%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET988+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 : n013.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 08:49:06 AM UTC 2026 % Result : Theorem 0.37s 0.58s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET988+1 : TPTP v9.2.1. Released v3.2.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n013.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 16:22:00 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.58 % SZS status Theorem % 0.37/0.58 % SZS output start Proof % 0.37/0.58 ( % 0.37/0.58 (declare-sort $$unsorted 0) % 0.37/0.58 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.function (-> $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.empty_set $$unsorted) % 0.37/0.58 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (define @t1 () (@var "A" $$unsorted)) % 0.37/0.58 (define @t2 () (@var "B" $$unsorted)) % 0.37/0.58 (define @t3 () (@list @t1 @t2)) % 0.37/0.58 (define @t4 () (tptp.relation tptp.empty_set)) % 0.37/0.58 (define @t5 () (tptp.empty tptp.empty_set)) % 0.37/0.58 (define @t6 () (tptp.unordered_pair @t1 @t2)) % 0.37/0.58 (define @t7 () (@list @t2)) % 0.37/0.58 (define @t8 () (@list @t1)) % 0.37/0.58 (define @t9 () (tptp.function @t1)) % 0.37/0.58 (define @t10 () (tptp.empty @t1)) % 0.37/0.58 (define @t11 () (tptp.powerset @t1)) % 0.37/0.58 (define @t12 () (tptp.singleton @t1)) % 0.37/0.58 (define @t13 () (tptp.relation @t1)) % 0.37/0.58 (define @t14 () (tptp.in @t1 @t2)) % 0.37/0.58 (define @t15 () (tptp.empty @t2)) % 0.37/0.58 (define @t16 () (tptp.element @t1 @t2)) % 0.37/0.58 (define @t17 () (@var "C" $$unsorted)) % 0.37/0.58 (define @t18 () (tptp.element @t2 (tptp.powerset @t17))) % 0.37/0.58 (define @t19 () (@list @t1 @t2 @t17)) % 0.37/0.58 (define @t20 () (tptp.in @t2 @t1)) % 0.37/0.58 (define @t21 () (not @t20)) % 0.37/0.58 (define @t22 () (and @t13 @t9)) % 0.37/0.58 (define @t23 () (tptp.element @t2 @t11)) % 0.37/0.58 (define @t24 () (not @t10)) % 0.37/0.58 (define @t25 () (tptp.ordered_pair @t1 @t2)) % 0.37/0.58 (define @t26 () (@var "D" $$unsorted)) % 0.37/0.58 (define @t27 () (= @t17 @t26)) % 0.37/0.58 (define @t28 () (tptp.ordered_pair @t2 @t26)) % 0.37/0.58 (define @t29 () (tptp.in @t28 @t1)) % 0.37/0.58 (define @t30 () (tptp.ordered_pair @t2 @t17)) % 0.37/0.58 (define @t31 () (tptp.in @t30 @t1)) % 0.37/0.58 (define @t32 () (and @t31 @t29)) % 0.37/0.58 (define @t33 () (@list @t2 @t17 @t26)) % 0.37/0.58 (define @t34 () (forall @t33 (=> @t32 @t27))) % 0.37/0.58 (define @t35 () (tptp.ordered_pair @t17 @t26)) % 0.37/0.58 (define @t36 () (not (= @t35 @t2))) % 0.37/0.58 (define @t37 () (@list @t17 @t26)) % 0.37/0.58 (define @t38 () (forall @t37 @t36)) % 0.37/0.58 (define @t39 () (and @t20 @t38)) % 0.37/0.58 (define @t40 () (not @t39)) % 0.37/0.58 (define @t41 () (forall @t7 @t40)) % 0.37/0.58 (define @t42 () (and @t41 @t34)) % 0.37/0.58 (define @t43 () (=> @t42 @t22)) % 0.37/0.58 (define @t44 () (forall @t8 @t43)) % 0.37/0.58 (define @t45 () (not @t44)) % 0.37/0.58 (define @t46 () (= @t9 @t34)) % 0.37/0.58 (define @t47 () (forall @t8 @t46)) % 0.37/0.58 (define @t48 () (forall @t37 (not (= @t2 @t35)))) % 0.37/0.58 (define @t49 () (forall @t7 (not (and @t20 @t48)))) % 0.37/0.58 (define @t50 () (= @t13 @t49)) % 0.37/0.58 (define @t51 () (forall @t8 @t50)) % 0.37/0.58 (define @t52 () (not @t29)) % 0.37/0.58 (define @t53 () (not @t31)) % 0.37/0.58 (define @t54 () (or @t53 @t52 @t27)) % 0.37/0.58 (define @t55 () (forall @t33 @t54)) % 0.37/0.58 (define @t56 () (not @t55)) % 0.37/0.58 (define @t57 () (not @t48)) % 0.37/0.58 (define @t58 () (forall @t7 (or @t21 @t57))) % 0.37/0.58 (define @t59 () (not @t58)) % 0.37/0.58 (define @t60 () (or @t59 @t56 @t22)) % 0.37/0.58 (define @t61 () (and @t58 @t55)) % 0.37/0.58 (define @t62 () (@quantifiers_skolemize (forall @t8 @t60) 0)) % 0.37/0.58 (define @t63 () (tptp.function @t62)) % 0.37/0.58 (define @t64 () (tptp.relation @t62)) % 0.37/0.58 (define @t65 () (and @t64 @t63)) % 0.37/0.58 (define @t66 () (forall @t33 (or (not (tptp.in @t30 @t62)) (not (tptp.in @t28 @t62)) @t27))) % 0.37/0.58 (define @t67 () (not @t66)) % 0.37/0.58 (define @t68 () (forall @t7 (or (not (tptp.in @t2 @t62)) @t57))) % 0.37/0.58 (define @t69 () (not @t68)) % 0.37/0.58 (define @t70 () (or @t69 @t67 @t65)) % 0.37/0.58 (define @t71 () (@list true)) % 0.37/0.58 (define @t72 () (@list @t70)) % 0.37/0.58 (define @t73 () (forall @t8 (= @t9 @t55))) % 0.37/0.58 (define @t74 () (= @t63 @t66)) % 0.37/0.58 (define @t75 () (@list @t62)) % 0.37/0.58 (define @t76 () (= @t66 @t63)) % 0.37/0.58 (define @t77 () (@list false)) % 0.37/0.58 (define @t78 () (@list false false)) % 0.37/0.58 (define @t79 () (forall @t8 (= @t13 @t58))) % 0.37/0.58 (define @t80 () (= @t64 @t68)) % 0.37/0.58 (define @t81 () (= @t68 @t64)) % 0.37/0.58 (assume @p1 (forall @t3 (tptp.subset @t1 @t1))) % 0.37/0.58 (assume @p2 (and @t5 @t4)) % 0.37/0.58 (assume @p3 (and @t5 @t4 (tptp.relation_empty_yielding tptp.empty_set))) % 0.37/0.58 (assume @p4 @t5) % 0.37/0.58 (assume @p5 (forall @t3 (= @t6 (tptp.unordered_pair @t2 @t1)))) % 0.37/0.58 (assume @p6 (forall @t8 (exists @t7 (tptp.element @t2 @t1)))) % 0.37/0.58 (assume @p7 (forall @t8 (=> @t10 @t9))) % 0.37/0.58 (assume @p8 (forall @t8 (not (tptp.empty @t11)))) % 0.37/0.58 (assume @p9 (forall @t8 (not (tptp.empty @t12)))) % 0.37/0.58 (assume @p10 (forall @t3 (not (tptp.empty @t6)))) % 0.37/0.58 (assume @p11 (forall @t8 (=> @t10 @t13))) % 0.37/0.58 (assume @p12 (forall @t3 (=> @t16 (or @t15 @t14)))) % 0.37/0.58 (assume @p13 (forall @t3 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 0.37/0.58 (assume @p14 (forall @t19 (=> (and @t14 @t18) (tptp.element @t1 @t17)))) % 0.37/0.58 (assume @p15 (forall @t19 (not (and @t14 @t18 (tptp.empty @t17))))) % 0.37/0.58 (assume @p16 (forall @t8 (=> @t10 (= @t1 tptp.empty_set)))) % 0.37/0.58 (assume @p17 (forall @t3 (not (and @t10 (not (= @t1 @t2)) @t15)))) % 0.37/0.58 (assume @p18 (forall @t3 (=> @t14 @t21))) % 0.37/0.58 (assume @p19 (exists @t8 @t22)) % 0.37/0.58 (assume @p20 (forall @t8 (=> @t24 (exists @t7 (and @t23 (not @t15)))))) % 0.37/0.58 (assume @p21 (forall @t8 (exists @t7 (and @t23 @t15)))) % 0.37/0.58 (assume @p22 (exists @t8 (and @t10 @t13))) % 0.37/0.58 (assume @p23 (exists @t8 (and @t24 @t13))) % 0.37/0.58 (assume @p24 (exists @t8 (and @t13 (tptp.relation_empty_yielding @t1)))) % 0.37/0.58 (assume @p25 (forall @t3 (not (tptp.empty @t25)))) % 