%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV385^5 : 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 : n007.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 08:55:52 AM UTC 2026 % Result : Theorem 0.47s 0.66s % Output : Proof 0.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV385^5 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n007.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 18:30:41 EDT 2026 % 0.18/0.34 % CPUTime : % 0.32/0.49 %----Proving TH0 % 0.47/0.66 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.47/0.66 % SZS status Theorem % 0.47/0.66 % SZS output start Proof % 0.47/0.66 ( % 0.47/0.66 (declare-sort tptp.b 0) % 0.47/0.66 (declare-sort tptp.a 0) % 0.47/0.66 (declare-const tptp.y tptp.a) % 0.47/0.66 (declare-const tptp.x tptp.b) % 0.47/0.66 (define @t1 () (@var "Xy0" tptp.b)) % 0.47/0.66 (define @t2 () (@var "Xy" tptp.b)) % 0.47/0.66 (define @t3 () (@var "Xx" tptp.b)) % 0.47/0.66 (define @t4 () (_ (lambda (@list @t3 @t2) (= @t3 @t2)) @t1)) % 0.47/0.66 (define @t5 () (@var "Xx_7" tptp.b)) % 0.47/0.66 (define @t6 () (@var "Xs" (-> tptp.b tptp.a))) % 0.47/0.66 (define @t7 () (_ @t6 @t5)) % 0.47/0.66 (define @t8 () (@var "Xy_56" tptp.a)) % 0.47/0.66 (define @t9 () (= @t8 @t7)) % 0.47/0.66 (define @t10 () (= tptp.x @t5)) % 0.47/0.66 (define @t11 () (and @t10 @t9)) % 0.47/0.66 (define @t12 () (@list @t5)) % 0.47/0.66 (define @t13 () (lambda @t12 @t11)) % 0.47/0.66 (define @t14 () (= @t13 @t4)) % 0.47/0.66 (define @t15 () (@list @t1)) % 0.47/0.66 (define @t16 () (exists @t15 @t14)) % 0.47/0.66 (define @t17 () (= tptp.y @t8)) % 0.47/0.66 (define @t18 () (=> @t17 @t16)) % 0.47/0.66 (define @t19 () (@list @t8)) % 0.47/0.66 (define @t20 () (forall @t19 @t18)) % 0.47/0.66 (define @t21 () (@var "Xx_6" tptp.b)) % 0.47/0.66 (define @t22 () (_ @t6 @t21)) % 0.47/0.66 (define @t23 () (= tptp.y @t22)) % 0.47/0.66 (define @t24 () (= tptp.x @t21)) % 0.47/0.66 (define @t25 () (@list @t21)) % 0.47/0.66 (define @t26 () (forall @t25 (=> @t24 @t23))) % 0.47/0.66 (define @t27 () (and @t26 @t20)) % 0.47/0.66 (define @t28 () (@list @t6)) % 0.47/0.66 (define @t29 () (exists @t28 @t27)) % 0.47/0.66 (define @t30 () (not @t29)) % 0.47/0.66 (define @t31 () (@var "BOUND_VARIABLE_7507" tptp.b)) % 0.47/0.66 (define @t32 () (@list @t2)) % 0.47/0.66 (define @t33 () (lambda @t32 (= @t2 @t31))) % 0.47/0.66 (define @t34 () (_ @t6 @t5)) % 0.47/0.66 (define @t35 () (lambda @t12 (and @t10 (= tptp.y @t34)))) % 0.47/0.66 (define @t36 () (= tptp.y (_ @t6 tptp.x))) % 0.47/0.66 (define @t37 () (not @t36)) % 0.47/0.66 (define @t38 () (@list @t6 @t31)) % 0.47/0.66 (define @t39 () (forall @t38 (or @t37 (not (= @t35 @t33))))) % 0.47/0.66 (define @t40 () (lambda @t32 (= @t31 @t2))) % 0.47/0.66 (define @t41 () (= @t40 @t35)) % 0.47/0.66 (define @t42 () (not @t41)) % 0.47/0.66 (define @t43 () (or @t37 @t42)) % 0.47/0.66 (define @t44 () (forall @t38 @t43)) % 0.47/0.66 (define @t45 () (@list @t31)) % 0.47/0.66 (define @t46 () (forall @t45 @t43)) % 0.47/0.66 (define @t47 () (forall @t45 @t42)) % 0.47/0.66 (define @t48 () (or @t37 @t47)) % 0.47/0.66 (define @t49 () (lambda @t32 (= @t1 @t2))) % 0.47/0.66 (define @t50 () (forall @t15 (not (= @t49 @t35)))) % 0.47/0.66 (define @t51 () (not @t50)) % 0.47/0.66 (define @t52 () (and @t36 @t51)) % 0.47/0.66 (define @t53 () (forall @t28 (not @t52))) % 0.47/0.66 (define @t54 () (not @t53)) % 0.47/0.66 (define @t55 () (not (= tptp.y tptp.y))) % 0.47/0.66 (define @t56 () (or @t55 @t51)) % 0.47/0.66 (define @t57 () (lambda @t12 (and @t10 (= @t8 @t34)))) % 0.47/0.66 (define @t58 () (not (forall @t15 (not (= @t49 @t57))))) % 0.47/0.66 (define @t59 () (not @t17)) % 0.47/0.66 (define @t60 () (or @t59 @t59 @t58)) % 0.47/0.66 (define @t61 () (or @t59 @t58)) % 0.47/0.66 (define @t62 () (not (= @t57 @t49))) % 0.47/0.66 (define @t63 () (= @t13 @t49)) % 0.47/0.66 (define @t64 () (not @t63)) % 0.47/0.66 (define @t65 () (forall @t15 @t64)) % 0.47/0.66 (define @t66 () (not @t65)) % 0.47/0.66 (define @t67 () (not (= tptp.x tptp.x))) % 0.47/0.66 (define @t68 () (or @t67 @t36)) % 0.47/0.66 (define @t69 () (_ @t6 @t21)) % 0.47/0.66 (define @t70 () (= tptp.y @t69)) % 0.47/0.66 (define @t71 () (not @t24)) % 0.47/0.66 (define @t72 () (or @t71 @t71 @t70)) % 0.47/0.66 (define @t73 () (or @t71 @t70)) % 0.47/0.66 (define @t74 () (or @t71 @t23)) % 0.47/0.66 (define @t75 () (lambda @t32 (= tptp.x @t2))) % 0.47/0.66 (define @t76 () (@purify @t75)) % 0.47/0.66 (define @t77 () (lambda @t12 @t10)) % 0.47/0.66 (define @t78 () (@purify @t77)) % 0.47/0.66 (define @t79 () (= @t77 @t75)) % 0.47/0.66 (define @t80 () (not @t79)) % 0.47/0.66 (define @t81 () (lambda @t32 (= @t2 tptp.x))) % 0.47/0.66 (define @t82 () (lambda (@list (@var "BOUND_VARIABLE_14631" tptp.b)) tptp.y)) % 0.47/0.66 (define @t83 () (_ @t82 @t5)) % 0.47/0.66 (define @t84 () (= tptp.y @t83)) % 0.47/0.66 (define @t85 () (and @t10 @t84)) % 0.47/0.66 (define @t86 () (lambda @t12 @t85)) % 0.47/0.66 (define @t87 () (= @t86 @t81)) % 0.47/0.66 (define @t88 () (not @t87)) % 0.47/0.66 (define @t89 () (_ @t82 tptp.x)) % 0.47/0.66 (define @t90 () (= tptp.y @t89)) % 0.47/0.66 (define @t91 () (not @t90)) % 0.47/0.66 (define @t92 () (or @t91 @t88)) % 0.47/0.66 (define @t93 () (= @t78 @t76)) % 0.47/0.66 (define @t94 () (@const 0 tptp.b)) % 0.47/0.66 (define @t95 () (= tptp.x @t94)) % 