%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO024^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n013.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 09:11:48 AM UTC 2026 % Result : Theorem 0.38s 0.58s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO024^1 : TPTP v9.2.1. Released v3.7.0. % 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 : n013.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 23:51:45 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.50 %----Proving TH0 % 0.38/0.58 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.58 % SZS status Theorem % 0.38/0.58 % SZS output start Proof % 0.38/0.58 ( % 0.38/0.58 (define tptp.leibeq () (let ((_let_1 (@var "Y" (-> Bool Bool Bool)))) (let ((_let_2 (@var "P" (-> (-> Bool Bool Bool) Bool)))) (let ((_let_3 (@var "X" (-> Bool Bool Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (=> (_ _let_2 _let_3) (_ _let_2 _let_1)))))))) % 0.38/0.58 (define @t1 () (@var "Y" Bool)) % 0.38/0.58 (define @t2 () (@var "X" Bool)) % 0.38/0.58 (define @t3 () (lambda (@list @t2 @t1) (not (or (not @t2) (not @t1))))) % 0.38/0.58 (define @t4 () (@var "_lvar_1" Bool)) % 0.38/0.58 (define @t5 () (@var "_lvar_0" Bool)) % 0.38/0.58 (define @t6 () (lambda (@list @t5 @t4) (and @t5 @t4))) % 0.38/0.58 (define @t7 () (not (_ (_ tptp.leibeq @t6) @t3))) % 0.38/0.58 (define @t8 () (@var "Y" (-> Bool Bool Bool))) % 0.38/0.58 (define @t9 () (@var "P" (-> (-> Bool Bool Bool) Bool))) % 0.38/0.58 (define @t10 () (_ @t9 @t8)) % 0.38/0.58 (define @t11 () (@var "X" (-> Bool Bool Bool))) % 0.38/0.58 (define @t12 () (_ @t9 @t11)) % 0.38/0.58 (define @t13 () (@list @t9)) % 0.38/0.58 (define @t14 () (forall @t13 (=> @t12 @t10))) % 0.38/0.58 (define @t15 () (@list @t11 @t8)) % 0.38/0.58 (define @t16 () (lambda @t15 @t14)) % 0.38/0.58 (define @t17 () (@var "BOUND_VARIABLE_7518" Bool)) % 0.38/0.58 (define @t18 () (= @t17 false)) % 0.38/0.58 (define @t19 () (ite @t18 false true)) % 0.38/0.58 (define @t20 () (@var "BOUND_VARIABLE_7516" Bool)) % 0.38/0.58 (define @t21 () (= @t20 true)) % 0.38/0.58 (define @t22 () (@list @t20 @t17)) % 0.38/0.58 (define @t23 () (lambda @t22 (ite @t21 @t19 false))) % 0.38/0.58 (define @t24 () (not (_ @t9 @t23))) % 0.38/0.58 (define @t25 () (forall @t13 (or @t24 (_ @t9 @t3)))) % 0.38/0.58 (define @t26 () (_ @t9 @t8)) % 0.38/0.58 (define @t27 () (lambda (@list @t8) (forall @t13 (or @t24 @t26)))) % 0.38/0.58 (define @t28 () (_ @t9 @t11)) % 0.38/0.58 (define @t29 () (lambda @t15 (forall @t13 (or (not @t28) @t26)))) % 0.38/0.58 (define @t30 () (not @t12)) % 0.38/0.58 (define @t31 () (or @t30 @t10)) % 0.38/0.58 (define @t32 () (@purify @t3)) % 0.38/0.58 (define @t33 () (@quantifiers_skolemize @t25 0)) % 0.38/0.58 (define @t34 () (_ @t33 @t32)) % 0.38/0.58 (define @t35 () (@purify @t23)) % 0.38/0.58 (define @t36 () (_ @t33 @t35)) % 0.38/0.58 (define @t37 () (not @t36)) % 0.38/0.58 (define @t38 () (or @t37 @t34)) % 0.38/0.58 (define @t39 () (not @t38)) % 0.38/0.58 (define @t40 () (not @t25)) % 0.38/0.58 (define @t41 () (_ @t33 @t3)) % 0.38/0.58 (define @t42 () (not @t18)) % 0.38/0.58 (define @t43 () (_ @t33 @t23)) % 0.38/0.58 (define @t44 () (not @t43)) % 0.38/0.58 (define @t45 () (or @t44 @t41)) % 0.38/0.58 (define @t46 () (not @t45)) % 0.38/0.58 (define @t47 () (@list true)) % 0.38/0.58 (define @t48 () (@list @t38)) % 0.38/0.58 (define @t49 () (not @t34)) % 0.38/0.58 (define @t50 () (= @t32 @t35)) % 0.38/0.58 (define @t51 () (not @t50)) % 0.38/0.58 (define @t52 () (and @t49 @t50 @t36)) % 0.38/0.58 (define @t53 () (@const 0 Bool)) % 0.38/0.58 (define @t54 () (@purify @t53)) % 0.38/0.58 (define @t55 () (not @t54)) % 0.38/0.58 (define @t56 () (@const 1 Bool)) % 0.38/0.58 (define @t57 () (@purify @t56)) % 0.38/0.58 (define @t58 () (not @t57)) % 0.38/0.58 (define @t59 () (or @t58 @t55)) % 0.38/0.58 (define @t60 () (not @t59)) % 0.38/0.58 (define @t61 () (and @t57 @t54)) % 0.38/0.58 (define @t62 () (and @t56 @t53)) % 0.38/0.58 (define @t63 () (= @t53 false)) % 0.38/0.58 (define @t64 () (not @t63)) % 0.38/0.58 (define @t65 () (ite @t63 false true)) % 0.38/0.58 (define @t66 () (= @t56 true)) % 0.38/0.58 (define @t67 () (_ @t23 @t56 @t53)) % 0.38/0.58 (define @t68 () (_ @t35 @t56 @t53)) % 0.38/0.58 (define @t69 () (not (or (not @t56) (not @t53)))) % 0.38/0.58 (define @t70 () (_ @t3 @t56 @t53)) % 0.38/0.58 (define @t71 () (_ @t32 @t56 @t53)) % 0.38/0.58 (define @t72 () (= @t71 @t68)) % 0.38/0.58 (define @t73 () (not @t72)) % 0.38/0.58 (define @t74 () (or @t50 @t73)) % 0.38/0.58 (define @t75 () (= @t61 @t60)) % 0.38/0.58 (define @t76 () (not @t61)) % 0.38/0.58 (define @t77 () (@list @t75 @t59 @t61)) % 0.38/0.58 (define @t78 () (@list @t57)) % 0.38/0.58 (assume @p1 @t7) % 0.38/0.58 (assume @p2 true) % 0.38/0.58 (step @p3 (= tptp.leibeq @t16) :rule refl :args (@t16)) % 0.38/0.58 (step @p4 :rule beta-reduce :args ((= (_ @t27 @t3) @t25))) % 0.38/0.58 (step @p5 :rule refl :args (@t3)) % 0.38/0.58 (step @p6 :rule beta-reduce :args ((= (_ @t29 @t23) @t27))) % 0.38/0.58 ; WARNING: add trust step for TRUST_THEORY_REWRITE % 0.38/0.58 ; trust TRUST_THEORY_REWRITE % 0.38/0.58 (step @p7 :rule trust :premises () :args ((= @t6 @t23))) % 0.38/0.58 (step @p8 :rule refl :args (@t29)) % 0.38/0.58 (step @p9 :rule ho_cong :premises (@p8 @p7)) % 0.38/0.58 (step @p10 :rule trans :premises (@p9 @p6)) % 0.38/0.58 (step @p11 :rule ho_cong :premises (@p10 @p5)) % 0.38/0.58 (step @p12 :rule trans :premises (@p11 @p4)) % 0.38/0.58 (step @p13 :rule cong :premises (@p12) :args ((not (_ (_ @t29 @t6) @t3)))) % 0.38/0.58 (step @p14 :rule refl :args (@t6)) % 0.38/0.58 (step @p15 :rule refl :args (@t26)) % 0.38/0.58 (step @p16 :rule refl :args (@t10)) % 0.38/0.58 (step @p17 :rule cong :premises (@p16 @p15) :args ((= @t10 @t26))) % 0.38/0.58 (step @p18 :rule symm :premises (@p17)) % 0.38/0.58 (step @p19 :rule eq_resolve :premises (@p16 @p18)) % 0.38/0.58 (step @p20 :rule refl :args (@t28)) % 0.38/0.58 (step @p21 :rule refl :args (@t12)) % 0.38/0.58 (step @p22 :rule cong :premises (@p21 @p20) :args ((= @t12 @t28))) % 0.38/0.58 (step @p23 :rule symm :premises (@p22)) % 0.38/0.58 (step @p24 :rule eq_resolve :premises (@p21 @p23)) % 0.38/0.58 (step @p25 :rule cong :premises (@p24) :args (@t30)) % 0.38/0.58 (step @p26 :rule nary_cong :premises (@p25 @p19) :args (@t31)) % 0.38/0.58 (step @p27 :rule cong :premises (@p26) :args ((forall @t13 @t31))) % 0.38/0.58 (step @p28 :rule bool-impl-elim :args (@t12 @t10)) % 0.38/0.58 (step @p29 :rule cong :premises (@p28) :args (@t14)) % 0.38/0.58 (step @p30 :rule trans :premises (@p29 @p27)) % 0.38/0.58 (step @p31 :rule cong :premises (@p30) :args (@t16)) % 0.38/0.58 (step @p32 :rule trans :premises (@p3 @p31)) % 0.38/0.58 (step @p33 :rule ho_cong :premises (@p32 @p14)) % 0.38/0.58 (step @p34 :rule ho_cong :premises (@p33 @p5)) % 0.38/0.58 (step @p35 :rule cong :premises (@p34) :args (@t7)) % 0.38/0.58 (step @p36 :rule trans :premises (@p35 @p13)) % 0.38/0.58 (step @p37 :rule eq_resolve :premises (@p1 @p36)) % 0.38/0.58 (step @p38 :rule refl :args (@t39)) % 0.38/0.58 (step @p39 :rule bool-double-not-elim :args (@t25)) % 0.38/0.58 (step @p40 :rule nary_cong :premises (@p39 @p38) :args ((or (not @t40) @t39))) % 0.38/0.58 (step @p41 :rule eq-refl :args (@t3)) % 0.38/0.58 (step @p42 :rule skolem_intro :args (@t32)) % 0.38/0.58 (step @p43 :rule cong :premises (@p5 @p42) :args ((= @t3 @t32))) % 0.38/0.58 (step @p44 :rule trans :premises (@p43 @p41)) % 0.38/0.58 (step @p45 :rule true_elim :premises (@p44)) % 0.38/0.58 (step @p46 :rule cong :premises (@p45) :args (@t41)) % 0.38/0.58 (step @p47 :rule eq-refl :args (@t23)) % 0.38/0.58 ; trust TRUST_THEORY_REWRITE % 0.38/0.58 (step @p48 :rule trust :premises () :args ((= (lambda @t22 (and @t20 @t17)) @t23))) % 0.38/0.58 (step @p49 :rule bool-double-not-elim :args (@t17)) % 0.38/0.58 (step @p50 :rule bool-eq-false :args (@t17)) % 0.38/0.58 (step @p51 :rule cong :premises (@p50) :args (@t42)) % 0.38/0.58 (step @p52 :rule trans :premises (@p51 @p49)) % 0.38/0.58 (step @p53 :rule aci_norm :args ((= (and @t42 true) @t42))) % 0.38/0.58 (step @p54 :rule ite-then-false :args (@t18 true)) % 0.38/0.58 (step @p55 :rule trans :premises (@p54 @p53)) % 0.38/0.58 (step @p56 :rule trans :premises (@p55 @p52)) % 0.38/0.58 (step @p57 :rule bool-eq-true :args (@t20)) % 0.38/0.58 (step @p58 :rule nary_cong :premises (@p57 @p56) :args ((and @t21 @t19))) % 0.38/0.58 (step @p59 :rule ite-else-false :args (@t21 @t19)) % 0.38/0.58 (step @p60 :rule trans :premises (@p59 @p58)) % 0.38/0.58 (step @p61 :rule cong :premises (@p60) :args (@t23)) % 0.38/0.58 (step @p62 :rule trans :premises (@p61 @p48)) % 0.38/0.58 (step @p63 :rule refl :args (@t23)) % 0.38/0.58 (step @p64 :rule cong :premises (@p63 @p62) :args ((= @t23 @t23))) % 0.38/0.58 (step @p65 :rule trans :premises (@p64 @p47)) % 0.38/0.58 (step @p66 :rule skolem_intro :args (@t35)) % 0.38/0.58 (step @p67 :rule cong :premises (@p63 @p66) :args ((= @t23 @t35))) % 0.38/0.58 (step @p68 :rule trans :premises (@p67 @p65)) % 0.38/0.58 (step @p69 :rule true_elim :premises (@p68)) % 0.38/0.58 (step @p70 :rule cong :premises (@p69) :args (@t43)) % 0.38/0.58 (step @p71 :rule cong :premises (@p70) :args (@t44)) % 0.38/0.58 (step @p72 :rule nary_cong :premises (@p71 @p46) :args (@t45)) % 0.38/0.58 (step @p73 :rule cong :premises (@p72) :args (@t46)) % 0.38/0.58 (step @p74 :rule refl :args (@t40)) % 0.38/0.58 (step @p75 :rule cong :premises (@p74 @p73) :args ((=> @t40 @t46))) % 0.38/0.58 (assume-push @p225 @t40) % 0.38/0.58 (step @p77 :rule skolemize :premises (@p37)) % 0.38/0.58 (step-pop @p226 :rule scope :premises (@p77)) % 0.38/0.58 (step @p78 :rule process_scope :premises (@p226) :args (@t46)) % 0.38/0.58 (step @p80 :rule eq_resolve :premises (@p78 @p75)) % 0.38/0.58 (step @p81 :rule implies_elim :premises (@p80)) % 0.38/0.58 (step @p82 :rule eq_resolve :premises (@p81 @p40)) % 0.38/0.58 (step @p83 :rule chain_m_resolution :premises (@p82 @p37) :args (@t39 @t47 (@list @t25))) % 0.38/0.58 (step @p84 :rule bool-double-not-elim :args (@t36)) % 0.38/0.58 (step @p85 :rule refl :args (@t38)) % 0.38/0.58 (step @p86 :rule nary_cong :premises (@p85 @p84) :args ((or @t38 (not @t37)))) % 0.38/0.58 (step @p87 :rule cnf_or_neg :args (@t38 0)) % 0.38/0.58 (step @p88 :rule eq_resolve :premises (@p87 @p86)) % 0.38/0.58 (step @p89 :rule reordering :premises (@p88) :args ((or @t36 @t38))) % 0.38/0.58 (step @p90 :rule chain_m_resolution :premises (@p89 @p83) :args (@t36 @t47 @t48)) % 0.38/0.58 (step @p91 :rule cnf_or_neg :args (@t38 1)) % 0.38/0.58 (step @p92 :rule chain_m_resolution :premises (@p91 @p83) :args (@t49 @t47 @t48)) % 0.38/0.58 (step @p93 :rule refl :args (@t51)) % 0.38/0.58 (step @p94 :rule bool-double-not-elim :args (@t34)) % 0.38/0.58 (step @p95 :rule refl :args (@t37)) % 0.38/0.58 (step @p96 :rule nary_cong :premises (@p95 @p94 @p93) :args ((or @t37 (not @t49) @t51))) % 0.38/0.58 (assume-push @p227 @t49) % 0.38/0.58 (assume-push @p228 @t50) % 0.38/0.58 (assume-push @p229 @t36) % 0.38/0.58 (step @p100 :rule evaluate :args ((= true false))) % 0.38/0.58 (step @p101 :rule false_intro :premises (@p92)) % 0.38/0.58 (step @p102 :rule symm :premises (@p228)) % 0.38/0.58 (step @p103 :rule cong :premises (@p102) :args (@t36)) % 0.38/0.58 (step @p104 :rule true_intro :premises (@p90)) % 0.38/0.58 (step @p105 :rule symm :premises (@p104)) % 0.38/0.58 (step @p106 :rule trans :premises (@p105 @p103 @p101)) % 0.38/0.58 (step @p107 false :rule eq_resolve :premises (@p106 @p100)) % 0.38/0.58 (step-pop @p230 :rule scope :premises (@p107)) % 0.38/0.58 (step-pop @p231 :rule scope :premises (@p230)) % 0.38/0.58 (step-pop @p232 :rule scope :premises (@p231)) % 0.38/0.58 (step @p108 :rule process_scope :premises (@p232) :args (false)) % 0.38/0.58 (assume-push @p233 @t36) % 0.38/0.58 (assume-push @p234 @t49) % 0.38/0.58 (assume-push @p235 @t50) % 0.38/0.58 (step @p115 :rule and_intro :premises (@p92 @p235 @p90)) % 0.38/0.58 (step-pop @p236 :rule scope :premises (@p115)) % 0.38/0.58 (step-pop @p237 :rule scope :premises (@p236)) % 0.38/0.58 (step-pop @p238 :rule scope :premises (@p237)) % 0.38/0.58 (step @p116 :rule process_scope :premises (@p238) :args (@t52)) % 0.38/0.58 (step @p120 :rule implies_elim :premises (@p116)) % 0.38/0.58 (step @p121 :rule resolution :premises (@p120 @p108) :args (true @t52)) % 0.38/0.58 (step @p122 :rule not_and :premises (@p121)) % 0.38/0.58 (step @p123 :rule eq_resolve :premises (@p122 @p96)) % 0.38/0.58 (step @p124 :rule reordering :premises (@p123) :args ((or @t34 @t37 @t51))) % 0.38/0.58 (step @p125 :rule chain_m_resolution :premises (@p124 @p92 @p90) :args (@t51 (@list true false) (@list @t34 @t36))) % 0.38/0.58 (step @p126 :rule eq-symm :args (@t60 @t61)) % 0.38/0.58 (step @p127 :rule eq-refl :args (@t62)) % 0.38/0.58 (step @p128 :rule bool-double-not-elim :args (@t53)) % 0.38/0.58 (step @p129 :rule bool-eq-false :args (@t53)) % 0.38/0.58 (step @p130 :rule cong :premises (@p129) :args (@t64)) % 0.38/0.58 (step @p131 :rule trans :premises (@p130 @p128)) % 0.38/0.58 (step @p132 :rule aci_norm :args ((= (and @t64 true) @t64))) % 0.38/0.58 (step @p133 :rule ite-then-false :args (@t63 true)) % 0.38/0.58 (step @p134 :rule trans :premises (@p133 @p132)) % 0.38/0.58 (step @p135 :rule trans :premises (@p134 @p131)) % 0.38/0.58 (step @p136 :rule bool-eq-true :args (@t56)) % 0.38/0.58 (step @p137 :rule nary_cong :premises (@p136 @p135) :args ((and @t66 @t65))) % 0.38/0.58 (step @p138 :rule ite-else-false :args (@t66 @t65)) % 0.38/0.58 (step @p139 :rule trans :premises (@p138 @p137)) % 0.38/0.58 (step @p140 :rule beta-reduce :args ((= @t67 (ite @t66 @t65 false)))) % 0.38/0.58 (step @p141 :rule trans :premises (@p140 @p139)) % 0.38/0.58 (step @p142 :rule refl :args (@t62)) % 0.38/0.58 (step @p143 :rule cong :premises (@p142 @p141) :args ((= @t62 @t67))) % 0.38/0.58 (step @p144 :rule trans :premises (@p143 @p127)) % 0.38/0.58 (step @p145 :rule eq-symm :args (@t67 @t62)) % 0.38/0.58 (step @p146 :rule trans :premises (@p145 @p144)) % 0.38/0.58 (step @p147 :rule skolem_intro :args (@t54)) % 0.38/0.58 (step @p148 :rule skolem_intro :args (@t57)) % 0.38/0.58 (step @p149 :rule nary_cong :premises (@p148 @p147) :args (@t61)) % 0.38/0.58 (step @p150 :rule ho_cong :premises (@p66 @p148 @p147)) % 0.38/0.58 (step @p151 :rule cong :premises (@p150 @p149) :args ((= (_ @t35 @t57 @t54) @t61))) % 0.38/0.58 (step @p152 :rule trans :premises (@p151 @p146)) % 0.38/0.58 (step @p153 :rule true_elim :premises (@p152)) % 0.38/0.58 (step @p154 :rule eq-refl :args (@t53)) % 0.38/0.58 (step @p155 :rule refl :args (@t53)) % 0.38/0.58 (step @p156 :rule cong :premises (@p155 @p147) :args ((= @t53 @t54))) % 0.38/0.58 (step @p157 :rule trans :premises (@p156 @p154)) % 0.38/0.58 (step @p158 :rule true_elim :premises (@p157)) % 0.38/0.58 (step @p159 :rule eq-refl :args (@t56)) % 0.38/0.58 (step @p160 :rule refl :args (@t56)) % 0.38/0.58 (step @p161 :rule cong :premises (@p160 @p148) :args ((= @t56 @t57))) % 0.38/0.58 (step @p162 :rule trans :premises (@p161 @p159)) % 0.38/0.58 (step @p163 :rule true_elim :premises (@p162)) % 0.38/0.58 (step @p164 :rule cong :premises (@p163 @p158) :args (@t68)) % 0.38/0.58 (step @p165 :rule trans :premises (@p164 @p153)) % 0.38/0.58 (step @p166 :rule eq-refl :args (@t69)) % 0.38/0.58 (step @p167 :rule beta-reduce :args ((= @t70 @t69))) % 0.38/0.58 (step @p168 :rule refl :args (@t69)) % 0.38/0.58 (step @p169 :rule cong :premises (@p168 @p167) :args ((= @t69 @t70))) % 0.38/0.58 (step @p170 :rule trans :premises (@p169 @p166)) % 0.38/0.58 (step @p171 :rule eq-symm :args (@t70 @t69)) % 0.38/0.58 (step @p172 :rule trans :premises (@p171 @p170)) % 0.38/0.58 (step @p173 :rule cong :premises (@p147) :args (@t55)) % 0.38/0.58 (step @p174 :rule cong :premises (@p148) :args (@t58)) % 0.38/0.58 (step @p175 :rule nary_cong :premises (@p174 @p173) :args (@t59)) % 0.38/0.58 (step @p176 :rule cong :premises (@p175) :args (@t60)) % 0.38/0.58 (step @p177 :rule ho_cong :premises (@p42 @p148 @p147)) % 0.38/0.58 (step @p178 :rule cong :premises (@p177 @p176) :args ((= (_ @t32 @t57 @t54) @t60))) % 0.38/0.58 (step @p179 :rule trans :premises (@p178 @p172)) % 0.38/0.58 (step @p180 :rule true_elim :premises (@p179)) % 0.38/0.58 (step @p181 :rule cong :premises (@p163 @p158) :args (@t71)) % 0.38/0.58 (step @p182 :rule trans :premises (@p181 @p180)) % 0.38/0.58 (step @p183 :rule cong :premises (@p182 @p165) :args (@t72)) % 0.38/0.58 (step @p184 :rule trans :premises (@p183 @p126)) % 0.38/0.58 (step @p185 :rule cong :premises (@p184) :args (@t73)) % 0.38/0.58 (step @p186 :rule refl :args (@t50)) % 0.38/0.58 (step @p187 :rule nary_cong :premises (@p186 @p185) :args (@t74)) % 0.38/0.58 ; WARNING: add trust step for TRUST % 0.38/0.58 ; trust TRUST THEORY_LEMMA % 0.38/0.58 (step @p188 :rule trust :premises () :args (@t74)) % 0.38/0.58 (step @p189 :rule eq_resolve :premises (@p188 @p187)) % 0.38/0.58 (step @p190 :rule chain_m_resolution :premises (@p189 @p125) :args ((not @t75) @t47 (@list @t50))) % 0.38/0.58 (step @p191 :rule cnf_and_pos :args (@t61 1)) % 0.38/0.58 (step @p192 :rule reordering :premises (@p191) :args ((or @t54 @t76))) % 0.38/0.58 (step @p193 :rule bool-double-not-elim :args (@t54)) % 0.38/0.58 (step @p194 :rule refl :args (@t59)) % 0.38/0.58 (step @p195 :rule nary_cong :premises (@p194 @p193) :args ((or @t59 (not @t55)))) % 0.38/0.58 (step @p196 :rule cnf_or_neg :args (@t59 1)) % 0.38/0.58 (step @p197 :rule eq_resolve :premises (@p196 @p195)) % 0.38/0.58 (step @p198 :rule reordering :premises (@p197) :args ((or @t54 @t59))) % 0.38/0.58 (step @p199 :rule cnf_equiv_neg1 :args (@t75)) % 0.38/0.58 (step @p200 :rule reordering :premises (@p199) :args ((or @t61 @t60 @t75))) % 0.38/0.58 (step @p201 :rule chain_m_resolution :premises (@p200 @p190 @p198 @p192) :args (@t54 (@list true false true) @t77)) % 0.38/0.58 (step @p202 :rule cnf_and_neg :args (@t61)) % 0.38/0.58 (step @p203 :rule reordering :premises (@p202) :args ((or @t55 @t61 @t58))) % 0.38/0.58 (step @p204 :rule cnf_or_pos :args (@t59)) % 0.38/0.58 (step @p205 :rule reordering :premises (@p204) :args ((or @t55 @t58 @t60))) % 0.38/0.58 (step @p206 :rule bool-double-not-elim :args (@t59)) % 0.38/0.58 (step @p207 :rule refl :args (@t76)) % 0.38/0.58 (step @p208 :rule refl :args (@t75)) % 0.38/0.58 (step @p209 :rule nary_cong :premises (@p208 @p207 @p206) :args ((or @t75 @t76 (not @t60)))) % 0.38/0.58 (step @p210 :rule cnf_equiv_neg2 :args (@t75)) % 0.38/0.58 (step @p211 :rule eq_resolve :premises (@p210 @p209)) % 0.38/0.58 (step @p212 :rule reordering :premises (@p211) :args ((or @t59 @t75 @t76))) % 0.38/0.58 (step @p213 :rule chain_m_resolution :premises (@p212 @p190 @p205 @p203) :args ((or @t55 @t58) (@list true true false) @t77)) % 0.38/0.58 (step @p214 :rule chain_m_resolution :premises (@p213 @p201) :args (@t58 (@list false) (@list @t54))) % 0.38/0.58 (step @p215 :rule cnf_and_pos :args (@t61 0)) % 0.38/0.58 (step @p216 :rule reordering :premises (@p215) :args ((or @t57 @t76))) % 0.38/0.58 (step @p217 :rule chain_m_resolution :premises (@p216 @p214) :args (@t76 @t47 @t78)) % 0.38/0.58 (step @p218 :rule bool-double-not-elim :args (@t57)) % 0.38/0.58 (step @p219 :rule nary_cong :premises (@p194 @p218) :args ((or @t59 (not @t58)))) % 0.38/0.58 (step @p220 :rule cnf_or_neg :args (@t59 0)) % 0.38/0.58 (step @p221 :rule eq_resolve :premises (@p220 @p219)) % 0.38/0.58 (step @p222 :rule reordering :premises (@p221) :args ((or @t57 @t59))) % 0.38/0.58 (step @p223 :rule chain_m_resolution :premises (@p222 @p214) :args (@t59 @t47 @t78)) % 0.38/0.58 (step @p224 false :rule chain_m_resolution :premises (@p200 @p223 @p217 @p190) :args (false (@list false true true) (@list @t59 @t61 @t75))) % 0.38/0.58 ) % 0.38/0.58 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------