%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET932+1 : 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 08:49:01 AM UTC 2026 % Result : Theorem 25.15s 25.40s % Output : Proof 22.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET932+1 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n010.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 16:17:55 EDT 2026 % 0.15/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 25.15/25.40 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 25.15/25.40 --- Run --no-e-matching --full-saturate-quant at 6... % 25.15/25.40 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 25.15/25.40 % SZS status Theorem % 25.15/25.40 % SZS output start Proof % 25.15/25.40 ( % 25.15/25.40 (declare-sort $$unsorted 0) % 25.15/25.40 (declare-const tptp.empty (-> $$unsorted Bool)) % 25.15/25.40 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 25.15/25.40 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 25.15/25.40 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 25.15/25.40 (define @t1 () (@var "A" $$unsorted)) % 25.15/25.40 (define @t2 () (@var "B" $$unsorted)) % 25.15/25.40 (define @t3 () (@list @t1 @t2)) % 25.15/25.40 (define @t4 () (@var "C" $$unsorted)) % 25.15/25.40 (define @t5 () (tptp.in @t4 @t2)) % 25.15/25.40 (define @t6 () (@list @t4)) % 25.15/25.40 (define @t7 () (tptp.powerset @t1)) % 25.15/25.40 (define @t8 () (forall @t3 (= (= @t2 @t7) (forall @t6 (= @t5 (tptp.subset @t4 @t1)))))) % 25.15/25.40 (define @t9 () (tptp.in @t4 @t1)) % 25.15/25.40 (define @t10 () (forall @t6 (=> @t9 @t5))) % 25.15/25.40 (define @t11 () (tptp.subset @t1 @t2)) % 25.15/25.40 (define @t12 () (= @t11 @t10)) % 25.15/25.40 (define @t13 () (forall @t3 @t12)) % 25.15/25.40 (define @t14 () (tptp.empty @t1)) % 25.15/25.40 (define @t15 () (@list @t1)) % 25.15/25.40 (define @t16 () (tptp.subset @t1 @t4)) % 25.15/25.40 (define @t17 () (tptp.subset @t2 @t4)) % 25.15/25.40 (define @t18 () (and @t11 @t17)) % 25.15/25.40 (define @t19 () (@list @t1 @t2 @t4)) % 25.15/25.40 (define @t20 () (forall @t19 (=> @t18 @t16))) % 25.15/25.40 (define @t21 () (tptp.subset @t7 (tptp.powerset @t2))) % 25.15/25.40 (define @t22 () (forall @t3 (=> @t11 @t21))) % 25.15/25.40 (define @t23 () (not @t22)) % 25.15/25.40 (define @t24 () (not @t17)) % 25.15/25.40 (define @t25 () (not @t11)) % 25.15/25.40 (define @t26 () (or @t25 @t24 @t16)) % 25.15/25.40 (define @t27 () (forall @t3 (or @t25 @t21))) % 25.15/25.40 (define @t28 () (@quantifiers_skolemize @t27 0)) % 25.15/25.40 (define @t29 () (tptp.powerset @t28)) % 25.15/25.40 (define @t30 () (tptp.in @t4 @t29)) % 25.15/25.40 (define @t31 () (tptp.subset @t4 @t28)) % 25.15/25.40 (define @t32 () (forall @t6 (= @t31 @t30))) % 25.15/25.40 (define @t33 () (forall @t6 (= @t30 @t31))) % 25.15/25.40 (define @t34 () (= (= @t29 @t29) @t33)) % 25.15/25.40 (define @t35 () (@list false)) % 25.15/25.40 (define @t36 () (@list @t8)) % 25.15/25.40 (define @t37 () (@quantifiers_skolemize @t27 1)) % 25.15/25.40 (define @t38 () (tptp.powerset @t37)) % 25.15/25.40 (define @t39 () (tptp.in @t4 @t38)) % 25.15/25.40 (define @t40 () (forall @t6 (or (not @t30) @t39))) % 25.15/25.40 (define @t41 () (@quantifiers_skolemize @t40 0)) % 25.15/25.40 (define @t42 () (tptp.subset @t41 @t28)) % 