%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET958+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 08:49:03 AM UTC 2026 % Result : Theorem 0.18s 0.36s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SET958+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 16:18:33 EDT 2026 % 0.09/0.25 % CPUTime : % 0.18/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.18/0.36 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.18/0.36 % SZS status Theorem % 0.18/0.36 % SZS output start Proof % 0.18/0.36 ( % 0.18/0.36 (declare-sort $$unsorted 0) % 0.18/0.36 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.18/0.36 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.18/0.36 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.18/0.36 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.18/0.36 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.18/0.36 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.18/0.36 (define @t1 () (@var "A" $$unsorted)) % 0.18/0.36 (define @t2 () (@var "B" $$unsorted)) % 0.18/0.36 (define @t3 () (@list @t1 @t2)) % 0.18/0.36 (define @t4 () (tptp.unordered_pair @t1 @t2)) % 0.18/0.36 (define @t5 () (@var "C" $$unsorted)) % 0.18/0.36 (define @t6 () (tptp.in @t5 @t2)) % 0.18/0.36 (define @t7 () (tptp.in @t5 @t1)) % 0.18/0.36 (define @t8 () (@list @t5)) % 0.18/0.36 (define @t9 () (forall @t8 (=> @t7 @t6))) % 0.18/0.36 (define @t10 () (tptp.subset @t1 @t2)) % 0.18/0.36 (define @t11 () (= @t10 @t9)) % 0.18/0.36 (define @t12 () (forall @t3 @t11)) % 0.18/0.36 (define @t13 () (tptp.ordered_pair @t1 @t2)) % 0.18/0.36 (define @t14 () (tptp.empty @t1)) % 0.18/0.36 (define @t15 () (@list @t1)) % 0.18/0.36 (define @t16 () (@var "D" $$unsorted)) % 0.18/0.36 (define @t17 () (tptp.ordered_pair @t5 @t16)) % 0.18/0.36 (define @t18 () (tptp.in @t17 @t2)) % 0.18/0.36 (define @t19 () (tptp.in @t17 @t1)) % 0.18/0.36 (define @t20 () (@list @t5 @t16)) % 0.18/0.36 (define @t21 () (forall @t20 (=> @t19 @t18))) % 0.18/0.36 (define @t22 () (@var "E" $$unsorted)) % 0.18/0.36 (define @t23 () (tptp.ordered_pair @t16 @t22)) % 0.18/0.36 (define @t24 () (@list @t16 @t22)) % 0.18/0.36 (define @t25 () (forall @t24 (not (= @t5 @t23)))) % 0.18/0.36 (define @t26 () (forall @t8 (not (and @t7 @t25)))) % 0.18/0.36 (define @t27 () (and @t26 @t21)) % 0.18/0.36 (define @t28 () (=> @t27 @t10)) % 0.18/0.36 (define @t29 () (forall @t3 @t28)) % 0.18/0.36 (define @t30 () (not @t29)) % 0.18/0.36 (define @t31 () (forall @t20 (or (not @t19) @t18))) % 0.18/0.36 (define @t32 () (not @t31)) % 0.18/0.36 (define @t33 () (not @t25)) % 0.18/0.36 (define @t34 () (forall @t8 (or (not @t7) @t33))) % 0.18/0.36 (define @t35 () (not @t34)) % 0.18/0.36 (define @t36 () (or @t35 @t32 @t10)) % 0.18/0.36 (define @t37 () (and @t34 @t31)) % 0.18/0.36 (define @t38 () (forall @t3 @t36)) % 0.18/0.36 (define @t39 () (@quantifiers_skolemize @t38 1)) % 0.18/0.36 (define @t40 () (@quantifiers_skolemize @t38 0)) % 0.18/0.36 (define @t41 () (forall @t20 (or (not (tptp.in @t17 @t40)) (tptp.in @t17 @t39)))) % 0.18/0.36 (define @t42 () (tptp.subset @t40 @t39)) % 0.18/0.36 (define @t43 () (not @t41)) % 0.18/0.36 (define @t44 () (not (tptp.in @t5 @t40))) % 0.18/0.36 (define @t45 () (forall @t8 (or @t44 @t33))) % 