0.37/0.58 (assume @p26 (exists @t8 @t10)) % 0.37/0.58 (assume @p27 (exists @t8 @t24)) % 0.37/0.58 (assume @p28 (forall @t3 (=> @t14 @t16))) % 0.37/0.58 (assume @p29 (forall @t3 (not (and @t14 @t15)))) % 0.37/0.58 (assume @p30 (forall @t3 (= @t25 (tptp.unordered_pair @t6 @t12)))) % 0.37/0.58 (assume @p31 @t45) % 0.37/0.58 (assume @p32 @t47) % 0.37/0.58 (assume @p33 @t51) % 0.37/0.58 (assume @p34 true) % 0.37/0.58 (step @p35 :rule aci_norm :args ((= (or (or @t59 @t56) @t22) @t60))) % 0.37/0.58 (step @p36 :rule refl :args (@t22)) % 0.37/0.58 (step @p37 :rule bool-and-de-morgan :args (@t58 @t55 true)) % 0.37/0.58 (step @p38 :rule nary_cong :premises (@p37 @p36) :args ((or (not @t61) @t22))) % 0.37/0.58 (step @p39 :rule trans :premises (@p38 @p35)) % 0.37/0.58 (step @p40 :rule bool-impl-elim :args (@t61 @t22)) % 0.37/0.58 (step @p41 :rule trans :premises (@p40 @p39)) % 0.37/0.58 (step @p42 :rule cong :premises (@p41) :args ((forall @t8 (=> @t61 @t22)))) % 0.37/0.58 (step @p43 :rule refl :args (@t22)) % 0.37/0.58 (step @p44 :rule aci_norm :args ((= (or (or @t53 @t52) @t27) @t54))) % 0.37/0.58 (step @p45 :rule refl :args (@t27)) % 0.37/0.58 (step @p46 :rule bool-and-de-morgan :args (@t31 @t29 true)) % 0.37/0.58 (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or (not @t32) @t27))) % 0.37/0.58 (step @p48 :rule trans :premises (@p47 @p44)) % 0.37/0.58 (step @p49 :rule bool-impl-elim :args (@t32 @t27)) % 0.37/0.58 (step @p50 :rule trans :premises (@p49 @p48)) % 0.37/0.58 (step @p51 :rule cong :premises (@p50) :args (@t34)) % 0.37/0.58 (step @p52 :rule bool-and-de-morgan :args (@t20 @t48 true)) % 0.37/0.58 (step @p53 :rule cong :premises (@p52) :args (@t49)) % 0.37/0.58 (step @p54 :rule eq-symm :args (@t35 @t2)) % 0.37/0.58 (step @p55 :rule cong :premises (@p54) :args (@t36)) % 0.37/0.58 (step @p56 :rule cong :premises (@p55) :args (@t38)) % 0.37/0.58 (step @p57 :rule refl :args (@t20)) % 0.37/0.58 (step @p58 :rule nary_cong :premises (@p57 @p56) :args (@t39)) % 0.37/0.58 (step @p59 :rule cong :premises (@p58) :args (@t40)) % 0.37/0.58 (step @p60 :rule cong :premises (@p59) :args (@t41)) % 0.37/0.58 (step @p61 :rule trans :premises (@p60 @p53)) % 0.37/0.58 (step @p62 :rule nary_cong :premises (@p61 @p51) :args (@t42)) % 0.37/0.58 (step @p63 :rule cong :premises (@p62 @p43) :args (@t43)) % 0.37/0.58 (step @p64 :rule cong :premises (@p63) :args (@t44)) % 0.37/0.58 (step @p65 :rule trans :premises (@p64 @p42)) % 0.37/0.58 (step @p66 :rule cong :premises (@p65) :args (@t45)) % 0.37/0.58 (step @p67 :rule eq_resolve :premises (@p31 @p66)) % 0.37/0.58 (step @p68 :rule skolemize :premises (@p67)) % 0.37/0.58 (step @p69 :rule cnf_or_neg :args (@t70 2)) % 0.37/0.58 (step @p70 :rule chain_m_resolution :premises (@p69 @p68) :args ((not @t65) @t71 @t72)) % 0.37/0.58 (step @p71 :rule refl :args (@t9)) % 0.37/0.58 (step @p72 :rule cong :premises (@p71 @p51) :args (@t46)) % 0.37/0.58 (step @p73 :rule cong :premises (@p72) :args (@t47)) % 0.37/0.58 (step @p74 :rule eq_resolve :premises (@p32 @p73)) % 0.37/0.58 (step @p75 :rule eq-symm :args (@t63 @t66)) % 0.37/0.58 (step @p76 :rule refl :args (@t73)) % 0.37/0.58 (step @p77 :rule cong :premises (@p76 @p75) :args ((=> @t73 @t74))) % 0.37/0.58 (assume-push @p120 @t73) % 0.37/0.58 (step @p79 :rule instantiate :premises (@p74) :args (@t75)) % 0.37/0.58 (step-pop @p121 :rule scope :premises (@p79)) % 0.37/0.58 (step @p80 :rule process_scope :premises (@p121) :args (@t74)) % 0.37/0.58 (step @p82 :rule eq_resolve :premises (@p80 @p77)) % 0.37/0.58 (step @p83 :rule implies_elim :premises (@p82)) % 0.37/0.58 (step @p84 :rule chain_m_resolution :premises (@p83 @p74) :args (@t76 @t77 (@list @t73))) % 0.37/0.58 (step @p85 :rule bool-double-not-elim :args (@t66)) % 0.37/0.58 (step @p86 :rule refl :args (@t70)) % 0.37/0.58 (step @p87 :rule nary_cong :premises (@p86 @p85) :args ((or @t70 (not @t67)))) % 0.37/0.58 (step @p88 :rule cnf_or_neg :args (@t70 1)) % 0.37/0.58 (step @p89 :rule eq_resolve :premises (@p88 @p87)) % 0.37/0.58 (step @p90 :rule reordering :premises (@p89) :args ((or @t66 @t70))) % 0.37/0.58 (step @p91 :rule chain_m_resolution :premises (@p90 @p68) :args (@t66 @t71 @t72)) % 0.37/0.58 (step @p92 :rule cnf_equiv_pos1 :args (@t76)) % 0.37/0.58 (step @p93 :rule reordering :premises (@p92) :args ((or @t67 @t63 (not @t76)))) % 0.37/0.58 (step @p94 :rule chain_m_resolution :premises (@p93 @p91 @p84) :args (@t63 @t78 (@list @t66 @t76))) % 0.37/0.58 (step @p95 :rule refl :args (@t13)) % 0.37/0.58 (step @p96 :rule cong :premises (@p95 @p53) :args (@t50)) % 0.37/0.58 (step @p97 :rule cong :premises (@p96) :args (@t51)) % 0.37/0.58 (step @p98 :rule eq_resolve :premises (@p33 @p97)) % 0.37/0.58 (step @p99 :rule eq-symm :args (@t64 @t68)) % 0.37/0.58 (step @p100 :rule refl :args (@t79)) % 0.37/0.58 (step @p101 :rule cong :premises (@p100 @p99) :args ((=> @t79 @t80))) % 0.37/0.58 (assume-push @p122 @t79) % 0.37/0.58 (step @p103 :rule instantiate :premises (@p98) :args (@t75)) % 0.37/0.58 (step-pop @p123 :rule scope :premises (@p103)) % 0.37/0.58 (step @p104 :rule process_scope :premises (@p123) :args (@t80)) % 0.37/0.58 (step @p106 :rule eq_resolve :premises (@p104 @p101)) % 0.37/0.58 (step @p107 :rule implies_elim :premises (@p106)) % 0.37/0.58 (step @p108 :rule chain_m_resolution :premises (@p107 @p98) :args (@t81 @t77 (@list @t79))) % 0.37/0.58 (step @p109 :rule bool-double-not-elim :args (@t68)) % 0.37/0.58 (step @p110 :rule nary_cong :premises (@p86 @p109) :args ((or @t70 (not @t69)))) % 0.37/0.58 (step @p111 :rule cnf_or_neg :args (@t70 0)) % 0.37/0.58 (step @p112 :rule eq_resolve :premises (@p111 @p110)) % 0.37/0.58 (step @p113 :rule reordering :premises (@p112) :args ((or @t68 @t70))) % 0.37/0.58 (step @p114 :rule chain_m_resolution :premises (@p113 @p68) :args (@t68 @t71 @t72)) % 0.37/0.58 (step @p115 :rule cnf_equiv_pos1 :args (@t81)) % 0.37/0.58 (step @p116 :rule reordering :premises (@p115) :args ((or @t69 @t64 (not @t81)))) % 0.37/0.58 (step @p117 :rule chain_m_resolution :premises (@p116 @p114 @p108) :args (@t64 @t78 (@list @t68 @t81))) % 0.37/0.58 (step @p118 :rule cnf_and_neg :args (@t65)) % 0.37/0.58 (step @p119 false :rule chain_m_resolution :premises (@p118 @p117 @p94 @p70) :args (false (@list false false true) (@list @t64 @t63 @t65))) % 0.37/0.58 ) % 0.37/0.58 % SZS output end Proof % 0.37/0.58 % cvc5 exiting %------------------------------------------------------------------------------