%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET918+1 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n025.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 08:48:59 AM UTC 2026 % Result : Theorem 27.53s 27.74s % Output : Proof 27.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET918+1 : TPTP v9.2.1. Released v3.2.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n025.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 16:17:46 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_NAR, FOF, or CNF % 27.53/27.74 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 27.53/27.74 --- Run --no-e-matching --full-saturate-quant at 6... % 27.53/27.74 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.53/27.74 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 27.53/27.74 % SZS status Theorem % 27.53/27.74 % SZS output start Proof % 27.53/27.74 ( % 27.53/27.74 (declare-sort $$unsorted 0) % 27.53/27.74 (declare-const tptp.empty (-> $$unsorted Bool)) % 27.53/27.74 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 27.53/27.74 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 27.53/27.74 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 27.53/27.74 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 27.53/27.74 (define @t1 () (@var "A" $$unsorted)) % 27.53/27.74 (define @t2 () (@var "B" $$unsorted)) % 27.53/27.74 (define @t3 () (@list @t1 @t2)) % 27.53/27.74 (define @t4 () (tptp.unordered_pair @t1 @t2)) % 27.53/27.74 (define @t5 () (tptp.set_intersection2 @t1 @t2)) % 27.53/27.74 (define @t6 () (@var "C" $$unsorted)) % 27.53/27.74 (define @t7 () (tptp.in @t6 @t2)) % 27.53/27.74 (define @t8 () (= @t7 (= @t6 @t1))) % 27.53/27.74 (define @t9 () (@list @t6)) % 27.53/27.74 (define @t10 () (forall @t9 @t8)) % 27.53/27.74 (define @t11 () (tptp.singleton @t1)) % 27.53/27.74 (define @t12 () (= @t2 @t11)) % 27.53/27.74 (define @t13 () (= @t12 @t10)) % 27.53/27.74 (define @t14 () (forall @t3 @t13)) % 27.53/27.74 (define @t15 () (@var "D" $$unsorted)) % 27.53/27.74 (define @t16 () (or (= @t15 @t1) (= @t15 @t2))) % 27.53/27.74 (define @t17 () (tptp.in @t15 @t6)) % 27.53/27.74 (define @t18 () (= @t17 @t16)) % 27.53/27.74 (define @t19 () (@list @t15)) % 27.53/27.74 (define @t20 () (forall @t19 @t18)) % 27.53/27.74 (define @t21 () (= (= @t6 @t4) @t20)) % 27.53/27.74 (define @t22 () (@list @t1 @t2 @t6)) % 27.53/27.74 (define @t23 () (forall @t22 @t21)) % 27.53/27.74 (define @t24 () (forall @t19 (= @t17 (and (tptp.in @t15 @t1) (tptp.in @t15 @t2))))) % 27.53/27.74 (define @t25 () (= (= @t6 @t5) @t24)) % 27.53/27.74 (define @t26 () (forall @t22 @t25)) % 27.53/27.74 (define @t27 () (tptp.empty @t1)) % 27.53/27.74 (define @t28 () (@list @t1)) % 27.53/27.74 (define @t29 () (= @t1 @t2)) % 27.53/27.74 (define @t30 () (not @t29)) % 27.53/27.74 (define @t31 () (tptp.in @t2 @t6)) % 27.53/27.74 (define @t32 () (tptp.set_intersection2 @t4 @t6)) % 27.53/27.74 (define @t33 () (and (= @t32 @t11) @t31 @t30)) % 27.53/27.74 (define @t34 () (not @t33)) % 27.53/27.74 (define @t35 () (forall @t22 @t34)) % 27.53/27.74 (define @t36 () (not @t35)) % 