%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO304^5 : 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 09:12:24 AM UTC 2026 % Result : Theorem 0.16s 0.40s % Output : Proof 0.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SYO304^5 : 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 % 0.09/0.25 % Computer : n012.cluster.edu % 0.09/0.25 % Model : x86_64 x86_64 % 0.09/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.25 % Memory : 8042.1875MB % 0.09/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.09/0.25 % CPULimit : 300 % 0.09/0.25 % WCLimit : 300 % 0.09/0.25 % DateTime : Wed Jun 3 00:02:48 EDT 2026 % 0.09/0.25 % CPUTime : % 0.16/0.33 %----Proving TH0 % 0.16/0.40 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.16/0.40 % SZS status Theorem % 0.16/0.40 % SZS output start Proof % 0.16/0.40 ( % 0.16/0.40 (declare-sort tptp.a 0) % 0.16/0.40 (define @t1 () (@var "Y" tptp.a)) % 0.16/0.40 (define @t2 () (@var "X" tptp.a)) % 0.16/0.40 (define @t3 () (@list @t2 @t1)) % 0.16/0.40 (define @t4 () (lambda @t3 (= @t2 @t1))) % 0.16/0.40 (define @t5 () (@var "Xq" (-> (-> tptp.a tptp.a Bool) Bool))) % 0.16/0.40 (define @t6 () (_ @t5 @t4)) % 0.16/0.40 (define @t7 () (@var "Xq0" (-> tptp.a Bool))) % 0.16/0.40 (define @t8 () (_ @t7 @t1)) % 0.16/0.40 (define @t9 () (_ @t7 @t2)) % 0.16/0.40 (define @t10 () (@list @t7)) % 0.16/0.40 (define @t11 () (forall @t10 (=> @t9 @t8))) % 0.16/0.40 (define @t12 () (lambda @t3 @t11)) % 0.16/0.40 (define @t13 () (=> (_ @t5 @t12) @t6)) % 0.16/0.40 (define @t14 () (@list @t5)) % 0.16/0.40 (define @t15 () (forall @t14 @t13)) % 0.16/0.40 (define @t16 () (not @t15)) % 0.16/0.40 (define @t17 () (_ @t5 @t4)) % 0.16/0.40 (define @t18 () (not @t9)) % 0.16/0.40 (define @t19 () (or @t18 @t8)) % 0.16/0.40 (define @t20 () (forall @t10 @t19)) % 0.16/0.40 (define @t21 () (lambda @t3 @t20)) % 0.16/0.40 (define @t22 () (_ @t7 @t1)) % 0.16/0.40 (define @t23 () (_ @t7 @t2)) % 0.16/0.40 (define @t24 () (not @t23)) % 0.16/0.40 (define @t25 () (or @t24 @t22)) % 0.16/0.40 (define @t26 () (forall @t10 @t25)) % 0.16/0.40 (define @t27 () (lambda @t3 @t26)) % 0.16/0.40 (define @t28 () (_ @t5 @t27)) % 0.16/0.40 (define @t29 () (_ @t5 @t27)) % 0.16/0.40 (define @t30 () (not @t29)) % 0.16/0.40 (define @t31 () (or @t30 @t6)) % 0.16/0.40 (define @t32 () (@purify @t4)) % 0.16/0.40 (define @t33 () (forall @t14 (or (not @t28) @t17))) % 0.16/0.40 (define @t34 () (@quantifiers_skolemize @t33 0)) % 0.16/0.40 (define @t35 () (_ @t34 @t32)) % 0.16/0.40 (define @t36 () (@purify @t27)) % 0.16/0.40 (define @t37 () (_ @t34 @t36)) % 0.16/0.40 (define @t38 () (not @t37)) % 0.16/0.40 (define @t39 () (or @t38 @t35)) % 0.16/0.40 (define @t40 () (not @t39)) % 0.16/0.40 (define @t41 () (not @t33)) % 0.16/0.40 (define @t42 () (_ @t34 @t4)) % 0.16/0.40 (define @t43 () (_ @t34 @t27)) % 0.16/0.40 (define @t44 () (not @t43)) % 0.16/0.40 (define @t45 () (or @t44 @t42)) % 0.16/0.40 (define @t46 () (not @t45)) % 0.16/0.40 (define @t47 () (@list true)) % 0.16/0.40 (define @t48 () (@list @t39)) % 0.16/0.40 (define @t49 () (not @t35)) % 0.16/0.40 (define @t50 () (= @t32 @t36)) % 0.16/0.40 (define @t51 () (not @t50)) % 0.16/0.40 (define @t52 () (and @t49 @t50 @t37)) % 0.16/0.40 (define @t53 () (@const 0 tptp.a)) % 0.16/0.40 (define @t54 () (@const 1 tptp.a)) % 0.16/0.40 (define @t55 () (= @t54 @t53)) % 0.16/0.40 (define @t56 () (forall @t10 (or (not (_ @t7 @t54)) (_ @t7 @t53)))) % 0.16/0.40 (define @t57 () (= (_ @t27 @t54 @t53) @t56)) % 0.16/0.40 (define @t58 () (_ @t36 @t54 @t53)) % 0.16/0.40 (define @t59 () (= (_ @t4 @t54 @t53) @t55)) % 0.16/0.40 (define @t60 () (_ @t32 @t54 @t53)) % 0.16/0.40 (define @t61 () (= @t60 @t58)) % 0.16/0.40 (define @t62 () (not @t61)) % 0.16/0.40 (define @t63 () (or @t50 @t62)) % 0.16/0.40 (define @t64 () (= @t56 @t55)) % 0.16/0.40 (define @t65 () (@var "BOUND_VARIABLE_14666" tptp.a)) % 0.16/0.40 (define @t66 () (lambda (@list @t65) (= @t65 @t54))) % 0.16/0.40 (define @t67 () (_ @t66 @t53)) % 0.16/0.40 (define @t68 () (_ @t66 @t54)) % 0.16/0.40 (define @t69 () (not @t68)) % 0.16/0.40 (define @t70 () (or @t69 @t67)) % 0.16/0.40 (define @t71 () (not @t56)) % 0.16/0.40 (define @t72 () (@list true true)) % 0.16/0.40 (define @t73 () (@quantifiers_skolemize @t56 0)) % 0.16/0.40 (define @t74 () (_ @t73 @t53)) % 0.16/0.40 (define @t75 () (_ @t73 @t54)) % 0.16/0.40 (define @t76 () (not @t75)) % 0.16/0.40 (define @t77 () (or @t76 @t74)) % 0.16/0.40 (define @t78 () (not @t77)) % 0.16/0.40 (define @t79 () (@list @t77)) % 0.16/0.40 (define @t80 () (and @t55 @t75)) % 0.16/0.40 (assume @p1 @t16) % 0.16/0.40 (assume @p2 true) % 0.16/0.40 (step @p3 :rule refl :args (@t17)) % 0.16/0.40 (step @p4 :rule refl :args (@t6)) % 0.16/0.40 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t6 @t17))) % 0.16/0.40 (step @p6 :rule symm :premises (@p5)) % 0.16/0.40 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.16/0.40 (step @p8 :rule refl :args ((_ @t5 @t21))) % 0.16/0.40 (step @p9 :rule refl :args (@t22)) % 0.16/0.40 (step @p10 :rule refl :args (@t23)) % 0.16/0.40 (step @p11 :rule cong :premises (@p10) :args (@t24)) % 0.16/0.40 (step @p12 :rule nary_cong :premises (@p11 @p9) :args (@t25)) % 0.16/0.40 (step @p13 :rule cong :premises (@p12) :args (@t26)) % 0.16/0.40 (step @p14 :rule cong :premises (@p13) :args (@t27)) % 0.16/0.40 (step @p15 :rule cong :premises (@p14) :args (@t28)) % 0.16/0.40 (step @p16 :rule trans :premises (@p15 @p8)) % 0.16/0.40 (step @p17 :rule refl :args (@t5)) % 0.16/0.40 (step @p18 :rule ho_cong :premises (@p17 @p14)) % 0.16/0.40 (step @p19 :rule cong :premises (@p18 @p16) :args ((= @t29 @t28))) % 0.16/0.40 (step @p20 :rule symm :premises (@p19)) % 0.16/0.40 (step @p21 :rule refl :args ((_ @t5 @t21))) % 0.16/0.40 (step @p22 :rule eq_resolve :premises (@p21 @p20)) % 0.16/0.40 (step @p23 :rule cong :premises (@p22) :args (@t30)) % 0.16/0.40 (step @p24 :rule nary_cong :premises (@p23 @p7) :args (@t31)) % 0.16/0.40 (step @p25 :rule cong :premises (@p24) :args ((forall @t14 @t31))) % 0.16/0.40 (step @p26 :rule bool-impl-elim :args (@t29 @t6)) % 0.16/0.40 (step @p27 :rule cong :premises (@p26) :args ((forall @t14 (=> @t29 @t6)))) % 0.16/0.40 (step @p28 :rule trans :premises (@p27 @p25)) % 0.16/0.40 (step @p29 :rule refl :args (@t6)) % 0.16/0.40 (step @p30 :rule refl :args (@t8)) % 0.16/0.40 (step @p31 :rule cong :premises (@p30 @p9) :args ((= @t8 @t22))) % 0.16/0.40 (step @p32 :rule symm :premises (@p31)) % 0.16/0.40 (step @p33 :rule eq_resolve :premises (@p30 @p32)) % 0.16/0.40 (step @p34 :rule refl :args (@t9)) % 0.16/0.40 (step @p35 :rule cong :premises (@p34 @p10) :args ((= @t9 @t23))) % 0.16/0.40 (step @p36 :rule symm :premises (@p35)) % 0.16/0.40 (step @p37 :rule eq_resolve :premises (@p34 @p36)) % 0.16/0.40 (step @p38 :rule cong :premises (@p37) :args (@t18)) % 0.16/0.40 (step @p39 :rule nary_cong :premises (@p38 @p33) :args (@t19)) % 0.16/0.40 (step @p40 :rule cong :premises (@p39) :args (@t20)) % 0.16/0.40 (step @p41 :rule bool-impl-elim :args (@t9 @t8)) % 0.16/0.40 (step @p42 :rule cong :premises (@p41) :args (@t11)) % 0.16/0.40 (step @p43 :rule trans :premises (@p42 @p40)) % 0.16/0.40 (step @p44 :rule cong :premises (@p43) :args (@t12)) % 0.16/0.40 (step @p45 :rule refl :args (@t5)) % 0.16/0.40 (step @p46 :rule ho_cong :premises (@p45 @p44)) % 0.16/0.40 (step @p47 :rule cong :premises (@p46 @p29) :args (@t13)) % 0.16/0.40 (step @p48 :rule cong :premises (@p47) :args (@t15)) % 0.16/0.40 (step @p49 :rule trans :premises (@p48 @p28)) % 0.16/0.40 (step @p50 :rule cong :premises (@p49) :args (@t16)) % 0.16/0.40 (step @p51 :rule eq_resolve :premises (@p1 @p50)) % 0.16/0.40 (step @p52 :rule refl :args (@t40)) % 0.16/0.40 (step @p53 :rule bool-double-not-elim :args (@t33)) % 0.16/0.40 (step @p54 :rule nary_cong :premises (@p53 @p52) :args ((or (not @t41) @t40))) % 0.16/0.40 (step @p55 :rule eq-refl :args (@t4)) % 0.16/0.40 (step @p56 :rule skolem_intro :args (@t32)) % 0.16/0.40 (step @p57 :rule refl :args (@t4)) % 0.16/0.40 (step @p58 :rule cong :premises (@p57 @p56) :args ((= @t4 @t32))) % 0.16/0.40 (step @p59 :rule trans :premises (@p58 @p55)) % 0.16/0.40 (step @p60 :rule true_elim :premises (@p59)) % 0.16/0.40 (step @p61 :rule cong :premises (@p60) :args (@t42)) % 0.16/0.40 (step @p62 :rule eq-refl :args (@t27)) % 0.16/0.40 (step @p63 :rule skolem_intro :args (@t36)) % 0.16/0.40 (step @p64 :rule refl :args (@t27)) % 0.16/0.40 (step @p65 :rule cong :premises (@p64 @p63) :args ((= @t27 @t36))) % 0.16/0.40 (step @p66 :rule trans :premises (@p65 @p62)) % 0.16/0.40 (step @p67 :rule true_elim :premises (@p66)) % 0.16/0.40 (step @p68 :rule cong :premises (@p67) :args (@t43)) % 0.16/0.40 (step @p69 :rule cong :premises (@p68) :args (@t44)) % 0.16/0.40 (step @p70 :rule nary_cong :premises (@p69 @p61) :args (@t45)) % 0.16/0.40 (step @p71 :rule cong :premises (@p70) :args (@t46)) % 0.16/0.40 (step @p72 :rule refl :args (@t41)) % 0.16/0.40 (step @p73 :rule cong :premises (@p72 @p71) :args ((=> @t41 @t46))) % 0.16/0.40 (assume-push @p218 @t41) % 0.16/0.40 (step @p75 :rule skolemize :premises (@p51)) % 0.16/0.40 (step-pop @p219 :rule scope :premises (@p75)) % 0.16/0.40 (step @p76 :rule process_scope :premises (@p219) :args (@t46)) % 0.16/0.40 (step @p78 :rule eq_resolve :premises (@p76 @p73)) % 0.16/0.40 (step @p79 :rule implies_elim :premises (@p78)) % 0.16/0.40 (step @p80 :rule eq_resolve :premises (@p79 @p54)) % 0.16/0.40 (step @p81 :rule chain_m_resolution :premises (@p80 @p51) :args (@t40 @t47 (@list @t33))) % 0.16/0.40 (step @p82 :rule bool-double-not-elim :args (@t37)) % 0.16/0.40 (step @p83 :rule refl :args (@t39)) % 0.16/0.40 (step @p84 :rule nary_cong :premises (@p83 @p82) :args ((or @t39 (not @t38)))) % 0.16/0.40 (step @p85 :rule cnf_or_neg :args (@t39 0)) % 0.16/0.40 (step @p86 :rule eq_resolve :premises (@p85 @p84)) % 0.16/0.40 (step @p87 :rule reordering :premises (@p86) :args ((or @t37 @t39))) % 0.16/0.40 (step @p88 :rule chain_m_resolution :premises (@p87 @p81) :args (@t37 @t47 @t48)) % 0.16/0.40 (step @p89 :rule cnf_or_neg :args (@t39 1)) % 0.16/0.40 (step @p90 :rule chain_m_resolution :premises (@p89 @p81) :args (@t49 @t47 @t48)) % 0.16/0.40 (step @p91 :rule refl :args (@t51)) % 0.16/0.40 (step @p92 :rule bool-double-not-elim :args (@t35)) % 0.16/0.40 (step @p93 :rule refl :args (@t38)) % 0.16/0.40 (step @p94 :rule nary_cong :premises (@p93 @p92 @p91) :args ((or @t38 (not @t49) @t51))) % 0.16/0.40 (assume-push @p220 @t49) % 0.16/0.40 (assume-push @p221 @t50) % 0.16/0.40 (assume-push @p222 @t37) % 0.16/0.40 (step @p98 :rule evaluate :args ((= true false))) % 0.16/0.40 (step @p99 :rule false_intro :premises (@p90)) % 0.16/0.40 (step @p100 :rule symm :premises (@p221)) % 0.16/0.40 (step @p101 :rule cong :premises (@p100) :args (@t37)) % 0.16/0.40 (step @p102 :rule true_intro :premises (@p88)) % 0.16/0.40 (step @p103 :rule symm :premises (@p102)) % 0.16/0.40 (step @p104 :rule trans :premises (@p103 @p101 @p99)) % 0.16/0.40 (step @p105 false :rule eq_resolve :premises (@p104 @p98)) % 0.16/0.40 (step-pop @p223 :rule scope :premises (@p105)) % 0.16/0.40 (step-pop @p224 :rule scope :premises (@p223)) % 0.16/0.40 (step-pop @p225 :rule scope :premises (@p224)) % 0.16/0.40 (step @p106 :rule process_scope :premises (@p225) :args (false)) % 0.16/0.40 (assume-push @p226 @t37) % 0.16/0.40 (assume-push @p227 @t49) % 0.16/0.40 (assume-push @p228 @t50) % 0.16/0.40 (step @p113 :rule and_intro :premises (@p90 @p228 @p88)) % 0.16/0.40 (step-pop @p229 :rule scope :premises (@p113)) % 0.16/0.40 (step-pop @p230 :rule scope :premises (@p229)) % 0.16/0.40 (step-pop @p231 :rule scope :premises (@p230)) % 0.16/0.40 (step @p114 :rule process_scope :premises (@p231) :args (@t52)) % 0.16/0.40 (step @p118 :rule implies_elim :premises (@p114)) % 0.16/0.40 (step @p119 :rule resolution :premises (@p118 @p106) :args (true @t52)) % 0.16/0.40 (step @p120 :rule not_and :premises (@p119)) % 0.16/0.40 (step @p121 :rule eq_resolve :premises (@p120 @p94)) % 0.16/0.40 (step @p122 :rule reordering :premises (@p121) :args ((or @t35 @t38 @t51))) % 0.16/0.40 (step @p123 :rule chain_m_resolution :premises (@p122 @p90 @p88) :args (@t51 (@list true false) (@list @t35 @t37))) % 0.16/0.40 (step @p124 :rule eq-symm :args (@t55 @t56)) % 0.16/0.40 (step @p125 :rule eq-refl :args (@t56)) % 0.16/0.40 (step @p126 :rule refl :args (@t56)) % 0.16/0.40 (step @p127 :rule beta-reduce :args (@t57)) % 0.16/0.40 (step @p128 :rule cong :premises (@p127 @p126) :args (@t57)) % 