0.47/0.66 (define @t96 () (_ @t75 @t94)) % 0.47/0.66 (define @t97 () (_ @t76 @t94)) % 0.47/0.66 (define @t98 () (_ @t77 @t94)) % 0.47/0.66 (define @t99 () (_ @t78 @t94)) % 0.47/0.66 (define @t100 () (= @t99 @t97)) % 0.47/0.66 (define @t101 () (not @t100)) % 0.47/0.66 (define @t102 () (or @t93 @t101)) % 0.47/0.66 (assume @p1 @t30) % 0.47/0.66 (assume @p2 true) % 0.47/0.66 (step @p3 :rule bool-double-not-elim :args (@t39)) % 0.47/0.66 (step @p4 :rule eq-symm :args (@t33 @t35)) % 0.47/0.66 (step @p5 :rule refl :args (@t35)) % 0.47/0.66 (step @p6 :rule eq-symm :args (@t31 @t2)) % 0.47/0.66 (step @p7 :rule cong :premises (@p6) :args (@t40)) % 0.47/0.66 (step @p8 :rule cong :premises (@p7 @p5) :args (@t41)) % 0.47/0.66 (step @p9 :rule trans :premises (@p8 @p4)) % 0.47/0.66 (step @p10 :rule cong :premises (@p9) :args (@t42)) % 0.47/0.66 (step @p11 :rule refl :args (@t37)) % 0.47/0.66 (step @p12 :rule nary_cong :premises (@p11 @p10) :args (@t43)) % 0.47/0.66 (step @p13 :rule cong :premises (@p12) :args (@t44)) % 0.47/0.66 (step @p14 :rule quant-merge-prenex :args ((= (forall @t28 @t46) @t44))) % 0.47/0.66 (step @p15 :rule alpha_equiv :args (@t47 (@list @t31) (@list @t1))) % 0.47/0.66 (step @p16 :rule refl :args (@t37)) % 0.47/0.66 (step @p17 :rule nary_cong :premises (@p16 @p15) :args (@t48)) % 0.47/0.66 (step @p18 :rule quant-miniscope-or :args ((= @t46 @t48))) % 0.47/0.66 (step @p19 :rule trans :premises (@p18 @p17)) % 0.47/0.66 (step @p20 :rule symm :premises (@p19)) % 0.47/0.66 (step @p21 :rule cong :premises (@p20) :args ((forall @t28 (or @t37 @t50)))) % 0.47/0.66 (step @p22 :rule trans :premises (@p21 @p14)) % 0.47/0.66 (step @p23 :rule trans :premises (@p22 @p13)) % 0.47/0.66 (step @p24 :rule bool-double-not-elim :args (@t50)) % 0.47/0.66 (step @p25 :rule nary_cong :premises (@p16 @p24) :args ((or @t37 (not @t51)))) % 0.47/0.66 (step @p26 :rule bool-and-de-morgan :args (@t36 @t51 true)) % 0.47/0.66 (step @p27 :rule trans :premises (@p26 @p25)) % 0.47/0.66 (step @p28 :rule cong :premises (@p27) :args (@t53)) % 0.47/0.66 (step @p29 :rule trans :premises (@p28 @p23)) % 0.47/0.66 (step @p30 :rule cong :premises (@p29) :args (@t54)) % 0.47/0.66 (step @p31 :rule exists-elim :args ((= (exists @t28 @t52) @t54))) % 0.47/0.66 (step @p32 :rule trans :premises (@p31 @p30)) % 0.47/0.66 (step @p33 :rule aci_norm :args ((= (or false @t51) @t51))) % 0.47/0.66 (step @p34 :rule refl :args (@t51)) % 0.47/0.66 (step @p35 :rule evaluate :args ((not true))) % 0.47/0.66 (step @p36 :rule eq-refl :args (tptp.y)) % 0.47/0.66 (step @p37 :rule cong :premises (@p36) :args (@t55)) % 0.47/0.66 (step @p38 :rule trans :premises (@p37 @p35)) % 0.47/0.66 (step @p39 :rule nary_cong :premises (@p38 @p34) :args (@t56)) % 0.47/0.66 (step @p40 :rule trans :premises (@p39 @p33)) % 0.47/0.66 (step @p41 :rule quant-var-elim-eq :args ((= (forall @t19 (or (not (= @t8 tptp.y)) @t59 @t58)) @t56))) % 0.47/0.66 (step @p42 :rule refl :args (@t58)) % 0.47/0.66 (step @p43 :rule refl :args (@t59)) % 0.47/0.66 (step @p44 :rule eq-symm :args (tptp.y @t8)) % 0.47/0.67 (step @p45 :rule cong :premises (@p44) :args (@t59)) % 0.47/0.67 (step @p46 :rule nary_cong :premises (@p45 @p43 @p42) :args (@t60)) % 0.47/0.67 (step @p47 :rule aci_norm :args ((= @t61 @t60))) % 0.47/0.67 (step @p48 :rule trans :premises (@p47 @p46)) % 0.47/0.67 (step @p49 :rule cong :premises (@p48) :args ((forall @t19 @t61))) % 0.47/0.67 (step @p50 :rule trans :premises (@p49 @p41)) % 0.47/0.67 (step @p51 :rule trans :premises (@p50 @p40)) % 0.47/0.67 (step @p52 :rule bool-impl-elim :args (@t17 @t58)) % 0.47/0.67 (step @p53 :rule cong :premises (@p52) :args ((forall @t19 (=> @t17 @t58)))) % 0.47/0.67 (step @p54 :rule trans :premises (@p53 @p51)) % 0.47/0.67 (step @p55 :rule eq-symm :args (@t57 @t49)) % 0.47/0.67 (step @p56 :rule cong :premises (@p55) :args (@t62)) % 0.47/0.67 (step @p57 :rule cong :premises (@p56) :args ((forall @t15 @t62))) % 0.47/0.67 (step @p58 :rule refl :args (@t49)) % 0.47/0.67 (step @p59 :rule refl :args (@t34)) % 0.47/0.67 (step @p60 :rule refl :args (@t7)) % 0.47/0.67 (step @p61 :rule cong :premises (@p60 @p59) :args ((= @t7 @t34))) % 0.47/0.67 (step @p62 :rule symm :premises (@p61)) % 0.47/0.67 (step @p63 :rule eq_resolve :premises (@p60 @p62)) % 0.47/0.67 (step @p64 :rule refl :args (@t8)) % 0.47/0.67 (step @p65 :rule cong :premises (@p64 @p63) :args (@t9)) % 0.47/0.67 (step @p66 :rule refl :args (@t10)) % 0.47/0.67 (step @p67 :rule nary_cong :premises (@p66 @p65) :args (@t11)) % 0.47/0.67 (step @p68 :rule cong :premises (@p67) :args (@t13)) % 0.47/0.67 (step @p69 :rule cong :premises (@p68 @p58) :args (@t63)) % 0.47/0.67 (step @p70 :rule cong :premises (@p69) :args (@t64)) % 0.47/0.67 (step @p71 :rule cong :premises (@p70) :args (@t65)) % 0.47/0.67 (step @p72 :rule trans :premises (@p71 @p57)) % 0.47/0.67 (step @p73 :rule cong :premises (@p72) :args (@t66)) % 0.47/0.67 (step @p74 :rule exists-elim :args ((= (exists @t15 @t63) @t66))) % 0.47/0.67 (step @p75 :rule trans :premises (@p74 @p73)) % 0.47/0.67 (step @p76 :rule beta-reduce :args ((= @t4 @t49))) % 0.47/0.67 (step @p77 :rule refl :args (@t13)) % 0.47/0.67 (step @p78 :rule cong :premises (@p77 @p76) :args (@t14)) % 0.47/0.67 (step @p79 :rule cong :premises (@p78) :args (@t16)) % 0.47/0.67 (step @p80 :rule trans :premises (@p79 @p75)) % 0.47/0.67 (step @p81 :rule refl :args (@t17)) % 0.47/0.67 (step @p82 :rule cong :premises (@p81 @p80) :args (@t18)) % 0.47/0.67 (step @p83 :rule cong :premises (@p82) :args (@t20)) % 0.47/0.67 (step @p84 :rule trans :premises (@p83 @p54)) % 0.47/0.67 (step @p85 :rule aci_norm :args ((= (or false @t36) @t36))) % 0.47/0.67 (step @p86 :rule refl :args (@t36)) % 0.47/0.67 (step @p87 :rule eq-refl :args (tptp.x)) % 0.47/0.67 (step @p88 :rule cong :premises (@p87) :args (@t67)) % 0.47/0.67 (step @p89 :rule trans :premises (@p88 @p35)) % 0.47/0.67 (step @p90 :rule nary_cong :premises (@p89 @p86) :args (@t68)) % 0.47/0.67 (step @p91 :rule trans :premises (@p90 @p85)) % 0.47/0.67 (step @p92 :rule quant-var-elim-eq :args ((= (forall @t25 (or (not (= @t21 tptp.x)) @t71 @t70)) @t68))) % 0.47/0.67 (step @p93 :rule refl :args (@t70)) % 0.47/0.67 (step @p94 :rule refl :args (@t71)) % 0.47/0.67 (step @p95 :rule eq-symm :args (tptp.x @t21)) % 0.47/0.67 (step @p96 :rule cong :premises (@p95) :args (@t71)) % 0.47/0.67 (step @p97 :rule nary_cong :premises (@p96 @p94 @p93) :args (@t72)) % 0.47/0.67 (step @p98 :rule aci_norm :args ((= @t73 @t72))) % 0.47/0.67 (step @p99 :rule trans :premises (@p98 @p97)) % 0.47/0.67 (step @p100 :rule cong :premises (@p99) :args ((forall @t25 @t73))) % 0.47/0.67 (step @p101 :rule trans :premises (@p100 @p92)) % 0.47/0.67 (step @p102 :rule trans :premises (@p101 @p91)) % 0.47/0.67 (step @p103 :rule refl :args (@t69)) % 0.47/0.67 (step @p104 :rule refl :args (@t22)) % 0.47/0.67 (step @p105 :rule cong :premises (@p104 @p103) :args ((= @t22 @t69))) % 0.47/0.67 (step @p106 :rule symm :premises (@p105)) % 0.47/0.67 (step @p107 :rule eq_resolve :premises (@p104 @p106)) % 0.47/0.67 (step @p108 :rule refl :args (tptp.y)) % 0.47/0.67 (step @p109 :rule cong :premises (@p108 @p107) :args (@t23)) % 0.47/0.67 (step @p110 :rule nary_cong :premises (@p94 @p109) :args (@t74)) % 0.47/0.67 (step @p111 :rule cong :premises (@p110) :args ((forall @t25 @t74))) % 0.47/0.67 (step @p112 :rule trans :premises (@p111 @p102)) % 0.47/0.67 (step @p113 :rule bool-impl-elim :args (@t24 @t23)) % 0.47/0.67 (step @p114 :rule cong :premises (@p113) :args (@t26)) % 0.47/0.67 (step @p115 :rule trans :premises (@p114 @p112)) % 0.47/0.67 (step @p116 :rule nary_cong :premises (@p115 @p84) :args (@t27)) % 0.47/0.67 (step @p117 :rule cong :premises (@p116) :args (@t29)) % 0.47/0.67 (step @p118 :rule trans :premises (@p117 @p32)) % 0.47/0.67 (step @p119 :rule cong :premises (@p118) :args (@t30)) % 0.47/0.67 (step @p120 :rule trans :premises (@p119 @p3)) % 0.47/0.67 (step @p121 :rule eq_resolve :premises (@p1 @p120)) % 0.47/0.67 (step @p122 :rule eq-refl :args (@t75)) % 0.47/0.67 (step @p123 :rule skolem_intro :args (@t76)) % 0.47/0.67 (step @p124 :rule refl :args (@t75)) % 0.47/0.67 (step @p125 :rule cong :premises (@p124 @p123) :args ((= @t75 @t76))) % 0.47/0.67 (step @p126 :rule trans :premises (@p125 @p122)) % 0.47/0.67 (step @p127 :rule true_elim :premises (@p126)) % 0.47/0.67 (step @p128 :rule eq-refl :args (@t77)) % 0.47/0.67 (step @p129 :rule skolem_intro :args (@t78)) % 0.47/0.67 (step @p130 :rule refl :args (@t77)) % 0.47/0.67 (step @p131 :rule cong :premises (@p130 @p129) :args ((= @t77 @t78))) % 0.47/0.67 (step @p132 :rule trans :premises (@p131 @p128)) % 0.47/0.67 (step @p133 :rule true_elim :premises (@p132)) % 0.47/0.67 (step @p134 :rule cong :premises (@p133 @p127) :args (@t79)) % 0.47/0.67 (step @p135 :rule cong :premises (@p134) :args (@t80)) % 0.47/0.67 (step @p136 :rule refl :args (@t39)) % 0.47/0.67 (step @p137 :rule cong :premises (@p136 @p135) :args ((=> @t39 @t80))) % 0.47/0.67 (step @p138 :rule aci_norm :args ((= (or false @t80) @t80))) % 0.47/0.67 (step @p139 :rule eq-symm :args (@t2 tptp.x)) % 0.47/0.67 (step @p140 :rule cong :premises (@p139) :args (@t81)) % 0.47/0.67 (step @p141 :rule aci_norm :args ((= (and @t10 true) @t10))) % 0.47/0.67 (step @p142 :rule beta-reduce :args ((= @t83 tptp.y))) % 0.47/0.67 (step @p143 :rule refl :args (tptp.y)) % 0.47/0.67 (step @p144 :rule cong :premises (@p143 @p142) :args (@t84)) % 0.47/0.67 (step @p145 :rule trans :premises (@p144 @p36)) % 0.47/0.67 (step @p146 :rule refl :args (@t10)) % 0.47/0.67 (step @p147 :rule nary_cong :premises (@p146 @p145) :args (@t85)) % 0.47/0.67 (step @p148 :rule trans :premises (@p147 @p141)) % 0.47/0.67 (step @p149 :rule cong :premises (@p148) :args (@t86)) % 0.47/0.67 (step @p150 :rule cong :premises (@p149 @p140) :args (@t87)) % 0.47/0.67 (step @p151 :rule cong :premises (@p150) :args (@t88)) % 0.47/0.67 (step @p152 :rule beta-reduce :args ((= @t89 tptp.y))) % 0.47/0.67 (step @p153 :rule cong :premises (@p143 @p152) :args (@t90)) % 0.47/0.67 (step @p154 :rule trans :premises (@p153 @p36)) % 0.47/0.67 (step @p155 :rule cong :premises (@p154) :args (@t91)) % 0.47/0.67 (step @p156 :rule trans :premises (@p155 @p35)) % 0.47/0.67 (step @p157 :rule nary_cong :premises (@p156 @p151) :args (@t92)) % 0.47/0.67 (step @p158 :rule trans :premises (@p157 @p138)) % 0.47/0.67 (step @p159 :rule cong :premises (@p136 @p158) :args ((=> @t39 @t92))) % 0.47/0.67 (assume-push @p200 @t39) % 0.47/0.67 (step @p161 :rule instantiate :premises (@p121) :args ((@list @t82 tptp.x))) % 0.47/0.67 (step-pop @p201 :rule scope :premises (@p161)) % 0.47/0.67 (step @p162 :rule process_scope :premises (@p201) :args (@t92)) % 0.47/0.67 (step @p164 :rule eq_resolve :premises (@p162 @p159)) % 0.47/0.67 (step @p165 :rule eq_resolve :premises (@p164 @p137)) % 0.47/0.67 (step @p166 :rule implies_elim :premises (@p165)) % 0.47/0.67 (step @p167 :rule chain_m_resolution :premises (@p166 @p121) :args ((not @t93) (@list false) (@list @t39))) % 0.47/0.67 (step @p168 :rule aci_norm :args ((= (or @t93 false) @t93))) % 0.47/0.67 (step @p169 :rule eq-refl :args (@t95)) % 0.47/0.67 (step @p170 :rule beta-reduce :args ((= @t96 @t95))) % 0.47/0.67 (step @p171 :rule refl :args (@t95)) % 0.47/0.67 (step @p172 :rule cong :premises (@p171 @p170) :args ((= @t95 @t96))) % 0.47/0.67 (step @p173 :rule trans :premises (@p172 @p169)) % 0.47/0.67 (step @p174 :rule eq-symm :args (@t96 @t95)) % 0.47/0.67 (step @p175 :rule trans :premises (@p174 @p173)) % 0.47/0.67 (step @p176 :rule refl :args (@t94)) % 0.47/0.67 (step @p177 :rule ho_cong :premises (@p123 @p176)) % 0.47/0.67 (step @p178 :rule cong :premises (@p177 @p171) :args ((= @t97 @t95))) % 0.47/0.67 (step @p179 :rule trans :premises (@p178 @p175)) % 0.47/0.67 (step @p180 :rule true_elim :premises (@p179)) % 0.47/0.67 (step @p181 :rule beta-reduce :args ((= @t98 @t95))) % 0.47/0.67 (step @p182 :rule cong :premises (@p171 @p181) :args ((= @t95 @t98))) % 0.47/0.67 (step @p183 :rule trans :premises (@p182 @p169)) % 0.47/0.67 (step @p184 :rule eq-symm :args (@t98 @t95)) % 0.47/0.67 (step @p185 :rule trans :premises (@p184 @p183)) % 0.47/0.67 (step @p186 :rule ho_cong :premises (@p129 @p176)) % 0.47/0.67 (step @p187 :rule cong :premises (@p186 @p171) :args ((= @t99 @t95))) % 0.47/0.67 (step @p188 :rule trans :premises (@p187 @p185)) % 0.47/0.67 (step @p189 :rule true_elim :premises (@p188)) % 0.47/0.67 (step @p190 :rule cong :premises (@p189 @p180) :args (@t100)) % 0.47/0.67 (step @p191 :rule trans :premises (@p190 @p169)) % 0.47/0.67 (step @p192 :rule cong :premises (@p191) :args (@t101)) % 0.47/0.67 (step @p193 :rule trans :premises (@p192 @p35)) % 0.47/0.67 (step @p194 :rule refl :args (@t93)) % 0.47/0.67 (step @p195 :rule nary_cong :premises (@p194 @p193) :args (@t102)) % 0.47/0.67 (step @p196 :rule trans :premises (@p195 @p168)) % 0.47/0.67 ; WARNING: add trust step for TRUST % 0.47/0.67 ; trust TRUST THEORY_LEMMA % 0.47/0.67 (step @p197 :rule trust :premises () :args (@t102)) % 0.47/0.67 (step @p198 :rule eq_resolve :premises (@p197 @p196)) % 0.47/0.67 (step @p199 false :rule chain_m_resolution :premises (@p198 @p167) :args (false (@list true) (@list @t93))) % 0.47/0.67 ) % 0.47/0.67 % SZS output end Proof % 0.47/0.67 % cvc5 exiting %------------------------------------------------------------------------------