%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV169^5 : 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 : n012.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 0.15s 0.36s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SEV169^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 18:17:03 EDT 2026 % 0.07/0.25 % CPUTime : % 0.07/0.32 %----Proving TH0 % 0.15/0.36 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.15/0.36 % SZS status Theorem % 0.15/0.36 % SZS output start Proof % 0.15/0.36 ( % 0.15/0.36 (declare-sort tptp.a 0) % 0.15/0.36 (define @t1 () (@var "Xq" (-> (-> tptp.a tptp.a tptp.a) tptp.a))) % 0.15/0.36 (define @t2 () (@var "Xp" (-> (-> tptp.a tptp.a tptp.a) tptp.a))) % 0.15/0.36 (define @t3 () (= @t2 @t1)) % 0.15/0.36 (define @t4 () (@var "Xy" tptp.a)) % 0.15/0.36 (define @t5 () (@var "Xx" tptp.a)) % 0.15/0.36 (define @t6 () (@list @t5 @t4)) % 0.15/0.36 (define @t7 () (lambda @t6 @t4)) % 0.15/0.36 (define @t8 () (_ @t1 @t7)) % 0.15/0.36 (define @t9 () (_ @t2 @t7)) % 0.15/0.36 (define @t10 () (= @t9 @t8)) % 0.15/0.36 (define @t11 () (lambda @t6 @t5)) % 0.15/0.36 (define @t12 () (_ @t1 @t11)) % 0.15/0.36 (define @t13 () (_ @t2 @t11)) % 0.15/0.36 (define @t14 () (= @t13 @t12)) % 0.15/0.36 (define @t15 () (@var "Xg" (-> tptp.a tptp.a tptp.a))) % 0.15/0.36 (define @t16 () (_ (_ @t15 @t12) @t8)) % 0.15/0.36 (define @t17 () (@list @t15)) % 0.15/0.36 (define @t18 () (lambda @t17 @t16)) % 0.15/0.36 (define @t19 () (= @t1 @t18)) % 0.15/0.36 (define @t20 () (_ (_ @t15 @t13) @t9)) % 0.15/0.36 (define @t21 () (lambda @t17 @t20)) % 0.15/0.36 (define @t22 () (= @t2 @t21)) % 0.15/0.36 (define @t23 () (and @t22 @t19 @t14 @t10)) % 0.15/0.36 (define @t24 () (@list @t2 @t1)) % 0.15/0.36 (define @t25 () (forall @t24 (=> @t23 @t3))) % 0.15/0.36 (define @t26 () (not @t25)) % 0.15/0.36 (define @t27 () (_ @t1 @t7)) % 0.15/0.36 (define @t28 () (_ @t2 @t7)) % 0.15/0.36 (define @t29 () (not @t10)) % 0.15/0.36 (define @t30 () (_ @t1 @t11)) % 0.15/0.36 (define @t31 () (_ @t2 @t11)) % 0.15/0.36 (define @t32 () (not @t14)) % 0.15/0.36 (define @t33 () (_ @t15 @t30 @t27)) % 0.15/0.36 (define @t34 () (not @t19)) % 0.15/0.36 (define @t35 () (_ @t15 @t31 @t28)) % 0.15/0.36 (define @t36 () (not @t22)) % 0.15/0.36 (define @t37 () (or @t36 @t34 @t32 @t29 @t3)) % 0.15/0.36 (define @t38 () (or @t36 @t34 @t32 @t29)) % 0.15/0.36 (define @t39 () (forall @t24 (or (not (= @t2 (lambda @t17 @t35))) (not (= @t1 (lambda @t17 @t33))) (not (= @t31 @t30)) (not (= @t28 @t27)) @t3))) % 0.15/0.36 (define @t40 () (@quantifiers_skolemize @t39 1)) % 0.15/0.36 (define @t41 () (@quantifiers_skolemize @t39 0)) % 0.15/0.36 (define @t42 () (= @t41 @t40)) % 0.15/0.36 (define @t43 () (@purify @t7)) % 0.15/0.36 (define @t44 () (_ @t41 @t43)) % 0.15/0.36 (define @t45 () (_ @t40 @t43)) % 0.15/0.36 (define @t46 () (= @t45 @t44)) % 0.15/0.36 (define @t47 () (not @t46)) % 0.15/0.36 (define @t48 () (@purify @t11)) % 0.15/0.36 (define @t49 () (_ @t41 @t48)) % 0.15/0.36 (define @t50 () (_ @t40 @t48)) % 0.15/0.36 (define @t51 () (= @t50 @t49)) % 0.15/0.36 (define @t52 () (not @t51)) % 0.15/0.36 (define @t53 () (_ @t40 @t7)) % 0.15/0.36 (define @t54 () (_ @t40 @t11)) % 0.15/0.36 (define @t55 () (lambda @t17 (_ @t15 @t54 @t53))) % 0.15/0.36 (define @t56 () (@purify @t55)) % 0.15/0.36 (define @t57 () (= @t40 @t56)) % 0.15/0.36 (define @t58 () (not @t57)) % 0.15/0.36 (define @t59 () (_ @t41 @t7)) % 0.15/0.36 (define @t60 () (_ @t41 @t11)) % 0.15/0.36 (define @t61 () (lambda @t17 (_ @t15 @t60 @t59))) % 0.15/0.36 (define @t62 () (@purify @t61)) % 0.15/0.36 (define @t63 () (= @t41 @t62)) % 0.15/0.36 (define @t64 () (not @t63)) % 0.15/0.36 (define @t65 () (or @t64 @t58 @t52 @t47 @t42)) % 0.15/0.36 (define @t66 () (not @t65)) % 0.15/0.36 (define @t67 () (not @t39)) % 0.15/0.36 (define @t68 () (= @t59 @t53)) % 0.15/0.36 (define @t69 () (not @t68)) % 0.15/0.36 (define @t70 () (= @t60 @t54)) % 0.15/0.36 (define @t71 () (not @t70)) % 0.15/0.36 (define @t72 () (= @t40 @t55)) % 0.15/0.36 (define @t73 () (not @t72)) % 0.15/0.36 (define @t74 () (= @t41 @t61)) % 0.15/0.36 (define @t75 () (not @t74)) % 0.15/0.36 (define @t76 () (or @t75 @t73 @t71 @t69 @t42)) % 0.15/0.36 (define @t77 () (not @t76)) % 0.15/0.36 (define @t78 () (@list true)) % 0.15/0.36 (define @t79 () (@list @t65)) % 0.15/0.36 (define @t80 () (@const 0 (-> tptp.a tptp.a tptp.a))) % 0.15/0.36 (define @t81 () (_ @t40 @t80)) % 0.15/0.36 (define @t82 () (_ @t41 @t80)) % 0.15/0.36 (define @t83 () (= @t82 @t81)) % 0.15/0.36 (define @t84 () (not @t83)) % 0.15/0.36 (define @t85 () (_ @t80 @t54 @t53)) % 0.15/0.36 (define @t86 () (= @t81 @t85)) % 0.15/0.36 (define @t87 () (=> @t57 @t86)) % 0.15/0.36 (define @t88 () (= @t81 (_ @t80 @t50 @t45))) % 0.15/0.36 (define @t89 () (@list false)) % 0.15/0.36 (define @t90 () (_ @t80 @t60 @t59)) % 0.15/0.36 (define @t91 () (= @t82 @t90)) % 0.15/0.36 (define @t92 () (=> @t63 @t91)) % 0.15/0.36 (define @t93 () (_ @t80 @t49 @t44)) % 0.15/0.36 (define @t94 () (= @t82 @t93)) % 0.15/0.36 (define @t95 () (not @t94)) % 0.15/0.36 (define @t96 () (not @t88)) % 0.15/0.36 (define @t97 () (and @t46 @t51 @t84 @t88)) % 0.15/0.36 (assume @p1 @t26) % 0.15/0.36 (assume @p2 true) % 0.15/0.36 (step @p3 :rule refl :args (@t3)) % 0.15/0.36 (step @p4 :rule refl :args (@t27)) % 0.15/0.36 (step @p5 :rule refl :args (@t8)) % 0.15/0.36 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t8 @t27))) % 0.15/0.36 (step @p7 :rule symm :premises (@p6)) % 0.15/0.36 (step @p8 :rule eq_resolve :premises (@p5 @p7)) % 0.15/0.36 (step @p9 :rule refl :args (@t28)) % 0.15/0.36 (step @p10 :rule refl :args (@t9)) % 0.15/0.36 (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t9 @t28))) % 0.15/0.36 (step @p12 :rule symm :premises (@p11)) % 0.15/0.36 (step @p13 :rule eq_resolve :premises (@p10 @p12)) % 0.15/0.36 (step @p14 :rule cong :premises (@p13 @p8) :args (@t10)) % 0.15/0.36 (step @p15 :rule cong :premises (@p14) :args (@t29)) % 0.15/0.36 (step @p16 :rule refl :args (@t30)) % 0.15/0.36 (step @p17 :rule refl :args (@t12)) % 0.15/0.36 (step @p18 :rule cong :premises (@p17 @p16) :args ((= @t12 @t30))) % 0.15/0.36 (step @p19 :rule symm :premises (@p18)) % 0.15/0.36 (step @p20 :rule eq_resolve :premises (@p17 @p19)) % 0.15/0.36 (step @p21 :rule refl :args (@t31)) % 0.15/0.36 (step @p22 :rule refl :args (@t13)) % 0.15/0.36 (step @p23 :rule cong :premises (@p22 @p21) :args ((= @t13 @t31))) % 0.15/0.36 (step @p24 :rule symm :premises (@p23)) % 0.15/0.36 (step @p25 :rule eq_resolve :premises (@p22 @p24)) % 0.15/0.36 (step @p26 :rule cong :premises (@p25 @p20) :args (@t14)) % 0.15/0.36 (step @p27 :rule cong :premises (@p26) :args (@t32)) % 0.15/0.36 (step @p28 :rule refl :args ((_ @t15 @t12 @t8))) % 0.15/0.36 (step @p29 :rule cong :premises (@p16 @p4) :args (@t33)) % 0.15/0.36 (step @p30 :rule trans :premises (@p29 @p28)) % 0.15/0.36 (step @p31 :rule refl :args (@t15)) % 0.15/0.36 (step @p32 :rule ho_cong :premises (@p31 @p16)) % 0.15/0.36 (step @p33 :rule ho_cong :premises (@p32 @p4)) % 0.15/0.36 (step @p34 :rule cong :premises (@p33 @p30) :args ((= (_ (_ @t15 @t30) @t27) @t33))) % 0.15/0.36 (step @p35 :rule symm :premises (@p34)) % 0.15/0.36 (step @p36 :rule refl :args (@t16)) % 0.15/0.36 (step @p37 :rule eq_resolve :premises (@p36 @p35)) % 0.15/0.36 (step @p38 :rule ho_cong :premises (@p31 @p20)) % 0.15/0.36 (step @p39 :rule ho_cong :premises (@p38 @p8)) % 0.15/0.36 (step @p40 :rule trans :premises (@p39 @p37)) % 0.15/0.36 (step @p41 :rule cong :premises (@p40) :args (@t18)) % 0.15/0.36 (step @p42 :rule refl :args (@t1)) % 0.15/0.36 (step @p43 :rule cong :premises (@p42 @p41) :args (@t19)) % 0.15/0.36 (step @p44 :rule cong :premises (@p43) :args (@t34)) % 0.15/0.36 (step @p45 :rule refl :args ((_ @t15 @t13 @t9))) % 0.15/0.36 (step @p46 :rule cong :premises (@p21 @p9) :args (@t35)) % 0.15/0.36 (step @p47 :rule trans :premises (@p46 @p45)) % 0.15/0.36 (step @p48 :rule ho_cong :premises (@p31 @p21)) % 0.15/0.36 (step @p49 :rule ho_cong :premises (@p48 @p9)) % 0.15/0.36 (step @p50 :rule cong :premises (@p49 @p47) :args ((= (_ (_ @t15 @t31) @t28) @t35))) % 0.15/0.36 (step @p51 :rule symm :premises (@p50)) % 0.15/0.36 (step @p52 :rule refl :args (@t20)) % 0.15/0.36 (step @p53 :rule eq_resolve :premises (@p52 @p51)) % 0.15/0.36 (step @p54 :rule ho_cong :premises (@p31 @p25)) % 0.15/0.36 (step @p55 :rule ho_cong :premises (@p54 @p13)) % 0.15/0.36 (step @p56 :rule trans :premises (@p55 @p53)) % 0.15/0.36 (step @p57 :rule cong :premises (@p56) :args (@t21)) % 0.15/0.36 (step @p58 :rule refl :args (@t2)) % 0.15/0.36 (step @p59 :rule cong :premises (@p58 @p57) :args (@t22)) % 0.15/0.36 (step @p60 :rule cong :premises (@p59) :args (@t36)) % 0.15/0.36 (step @p61 :rule nary_cong :premises (@p60 @p44 @p27 @p15 @p3) :args (@t37)) % 0.15/0.36 (step @p62 :rule cong :premises (@p61) :args ((forall @t24 @t37))) % 0.15/0.36 (step @p63 :rule aci_norm :args ((= (or @t38 @t3) @t37))) % 0.15/0.36 (step @p64 :rule aci_norm :args ((= (or @t36 (or @t34 (or @t32 @t29))) @t38))) % 0.15/0.36 (step @p65 :rule bool-and-de-morgan :args (@t14 @t10 true)) % 0.15/0.36 (step @p66 :rule refl :args (@t34)) % 0.15/0.36 (step @p67 :rule nary_cong :premises (@p66 @p65) :args ((or @t34 (not (and @t14 @t10))))) % 0.15/0.36 (step @p68 :rule bool-and-de-morgan :args (@t19 @t14 (and @t10))) % 0.15/0.36 (step @p69 :rule trans :premises (@p68 @p67)) % 0.15/0.36 (step @p70 :rule refl :args (@t36)) % 0.15/0.36 (step @p71 :rule nary_cong :premises (@p70 @p69) :args ((or @t36 (not (and @t19 @t14 @t10))))) % 0.15/0.36 (step @p72 :rule bool-and-de-morgan :args (@t22 @t19 (and @t14 @t10))) % 0.15/0.36 (step @p73 :rule trans :premises (@p72 @p71)) % 0.15/0.36 (step @p74 :rule trans :premises (@p73 @p64)) % 0.15/0.36 (step @p75 :rule nary_cong :premises (@p74 @p3) :args ((or (not @t23) @t3))) % 0.15/0.36 (step @p76 :rule trans :premises (@p75 @p63)) % 0.15/0.36 (step @p77 :rule bool-impl-elim :args (@t23 @t3)) % 0.15/0.36 (step @p78 :rule trans :premises (@p77 @p76)) % 0.15/0.36 (step @p79 :rule cong :premises (@p78) :args (@t25)) % 0.15/0.36 (step @p80 :rule trans :premises (@p79 @p62)) % 0.15/0.36 (step @p81 :rule cong :premises (@p80) :args (@t26)) % 0.15/0.36 (step @p82 :rule eq_resolve :premises (@p1 @p81)) % 0.15/0.36 (step @p83 :rule refl :args (@t66)) % 0.15/0.36 (step @p84 :rule bool-double-not-elim :args (@t39)) % 0.15/0.36 (step @p85 :rule nary_cong :premises (@p84 @p83) :args ((or (not @t67) @t66))) % 0.15/0.36 (step @p86 :rule refl :args (@t42)) % 0.15/0.36 (step @p87 :rule eq-symm :args (@t44 @t45)) % 0.15/0.36 (step @p88 :rule eq-refl :args (@t7)) % 0.15/0.36 (step @p89 :rule skolem_intro :args (@t43)) % 0.15/0.36 (step @p90 :rule refl :args (@t7)) % 0.15/0.36 (step @p91 :rule cong :premises (@p90 @p89) :args ((= @t7 @t43))) % 0.15/0.36 (step @p92 :rule trans :premises (@p91 @p88)) % 0.15/0.36 (step @p93 :rule true_elim :premises (@p92)) % 0.15/0.36 (step @p94 :rule cong :premises (@p93) :args (@t53)) % 0.15/0.36 (step @p95 :rule cong :premises (@p93) :args (@t59)) % 0.15/0.36 (step @p96 :rule cong :premises (@p95 @p94) :args (@t68)) % 0.15/0.36 (step @p97 :rule trans :premises (@p96 @p87)) % 