%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET598+3 : TPTP v9.2.1. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n015.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 08:48:09 AM UTC 2026 % Result : Theorem 0.38s 0.59s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET598+3 : TPTP v9.2.1. Released v2.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n015.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 16:04:19 EDT 2026 % 0.17/0.35 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.59 % SZS status Theorem % 0.38/0.59 % SZS output start Proof % 0.38/0.59 ( % 0.38/0.59 (declare-sort $$unsorted 0) % 0.38/0.59 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (define @t1 () (@var "B" $$unsorted)) % 0.38/0.59 (define @t2 () (@var "C" $$unsorted)) % 0.38/0.59 (define @t3 () (tptp.intersection @t1 @t2)) % 0.38/0.59 (define @t4 () (@list @t1 @t2)) % 0.38/0.59 (define @t5 () (@var "D" $$unsorted)) % 0.38/0.59 (define @t6 () (tptp.intersection @t2 @t5)) % 0.38/0.59 (define @t7 () (tptp.subset @t1 @t6)) % 0.38/0.59 (define @t8 () (tptp.subset @t1 @t5)) % 0.38/0.59 (define @t9 () (tptp.subset @t1 @t2)) % 0.38/0.59 (define @t10 () (and @t9 @t8)) % 0.38/0.59 (define @t11 () (@list @t1 @t2 @t5)) % 0.38/0.59 (define @t12 () (forall @t11 (=> @t10 @t7))) % 0.38/0.59 (define @t13 () (tptp.member @t5 @t2)) % 0.38/0.59 (define @t14 () (tptp.member @t5 @t1)) % 0.38/0.59 (define @t15 () (@list @t5)) % 0.38/0.59 (define @t16 () (= @t1 @t2)) % 0.38/0.59 (define @t17 () (forall @t4 (= @t16 (and @t9 (tptp.subset @t2 @t1))))) % 0.38/0.59 (define @t18 () (@var "E" $$unsorted)) % 0.38/0.59 (define @t19 () (tptp.subset @t18 @t1)) % 0.38/0.59 (define @t20 () (tptp.subset @t18 @t5)) % 0.38/0.59 (define @t21 () (tptp.subset @t18 @t2)) % 0.38/0.59 (define @t22 () (and @t21 @t20)) % 0.38/0.59 (define @t23 () (@list @t18)) % 0.38/0.59 (define @t24 () (forall @t23 (=> @t22 @t19))) % 0.38/0.59 (define @t25 () (and @t9 @t8 @t24)) % 0.38/0.59 (define @t26 () (= @t1 @t6)) % 0.38/0.59 (define @t27 () (= @t26 @t25)) % 0.38/0.59 (define @t28 () (forall @t11 @t27)) % 0.38/0.59 (define @t29 () (not @t28)) % 0.38/0.59 (define @t30 () (not @t20)) % 0.38/0.59 (define @t31 () (not @t21)) % 0.38/0.59 (define @t32 () (or @t31 @t30 @t19)) % 0.38/0.59 (define @t33 () (forall @t11 (= @t26 (and @t9 @t8 (forall @t23 @t32))))) % 0.38/0.59 (define @t34 () (@quantifiers_skolemize @t33 0)) % 0.38/0.59 (define @t35 () (@quantifiers_skolemize @t33 2)) % 0.38/0.59 (define @t36 () (@quantifiers_skolemize @t33 1)) % 0.38/0.59 (define @t37 () (forall @t23 (or (not (tptp.subset @t18 @t36)) (not (tptp.subset @t18 @t35)) (tptp.subset @t18 @t34)))) % 0.38/0.59 (define @t38 () (tptp.subset @t34 @t35)) % 0.38/0.59 (define @t39 () (tptp.subset @t34 @t36)) % 0.38/0.59 (define @t40 () (and @t39 @t38 @t37)) % 0.38/0.59 (define @t41 () (tptp.intersection @t36 @t35)) % 0.38/0.59 (define @t42 () (= @t34 @t41)) % 0.38/0.59 (define @t43 () (= @t42 @t40)) % 0.38/0.59 (define @t44 () (tptp.subset @t34 @t41)) % 0.38/0.59 (define @t45 () (tptp.subset @t41 @t34)) % 0.38/0.59 (define @t46 () (and @t45 @t44)) % 0.38/0.59 (define @t47 () (= (= @t41 @t34) @t46)) % 0.38/0.59 (define @t48 () (= @t42 @t46)) % 0.38/0.59 (define @t49 () (not @t40)) % 0.38/0.59 (define @t50 () (not @t8)) % 0.38/0.59 (define @t51 () (not @t9)) % 0.38/0.59 (define @t52 () (not @t38)) % 0.38/0.59 (define @t53 () (not @t39)) % 0.38/0.59 (define @t54 () (or @t53 @t52 @t44)) % 0.38/0.59 (define @t55 () (tptp.subset @t41 @t35)) % 0.38/0.59 (define @t56 () (not @t55)) % 0.38/0.59 (define @t57 () (tptp.subset @t41 @t36)) % 0.38/0.59 (define @t58 () (not @t57)) % 0.38/0.59 (define @t59 () (or @t58 @t56 @t45)) % 0.38/0.59 (define @t60 () (@list @t36 @t35)) % 0.38/0.59 (define @t61 () (tptp.intersection @t35 @t36)) % 0.38/0.59 (define @t62 () (= @t41 @t61)) % 0.38/0.59 (define @t63 () (tptp.subset @t61 @t35)) % 0.38/0.59 (define @t64 () (and @t42 @t62 @t63)) % 0.38/0.59 (define @t65 () (not @t42)) % 0.38/0.59 (define @t66 () (@list false false false)) % 0.38/0.59 (define @t67 () (and @t42 @t57)) % 0.38/0.59 (define @t68 () (not @t37)) % 0.38/0.59 (define @t69 () (@quantifiers_skolemize @t37 0)) % 0.38/0.59 (define @t70 () (tptp.subset @t69 @t34)) % 0.38/0.59 (define @t71 () (tptp.subset @t69 @t35)) % 0.38/0.59 (define @t72 () (not @t71)) % 0.38/0.59 (define @t73 () (tptp.subset @t69 @t36)) % 0.38/0.59 (define @t74 () (not @t73)) % 0.38/0.59 (define @t75 () (or @t74 @t72 @t70)) % 0.38/0.59 (define @t76 () (not @t75)) % 0.38/0.59 (define @t77 () (@list true)) % 0.38/0.59 (define @t78 () (not @t70)) % 0.38/0.59 (define @t79 () (@list @t75)) % 0.38/0.59 (define @t80 () (tptp.subset @t69 @t41)) % 0.38/0.59 (define @t81 () (or @t74 @t72 @t80)) % 0.38/0.59 (define @t82 () (not @t80)) % 0.38/0.59 (define @t83 () (and @t80 @t42 @t78)) % 0.38/0.59 (assume @p1 (forall @t4 (tptp.subset @t3 @t1))) % 0.38/0.59 (assume @p2 @t12) % 0.38/0.59 (assume @p3 (forall @t11 (= (tptp.member @t5 @t3) (and @t14 @t13)))) % 0.38/0.59 (assume @p4 (forall @t4 (= @t9 (forall @t15 (=> @t14 @t13))))) % 0.38/0.59 (assume @p5 @t17) % 0.38/0.59 (assume @p6 (forall @t4 (= @t3 (tptp.intersection @t2 @t1)))) % 0.38/0.59 (assume @p7 (forall (@list @t1) (tptp.subset @t1 @t1))) % 0.38/0.59 (assume @p8 (forall @t4 (= @t16 (forall @t15 (= @t14 @t13))))) % 0.38/0.59 (assume @p9 @t29) % 0.38/0.59 (assume @p10 true) % 0.38/0.59 (step @p11 :rule aci_norm :args ((= (or (or @t31 @t30) @t19) @t32))) % 0.38/0.59 (step @p12 :rule refl :args (@t19)) % 0.38/0.59 (step @p13 :rule bool-and-de-morgan :args (@t21 @t20 true)) % 0.38/0.59 (step @p14 :rule nary_cong :premises (@p13 @p12) :args ((or (not @t22) @t19))) % 0.38/0.59 (step @p15 :rule trans :premises (@p14 @p11)) % 0.38/0.59 (step @p16 :rule bool-impl-elim :args (@t22 @t19)) % 0.38/0.59 (step @p17 :rule trans :premises (@p16 @p15)) % 0.38/0.59 (step @p18 :rule cong :premises (@p17) :args (@t24)) % 0.38/0.59 (step @p19 :rule refl :args (@t8)) % 0.38/0.59 (step @p20 :rule refl :args (@t9)) % 0.38/0.59 (step @p21 :rule nary_cong :premises (@p20 @p19 @p18) :args (@t25)) % 0.38/0.59 (step @p22 :rule refl :args (@t26)) % 0.38/0.59 (step @p23 :rule cong :premises (@p22 @p21) :args (@t27)) % 0.38/0.59 (step @p24 :rule cong :premises (@p23) :args (@t28)) % 0.38/0.59 (step @p25 :rule cong :premises (@p24) :args (@t29)) % 0.38/0.59 (step @p26 :rule eq_resolve :premises (@p9 @p25)) % 0.38/0.59 (step @p27 :rule skolemize :premises (@p26)) % 0.38/0.59 (step @p28 :rule cnf_equiv_neg1 :args (@t43)) % 0.38/0.59 (step @p29 :rule reordering :premises (@p28) :args ((or @t42 @t40 @t43))) % 0.38/0.59 (step @p30 :rule refl :args (@t46)) % 0.38/0.59 (step @p31 :rule eq-symm :args (@t41 @t34)) % 0.38/0.59 (step @p32 :rule cong :premises (@p31 @p30) :args (@t47)) % 0.38/0.59 (step @p33 :rule refl :args (@t17)) % 0.38/0.59 (step @p34 :rule cong :premises (@p33 @p32) :args ((=> @t17 @t47))) % 0.38/0.59 (assume-push @p192 @t17) % 0.38/0.59 (step @p36 :rule instantiate :premises (@p5) :args ((@list @t41 @t34))) % 0.38/0.59 (step-pop @p193 :rule scope :premises (@p36)) % 0.38/0.59 (step @p37 :rule process_scope :premises (@p193) :args (@t47)) % 0.38/0.59 (step @p39 :rule eq_resolve :premises (@p37 @p34)) % 0.38/0.59 (step @p40 :rule implies_elim :premises (@p39)) % 0.38/0.59 (step @p41 :rule chain_m_resolution :premises (@p40 @p5) :args (@t48 (@list false) (@list @t17))) % 0.38/0.59 (step @p42 :rule cnf_equiv_pos2 :args (@t48)) % 0.38/0.59 (step @p43 :rule reordering :premises (@p42) :args ((or @t42 (not @t46) (not @t48)))) % 0.38/0.59 (step @p44 :rule cnf_and_pos :args (@t40 0)) % 0.38/0.59 (step @p45 :rule reordering :premises (@p44) :args ((or @t39 @t49))) % 0.38/0.59 (step @p46 :rule cnf_and_pos :args (@t40 1)) % 0.38/0.59 (step @p47 :rule reordering :premises (@p46) :args ((or @t38 @t49))) % 0.38/0.59 (step @p48 :rule cnf_and_pos :args (@t40 2)) % 0.38/0.59 (step @p49 :rule reordering :premises (@p48) :args ((or @t37 @t49))) % 0.38/0.59 (step @p50 :rule aci_norm :args ((= (or (or @t51 @t50) @t7) (or @t51 @t50 @t7)))) % 0.38/0.59 (step @p51 :rule refl :args (@t7)) % 0.38/0.59 (step @p52 :rule bool-and-de-morgan :args (@t9 @t8 true)) % 0.38/0.59 (step @p53 :rule nary_cong :premises (@p52 @p51) :args ((or (not @t10) @t7))) % 0.38/0.59 (step @p54 :rule trans :premises (@p53 @p50)) % 0.38/0.59 (step @p55 :rule bool-impl-elim :args (@t10 @t7)) % 0.38/0.59 (step @p56 :rule trans :premises (@p55 @p54)) % 0.38/0.59 (step @p57 :rule cong :premises (@p56) :args (@t12)) % 0.38/0.59 (step @p58 :rule eq_resolve :premises (@p2 @p57)) % 0.38/0.59 (step @p59 :rule instantiate :premises (@p58) :args ((@list @t34 @t36 @t35))) % 0.38/0.59 (step @p60 :rule cnf_or_pos :args (@t54)) % 0.38/0.59 (step @p61 :rule reordering :premises (@p60) :args ((or @t53 @t52 @t44 (not @t54)))) % 0.38/0.59 (assume-push @p194 @t37) % 0.38/0.59 (step @p63 :rule instantiate :premises (@p194) :args ((@list @t41))) % 