%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU159+3 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n010.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 08:50:46 AM UTC 2026 % Result : Theorem 15.42s 15.61s % Output : Proof 15.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU159+3 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n010.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 16:32:40 EDT 2026 % 0.18/0.35 % CPUTime : % 0.35/0.50 %----Proving TF0_NAR, FOF, or CNF % 15.42/15.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.42/15.61 --- Run --no-e-matching --full-saturate-quant at 6... % 15.42/15.61 % SZS status Theorem % 15.42/15.61 % SZS output start Proof % 15.42/15.61 ( % 15.42/15.61 (declare-sort $$unsorted 0) % 15.42/15.61 (declare-const tptp.empty (-> $$unsorted Bool)) % 15.42/15.61 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 15.42/15.61 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 15.42/15.61 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 15.42/15.61 (define @t1 () (@var "A" $$unsorted)) % 15.42/15.61 (define @t2 () (@var "B" $$unsorted)) % 15.42/15.61 (define @t3 () (@list @t1 @t2)) % 15.42/15.61 (define @t4 () (tptp.unordered_pair @t1 @t2)) % 15.42/15.61 (define @t5 () (@var "D" $$unsorted)) % 15.42/15.61 (define @t6 () (or (= @t5 @t1) (= @t5 @t2))) % 15.42/15.61 (define @t7 () (@var "C" $$unsorted)) % 15.42/15.61 (define @t8 () (tptp.in @t5 @t7)) % 15.42/15.61 (define @t9 () (= @t8 @t6)) % 15.42/15.61 (define @t10 () (@list @t5)) % 15.42/15.61 (define @t11 () (forall @t10 @t9)) % 15.42/15.61 (define @t12 () (= (= @t7 @t4) @t11)) % 15.42/15.61 (define @t13 () (@list @t1 @t2 @t7)) % 15.42/15.61 (define @t14 () (forall @t13 @t12)) % 15.42/15.61 (define @t15 () (tptp.in @t7 @t2)) % 15.42/15.61 (define @t16 () (tptp.in @t7 @t1)) % 15.42/15.61 (define @t17 () (@list @t7)) % 15.42/15.61 (define @t18 () (forall @t17 (=> @t16 @t15))) % 15.42/15.61 (define @t19 () (tptp.subset @t1 @t2)) % 15.42/15.61 (define @t20 () (= @t19 @t18)) % 15.42/15.61 (define @t21 () (forall @t3 @t20)) % 15.42/15.61 (define @t22 () (tptp.empty @t1)) % 15.42/15.61 (define @t23 () (@list @t1)) % 15.42/15.61 (define @t24 () (forall @t13 (= (tptp.subset @t4 @t7) (and (tptp.in @t1 @t7) (tptp.in @t2 @t7))))) % 15.42/15.61 (define @t25 () (@quantifiers_skolemize @t24 2)) % 15.42/15.61 (define @t26 () (@quantifiers_skolemize @t24 1)) % 15.42/15.61 (define @t27 () (tptp.in @t26 @t25)) % 15.42/15.61 (define @t28 () (@quantifiers_skolemize @t24 0)) % 15.42/15.61 (define @t29 () (tptp.in @t28 @t25)) % 15.42/15.61 (define @t30 () (and @t29 @t27)) % 15.42/15.61 (define @t31 () (tptp.unordered_pair @t28 @t26)) % 15.42/15.61 (define @t32 () (tptp.subset @t31 @t25)) % 15.42/15.61 (define @t33 () (= @t32 @t30)) % 15.42/15.61 (define @t34 () (forall @t17 (or (not (tptp.in @t7 @t31)) (tptp.in @t7 @t25)))) % 