%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET884+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 : 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 08:48:55 AM UTC 2026 % Result : Theorem 15.21s 15.48s % Output : Proof 15.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SET884+1 : TPTP v9.2.1. Released v3.2.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 : Tue Jun 2 16:16:33 EDT 2026 % 0.09/0.25 % CPUTime : % 0.17/0.33 %----Proving TF0_NAR, FOF, or CNF % 15.21/15.48 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.21/15.48 --- Run --no-e-matching --full-saturate-quant at 6... % 15.21/15.48 % SZS status Theorem % 15.21/15.48 % SZS output start Proof % 15.21/15.48 ( % 15.21/15.48 (declare-sort $$unsorted 0) % 15.21/15.48 (declare-const tptp.empty (-> $$unsorted Bool)) % 15.21/15.48 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 15.21/15.48 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 15.21/15.48 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 15.21/15.48 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 15.21/15.48 (define @t1 () (@var "A" $$unsorted)) % 15.21/15.48 (define @t2 () (@var "B" $$unsorted)) % 15.21/15.48 (define @t3 () (@list @t1 @t2)) % 15.21/15.48 (define @t4 () (tptp.unordered_pair @t1 @t2)) % 15.21/15.48 (define @t5 () (@var "C" $$unsorted)) % 15.21/15.48 (define @t6 () (tptp.in @t5 @t2)) % 15.21/15.48 (define @t7 () (= @t6 (= @t5 @t1))) % 15.21/15.48 (define @t8 () (@list @t5)) % 15.21/15.48 (define @t9 () (forall @t8 @t7)) % 15.21/15.48 (define @t10 () (tptp.singleton @t1)) % 15.21/15.48 (define @t11 () (= @t2 @t10)) % 15.21/15.48 (define @t12 () (= @t11 @t9)) % 15.21/15.48 (define @t13 () (forall @t3 @t12)) % 15.21/15.48 (define @t14 () (@var "D" $$unsorted)) % 15.21/15.48 (define @t15 () (or (= @t14 @t1) (= @t14 @t2))) % 15.21/15.48 (define @t16 () (tptp.in @t14 @t5)) % 15.21/15.48 (define @t17 () (= @t16 @t15)) % 15.21/15.48 (define @t18 () (@list @t14)) % 15.21/15.48 (define @t19 () (forall @t18 @t17)) % 15.21/15.48 (define @t20 () (= (= @t5 @t4) @t19)) % 15.21/15.48 (define @t21 () (@list @t1 @t2 @t5)) % 15.21/15.48 (define @t22 () (forall @t21 @t20)) % 15.21/15.48 (define @t23 () (tptp.in @t5 @t1)) % 15.21/15.48 (define @t24 () (forall @t8 (=> @t23 @t6))) % 15.21/15.48 (define @t25 () (tptp.subset @t1 @t2)) % 15.21/15.48 (define @t26 () (= @t25 @t24)) % 15.21/15.48 (define @t27 () (forall @t3 @t26)) % 15.21/15.48 (define @t28 () (tptp.empty @t1)) % 15.21/15.48 (define @t29 () (@list @t1)) % 15.21/15.48 (define @t30 () (= @t1 @t5)) % 15.21/15.48 (define @t31 () (not @t30)) % 15.21/15.48 (define @t32 () (= @t1 @t2)) % 15.21/15.48 (define @t33 () (not @t32)) % 15.21/15.48 (define @t34 () (tptp.subset @t10 (tptp.unordered_pair @t2 @t5))) % 15.21/15.48 (define @t35 () (forall @t21 (not (and @t34 @t33 @t31)))) % 15.21/15.48 (define @t36 () (not @t35)) % 15.21/15.48 (define @t37 () (not @t34)) % 15.21/15.48 (define @t38 () (forall @t21 (or @t37 @t32 @t30))) % 15.21/15.48 (define @t39 () (@quantifiers_skolemize @t38 0)) % 15.21/15.48 (define @t40 () (tptp.singleton @t39)) % 15.21/15.48 (define @t41 () (tptp.in @t5 @t40)) % 15.21/15.48 (define @t42 () (forall @t8 (= (= @t5 @t39) @t41))) % 15.21/15.48 (define @t43 () (= @t39 @t5)) % 15.21/15.48 (define @t44 () (forall @t8 (= @t41 @t43))) % 15.21/15.48 (define @t45 () (= (= @t40 @t40) @t44)) % 15.21/15.48 (define @t46 () (forall @t3 (= @t11 (forall @t8 (= @t6 @t30))))) % 15.21/15.48 (define @t47 () (@list false)) % 15.21/15.48 (define @t48 () (@quantifiers_skolemize @t38 2)) % 15.21/15.48 (define @t49 () (@quantifiers_skolemize @t38 1)) % 15.21/15.48 (define @t50 () (tptp.unordered_pair @t49 @t48)) % 15.21/15.48 (define @t51 () (not @t31)) % 15.21/15.48 (define @t52 () (not @t33)) % 15.21/15.48 (define @t53 () (or @t37 @t52 @t51)) % 15.21/15.48 (define @t54 () (tptp.subset @t40 @t50)) % 15.21/15.48 (define @t55 () (= @t39 @t48)) % 15.21/15.48 (define @t56 () (= @t39 @t49)) % 15.21/15.48 (define @t57 () (not @t54)) % 15.21/15.48 (define @t58 () (or @t57 @t56 @t55)) % 15.21/15.48 (define @t59 () (@list true)) % 15.21/15.48 (define @t60 () (@list @t58)) % 15.21/15.48 (define @t61 () (forall @t8 (or (not @t41) (tptp.in @t5 @t50)))) % 15.21/15.48 (define @t62 () (= @t54 @t61)) % 15.21/15.48 (define @t63 () (@list @t39)) % 15.21/15.48 (define @t64 () (tptp.in @t14 @t50)) % 15.21/15.48 (define @t65 () (forall @t18 (= @t64 (or (= @t14 @t49) (= @t14 @t48))))) % 15.21/15.48 (define @t66 () (or (= @t49 @t14) (= @t48 @t14))) % 15.21/15.48 (define @t67 () (= @t64 @t66)) % 15.21/15.48 (define @t68 () (forall @t18 @t67)) % 15.21/15.48 (define @t69 () (= (= @t50 @t50) @t68)) % 15.21/15.48 (define @t70 () (forall @t21 (= (= @t4 @t5) (forall @t18 (= @t16 (or (= @t1 @t14) (= @t2 @t14))))))) % 15.21/15.48 (define @t71 () (or @t56 @t55)) % 15.21/15.48 (define @t72 () (not @t71)) % 15.21/15.48 (define @t73 () (tptp.in @t39 @t50)) % 15.21/15.48 (define @t74 () (= @t73 @t71)) % 15.21/15.48 (define @t75 () (not @t73)) % 15.21/15.48 (define @t76 () (@list true false)) % 15.21/15.48 (define @t77 () (tptp.in @t39 @t40)) % 15.21/15.48 (define @t78 () (not @t77)) % 15.21/15.48 (define @t79 () (or @t78 @t73)) % 15.21/15.48 (define @t80 () (= @t39 @t39)) % 15.21/15.48 (define @t81 () (= @t80 @t77)) % 15.21/15.48 (assume @p1 (forall @t3 (=> (tptp.in @t1 @t2) (not (tptp.in @t2 @t1))))) % 15.21/15.48 (assume @p2 (forall @t3 (= @t4 (tptp.unordered_pair @t2 @t1)))) % 15.21/15.48 (assume @p3 @t13) % 15.21/15.48 (assume @p4 @t22) % 15.21/15.48 (assume @p5 @t27) % 15.21/15.48 (assume @p6 (exists @t29 @t28)) % 15.21/15.48 (assume @p7 (exists @t29 (not @t28))) % 15.21/15.48 (assume @p8 (forall @t3 (tptp.subset @t1 @t1))) % 15.21/15.48 (assume @p9 @t36) % 15.21/15.48 (assume @p10 true) % 15.21/15.48 (step @p11 :rule eq-symm :args (@t5 @t1)) % 15.21/15.48 (step @p12 :rule refl :args (@t6)) % 15.21/15.48 (step @p13 :rule cong :premises (@p12 @p11) :args (@t7)) % 15.21/15.48 (step @p14 :rule cong :premises (@p13) :args (@t9)) % 15.21/15.48 (step @p15 :rule refl :args (@t11)) % 15.21/15.48 (step @p16 :rule cong :premises (@p15 @p14) :args (@t12)) % 15.21/15.48 (step @p17 :rule cong :premises (@p16) :args (@t13)) % 15.21/15.48 (step @p18 :rule eq_resolve :premises (@p3 @p17)) % 15.21/15.48 (step @p19 :rule bool-eq-true :args (@t42)) % 15.21/15.48 (step @p20 :rule eq-symm :args (true @t42)) % 15.21/15.48 (step @p21 :rule trans :premises (@p20 @p19)) % 15.21/15.48 (step @p22 :rule refl :args (@t41)) % 15.21/15.48 (step @p23 :rule eq-symm :args (@t39 @t5)) % 15.21/15.48 (step @p24 :rule cong :premises (@p23 @p22) :args ((= @t43 @t41))) % 15.21/15.48 (step @p25 :rule eq-symm :args (@t41 @t43)) % 15.21/15.48 (step @p26 :rule trans :premises (@p25 @p24)) % 15.21/15.48 (step @p27 :rule cong :premises (@p26) :args (@t44)) % 15.21/15.48 (step @p28 :rule eq-refl :args (@t40)) % 15.21/15.48 (step @p29 :rule cong :premises (@p28 @p27) :args (@t45)) % 15.21/15.48 (step @p30 :rule trans :premises (@p29 @p21)) % 15.21/15.48 (step @p31 :rule refl :args (@t46)) % 15.21/15.48 (step @p32 :rule cong :premises (@p31 @p30) :args ((=> @t46 @t45))) % 15.21/15.48 (assume-push @p134 @t46) % 15.21/15.48 (step @p34 :rule instantiate :premises (@p18) :args ((@list @t39 @t40))) % 15.21/15.48 (step-pop @p135 :rule scope :premises (@p34)) % 15.21/15.48 (step @p35 :rule process_scope :premises (@p135) :args (@t45)) % 15.21/15.48 (step @p37 :rule eq_resolve :premises (@p35 @p32)) % 15.21/15.48 (step @p38 :rule implies_elim :premises (@p37)) % 15.21/15.48 (step @p39 :rule chain_m_resolution :premises (@p38 @p18) :args (@t42 @t47 (@list @t46))) % 15.21/15.48 (step @p40 :rule bool-impl-elim :args (@t23 @t6)) % 15.21/15.48 (step @p41 :rule cong :premises (@p40) :args (@t24)) % 15.21/15.48 (step @p42 :rule refl :args (@t25)) % 15.21/15.48 (step @p43 :rule cong :premises (@p42 @p41) :args (@t26)) % 15.21/15.48 (step @p44 :rule cong :premises (@p43) :args (@t27)) % 15.21/15.48 (step @p45 :rule eq_resolve :premises (@p5 @p44)) % 15.21/15.48 (step @p46 :rule instantiate :premises (@p45) :args ((@list @t40 @t50))) % 15.21/15.48 (step @p47 :rule bool-double-not-elim :args (@t30)) % 15.21/15.48 (step @p48 :rule bool-double-not-elim :args (@t32)) % 15.21/15.48 (step @p49 :rule refl :args (@t37)) % 15.21/15.48 (step @p50 :rule nary_cong :premises (@p49 @p48 @p47) :args (@t53)) % 15.21/15.48 (step @p51 :rule aci_norm :args ((= (or @t37 (or @t52 @t51)) @t53))) % 15.21/15.48 (step @p52 :rule trans :premises (@p51 @p50)) % 15.21/15.48 (step @p53 :rule bool-and-de-morgan :args (@t33 @t31 true)) % 15.21/15.48 (step @p54 :rule nary_cong :premises (@p49 @p53) :args ((or @t37 (not (and @t33 @t31))))) % 15.21/15.48 (step @p55 :rule bool-and-de-morgan :args (@t34 @t33 (and @t31))) % 15.21/15.48 (step @p56 :rule trans :premises (@p55 @p54)) % 15.21/15.48 (step @p57 :rule trans :premises (@p56 @p52)) % 15.21/15.48 (step @p58 :rule cong :premises (@p57) :args (@t35)) % 15.21/15.48 (step @p59 :rule cong :premises (@p58) :args (@t36)) % 15.21/15.48 (step @p60 :rule eq_resolve :premises (@p9 @p59)) % 15.21/15.48 (step @p61 :rule skolemize :premises (@p60)) % 15.21/15.48 (step @p62 :rule bool-double-not-elim :args (@t54)) % 15.21/15.48 (step @p63 :rule refl :args (@t58)) % 15.21/15.48 (step @p64 :rule nary_cong :premises (@p63 @p62) :args ((or @t58 (not @t57)))) % 15.21/15.48 (step @p65 :rule cnf_or_neg :args (@t58 0)) % 15.21/15.48 (step @p66 :rule eq_resolve :premises (@p65 @p64)) % 15.21/15.48 (step @p67 :rule reordering :premises (@p66) :args ((or @t54 @t58))) % 15.21/15.48 (step @p68 :rule chain_m_resolution :premises (@p67 @p61) :args (@t54 @t59 @t60)) % 15.21/15.48 (step @p69 :rule cnf_equiv_pos1 :args (@t62)) % 15.21/15.48 (step @p70 :rule reordering :premises (@p69) :args ((or @t57 @t61 (not @t62)))) % 15.21/15.48 (step @p71 :rule chain_m_resolution :premises (@p70 @p68 @p46) :args (@t61 (@list false false) (@list @t54 @t62))) % 15.21/15.48 (step @p72 :rule instantiate :premises (@p71) :args (@t63)) % 15.21/15.48 (step @p73 :rule eq-symm :args (@t14 @t2)) % 15.21/15.48 (step @p74 :rule eq-symm :args (@t14 @t1)) % 15.21/15.48 (step @p75 :rule nary_cong :premises (@p74 @p73) :args (@t15)) % 15.21/15.48 (step @p76 :rule refl :args (@t16)) % 15.21/15.48 (step @p77 :rule cong :premises (@p76 @p75) :args (@t17)) % 15.21/15.48 (step @p78 :rule cong :premises (@p77) :args (@t19)) % 15.21/15.48 (step @p79 :rule eq-symm :args (@t5 @t4)) % 15.21/15.48 (step @p80 :rule cong :premises (@p79 @p78) :args (@t20)) % 15.21/15.48 (step @p81 :rule cong :premises (@p80) :args (@t22)) % 15.21/15.48 (step @p82 :rule eq_resolve :premises (@p4 @p81)) % 15.21/15.48 (step @p83 :rule bool-eq-true :args (@t65)) % 15.21/15.48 (step @p84 :rule eq-symm :args (true @t65)) % 15.21/15.48 (step @p85 :rule trans :premises (@p84 @p83)) % 15.21/15.48 (step @p86 :rule eq-symm :args (@t48 @t14)) % 15.21/15.48 (step @p87 :rule eq-symm :args (@t49 @t14)) % 15.21/15.48 (step @p88 :rule nary_cong :premises (@p87 @p86) :args (@t66)) % 15.21/15.48 (step @p89 :rule refl :args (@t64)) % 15.21/15.48 (step @p90 :rule cong :premises (@p89 @p88) :args (@t67)) % 15.21/15.48 (step @p91 :rule cong :premises (@p90) :args (@t68)) % 15.21/15.48 (step @p92 :rule eq-refl :args (@t50)) % 15.21/15.48 (step @p93 :rule cong :premises (@p92 @p91) :args (@t69)) % 15.21/15.48 (step @p94 :rule trans :premises (@p93 @p85)) % 15.21/15.48 (step @p95 :rule refl :args (@t70)) % 15.21/15.48 (step @p96 :rule cong :premises (@p95 @p94) :args ((=> @t70 @t69))) % 15.21/15.48 (assume-push @p136 @t70) % 15.21/15.48 (step @p98 :rule