0.38/0.59 (step-pop @p195 :rule scope :premises (@p63)) % 0.38/0.59 (step @p64 :rule process_scope :premises (@p195) :args (@t59)) % 0.38/0.59 (step @p66 :rule implies_elim :premises (@p64)) % 0.38/0.59 (step @p67 :rule cnf_and_neg :args (@t46)) % 0.38/0.59 (step @p68 :rule reordering :premises (@p67) :args ((or (not @t45) @t46 (not @t44)))) % 0.38/0.59 (step @p69 :rule instantiate :premises (@p1) :args (@t60)) % 0.38/0.59 (step @p70 :rule instantiate :premises (@p1) :args ((@list @t35 @t36))) % 0.38/0.59 (step @p71 :rule true_intro :premises (@p70)) % 0.38/0.59 (step @p72 :rule refl :args (@t35)) % 0.38/0.59 (step @p73 :rule instantiate :premises (@p6) :args (@t60)) % 0.38/0.59 (step @p74 :rule cong :premises (@p73 @p72) :args (@t55)) % 0.38/0.59 (step @p75 :rule trans :premises (@p74 @p71)) % 0.38/0.59 (step @p76 :rule true_elim :premises (@p75)) % 0.38/0.59 (step @p77 :rule cnf_or_pos :args (@t59)) % 0.38/0.59 (step @p78 :rule reordering :premises (@p77) :args ((or @t58 @t56 @t45 (not @t59)))) % 0.38/0.59 (step @p79 :rule chain_m_resolution :premises (@p78 @p76 @p69 @p68 @p66 @p61 @p59 @p49 @p47 @p45 @p43 @p41 @p29 @p27) :args (@t42 (@list false false true false false false false false false true false false true) (@list @t55 @t57 @t45 @t59 @t44 @t54 @t37 @t38 @t39 @t46 @t48 @t40 @t43))) % 0.38/0.59 (assume-push @p196 @t42) % 0.38/0.59 (assume-push @p197 @t62) % 0.38/0.59 (assume-push @p198 @t63) % 0.38/0.59 (assume-push @p199 @t63) % 0.38/0.59 (assume-push @p200 @t62) % 0.38/0.59 (assume-push @p201 @t42) % 0.38/0.59 (step @p86 :rule trans :premises (@p196 @p73)) % 0.38/0.59 (step @p87 :rule cong :premises (@p86 @p72) :args (@t38)) % 0.38/0.59 (step @p88 :rule trans :premises (@p87 @p71)) % 0.38/0.59 (step @p89 :rule true_elim :premises (@p88)) % 0.38/0.59 (step-pop @p202 :rule scope :premises (@p89)) % 0.38/0.59 (step-pop @p203 :rule scope :premises (@p202)) % 0.38/0.59 (step-pop @p204 :rule scope :premises (@p203)) % 0.38/0.59 (step @p90 :rule process_scope :premises (@p204) :args (@t38)) % 0.38/0.59 (step @p94 :rule and_intro :premises (@p70 @p73 @p196)) % 0.38/0.59 (step @p95 :rule modus_ponens :premises (@p94 @p90)) % 0.38/0.59 (step-pop @p205 :rule scope :premises (@p95)) % 0.38/0.59 (step-pop @p206 :rule scope :premises (@p205)) % 0.38/0.59 (step-pop @p207 :rule scope :premises (@p206)) % 0.38/0.59 (step @p96 :rule process_scope :premises (@p207) :args (@t38)) % 0.38/0.59 (step @p100 :rule implies_elim :premises (@p96)) % 0.38/0.59 (step @p101 :rule cnf_and_neg :args (@t64)) % 0.38/0.59 (step @p102 :rule resolution :premises (@p101 @p100) :args (true @t64)) % 0.38/0.59 (step @p103 :rule reordering :premises (@p102) :args ((or @t38 @t65 (not @t62) (not @t63)))) % 0.38/0.59 (step @p104 :rule chain_m_resolution :premises (@p103 @p79 @p73 @p70) :args (@t38 @t66 (@list @t42 @t62 @t63))) % 0.38/0.59 (assume-push @p208 @t42) % 0.38/0.59 (assume-push @p209 @t57) % 0.38/0.59 (assume-push @p210 @t57) % 0.38/0.59 (assume-push @p211 @t42) % 0.38/0.59 (step @p109 :rule true_intro :premises (@p69)) % 0.38/0.59 (step @p110 :rule refl :args (@t36)) % 0.38/0.59 (step @p111 :rule cong :premises (@p208 @p110) :args (@t39)) % 0.38/0.59 (step @p112 :rule trans :premises (@p111 @p109)) % 0.38/0.59 (step @p113 :rule true_elim :premises (@p112)) % 0.38/0.59 (step-pop @p212 :rule scope :premises (@p113)) % 0.38/0.59 (step-pop @p213 :rule scope :premises (@p212)) % 0.38/0.59 (step @p114 :rule process_scope :premises (@p213) :args (@t39)) % 0.38/0.59 (step @p117 :rule and_intro :premises (@p69 @p208)) % 0.38/0.59 (step @p118 :rule modus_ponens :premises (@p117 @p114)) % 0.38/0.59 (step-pop @p214 :rule scope :premises (@p118)) % 0.38/0.59 (step-pop @p215 :rule scope :premises (@p214)) % 0.38/0.59 (step @p119 :rule process_scope :premises (@p215) :args (@t39)) % 0.38/0.59 (step @p122 :rule implies_elim :premises (@p119)) % 0.38/0.59 (step @p123 :rule cnf_and_neg :args (@t67)) % 0.38/0.59 (step @p124 :rule resolution :premises (@p123 @p122) :args (true @t67)) % 0.38/0.59 (step @p125 :rule reordering :premises (@p124) :args ((or @t39 @t65 @t58))) % 0.38/0.59 (step @p126 :rule chain_m_resolution :premises (@p125 @p79 @p69) :args (@t39 (@list false false) (@list @t42 @t57))) % 0.38/0.59 (step @p127 :rule cnf_equiv_neg2 :args (@t43)) % 0.38/0.59 (step @p128 :rule chain_m_resolution :premises (@p127 @p27 @p79) :args (@t49 (@list true false) (@list @t43 @t42))) % 0.38/0.59 (step @p129 :rule cnf_and_neg :args (@t40)) % 0.38/0.59 (step @p130 :rule chain_m_resolution :premises (@p129 @p128 @p126 @p104) :args (@t68 (@list true false false) (@list @t40 @t39 @t38))) % 0.38/0.59 (step @p131 :rule refl :args (@t76)) % 0.38/0.59 (step @p132 :rule bool-double-not-elim :args (@t37)) % 0.38/0.59 (step @p133 :rule nary_cong :premises (@p132 @p131) :args ((or (not @t68) @t76))) % 0.38/0.59 (assume-push @p216 @t68) % 0.38/0.59 (step @p135 :rule skolemize :premises (@p216)) % 0.38/0.59 (step-pop @p217 :rule scope :premises (@p135)) % 0.38/0.59 (step @p136 :rule process_scope :premises (@p217) :args (@t76)) % 0.38/0.59 (step @p138 :rule implies_elim :premises (@p136)) % 0.38/0.59 (step @p139 :rule eq_resolve :premises (@p138 @p133)) % 0.38/0.59 (step @p140 :rule chain_m_resolution :premises (@p139 @p130) :args (@t76 @t77 (@list @t37))) % 0.38/0.59 (step @p141 :rule cnf_or_neg :args (@t75 2)) % 0.38/0.59 (step @p142 :rule chain_m_resolution :premises (@p141 @p140) :args (@t78 @t77 @t79)) % 0.38/0.59 (step @p143 :rule instantiate :premises (@p58) :args ((@list @t69 @t36 @t35))) % 0.38/0.59 (step @p144 :rule bool-double-not-elim :args (@t71)) % 0.38/0.59 (step @p145 :rule refl :args (@t75)) % 0.38/0.59 (step @p146 :rule nary_cong :premises (@p145 @p144) :args ((or @t75 (not @t72)))) % 0.38/0.59 (step @p147 :rule cnf_or_neg :args (@t75 1)) % 0.38/0.59 (step @p148 :rule eq_resolve :premises (@p147 @p146)) % 0.38/0.59 (step @p149 :rule reordering :premises (@p148) :args ((or @t71 @t75))) % 