0.18/0.36 (define @t46 () (not @t45)) % 0.18/0.36 (define @t47 () (or @t46 @t43 @t42)) % 0.18/0.36 (define @t48 () (@list true)) % 0.18/0.36 (define @t49 () (@list @t47)) % 0.18/0.36 (define @t50 () (forall @t8 (or @t44 (tptp.in @t5 @t39)))) % 0.18/0.36 (define @t51 () (= @t42 @t50)) % 0.18/0.36 (define @t52 () (not @t50)) % 0.18/0.36 (define @t53 () (@list true false)) % 0.18/0.36 (define @t54 () (@quantifiers_skolemize @t50 0)) % 0.18/0.36 (define @t55 () (tptp.in @t54 @t39)) % 0.18/0.36 (define @t56 () (tptp.in @t54 @t40)) % 0.18/0.36 (define @t57 () (not @t56)) % 0.18/0.36 (define @t58 () (or @t57 @t55)) % 0.18/0.36 (define @t59 () (@list @t58)) % 0.18/0.36 (define @t60 () (not (= @t54 @t23))) % 0.18/0.36 (define @t61 () (forall @t24 @t60)) % 0.18/0.36 (define @t62 () (not @t61)) % 0.18/0.36 (define @t63 () (or @t57 @t62)) % 0.18/0.36 (define @t64 () (forall @t24 (not (= @t23 @t54)))) % 0.18/0.36 (define @t65 () (not @t64)) % 0.18/0.36 (define @t66 () (or @t57 @t65)) % 0.18/0.36 (define @t67 () (@quantifiers_skolemize @t64 1)) % 0.18/0.36 (define @t68 () (@quantifiers_skolemize @t64 0)) % 0.18/0.36 (define @t69 () (tptp.ordered_pair @t68 @t67)) % 0.18/0.36 (define @t70 () (= @t54 @t69)) % 0.18/0.36 (define @t71 () (= @t69 @t54)) % 0.18/0.36 (define @t72 () (not (not @t71))) % 0.18/0.36 (define @t73 () (tptp.in @t69 @t39)) % 0.18/0.36 (define @t74 () (tptp.in @t69 @t40)) % 0.18/0.36 (define @t75 () (not @t74)) % 0.18/0.36 (define @t76 () (or @t75 @t73)) % 0.18/0.36 (define @t77 () (not @t76)) % 0.18/0.36 (assume @p1 (forall @t3 (=> (tptp.in @t1 @t2) (not (tptp.in @t2 @t1))))) % 0.18/0.36 (assume @p2 (forall @t3 (= @t4 (tptp.unordered_pair @t2 @t1)))) % 0.18/0.36 (assume @p3 @t12) % 0.18/0.36 (assume @p4 (forall @t3 (= @t13 (tptp.unordered_pair @t4 (tptp.singleton @t1))))) % 0.18/0.36 (assume @p5 (forall @t3 (not (tptp.empty @t13)))) % 0.18/0.36 (assume @p6 (exists @t15 @t14)) % 0.18/0.36 (assume @p7 (exists @t15 (not @t14))) % 0.18/0.36 (assume @p8 (forall @t3 (tptp.subset @t1 @t1))) % 0.18/0.36 (assume @p9 @t30) % 0.18/0.36 (assume @p10 true) % 0.18/0.36 (step @p11 :rule aci_norm :args ((= (or (or @t35 @t32) @t10) @t36))) % 0.18/0.36 (step @p12 :rule refl :args (@t10)) % 0.18/0.36 (step @p13 :rule bool-and-de-morgan :args (@t34 @t31 true)) % 0.18/0.36 (step @p14 :rule nary_cong :premises (@p13 @p12) :args ((or (not @t37) @t10))) % 0.18/0.36 (step @p15 :rule trans :premises (@p14 @p11)) % 0.18/0.36 (step @p16 :rule bool-impl-elim :args (@t37 @t10)) % 0.18/0.36 (step @p17 :rule trans :premises (@p16 @p15)) % 0.18/0.36 (step @p18 :rule cong :premises (@p17) :args ((forall @t3 (=> @t37 @t10)))) % 0.18/0.36 (step @p19 :rule refl :args (@t10)) % 0.18/0.36 (step @p20 :rule bool-impl-elim :args (@t19 @t18)) % 0.18/0.36 (step @p21 :rule cong :premises (@p20) :args (@t21)) % 0.18/0.36 (step @p22 :rule bool-and-de-morgan :args (@t7 @t25 true)) % 0.18/0.36 (step @p23 :rule cong :premises (@p22) :args (@t26)) % 0.18/0.36 (step @p24 :rule nary_cong :premises (@p23 @p21) :args (@t27)) % 0.18/0.36 (step @p25 :rule cong :premises (@p24 @p19) :args (@t28)) % 0.18/0.36 (step @p26 :rule cong :premises (@p25) :args (@t29)) % 0.18/0.36 (step @p27 :rule trans :premises (@p26 @p18)) % 0.18/0.36 (step @p28 :rule cong :premises (@p27) :args (@t30)) % 0.18/0.36 (step @p29 :rule eq_resolve :premises (@p9 @p28)) % 0.18/0.36 (step @p30 :rule skolemize :premises (@p29)) % 0.18/0.36 (step @p31 :rule bool-double-not-elim :args (@t41)) % 0.18/0.36 (step @p32 :rule refl :args (@t47)) % 0.18/0.36 (step @p33 :rule nary_cong :premises (@p32 @p31) :args ((or @t47 (not @t43)))) % 0.18/0.36 (step @p34 :rule cnf_or_neg :args (@t47 1)) % 0.18/0.36 (step @p35 :rule eq_resolve :premises (@p34 @p33)) % 0.18/0.36 (step @p36 :rule reordering :premises (@p35) :args ((or @t41 @t47))) % 0.18/0.36 (step @p37 :rule chain_m_resolution :premises (@p36 @p30) :args (@t41 @t48 @t49)) % 0.18/0.36 (step @p38 :rule bool-impl-elim :args (@t7 @t6)) % 0.18/0.36 (step @p39 :rule cong :premises (@p38) :args (@t9)) % 0.18/0.36 (step @p40 :rule cong :premises (@p19 @p39) :args (@t11)) % 0.18/0.36 (step @p41 :rule cong :premises (@p40) :args (@t12)) % 0.18/0.36 (step @p42 :rule eq_resolve :premises (@p3 @p41)) % 0.18/0.36 (step @p43 :rule instantiate :premises (@p42) :args ((@list @t40 @t39))) % 0.18/0.36 (step @p44 :rule cnf_or_neg :args (@t47 2)) % 0.18/0.36 (step @p45 :rule chain_m_resolution :premises (@p44 @p30) :args ((not @t42) @t48 @t49)) % 0.18/0.36 (step @p46 :rule cnf_equiv_pos2 :args (@t51)) % 0.18/0.36 (step @p47 :rule reordering :premises (@p46) :args ((or @t42 @t52 (not @t51)))) % 0.18/0.36 (step @p48 :rule chain_m_resolution :premises (@p47 @p45 @p43) :args (@t52 @t53 (@list @t42 @t51))) % 0.18/0.36 (step @p49 :rule skolemize :premises (@p48)) % 0.18/0.36 (step @p50 :rule cnf_or_neg :args (@t58 1)) % 0.18/0.36 (step @p51 :rule chain_m_resolution :premises (@p50 @p49) :args ((not @t55) @t48 @t59)) % 0.18/0.36 (step @p52 :rule false_intro :premises (@p51)) % 0.18/0.36 (step @p53 :rule refl :args (@t39)) % 0.18/0.36 (step @p54 :rule bool-double-not-elim :args (@t45)) % 0.18/0.36 (step @p55 :rule nary_cong :premises (@p32 @p54) :args ((or @t47 (not @t46)))) % 0.18/0.36 (step @p56 :rule cnf_or_neg :args (@t47 0)) % 0.18/0.36 (step @p57 :rule eq_resolve :premises (@p56 @p55)) % 0.18/0.36 (step @p58 :rule reordering :premises (@p57) :args ((or @t45 @t47))) % 0.18/0.36 (step @p59 :rule chain_m_resolution :premises (@p58 @p30) :args (@t45 @t48 @t49)) % 0.18/0.36 (step @p60 :rule eq-symm :args (@t54 @t23)) % 0.18/0.36 (step @p61 :rule cong :premises (@p60) :args (@t60)) % 0.18/0.36 (step @p62 :rule cong :premises (@p61) :args (@t61)) % 0.18/0.36 (step @p63 :rule cong :premises (@p62) :args (@t62)) % 0.18/0.36 (step @p64 :rule refl :args (@t57)) % 0.18/0.36 (step @p65 :rule nary_cong :premises (@p64 @p63) :args (@t63)) % 0.18/0.36 (step @p66 :rule refl :args (@t45)) % 0.18/0.36 (step @p67 :rule cong :premises (@p66 @p65) :args ((=> @t45 @t63))) % 0.18/0.36 (assume-push @p119 @t45) % 0.18/0.36 (step @p69 :rule instantiate :premises (@p59) :args ((@list @t54))) % 0.18/0.36 (step-pop @p120 :rule scope :premises (@p69)) % 0.18/0.36 (step @p70 :rule process_scope :premises (@p120) :args (@t63)) % 0.18/0.36 (step @p72 :rule eq_resolve :premises (@p70 @p67)) % 0.18/0.36 (step @p73 :rule implies_elim :premises (@p72)) % 0.18/0.36 (step @p74 :rule chain_m_resolution :premises (@p73 @p59) :args (@t66 (@list