@var "Xr" (-> tptp.a tptp.a Bool))) % 127.07/127.33 (define @t14 () (_ (_ @t13 @t2) @t1)) % 127.07/127.33 (define @t15 () (forall @t7 (=> @t14 @t4))) % 127.07/127.33 (define @t16 () (and @t15 @t12)) % 127.07/127.33 (define @t17 () (=> @t16 @t8)) % 127.07/127.33 (define @t18 () (@list @t3)) % 127.07/127.33 (define @t19 () (forall @t18 @t17)) % 127.07/127.33 (define @t20 () (_ (_ @t5 @t9) @t9)) % 127.07/127.33 (define @t21 () (forall @t11 @t20)) % 127.07/127.33 (define @t22 () (forall @t7 (=> @t14 @t6))) % 127.07/127.33 (define @t23 () (and @t22 @t21 @t19)) % 127.07/127.33 (define @t24 () (@list @t5)) % 127.07/127.33 (define @t25 () (exists @t24 @t23)) % 127.07/127.33 (define @t26 () (@list @t13)) % 127.07/127.33 (define @t27 () (forall @t26 @t25)) % 127.07/127.33 (define @t28 () (not @t27)) % 127.07/127.33 (define @t29 () (@var "BOUND_VARIABLE_7479" tptp.a)) % 127.07/127.33 (define @t30 () (@var "BOUND_VARIABLE_7477" tptp.a)) % 127.07/127.33 (define @t31 () (_ @t3 @t30 @t29)) % 127.07/127.33 (define @t32 () (not (_ @t5 @t30 @t29))) % 127.07/127.33 (define @t33 () (_ @t3 @t9 @t9)) % 127.07/127.33 (define @t34 () (forall @t11 @t33)) % 127.07/127.33 (define @t35 () (not @t34)) % 127.07/127.33 (define @t36 () (_ @t3 @t2 @t1)) % 127.07/127.33 (define @t37 () (_ @t13 @t2 @t1)) % 127.07/127.33 (define @t38 () (not @t37)) % 127.07/127.33 (define @t39 () (forall @t7 (or @t38 @t36))) % 127.07/127.33 (define @t40 () (not @t39)) % 127.07/127.33 (define @t41 () (or @t40 @t35 @t32 @t31)) % 127.07/127.33 (define @t42 () (@list @t3 @t30 @t29)) % 127.07/127.33 (define @t43 () (forall @t42 @t41)) % 127.07/127.33 (define @t44 () (not @t43)) % 127.07/127.33 (define @t45 () (_ @t5 @t9 @t9)) % 127.07/127.33 (define @t46 () (forall @t11 @t45)) % 127.07/127.33 (define @t47 () (not @t46)) % 127.07/127.33 (define @t48 () (_ @t5 @t2 @t1)) % 127.07/127.33 (define @t49 () (forall @t7 (or @t38 @t48))) % 127.07/127.33 (define @t50 () (not @t49)) % 127.07/127.33 (define @t51 () (or @t50 @t47 @t44)) % 127.07/127.33 (define @t52 () (and @t49 @t46 @t43)) % 127.07/127.33 (define @t53 () (forall @t24 (not @t52))) % 127.07/127.33 (define @t54 () (not @t53)) % 127.07/127.33 (define @t55 () (or @t32 @t31)) % 127.07/127.33 (define @t56 () (or @t40 @t35 @t55)) % 127.07/127.33 (define @t57 () (forall @t42 @t56)) % 127.07/127.33 (define @t58 () (@list @t30 @t29)) % 127.07/127.33 (define @t59 () (forall @t58 @t56)) % 127.07/127.33 (define @t60 () (forall @t58 @t55)) % 127.07/127.33 (define @t61 () (or @t40 @t35 @t60)) % 127.07/127.33 (define @t62 () (forall @t7 (or (not @t48) @t36))) % 127.07/127.33 (define @t63 () (or @t40 @t35 @t62)) % 127.07/127.33 (define @t64 () (and @t39 @t34)) % 127.07/127.33 (define @t65 () (not @t6)) % 127.07/127.33 (define @t66 () (or @t65 @t4)) % 127.07/127.33 (define @t67 () (not @t14)) % 127.07/127.33 (define @t68 () (or @t67 @t4)) % 127.07/127.33 (define @t69 () (or @t67 @t6)) % 127.07/127.33 (define @t70 () (forall @t26 (not (forall @t24 @t51)))) % 127.07/127.33 (define @t71 () (@quantifiers_skolemize @t70 0)) % 127.07/127.33 (define @t72 () (_ @t71 @t2 @t1)) % 127.07/127.33 (define @t73 () (not @t72)) % 127.07/127.33 (define @t74 () (not (forall @t7 (or @t73 @t36)))) % 127.07/127.33 (define @t75 () (forall @t24 (or (not (forall @t7 (or @t73 @t48))) @t47 (not (forall @t42 (or @t74 @t35 @t32 @t31)))))) % 127.07/127.33 (define @t76 () (not @t70)) % 127.07/127.33 (define @t77 () (not (not @t75))) % 127.07/127.33 (define @t78 () (@list true)) % 127.07/127.33 (define @t79 () (_ @t71 @t30 @t29)) % 127.07/127.33 (define @t80 () (= @t30 @t29)) % 127.07/127.33 (define @t81 () (forall @t42 (or @t74 @t35 (and (not @t80) (not @t79)) @t31))) % 127.07/127.33 (define @t82 () (not @t81)) % 127.07/127.33 (define @t83 () (or @t80 @t79)) % 127.07/127.33 (define @t84 () (or @t74 @t35 (not @t83) @t31)) % 127.07/127.33 (define @t85 () (@var "BOUND_VARIABLE_14630" tptp.a)) % 127.07/127.33 (define @t86 () (@var "BOUND_VARIABLE_14629" tptp.a)) % 127.07/127.33 (define @t87 () (lambda (@list @t86 @t85) (or (= @t86 @t85) (_ @t71 @t86 @t85)))) % 127.07/127.33 (define @t88 () (_ @t87 @t30 @t29)) % 127.07/127.33 (define @t89 () (not @t88)) % 127.07/127.33 (define @t90 () (or @t74 @t35 @t89 @t31)) % 127.07/127.33 (define @t91 () (forall @t42 @t90)) % 127.07/127.33 (define @t92 () (not @t91)) % 127.07/127.33 (define @t93 () (_ @t71 @t9 @t9)) % 127.07/127.33 (define @t94 () (or (= @t9 @t9) @t93)) % 127.07/127.33 (define @t95 () (_ @t87 @t9 @t9)) % 127.07/127.33 (define @t96 () (forall @t11 @t95)) % 127.07/127.33 (define @t97 () (not @t96)) % 127.07/127.33 (define @t98 () (= @t2 @t1)) % 127.07/127.33 (define @t99 () (or @t73 @t98 @t72)) % 127.07/127.33 (define @t100 () (or @t98 @t72)) % 127.07/127.33 (define @t101 () (_ @t87 @t2 @t1)) % 127.07/127.33 (define @t102 () (or @t73 @t101)) % 127.07/127.33 (define @t103 () (forall @t7 @t102)) % 127.07/127.33 (define @t104 () (not @t103)) % 127.07/127.33 (define @t105 () (or @t104 @t97 @t92)) % 127.07/127.33 (define @t106 () (@quantifiers_skolemize @t81 0)) % 127.07/127.33 (define @t107 () (forall @t11 (_ @t106 @t9 @t9))) % 127.07/127.33 (define @t108 () (@quantifiers_skolemize @t81 2)) % 127.07/127.33 (define @t109 () (@quantifiers_skolemize @t81 1)) % 127.07/127.33 (define @t110 () (_ @t106 @t109 @t108)) % 127.07/127.33 (define @t111 () (_ @t71 @t109 @t108)) % 127.07/127.33 (define @t112 () (not @t111)) % 127.07/127.33 (define @t113 () (= @t109 @t108)) % 127.07/127.33 (define @t114 () (not @t113)) % 127.07/127.33 (define @t115 () (and @t114 @t112)) % 127.07/127.33 (define @t116 () (not @t107)) % 127.07/127.33 (define @t117 () (forall @t7 (or @t73 (_ @t106 @t2 @t1)))) % 