%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU932^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n020.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 08:53:33 AM UTC 2026 % Result : Theorem 0.36s 0.60s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU932^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n020.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 18:00:55 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.48 %----Proving TH0 % 0.36/0.60 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.60 % SZS status Theorem % 0.36/0.60 % SZS output start Proof % 0.36/0.60 ( % 0.36/0.60 (declare-sort $$unsorted 0) % 0.36/0.60 (define @t1 () (@var "Xy" $$unsorted)) % 0.36/0.60 (define @t2 () (@var "Xf" (-> $$unsorted $$unsorted))) % 0.36/0.60 (define @t3 () (_ @t2 @t1)) % 0.36/0.60 (define @t4 () (@list @t1)) % 0.36/0.60 (define @t5 () (exists @t4 (= @t3 @t1))) % 0.36/0.60 (define @t6 () (@var "Xx" $$unsorted)) % 0.36/0.60 (define @t7 () (@var "Xz" $$unsorted)) % 0.36/0.60 (define @t8 () (@var "Xg" (-> $$unsorted $$unsorted))) % 0.36/0.60 (define @t9 () (_ @t8 @t7)) % 0.36/0.60 (define @t10 () (=> (= @t9 @t7) (= @t7 @t6))) % 0.36/0.60 (define @t11 () (@list @t7)) % 0.36/0.60 (define @t12 () (forall @t11 @t10)) % 0.36/0.60 (define @t13 () (_ @t8 @t6)) % 0.36/0.60 (define @t14 () (and (= @t13 @t6) @t12)) % 0.36/0.60 (define @t15 () (@list @t6)) % 0.36/0.60 (define @t16 () (exists @t15 @t14)) % 0.36/0.60 (define @t17 () (_ @t2 @t6)) % 0.36/0.60 (define @t18 () (_ @t8 @t17)) % 0.36/0.60 (define @t19 () (lambda @t15 @t18)) % 0.36/0.60 (define @t20 () (_ @t2 @t13)) % 0.36/0.60 (define @t21 () (lambda @t15 @t20)) % 0.36/0.60 (define @t22 () (= @t21 @t19)) % 0.36/0.60 (define @t23 () (and @t22 @t16)) % 0.36/0.60 (define @t24 () (@list @t8)) % 0.36/0.60 (define @t25 () (exists @t24 @t23)) % 0.36/0.60 (define @t26 () (=> @t25 @t5)) % 0.36/0.60 (define @t27 () (@list @t2)) % 0.36/0.60 (define @t28 () (forall @t27 @t26)) % 0.36/0.60 (define @t29 () (not @t28)) % 0.36/0.60 (define @t30 () (@var "BOUND_VARIABLE_7524" $$unsorted)) % 0.36/0.60 (define @t31 () (@var "BOUND_VARIABLE_7522" (-> $$unsorted $$unsorted))) % 0.36/0.60 (define @t32 () (not (forall @t11 (or (not (= @t7 (_ @t31 @t7))) (= @t7 @t30))))) % 0.36/0.60 (define @t33 () (not (= @t30 (_ @t31 @t30)))) % 0.36/0.60 (define @t34 () (_ @t2 @t6)) % 0.36/0.60 (define @t35 () (not (= (lambda @t15 (_ @t2 (_ @t31 @t6))) (lambda @t15 (_ @t31 @t34))))) % 0.36/0.60 (define @t36 () (_ @t2 @t1)) % 0.36/0.60 (define @t37 () (not (forall @t4 (not (= @t1 @t36))))) % 0.36/0.60 (define @t38 () (or @t37 @t35 @t33 @t32)) % 0.36/0.60 (define @t39 () (or @t35 @t33 @t32)) % 0.36/0.60 (define @t40 () (or @t39 @t37)) % 0.36/0.60 (define @t41 () (@list @t2 @t31 @t30)) % 0.36/0.60 (define @t42 () (forall @t41 @t40)) % 0.36/0.60 (define @t43 () (@list @t31 @t30)) % 0.36/0.60 (define @t44 () (forall @t43 @t40)) % 0.36/0.60 (define @t45 () (forall @t43 @t39)) % 0.36/0.60 (define @t46 () (@var "BOUND_VARIABLE_7487" $$unsorted)) % 0.36/0.60 (define @t47 () (or @t45 @t37)) % 0.36/0.60 (define @t48 () (_ @t8 @t7)) % 0.36/0.60 (define @t49 () (not (= @t7 @t48))) % 0.36/0.60 (define @t50 () (not (= @t46 (_ @t8 @t46)))) % 0.36/0.60 (define @t51 () (_ @t8 @t34)) % 0.36/0.60 (define @t52 () (_ @t8 @t6)) % 0.36/0.60 (define @t53 () (_ @t2 @t52)) % 0.36/0.60 (define @t54 () (not (= (lambda @t15 @t53) (lambda @t15 @t51)))) % 0.36/0.60 (define @t55 () (@list @t8 @t46)) % 0.36/0.60 (define @t56 () (forall @t55 (or @t54 @t50 (not (forall @t11 (or @t49 (= @t7 @t46))))))) % 0.36/0.60 (define @t57 () (not @t56)) % 0.36/0.60 (define @t58 () (= @t1 @t3)) % 0.36/0.60 (define @t59 () (not @t58)) % 0.36/0.60 (define @t60 () (forall @t4 @t59)) % 0.36/0.60 (define @t61 () (not @t60)) % 0.36/0.60 (define @t62 () (or @t49 (= @t46 @t7))) % 0.36/0.60 (define @t63 () (forall @t11 @t62)) % 0.36/0.60 (define @t64 () (not @t63)) % 0.36/0.60 (define @t65 () (or @t54 @t50 @t64)) % 0.36/0.60 (define @t66 () (or @t50 @t64)) % 0.36/0.60 (define @t67 () (or @t54 @t66)) % 0.36/0.60 (define @t68 () (forall @t55 @t67)) % 0.36/0.60 (define @t69 () (@list @t46)) % 0.36/0.60 (define @t70 () (forall @t69 @t67)) % 0.36/0.60 (define @t71 () (forall @t69 @t66)) % 0.36/0.60 (define @t72 () (or @t54 @t71)) % 0.36/0.60 (define @t73 () (= @t6 @t7)) % 0.36/0.60 (define @t74 () (forall @t11 (or @t49 @t73))) % 0.36/0.60 (define @t75 () (not @t74)) % 0.36/0.60 (define @t76 () (forall @t15 (or (not (= @t6 @t52)) @t75))) % 0.36/0.60 (define @t77 () (not @t22)) % 0.36/0.60 (define @t78 () (or @t77 @t76)) % 0.36/0.60 (define @t79 () (not @t76)) % 0.36/0.60 (define @t80 () (and @t22 @t79)) % 0.36/0.60 (define @t81 () (forall @t24 (not @t80))) % 0.36/0.60 (define @t82 () (not @t81)) % 0.36/0.60 (define @t83 () (= @t6 @t13)) % 0.36/0.60 (define @t84 () (not @t83)) % 0.36/0.60 (define @t85 () (or @t84 @t75)) % 0.36/0.60 (define @t86 () (and @t83 @t74)) % 0.36/0.60 (define @t87 () (forall @t15 (not @t86))) % 0.36/0.60 (define @t88 () (not @t87)) % 0.36/0.60 (define @t89 () (= @t7 @t9)) % 0.36/0.60 (define @t90 () (not @t89)) % 0.36/0.60 (define @t91 () (or @t90 @t73)) % 0.36/0.60 (define @t92 () (forall @t41 @t38)) % 0.36/0.60 (define @t93 () (@quantifiers_skolemize @t92 2)) % 0.36/0.60 (define @t94 () (@quantifiers_skolemize @t92 1)) % 0.36/0.60 (define @t95 () (forall @t11 (or (not (= @t7 (_ @t94 @t7))) (= @t7 @t93)))) % 0.36/0.60 (define @t96 () (not @t95)) % 0.36/0.60 (define @t97 () (_ @t94 @t93)) % 0.36/0.60 (define @t98 () (= @t93 @t97)) % 0.36/0.60 (define @t99 () (not @t98)) % 0.36/0.60 (define @t100 () (@quantifiers_skolemize @t92 0)) % 0.36/0.60 (define @t101 () (_ @t100 (_ @t94 @t6))) % 0.36/0.60 (define @t102 () (lambda @t15 @t101)) % 0.36/0.60 (define @t103 () (@purify @t102)) % 0.36/0.60 (define @t104 () (_ @t94 (_ @t100 @t6))) % 0.36/0.60 (define @t105 () (lambda @t15 @t104)) % 0.36/0.60 (define @t106 () (@purify @t105)) % 0.36/0.60 (define @t107 () (= @t106 @t103)) % 0.36/0.60 (define @t108 () (not @t107)) % 0.36/0.60 (define @t109 () (forall @t4 (not (= @t1 (_ @t100 @t1))))) % 0.36/0.60 (define @t110 () (not @t109)) % 0.36/0.60 (define @t111 () (or @t110 @t108 @t99 @t96)) % 0.36/0.60 (define @t112 () (not @t111)) % 0.36/0.60 (define @t113 () (not @t92)) % 0.36/0.60 (define @t114 () (= @t102 @t105)) % 0.36/0.60 (define @t115 () (not @t114)) % 0.36/0.60 (define @t116 () (or @t110 @t115 @t99 @t96)) % 0.36/0.60 (define @t117 () (not @t116)) % 0.36/0.60 (define @t118 () (@list true)) % 0.36/0.60 (define @t119 () (@list @t111)) % 0.36/0.60 (define @t120 () (forall @t15 (= @t104 @t101))) % 0.36/0.60 (define @t121 () (=> @t107 @t120)) % 0.36/0.60 (define @t122 () (_ @t100 @t93)) % 0.36/0.60 (define @t123 () (_ @t94 @t122)) % 0.36/0.60 (define @t124 () (= @t93 @t123)) % 0.36/0.60 (define @t125 () (= @t123 (_ @t94 @t123))) % 0.36/0.60 (define @t126 () (not @t125)) % 0.36/0.60 (define @t127 () (or @t126 @t124)) % 0.36/0.60 (define @t128 () (not @t127)) % 0.36/0.60 (define @t129 () (or @t126 (= @t123 @t93))) % 0.36/0.60 (assume @p1 @t29) % 0.36/0.60 (assume @p2 true) % 0.36/0.60 (step @p3 :rule aci_norm :args ((= @t40 @t38))) % 0.36/0.60 (step @p4 :rule cong :premises (@p3) :args (@t42)) % 0.36/0.60 (step @p5 :rule quant-merge-prenex :args ((= (forall @t27 @t44) @t42))) % 0.36/0.60 (step @p6 :rule refl :args (@t37)) % 0.36/0.60 (step @p7 :rule alpha_equiv :args (@t45 (@list @t31 @t30) (@list @t8 @t46))) % 0.36/0.60 (step @p8 :rule nary_cong :premises (@p7 @p6) :args (@t47)) % 0.36/0.60 (step @p9 :rule quant-miniscope-or :args ((= @t44 @t47))) % 0.36/0.60 (step @p10 :rule trans :premises (@p9 @p8)) % 0.36/0.60 (step @p11 :rule symm :premises (@p10)) % 0.36/0.60 (step @p12 :rule cong :premises (@p11) :args ((forall @t27 (or @t56 @t37)))) % 0.36/0.60 (step @p13 :rule trans :premises (@p12 @p5)) % 0.36/0.60 (step @p14 :rule trans :premises (@p13 @p4)) % 0.36/0.60 (step @p15 :rule bool-double-not-elim :args (@t56)) % 0.36/0.60 (step @p16 :rule nary_cong :premises (@p15 @p6) :args ((or (not @t57) @t37))) % 0.36/0.60 (step @p17 :rule bool-impl-elim :args (@t57 @t37)) % 0.36/0.60 (step @p18 :rule trans :premises (@p17 @p16)) % 0.36/0.60 (step @p19 :rule cong :premises (@p18) :args ((forall @t27 (=> @t57 @t37)))) % 0.36/0.60 (step @p20 :rule trans :premises (@p19 @p14)) % 0.36/0.60 (step @p21 :rule refl :args (@t36)) % 0.36/0.60 (step @p22 :rule refl :args (@t3)) % 0.36/0.60 (step @p23 :rule cong :premises (@p22 @p21) :args ((= @t3 @t36))) % 0.36/0.60 (step @p24 :rule symm :premises (@p23)) % 0.36/0.60 (step @p25 :rule eq_resolve :premises (@p22 @p24)) % 0.36/0.60 (step @p26 :rule refl :args (@t1)) % 0.36/0.60 (step @p27 :rule cong :premises (@p26 @p25) :args (@t58)) % 