%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV171^5 : 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 : n021.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 08:55:33 AM UTC 2026 % Result : Theorem 19.51s 19.71s % Output : Proof 19.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV171^5 : 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 % 0.16/0.34 % Computer : n021.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 18:18:20 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TH0 % 19.51/19.71 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 19.51/19.71 % SZS status Theorem % 19.51/19.71 % SZS output start Proof % 19.51/19.71 ( % 19.51/19.71 (declare-sort tptp.a 0) % 19.51/19.71 (define @t1 () (@var "Y" tptp.a)) % 19.51/19.71 (define @t2 () (@var "X" tptp.a)) % 19.51/19.71 (define @t3 () (@var "G" (-> tptp.a tptp.a tptp.a))) % 19.51/19.71 (define @t4 () (_ (_ @t3 @t2) @t1)) % 19.51/19.71 (define @t5 () (@list @t3)) % 19.51/19.71 (define @t6 () (lambda @t5 @t4)) % 19.51/19.71 (define @t7 () (@var "F" (-> tptp.a (-> tptp.a tptp.a tptp.a) tptp.a))) % 19.51/19.71 (define @t8 () (_ @t7 @t2)) % 19.51/19.71 (define @t9 () (= @t8 @t6)) % 19.51/19.71 (define @t10 () (@list @t1 (@var "Z" tptp.a))) % 19.51/19.71 (define @t11 () (exists @t10 @t9)) % 19.51/19.71 (define @t12 () (@list @t2)) % 19.51/19.71 (define @t13 () (forall @t12 @t11)) % 19.51/19.71 (define @t14 () (@var "Xy" tptp.a)) % 19.51/19.71 (define @t15 () (@var "Xx" tptp.a)) % 19.51/19.71 (define @t16 () (= @t15 @t14)) % 19.51/19.71 (define @t17 () (= (_ @t7 @t15) (_ @t7 @t14))) % 19.51/19.71 (define @t18 () (@list @t15 @t14)) % 19.51/19.71 (define @t19 () (forall @t18 (=> @t17 @t16))) % 19.51/19.71 (define @t20 () (and @t19 @t13)) % 19.51/19.71 (define @t21 () (@list @t7)) % 19.51/19.71 (define @t22 () (exists @t21 @t20)) % 19.51/19.71 (define @t23 () (not @t22)) % 19.51/19.71 (define @t24 () (_ @t3 @t2 @t1)) % 19.51/19.71 (define @t25 () (lambda @t5 @t24)) % 19.51/19.71 (define @t26 () (@list @t1)) % 19.51/19.71 (define @t27 () (forall @t12 (not (forall @t26 (not (= @t8 @t25)))))) % 19.51/19.71 (define @t28 () (forall @t18 (or (not @t17) @t16))) % 19.51/19.71 (define @t29 () (forall @t21 (or (not @t28) (not @t27)))) % 19.51/19.71 (define @t30 () (and @t28 @t27)) % 19.51/19.71 (define @t31 () (forall @t21 (not @t30))) % 19.51/19.71 (define @t32 () (not @t31)) % 19.51/19.71 (define @t33 () (not @t9)) % 19.51/19.71 (define @t34 () (forall @t26 @t33)) % 19.51/19.71 (define @t35 () (forall @t10 @t33)) % 19.51/19.71 (define @t36 () (not @t35)) % 19.51/19.71 (define @t37 () (@var "BOUND_VARIABLE_173910" (-> tptp.a tptp.a tptp.a))) % 19.51/19.71 (define @t38 () (@list @t37)) % 19.51/19.71 (define @t39 () (lambda @t38 (_ @t37 @t2 @t2))) % 19.51/19.71 (define @t40 () (@var "BOUND_VARIABLE_173909" tptp.a)) % 19.51/19.71 (define @t41 () (lambda (@list @t40 @t37) (_ @t37 @t40 @t40))) % 19.51/19.71 (define @t42 () (_ @t41 @t2)) % 19.51/19.71 (define @t43 () (= @t42 @t25)) % 19.51/19.71 (define @t44 () (not @t43)) % 19.51/19.71 (define @t45 () (forall @t26 @t44)) % 19.51/19.71 (define @t46 () (not @t45)) % 19.51/19.71 (define @t47 () (forall @t12 @t46)) % 19.51/19.71 (define @t48 () (not @t47)) % 19.51/19.71 (define @t49 () (lambda @t38 (_ @t37 @t14 @t14))) % 19.51/19.71 (define @t50 () (_ @t41 @t14)) % 19.51/19.71 (define @t51 () (lambda @t38 (_ @t37 @t15 @t15))) % 19.51/19.71 (define @t52 () (_ @t41 @t15)) % 19.51/19.71 (define @t53 () (= @t52 @t50)) % 19.51/19.71 (define @t54 () (not @t53)) % 19.51/19.71 (define @t55 () (or @t54 @t16)) % 19.51/19.71 (define @t56 () (forall @t18 @t55)) % 19.51/19.71 (define @t57 () (not @t56)) % 19.51/19.71 (define @t58 () (or @t57 @t48)) % 19.51/19.71 (define @t59 () (forall @t12 (not (forall @t26 (not (= @t25 @t39)))))) % 19.51/19.71 (define @t60 () (not @t59)) % 19.51/19.71 (define @t61 () (forall @t18 (or (not (= @t51 @t49)) @t16))) % 19.51/19.71 (define @t62 () (not @t61)) % 19.51/19.71 (define @t63 () (or @t62 @t60)) % 19.51/19.71 (define @t64 () (@list false)) % 19.51/19.71 (define @t65 () (@quantifiers_skolemize @t61 0)) % 19.51/19.71 (define @t66 () (_ @t37 @t65 @t65)) % 19.51/19.71 (define @t67 () (lambda @t38 @t66)) % 19.51/19.71 (define @t68 () (@purify @t67)) % 19.51/19.71 (define @t69 () (@quantifiers_skolemize @t61 1)) % 19.51/19.71 (define @t70 () (_ @t37 @t69 @t69)) % 19.51/19.71 (define @t71 () (lambda @t38 @t70)) % 19.51/19.71 (define @t72 () (@purify @t71)) % 19.51/19.71 (define @t73 () (= @t72 @t68)) % 19.51/19.71 (define @t74 () (= @t65 @t69)) % 19.51/19.71 (define @t75 () (not @t73)) % 19.51/19.71 (define @t76 () (or @t75 @t74)) % 19.51/19.71 (define @t77 () (forall @t38 (= @t70 @t66))) % 19.51/19.71 (define @t78 () (=> @t73 @t77)) % 19.51/19.71 (define @t79 () (@var "BOUND_VARIABLE_1962074" tptp.a)) % 19.51/19.71 (define @t80 () (lambda (@list @t79 (@var "BOUND_VARIABLE_1962075" tptp.a)) @t79)) % 19.51/19.71 (define @t81 () (_ @t80 @t69 @t69)) % 19.51/19.71 (define @t82 () (_ @t80 @t65 @t65)) % 19.51/19.71 (define @t83 () (= @t82 @t81)) % 19.51/19.71 (define @t84 () (forall @t38 (= @t66 @t70))) % 19.51/19.71 (define @t85 () (not @t76)) % 19.51/19.71 (define @t86 () (= @t67 @t71)) % 19.51/19.71 (define @t87 () (not @t86)) % 19.51/19.71 (define @t88 () (or @t87 @t74)) % 19.51/19.71 (define @t89 () (not @t88)) % 19.51/19.71 (define @t90 () (@quantifiers_skolemize @t59 0)) % 19.51/19.71 (define @t91 () (lambda @t38 (_ @t37 @t90 @t90))) % 19.51/19.71 (define @t92 () (forall @t26 (not (= (lambda @t5 (_ @t3 @t90 @t1)) @t91)))) % 19.51/19.71 (define @t93 () (not (not @t92))) % 19.51/19.71 (define @t94 () (@list true)) % 19.51/19.71 (define @t95 () (lambda @t5 (_ @t3 @t90 @t90))) % 19.51/19.71 (define @t96 () (@purify @t95)) % 19.51/19.71 (define @t97 () (@purify @t91)) % 19.51/19.71 (define @t98 () (= @t91 @t95)) % 19.51/19.71 (define @t99 () (not @t98)) % 19.51/19.71 (define @t100 () (not (= @t95 @t91))) % 19.51/19.71 (define @t101 () (= @t97 @t96)) % 19.51/19.71 (define @t102 () (@const 0 (-> tptp.a tptp.a tptp.a))) % 19.51/19.71 (define @t103 () (_ @t102 @t90 @t90)) % 19.51/19.71 (define @t104 () (= (_ @t95 @t102) @t103)) % 19.51/19.71 (define @t105 () (_ @t96 @t102)) % 19.51/19.71 (define @t106 () (= (_ @t91 @t102) @t103)) % 19.51/19.71 (define @t107 () (_ @t97 @t102)) % 19.51/19.71 (define @t108 () (= @t107 @t105)) % 19.51/19.71 (define @t109 () (not @t108)) % 19.51/19.71 (define @t110 () (or @t101 @t109)) % 19.51/19.71 (assume @p1 @t23) % 19.51/19.71 (assume @p2 true) % 19.51/19.71 (step @p3 :rule bool-double-not-elim :args (@t29)) % 19.51/19.71 (step @p4 :rule bool-and-de-morgan :args (@t28 @t27 true)) % 19.51/19.71 (step @p5 :rule cong :premises (@p4) :args (@t31)) % 19.51/19.71 (step @p6 :rule cong :premises (@p5) :args (@t32)) % 19.51/19.71 (step @p7 :rule exists-elim :args ((= (exists @t21 @t30) @t32))) % 19.51/19.71 (step @p8 :rule trans :premises (@p7 @p6)) % 19.51/19.71 (step @p9 :rule refl :args (@t24)) % 19.51/19.71 (step @p10 :rule refl :args (@t4)) % 19.51/19.71 (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t4 @t24))) % 19.51/19.71 (step @p12 :rule symm :premises (@p11)) % 19.51/19.71 (step @p13 :rule eq_resolve :premises (@p10 @p12)) % 19.51/19.71 (step @p14 :rule cong :premises (@p13) :args (@t6)) % 19.51/19.71 (step @p15 :rule refl :args (@t8)) % 19.51/19.71 (step @p16 :rule cong :premises (@p15 @p14) :args (@t9)) % 19.51/19.71 (step @p17 :rule cong :premises (@p16) :args (@t33)) % 19.51/19.71 (step @p18 :rule cong :premises (@p17) :args (@t34)) % 19.51/19.71 (step @p19 :rule quant-unused-vars :args ((= @t35 @t34))) % 19.51/19.71 (step @p20 :rule trans :premises (@p19 @p18)) % 19.51/19.71 (step @p21 :rule cong :premises (@p20) :args (@t36)) % 19.51/19.71 (step @p22 :rule exists-elim :args ((= @t11 @t36))) % 19.51/19.71 (step @p23 :rule trans :premises (@p22 @p21)) % 19.51/19.71 (step @p24 :rule cong :premises (@p23) :args (@t13)) % 19.51/19.71 (step @p25 :rule bool-impl-elim :args (@t17 @t16)) % 19.51/19.71 (step @p26 :rule cong :premises (@p25) :args (@t19)) % 19.51/19.71 (step @p27 :rule nary_cong :premises (@p26 @p24) :args (@t20)) % 19.51/19.71 (step @p28 :rule cong :premises (@p27) :args (@t22)) % 19.51/19.71 (step @p29 :rule trans :premises (@p28 @p8)) % 19.51/19.71 (step @p30 :rule cong :premises (@p29) :args (@t23)) % 19.51/19.71 (step @p31 :rule trans :premises (@p30 @p3)) % 19.51/19.71 (step @p32 :rule eq_resolve :premises (@p1 @p31)) % 19.51/19.71 (step @p33 :rule eq-symm :args (@t39 @t25)) % 19.51/19.71 (step @p34 :rule refl :args (@t25)) % 19.51/19.71 (step @p35 :rule beta-reduce :args ((= @t42 @t39))) % 19.51/19.71 (step @p36 :rule cong :premises (@p35 @p34) :args (@t43)) % 19.51/19.71 (step @p37 :rule trans :premises (@p36 @p33)) % 19.51/19.71 (step @p38 :rule cong :premises (@p37) :args (@t44)) % 19.51/19.71 (step @p39 :rule cong :premises (@p38) :args (@t45)) % 19.51/19.71 (step @p40 :rule cong :premises (@p39) :args (@t46)) % 19.51/19.71 (step @p41 :rule cong :premises (@p40) :args (@t47)) % 19.51/19.71 (step @p42 :rule cong :premises (@p41) :args (@t48)) % 19.51/19.71 (step @p43 :rule refl :args (@t16)) % 19.51/19.71 (step @p44 :rule beta-reduce :args ((= @t50 @t49))) % 19.51/19.71 (step @p45 :rule beta-reduce :args ((= @t52 @t51))) % 19.51/19.71 (step @p46 :rule cong :premises (@p45 @p44) :args (@t53)) % 19.51/19.71 (step @p47 :rule cong :premises (@p46) :args (@t54)) % 19.51/19.71 (step @p48 :rule nary_cong :premises (@p47 @p43) :args (@t55)) % 19.51/19.71 (step @p49 :rule cong :premises (@p48) :args (@t56)) % 19.51/19.71 (step @p50 :rule cong :premises (@p49) :args (@t57)) % 19.51/19.71 (step @p51 :rule nary_cong :premises (@p50 @p42) :args (@t58)) % 19.51/19.71 (step @p52 :rule refl :args (@t29)) % 19.51/19.71 (step @p53 :rule cong :premises (@p52 @p51) :args ((=> @t29 @t58))) % 19.51/19.71 (assume-push @p192 @t29) % 19.51/19.71 (step @p55 :rule instantiate :premises (@p32) :args ((@list @t41))) % 19.51/19.71 (step-pop @p193 :rule scope :premises (@p55)) % 19.51/19.71 (step @p56 :rule process_scope :premises (@p193) :args (@t58)) % 19.51/19.71 (step @p58 :rule eq_resolve :premises (@p56 @p53)) % 19.51/19.71 (step @p59 :rule implies_elim :premises (@p58)) % 19.51/19.71 (step @p60 :rule chain_m_resolution :premises (@p59 @p32) :args (@t63 @t64 (@list @t29))) % 19.51/19.71 (step @p61 :rule bool-double-not-elim :args (@t73)) % 19.51/19.71 (step @p62 :rule refl :args (@t76)) % 19.51/19.71 (step @p63 :rule nary_cong :premises (@p62 @p61) :args ((or @t76 (not @t75)))) % 19.51/19.71 (step @p64 :rule cnf_or_neg :args (@t76 0)) % 19.51/19.71 (step @p65 :rule eq_resolve :premises (@p64 @p63)) % 19.51/19.71 (step @p66 :rule reordering :premises (@p65) :args ((or @t73 @t76))) % 19.51/19.71 (step @p67 :rule cnf_or_neg :args (@t76 1)) % 19.51/19.71 (step @p68 :rule eq-symm :args (@t70 @t66)) % 19.51/19.71 (step @p69 :rule cong :premises (@p68) :args (@t77)) % 19.51/19.71 (step @p70 :rule refl :args (@t73)) % 19.51/19.71 (step @p71 :rule cong :premises (@p70 @p69) :args (@t78)) % 19.51/19.71 ; WARNING: add trust step for TRUST % 19.51/19.71 ; trust TRUST THEORY_LEMMA % 19.51/19.71 (step @p72 :rule trust :premises () :args (@t78)) % 19.51/19.71 (step @p73 :rule eq_resolve :premises (@p72 @p71)) % 19.51/19.71 (step @p74 :rule implies_elim :premises (@p73)) % 19.51/19.71 (step @p75 :rule beta-reduce :args ((= @t81 @t69))) % 19.51/19.71 (step @p76 :rule beta-reduce :args ((= @t82 @t65))) % 19.51/19.71 (step @p77 :rule cong :premises (@p76 @p75) :args (@t83)) % 19.51/19.71 (step @p78 :rule refl :args (@t84)) % 19.51/19.71 (step @p79 :rule cong :premises (@p78 @p77) :args ((=> @t84 @t83))) % 19.51/19.71 (assume-push @p194 @t84) % 19.51/19.71 (step @p81 :rule instantiate :premises (@p194) :args ((@list @t80))) % 19.51/19.71 (step-pop @p195 :rule scope :premises (@p81)) % 19.51/19.71 (step @p82 :rule process_scope :premises (@p195) :args (@t83)) % 19.51/19.71 (step @p84 :rule eq_resolve :premises (@p82 @p79)) % 19.51/19.71 (step @p85 :rule implies_elim :premises (@p84)) % 19.51/19.71 (step @p86 :rule reordering :premises (@p85) :args ((or @t74 (not @t84)))) % 19.51/19.71 (step @p87 :rule chain_m_resolution :premises (@p86 @p74 @p67 @p66) :args (@t76 (@list false true false) (@list @t84 @t74 @t73))) % 19.51/19.71 (step @p88 :rule refl :args (@t85)) % 19.51/19.71 (step @p89 :rule bool-double-not-elim :args (@t61)) % 19.51/19.71 (step @p90 :rule nary_cong :premises (@p89 @p88) :args ((or (not @t62) @t85))) % 19.51/19.71 (step @p91 :rule refl :args (@t74)) % 19.51/19.71 (step @p92 :rule eq-symm :args (@t68 @t72)) % 19.51/19.71 (step @p93 :rule eq-refl :args (@t71)) % 19.51/19.71 (step @p94 :rule skolem_intro :args (@t72)) % 19.51/19.71 (step @p95 :rule refl :args (@t71)) % 19.51/19.71 (step @p96 :rule cong :premises (@p95 @p94) :args ((= @t71 @t72))) % 19.51/19.71 (step @p97 :rule trans :premises (@p96 @p93)) % 19.51/19.71 (step @p98 :rule true_elim :premises (@p97)) % 19.51/19.71 (step @p99 :rule eq-refl :args (@t67)) % 19.51/19.71 (step @p100 :rule skolem_intro :args (@t68)) % 19.51/19.71 (step @p101 :rule refl :args (@t67)) % 19.51/19.71 (step @p102 :rule cong :premises (@p101 @p100) :args ((= @t67 @t68))) % 19.51/19.71 (step @p103 :rule trans :premises (@p102 @p99)) % 19.51/19.71 (step @p104 :rule true_elim :premises (@p103)) % 19.51/19.71 (step @p105 :rule cong :premises (@p104 @p98) :args (@t86)) % 19.51/19.71 (step @p106 :rule trans :premises (@p105 @p92)) % 19.51/19.71 (step @p107 :rule cong :premises (@p106) :args (@t87)) % 19.51/19.71 (step @p108 :rule nary_cong :premises (@p107 @p91) :args (@t88)) % 19.51/19.71 (step @p109 :rule cong :premises (@p108) :args (@t89)) % 19.51/19.71 (step @p110 :rule refl :args (@t62)) % 19.51/19.71 (step @p111 :rule cong :premises (@p110 @p109) :args ((=> @t62 @t89))) % 19.51/19.71 (assume-push @p196 @t62) % 19.51/19.71 (step @p113 :rule skolemize :premises (@p196)) % 19.51/19.71 (step-pop @p197 :rule