127.07/127.33 (define @t118 () (not @t117)) % 127.07/127.33 (define @t119 () (or @t118 @t116 @t115 @t110)) % 127.07/127.33 (define @t120 () (@list @t119)) % 127.07/127.33 (define @t121 () (or @t112 @t110)) % 127.07/127.33 (assume @p1 @t28) % 127.07/127.33 (assume @p2 true) % 127.07/127.33 (step @p3 :rule evaluate :args ((= false true))) % 127.07/127.33 (step @p4 :rule aci_norm :args ((= (or @t50 (or @t47 @t44)) @t51))) % 127.07/127.33 (step @p5 :rule bool-and-de-morgan :args (@t46 @t43 true)) % 127.07/127.33 (step @p6 :rule refl :args (@t50)) % 127.07/127.33 (step @p7 :rule nary_cong :premises (@p6 @p5) :args ((or @t50 (not (and @t46 @t43))))) % 127.07/127.33 (step @p8 :rule bool-and-de-morgan :args (@t49 @t46 (and @t43))) % 127.07/127.33 (step @p9 :rule trans :premises (@p8 @p7)) % 127.07/127.33 (step @p10 :rule trans :premises (@p9 @p4)) % 127.07/127.33 (step @p11 :rule cong :premises (@p10) :args (@t53)) % 127.07/127.33 (step @p12 :rule cong :premises (@p11) :args (@t54)) % 127.07/127.33 (step @p13 :rule exists-elim :args ((= (exists @t24 @t52) @t54))) % 127.07/127.33 (step @p14 :rule trans :premises (@p13 @p12)) % 127.07/127.33 (step @p15 :rule aci_norm :args ((= @t56 @t41))) % 127.07/127.33 (step @p16 :rule cong :premises (@p15) :args (@t57)) % 127.07/127.33 (step @p17 :rule quant-merge-prenex :args ((= (forall @t18 @t59) @t57))) % 127.07/127.33 (step @p18 :rule alpha_equiv :args (@t60 (@list @t30 @t29) (@list @t2 @t1))) % 127.07/127.33 (step @p19 :rule refl :args (@t35)) % 127.07/127.33 (step @p20 :rule refl :args (@t40)) % 127.07/127.33 (step @p21 :rule nary_cong :premises (@p20 @p19 @p18) :args (@t61)) % 127.07/127.33 (step @p22 :rule quant-miniscope-or :args ((= @t59 @t61))) % 127.07/127.33 (step @p23 :rule trans :premises (@p22 @p21)) % 127.07/127.33 (step @p24 :rule symm :premises (@p23)) % 127.07/127.33 (step @p25 :rule cong :premises (@p24) :args ((forall @t18 @t63))) % 127.07/127.33 (step @p26 :rule trans :premises (@p25 @p17)) % 127.07/127.33 (step @p27 :rule trans :premises (@p26 @p16)) % 127.07/127.33 (step @p28 :rule aci_norm :args ((= (or (or @t40 @t35) @t62) @t63))) % 127.07/127.33 (step @p29 :rule refl :args (@t62)) % 127.07/127.33 (step @p30 :rule bool-and-de-morgan :args (@t39 @t34 true)) % 127.07/127.33 (step @p31 :rule nary_cong :premises (@p30 @p29) :args ((or (not @t64) @t62))) % 127.07/127.33 (step @p32 :rule trans :premises (@p31 @p28)) % 127.07/127.33 (step @p33 :rule bool-impl-elim :args (@t64 @t62)) % 127.07/127.33 (step @p34 :rule trans :premises (@p33 @p32)) % 127.07/127.33 (step @p35 :rule cong :premises (@p34) :args ((forall @t18 (=> @t64 @t62)))) % 127.07/127.33 (step @p36 :rule trans :premises (@p35 @p27)) % 127.07/127.33 (step @p37 :rule refl :args (@t36)) % 127.07/127.33 (step @p38 :rule refl :args (@t4)) % 127.07/127.33 (step @p39 :rule cong :premises (@p38 @p37) :args ((= @t4 @t36))) % 127.07/127.33 (step @p40 :rule symm :premises (@p39)) % 127.07/127.33 (step @p41 :rule eq_resolve :premises (@p38 @p40)) % 127.07/127.33 (step @p42 :rule refl :args (@t48)) % 127.07/127.33 (step @p43 :rule refl :args (@t6)) % 127.07/127.33 (step @p44 :rule cong :premises (@p43 @p42) :args ((= @t6 @t48))) % 127.07/127.33 (step @p45 :rule symm :premises (@p44)) % 127.07/127.33 (step @p46 :rule eq_resolve :premises (@p43 @p45)) % 127.07/127.33 (step @p47 :rule cong :premises (@p46) :args (@t65)) % 127.07/127.33 (step @p48 :rule nary_cong :premises (@p47 @p41) :args (@t66)) % 127.07/127.33 (step @p49 :rule cong :premises (@p48) :args ((forall @t7 @t66))) % 127.07/127.33 (step @p50 :rule bool-impl-elim :args (@t6 @t4)) % 127.07/127.33 (step @p51 :rule cong :premises (@p50) :args (@t8)) % 127.07/127.33 (step @p52 :rule trans :premises (@p51 @p49)) % 127.07/127.33 (step @p53 :rule refl :args (@t33)) % 127.07/127.33 (step @p54 :rule refl :args (@t10)) % 127.07/127.33 (step @p55 :rule cong :premises (@p54 @p53) :args ((= @t10 @t33))) % 127.07/127.33 (step @p56 :rule symm :premises (@p55)) % 127.07/127.33 (step @p57 :rule eq_resolve :premises (@p54 @p56)) % 127.07/127.33 (step @p58 :rule cong :premises (@p57) :args (@t12)) % 127.07/127.33 (step @p59 :rule refl :args (@t37)) % 127.07/127.33 (step @p60 :rule refl :args (@t14)) % 127.07/127.33 (step @p61 :rule cong :premises (@p60 @p59) :args ((= @t14 @t37))) % 127.07/127.33 (step @p62 :rule symm :premises (@p61)) % 127.07/127.33 (step @p63 :rule eq_resolve :premises (@p60 @p62)) % 127.07/127.33 (step @p64 :rule cong :premises (@p63) :args (@t67)) % 127.07/127.33 (step @p65 :rule nary_cong :premises (@p64 @p41) :args (@t68)) % 127.07/127.33 (step @p66 :rule cong :premises (@p65) :args ((forall @t7 @t68))) % 127.07/127.33 (step @p67 :rule bool-impl-elim :args (@t14 @t4)) % 127.07/127.33 (step @p68 :rule cong :premises (@p67) :args (@t15)) % 127.07/127.33 (step @p69 :rule trans :premises (@p68 @p66)) % 127.07/127.33 (step @p70 :rule nary_cong :premises (@p69 @p58) :args (@t16)) % 127.07/127.33 (step @p71 :rule cong :premises (@p70 @p52) :args (@t17)) % 127.07/127.33 (step @p72 :rule cong :premises (@p71) :args (@t19)) % 127.07/127.33 (step @p73 :rule trans :premises (@p72 @p36)) % 127.07/127.33 (step @p74 :rule refl :args (@t45)) % 127.07/127.33 (step @p75 :rule refl :args (@t20)) % 127.07/127.33 (step @p76 :rule cong :premises (@p75 @p74) :args ((= @t20 @t45))) % 127.07/127.33 (step @p77 :rule symm :premises (@p76)) % 127.07/127.33 (step @p78 :rule eq_resolve :premises (@p75 @p77)) % 127.07/127.33 (step @p79 :rule cong :premises (@p78) :args (@t21)) % 127.07/127.33 (step @p80 :rule nary_cong :premises (@p64 @p46) :args (@t69)) % 127.07/127.33 (step @p81 :rule cong :premises (@p80) :args ((forall @t7 @t69))) % 