0.15/0.36 (step @p98 :rule cong :premises (@p97) :args (@t69)) % 0.15/0.36 (step @p99 :rule eq-symm :args (@t49 @t50)) % 0.15/0.36 (step @p100 :rule eq-refl :args (@t11)) % 0.15/0.36 (step @p101 :rule skolem_intro :args (@t48)) % 0.15/0.36 (step @p102 :rule refl :args (@t11)) % 0.15/0.36 (step @p103 :rule cong :premises (@p102 @p101) :args ((= @t11 @t48))) % 0.15/0.36 (step @p104 :rule trans :premises (@p103 @p100)) % 0.15/0.36 (step @p105 :rule true_elim :premises (@p104)) % 0.15/0.36 (step @p106 :rule cong :premises (@p105) :args (@t54)) % 0.15/0.36 (step @p107 :rule cong :premises (@p105) :args (@t60)) % 0.15/0.36 (step @p108 :rule cong :premises (@p107 @p106) :args (@t70)) % 0.15/0.36 (step @p109 :rule trans :premises (@p108 @p99)) % 0.15/0.36 (step @p110 :rule cong :premises (@p109) :args (@t71)) % 0.15/0.36 (step @p111 :rule eq-refl :args (@t55)) % 0.15/0.36 (step @p112 :rule skolem_intro :args (@t56)) % 0.15/0.36 (step @p113 :rule refl :args (@t55)) % 0.15/0.36 (step @p114 :rule cong :premises (@p113 @p112) :args ((= @t55 @t56))) % 0.15/0.36 (step @p115 :rule trans :premises (@p114 @p111)) % 0.15/0.36 (step @p116 :rule true_elim :premises (@p115)) % 0.15/0.36 (step @p117 :rule refl :args (@t40)) % 0.15/0.36 (step @p118 :rule cong :premises (@p117 @p116) :args (@t72)) % 0.15/0.36 (step @p119 :rule cong :premises (@p118) :args (@t73)) % 0.15/0.36 (step @p120 :rule eq-refl :args (@t61)) % 0.15/0.36 (step @p121 :rule skolem_intro :args (@t62)) % 0.15/0.36 (step @p122 :rule refl :args (@t61)) % 0.15/0.36 (step @p123 :rule cong :premises (@p122 @p121) :args ((= @t61 @t62))) % 0.15/0.36 (step @p124 :rule trans :premises (@p123 @p120)) % 0.15/0.36 (step @p125 :rule true_elim :premises (@p124)) % 0.15/0.36 (step @p126 :rule refl :args (@t41)) % 0.15/0.36 (step @p127 :rule cong :premises (@p126 @p125) :args (@t74)) % 0.15/0.36 (step @p128 :rule cong :premises (@p127) :args (@t75)) % 0.15/0.36 (step @p129 :rule nary_cong :premises (@p128 @p119 @p110 @p98 @p86) :args (@t76)) % 0.15/0.36 (step @p130 :rule cong :premises (@p129) :args (@t77)) % 0.15/0.36 (step @p131 :rule refl :args (@t67)) % 0.15/0.36 (step @p132 :rule cong :premises (@p131 @p130) :args ((=> @t67 @t77))) % 0.15/0.36 (assume-push @p217 @t67) % 0.15/0.36 (step @p134 :rule skolemize :premises (@p82)) % 0.15/0.36 (step-pop @p218 :rule scope :premises (@p134)) % 0.15/0.36 (step @p135 :rule process_scope :premises (@p218) :args (@t77)) % 0.15/0.36 (step @p137 :rule eq_resolve :premises (@p135 @p132)) % 0.15/0.36 (step @p138 :rule implies_elim :premises (@p137)) % 0.15/0.36 (step @p139 :rule eq_resolve :premises (@p138 @p85)) % 0.15/0.36 (step @p140 :rule chain_m_resolution :premises (@p139 @p82) :args (@t66 @t78 (@list @t39))) % 0.15/0.36 (step @p141 :rule bool-double-not-elim :args (@t51)) % 0.15/0.36 (step @p142 :rule refl :args (@t65)) % 0.15/0.36 (step @p143 :rule nary_cong :premises (@p142 @p141) :args ((or @t65 (not @t52)))) % 0.15/0.36 (step @p144 :rule cnf_or_neg :args (@t65 2)) % 0.15/0.36 (step @p145 :rule eq_resolve :premises (@p144 @p143)) % 0.15/0.36 (step @p146 :rule reordering :premises (@p145) :args ((or @t51 @t65))) % 0.15/0.36 (step @p147 :rule chain_m_resolution :premises (@p146 @p140) :args (@t51 @t78 @t79)) % 0.15/0.36 (step @p148 :rule bool-double-not-elim :args (@t46)) % 0.15/0.36 (step @p149 :rule nary_cong :premises (@p142 @p148) :args ((or @t65 (not @t47)))) % 0.15/0.36 (step @p150 :rule cnf_or_neg :args (@t65 3)) % 0.15/0.36 (step @p151 :rule eq_resolve :premises (@p150 @p149)) % 0.15/0.36 (step @p152 :rule reordering :premises (@p151) :args ((or @t46 @t65))) % 0.15/0.36 (step @p153 :rule chain_m_resolution :premises (@p152 @p140) :args (@t46 @t78 @t79)) % 0.15/0.36 (step @p154 :rule cnf_or_neg :args (@t65 4)) % 0.15/0.36 (step @p155 :rule chain_m_resolution :premises (@p154 @p140) :args ((not @t42) @t78 @t79)) % 0.15/0.36 ; WARNING: add trust step for TRUST % 0.15/0.36 ; trust TRUST THEORY_LEMMA % 0.15/0.36 (step @p156 :rule trust :premises () :args ((or @t42 @t84))) % 0.15/0.36 (step @p157 :rule chain_m_resolution :premises (@p156 @p155) :args (@t84 @t78 (@list @t42))) % 0.15/0.36 (step @p158 :rule bool-double-not-elim :args (@t57)) % 0.15/0.36 (step @p159 :rule nary_cong :premises (@p142 @p158) :args ((or @t65 (not @t58)))) % 0.15/0.36 (step @p160 :rule cnf_or_neg :args (@t65 1)) % 0.15/0.36 (step @p161 :rule eq_resolve :premises (@p160 @p159)) % 0.15/0.36 (step @p162 :rule reordering :premises (@p161) :args ((or @t57 @t65))) % 0.15/0.36 (step @p163 :rule chain_m_resolution :premises (@p162 @p140) :args (@t57 @t78 @t79)) % 0.15/0.36 (step @p164 :rule cong :premises (@p106 @p94) :args (@t85)) % 0.15/0.36 (step @p165 :rule refl :args (@t81)) % 0.15/0.36 (step @p166 :rule cong :premises (@p165 @p164) :args (@t86)) % 0.15/0.36 (step @p167 :rule refl :args (@t57)) % 0.15/0.36 (step @p168 :rule cong :premises (@p167 @p166) :args (@t87)) % 0.15/0.36 ; trust TRUST THEORY_LEMMA % 0.15/0.36 (step @p169 :rule trust :premises () :args (@t87)) % 0.15/0.36 (step @p170 :rule eq_resolve :premises (@p169 @p168)) % 0.15/0.36 (step @p171 :rule implies_elim :premises (@p170)) % 0.15/0.36 (step @p172 :rule chain_m_resolution :premises (@p171 @p163) :args (@t88 @t89 (@list @t57))) % 0.15/0.36 (step @p173 :rule bool-double-not-elim :args (@t63)) % 0.15/0.36 (step @p174 :rule nary_cong :premises (@p142 @p173) :args ((or @t65 (not @t64)))) % 0.15/0.36 (step @p175 :rule cnf_or_neg :args (@t65 0)) % 0.15/0.36 (step @p176 :rule eq_resolve :premises (@p175 @p174)) % 0.15/0.36 (step @p177 :rule reordering :premises (@p176) :args ((or @t63 @t65))) % 0.15/0.36 (step @p178 :rule chain_m_resolution :premises (@p177 @p140) :args (@t63 @t78 @t79)) % 0.15/0.36 (step @p179 :rule cong :premises (@p107 @p95) :args (@t90)) % 0.15/0.36 (step @p180 :rule refl :args (@t82)) % 0.15/0.36 (step @p181 :rule cong :premises (@p180 @p179) :args (@t91)) % 0.15/0.36 (step @p182 :rule refl :args (@t63)) % 0.15/0.36 (step @p183 :rule cong :premises (@p182 @p181) :args (@t92)) % 0.15/0.36 ; trust TRUST THEORY_LEMMA % 0.15/0.36 (step @p184 :rule trust :premises () :args (@t92)) % 0.15/0.36 (step @p185 :rule eq_resolve :premises (@p184 @p183)) % 0.15/0.36 (step @p186 :rule implies_elim :premises (@p185)) % 0.15/0.36 (step @p187 :rule chain_m_resolution :premises (@p186 @p178) :args (@t94 @t89 (@list @t63))) % 0.15/0.36 (step @p188 :rule refl :args (@t95)) % 0.15/0.36 (step @p189 :rule refl :args (@t96)) % 0.15/0.36 (step @p190 :rule bool-double-not-elim :args (@t83)) % 0.15/0.36 (step @p191 :rule refl :args (@t52)) % 0.15/0.36 (step @p192 :rule refl :args (@t47)) % 0.15/0.36 (step @p193 :rule nary_cong :premises (@p192 @p191 @p190 @p189 @p188) :args ((or @t47 @t52 (not @t84) @t96 @t95))) % 0.15/0.36 (assume-push @p219 @t46) % 0.15/0.36 (assume-push @p220 @t51) % 0.15/0.36 (assume-push @p221 @t84) % 0.15/0.36 (assume-push @p222 @t88) % 0.15/0.36 (step @p198 :rule false_intro :premises (@p157)) % 0.15/0.36 (step @p199 :rule symm :premises (@p172)) % 0.15/0.36 (step @p200 :rule symm :premises (@p153)) % 0.15/0.36 (step @p201 :rule symm :premises (@p147)) % 0.15/0.36 (step @p202 :rule cong :premises (@p201 @p200) :args (@t93)) % 0.15/0.36 (step @p203 :rule trans :premises (@p202 @p199)) % 0.15/0.36 (step @p204 :rule cong :premises (@p180 @p203) :args (@t94)) % 0.15/0.36 (step @p205 :rule trans :premises (@p204 @p198)) % 0.15/0.36 (step @p206 :rule false_elim :premises (@p205)) % 0.15/0.36 (step-pop @p223 :rule scope :premises (@p206)) % 0.15/0.36 (step-pop @p224 :rule scope :premises (@p223)) % 0.15/0.36 (step-pop @p225 :rule scope :premises (@p224)) % 0.15/0.36 (step-pop @p226 :rule scope :premises (@p225)) % 0.15/0.36 (step @p207 :rule process_scope :premises (@p226) :args (@t95)) % 0.15/0.36 (step @p212 :rule implies_elim :premises (@p207)) % 0.15/0.36 (step @p213 :rule cnf_and_neg :args (@t97)) % 0.15/0.36 (step @p214 :rule resolution :premises (@p213 @p212) :args (true @t97)) % 0.15/0.36 (step @p215 :rule eq_resolve :premises (@p214 @p193)) % 0.15/0.36 (step @p216 false :rule chain_m_resolution :premises (@p215 @p187 @p172 @p157 @p153 @p147) :args (false (@list false false true false false) (@list @t94 @t88 @t83 @t46 @t51))) % 0.15/0.36 ) % 0.15/0.36 % SZS output end Proof % 0.15/0.36 % cvc5 exiting %------------------------------------------------------------------------------