25.15/25.40 (define @t43 () (tptp.in @t41 @t29)) % 25.15/25.40 (define @t44 () (= @t42 @t43)) % 25.15/25.40 (define @t45 () (@list @t41)) % 25.15/25.40 (define @t46 () (= @t43 @t42)) % 25.15/25.40 (define @t47 () (tptp.subset @t29 @t38)) % 25.15/25.40 (define @t48 () (tptp.subset @t28 @t37)) % 25.15/25.40 (define @t49 () (not @t48)) % 25.15/25.40 (define @t50 () (or @t49 @t47)) % 25.15/25.40 (define @t51 () (@list true)) % 25.15/25.40 (define @t52 () (@list @t50)) % 25.15/25.40 (define @t53 () (= @t47 @t40)) % 25.15/25.40 (define @t54 () (not @t40)) % 25.15/25.40 (define @t55 () (@list true false)) % 25.15/25.40 (define @t56 () (tptp.in @t41 @t38)) % 25.15/25.40 (define @t57 () (not @t43)) % 25.15/25.40 (define @t58 () (or @t57 @t56)) % 25.15/25.40 (define @t59 () (@list @t58)) % 25.15/25.40 (define @t60 () (tptp.subset @t4 @t37)) % 25.15/25.40 (define @t61 () (forall @t6 (= @t60 @t39))) % 25.15/25.40 (define @t62 () (forall @t6 (= @t39 @t60))) % 25.15/25.40 (define @t63 () (= (= @t38 @t38) @t62)) % 25.15/25.40 (define @t64 () (tptp.subset @t41 @t37)) % 25.15/25.40 (define @t65 () (= @t64 @t56)) % 25.15/25.40 (define @t66 () (= @t56 @t64)) % 25.15/25.40 (define @t67 () (not @t64)) % 25.15/25.40 (define @t68 () (not @t42)) % 25.15/25.40 (define @t69 () (or @t68 @t49 @t64)) % 25.15/25.40 (define @t70 () (not @t69)) % 25.15/25.40 (define @t71 () (forall @t19 @t26)) % 25.15/25.40 (assume @p1 (forall @t3 (=> (tptp.in @t1 @t2) (not (tptp.in @t2 @t1))))) % 25.15/25.40 (assume @p2 @t8) % 25.15/25.40 (assume @p3 @t13) % 25.15/25.40 (assume @p4 (exists @t15 @t14)) % 25.15/25.40 (assume @p5 (exists @t15 (not @t14))) % 25.15/25.40 (assume @p6 (forall @t3 (tptp.subset @t1 @t1))) % 25.15/25.40 (assume @p7 @t20) % 25.15/25.40 (assume @p8 @t23) % 25.15/25.40 (assume @p9 true) % 25.15/25.40 (step @p10 :rule aci_norm :args ((= (or (or @t25 @t24) @t16) @t26))) % 25.15/25.40 (step @p11 :rule refl :args (@t16)) % 25.15/25.40 (step @p12 :rule bool-and-de-morgan :args (@t11 @t17 true)) % 25.15/25.40 (step @p13 :rule nary_cong :premises (@p12 @p11) :args ((or (not @t18) @t16))) % 25.15/25.40 (step @p14 :rule trans :premises (@p13 @p10)) % 25.15/25.40 (step @p15 :rule bool-impl-elim :args (@t18 @t16)) % 25.15/25.40 (step @p16 :rule trans :premises (@p15 @p14)) % 25.15/25.40 (step @p17 :rule cong :premises (@p16) :args (@t20)) % 25.15/25.40 (step @p18 :rule eq_resolve :premises (@p7 @p17)) % 25.15/25.40 (step @p19 :rule bool-eq-true :args (@t32)) % 25.15/25.40 (step @p20 :rule eq-symm :args (true @t32)) % 25.15/25.40 (step @p21 :rule trans :premises (@p20 @p19)) % 25.15/25.40 (step @p22 :rule eq-symm :args (@t30 @t31)) % 25.15/25.40 (step @p23 :rule cong :premises (@p22) :args (@t33)) % 25.15/25.40 (step @p24 :rule eq-refl :args (@t29)) % 25.15/25.40 (step @p25 :rule cong :premises (@p24 @p23) :args (@t34)) % 25.15/25.40 (step @p26 :rule trans :premises (@p25 @p21)) % 25.15/25.40 (step @p27 :rule refl :args (@t8)) % 25.15/25.40 (step @p28 :rule cong :premises (@p27 @p26) :args ((=> @t8 @t34))) % 25.15/25.40 (assume-push @p121 @t8) % 25.15/25.40 (step @p30 :rule instantiate :premises (@p2) :args ((@list @t28 @t29))) % 25.15/25.40 (step-pop @p122 :rule scope :premises (@p30)) % 25.15/25.40 (step @p31 :rule process_scope :premises (@p122) :args (@t34)) % 