127.07/127.33 (step @p82 :rule bool-impl-elim :args (@t14 @t6)) % 127.07/127.33 (step @p83 :rule cong :premises (@p82) :args (@t22)) % 127.07/127.33 (step @p84 :rule trans :premises (@p83 @p81)) % 127.07/127.33 (step @p85 :rule nary_cong :premises (@p84 @p79 @p73) :args (@t23)) % 127.07/127.33 (step @p86 :rule cong :premises (@p85) :args (@t25)) % 127.07/127.33 (step @p87 :rule trans :premises (@p86 @p14)) % 127.07/127.33 (step @p88 :rule cong :premises (@p87) :args (@t27)) % 127.07/127.33 (step @p89 :rule cong :premises (@p88) :args (@t28)) % 127.07/127.33 (step @p90 :rule eq_resolve :premises (@p1 @p89)) % 127.07/127.33 (step @p91 :rule refl :args (@t75)) % 127.07/127.33 (step @p92 :rule bool-double-not-elim :args (@t70)) % 127.07/127.33 (step @p93 :rule nary_cong :premises (@p92 @p91) :args ((or (not @t76) @t75))) % 127.07/127.33 (step @p94 :rule bool-double-not-elim :args (@t75)) % 127.07/127.33 (step @p95 :rule refl :args (@t76)) % 127.07/127.33 (step @p96 :rule cong :premises (@p95 @p94) :args ((=> @t76 @t77))) % 127.07/127.33 (assume-push @p195 @t76) % 127.07/127.33 (step @p98 :rule skolemize :premises (@p90)) % 127.07/127.33 (step-pop @p196 :rule scope :premises (@p98)) % 127.07/127.33 (step @p99 :rule process_scope :premises (@p196) :args (@t77)) % 127.07/127.33 (step @p101 :rule eq_resolve :premises (@p99 @p96)) % 127.07/127.33 (step @p102 :rule implies_elim :premises (@p101)) % 127.07/127.33 (step @p103 :rule eq_resolve :premises (@p102 @p93)) % 127.07/127.33 (step @p104 :rule chain_m_resolution :premises (@p103 @p90) :args (@t75 @t78 (@list @t70))) % 127.07/127.33 (step @p105 :rule aci_norm :args ((= (or false false @t82) @t82))) % 127.07/127.33 (step @p106 :rule refl :args (@t31)) % 127.07/127.33 (step @p107 :rule bool-or-de-morgan :args (@t80 @t79 false)) % 127.07/127.33 (step @p108 :rule refl :args (@t74)) % 127.07/127.33 (step @p109 :rule nary_cong :premises (@p108 @p19 @p107 @p106) :args (@t84)) % 127.07/127.33 (step @p110 :rule cong :premises (@p109) :args ((forall @t42 @t84))) % 127.07/127.33 (step @p111 :rule refl :args (@t31)) % 127.07/127.33 (step @p112 :rule beta-reduce :args ((= @t88 @t83))) % 127.07/127.33 (step @p113 :rule cong :premises (@p112) :args (@t89)) % 127.07/127.33 (step @p114 :rule refl :args (@t35)) % 127.07/127.33 (step @p115 :rule refl :args (@t74)) % 127.07/127.33 (step @p116 :rule nary_cong :premises (@p115 @p114 @p113 @p111) :args (@t90)) % 127.07/127.33 (step @p117 :rule cong :premises (@p116) :args (@t91)) % 127.07/127.33 (step @p118 :rule trans :premises (@p117 @p110)) % 127.07/127.33 (step @p119 :rule cong :premises (@p118) :args (@t92)) % 127.07/127.33 (step @p120 :rule evaluate :args ((not true))) % 127.07/127.33 (step @p121 :rule quant-unused-vars :args ((= (forall @t11 true) true))) % 127.07/127.33 (step @p122 :rule absorb :args ((= (or true @t93) true))) % 127.07/127.33 (step @p123 :rule refl :args (@t93)) % 127.07/127.33 (step @p124 :rule eq-refl :args (@t9)) % 127.07/127.33 (step @p125 :rule nary_cong :premises (@p124 @p123) :args (@t94)) % 127.07/127.33 (step @p126 :rule trans :premises (@p125 @p122)) % 127.07/127.33 (step @p127 :rule beta-reduce :args ((= @t95 @t94))) % 127.07/127.33 (step @p128 :rule trans :premises (@p127 @p126)) % 127.07/127.33 (step @p129 :rule cong :premises (@p128) :args (@t96)) % 127.07/127.33 (step @p130 :rule trans :premises (@p129 @p121)) % 127.07/127.33 (step @p131 :rule cong :premises (@p130) :args (@t97)) % 127.07/127.33 (step @p132 :rule trans :premises (@p131 @p120)) % 127.07/127.33 (step @p133 :rule quant-unused-vars :args ((= (forall @t7 true) true))) % 127.07/127.33 (step @p134 :rule bool-or-taut2 :args (false @t72 (or @t98) false)) % 127.07/127.33 (step @p135 :rule cong :premises (@p134) :args ((forall @t7 @t99))) % 127.07/127.33 (step @p136 :rule trans :premises (@p135 @p133)) % 127.07/127.34 (step @p137 :rule aci_norm :args ((= (or @t73 @t100) @t99))) % 127.07/127.34 (step @p138 :rule beta-reduce :args ((= @t101 @t100))) % 127.07/127.34 (step @p139 :rule refl :args (@t73)) % 127.07/127.34 (step @p140 :rule nary_cong :premises (@p139 @p138) :args (@t102)) % 127.07/127.34 (step @p141 :rule trans :premises (@p140 @p137)) % 127.07/127.34 (step @p142 :rule cong :premises (@p141) :args (@t103)) % 127.07/127.34 (step @p143 :rule trans :premises (@p142 @p136)) % 127.07/127.34 (step @p144 :rule cong :premises (@p143) :args (@t104)) % 127.07/127.34 (step @p145 :rule trans :premises (@p144 @p120)) % 127.07/127.34 (step @p146 :rule nary_cong :premises (@p145 @p132 @p119) :args (@t105)) % 127.07/127.34 (step @p147 :rule trans :premises (@p146 @p105)) % 127.07/127.34 (step @p148 :rule cong :premises (@p91 @p147) :args ((=> @t75 @t105))) % 127.07/127.34 (assume-push @p197 @t75) % 127.07/127.34 (step @p150 :rule instantiate :premises (@p104) :args ((@list @t87))) % 127.07/127.34 (step-pop @p198 :rule scope :premises (@p150)) % 127.07/127.34 (step @p151 :rule process_scope :premises (@p198) :args (@t105)) % 127.07/127.34 (step @p153 :rule eq_resolve :premises (@p151 @p148)) % 127.07/127.34 (step @p154 :rule implies_elim :premises (@p153)) % 127.07/127.34 (step @p155 :rule chain_m_resolution :premises (@p154 @p104) :args (@t82 (@list false) (@list @t75))) % 127.07/127.34 (step @p156 :rule skolemize :premises (@p155)) % 127.07/127.34 (step @p157 :rule bool-double-not-elim :args (@t107)) % 127.07/127.34 (step @p158 :rule refl :args (@t119)) % 127.07/127.34 (step @p159 :rule nary_cong :premises (@p158 @p157) :args ((or @t119 (not @t116)))) % 127.07/127.34 (step @p160 :rule cnf_or_neg :args (@t119 1)) % 127.07/127.34 (step @p161 :rule eq_resolve :premises (@p160 @p159)) % 127.07/127.34 (step @p162 :rule