0.36/0.60 (step @p28 :rule cong :premises (@p27) :args (@t59)) % 0.36/0.60 (step @p29 :rule cong :premises (@p28) :args (@t60)) % 0.36/0.60 (step @p30 :rule cong :premises (@p29) :args (@t61)) % 0.36/0.60 (step @p31 :rule exists-elim :args ((= (exists @t4 @t58) @t61))) % 0.36/0.60 (step @p32 :rule trans :premises (@p31 @p30)) % 0.36/0.60 (step @p33 :rule eq-symm :args (@t3 @t1)) % 0.36/0.60 (step @p34 :rule cong :premises (@p33) :args (@t5)) % 0.36/0.60 (step @p35 :rule trans :premises (@p34 @p32)) % 0.36/0.60 (step @p36 :rule eq-symm :args (@t46 @t7)) % 0.36/0.60 (step @p37 :rule refl :args (@t49)) % 0.36/0.60 (step @p38 :rule nary_cong :premises (@p37 @p36) :args (@t62)) % 0.36/0.60 (step @p39 :rule cong :premises (@p38) :args (@t63)) % 0.36/0.60 (step @p40 :rule cong :premises (@p39) :args (@t64)) % 0.36/0.60 (step @p41 :rule refl :args (@t50)) % 0.36/0.60 (step @p42 :rule refl :args (@t54)) % 0.36/0.60 (step @p43 :rule nary_cong :premises (@p42 @p41 @p40) :args (@t65)) % 0.36/0.60 (step @p44 :rule aci_norm :args ((= @t67 @t65))) % 0.36/0.60 (step @p45 :rule trans :premises (@p44 @p43)) % 0.36/0.60 (step @p46 :rule cong :premises (@p45) :args (@t68)) % 0.36/0.60 (step @p47 :rule quant-merge-prenex :args ((= (forall @t24 @t70) @t68))) % 0.36/0.60 (step @p48 :rule alpha_equiv :args (@t71 (@list @t46) (@list @t6))) % 0.36/0.60 (step @p49 :rule refl :args (@t54)) % 0.36/0.60 (step @p50 :rule nary_cong :premises (@p49 @p48) :args (@t72)) % 0.36/0.60 (step @p51 :rule quant-miniscope-or :args ((= @t70 @t72))) % 0.36/0.60 (step @p52 :rule trans :premises (@p51 @p50)) % 0.36/0.60 (step @p53 :rule symm :premises (@p52)) % 0.36/0.60 (step @p54 :rule cong :premises (@p53) :args ((forall @t24 (or @t54 @t76)))) % 0.36/0.60 (step @p55 :rule trans :premises (@p54 @p47)) % 0.36/0.60 (step @p56 :rule trans :premises (@p55 @p46)) % 0.36/0.60 (step @p57 :rule refl :args (@t76)) % 0.36/0.60 (step @p58 :rule refl :args ((_ @t8 @t17))) % 0.36/0.60 (step @p59 :rule refl :args (@t34)) % 0.36/0.60 (step @p60 :rule cong :premises (@p59) :args (@t51)) % 0.36/0.60 (step @p61 :rule trans :premises (@p60 @p58)) % 0.36/0.60 (step @p62 :rule refl :args (@t8)) % 0.36/0.60 (step @p63 :rule ho_cong :premises (@p62 @p59)) % 0.36/0.60 (step @p64 :rule cong :premises (@p63 @p61) :args ((= (_ @t8 @t34) @t51))) % 0.36/0.60 (step @p65 :rule symm :premises (@p64)) % 0.36/0.60 (step @p66 :rule refl :args (@t18)) % 0.36/0.60 (step @p67 :rule eq_resolve :premises (@p66 @p65)) % 0.36/0.60 (step @p68 :rule refl :args (@t17)) % 0.36/0.60 (step @p69 :rule cong :premises (@p68 @p59) :args ((= @t17 @t34))) % 0.36/0.60 (step @p70 :rule symm :premises (@p69)) % 0.36/0.60 (step @p71 :rule eq_resolve :premises (@p68 @p70)) % 0.36/0.60 (step @p72 :rule ho_cong :premises (@p62 @p71)) % 0.36/0.60 (step @p73 :rule trans :premises (@p72 @p67)) % 0.36/0.60 (step @p74 :rule cong :premises (@p73) :args (@t19)) % 