27.53/27.74 (define @t37 () (not @t31)) % 27.53/27.74 (define @t38 () (= @t11 @t32)) % 27.53/27.74 (define @t39 () (not @t38)) % 27.53/27.74 (define @t40 () (forall @t22 (or @t39 @t37 @t29))) % 27.53/27.74 (define @t41 () (@quantifiers_skolemize @t40 0)) % 27.53/27.74 (define @t42 () (tptp.singleton @t41)) % 27.53/27.74 (define @t43 () (tptp.in @t6 @t42)) % 27.53/27.74 (define @t44 () (forall @t9 (= @t43 (= @t6 @t41)))) % 27.53/27.74 (define @t45 () (= @t43 (= @t41 @t6))) % 27.53/27.74 (define @t46 () (forall @t9 @t45)) % 27.53/27.74 (define @t47 () (= (= @t42 @t42) @t46)) % 27.53/27.74 (define @t48 () (forall @t3 (= @t12 (forall @t9 (= @t7 (= @t1 @t6)))))) % 27.53/27.74 (define @t49 () (@list false)) % 27.53/27.74 (define @t50 () (@quantifiers_skolemize @t40 1)) % 27.53/27.74 (define @t51 () (tptp.in @t50 @t42)) % 27.53/27.74 (define @t52 () (= @t41 @t50)) % 27.53/27.74 (define @t53 () (= @t50 @t41)) % 27.53/27.74 (define @t54 () (= @t51 @t53)) % 27.53/27.74 (define @t55 () (@list @t50)) % 27.53/27.74 (define @t56 () (= @t52 @t51)) % 27.53/27.74 (define @t57 () (not @t30)) % 27.53/27.74 (define @t58 () (or @t39 @t37 @t57)) % 27.53/27.74 (define @t59 () (@quantifiers_skolemize @t40 2)) % 27.53/27.74 (define @t60 () (tptp.in @t50 @t59)) % 27.53/27.74 (define @t61 () (not @t60)) % 27.53/27.74 (define @t62 () (tptp.unordered_pair @t41 @t50)) % 27.53/27.74 (define @t63 () (tptp.set_intersection2 @t62 @t59)) % 27.53/27.74 (define @t64 () (= @t42 @t63)) % 27.53/27.74 (define @t65 () (not @t64)) % 27.53/27.74 (define @t66 () (or @t65 @t61 @t52)) % 27.53/27.74 (define @t67 () (@list true)) % 27.53/27.74 (define @t68 () (@list @t66)) % 27.53/27.74 (define @t69 () (not @t51)) % 27.53/27.74 (define @t70 () (tptp.in @t15 @t62)) % 27.53/27.74 (define @t71 () (forall @t19 (= @t70 (or (= @t15 @t41) (= @t15 @t50))))) % 27.53/27.74 (define @t72 () (or (= @t41 @t15) (= @t50 @t15))) % 27.53/27.74 (define @t73 () (= @t70 @t72)) % 27.53/27.74 (define @t74 () (forall @t19 @t73)) % 27.53/27.74 (define @t75 () (= (= @t62 @t62) @t74)) % 27.53/27.74 (define @t76 () (forall @t22 (= (= @t4 @t6) (forall @t19 (= @t17 (or (= @t1 @t15) (= @t2 @t15))))))) % 27.53/27.74 (define @t77 () (tptp.in @t50 @t62)) % 27.53/27.74 (define @t78 () (or @t53 (= @t50 @t50))) % 27.53/27.74 (define @t79 () (= @t77 @t78)) % 27.53/27.74 (define @t80 () (and @t77 @t60)) % 27.53/27.74 (define @t81 () (@list false false)) % 27.53/27.74 (define @t82 () (= @t5 @t6)) % 27.53/27.74 (define @t83 () (tptp.in @t15 @t42)) % 27.53/27.74 (define @t84 () (and @t70 (tptp.in @t15 @t59))) % 27.53/27.74 (define @t85 () (forall @t19 (= @t83 @t84))) % 27.53/27.74 (define @t86 () (= @t63 @t42)) % 27.53/27.74 (define @t87 () (forall @t22 (= @t24 @t82))) % 27.53/27.74 (define @t88 () (= @t85 @t86)) % 27.53/27.74 (define @t89 () (forall @t19 (= @t84 @t83))) % 27.53/27.74 (define @t90 () (= @t64 @t89)) % 27.53/27.74 (define @t91 () (= @t80 @t51)) % 27.53/27.74 (define @t92 () (= @t51 @t80)) % 27.53/27.74 (assume @p1 (forall @t3 (=> (tptp.in @t1 @t2) (not (tptp.in @t2 @t1))))) % 27.53/27.74 (assume @p2 (forall @t3 (= @t4 (tptp.unordered_pair @t2 @t1)))) % 27.53/27.74 (assume @p3 (forall @t3 (= @t5 (tptp.set_intersection2 @t2 @t1)))) % 27.53/27.74 (assume @p4 @t14) % 27.53/27.74 (assume @p5 @t23) % 27.53/27.74 (assume @p6 @t26) % 27.53/27.74 (assume @p7 (forall @t3 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 27.53/27.74 (assume @p8 (exists @t28 @t27)) % 27.53/27.74 (assume @p9 (exists @t28 (not @t27))) % 27.53/27.74 (assume @p10 @t36) % 27.53/27.74 (assume @p11 true) % 27.53/27.74 (step @p12 :rule eq-symm :args (@t6 @t1)) % 27.53/27.74 (step @p13 :rule refl :args (@t7)) % 27.53/27.74 (step @p14 :rule cong :premises (@p13 @p12) :args (@t8)) % 27.53/27.74 (step @p15 :rule cong :premises (@p14) :args (@t10)) % 27.53/27.74 (step @p16 :rule refl :args (@t12)) % 27.53/27.74 (step @p17 :rule cong :premises (@p16 @p15) :args (@t13)) % 27.53/27.74 (step @p18 :rule cong :premises (@p17) :args (@t14)) % 27.53/27.74 (step @p19 :rule eq_resolve :premises (@p4 @p18)) % 27.53/27.74 (step @p20 :rule bool-eq-true :args (@t44)) % 27.53/27.74 (step @p21 :rule eq-symm :args (true @t44)) % 27.53/27.74 (step @p22 :rule trans :premises (@p21 @p20)) % 27.53/27.74 (step @p23 :rule eq-symm :args (@t41 @t6)) % 27.53/27.74 (step @p24 :rule refl :args (@t43)) % 27.53/27.74 (step @p25 :rule cong :premises (@p24 @p23) :args (@t45)) % 27.53/27.74 (step @p26 :rule cong :premises (@p25) :args (@t46)) % 27.53/27.74 (step @p27 :rule eq-refl :args (@t42)) % 27.53/27.74 (step @p28 :rule cong :premises (@p27 @p26) :args (@t47)) % 27.53/27.74 (step @p29 :rule trans :premises (@p28 @p22)) % 27.53/27.74 (step @p30 :rule refl :args (@t48)) % 27.53/27.74 (step @p31 :rule cong :premises (@p30 @p29) :args ((=> @t48 @t47))) % 27.53/27.74 (assume-push @p182 @t48) % 27.53/27.74 (step @p33 :rule instantiate :premises (@p19) :args ((@list @t41 @t42))) % 27.53/27.74 (step-pop @p183 :rule scope :premises (@p33)) % 27.53/27.74 (step @p34 :rule process_scope :premises (@p183) :args (@t47)) % 27.53/27.74 (step @p36 :rule eq_resolve :premises (@p34 @p31)) % 27.53/27.74 (step @p37 :rule implies_elim :premises (@p36)) % 27.53/27.74 (step @p38 :rule chain_m_resolution :premises (@p37 @p19) :args (@t44 @t49 (@list @t48))) % 27.53/27.74 (step @p39 :rule eq-symm :args (@t51 @t52)) % 27.53/27.74 (step @p40 :rule eq-symm :args (@t50 @t41)) % 27.53/27.74 (step @p41 :rule refl :args (@t51)) % 27.53/27.74 (step @p42 :rule cong :premises (@p41 @p40) :args (@t54)) % 27.53/27.74 (step @p43 :rule trans :premises (@p42 @p39)) % 27.53/27.74 (step @p44 :rule refl :args (@t44)) % 27.53/27.74 (step @p45 :rule cong :premises (@p44 @p43) :args ((=> @t44 @t54))) % 27.53/27.74 (assume-push @p184 @t44) % 27.53/27.74 (step @p47 :rule instantiate :premises (@p38) :args (@t55)) % 27.53/27.74 (step-pop @p185 :rule scope :premises (@p47)) % 27.53/27.74 (step @p48 :rule process_scope :premises (@p185) :args (@t54)) % 27.53/27.74 (step @p50 :rule eq_resolve :premises (@p48 @p45)) % 27.53/27.74 (step @p51 :rule implies_elim :premises (@p50)) % 27.53/27.74 (step @p52 :rule chain_m_resolution :premises (@p51 @p38) :args (@t56 @t49 (@list @t44))) % 