15.42/15.61 (define @t35 () (= @t32 @t34)) % 15.42/15.61 (define @t36 () (not @t35)) % 15.42/15.61 (define @t37 () (not @t32)) % 15.42/15.61 (define @t38 () (@list @t28)) % 15.42/15.61 (define @t39 () (tptp.in @t28 @t31)) % 15.42/15.61 (define @t40 () (not @t39)) % 15.42/15.61 (define @t41 () (or @t40 @t29)) % 15.42/15.61 (define @t42 () (@list @t26)) % 15.42/15.61 (define @t43 () (tptp.in @t26 @t31)) % 15.42/15.61 (define @t44 () (not @t43)) % 15.42/15.61 (define @t45 () (or @t44 @t27)) % 15.42/15.61 (define @t46 () (tptp.in @t5 @t31)) % 15.42/15.61 (define @t47 () (forall @t10 (= @t46 (or (= @t5 @t28) (= @t5 @t26))))) % 15.42/15.61 (define @t48 () (or (= @t28 @t5) (= @t26 @t5))) % 15.42/15.61 (define @t49 () (= @t46 @t48)) % 15.42/15.61 (define @t50 () (forall @t10 @t49)) % 15.42/15.61 (define @t51 () (= (= @t31 @t31) @t50)) % 15.42/15.61 (define @t52 () (forall @t13 (= (= @t4 @t7) (forall @t10 (= @t8 (or (= @t1 @t5) (= @t2 @t5))))))) % 15.42/15.61 (define @t53 () (@list false)) % 15.42/15.61 (define @t54 () (= @t28 @t26)) % 15.42/15.61 (define @t55 () (or (= @t28 @t28) @t54)) % 15.42/15.61 (define @t56 () (= @t39 @t55)) % 15.42/15.61 (define @t57 () (@list @t47)) % 15.42/15.61 (define @t58 () (or (= @t26 @t28) (= @t26 @t26))) % 15.42/15.61 (define @t59 () (= @t43 @t58)) % 15.42/15.61 (define @t60 () (not @t30)) % 15.42/15.61 (define @t61 () (@list @t30)) % 15.42/15.61 (define @t62 () (not @t34)) % 15.42/15.61 (define @t63 () (@list true false)) % 15.42/15.61 (define @t64 () (@quantifiers_skolemize @t34 0)) % 15.42/15.61 (define @t65 () (tptp.in @t64 @t25)) % 15.42/15.61 (define @t66 () (tptp.in @t64 @t31)) % 15.42/15.61 (define @t67 () (not @t66)) % 15.42/15.61 (define @t68 () (or @t67 @t65)) % 15.42/15.61 (define @t69 () (not @t68)) % 15.42/15.61 (define @t70 () (@list true)) % 15.42/15.61 (define @t71 () (not @t65)) % 15.42/15.61 (define @t72 () (@list @t68)) % 15.42/15.61 (define @t73 () (or (= @t64 @t28) (= @t64 @t26))) % 15.42/15.61 (define @t74 () (= @t66 @t73)) % 15.42/15.61 (define @t75 () (= @t26 @t64)) % 15.42/15.61 (define @t76 () (= @t28 @t64)) % 15.42/15.61 (define @t77 () (or @t76 @t75)) % 15.42/15.61 (define @t78 () (= @t66 @t77)) % 15.42/15.61 (define @t79 () (not @t76)) % 15.42/15.61 (define @t80 () (not @t29)) % 15.42/15.61 (define @t81 () (not @t71)) % 15.42/15.61 (define @t82 () (and @t29 @t76 @t71)) % 15.42/15.61 (define @t83 () (not @t75)) % 15.42/15.61 (define @t84 () (not @t27)) % 15.42/15.61 (define @t85 () (and @t71 @t75 @t27)) % 15.42/15.61 (assume @p1 (forall @t3 (=> (tptp.in @t1 @t2) (not (tptp.in @t2 @t1))))) % 15.42/15.61 (assume @p2 (forall @t3 (= @t4 (tptp.unordered_pair @t2 @t1)))) % 15.42/15.61 (assume @p3 @t14) % 15.42/15.61 (assume @p4 @t21) % 15.42/15.61 (assume @p5 (exists @t23 @t22)) % 15.42/15.61 (assume @p6 (exists @t23 (not @t22))) % 15.42/15.61 (assume @p7 (forall @t3 (tptp.subset @t1 @t1))) % 15.42/15.61 (assume @p8 (not @t24)) % 15.42/15.61 (assume @p9 true) % 15.42/15.61 (step @p10 :rule skolemize :premises (@p8)) % 15.42/15.61 (step @p11 :rule cnf_equiv_neg2 :args (@t33)) % 15.42/15.61 (step @p12 :rule bool-impl-elim :args (@t16 @t15)) % 15.42/15.61 (step @p13 :rule cong :premises (@p12) :args (@t18)) % 15.42/15.61 (step @p14 :rule refl :args (@t19)) % 15.42/15.61 (step @p15 :rule cong :premises (@p14 @p13) :args (@t20)) % 15.42/15.61 (step @p16 :rule cong :premises (@p15) :args (@t21)) % 15.42/15.61 (step @p17 :rule eq_resolve :premises (@p4 @p16)) % 15.42/15.61 (step @p18 :rule instantiate :premises (@p17) :args ((@list @t31 @t25))) % 15.42/15.61 (step @p19 :rule cnf_equiv_pos1 :args (@t35)) % 15.42/15.61 (step @p20 :rule reordering :premises (@p19) :args ((or @t37 @t34 @t36))) % 15.42/15.61 (assume-push @p216 @t34) % 15.42/15.61 (step @p22 :rule instantiate :premises (@p216) :args (@t38)) % 15.42/15.61 (step-pop @p217 :rule scope :premises (@p22)) % 15.42/15.61 (step @p23 :rule process_scope :premises (@p217) :args (@t41)) % 15.42/15.61 (step @p25 :rule implies_elim :premises (@p23)) % 15.42/15.61 (assume-push @p218 @t34) % 15.42/15.61 (step @p27 :rule instantiate :premises (@p218) :args (@t42)) % 15.42/15.61 (step-pop @p219 :rule scope :premises (@p27)) % 15.42/15.61 (step @p28 :rule process_scope :premises (@p219) :args (@t45)) % 15.42/15.61 (step @p30 :rule implies_elim :premises (@p28)) % 15.42/15.61 (step @p31 :rule eq-symm :args (@t5 @t2)) % 15.42/15.61 (step @p32 :rule eq-symm :args (@t5 @t1)) % 15.42/15.61 (step @p33 :rule nary_cong :premises (@p32 @p31) :args (@t6)) % 15.42/15.61 (step @p34 :rule refl :args (@t8)) % 15.42/15.61 (step @p35 :rule cong :premises (@p34 @p33) :args (@t9)) % 15.42/15.61 (step @p36 :rule cong :premises (@p35) :args (@t11)) % 15.42/15.61 (step @p37 :rule eq-symm :args (@t7 @t4)) % 15.42/15.61 (step @p38 :rule cong :premises (@p37 @p36) :args (@t12)) % 15.42/15.61 (step @p39 :rule cong :premises (@p38) :args (@t14)) % 15.42/15.61 (step @p40 :rule eq_resolve :premises (@p3 @p39)) % 15.42/15.61 (step @p41 :rule bool-eq-true :args (@t47)) % 15.42/15.61 (step @p42 :rule eq-symm :args (true @t47)) % 15.42/15.61 (step @p43 :rule trans :premises (@p42 @p41)) % 15.42/15.61 (step @p44 :rule eq-symm :args (@t26 @t5)) % 15.42/15.61 (step @p45 :rule eq-symm :args (@t28 @t5)) % 15.42/15.61 (step @p46 :rule nary_cong :premises (@p45 @p44) :args (@t48)) % 15.42/15.61 (step @p47 :rule refl :args (@t46)) % 15.42/15.61 (step @p48 :rule cong :premises (@p47 @p46) :args (@t49)) % 15.42/15.61 (step @p49 :rule cong :premises (@p48) :args (@t50)) % 15.42/15.61 (step @p50 :rule eq-refl :args (@t31)) % 15.42/15.61 (step @p51 :rule cong :premises (@p50 @p49) :args (@t51)) % 15.42/15.61 (step @p52 :rule trans :premises (@p51 @p43)) % 15.42/15.61 (step @p53 :rule refl :args (@t52)) % 15.42/15.61 (step @p54 :rule cong :premises (@p53 @p52) :args ((=> @t52 @t51))) % 15.42/15.61 (assume-push @p220 @t52) % 15.42/15.61 (step @p56 :rule instantiate :premises (@p40) :args ((@list @t28 @t26 @t31))) % 15.42/15.61 (step-pop @p221 :rule scope :premises (@p56)) % 15.42/15.61 (step @p57 :rule process_scope :premises (@p221) :args (@t51)) % 15.42/15.61 (step @p59 :rule eq_resolve :premises (@p57 @p54)) % 15.42/15.61 (step @p60 :rule implies_elim :premises (@p59)) % 15.42/15.61 (step @p61 :rule chain_m_resolution :premises (@p60 @p40) :args (@t47 @t53 (@list @t52))) % 15.42/15.61 (step @p62 :rule bool-eq-true :args (@t39)) % 15.42/15.61 (step @p63 :rule absorb :args ((= (or true @t54) true))) % 15.42/15.61 (step @p64 :rule refl :args (@t54)) % 15.42/15.61 (step @p65 :rule eq-refl :args (@t28)) % 15.42/15.61 (step @p66 :rule nary_cong :premises (@p65 @p64) :args (@t55)) % 15.42/15.61 (step @p67 :rule trans :premises (@p66 @p63)) % 15.42/15.61 (step @p68 :rule refl :args (@t39)) % 15.42/15.61 (step @p69 :rule cong :premises (@p68 @p67) :args (@t56)) % 15.42/15.61 (step @p70 :rule trans :premises (@p69 @p62)) % 15.42/15.61 (step @p71 :rule refl :args (@t47)) % 15.42/15.61 (step @p72 :rule cong :premises (@p71 @p70) :args ((=> @t47 @t56))) % 15.42/15.61 (assume-push @p222 @t47) % 15.42/15.61 (step @p74 :rule instantiate :premises (@p61) :args (@t38)) % 15.42/15.61 (step-pop @p223 :rule scope :premises (@p74)) % 15.42/15.61 (step @p75 :rule process_scope :premises (@p223) :args (@t56)) % 15.42/15.61 (step @p77 :rule eq_resolve :premises (@p75 @p72)) % 15.42/15.61 (step @p78 :rule implies_elim :premises (@p77)) % 15.42/15.61 (step @p79 :rule chain_m_resolution :premises (@p78 @p61) :args (@t39 @t53 @t57)) % 15.42/15.61 (step @p80 :rule cnf_or_pos :args (@t41)) % 15.42/15.61 (step @p81 :rule reordering :premises (@p80) :args ((or @t29 @t40 (not @t41)))) % 15.42/15.61 (step @p82 :rule bool-eq-true :args (@t43)) % 15.42/15.61 (step @p83 :rule absorb :args ((= (or @t54 true) true))) % 15.42/15.61 (step @p84 :rule eq-refl :args (@t26)) % 15.42/15.61 (step @p85 :rule eq-symm :args (@t26 @t28)) % 15.42/15.61 (step @p86 :rule nary_cong :premises (@p85 @p84) :args (@t58)) % 15.42/15.61 (step @p87 :rule trans :premises (@p86 @p83)) % 15.42/15.61 (step @p88 :rule refl :args (@t43)) % 15.42/15.61 (step @p89 :rule cong :premises (@p88 @p87) :args (@t59)) % 15.42/15.61 (step @p90 :rule trans :premises (@p89 @p82)) % 15.42/15.61 (step @p91 :rule cong :premises (@p71 @p90) :args ((=> @t47 @t59))) % 15.42/15.61 (assume-push @p224 @t47) % 15.42/15.61 (step @p93 :rule instantiate :premises (@p61) :args (@t42)) % 15.42/15.61 (step-pop @p225 :rule scope :premises (@p93)) % 15.42/15.61 (step @p94 :rule process_scope :premises (@p225) :args (@t59)) % 15.42/15.61 (step @p96 :rule eq_resolve :premises (@p94 @p91)) % 15.42/15.61 (step @p97 :rule implies_elim :premises (@p96)) % 