%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET621^5 : 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 : 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 08:48:16 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 : SET621^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 16:05:03 EDT 2026 % 0.07/0.25 % CPUTime : % 0.15/0.33 %----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 "Xz" tptp.a)) % 0.15/0.36 (define @t2 () (@var "Z" (-> tptp.a Bool))) % 0.15/0.36 (define @t3 () (_ @t2 @t1)) % 0.15/0.36 (define @t4 () (@var "X" (-> tptp.a Bool))) % 0.15/0.36 (define @t5 () (_ @t4 @t1)) % 0.15/0.36 (define @t6 () (or @t5 @t3)) % 0.15/0.36 (define @t7 () (not @t6)) % 0.15/0.36 (define @t8 () (@var "Y" (-> tptp.a Bool))) % 0.15/0.36 (define @t9 () (_ @t8 @t1)) % 0.15/0.36 (define @t10 () (and @t9 @t7)) % 0.15/0.36 (define @t11 () (or @t9 @t3)) % 0.15/0.36 (define @t12 () (not @t11)) % 0.15/0.36 (define @t13 () (and @t5 @t12)) % 0.15/0.36 (define @t14 () (or @t13 @t10)) % 0.15/0.36 (define @t15 () (@list @t1)) % 0.15/0.36 (define @t16 () (lambda @t15 @t14)) % 0.15/0.36 (define @t17 () (@var "Xx" tptp.a)) % 0.15/0.36 (define @t18 () (_ @t2 @t17)) % 0.15/0.36 (define @t19 () (not @t18)) % 0.15/0.36 (define @t20 () (_ @t4 @t17)) % 0.15/0.36 (define @t21 () (not @t20)) % 0.15/0.36 (define @t22 () (_ @t8 @t17)) % 0.15/0.36 (define @t23 () (and @t22 @t21)) % 0.15/0.36 (define @t24 () (not @t22)) % 0.15/0.36 (define @t25 () (and @t20 @t24)) % 0.15/0.36 (define @t26 () (or @t25 @t23)) % 0.15/0.36 (define @t27 () (and @t26 @t19)) % 0.15/0.36 (define @t28 () (@list @t17)) % 0.15/0.36 (define @t29 () (lambda @t28 @t27)) % 0.15/0.36 (define @t30 () (= @t29 @t16)) % 0.15/0.36 (define @t31 () (@list @t4 @t8 @t2)) % 0.15/0.36 (define @t32 () (forall @t31 @t30)) % 0.15/0.36 (define @t33 () (not @t32)) % 0.15/0.36 (define @t34 () (_ @t2 @t1)) % 0.15/0.36 (define @t35 () (_ @t4 @t1)) % 0.15/0.36 (define @t36 () (_ @t8 @t1)) % 0.15/0.36 (define @t37 () (_ @t2 @t17)) % 0.15/0.36 (define @t38 () (_ @t4 @t17)) % 0.15/0.36 (define @t39 () (_ @t8 @t17)) % 0.15/0.36 (define @t40 () (forall @t31 (= (lambda @t28 (and (or (and @t38 (not @t39)) (and @t39 (not @t38))) (not @t37))) (lambda @t15 (or (and @t35 (not (or @t36 @t34))) (and @t36 (not (or @t35 @t34)))))))) % 0.15/0.36 (define @t41 () (@quantifiers_skolemize @t40 2)) % 0.15/0.36 (define @t42 () (@quantifiers_skolemize @t40 0)) % 0.15/0.36 (define @t43 () (_ @t42 @t17)) % 0.15/0.36 (define @t44 () (@quantifiers_skolemize @t40 1)) % 0.15/0.36 (define @t45 () (_ @t44 @t17)) % 0.15/0.36 (define @t46 () (lambda @t28 (and (or (and @t43 (not @t45)) (and @t45 (not @t43))) (not (_ @t41 @t17))))) % 0.15/0.36 (define @t47 () (@purify @t46)) % 0.15/0.36 (define @t48 () (_ @t41 @t1)) % 0.15/0.36 (define @t49 () (_ @t42 @t1)) % 0.15/0.36 (define @t50 () (_ @t44 @t1)) % 0.15/0.36 (define @t51 () (lambda @t15 (or (and @t49 (not (or @t50 @t48))) (and @t50 (not (or @t49 @t48)))))) % 0.15/0.36 (define @t52 () (@purify @t51)) % 0.15/0.36 (define @t53 () (= @t52 @t47)) % 0.15/0.36 (define @t54 () (not @t53)) % 0.15/0.36 (define @t55 () (not @t40)) % 0.15/0.36 (define @t56 () (= @t46 @t51)) % 0.15/0.36 (define @t57 () (not @t56)) % 0.15/0.36 (define @t58 () (@list true)) % 0.15/0.36 (define @t59 () (@const 0 tptp.a)) % 0.15/0.36 (define @t60 () (_ @t41 @t59)) % 0.15/0.36 (define @t61 () (_ @t42 @t59)) % 0.15/0.36 (define @t62 () (or @t61 @t60)) % 0.15/0.36 (define @t63 () (not @t62)) % 0.15/0.36 (define @t64 () (_ @t44 @t59)) % 0.15/0.36 (define @t65 () (and @t64 @t63)) % 0.15/0.36 (define @t66 () (or @t64 @t60)) % 0.15/0.36 (define @t67 () (not @t66)) % 0.15/0.36 (define @t68 () (and @t61 @t67)) % 0.15/0.36 (define @t69 () (or @t68 @t65)) % 0.15/0.36 (define @t70 () (not @t60)) % 0.15/0.36 (define @t71 () (not @t61)) % 0.15/0.36 (define @t72 () (and @t64 @t71)) % 0.15/0.36 (define @t73 () (not @t64)) % 0.15/0.36 (define @t74 () (and @t61 @t73)) % 0.15/0.36 (define @t75 () (or @t74 @t72)) % 0.15/0.36 (define @t76 () (and @t75 @t70)) % 0.15/0.36 (define @t77 () (= (_ @t46 @t59) @t76)) % 0.15/0.36 (define @t78 () (_ @t47 @t59)) % 0.15/0.36 (define @t79 () (= (_ @t51 @t59) @t69)) % 0.15/0.36 (define @t80 () (_ @t52 @t59)) % 0.15/0.36 (define @t81 () (= @t80 @t78)) % 0.15/0.36 (define @t82 () (not @t81)) % 0.15/0.36 (define @t83 () (or @t53 @t82)) % 0.15/0.36 (define @t84 () (= @t76 @t69)) % 0.15/0.36 (define @t85 () (not @t76)) % 0.15/0.36 (define @t86 () (not @t68)) % 0.15/0.36 (define @t87 () (not @t69)) % 0.15/0.36 (define @t88 () (not @t65)) % 0.15/0.36 (define @t89 () (not @t72)) % 0.15/0.36 (define @t90 () (not @t75)) % 0.15/0.36 (define @t91 () (not @t74)) % 0.15/0.36 (define @t92 () (@list @t64)) % 0.15/0.36 (define @t93 () (@list @t61)) % 0.15/0.36 (define @t94 () (@list true true)) % 0.15/0.36 (assume @p1 @t33) % 0.15/0.36 (assume @p2 true) % 0.15/0.36 (step @p3 :rule refl :args (@t34)) % 0.15/0.36 (step @p4 :rule refl :args (@t3)) % 0.15/0.36 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t3 @t34))) % 0.15/0.36 (step @p6 :rule symm :premises (@p5)) % 0.15/0.36 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.15/0.36 (step @p8 :rule refl :args (@t35)) % 0.15/0.36 (step @p9 :rule refl :args (@t5)) % 0.15/0.36 (step @p10 :rule cong :premises (@p9 @p8) :args ((= @t5 @t35))) % 0.15/0.36 (step @p11 :rule symm :premises (@p10)) % 0.15/0.36 (step @p12 :rule eq_resolve :premises (@p9 @p11)) % 0.15/0.36 (step @p13 :rule nary_cong :premises (@p12 @p7) :args (@t6)) % 0.15/0.36 (step @p14 :rule cong :premises (@p13) :args (@t7)) % 0.15/0.36 (step @p15 :rule refl :args (@t36)) % 0.15/0.36 (step @p16 :rule refl :args (@t9)) % 0.15/0.36 (step @p17 :rule cong :premises (@p16 @p15) :args ((= @t9 @t36))) % 0.15/0.36 (step @p18 :rule symm :premises (@p17)) % 0.15/0.36 (step @p19 :rule eq_resolve :premises (@p16 @p18)) % 0.15/0.36 (step @p20 :rule nary_cong :premises (@p19 @p14) :args (@t10)) % 0.15/0.36 (step @p21 :rule nary_cong :premises (@p19 @p7) :args (@t11)) % 0.15/0.36 (step @p22 :rule cong :premises (@p21) :args (@t12)) % 0.15/0.36 (step @p23 :rule nary_cong :premises (@p12 @p22) :args (@t13)) % 0.15/0.36 (step @p24 :rule nary_cong :premises (@p23 @p20) :args (@t14)) % 0.15/0.36 (step @p25 :rule cong :premises (@p24) :args (@t16)) % 0.15/0.36 (step @p26 :rule refl :args (@t37)) % 0.15/0.36 (step @p27 :rule refl :args (@t18)) % 0.15/0.36 (step @p28 :rule cong :premises (@p27 @p26) :args ((= @t18 @t37))) % 0.15/0.36 (step @p29 :rule symm :premises (@p28)) % 0.15/0.36 (step @p30 :rule eq_resolve :premises (@p27 @p29)) % 0.15/0.36 (step @p31 :rule cong :premises (@p30) :args (@t19)) % 0.15/0.36 (step @p32 :rule refl :args (@t38)) % 0.15/0.36 (step @p33 :rule refl :args (@t20)) % 0.15/0.36 (step @p34 :rule cong :premises (@p33 @p32) :args ((= @t20 @t38))) % 0.15/0.36 (step @p35 :rule symm :premises (@p34)) % 0.15/0.36 (step @p36 :rule eq_resolve :premises (@p33 @p35)) % 0.15/0.36 (step @p37 :rule cong :premises (@p36) :args (@t21)) % 0.15/0.36 (step @p38 :rule refl :args (@t39)) % 0.15/0.36 (step @p39 :rule refl :args (@t22)) % 0.15/0.36 (step @p40 :rule cong :premises (@p39 @p38) :args ((= @t22 @t39))) % 0.15/0.36 (step @p41 :rule symm :premises (@p40)) % 0.15/0.36 (step @p42 :rule eq_resolve :premises (@p39 @p41)) % 0.15/0.36 (step @p43 :rule nary_cong :premises (@p42 @p37) :args (@t23)) % 0.15/0.36 (step @p44 :rule cong :premises (@p42) :args (@t24)) % 0.15/0.36 (step @p45 :rule nary_cong :premises (@p36 @p44) :args (@t25)) % 0.15/0.36 (step @p46 :rule nary_cong :premises (@p45 @p43) :args (@t26)) % 0.15/0.36 (step @p47 :rule nary_cong :premises (@p46 @p31) :args (@t27)) % 0.15/0.36 (step @p48 :rule cong :premises (@p47) :args (@t29)) % 0.15/0.36 (step @p49 :rule cong :premises (@p48 @p25) :args (@t30)) % 0.15/0.36 (step @p50 :rule cong :premises (@p49) :args (@t32)) % 0.15/0.36 (step @p51 :rule cong :premises (@p50) :args (@t33)) % 0.15/0.36 (step @p52 :rule eq_resolve :premises (@p1 @p51)) % 0.15/0.36 (step @p53 :rule refl :args (@t54)) % 0.15/0.36 (step @p54 :rule bool-double-not-elim :args (@t40)) % 0.15/0.36 (step @p55 :rule nary_cong :premises (@p54 @p53) :args ((or (not @t55) @t54))) % 0.15/0.36 (step @p56 :rule eq-symm :args (@t47 @t52)) % 0.15/0.36 (step @p57 :rule eq-refl :args (@t51)) % 0.15/0.36 (step @p58 :rule skolem_intro :args (@t52)) % 0.15/0.36 (step @p59 :rule refl :args (@t51)) % 0.15/0.36 (step @p60 :rule cong :premises (@p59 @p58) :args ((= @t51 @t52))) % 0.15/0.36 (step @p61 :rule trans :premises (@p60 @p57)) % 0.15/0.36 (step @p62 :rule true_elim :premises (@p61)) % 0.15/0.36 (step @p63 :rule eq-refl :args (@t46)) % 0.15/0.36 (step @p64 :rule skolem_intro :args (@t47)) % 0.15/0.36 (step @p65 :rule refl :args (@t46)) % 0.15/0.36 (step @p66 :rule cong :premises (@p65 @p64) :args ((= @t46 @t47))) % 0.15/0.36 (step @p67 :rule trans :premises (@p66 @p63)) % 0.15/0.36 (step @p68 :rule true_elim :premises (@p67)) % 0.15/0.36 (step @p69 :rule cong :premises (@p68 @p62) :args (@t56)) % 0.15/0.36 (step @p70 :rule trans :premises (@p69 @p56)) % 0.15/0.36 (step @p71 :rule cong :premises (@p70) :args (@t57)) % 0.15/0.36 (step @p72 :rule refl :args (@t55)) % 0.15/0.36 (step @p73 :rule cong :premises (@p72 @p71) :args ((=> @t55 @t57))) % 0.15/0.36 (assume-push @p199 @t55) % 0.15/0.36 (step @p75 :rule skolemize :premises (@p52)) % 0.15/0.36 (step-pop @p200 :rule scope :premises (@p75)) % 0.15/0.36 (step @p76 :rule process_scope :premises (@p200) :args (@t57)) % 0.15/0.36 (step @p78 :rule eq_resolve :premises (@p76 @p73)) % 0.15/0.36 (step @p79 :rule implies_elim :premises (@p78)) % 0.15/0.36 (step @p80 :rule eq_resolve :premises (@p79 @p55)) % 0.15/0.36 (step @p81 :rule chain_m_resolution :premises (@p80 @p52) :args (@t54 @t58 (@list @t40))) % 0.15/0.36 (step @p82 :rule eq-symm :args (@t69 @t76)) % 0.15/0.36 (step @p83 :rule eq-refl :args (@t76)) % 0.15/0.36 (step @p84 :rule refl :args (@t76)) % 0.15/0.36 (step @p85 :rule beta-reduce :args (@t77)) % 0.15/0.36 (step @p86 :rule cong :premises (@p85 @p84) :args (@t77)) % 0.15/0.36 (step @p87 :rule trans :premises (@p86 @p83)) % 0.15/0.36 (step @p88 :rule refl :args (@t59)) % 0.15/0.36 (step @p89 :rule ho_cong :premises (@p64 @p88)) % 0.15/0.36 (step @p90 :rule cong :premises (@p89 @p84) :args ((= @t78 @t76))) % 0.15/0.36 (step @p91 :rule trans :premises (@p90 @p87)) % 0.15/0.36 (step @p92 :rule true_elim :premises (@p91)) % 0.15/0.36 (step @p93 :rule eq-refl :args (@t69)) % 0.15/0.36 (step @p94 :rule refl :args (@t69)) % 0.15/0.36 (step @p95 :rule beta-reduce :args (@t79)) % 0.15/0.36 (step @p96 :rule cong :premises (@p95 @p94) :args (@t79)) % 0.15/0.36 (step @p97 :rule trans :premises (@p96 @p93)) % 0.15/0.36 (step @p98 :rule ho_cong :premises (@p58 @p88)) % 0.15/0.36 (step @p99 :rule cong :premises (@p98 @p94) :args ((= @t80 @t69))) % 0.15/0.36 (step @p100 :rule trans :premises (@p99 @p97)) % 0.15/0.36 (step @p101 :rule true_elim :premises (@p100)) % 0.15/0.36 (step @p102 :rule cong :premises (@p101 @p92) :args (@t81)) % 0.15/0.36 (step @p103 :rule trans :premises (@p102 @p82)) % 0.15/0.36 (step @p104 :rule cong :premises (@p103) :args (@t82)) % 0.15/0.36 (step @p105 :rule refl :args (@t53)) % 0.15/0.36 (step @p106 :rule nary_cong :premises (@p105 @p104) :args (@t83)) % 0.15/0.36 ; WARNING: add trust step for TRUST % 0.15/0.36 ; trust TRUST THEORY_LEMMA % 0.15/0.36 (step @p107 :rule trust :premises () :args (@t83)) % 0.15/0.36 (step @p108 :rule eq_resolve :premises (@p107 @p106)) % 0.15/0.36 (step @p109 :rule chain_m_resolution :premises (@p108 @p81) :args ((not @t84) @t58 (@list @t53))) % 0.15/0.36 (step @p110 :rule cnf_or_neg :args (@t62 1)) % 0.15/0.36 (step @p111 :rule reordering :premises (@p110) :args ((or @t70 @t62))) % 0.15/0.36 (step @p112 :rule cnf_and_pos :args (@t76 1)) % 0.15/0.36 (step @p113 :rule reordering :premises (@p112) :args ((or @t70 @t85))) % 0.15/0.36 (step @p114 :rule cnf_or_neg :args (@t66 1)) % 0.15/0.36 (step @p115 :rule reordering :premises (@p114) :args ((or @t70 @t66))) % 0.15/0.36 (step @p116 :rule cnf_equiv_neg1 :args (@t84)) % 0.15/0.36 (step @p117 :rule reordering :premises (@p116) :args ((or @t76 @t69 @t84))) % 0.15/0.36 (step @p118 :rule cnf_and_pos :args (@t68 1)) % 0.15/0.36 (step @p119 :rule reordering :premises (@p118) :args ((or @t67 @t86))) % 0.15/0.36 (step @p120 :rule cnf_or_pos :args (@t69)) % 0.15/0.36 (step @p121 :rule reordering :premises (@p120) :args ((or @t68 @t65 @t87))) % 0.15/0.36 (step @p122 :rule chain_m_resolution :premises (@p121 @p119 @p117 @p109 @p115 @p113) :args ((or @t70 @t65) (@list true false true false true) (@list @t68 @t69 @t84 @t66 @t76))) % 0.15/0.36 (step @p123 :rule cnf_and_pos :args (@t65 1)) % 0.15/0.36 (step @p124 :rule reordering :premises (@p123) :args ((or @t63 @t88))) % 0.15/0.36 (step @p125 :rule chain_m_resolution :premises (@p124 @p122 @p111) :args (@t70 (@list false false) (@list @t65 @t62))) % 0.15/0.36 (step @p126 :rule cnf_and_pos :args (@t72 1)) % 0.15/0.36 (step @p127 :rule reordering :premises (@p126) :args ((or @t71 @t89))) % 0.15/0.36 (step @p128 :rule cnf_or_neg :args (@t62 0)) % 0.15/0.36 (step @p129 :rule reordering :premises (@p128) :args ((or @t71 @t62))) % 0.15/0.36 (step @p130 :rule bool-double-not-elim :args (@t64)) % 0.15/0.36 (step @p131 :rule refl :args (@t71)) % 0.15/0.36 (step @p132 :rule refl :args (@t74)) % 0.15/0.36 (step @p133 :rule nary_cong :premises (@p132 @p131 @p130) :args ((or @t74 @t71 (not @t73)))) % 0.15/0.36 (step @p134 :rule cnf_and_neg :args (@t74)) % 0.15/0.36 (step @p135 :rule eq_resolve :premises (@p134 @p133)) % 0.15/0.36 (step @p136 :rule reordering :premises (@p135) :args ((or @t64 @t74 @t71))) % 0.15/0.36 (step @p137 :rule cnf_or_neg :args (@t75 0)) % 0.15/0.36 (step @p138 :rule bool-double-not-elim :args (@t60)) % 0.15/0.36 (step @p139 :rule refl :args (@t90)) % 0.15/0.36 (step @p140 :rule nary_cong :premises (@p84 @p139 @p138) :args ((or @t76 @t90 (not @t70)))) % 0.15/0.36 (step @p141 :rule cnf_and_neg :args (@t76)) % 0.15/0.36 (step @p142 :rule eq_resolve :premises (@p141 @p140)) % 0.15/0.36 (step @p143 :rule reordering :premises (@p142) :args ((or @t60 @t76 @t90))) % 0.15/0.36 (step @p144 :rule cnf_or_pos :args (@t66)) % 0.15/0.36 (step @p145 :rule reordering :premises (@p144) :args ((or @t64 @t60 @t67))) % 0.15/0.36 (step @p146 :rule cnf_equiv_neg2 :args (@t84)) % 0.15/0.36 (step @p147 :rule bool-double-not-elim :args (@t66)) % 0.15/0.36 (step @p148 :rule refl :args (@t68)) % 0.15/0.36 (step @p149 :rule nary_cong :premises (@p148 @p131 @p147) :args ((or @t68 @t71 (not @t67)))) % 0.15/0.36 (step @p150 :rule cnf_and_neg :args (@t68)) % 0.15/0.36 (step @p151 :rule eq_resolve :premises (@p150 @p149)) % 0.15/0.36 (step @p152 :rule reordering :premises (@p151) :args ((or @t71 @t66 @t68))) % 0.15/0.36 (step @p153 :rule cnf_or_neg :args (@t69 0)) % 0.15/0.36 (step @p154 :rule chain_m_resolution :premises (@p153 @p152 @p146 @p109 @p145 @p143 @p137 @p136) :args ((or @t64 @t71 @t60) (@list false true true true false false false) (@list @t68 @t69 @t84 @t66 @t76 @t75 @t74))) % 0.15/0.36 (step @p155 :rule cnf_and_pos :args (@t74 1)) % 0.15/0.36 (step @p156 :rule reordering :premises (@p155) :args ((or @t73 @t91))) % 0.15/0.36 (step @p157 :rule cnf_or_neg :args (@t66 0)) % 0.15/0.36 (step @p158 :rule reordering :premises (@p157) :args ((or @t73 @t66))) % 0.15/0.36 (step @p159 :rule cnf_or_pos :args (@t75)) % 0.15/0.36 (step @p160 :rule reordering :premises (@p159) :args ((or @t74 @t72 @t90))) % 0.15/0.36 (step @p161 :rule cnf_and_pos :args (@t76 0)) % 0.15/0.36 (step @p162 :rule reordering :premises (@p161) :args ((or @t75 @t85))) % 0.15/0.36 (step @p163 :rule chain_m_resolution :premises (@p117 @p109 @p121 @p162 @p119 @p160 @p158 @p156 @p154 @p122 @p124 @p129 @p127) :args (@t71 (@list true true true true true false true false true true false true) (@list @t84 @t69 @t76 @t68 @t75 @t66 @t74 @t64 @t60 @t65 @t62 @t72))) % 0.15/0.36 (step @p164 :rule bool-double-not-elim :args (@t61)) % 0.15/0.36 (step @p165 :rule refl :args (@t73)) % 0.15/0.36 (step @p166 :rule refl :args (@t72)) % 0.15/0.36 (step @p167 :rule nary_cong :premises (@p166 @p165 @p164) :args ((or @t72 @t73 (not @t71)))) % 0.15/0.36 (step @p168 :rule cnf_and_neg :args (@t72)) % 0.15/0.36 (step @p169 :rule eq_resolve :premises (@p168 @p167)) % 0.15/0.36 (step @p170 :rule reordering :premises (@p169) :args ((or @t61 @t73 @t72))) % 0.15/0.36 (step @p171 :rule cnf_or_neg :args (@t75 1)) % 0.15/0.36 (step @p172 :rule cnf_or_pos :args (@t62)) % 0.15/0.36 (step @p173 :rule reordering :premises (@p172) :args ((or @t61 @t60 @t63))) % 0.15/0.36 (step @p174 :rule bool-double-not-elim :args (@t62)) % 0.15/0.36 (step @p175 :rule refl :args (@t65)) % 0.15/0.36 (step @p176 :rule nary_cong :premises (@p175 @p165 @p174) :args ((or @t65 @t73 (not @t63)))) % 0.15/0.36 (step @p177 :rule cnf_and_neg :args (@t65)) % 0.15/0.36 (step @p178 :rule eq_resolve :premises (@p177 @p176)) % 0.15/0.36 (step @p179 :rule reordering :premises (@p178) :args ((or @t73 @t62 @t65))) % 0.15/0.36 (step @p180 :rule cnf_or_neg :args (@t69 1)) % 0.15/0.36 (step @p181 :rule chain_m_resolution :premises (@p180 @p146 @p109 @p179 @p143 @p173 @p163 @p171 @p170 @p163) :args ((or @t73 @t60) (@list true true false false true true false false true) (@list @t69 @t84 @t65 @t76 @t62 @t61 @t75 @t72 @t61))) % 0.15/0.36 (step @p182 :rule chain_m_resolution :premises (@p181 @p125) :args (@t73 @t58 (@list @t60))) % 0.15/0.36 (step @p183 :rule cnf_and_pos :args (@t65 0)) % 0.15/0.36 (step @p184 :rule reordering :premises (@p183) :args ((or @t64 @t88))) % 0.15/0.36 (step @p185 :rule chain_m_resolution :premises (@p184 @p182) :args (@t88 @t58 @t92)) % 0.15/0.36 (step @p186 :rule cnf_and_pos :args (@t68 0)) % 0.15/0.36 (step @p187 :rule reordering :premises (@p186) :args ((or @t61 @t86))) % 0.15/0.36 (step @p188 :rule chain_m_resolution :premises (@p187 @p163) :args (@t86 @t58 @t93)) % 0.15/0.36 (step @p189 :rule chain_m_resolution :premises (@p121 @p188 @p185) :args (@t87 @t94 (@list @t68 @t65))) % 0.15/0.36 (step @p190 :rule cnf_and_pos :args (@t72 0)) % 0.15/0.36 (step @p191 :rule reordering :premises (@p190) :args ((or @t64 @t89))) % 0.15/0.36 (step @p192 :rule chain_m_resolution :premises (@p191 @p182) :args (@t89 @t58 @t92)) % 0.15/0.36 (step @p193 :rule cnf_and_pos :args (@t74 0)) % 0.15/0.36 (step @p194 :rule reordering :premises (@p193) :args ((or @t61 @t91))) % 0.15/0.36 (step @p195 :rule chain_m_resolution :premises (@p194 @p163) :args (@t91 @t58 @t93)) % 0.15/0.36 (step @p196 :rule chain_m_resolution :premises (@p160 @p195 @p192) :args (@t90 @t94 (@list @t74 @t72))) % 0.15/0.36 (step @p197 :rule chain_m_resolution :premises (@p162 @p196) :args (@t85 @t58 (@list @t75))) % 0.15/0.36 (step @p198 false :rule chain_m_resolution :premises (@p117 @p197 @p189 @p109) :args (false (@list true true true) (@list @t76 @t69 @t84))) % 0.15/0.36 ) % 0.15/0.36 % SZS output end Proof % 0.15/0.36 % cvc5 exiting %------------------------------------------------------------------------------