27.53/27.74 (step @p53 :rule bool-double-not-elim :args (@t29)) % 27.53/27.74 (step @p54 :rule refl :args (@t37)) % 27.53/27.74 (step @p55 :rule refl :args (@t39)) % 27.53/27.74 (step @p56 :rule nary_cong :premises (@p55 @p54 @p53) :args (@t58)) % 27.53/27.74 (step @p57 :rule aci_norm :args ((= (or @t39 (or @t37 @t57)) @t58))) % 27.53/27.74 (step @p58 :rule trans :premises (@p57 @p56)) % 27.53/27.74 (step @p59 :rule bool-and-de-morgan :args (@t31 @t30 true)) % 27.53/27.74 (step @p60 :rule nary_cong :premises (@p55 @p59) :args ((or @t39 (not (and @t31 @t30))))) % 27.53/27.74 (step @p61 :rule bool-and-de-morgan :args (@t38 @t31 (and @t30))) % 27.53/27.74 (step @p62 :rule trans :premises (@p61 @p60)) % 27.53/27.74 (step @p63 :rule trans :premises (@p62 @p58)) % 27.53/27.74 (step @p64 :rule cong :premises (@p63) :args ((forall @t22 (not (and @t38 @t31 @t30))))) % 27.53/27.74 (step @p65 :rule refl :args (@t30)) % 27.53/27.74 (step @p66 :rule refl :args (@t31)) % 27.53/27.74 (step @p67 :rule eq-symm :args (@t32 @t11)) % 27.53/27.74 (step @p68 :rule nary_cong :premises (@p67 @p66 @p65) :args (@t33)) % 27.53/27.74 (step @p69 :rule cong :premises (@p68) :args (@t34)) % 27.53/27.74 (step @p70 :rule cong :premises (@p69) :args (@t35)) % 27.53/27.74 (step @p71 :rule trans :premises (@p70 @p64)) % 27.53/27.74 (step @p72 :rule cong :premises (@p71) :args (@t36)) % 27.53/27.74 (step @p73 :rule eq_resolve :premises (@p10 @p72)) % 27.53/27.74 (step @p74 :rule skolemize :premises (@p73)) % 27.53/27.74 (step @p75 :rule cnf_or_neg :args (@t66 2)) % 27.53/27.74 (step @p76 :rule chain_m_resolution :premises (@p75 @p74) :args ((not @t52) @t67 @t68)) % 27.53/27.74 (step @p77 :rule cnf_equiv_pos2 :args (@t56)) % 27.53/27.74 (step @p78 :rule reordering :premises (@p77) :args ((or @t52 @t69 (not @t56)))) % 27.53/27.74 (step @p79 :rule chain_m_resolution :premises (@p78 @p76 @p52) :args (@t69 (@list true false) (@list @t52 @t56))) % 27.53/27.74 (step @p80 :rule eq-symm :args (@t15 @t2)) % 27.53/27.74 (step @p81 :rule eq-symm :args (@t15 @t1)) % 27.53/27.74 (step @p82 :rule nary_cong :premises (@p81 @p80) :args (@t16)) % 27.53/27.74 (step @p83 :rule refl :args (@t17)) % 27.53/27.74 (step @p84 :rule cong :premises (@p83 @p82) :args (@t18)) % 27.53/27.74 (step @p85 :rule cong :premises (@p84) :args (@t20)) % 27.53/27.74 (step @p86 :rule eq-symm :args (@t6 @t4)) % 27.53/27.74 (step @p87 :rule cong :premises (@p86 @p85) :args (@t21)) % 27.53/27.74 (step @p88 :rule cong :premises (@p87) :args (@t23)) % 27.53/27.74 (step @p89 :rule eq_resolve :premises (@p5 @p88)) % 27.53/27.74 (step @p90 :rule bool-eq-true :args (@t71)) % 27.53/27.74 (step @p91 :rule eq-symm :args (true @t71)) % 27.53/27.74 (step @p92 :rule trans :premises (@p91 @p90)) % 27.53/27.74 (step @p93 :rule eq-symm :args (@t50 @t15)) % 27.53/27.74 (step @p94 :rule eq-symm :args (@t41 @t15)) % 27.53/27.74 (step @p95 :rule nary_cong :premises (@p94 @p93) :args (@t72)) % 27.53/27.74 (step @p96 :rule refl :args (@t70)) % 27.53/27.74 (step @p97 :rule cong :premises (@p96 @p95) :args (@t73)) % 27.53/27.74 (step @p98 :rule cong :premises (@p97) :args (@t74)) % 27.53/27.74 (step @p99 :rule eq-refl :args (@t62)) % 27.53/27.74 (step @p100 :rule cong :premises (@p99 @p98) :args (@t75)) % 27.53/27.74 (step @p101 :rule trans :premises (@p100 @p92)) % 27.53/27.74 (step @p102 :rule refl :args (@t76)) % 27.53/27.74 (step @p103 :rule cong :premises (@p102 @p101) :args ((=> @t76 @t75))) % 27.53/27.74 (assume-push @p186 @t76) % 27.53/27.74 (step @p105 :rule instantiate :premises (@p89) :args ((@list @t41 @t50 @t62))) % 27.53/27.74 (step-pop @p187 :rule scope :premises (@p105)) % 27.53/27.74 (step @p106 :rule process_scope :premises (@p187) :args (@t75)) % 27.53/27.74 (step @p108 :rule eq_resolve :premises (@p106 @p103)) % 27.53/27.74 (step @p109 :rule implies_elim :premises (@p108)) % 27.53/27.74 (step @p110 :rule chain_m_resolution :premises (@p109 @p89) :args (@t71 @t49 (@list @t76))) % 27.53/27.74 (step @p111 :rule bool-eq-true :args (@t77)) % 27.53/27.74 (step @p112 :rule absorb :args ((= (or @t52 true) true))) % 27.53/27.74 (step @p113 :rule eq-refl :args (@t50)) % 27.53/27.74 (step @p114 :rule nary_cong :premises (@p40 @p113) :args (@t78)) % 27.53/27.74 (step @p115 :rule trans :premises (@p114 @p112)) % 27.53/27.74 (step @p116 :rule refl :args (@t77)) % 27.53/27.74 (step @p117 :rule cong :premises (@p116 @p115) :args (@t79)) % 27.53/27.74 (step @p118 :rule trans :premises (@p117 @p111)) % 27.53/27.74 (step @p119 :rule refl :args (@t71)) % 27.53/27.74 (step @p120 :rule cong :premises (@p119 @p118) :args ((=> @t71 @t79))) % 27.53/27.74 (assume-push @p188 @t71) % 27.53/27.74 (step @p122 :rule instantiate :premises (@p110) :args (@t55)) % 27.53/27.74 (step-pop @p189 :rule scope :premises (@p122)) % 27.53/27.74 (step @p123 :rule process_scope :premises (@p189) :args (@t79)) % 27.53/27.74 (step @p125 :rule eq_resolve :premises (@p123 @p120)) % 27.53/27.74 (step @p126 :rule implies_elim :premises (@p125)) % 27.53/27.74 (step @p127 :rule chain_m_resolution :premises (@p126 @p110) :args (@t77 @t49 (@list @t71))) % 27.53/27.74 (step @p128 :rule bool-double-not-elim :args (@t60)) % 27.53/27.74 (step @p129 :rule refl :args (@t66)) % 27.53/27.74 (step @p130 :rule nary_cong :premises (@p129 @p128) :args ((or @t66 (not @t61)))) % 27.53/27.74 (step @p131 :rule cnf_or_neg :args (@t66 1)) % 27.53/27.74 (step @p132 :rule eq_resolve :premises (@p131 @p130)) % 27.53/27.74 (step @p133 :rule reordering :premises (@p132) :args ((or @t60 @t66))) % 27.53/27.74 (step @p134 :rule chain_m_resolution :premises (@p133 @p74) :args (@t60 @t67 @t68)) % 27.53/27.74 (step @p135 :rule cnf_and_neg :args (@t80)) % 27.53/27.74 (step @p136 :rule reordering :premises (@p135) :args ((or @t61 (not @t77) @t80))) % 27.53/27.74 (step @p137 :rule chain_m_resolution :premises (@p136 @p134 @p127) :args (@t80 @t81 (@list @t60 @t77))) % 27.53/27.74 (step @p138 :rule eq-symm :args (@t82 @t24)) % 27.53/27.74 (step @p139 :rule refl :args (@t24)) % 27.53/27.74 (step @p140 :rule eq-symm :args (@t6 @t5)) % 27.53/27.74 (step @p141 :rule cong :premises (@p140 @p139) :args (@t25)) % 27.53/27.74 (step @p142 :rule trans :premises (@p141 @p138)) % 27.53/27.74 (step @p143 :rule cong :premises (@p142) :args (@t26)) % 27.53/27.74 (step @p144 :rule eq_resolve :premises (@p6 @p143)) % 27.53/27.74 (step @p145 :rule eq-symm :args (@t83 @t84)) % 27.53/27.74 (step @p146 :rule cong :premises (@p145) :args (@t85)) % 27.53/27.74 (step @p147 :rule eq-symm :args (@t63 @t42)) % 27.53/27.74 (step @p148 :rule cong :premises (@p147 @p146) :args ((= @t86 @t85))) % 27.53/27.74 (step @p149 :rule eq-symm :args (@t85 @t86)) % 27.53/27.74 (step @p150 :rule trans :premises (@p149 @p148)) % 27.53/27.74 (step @p151 :rule refl :args (@t87)) % 27.53/27.74 (step @p152 :rule cong :premises (@p151 @p150) :args ((=> @t87 @t88))) % 27.53/27.74 (assume-push @p190 @t87) % 27.53/27.74 (step @p154 :rule instantiate :premises (@p144) :args ((@list @t62 @t59 @t42))) % 27.53/27.74 (step-pop @p191 :rule scope :premises (@p154)) % 27.53/27.74 (step @p155 :rule process_scope :premises (@p191) :args (@t88)) % 27.53/27.74 (step @p157 :rule eq_resolve :premises (@p155 @p152)) % 27.53/27.74 (step @p158 :rule implies_elim :premises (@p157)) % 27.53/27.74 (step @p159 :rule chain_m_resolution :premises (@p158 @p144) :args (@t90 @t49 (@list @t87))) % 27.53/27.74 (step @p160 :rule bool-double-not-elim :args (@t64)) % 27.53/27.74 (step @p161 :rule nary_cong :premises (@p129 @p160) :args ((or @t66 (not @t65)))) % 27.53/27.74 (step @p162 :rule cnf_or_neg :args (@t66 0)) % 27.53/27.74 (step @p163 :rule eq_resolve :premises (@p162 @p161)) % 27.53/27.74 (step @p164 :rule reordering :premises (@p163) :args ((or @t64 @t66))) % 27.53/27.74 (step @p165 :rule chain_m_resolution :premises (@p164 @p74) :args (@t64 @t67 @t68)) % 27.53/27.74 (step @p166 :rule cnf_equiv_pos1 :args (@t90)) % 27.53/27.74 (step @p167 :rule reordering :premises (@p166) :args ((or @t65 @t89 (not @t90)))) % 27.53/27.74 (step @p168 :rule chain_m_resolution :premises (@p167 @p165 @p159) :args (@t89 @t81 (@list @t64 @t90))) % 27.53/27.74 (step @p169 :rule eq-symm :args (@t80 @t51)) % 27.53/27.74 (step @p170 :rule refl :args (@t89)) % 27.53/27.74 (step @p171 :rule cong :premises (@p170 @p169) :args ((=> @t89 @t91))) % 27.53/27.74 (assume-push @p192 @t89) % 27.53/27.74 (step @p173 :rule instantiate :premises (@p168) :args (@t55)) % 27.53/27.74 (step-pop @p193 :rule scope :premises (@p173)) % 27.53/27.74 (step @p174 :rule process_scope :premises (@p193) :args (@t91)) % 27.53/27.74 (step @p176 :rule eq_resolve :premises (@p174 @p171)) % 27.53/27.74 (step @p177 :rule implies_elim :premises (@p176)) % 27.53/27.74 (step @p178 :rule chain_m_resolution :premises (@p177 @p168) :args (@t92 @t49 (@list @t89))) % 27.53/27.74 (step @p179 :rule cnf_equiv_pos2 :args (@t92)) % 27.53/27.74 (step @p180 :rule reordering :premises (@p179) :args ((or @t51 (not @t80) (not @t92)))) % 27.53/27.74 (step @p181 false :rule chain_m_resolution :premises (@p180 @p178 @p137 @p79) :args (false (@list false false true) (@list @t92 @t80 @t51))) % 27.53/27.74 ) % 27.53/27.74 % SZS output end Proof % 27.53/27.74 % cvc5 exiting %------------------------------------------------------------------------------