0.36/0.60 (step @p75 :rule refl :args ((_ @t2 @t13))) % 0.36/0.60 (step @p76 :rule refl :args (@t52)) % 0.36/0.60 (step @p77 :rule cong :premises (@p76) :args (@t53)) % 0.36/0.60 (step @p78 :rule trans :premises (@p77 @p75)) % 0.36/0.60 (step @p79 :rule refl :args (@t2)) % 0.36/0.60 (step @p80 :rule ho_cong :premises (@p79 @p76)) % 0.36/0.60 (step @p81 :rule cong :premises (@p80 @p78) :args ((= (_ @t2 @t52) @t53))) % 0.36/0.60 (step @p82 :rule symm :premises (@p81)) % 0.36/0.60 (step @p83 :rule refl :args (@t20)) % 0.36/0.60 (step @p84 :rule eq_resolve :premises (@p83 @p82)) % 0.36/0.60 (step @p85 :rule refl :args (@t13)) % 0.36/0.60 (step @p86 :rule cong :premises (@p85 @p76) :args ((= @t13 @t52))) % 0.36/0.60 (step @p87 :rule symm :premises (@p86)) % 0.36/0.60 (step @p88 :rule eq_resolve :premises (@p85 @p87)) % 0.36/0.60 (step @p89 :rule ho_cong :premises (@p79 @p88)) % 0.36/0.60 (step @p90 :rule trans :premises (@p89 @p84)) % 0.36/0.60 (step @p91 :rule cong :premises (@p90) :args (@t21)) % 0.36/0.60 (step @p92 :rule cong :premises (@p91 @p74) :args (@t22)) % 0.36/0.60 (step @p93 :rule cong :premises (@p92) :args (@t77)) % 0.36/0.60 (step @p94 :rule nary_cong :premises (@p93 @p57) :args (@t78)) % 0.36/0.60 (step @p95 :rule cong :premises (@p94) :args ((forall @t24 @t78))) % 0.36/0.60 (step @p96 :rule trans :premises (@p95 @p56)) % 0.36/0.60 (step @p97 :rule bool-double-not-elim :args (@t76)) % 0.36/0.60 (step @p98 :rule refl :args (@t77)) % 0.36/0.60 (step @p99 :rule nary_cong :premises (@p98 @p97) :args ((or @t77 (not @t79)))) % 0.36/0.60 (step @p100 :rule bool-and-de-morgan :args (@t22 @t79 true)) % 0.36/0.60 (step @p101 :rule trans :premises (@p100 @p99)) % 0.36/0.60 (step @p102 :rule cong :premises (@p101) :args (@t81)) % 0.36/0.60 (step @p103 :rule trans :premises (@p102 @p96)) % 0.36/0.60 (step @p104 :rule cong :premises (@p103) :args (@t82)) % 0.36/0.60 (step @p105 :rule exists-elim :args ((= (exists @t24 @t80) @t82))) % 0.36/0.60 (step @p106 :rule trans :premises (@p105 @p104)) % 0.36/0.60 (step @p107 :rule refl :args (@t75)) % 0.36/0.60 (step @p108 :rule refl :args (@t6)) % 0.36/0.60 (step @p109 :rule cong :premises (@p108 @p88) :args (@t83)) % 0.36/0.60 (step @p110 :rule cong :premises (@p109) :args (@t84)) % 0.36/0.60 (step @p111 :rule nary_cong :premises (@p110 @p107) :args (@t85)) % 0.36/0.60 (step @p112 :rule cong :premises (@p111) :args ((forall @t15 @t85))) % 0.36/0.60 (step @p113 :rule bool-and-de-morgan :args (@t83 @t74 true)) % 0.36/0.60 (step @p114 :rule cong :premises (@p113) :args (@t87)) % 0.36/0.60 (step @p115 :rule trans :premises (@p114 @p112)) % 0.36/0.60 (step @p116 :rule cong :premises (@p115) :args (@t88)) % 0.36/0.60 (step @p117 :rule exists-elim :args ((= (exists @t15 @t86) @t88))) % 0.36/0.60 (step @p118 :rule trans :premises (@p117 @p116)) % 0.36/0.60 (step @p119 :rule refl :args (@t73)) % 0.36/0.60 (step @p120 :rule refl :args (@t48)) % 0.36/0.60 (step @p121 :rule refl :args (@t9)) % 0.36/0.60 (step @p122 :rule cong :premises (@p121 @p120) :args ((= @t9 @t48))) % 0.36/0.60 (step @p123 :rule symm :premises (@p122)) % 0.36/0.60 (step @p124 :rule eq_resolve :premises (@p121 @p123)) % 0.36/0.60 (step @p125 :rule refl :args (@t7)) % 0.36/0.60 (step @p126 :rule cong :premises (@p125 @p124) :args (@t89)) % 0.36/0.60 (step @p127 :rule cong :premises (@p126) :args (@t90)) % 0.36/0.60 (step @p128 :rule nary_cong :premises (@p127 @p119) :args (@t91)) % 0.36/0.60 (step @p129 :rule cong :premises (@p128) :args ((forall @t11 @t91))) % 0.36/0.60 (step @p130 :rule bool-impl-elim :args (@t89 @t73)) % 0.36/0.60 (step @p131 :rule cong :premises (@p130) :args ((forall @t11 (=> @t89 @t73)))) % 0.36/0.60 (step @p132 :rule trans :premises (@p131 @p129)) % 0.36/0.60 (step @p133 :rule eq-symm :args (@t7 @t6)) % 0.36/0.60 (step @p134 :rule eq-symm :args (@t9 @t7)) % 0.36/0.60 (step @p135 :rule cong :premises (@p134 @p133) :args (@t10)) % 0.36/0.60 (step @p136 :rule cong :premises (@p135) :args (@t12)) % 0.36/0.60 (step @p137 :rule trans :premises (@p136 @p132)) % 0.36/0.60 (step @p138 :rule eq-symm :args (@t13 @t6)) % 0.36/0.60 (step @p139 :rule nary_cong :premises (@p138 @p137) :args (@t14)) % 0.36/0.60 (step @p140 :rule cong :premises (@p139) :args (@t16)) % 0.36/0.60 (step @p141 :rule trans :premises (@p140 @p118)) % 0.36/0.60 (step @p142 :rule refl :args (@t22)) % 0.36/0.60 (step @p143 :rule nary_cong :premises (@p142 @p141) :args (@t23)) % 0.36/0.60 (step @p144 :rule cong :premises (@p143) :args (@t25)) % 0.36/0.60 (step @p145 :rule trans :premises (@p144 @p106)) % 0.36/0.60 (step @p146 :rule cong :premises (@p145 @p35) :args (@t26)) % 0.36/0.60 (step @p147 :rule cong :premises (@p146) :args (@t28)) % 0.36/0.60 (step @p148 :rule trans :premises (@p147 @p20)) % 0.36/0.60 (step @p149 :rule cong :premises (@p148) :args (@t29)) % 0.36/0.60 (step @p150 :rule eq_resolve :premises (@p1 @p149)) % 0.36/0.60 (step @p151 :rule refl :args (@t112)) % 0.36/0.60 (step @p152 :rule bool-double-not-elim :args (@t92)) % 0.36/0.60 (step @p153 :rule nary_cong :premises (@p152 @p151) :args ((or (not @t113) @t112))) % 0.36/0.60 (step @p154 :rule refl :args (@t96)) % 0.36/0.60 (step @p155 :rule refl :args (@t99)) % 0.36/0.60 (step @p156 :rule eq-symm :args (@t103 @t106)) % 0.36/0.60 (step @p157 :rule eq-refl :args (@t105)) % 0.36/0.60 (step @p158 :rule skolem_intro :args (@t106)) % 0.36/0.60 (step @p159 :rule refl :args (@t105)) % 0.36/0.60 (step @p160 :rule cong :premises (@p159 @p158) :args ((= @t105 @t106))) % 0.36/0.60 (step @p161 :rule trans :premises (@p160 @p157)) % 0.36/0.60 (step @p162 :rule true_elim :premises (@p161)) % 0.36/0.60 (step @p163 :rule eq-refl :args (@t102)) % 0.36/0.60 (step @p164 :rule skolem_intro :args (@t103)) % 0.36/0.60 (step @p165 :rule refl :args (@t102)) % 0.36/0.60 (step @p166 :rule cong :premises (@p165 @p164) :args ((= @t102 @t103))) % 0.36/0.60 (step @p167 :rule trans :premises (@p166 @p163)) % 0.36/0.60 (step @p168 :rule true_elim :premises (@p167)) % 0.36/0.60 (step @p169 :rule cong :premises (@p168 @p162) :args (@t114)) % 0.36/0.60 (step @p170 :rule trans :premises (@p169 @p156)) % 0.36/0.60 (step @p171 :rule cong :premises (@p170) :args (@t115)) % 0.36/0.60 (step @p172 :rule refl :args (@t110)) % 0.36/0.60 (step @p173 :rule nary_cong :premises (@p172 @p171 @p155 @p154) :args (@t116)) % 0.36/0.60 (step @p174 :rule cong :premises (@p173) :args (@t117)) % 0.36/0.60 (step @p175 :rule refl :args (@t113)) % 0.36/0.60 (step @p176 :rule cong :premises (@p175 @p174) :args ((=> @t113 @t117))) % 0.36/0.60 (assume-push @p243 @t113) % 0.36/0.60 (step @p178 :rule skolemize :premises (@p150)) % 0.36/0.60 (step-pop @p244 :rule scope :premises (@p178)) % 0.36/0.60 (step @p179 :rule process_scope :premises (@p244) :args (@t117)) % 0.36/0.60 (step @p181 :rule eq_resolve :premises (@p179 @p176)) % 0.36/0.60 (step @p182 :rule implies_elim :premises (@p181)) % 0.36/0.60 (step @p183 :rule eq_resolve :premises (@p182 @p153)) % 0.36/0.60 (step @p184 :rule chain_m_resolution :premises (@p183 @p150) :args (@t112 @t118 (@list @t92))) % 0.36/0.60 (step @p185 :rule bool-double-not-elim :args (@t95)) % 0.36/0.60 (step @p186 :rule refl :args (@t111)) % 0.36/0.60 (step @p187 :rule nary_cong :premises (@p186 @p185) :args ((or @t111 (not @t96)))) % 0.36/0.60 (step @p188 :rule cnf_or_neg :args (@t111 3)) % 0.36/0.60 (step @p189 :rule eq_resolve :premises (@p188 @p187)) % 0.36/0.60 (step @p190 :rule reordering :premises (@p189) :args ((or @t95 @t111))) % 0.36/0.60 (step @p191 :rule chain_m_resolution :premises (@p190 @p184) :args (@t95 @t118 @t119)) % 0.36/0.60 (step @p192 :rule bool-double-not-elim :args (@t109)) % 0.36/0.60 (step @p193 :rule nary_cong :premises (@p186 @p192) :args ((or @t111 (not @t110)))) % 0.36/0.60 (step @p194 :rule cnf_or_neg :args (@t111 0)) % 0.36/0.60 (step @p195 :rule eq_resolve :premises (@p194 @p193)) % 0.36/0.60 (step @p196 :rule reordering :premises (@p195) :args ((or @t109 @t111))) % 0.36/0.60 (step @p197 :rule chain_m_resolution :premises (@p196 @p184) :args (@t109 @t118 @t119)) % 0.36/0.60 (step @p198 :rule instantiate :premises (@p197) :args ((@list @t97))) % 0.36/0.60 (step @p199 :rule false_intro :premises (@p198)) % 0.36/0.60 (step @p200 :rule bool-double-not-elim :args (@t107)) % 0.36/0.60 (step @p201 :rule nary_cong :premises (@p186 @p200) :args ((or @t111 (not @t108)))) % 0.36/0.60 (step @p202 :rule cnf_or_neg :args (@t111 1)) % 0.36/0.60 (step @p203 :rule eq_resolve :premises (@p202 @p201)) % 0.36/0.60 (step @p204 :rule reordering :premises (@p203) :args ((or @t107 @t111))) % 0.36/0.60 (step @p205 :rule chain_m_resolution :premises (@p204 @p184) :args (@t107 @t118 @t119)) % 0.36/0.60 (step @p206 :rule eq-symm :args (@t104 @t101)) % 0.36/0.60 (step @p207 :rule cong :premises (@p206) :args (@t120)) % 0.36/0.60 (step @p208 :rule refl :args (@t107)) % 0.36/0.60 (step @p209 :rule cong :premises (@p208 @p207) :args (@t121)) % 0.36/0.60 ; WARNING: add trust step for TRUST % 0.36/0.60 ; trust TRUST THEORY_LEMMA % 0.36/0.60 (step @p210 :rule trust :premises () :args (@t121)) % 0.36/0.60 (step @p211 :rule eq_resolve :premises (@p210 @p209)) % 0.36/0.60 (step @p212 :rule implies_elim :premises (@p211)) % 0.36/0.60 (step @p213 :rule chain_m_resolution :premises (@p212 @p205) :args ((forall @t15 (= @t101 @t104)) (@list false) (@list @t107))) % 0.36/0.61 (step @p214 :rule instantiate :premises (@p213) :args ((@list @t93))) % 0.36/0.61 (step @p215 :rule symm :premises (@p214)) % 0.36/0.61 (step @p216 :rule bool-double-not-elim :args (@t98)) % 0.36/0.61 (step @p217 :rule nary_cong :premises (@p186 @p216) :args ((or @t111 (not @t99)))) % 0.36/0.61 (step @p218 :rule cnf_or_neg :args (@t111 2)) % 0.36/0.61 (step @p219 :rule eq_resolve :premises (@p218 @p217)) % 0.36/0.61 (step @p220 :rule reordering :premises (@p219) :args ((or @t98 @t111))) % 0.36/0.61 (step @p221 :rule chain_m_resolution :premises (@p220 @p184) :args (@t98 @t118 @t119)) % 0.36/0.61 (step @p222 :rule cong :premises (@p221 @p215) :args (@t124)) % 0.36/0.61 (step @p223 :rule trans :premises (@p222 @p199)) % 0.36/0.61 (step @p224 :rule false_elim :premises (@p223)) % 0.36/0.61 (step @p225 :rule cong :premises (@p221) :args (@t122)) % 0.36/0.61 (step @p226 :rule trans :premises (@p225 @p214)) % 0.36/0.61 (step @p227 :rule cong :premises (@p226) :args (@t123)) % 0.36/0.61 (step @p228 :rule cnf_or_pos :args (@t127)) % 0.36/0.61 (step @p229 :rule reordering :premises (@p228) :args ((or @t126 @t124 @t128))) % 0.36/0.61 (step @p230 :rule chain_m_resolution :premises (@p229 @p227 @p224) :args (@t128 (@list false true) (@list @t125 @t124))) % 0.36/0.61 (step @p231 :rule eq-symm :args (@t123 @t93)) % 0.36/0.61 (step @p232 :rule refl :args (@t126)) % 0.36/0.61 (step @p233 :rule nary_cong :premises (@p232 @p231) :args (@t129)) % 0.36/0.61 (step @p234 :rule refl :args (@t95)) % 0.36/0.61 (step @p235 :rule cong :premises (@p234 @p233) :args ((=> @t95 @t129))) % 0.36/0.61 (assume-push @p245 @t95) % 0.36/0.61 (step @p237 :rule instantiate :premises (@p191) :args ((@list @t123))) % 0.36/0.61 (step-pop @p246 :rule scope :premises (@p237)) % 0.36/0.61 (step @p238 :rule process_scope :premises (@p246) :args (@t129)) % 0.36/0.61 (step @p240 :rule eq_resolve :premises (@p238 @p235)) % 0.36/0.61 (step @p241 :rule implies_elim :premises (@p240)) % 0.36/0.61 (step @p242 false :rule chain_m_resolution :premises (@p241 @p230 @p191) :args (false (@list true false) (@list @t127 @t95))) % 0.36/0.61 ) % 0.36/0.61 % SZS output end Proof % 0.36/0.61 % cvc5 exiting %------------------------------------------------------------------------------