scope :premises (@p113)) % 19.51/19.71 (step @p114 :rule process_scope :premises (@p197) :args (@t89)) % 19.51/19.71 (step @p116 :rule eq_resolve :premises (@p114 @p111)) % 19.51/19.71 (step @p117 :rule implies_elim :premises (@p116)) % 19.51/19.71 (step @p118 :rule eq_resolve :premises (@p117 @p90)) % 19.51/19.71 (step @p119 :rule chain_m_resolution :premises (@p118 @p87) :args (@t61 @t64 (@list @t76))) % 19.51/19.71 (step @p120 :rule cnf_or_pos :args (@t63)) % 19.51/19.71 (step @p121 :rule reordering :premises (@p120) :args ((or @t62 @t60 (not @t63)))) % 19.51/19.71 (step @p122 :rule chain_m_resolution :premises (@p121 @p119 @p60) :args (@t60 (@list false false) (@list @t61 @t63))) % 19.51/19.71 (step @p123 :rule refl :args (@t92)) % 19.51/19.71 (step @p124 :rule bool-double-not-elim :args (@t59)) % 19.51/19.71 (step @p125 :rule nary_cong :premises (@p124 @p123) :args ((or (not @t60) @t92))) % 19.51/19.71 (step @p126 :rule bool-double-not-elim :args (@t92)) % 19.51/19.71 (step @p127 :rule refl :args (@t60)) % 19.51/19.71 (step @p128 :rule cong :premises (@p127 @p126) :args ((=> @t60 @t93))) % 19.51/19.71 (assume-push @p198 @t60) % 19.51/19.71 (step @p130 :rule skolemize :premises (@p198)) % 19.51/19.71 (step-pop @p199 :rule scope :premises (@p130)) % 19.51/19.71 (step @p131 :rule process_scope :premises (@p199) :args (@t93)) % 19.51/19.71 (step @p133 :rule eq_resolve :premises (@p131 @p128)) % 19.51/19.71 (step @p134 :rule implies_elim :premises (@p133)) % 19.51/19.71 (step @p135 :rule eq_resolve :premises (@p134 @p125)) % 19.51/19.71 (step @p136 :rule chain_m_resolution :premises (@p135 @p122) :args (@t92 @t94 (@list @t59))) % 19.51/19.71 (step @p137 :rule eq-refl :args (@t95)) % 19.51/19.71 (step @p138 :rule skolem_intro :args (@t96)) % 19.51/19.71 (step @p139 :rule refl :args (@t95)) % 19.51/19.71 (step @p140 :rule cong :premises (@p139 @p138) :args ((= @t95 @t96))) % 19.51/19.71 (step @p141 :rule trans :premises (@p140 @p137)) % 19.51/19.71 (step @p142 :rule true_elim :premises (@p141)) % 19.51/19.71 (step @p143 :rule eq-refl :args (@t91)) % 19.51/19.71 (step @p144 :rule skolem_intro :args (@t97)) % 19.51/19.71 (step @p145 :rule refl :args (@t91)) % 19.51/19.71 (step @p146 :rule cong :premises (@p145 @p144) :args ((= @t91 @t97))) % 19.51/19.71 (step @p147 :rule trans :premises (@p146 @p143)) % 19.51/19.71 (step @p148 :rule true_elim :premises (@p147)) % 19.51/19.71 (step @p149 :rule cong :premises (@p148 @p142) :args (@t98)) % 19.51/19.72 (step @p150 :rule cong :premises (@p149) :args (@t99)) % 19.51/19.72 (step @p151 :rule cong :premises (@p123 @p150) :args ((=> @t92 @t99))) % 19.51/19.72 (step @p152 :rule eq-symm :args (@t95 @t91)) % 19.51/19.72 (step @p153 :rule cong :premises (@p152) :args (@t100)) % 19.51/19.72 (step @p154 :rule