%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET587+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 : n019.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 08:48:07 AM UTC 2026 % Result : Theorem 0.39s 0.62s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET587+3 : TPTP v9.2.1. Released v2.2.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n019.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 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 16:03:49 EDT 2026 % 0.18/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.62 % SZS status Theorem % 0.39/0.62 % SZS output start Proof % 0.39/0.62 ( % 0.39/0.62 (declare-sort $$unsorted 0) % 0.39/0.62 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.39/0.62 (declare-const tptp.empty_set $$unsorted) % 0.39/0.62 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.39/0.62 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.62 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.39/0.62 (define @t1 () (@var "C" $$unsorted)) % 0.39/0.62 (define @t2 () (@var "B" $$unsorted)) % 0.39/0.62 (define @t3 () (= @t2 @t1)) % 0.39/0.62 (define @t4 () (@var "D" $$unsorted)) % 0.39/0.62 (define @t5 () (tptp.member @t4 @t1)) % 0.39/0.62 (define @t6 () (tptp.member @t4 @t2)) % 0.39/0.62 (define @t7 () (@list @t4)) % 0.39/0.62 (define @t8 () (forall @t7 (= @t6 @t5))) % 0.39/0.62 (define @t9 () (@list @t2 @t1)) % 0.39/0.62 (define @t10 () (forall @t9 (=> @t8 @t3))) % 0.39/0.62 (define @t11 () (tptp.difference @t2 @t1)) % 0.39/0.62 (define @t12 () (@list @t2)) % 0.39/0.62 (define @t13 () (forall @t12 (not (tptp.member @t2 tptp.empty_set)))) % 0.39/0.62 (define @t14 () (forall @t7 (=> @t6 @t5))) % 0.39/0.62 (define @t15 () (tptp.subset @t2 @t1)) % 0.39/0.62 (define @t16 () (= @t15 @t14)) % 0.39/0.62 (define @t17 () (forall @t9 @t16)) % 0.39/0.62 (define @t18 () (@list @t1)) % 0.39/0.62 (define @t19 () (= @t11 tptp.empty_set)) % 0.39/0.62 (define @t20 () (forall @t9 (= @t19 @t15))) % 0.39/0.62 (define @t21 () (not @t20)) % 0.39/0.62 (define @t22 () (forall @t18 (not (tptp.member @t1 tptp.empty_set)))) % 0.39/0.62 (define @t23 () (@list false)) % 0.39/0.62 (define @t24 () (tptp.empty tptp.empty_set)) % 0.39/0.62 (define @t25 () (= @t24 @t22)) % 0.39/0.62 (define @t26 () (@list false false)) % 0.39/0.62 (define @t27 () (forall @t9 (= @t15 @t19))) % 0.39/0.62 (define @t28 () (@quantifiers_skolemize @t27 1)) % 0.39/0.62 (define @t29 () (@quantifiers_skolemize @t27 0)) % 0.39/0.62 (define @t30 () (tptp.difference @t29 @t28)) % 0.39/0.62 (define @t31 () (forall @t18 (not (tptp.member @t1 @t30)))) % 0.39/0.62 (define @t32 () (forall @t7 (or (not (tptp.member @t4 @t29)) (tptp.member @t4 @t28)))) % 0.39/0.62 (define @t33 () (@quantifiers_skolemize @t32 0)) % 0.39/0.62 (define @t34 () (tptp.member @t33 @t30)) % 0.39/0.62 (define @t35 () (not @t34)) % 0.39/0.62 (define @t36 () (not @t31)) % 0.39/0.62 (define @t37 () (tptp.member @t4 @t30)) % 0.39/0.62 (define @t38 () (tptp.member @t4 tptp.empty_set)) % 0.39/0.62 (define @t39 () (forall @t7 (= @t38 @t37))) % 0.39/0.62 (define @t40 () (@quantifiers_skolemize @t39 0)) % 0.39/0.62 (define @t41 () (@list @t40)) % 0.39/0.62 (define @t42 () (tptp.member @t40 @t30)) % 0.39/0.62 (define @t43 () (tptp.member @t33 @t28)) % 0.39/0.62 (define @t44 () (not @t43)) % 0.39/0.62 (define @t45 () (tptp.member @t33 @t29)) % 0.39/0.62 (define @t46 () (and @t45 @t44)) % 0.39/0.62 (define @t47 () (= @t34 @t46)) % 0.39/0.62 (define @t48 () (tptp.member @t40 tptp.empty_set)) % 0.39/0.62 (define @t49 () (= @t48 @t42)) % 0.39/0.62 (define @t50 () (not @t45)) % 0.39/0.62 (define @t51 () (or @t50 @t43)) % 0.39/0.62 (define @t52 () (@list true false)) % 0.39/0.62 (define @t53 () (not @t49)) % 0.39/0.62 (define @t54 () (not @t39)) % 0.39/0.62 (define @t55 () (not @t51)) % 0.39/0.62 (define @t56 () (not @t32)) % 0.39/0.62 (define @t57 () (forall @t7 (= @t37 @t38))) % 0.39/0.62 (define @t58 () (not @t57)) % 0.39/0.62 (define @t59 () (= @t30 tptp.empty_set)) % 0.39/0.62 (define @t60 () (or @t58 @t59)) % 0.39/0.62 (define @t61 () (forall @t9 (or (not @t8) @t3))) % 0.39/0.62 (define @t62 () (= tptp.empty_set @t30)) % 0.39/0.62 (define @t63 () (or @t54 @t62)) % 0.39/0.62 (define @t64 () (tptp.subset @t29 @t28)) % 0.39/0.62 (define @t65 () (= @t64 @t32)) % 0.39/0.62 (define @t66 () (not @t65)) % 0.39/0.62 (define @t67 () (= @t64 @t62)) % 0.39/0.62 (define @t68 () (not @t67)) % 0.39/0.62 (define @t69 () (not @t27)) % 0.39/0.62 (define @t70 () (= @t64 @t59)) % 0.39/0.62 (define @t71 () (not @t70)) % 0.39/0.62 (define @t72 () (@list true)) % 0.39/0.62 (define @t73 () (tptp.empty @t30)) % 0.39/0.62 (define @t74 () (= @t73 @t31)) % 0.39/0.62 (define @t75 () (not @t73)) % 0.39/0.62 (define @t76 () (@quantifiers_skolemize @t31 0)) % 0.39/0.62 (define @t77 () (tptp.member @t76 @t30)) % 0.39/0.62 (define @t78 () (not @t77)) % 0.39/0.62 (define @t79 () (not @t78)) % 0.39/0.62 (define @t80 () (tptp.member @t76 @t28)) % 0.39/0.62 (define @t81 () (not @t80)) % 0.39/0.62 (define @t82 () (tptp.member @t76 @t29)) % 0.39/0.62 (define @t83 () (and @t82 @t81)) % 0.39/0.62 (define @t84 () (= @t77 @t83)) % 0.39/0.62 (define @t85 () (not @t83)) % 0.39/0.62 (define @t86 () (not @t82)) % 0.39/0.62 (define @t87 () (or @t86 @t80)) % 0.39/0.62 (define @t88 () (not @t87)) % 0.39/0.62 (define @t89 () (not @t64)) % 0.39/0.62 (define @t90 () (not @t24)) % 0.39/0.62 (define @t91 () (not @t62)) % 0.39/0.62 (define @t92 () (and @t24 @t62 @t75)) % 0.39/0.62 (assume @p1 @t10) % 0.39/0.62 (assume @p2 (forall (@list @t2 @t1 @t4) (= (tptp.member @t4 @t11) (and @t6 (not @t5))))) % 0.39/0.62 (assume @p3 @t13) % 0.39/0.62 (assume @p4 @t17) % 0.39/0.62 (assume @p5 (forall @t9 (= @t3 (and @t15 (tptp.subset @t1 @t2))))) % 0.39/0.62 (assume @p6 (forall @t9 (= @t3 @t8))) % 0.39/0.62 (assume @p7 (forall @t12 (tptp.subset @t2 @t2))) % 0.39/0.62 (assume @p8 (forall @t12 (= (tptp.empty @t2) (forall @t18 (not (tptp.member @t1 @t2)))))) % 0.39/0.62 (assume @p9 @t21) % 0.39/0.62 (assume @p10 true) % 0.39/0.62 (step @p11 :rule instantiate :premises (@p8) :args ((@list tptp.empty_set))) % 0.39/0.62 (step @p12 :rule alpha_equiv :args (@t13 (@list @t2) (@list @t1))) % 0.39/0.62 (step @p13 :rule equiv_elim1 :premises (@p12)) % 0.39/0.62 (step @p14 :rule chain_m_resolution :premises (@p13 @p3) :args (@t22 @t23 (@list @t13))) % 0.39/0.62 (step @p15 :rule cnf_equiv_pos2 :args (@t25)) % 0.39/0.62 (step @p16 :rule reordering :premises (@p15) :args ((or @t24 (not @t22) (not @t25)))) % 0.39/0.62 (step @p17 :rule chain_m_resolution :premises (@p16 @p14 @p11) :args (@t24 @t26 (@list @t22 @t25))) % 0.39/0.62 (step @p18 :rule instantiate :premises (@p8) :args ((@list @t30))) % 0.39/0.62 (assume-push @p192 @t31) % 0.39/0.62 (step @p20 :rule instantiate :premises (@p192) :args ((@list @t33))) % 0.39/0.62 (step-pop @p193 :rule scope :premises (@p20)) % 0.39/0.62 (step @p21 :rule process_scope :premises (@p193) :args (@t35)) % 0.39/0.62 (step @p23 :rule implies_elim :premises (@p21)) % 0.39/0.62 (step @p24 :rule reordering :premises (@p23) :args ((or @t35 @t36))) % 0.39/0.62 (assume-push @p194 @t31) % 0.39/0.62 (step @p26 :rule instantiate :premises (@p194) :args (@t41)) % 0.39/0.62 (step-pop @p195 :rule scope :premises (@p26)) % 0.39/0.62 (step @p27 :rule process_scope :premises (@p195) :args ((not @t42))) % 0.39/0.62 (step @p29 :rule implies_elim :premises (@p27)) % 0.39/0.62 (step @p30 :rule instantiate :premises (@p2) :args ((@list @t29 @t28 @t33))) % 0.39/0.62 (step @p31 :rule cnf_equiv_pos2 :args (@t47)) % 0.39/0.62 (step @p32 :rule reordering :premises (@p31) :args ((or @t34 (not @t46) (not @t47)))) % 0.39/0.62 (step @p33 :rule instantiate :premises (@p3) :args (@t41)) % 0.39/0.62 (step @p34 :rule cnf_equiv_neg1 :args (@t49)) % 0.39/0.62 (step @p35 :rule reordering :premises (@p34) :args ((or @t48 @t42 @t49))) % 0.39/0.62 (step @p36 :rule bool-double-not-elim :args (@t45)) % 0.39/0.62 (step @p37 :rule refl :args (@t51)) % 0.39/0.62 (step @p38 :rule nary_cong :premises (@p37 @p36) :args ((or @t51 (not @t50)))) % 0.39/0.62 (step @p39 :rule cnf_or_neg :args (@t51 0)) % 0.39/0.62 (step @p40 :rule eq_resolve :premises (@p39 @p38)) % 0.39/0.62 (step @p41 :rule reordering :premises (@p40) :args ((or @t45 @t51))) % 0.39/0.62 (step @p42 :rule cnf_or_neg :args (@t51 1)) % 0.39/0.62 (step @p43 :rule bool-double-not-elim :args (@t43)) % 0.39/0.62 (step @p44 :rule refl :args (@t50)) % 0.39/0.62 (step @p45 :rule refl :args (@t46)) % 0.39/0.62 (step @p46 :rule nary_cong :premises (@p45 @p44 @p43) :args ((or @t46 @t50 (not @t44)))) % 0.39/0.62 (step @p47 :rule cnf_and_neg :args (@t46)) % 0.39/0.62 (step @p48 :rule eq_resolve :premises (@p47 @p46)) % 0.39/0.62 (step @p49 :rule reordering :premises (@p48) :args ((or @t50 @t43 @t46))) % 0.39/0.62 (step @p50 :rule chain_m_resolution :premises (@p49 @p42 @p41) :args ((or @t51 @t46) @t52 (@list @t43 @t45))) % 0.39/0.62 (step @p51 :rule refl :args (@t53)) % 0.39/0.62 (step @p52 :rule bool-double-not-elim :args (@t39)) % 0.39/0.62 (step @p53 :rule nary_cong :premises (@p52 @p51) :args ((or (not @t54) @t53))) % 0.39/0.62 (assume-push @p196 @t54) % 0.39/0.62 (step @p55 :rule skolemize :premises (@p196)) % 0.39/0.62 (step-pop @p197 :rule scope :premises (@p55)) % 0.39/0.62 (step @p56 :rule process_scope :premises (@p197) :args (@t53)) % 0.39/0.62 (step @p58 :rule implies_elim :premises (@p56)) % 0.39/0.62 (step @p59 :rule eq_resolve :premises (@p58 @p53)) % 0.39/0.62 (step @p60 :rule refl :args (@t55)) % 0.39/0.62 (step @p61 :rule bool-double-not-elim :args (@t32)) % 0.39/0.62 (step @p62 :rule nary_cong :premises (@p61 @p60) :args ((or (not @t56) @t55))) % 0.39/0.62 (assume-push @p198 @t56) % 0.39/0.62 (step @p64 :rule skolemize :premises (@p198)) % 0.39/0.62 (step-pop @p199 :rule scope :premises (@p64)) % 0.39/0.62 (step @p65 :rule process_scope :premises (@p199) :args (@t55)) % 0.39/0.62 (step @p67 :rule implies_elim :premises (@p65)) % 0.39/0.62 (step @p68 :rule eq_resolve :premises (@p67 @p62)) % 0.39/0.62 (step @p69 :rule bool-impl-elim :args (@t8 @t3)) % 0.39/0.62 (step @p70 :rule cong :premises (@p69) :args (@t10)) % 0.39/0.62 (step @p71 :rule eq_resolve :premises (@p1 @p70)) % 0.39/0.62 (step @p72 :rule eq-symm :args (@t30 tptp.empty_set)) % 0.39/0.62 (step @p73 :rule eq-symm :args (@t37 @t38)) % 0.39/0.62 (step @p74 :rule cong :premises (@p73) :args (@t57)) % 0.39/0.62 (step @p75 :rule cong :premises (@p74) :args (@t58)) % 0.39/0.62 (step @p76 :rule nary_cong :premises (@p75 @p72) :args (@t60)) % 0.39/0.62 (step @p77 :rule refl :args (@t61)) % 0.39/0.62 (step @p78 :rule cong :premises (@p77 @p76) :args ((=> @t61 @t60))) % 0.39/0.62 (assume-push @p200 @t61) % 0.39/0.62 (step @p80 :rule instantiate :premises (@p71) :args ((@list @t30 tptp.empty_set))) % 0.39/0.62 (step-pop @p201 :rule scope :premises (@p80)) % 0.39/0.62 (step @p81 :rule process_scope :premises (@p201) :args (@t60)) % 0.39/0.62 (step @p83 :rule eq_resolve :premises (@p81 @p78)) % 0.39/0.62 (step @p84 :rule implies_elim :premises (@p83)) % 0.39/0.62 (step @p85 :rule chain_m_resolution :premises (@p84 @p71) :args (@t63 @t23 (@list @t61))) % 0.39/0.62 (step @p86 :rule cnf_or_pos :args (@t63)) % 0.39/0.62 (step @p87 :rule reordering :premises (@p86) :args ((or @t62 @t54 (not @t63)))) % 0.39/0.62 (step @p88 :rule bool-impl-elim :args (@t6 @t5)) % 0.39/0.62 (step @p89 :rule cong :premises (@p88) :args (@t14)) % 0.39/0.62 (step @p90 :rule refl :args (@t15)) % 0.39/0.62 (step @p91 :rule cong :premises (@p90 @p89) :args (@t16)) % 0.39/0.62 (step @p92 :rule cong :premises (@p91) :args (@t17)) % 0.39/0.62 (step @p93 :rule eq_resolve :premises (@p4 @p92)) % 0.39/0.62 (step @p94 :rule instantiate :premises (@p93) :args ((@list @t29 @t28))) % 0.39/0.62 (step @p95 :rule cnf_equiv_pos2 :args (@t65)) % 0.39/0.62 (step @p96 :rule reordering :premises (@p95) :args ((or @t64 @t56 @t66))) % 0.39/0.62 (step @p97 :rule eq-symm :args (@t19 @t15)) % 0.39/0.62 (step @p98 :rule cong :premises (@p97) :args (@t20)) % 0.39/0.62 (step @p99 :rule cong :premises (@p98) :args (@t21)) % 0.39/0.62 (step @p100 :rule eq_resolve :premises (@p9 @p99)) % 0.39/0.62 (step @p101 :rule refl :args (@t68)) % 0.39/0.62 (step @p102 :rule bool-double-not-elim :args (@t27)) % 0.39/0.62 (step @p103 :rule nary_cong :premises (@p102 @p101) :args ((or (not @t69) @t68))) % 0.39/0.62 (step @p104 :rule refl :args (@t64)) % 0.39/0.62 (step @p105 :rule cong :premises (@p104 @p72) :args (@t70)) % 0.39/0.62 (step @p106 :rule cong :premises (@p105) :args (@t71)) % 0.39/0.62 (step @p107 :rule refl :args (@t69)) % 0.39/0.62 (step @p108 :rule cong :premises (@p107 @p106) :args ((=> @t69 @t71))) % 0.39/0.62 (assume-push @p202 @t69) % 0.39/0.62 (step @p110 :rule skolemize :premises (@p100)) % 0.39/0.62 (step-pop @p203 :rule scope :premises (@p110)) % 0.39/0.62 (step @p111 :rule process_scope :premises (@p203) :args (@t71)) % 0.39/0.62 (step @p113 :rule eq_resolve :premises (@p111 @p108)) % 0.39/0.62 (step @p114 :rule implies_elim :premises (@p113)) % 0.39/0.62 (step @p115 :rule eq_resolve :premises (@p114 @p103)) % 0.39/0.62 (step @p116 :rule chain_m_resolution :premises (@p115 @p100) :args (@t68 @t72 (@list @t27))) % 0.39/0.62 (step @p117 :rule cnf_equiv_neg2 :args (@t67)) % 0.39/0.62 (step @p118 :rule chain_m_resolution :premises (@p117 @p116 @p96 @p94 @p87 @p85 @p68 @p59 @p50 @p35 @p33 @p32 @p30 @p29 @p24) :args (@t36 (@list true false false false false false false false false true true false true true) (@list @t67 @t64 @t65 @t62 @t63 @t32 @t39 @t51 @t49 @t48 @t46 @t47 @t42 @t34))) % 0.39/0.62 (step @p119 :rule cnf_equiv_pos1 :args (@t74)) % 0.39/0.62 (step @p120 :rule reordering :premises (@p119) :args ((or @t31 @t75 (not @t74)))) % 0.39/0.62 (step @p121 :rule chain_m_resolution :premises (@p120 @p118 @p18) :args (@t75 @t52 (@list @t31 @t74))) % 0.39/0.62 (step @p122 :rule instantiate :premises (@p2) :args ((@list @t29 @t28 @t76))) % 0.39/0.62 (step @p123 :rule refl :args (@t77)) % 0.39/0.62 (step @p124 :rule bool-double-not-elim :args (@t31)) % 0.39/0.62 (step @p125 :rule nary_cong :premises (@p124 @p123) :args ((or (not @t36) @t77))) % 0.39/0.62 (step @p126 :rule bool-double-not-elim :args (@t77)) % 0.39/0.62 (step @p127 :rule refl :args (@t36)) % 0.39/0.62 (step @p128 :rule cong :premises (@p127 @p126) :args ((=> @t36 @t79))) % 0.39/0.62 (assume-push @p204 @t36) % 0.39/0.62 (step @p130 :rule skolemize :premises (@p204)) % 0.39/0.62 (step-pop @p205 :rule scope :premises (@p130)) % 0.39/0.62 (step @p131 :rule process_scope :premises (@p205) :args (@t79)) % 0.39/0.62 (step @p133 :rule eq_resolve :premises (@p131 @p128)) % 0.39/0.62 (step @p134 :rule implies_elim :premises (@p133)) % 0.39/0.62 (step @p135 :rule eq_resolve :premises (@p134 @p125)) % 0.39/0.62 (step @p136 :rule chain_m_resolution :premises (@p135 @p118) :args (@t77 @t72 (@list @t31))) % 0.39/0.62 (step @p137 :rule cnf_equiv_pos1 :args (@t84)) % 0.39/0.62 (step @p138 :rule reordering :premises (@p137) :args ((or @t78 @t83 (not @t84)))) % 0.39/0.62 (step @p139 :rule chain_m_resolution :premises (@p138 @p136 @p122) :args (@t83 @t26 (@list @t77 @t84))) % 0.39/0.62 (step @p140 :rule cnf_and_pos :args (@t83 0)) % 0.39/0.62 (step @p141 :rule reordering :premises (@p140) :args ((or @t82 @t85))) % 0.39/0.62 (step @p142 :rule cnf_and_pos :args (@t83 1)) % 0.39/0.62 (step @p143 :rule reordering :premises (@p142) :args ((or @t81 @t85))) % 0.39/0.62 (step @p144 :rule cnf_or_pos :args (@t87)) % 0.39/0.62 (step @p145 :rule reordering :premises (@p144) :args ((or @t80 @t86 @t88))) % 0.39/0.62 (step @p146 :rule chain_m_resolution :premises (@p145 @p143 @p141) :args ((or @t85 @t88) @t52 (@list @t80 @t82))) % 0.39/0.62 (step @p147 :rule chain_m_resolution :premises (@p146 @p139) :args (@t88 @t23 (@list @t83))) % 0.39/0.62 (assume-push @p206 @t32) % 0.39/0.62 (step @p149 :rule instantiate :premises (@p206) :args ((@list @t76))) % 0.39/0.62 (step-pop @p207 :rule scope :premises (@p149)) % 0.39/0.62 (step @p150 :rule process_scope :premises (@p207) :args (@t87)) % 0.39/0.62 (step @p152 :rule implies_elim :premises (@p150)) % 0.39/0.62 (step @p153 :rule chain_m_resolution :premises (@p152 @p147) :args (@t56 @t72 (@list @t87))) % 0.39/0.62 (step @p154 :rule cnf_equiv_pos1 :args (@t65)) % 0.39/0.62 (step @p155 :rule reordering :premises (@p154) :args ((or @t89 @t32 @t66))) % 0.39/0.62 (step @p156 :rule chain_m_resolution :premises (@p155 @p153 @p94) :args (@t89 @t52 (@list @t32 @t65))) % 0.39/0.62 (step @p157 :rule cnf_equiv_neg1 :args (@t67)) % 0.39/0.62 (step @p158 :rule reordering :premises (@p157) :args ((or @t64 @t62 @t67))) % 0.39/0.62 (step @p159 :rule chain_m_resolution :premises (@p158 @p156 @p116) :args (@t62 (@list true true) (@list @t64 @t67))) % 0.39/0.62 (step @p160 :rule refl :args (@t90)) % 0.39/0.62 (step @p161 :rule bool-double-not-elim :args (@t73)) % 0.39/0.62 (step @p162 :rule refl :args (@t91)) % 0.39/0.62 (step @p163 :rule nary_cong :premises (@p162 @p161 @p160) :args ((or @t91 (not @t75) @t90))) % 0.39/0.62 (assume-push @p208 @t24) % 0.39/0.62 (assume-push @p209 @t62) % 0.39/0.62 (assume-push @p210 @t75) % 0.39/0.62 (step @p167 :rule evaluate :args ((= false true))) % 0.39/0.62 (step @p168 :rule true_intro :premises (@p17)) % 0.39/0.62 (step @p169 :rule symm :premises (@p209)) % 0.39/0.62 (step @p170 :rule cong :premises (@p169) :args (@t73)) % 0.39/0.62 (step @p171 :rule false_intro :premises (@p210)) % 0.39/0.62 (step @p172 :rule symm :premises (@p171)) % 0.39/0.62 (step @p173 :rule trans :premises (@p172 @p170 @p168)) % 0.39/0.62 (step @p174 false :rule eq_resolve :premises (@p173 @p167)) % 0.39/0.62 (step-pop @p211 :rule scope :premises (@p174)) % 0.39/0.62 (step-pop @p212 :rule scope :premises (@p211)) % 0.39/0.62 (step-pop @p213 :rule scope :premises (@p212)) % 0.39/0.62 (step @p175 :rule process_scope :premises (@p213) :args (false)) % 0.39/0.62 (assume-push @p214 @t62) % 0.39/0.62 (assume-push @p215 @t75) % 0.39/0.62 (assume-push @p216 @t24) % 0.39/0.62 (step @p182 :rule and_intro :premises (@p17 @p214 @p215)) % 0.39/0.62 (step-pop @p217 :rule scope :premises (@p182)) % 0.39/0.62 (step-pop @p218 :rule scope :premises (@p217)) % 0.39/0.62 (step-pop @p219 :rule scope :premises (@p218)) % 0.39/0.62 (step @p183 :rule process_scope :premises (@p219) :args (@t92)) % 0.39/0.62 (step @p187 :rule implies_elim :premises (@p183)) % 0.39/0.62 (step @p188 :rule resolution :premises (@p187 @p175) :args (true @t92)) % 0.39/0.62 (step @p189 :rule not_and :premises (@p188)) % 0.39/0.62 (step @p190 :rule eq_resolve :premises (@p189 @p163)) % 0.39/0.62 (step @p191 false :rule chain_m_resolution :premises (@p190 @p159 @p121 @p17) :args (false (@list false true false) (@list @t62 @t73 @t24))) % 0.39/0.62 ) % 0.39/0.62 % SZS output end Proof % 0.39/0.62 % cvc5 exiting %------------------------------------------------------------------------------