0.38/0.59 (step @p150 :rule chain_m_resolution :premises (@p149 @p140) :args (@t71 @t77 @t79)) % 0.38/0.59 (step @p151 :rule bool-double-not-elim :args (@t73)) % 0.38/0.59 (step @p152 :rule nary_cong :premises (@p145 @p151) :args ((or @t75 (not @t74)))) % 0.38/0.59 (step @p153 :rule cnf_or_neg :args (@t75 0)) % 0.38/0.59 (step @p154 :rule eq_resolve :premises (@p153 @p152)) % 0.38/0.59 (step @p155 :rule reordering :premises (@p154) :args ((or @t73 @t75))) % 0.38/0.59 (step @p156 :rule chain_m_resolution :premises (@p155 @p140) :args (@t73 @t77 @t79)) % 0.38/0.59 (step @p157 :rule cnf_or_pos :args (@t81)) % 0.38/0.59 (step @p158 :rule reordering :premises (@p157) :args ((or @t74 @t72 @t80 (not @t81)))) % 0.38/0.59 (step @p159 :rule chain_m_resolution :premises (@p158 @p156 @p150 @p143) :args (@t80 @t66 (@list @t73 @t71 @t81))) % 0.38/0.59 (step @p160 :rule refl :args (@t82)) % 0.38/0.59 (step @p161 :rule bool-double-not-elim :args (@t70)) % 0.38/0.59 (step @p162 :rule refl :args (@t65)) % 0.38/0.59 (step @p163 :rule nary_cong :premises (@p162 @p161 @p160) :args ((or @t65 (not @t78) @t82))) % 0.38/0.59 (assume-push @p218 @t80) % 0.38/0.59 (assume-push @p219 @t42) % 0.38/0.59 (assume-push @p220 @t78) % 0.38/0.59 (step @p167 :rule evaluate :args ((= false true))) % 0.38/0.59 (step @p168 :rule true_intro :premises (@p218)) % 0.38/0.59 (step @p169 :rule refl :args (@t69)) % 0.38/0.59 (step @p170 :rule cong :premises (@p169 @p219) :args (@t70)) % 0.38/0.59 (step @p171 :rule false_intro :premises (@p220)) % 0.38/0.59 (step @p172 :rule symm :premises (@p171)) % 0.38/0.59 (step @p173 :rule trans :premises (@p172 @p170 @p168)) % 0.38/0.59 (step @p174 false :rule eq_resolve :premises (@p173 @p167)) % 0.38/0.59 (step-pop @p221 :rule scope :premises (@p174)) % 0.38/0.59 (step-pop @p222 :rule scope :premises (@p221)) % 0.38/0.59 (step-pop @p223 :rule scope :premises (@p222)) % 0.38/0.59 (step @p175 :rule process_scope :premises (@p223) :args (false)) % 0.38/0.59 (assume-push @p224 @t42) % 0.38/0.59 (assume-push @p225 @t78) % 0.38/0.59 (assume-push @p226 @t80) % 0.38/0.59 (step @p182 :rule and_intro :premises (@p226 @p224 @p225)) % 0.38/0.59 (step-pop @p227 :rule scope :premises (@p182)) % 0.38/0.59 (step-pop @p228 :rule scope :premises (@p227)) % 0.38/0.59 (step-pop @p229 :rule scope :premises (@p228)) % 0.38/0.59 (step @p183 :rule process_scope :premises (@p229) :args (@t83)) % 0.38/0.59 (step @p187 :rule implies_elim :premises (@p183)) % 0.38/0.59 (step @p188 :rule resolution :premises (@p187 @p175) :args (true @t83)) % 0.38/0.59 (step @p189 :rule not_and :premises (@p188)) % 0.38/0.59 (step @p190 :rule eq_resolve :premises (@p189 @p163)) % 0.38/0.59 (step @p191 false :rule chain_m_resolution :premises (@p190 @p159 @p142 @p79) :args (false (@list false true false) (@list @t80 @t70 @t42))) % 0.38/0.59 ) % 0.38/0.59 % SZS output end Proof % 0.38/0.59 % cvc5 exiting %------------------------------------------------------------------------------