15.42/15.61 (step @p98 :rule chain_m_resolution :premises (@p97 @p61) :args (@t43 @t53 @t57)) % 15.42/15.61 (step @p99 :rule cnf_or_pos :args (@t45)) % 15.42/15.61 (step @p100 :rule reordering :premises (@p99) :args ((or @t27 @t44 (not @t45)))) % 15.42/15.61 (step @p101 :rule cnf_and_neg :args (@t30)) % 15.42/15.61 (step @p102 :rule chain_m_resolution :premises (@p101 @p100 @p98 @p81 @p79 @p30 @p25 @p20 @p18 @p11 @p10) :args (@t37 (@list false false false false false false false false true true) (@list @t27 @t43 @t29 @t39 @t45 @t41 @t34 @t35 @t30 @t33))) % 15.42/15.61 (step @p103 :rule cnf_equiv_neg1 :args (@t33)) % 15.42/15.61 (step @p104 :rule reordering :premises (@p103) :args ((or @t32 @t30 @t33))) % 15.42/15.61 (step @p105 :rule chain_m_resolution :premises (@p104 @p102 @p10) :args (@t30 (@list true true) (@list @t32 @t33))) % 15.42/15.61 (step @p106 :rule cnf_and_pos :args (@t30 1)) % 15.42/15.61 (step @p107 :rule reordering :premises (@p106) :args ((or @t27 @t60))) % 15.42/15.61 (step @p108 :rule chain_m_resolution :premises (@p107 @p105) :args (@t27 @t53 @t61)) % 15.42/15.61 (step @p109 :rule cnf_equiv_pos2 :args (@t35)) % 15.42/15.61 (step @p110 :rule reordering :premises (@p109) :args ((or @t32 @t62 @t36))) % 15.42/15.61 (step @p111 :rule chain_m_resolution :premises (@p110 @p102 @p18) :args (@t62 @t63 (@list @t32 @t35))) % 15.42/15.61 (step @p112 :rule refl :args (@t69)) % 15.42/15.61 (step @p113 :rule bool-double-not-elim :args (@t34)) % 15.42/15.61 (step @p114 :rule nary_cong :premises (@p113 @p112) :args ((or (not @t62) @t69))) % 15.42/15.61 (assume-push @p226 @t62) % 15.42/15.61 (step @p116 :rule skolemize :premises (@p226)) % 15.42/15.61 (step-pop @p227 :rule scope :premises (@p116)) % 15.42/15.61 (step @p117 :rule process_scope :premises (@p227) :args (@t69)) % 15.42/15.61 (step @p119 :rule implies_elim :premises (@p117)) % 15.42/15.61 (step @p120 :rule eq_resolve :premises (@p119 @p114)) % 15.42/15.61 (step @p121 :rule chain_m_resolution :premises (@p120 @p111) :args (@t69 @t70 (@list @t34))) % 15.42/15.61 (step @p122 :rule cnf_or_neg :args (@t68 1)) % 15.42/15.61 (step @p123 :rule chain_m_resolution :premises (@p122 @p121) :args (@t71 @t70 @t72)) % 15.42/15.61 (step @p124 :rule eq-symm :args (@t64 @t26)) % 15.42/15.61 (step @p125 :rule eq-symm :args (@t64 @t28)) % 15.42/15.61 (step @p126 :rule nary_cong :premises (@p125 @p124) :args (@t73)) % 15.42/15.61 (step @p127 :rule refl :args (@t66)) % 15.42/15.61 (step @p128 :rule cong :premises (@p127 @p126) :args (@t74)) % 15.42/15.61 (step @p129 :rule cong :premises (@p71 @p128) :args ((=> @t47 @t74))) % 15.42/15.61 (assume-push @p228 @t47) % 15.42/15.61 (step @p131 :rule instantiate :premises (@p61) :args ((@list @t64))) % 15.42/15.61 (step-pop @p229 :rule scope :premises (@p131)) % 15.42/15.61 (step @p132 :rule process_scope :premises (@p229) :args (@t74)) % 15.42/15.61 (step @p134 :rule eq_resolve :premises (@p132 @p129)) % 15.42/15.61 (step @p135 :rule implies_elim :premises (@p134)) % 15.42/15.61 (step @p136 :rule chain_m_resolution :premises (@p135 @p61) :args (@t78 @t53 @t57)) % 15.42/15.61 (step @p137 :rule bool-double-not-elim :args (@t66)) % 15.42/15.61 (step @p138 :rule refl :args (@t68)) % 15.42/15.61 (step @p139 :rule nary_cong :premises (@p138 @p137) :args ((or @t68 (not @t67)))) % 15.42/15.61 (step @p140 :rule cnf_or_neg :args (@t68 0)) % 15.42/15.61 (step @p141 :rule eq_resolve :premises (@p140 @p139)) % 15.42/15.61 (step @p142 :rule reordering :premises (@p141) :args ((or @t66 @t68))) % 15.42/15.61 (step @p143 :rule chain_m_resolution :premises (@p142 @p121) :args (@t66 @t70 @t72)) % 15.42/15.61 (step @p144 :rule cnf_equiv_pos1 :args (@t78)) % 15.42/15.61 (step @p145 :rule reordering :premises (@p144) :args ((or @t67 @t77 (not @t78)))) % 15.42/15.61 (step @p146 :rule chain_m_resolution :premises (@p145 @p143 @p136) :args (@t77 (@list false false) (@list @t66 @t78))) % 15.42/15.61 (step @p147 :rule cnf_and_pos :args (@t30 0)) % 15.42/15.61 (step @p148 :rule reordering :premises (@p147) :args ((or @t29 @t60))) % 15.42/15.61 (step @p149 :rule chain_m_resolution :premises (@p148 @p105) :args (@t29 @t53 @t61)) % 15.42/15.61 (step @p150 :rule refl :args (@t79)) % 15.42/15.61 (step @p151 :rule bool-double-not-elim :args (@t65)) % 15.42/15.61 (step @p152 :rule refl :args (@t80)) % 15.42/15.61 (step @p153 :rule nary_cong :premises (@p152 @p151 @p150) :args ((or @t80 @t81 @t79))) % 15.42/15.61 (assume-push @p230 @t29) % 15.42/15.61 (assume-push @p231 @t76) % 15.42/15.61 (assume-push @p232 @t71) % 15.42/15.61 (step @p157 :rule evaluate :args ((= false true))) % 15.42/15.61 (step @p158 :rule true_intro :premises (@p230)) % 15.42/15.61 (step @p159 :rule refl :args (@t25)) % 15.42/15.61 (step @p160 :rule symm :premises (@p231)) % 15.42/15.61 (step @p161 :rule cong :premises (@p160 @p159) :args (@t65)) % 15.42/15.61 (step @p162 :rule false_intro :premises (@p232)) % 15.42/15.61 (step @p163 :rule symm :premises (@p162)) % 15.42/15.61 (step @p164 :rule trans :premises (@p163 @p161 @p158)) % 15.42/15.61 (step @p165 false :rule eq_resolve :premises (@p164 @p157)) % 15.42/15.61 (step-pop @p233 :rule scope :premises (@p165)) % 15.42/15.61 (step-pop @p234 :rule scope :premises (@p233)) % 15.42/15.61 (step-pop @p235 :rule scope :premises (@p234)) % 15.42/15.61 (step @p166 :rule process_scope :premises (@p235) :args (false)) % 15.42/15.61 (assume-push @p236 @t29) % 15.42/15.61 (assume-push @p237 @t71) % 15.42/15.61 (assume-push @p238 @t76) % 15.42/15.61 (step @p173 :rule and_intro :premises (@p236 @p238 @p237)) % 15.42/15.61 (step-pop @p239 :rule scope :premises (@p173)) % 15.42/15.61 (step-pop @p240 :rule scope :premises (@p239)) % 15.42/15.61 (step-pop @p241 :rule scope :premises (@p240)) % 15.42/15.61 (step @p174 :rule process_scope :premises (@p241) :args (@t82)) % 15.42/15.61 (step @p178 :rule implies_elim :premises (@p174)) % 15.42/15.61 (step @p179 :rule resolution :premises (@p178 @p166) :args (true @t82)) % 15.42/15.61 (step @p180 :rule not_and :premises (@p179)) % 15.42/15.61 (step @p181 :rule eq_resolve :premises (@p180 @p153)) % 15.42/15.61 (step @p182 :rule chain_m_resolution :premises (@p181 @p149 @p123) :args (@t79 (@list false true) (@list @t29 @t65))) % 15.42/15.61 (step @p183 :rule cnf_or_pos :args (@t77)) % 15.42/15.61 (step @p184 :rule reordering :premises (@p183) :args ((or @t76 @t75 (not @t77)))) % 15.42/15.61 (step @p185 :rule chain_m_resolution :premises (@p184 @p182 @p146) :args (@t75 @t63 (@list @t76 @t77))) % 15.42/15.61 (step @p186 :rule refl :args (@t83)) % 15.42/15.61 (step @p187 :rule refl :args (@t84)) % 15.42/15.61 (step @p188 :rule nary_cong :premises (@p187 @p151 @p186) :args ((or @t84 @t81 @t83))) % 15.42/15.61 (assume-push @p242 @t71) % 15.42/15.61 (assume-push @p243 @t75) % 15.42/15.61 (assume-push @p244 @t27) % 15.42/15.61 (step @p192 :rule evaluate :args ((= true false))) % 15.42/15.61 (step @p193 :rule false_intro :premises (@p242)) % 15.42/15.61 (step @p159 :rule refl :args (@t25)) % 15.42/15.61 (step @p194 :rule cong :premises (@p243 @p159) :args (@t27)) % 15.42/15.61 (step @p195 :rule true_intro :premises (@p244)) % 15.42/15.61 (step @p196 :rule symm :premises (@p195)) % 15.42/15.61 (step @p197 :rule trans :premises (@p196 @p194 @p193)) % 15.42/15.61 (step @p198 false :rule eq_resolve :premises (@p197 @p192)) % 15.42/15.61 (step-pop @p245 :rule scope :premises (@p198)) % 15.42/15.61 (step-pop @p246 :rule scope :premises (@p245)) % 15.42/15.61 (step-pop @p247 :rule scope :premises (@p246)) % 15.42/15.61 (step @p199 :rule process_scope :premises (@p247) :args (false)) % 15.42/15.61 (assume-push @p248 @t27) % 15.42/15.61 (assume-push @p249 @t71) % 15.42/15.61 (assume-push @p250 @t75) % 15.42/15.61 (step @p206 :rule and_intro :premises (@p249 @p250 @p248)) % 15.42/15.61 (step-pop @p251 :rule scope :premises (@p206)) % 15.42/15.61 (step-pop @p252 :rule scope :premises (@p251)) % 15.42/15.61 (step-pop @p253 :rule scope :premises (@p252)) % 15.42/15.61 (step @p207 :rule process_scope :premises (@p253) :args (@t85)) % 15.42/15.61 (step @p211 :rule implies_elim :premises (@p207)) % 15.42/15.61 (step @p212 :rule resolution :premises (@p211 @p199) :args (true @t85)) % 15.42/15.61 (step @p213 :rule not_and :premises (@p212)) % 15.42/15.61 (step @p214 :rule eq_resolve :premises (@p213 @p188)) % 15.42/15.61 (step @p215 false :rule chain_m_resolution :premises (@p214 @p185 @p123 @p108) :args (false (@list false true false) (@list @t75 @t65 @t27))) % 15.42/15.61 ) % 15.42/15.61 % SZS output end Proof % 15.42/15.61 % cvc5 exiting %------------------------------------------------------------------------------