false) (@list @t45))) % 0.18/0.36 (step @p75 :rule bool-double-not-elim :args (@t56)) % 0.18/0.36 (step @p76 :rule refl :args (@t58)) % 0.18/0.36 (step @p77 :rule nary_cong :premises (@p76 @p75) :args ((or @t58 (not @t57)))) % 0.18/0.36 (step @p78 :rule cnf_or_neg :args (@t58 0)) % 0.18/0.36 (step @p79 :rule eq_resolve :premises (@p78 @p77)) % 0.18/0.36 (step @p80 :rule reordering :premises (@p79) :args ((or @t56 @t58))) % 0.18/0.36 (step @p81 :rule chain_m_resolution :premises (@p80 @p49) :args (@t56 @t48 @t59)) % 0.18/0.36 (step @p82 :rule cnf_or_pos :args (@t66)) % 0.18/0.36 (step @p83 :rule reordering :premises (@p82) :args ((or @t57 @t65 (not @t66)))) % 0.18/0.36 (step @p84 :rule chain_m_resolution :premises (@p83 @p81 @p74) :args (@t65 (@list false false) (@list @t56 @t66))) % 0.18/0.36 (step @p85 :rule refl :args (@t70)) % 0.18/0.37 (step @p86 :rule bool-double-not-elim :args (@t64)) % 0.18/0.37 (step @p87 :rule nary_cong :premises (@p86 @p85) :args ((or (not @t65) @t70))) % 0.18/0.37 (step @p88 :rule eq-symm :args (@t69 @t54)) % 0.18/0.37 (step @p89 :rule bool-double-not-elim :args (@t71)) % 0.18/0.37 (step @p90 :rule trans :premises (@p89 @p88)) % 0.18/0.37 (step @p91 :rule refl :args (@t65)) % 0.18/0.37 (step @p92 :rule cong :premises (@p91 @p90) :args ((=> @t65 @t72))) % 0.18/0.37 (assume-push @p121 @t65) % 0.18/0.37 (step @p94 :rule skolemize :premises (@p84)) % 0.18/0.37 (step-pop @p122 :rule scope :premises (@p94)) % 0.18/0.37 (step @p95 :rule process_scope :premises (@p122) :args (@t72)) % 0.18/0.37 (step @p97 :rule eq_resolve :premises (@p95 @p92)) % 0.18/0.37 (step @p98 :rule implies_elim :premises (@p97)) % 0.18/0.37 (step @p99 :rule eq_resolve :premises (@p98 @p87)) % 0.18/0.37 (step @p100 :rule chain_m_resolution :premises (@p99 @p84) :args (@t70 @t48 (@list @t64))) % 0.18/0.37 (step @p101 :rule symm :premises (@p100)) % 0.18/0.37 (step @p102 :rule cong :premises (@p101 @p53) :args (@t73)) % 0.18/0.37 (step @p103 :rule trans :premises (@p102 @p52)) % 0.18/0.37 (step @p104 :rule false_elim :premises (@p103)) % 0.18/0.37 (step @p105 :rule true_intro :premises (@p81)) % 0.18/0.37 (step @p106 :rule refl :args (@t40)) % 0.18/0.37 (step @p107 :rule cong :premises (@p101 @p106) :args (@t74)) % 0.18/0.37 (step @p108 :rule trans :premises (@p107 @p105)) % 0.18/0.37 (step @p109 :rule true_elim :premises (@p108)) % 0.18/0.37 (step @p110 :rule cnf_or_pos :args (@t76)) % 0.18/0.37 (step @p111 :rule reordering :premises (@p110) :args ((or @t75 @t73 @t77))) % 0.18/0.37 (step @p112 :rule chain_m_resolution :premises (@p111 @p109 @p104) :args (@t77 (@list false true) (@list @t74 @t73))) % 0.18/0.37 (assume-push @p123 @t41) % 0.18/0.37 (step @p114 :rule instantiate :premises (@p37) :args ((@list @t68 @t67))) % 0.18/0.37 (step-pop @p124 :rule scope :premises (@p114)) % 0.18/0.37 (step @p115 :rule process_scope :premises (@p124) :args (@t76)) % 0.18/0.37 (step @p117 :rule implies_elim :premises (@p115)) % 0.18/0.37 (step @p118 false :rule chain_m_resolution :premises (@p117 @p112 @p37) :args (false @t53 (@list @t76 @t41))) % 0.18/0.37 ) % 0.18/0.37 % SZS output end Proof % 0.18/0.37 % cvc5 exiting %------------------------------------------------------------------------------