25.15/25.40 (step @p33 :rule eq_resolve :premises (@p31 @p28)) % 25.15/25.40 (step @p34 :rule implies_elim :premises (@p33)) % 25.15/25.40 (step @p35 :rule chain_m_resolution :premises (@p34 @p2) :args (@t32 @t35 @t36)) % 25.15/25.40 (step @p36 :rule eq-symm :args (@t42 @t43)) % 25.15/25.40 (step @p37 :rule refl :args (@t32)) % 25.15/25.40 (step @p38 :rule cong :premises (@p37 @p36) :args ((=> @t32 @t44))) % 25.15/25.40 (assume-push @p123 @t32) % 25.15/25.40 (step @p40 :rule instantiate :premises (@p35) :args (@t45)) % 25.15/25.40 (step-pop @p124 :rule scope :premises (@p40)) % 25.15/25.40 (step @p41 :rule process_scope :premises (@p124) :args (@t44)) % 25.15/25.40 (step @p43 :rule eq_resolve :premises (@p41 @p38)) % 25.15/25.40 (step @p44 :rule implies_elim :premises (@p43)) % 25.15/25.40 (step @p45 :rule chain_m_resolution :premises (@p44 @p35) :args (@t46 @t35 (@list @t32))) % 25.15/25.40 (step @p46 :rule bool-impl-elim :args (@t9 @t5)) % 25.15/25.40 (step @p47 :rule cong :premises (@p46) :args (@t10)) % 25.15/25.40 (step @p48 :rule refl :args (@t11)) % 25.15/25.40 (step @p49 :rule cong :premises (@p48 @p47) :args (@t12)) % 25.15/25.40 (step @p50 :rule cong :premises (@p49) :args (@t13)) % 25.15/25.40 (step @p51 :rule eq_resolve :premises (@p3 @p50)) % 25.15/25.40 (step @p52 :rule instantiate :premises (@p51) :args ((@list @t29 @t38))) % 25.15/25.40 (step @p53 :rule bool-impl-elim :args (@t11 @t21)) % 25.15/25.40 (step @p54 :rule cong :premises (@p53) :args (@t22)) % 25.15/25.40 (step @p55 :rule cong :premises (@p54) :args (@t23)) % 25.15/25.40 (step @p56 :rule eq_resolve :premises (@p8 @p55)) % 25.15/25.40 (step @p57 :rule skolemize :premises (@p56)) % 25.15/25.40 (step @p58 :rule cnf_or_neg :args (@t50 1)) % 25.15/25.40 (step @p59 :rule chain_m_resolution :premises (@p58 @p57) :args ((not @t47) @t51 @t52)) % 25.15/25.40 (step @p60 :rule cnf_equiv_pos2 :args (@t53)) % 25.15/25.40 (step @p61 :rule reordering :premises (@p60) :args ((or @t47 @t54 (not @t53)))) % 25.15/25.40 (step @p62 :rule chain_m_resolution :premises (@p61 @p59 @p52) :args (@t54 @t55 (@list @t47 @t53))) % 25.15/25.40 (step @p63 :rule skolemize :premises (@p62)) % 25.15/25.40 (step @p64 :rule bool-double-not-elim :args (@t43)) % 25.15/25.40 (step @p65 :rule refl :args (@t58)) % 25.15/25.40 (step @p66 :rule nary_cong :premises (@p65 @p64) :args ((or @t58 (not @t57)))) % 25.15/25.40 (step @p67 :rule cnf_or_neg :args (@t58 0)) % 25.15/25.40 (step @p68 :rule eq_resolve :premises (@p67 @p66)) % 25.15/25.40 (step @p69 :rule reordering :premises (@p68) :args ((or @t43 @t58))) % 25.15/25.40 (step @p70 :rule chain_m_resolution :premises (@p69 @p63) :args (@t43 @t51 @t59)) % 25.15/25.40 (step @p71 :rule cnf_equiv_pos1 :args (@t46)) % 25.15/25.40 (step @p72 :rule reordering :premises (@p71) :args ((or @t57 @t42 (not @t46)))) % 25.15/25.40 (step @p73 :rule chain_m_resolution :premises (@p72 @p70 @p45) :args (@t42 (@list false false) (@list @t43 @t46))) % 25.15/25.40 (step @p74 :rule bool-eq-true :args (@t61)) % 25.15/25.40 (step @p75 :rule eq-symm :args (true @t61)) % 25.15/25.40 (step @p76 :rule trans :premises (@p75 @p74)) % 25.15/25.40 (step @p77 :rule eq-symm :args (@t39 @t60)) % 25.15/25.40 (step @p78 :rule cong :premises (@p77) :args (@t62)) % 25.15/25.40 (step @p79 :rule eq-refl :args (@t38)) % 25.15/25.40 (step @p80 :rule cong :premises (@p79 @p78) :args (@t63)) % 25.15/25.40 (step @p81 :rule trans :premises (@p80 @p76)) % 25.15/25.40 (step @p82 :rule cong :premises (@p27 @p81) :args ((=> @t8 @t63))) % 25.15/25.40 (assume-push @p125 @t8) % 25.15/25.40 (step @p84 :rule instantiate :premises (@p2) :args ((@list @t37 @t38))) % 25.15/25.40 (step-pop @p126 :rule scope :premises (@p84)) % 25.15/25.40 (step @p85 :rule process_scope :premises (@p126) :args (@t63)) % 25.15/25.40 (step @p87 :rule eq_resolve :premises (@p85 @p82)) % 25.15/25.40 (step @p88 :rule implies_elim :premises (@p87)) % 25.15/25.40 (step @p89 :rule chain_m_resolution :premises (@p88 @p2) :args (@t61 @t35 @t36)) % 25.15/25.40 (step @p90 :rule eq-symm :args (@t64 @t56)) % 25.15/25.40 (step @p91 :rule refl :args (@t61)) % 25.15/25.40 (step @p92 :rule cong :premises (@p91 @p90) :args ((=> @t61 @t65))) % 25.15/25.40 (assume-push @p127 @t61) % 25.15/25.40 (step @p94 :rule instantiate :premises (@p89) :args (@t45)) % 25.15/25.40 (step-pop @p128 :rule scope :premises (@p94)) % 25.15/25.40 (step @p95 :rule process_scope :premises (@p128) :args (@t65)) % 25.15/25.40 (step @p97 :rule eq_resolve :premises (@p95 @p92)) % 22.32/25.40 (step @p98 :rule implies_elim :premises (@p97)) % 22.32/25.40 (step @p99 :rule chain_m_resolution :premises (@p98 @p89) :args (@t66 @t35 (@list @t61))) % 22.32/25.40 (step @p100 :rule cnf_or_neg :args (@t58 1)) % 22.32/25.40 (step @p101 :rule chain_m_resolution :premises (@p100 @p63) :args ((not @t56) @t51 @t59)) % 22.32/25.40 (step @p102 :rule cnf_equiv_pos2 :args (@t66)) % 22.32/25.40 (step @p103 :rule reordering :premises (@p102) :args ((or @t56 @t67 (not @t66)))) % 22.32/25.40 (step @p104 :rule chain_m_resolution :premises (@p103 @p101 @p99) :args (@t67 @t55 (@list @t56 @t66))) % 22.32/25.40 (step @p105 :rule bool-double-not-elim :args (@t48)) % 22.32/25.40 (step @p106 :rule refl :args (@t50)) % 22.32/25.40 (step @p107 :rule nary_cong :premises (@p106 @p105) :args ((or @t50 (not @t49)))) % 22.32/25.40 (step @p108 :rule cnf_or_neg :args (@t50 0)) % 22.32/25.40 (step @p109 :rule eq_resolve :premises (@p108 @p107)) % 22.32/25.40 (step @p110 :rule reordering :premises (@p109) :args ((or @t48 @t50))) % 22.32/25.40 (step @p111 :rule chain_m_resolution :premises (@p110 @p57) :args (@t48 @t51 @t52)) % 22.32/25.40 (step @p112 :rule cnf_or_pos :args (@t69)) % 22.32/25.40 (step @p113 :rule reordering :premises (@p112) :args ((or @t49 @t64 @t68 @t70))) % 22.32/25.40 (step @p114 :rule chain_m_resolution :premises (@p113 @p111 @p104 @p73) :args (@t70 (@list false true false) (@list @t48 @t64 @t42))) % 22.32/25.40 (assume-push @p129 @t71) % 22.32/25.40 (step @p116 :rule instantiate :premises (@p18) :args ((@list @t41 @t28 @t37))) % 22.32/25.40 (step-pop @p130 :rule scope :premises (@p116)) % 22.32/25.40 (step @p117 :rule process_scope :premises (@p130) :args (@t69)) % 22.32/25.40 (step @p119 :rule implies_elim :premises (@p117)) % 22.32/25.40 (step @p120 false :rule chain_m_resolution :premises (@p119 @p114 @p18) :args (false @t55 (@list @t69 @t71))) % 22.32/25.40 ) % 22.32/25.40 % SZS output end Proof % 22.32/25.40 % cvc5 exiting %------------------------------------------------------------------------------