0.16/0.40 (step @p129 :rule trans :premises (@p128 @p125)) % 0.16/0.40 (step @p130 :rule refl :args (@t53)) % 0.16/0.40 (step @p131 :rule refl :args (@t54)) % 0.16/0.40 (step @p132 :rule ho_cong :premises (@p63 @p131 @p130)) % 0.16/0.40 (step @p133 :rule cong :premises (@p132 @p126) :args ((= @t58 @t56))) % 0.16/0.40 (step @p134 :rule trans :premises (@p133 @p129)) % 0.16/0.40 (step @p135 :rule true_elim :premises (@p134)) % 0.16/0.40 (step @p136 :rule eq-refl :args (@t55)) % 0.16/0.40 (step @p137 :rule refl :args (@t55)) % 0.16/0.40 (step @p138 :rule beta-reduce :args (@t59)) % 0.16/0.40 (step @p139 :rule cong :premises (@p138 @p137) :args (@t59)) % 0.16/0.40 (step @p140 :rule trans :premises (@p139 @p136)) % 0.16/0.40 (step @p141 :rule ho_cong :premises (@p56 @p131 @p130)) % 0.16/0.40 (step @p142 :rule cong :premises (@p141 @p137) :args ((= @t60 @t55))) % 0.16/0.40 (step @p143 :rule trans :premises (@p142 @p140)) % 0.16/0.40 (step @p144 :rule true_elim :premises (@p143)) % 0.16/0.40 (step @p145 :rule cong :premises (@p144 @p135) :args (@t61)) % 0.16/0.40 (step @p146 :rule trans :premises (@p145 @p124)) % 0.16/0.40 (step @p147 :rule cong :premises (@p146) :args (@t62)) % 0.16/0.40 (step @p148 :rule refl :args (@t50)) % 0.16/0.40 (step @p149 :rule nary_cong :premises (@p148 @p147) :args (@t63)) % 0.16/0.40 ; WARNING: add trust step for TRUST % 0.16/0.40 ; trust TRUST THEORY_LEMMA % 0.16/0.40 (step @p150 :rule trust :premises () :args (@t63)) % 0.16/0.40 (step @p151 :rule eq_resolve :premises (@p150 @p149)) % 0.16/0.40 (step @p152 :rule chain_m_resolution :premises (@p151 @p123) :args ((not @t64) @t47 (@list @t50))) % 0.16/0.40 (step @p153 :rule cnf_equiv_neg2 :args (@t64)) % 0.16/0.40 (step @p154 :rule aci_norm :args ((= (or false @t55) @t55))) % 0.16/0.40 (step @p155 :rule eq-symm :args (@t53 @t54)) % 0.16/0.40 (step @p156 :rule beta-reduce :args ((= @t67 (= @t53 @t54)))) % 0.16/0.40 (step @p157 :rule trans :premises (@p156 @p155)) % 0.16/0.40 (step @p158 :rule evaluate :args ((not true))) % 0.16/0.40 (step @p159 :rule eq-refl :args (@t54)) % 0.16/0.40 (step @p160 :rule beta-reduce :args ((= @t68 (= @t54 @t54)))) % 0.16/0.40 (step @p161 :rule trans :premises (@p160 @p159)) % 0.16/0.40 (step @p162 :rule cong :premises (@p161) :args (@t69)) % 0.16/0.40 (step @p163 :rule trans :premises (@p162 @p158)) % 0.16/0.40 (step @p164 :rule nary_cong :premises (@p163 @p157) :args (@t70)) % 0.16/0.40 (step @p165 :rule trans :premises (@p164 @p154)) % 0.16/0.40 (step @p166 :rule cong :premises (@p126 @p165) :args ((=> @t56 @t70))) % 0.16/0.40 (assume-push @p232 @t56) % 0.16/0.40 (step @p168 :rule instantiate :premises (@p232) :args ((@list @t66))) % 0.16/0.40 (step-pop @p233 :rule scope :premises (@p168)) % 0.16/0.40 (step @p169 :rule process_scope :premises (@p233) :args (@t70)) % 0.16/0.40 (step @p171 :rule eq_resolve :premises (@p169 @p166)) % 0.16/0.40 (step @p172 :rule implies_elim :premises (@p171)) % 0.16/0.40 (step @p173 :rule reordering :premises (@p172) :args ((or @t55 @t71))) % 0.16/0.40 (step @p174 :rule chain_m_resolution :premises (@p173 @p153 @p152) :args (@t71 @t72 (@list @t55 @t64))) % 0.16/0.40 (step @p175 :rule cnf_equiv_neg1 :args (@t64)) % 0.16/0.40 (step @p176 :rule reordering :premises (@p175) :args ((or @t56 @t55 @t64))) % 0.16/0.40 (step @p177 :rule chain_m_resolution :premises (@p176 @p174 @p152) :args (@t55 @t72 (@list @t56 @t64))) % 0.16/0.40 (step @p178 :rule refl :args (@t78)) % 0.16/0.40 (step @p179 :rule bool-double-not-elim :args (@t56)) % 0.16/0.40 (step @p180 :rule nary_cong :premises (@p179 @p178) :args ((or (not @t71) @t78))) % 0.16/0.41 (assume-push @p234 @t71) % 0.16/0.41 (step @p182 :rule skolemize :premises (@p234)) % 0.16/0.41 (step-pop @p235 :rule scope :premises (@p182)) % 0.16/0.41 (step @p183 :rule process_scope :premises (@p235) :args (@t78)) % 0.16/0.41 (step @p185 :rule implies_elim :premises (@p183)) % 0.16/0.41 (step @p186 :rule eq_resolve :premises (@p185 @p180)) % 0.16/0.41 (step @p187 :rule chain_m_resolution :premises (@p186 @p174) :args (@t78 @t47 (@list @t56))) % 0.16/0.41 (step @p188 :rule bool-double-not-elim :args (@t75)) % 0.16/0.41 (step @p189 :rule refl :args (@t77)) % 0.16/0.41 (step @p190 :rule nary_cong :premises (@p189 @p188) :args ((or @t77 (not @t76)))) % 0.16/0.41 (step @p191 :rule cnf_or_neg :args (@t77 0)) % 0.16/0.41 (step @p192 :rule eq_resolve :premises (@p191 @p190)) % 0.16/0.41 (step @p193 :rule reordering :premises (@p192) :args ((or @t75 @t77))) % 0.16/0.41 (step @p194 :rule chain_m_resolution :premises (@p193 @p187) :args (@t75 @t47 @t79)) % 0.16/0.41 (step @p195 :rule cnf_or_neg :args (@t77 1)) % 0.16/0.41 (step @p196 :rule chain_m_resolution :premises (@p195 @p187) :args ((not @t74) @t47 @t79)) % 0.16/0.41 (assume-push @p236 @t55) % 0.16/0.41 (assume-push @p237 @t75) % 0.16/0.41 (assume-push @p238 @t75) % 0.16/0.41 (assume-push @p239 @t55) % 0.16/0.41 (step @p201 :rule true_intro :premises (@p237)) % 0.16/0.41 (step @p202 :rule symm :premises (@p236)) % 0.16/0.41 (step @p203 :rule cong :premises (@p202) :args (@t74)) % 0.16/0.41 (step @p204 :rule trans :premises (@p203 @p201)) % 0.16/0.41 (step @p205 :rule true_elim :premises (@p204)) % 0.16/0.41 (step-pop @p240 :rule scope :premises (@p205)) % 0.16/0.41 (step-pop @p241 :rule scope :premises (@p240)) % 0.16/0.41 (step @p206 :rule process_scope :premises (@p241) :args (@t74)) % 0.16/0.41 (step @p209 :rule and_intro :premises (@p237 @p236)) % 0.16/0.41 (step @p210 :rule modus_ponens :premises (@p209 @p206)) % 0.16/0.41 (step-pop @p242 :rule scope :premises (@p210)) % 0.16/0.41 (step-pop @p243 :rule scope :premises (@p242)) % 0.16/0.41 (step @p211 :rule process_scope :premises (@p243) :args (@t74)) % 0.16/0.41 (step @p214 :rule implies_elim :premises (@p211)) % 0.16/0.41 (step @p215 :rule cnf_and_neg :args (@t80)) % 0.16/0.41 (step @p216 :rule resolution :premises (@p215 @p214) :args (true @t80)) % 0.16/0.41 (step @p217 false :rule chain_m_resolution :premises (@p216 @p196 @p194 @p177) :args (false (@list true false false) (@list @t74 @t75 @t55))) % 0.16/0.41 ) % 0.16/0.41 % SZS output end Proof % 0.16/0.41 % cvc5 exiting %------------------------------------------------------------------------------