cong :premises (@p123 @p153) :args ((=> @t92 @t100))) % 19.51/19.72 (assume-push @p200 @t92) % 19.51/19.72 (step @p156 :rule instantiate :premises (@p200) :args ((@list @t90))) % 19.51/19.72 (step-pop @p201 :rule scope :premises (@p156)) % 19.51/19.72 (step @p157 :rule process_scope :premises (@p201) :args (@t100)) % 19.51/19.72 (step @p159 :rule eq_resolve :premises (@p157 @p154)) % 19.51/19.72 (step @p160 :rule eq_resolve :premises (@p159 @p151)) % 19.51/19.72 (step @p161 :rule implies_elim :premises (@p160)) % 19.51/19.72 (step @p162 :rule chain_m_resolution :premises (@p161 @p136) :args ((not @t101) @t64 (@list @t92))) % 19.51/19.72 (step @p163 :rule aci_norm :args ((= (or @t101 false) @t101))) % 19.51/19.72 (step @p164 :rule evaluate :args ((not true))) % 19.51/19.72 (step @p165 :rule eq-refl :args (@t103)) % 19.51/19.72 (step @p166 :rule refl :args (@t103)) % 19.51/19.72 (step @p167 :rule beta-reduce :args (@t104)) % 19.51/19.72 (step @p168 :rule cong :premises (@p167 @p166) :args (@t104)) % 19.51/19.72 (step @p169 :rule trans :premises (@p168 @p165)) % 19.51/19.72 (step @p170 :rule refl :args (@t102)) % 19.51/19.72 (step @p171 :rule ho_cong :premises (@p138 @p170)) % 19.51/19.72 (step @p172 :rule cong :premises (@p171 @p166) :args ((= @t105 @t103))) % 19.51/19.72 (step @p173 :rule trans :premises (@p172 @p169)) % 19.51/19.72 (step @p174 :rule true_elim :premises (@p173)) % 19.51/19.72 (step @p175 :rule beta-reduce :args (@t106)) % 19.51/19.72 (step @p176 :rule cong :premises (@p175 @p166) :args (@t106)) % 19.51/19.72 (step @p177 :rule trans :premises (@p176 @p165)) % 19.51/19.72 (step @p178 :rule ho_cong :premises (@p144 @p170)) % 19.51/19.72 (step @p179 :rule cong :premises (@p178 @p166) :args ((= @t107 @t103))) % 19.51/19.72 (step @p180 :rule trans :premises (@p179 @p177)) % 19.51/19.72 (step @p181 :rule true_elim :premises (@p180)) % 19.51/19.72 (step @p182 :rule cong :premises (@p181 @p174) :args (@t108)) % 19.51/19.72 (step @p183 :rule trans :premises (@p182 @p165)) % 19.51/19.72 (step @p184 :rule cong :premises (@p183) :args (@t109)) % 19.51/19.72 (step @p185 :rule trans :premises (@p184 @p164)) % 19.51/19.72 (step @p186 :rule refl :args (@t101)) % 19.51/19.72 (step @p187 :rule nary_cong :premises (@p186 @p185) :args (@t110)) % 19.51/19.72 (step @p188 :rule trans :premises (@p187 @p163)) % 19.51/19.72 ; trust TRUST THEORY_LEMMA % 19.51/19.72 (step @p189 :rule trust :premises () :args (@t110)) % 19.51/19.72 (step @p190 :rule eq_resolve :premises (@p189 @p188)) % 19.51/19.72 (step @p191 false :rule chain_m_resolution :premises (@p190 @p162) :args (false @t94 (@list @t101))) % 19.51/19.72 ) % 19.51/19.72 % SZS output end Proof % 19.51/19.72 % cvc5 exiting %------------------------------------------------------------------------------