instantiate :premises (@p82) :args ((@list @t49 @t48 @t50))) % 15.21/15.48 (step-pop @p137 :rule scope :premises (@p98)) % 15.21/15.48 (step @p99 :rule process_scope :premises (@p137) :args (@t69)) % 15.21/15.48 (step @p101 :rule eq_resolve :premises (@p99 @p96)) % 15.21/15.48 (step @p102 :rule implies_elim :premises (@p101)) % 15.21/15.48 (step @p103 :rule chain_m_resolution :premises (@p102 @p82) :args (@t65 @t47 (@list @t70))) % 15.21/15.48 (step @p104 :rule instantiate :premises (@p103) :args (@t63)) % 15.21/15.48 (step @p105 :rule cnf_or_neg :args (@t58 2)) % 15.21/15.48 (step @p106 :rule chain_m_resolution :premises (@p105 @p61) :args ((not @t55) @t59 @t60)) % 15.21/15.48 (step @p107 :rule cnf_or_neg :args (@t58 1)) % 15.21/15.48 (step @p108 :rule chain_m_resolution :premises (@p107 @p61) :args ((not @t56) @t59 @t60)) % 15.21/15.48 (step @p109 :rule cnf_or_pos :args (@t71)) % 15.21/15.48 (step @p110 :rule reordering :premises (@p109) :args ((or @t56 @t55 @t72))) % 15.21/15.48 (step @p111 :rule chain_m_resolution :premises (@p110 @p108 @p106) :args (@t72 (@list true true) (@list @t56 @t55))) % 15.21/15.48 (step @p112 :rule cnf_equiv_pos1 :args (@t74)) % 15.21/15.48 (step @p113 :rule reordering :premises (@p112) :args ((or @t71 @t75 (not @t74)))) % 15.21/15.48 (step @p114 :rule chain_m_resolution :premises (@p113 @p111 @p104) :args (@t75 @t76 (@list @t71 @t74))) % 15.21/15.48 (step @p115 :rule cnf_or_pos :args (@t79)) % 15.21/15.48 (step @p116 :rule reordering :premises (@p115) :args ((or @t73 @t78 (not @t79)))) % 15.21/15.48 (step @p117 :rule chain_m_resolution :premises (@p116 @p114 @p72) :args (@t78 @t76 (@list @t73 @t79))) % 15.21/15.48 (step @p118 :rule bool-eq-true :args (@t77)) % 15.21/15.48 (step @p119 :rule eq-refl :args (@t39)) % 15.21/15.48 (step @p120 :rule refl :args (@t77)) % 15.21/15.48 (step @p121 :rule cong :premises (@p120 @p119) :args ((= @t77 @t80))) % 15.21/15.48 (step @p122 :rule trans :premises (@p121 @p118)) % 15.21/15.48 (step @p123 :rule eq-symm :args (@t80 @t77)) % 15.21/15.48 (step @p124 :rule trans :premises (@p123 @p122)) % 15.21/15.48 (step @p125 :rule refl :args (@t42)) % 15.21/15.48 (step @p126 :rule cong :premises (@p125 @p124) :args ((=> @t42 @t81))) % 15.21/15.48 (assume-push @p138 @t42) % 15.21/15.48 (step @p128 :rule instantiate :premises (@p39) :args (@t63)) % 15.21/15.48 (step-pop @p139 :rule scope :premises (@p128)) % 15.21/15.48 (step @p129 :rule process_scope :premises (@p139) :args (@t81)) % 15.21/15.48 (step @p131 :rule eq_resolve :premises (@p129 @p126)) % 15.21/15.48 (step @p132 :rule implies_elim :premises (@p131)) % 15.21/15.48 (step @p133 false :rule chain_m_resolution :premises (@p132 @p117 @p39) :args (false @t76 (@list @t77 @t42))) % 15.21/15.48 ) % 15.21/15.48 % SZS output end Proof % 15.21/15.48 % cvc5 exiting %------------------------------------------------------------------------------