reordering :premises (@p161) :args ((or @t107 @t119))) % 127.07/127.34 (step @p163 :rule chain_m_resolution :premises (@p162 @p156) :args (@t107 @t78 @t120)) % 127.07/127.34 (step @p164 :rule instantiate :premises (@p163) :args ((@list @t109))) % 127.07/127.34 (step @p165 :rule true_intro :premises (@p164)) % 127.07/127.34 (step @p166 :rule cnf_or_neg :args (@t119 2)) % 127.07/127.34 (step @p167 :rule chain_m_resolution :premises (@p166 @p156) :args ((not @t115) @t78 @t120)) % 127.07/127.34 (step @p168 :rule bool-double-not-elim :args (@t117)) % 127.07/127.34 (step @p169 :rule nary_cong :premises (@p158 @p168) :args ((or @t119 (not @t118)))) % 127.07/127.34 (step @p170 :rule cnf_or_neg :args (@t119 0)) % 127.07/127.34 (step @p171 :rule eq_resolve :premises (@p170 @p169)) % 127.07/127.34 (step @p172 :rule reordering :premises (@p171) :args ((or @t117 @t119))) % 127.07/127.34 (step @p173 :rule chain_m_resolution :premises (@p172 @p156) :args (@t117 @t78 @t120)) % 127.07/127.34 (step @p174 :rule instantiate :premises (@p173) :args ((@list @t109 @t108))) % 127.07/127.34 (step @p175 :rule cnf_or_neg :args (@t119 3)) % 127.07/127.34 (step @p176 :rule chain_m_resolution :premises (@p175 @p156) :args ((not @t110) @t78 @t120)) % 127.07/127.34 (step @p177 :rule cnf_or_pos :args (@t121)) % 127.07/127.34 (step @p178 :rule reordering :premises (@p177) :args ((or @t112 @t110 (not @t121)))) % 127.07/127.34 (step @p179 :rule chain_m_resolution :premises (@p178 @p176 @p174) :args (@t112 (@list true false) (@list @t110 @t121))) % 127.07/127.34 (step @p180 :rule bool-double-not-elim :args (@t111)) % 127.07/127.34 (step @p181 :rule bool-double-not-elim :args (@t113)) % 127.07/127.34 (step @p182 :rule refl :args (@t115)) % 127.07/127.34 (step @p183 :rule nary_cong :premises (@p182 @p181 @p180) :args ((or @t115 (not @t114) (not @t112)))) % 127.07/127.34 (step @p184 :rule cnf_and_neg :args (@t115)) % 127.07/127.34 (step @p185 :rule eq_resolve :premises (@p184 @p183)) % 127.07/127.34 (step @p186 :rule reordering :premises (@p185) :args ((or @t113 @t111 @t115))) % 127.07/127.34 (step @p187 :rule chain_m_resolution :premises (@p186 @p179 @p167) :args (@t113 (@list true true) (@list @t111 @t115))) % 127.07/127.34 (step @p188 :rule symm :premises (@p187)) % 127.07/127.34 (step @p189 :rule refl :args (@t109)) % 127.07/127.34 (step @p190 :rule cong :premises (@p189 @p188) :args (@t110)) % 127.07/127.34 (step @p191 :rule false_intro :premises (@p176)) % 127.07/127.34 (step @p192 :rule symm :premises (@p191)) % 127.07/127.34 (step @p193 :rule trans :premises (@p192 @p190 @p165)) % 127.07/127.34 (step @p194 false :rule eq_resolve :premises (@p193 @p3)) % 127.07/127.34 ) % 127.07/127.34 % SZS output end Proof % 127.07/127.34 % cvc5 exiting %------------------------------------------------------------------------------