%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET930+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 : n007.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 0.38s 0.58s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET930+1 : TPTP v9.2.1. Released v3.2.0. % 0.00/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n007.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 16:17:11 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.58 % SZS status Theorem % 0.38/0.58 % SZS output start Proof % 0.38/0.58 ( % 0.38/0.58 (declare-sort $$unsorted 0) % 0.38/0.58 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.empty_set $$unsorted) % 0.38/0.58 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (define @t1 () (@var "A" $$unsorted)) % 0.38/0.58 (define @t2 () (@var "B" $$unsorted)) % 0.38/0.58 (define @t3 () (@list @t1 @t2)) % 0.38/0.58 (define @t4 () (tptp.unordered_pair @t1 @t2)) % 0.38/0.58 (define @t5 () (@var "C" $$unsorted)) % 0.38/0.58 (define @t6 () (tptp.in @t2 @t5)) % 0.38/0.58 (define @t7 () (tptp.in @t1 @t5)) % 0.38/0.58 (define @t8 () (not @t7)) % 0.38/0.58 (define @t9 () (tptp.set_difference @t4 @t5)) % 0.38/0.58 (define @t10 () (= @t9 (tptp.singleton @t1))) % 0.38/0.58 (define @t11 () (@list @t1 @t2 @t5)) % 0.38/0.58 (define @t12 () (forall @t11 (= @t10 (and @t8 (or @t6 (= @t1 @t2)))))) % 0.38/0.58 (define @t13 () (tptp.empty @t1)) % 0.38/0.58 (define @t14 () (@list @t1)) % 0.38/0.58 (define @t15 () (and @t8 (not @t6))) % 0.38/0.58 (define @t16 () (= @t9 @t4)) % 0.38/0.58 (define @t17 () (= @t16 @t15)) % 0.38/0.58 (define @t18 () (forall @t11 @t17)) % 0.38/0.58 (define @t19 () (and @t7 @t6)) % 0.38/0.58 (define @t20 () (= @t9 tptp.empty_set)) % 0.38/0.58 (define @t21 () (= @t20 @t19)) % 0.38/0.58 (define @t22 () (forall @t11 @t21)) % 0.38/0.58 (define @t23 () (not @t16)) % 0.38/0.58 (define @t24 () (= @t9 (tptp.singleton @t2))) % 0.38/0.58 (define @t25 () (not @t24)) % 0.38/0.58 (define @t26 () (not @t10)) % 0.38/0.58 (define @t27 () (not @t20)) % 0.38/0.58 (define @t28 () (and @t27 @t26 @t25 @t23)) % 0.38/0.58 (define @t29 () (not @t28)) % 0.38/0.58 (define @t30 () (forall @t11 @t29)) % 0.38/0.58 (define @t31 () (not @t30)) % 0.38/0.58 (define @t32 () (= @t4 @t9)) % 0.38/0.58 (define @t33 () (= tptp.empty_set @t9)) % 0.38/0.58 (define @t34 () (forall @t11 (or @t33 @t10 @t24 @t32))) % 0.38/0.58 (define @t35 () (@quantifiers_skolemize @t34 2)) % 0.38/0.58 (define @t36 () (@quantifiers_skolemize @t34 1)) % 0.38/0.58 (define @t37 () (@quantifiers_skolemize @t34 0)) % 0.38/0.58 (define @t38 () (@list @t37 @t36 @t35)) % 0.38/0.58 (define @t39 () (not @t32)) % 0.38/0.58 (define @t40 () (not @t39)) % 0.38/0.58 (define @t41 () (not @t25)) % 0.38/0.58 (define @t42 () (not @t26)) % 0.38/0.58 (define @t43 () (not @t33)) % 0.38/0.58 (define @t44 () (not @t43)) % 0.38/0.58 (define @t45 () (or @t44 @t42 @t41 @t40)) % 0.38/0.58 (define @t46 () (tptp.unordered_pair @t37 @t36)) % 0.38/0.58 (define @t47 () (tptp.set_difference @t46 @t35)) % 0.38/0.58 (define @t48 () (= @t46 @t47)) % 0.38/0.58 (define @t49 () (tptp.singleton @t36)) % 0.38/0.58 (define @t50 () (= @t47 @t49)) % 0.38/0.58 (define @t51 () (= @t47 (tptp.singleton @t37))) % 0.38/0.58 (define @t52 () (= tptp.empty_set @t47)) % 0.38/0.58 (define @t53 () (or @t52 @t51 @t50 @t48)) % 0.38/0.58 (define @t54 () (@list true)) % 0.38/0.58 (define @t55 () (@list @t53)) % 0.38/0.58 (define @t56 () (= @t37 @t36)) % 0.38/0.58 (define @t57 () (tptp.in @t36 @t35)) % 0.38/0.58 (define @t58 () (or @t57 @t56)) % 0.38/0.58 (define @t59 () (tptp.in @t37 @t35)) % 0.38/0.58 (define @t60 () (not @t59)) % 0.38/0.58 (define @t61 () (and @t60 @t58)) % 0.38/0.58 (define @t62 () (= @t51 @t61)) % 0.38/0.58 (define @t63 () (not @t61)) % 0.38/0.58 (define @t64 () (@list true false)) % 0.38/0.58 (define @t65 () (not @t57)) % 0.38/0.58 (define @t66 () (and @t60 @t65)) % 0.38/0.58 (define @t67 () (forall @t11 (= @t15 @t32))) % 0.38/0.58 (define @t68 () (= @t66 @t48)) % 0.38/0.58 (define @t69 () (= @t48 @t66)) % 0.38/0.58 (define @t70 () (@list false)) % 0.38/0.58 (define @t71 () (not @t66)) % 0.38/0.58 (define @t72 () (not @t65)) % 0.38/0.58 (define @t73 () (not @t60)) % 0.38/0.58 (define @t74 () (or @t59 (= @t36 @t37))) % 0.38/0.58 (define @t75 () (and @t65 @t74)) % 0.38/0.58 (define @t76 () (tptp.set_difference (tptp.unordered_pair @t36 @t37) @t35)) % 0.38/0.58 (define @t77 () (= @t76 @t49)) % 0.38/0.58 (define @t78 () (= @t77 @t75)) % 0.38/0.58 (define @t79 () (or @t59 @t56)) % 0.38/0.58 (define @t80 () (and @t65 @t79)) % 0.38/0.58 (define @t81 () (= @t49 @t76)) % 0.38/0.58 (define @t82 () (= @t81 @t80)) % 0.38/0.58 (define @t83 () (not @t80)) % 0.38/0.58 (define @t84 () (not @t79)) % 0.38/0.58 (define @t85 () (and @t59 @t57)) % 0.38/0.58 (define @t86 () (forall @t11 (= @t19 @t33))) % 0.38/0.58 (define @t87 () (= @t85 @t52)) % 0.38/0.58 (define @t88 () (= @t52 @t85)) % 0.38/0.58 (define @t89 () (not @t85)) % 0.38/0.58 (define @t90 () (not @t58)) % 0.38/0.58 (assume @p1 (forall @t3 (=> (tptp.in @t1 @t2) (not (tptp.in @t2 @t1))))) % 0.38/0.58 (assume @p2 (forall @t3 (= @t4 (tptp.unordered_pair @t2 @t1)))) % 0.38/0.58 (assume @p3 (tptp.empty tptp.empty_set)) % 0.38/0.58 (assume @p4 @t12) % 0.38/0.58 (assume @p5 (exists @t14 @t13)) % 0.38/0.58 (assume @p6 (exists @t14 (not @t13))) % 0.38/0.58 (assume @p7 @t18) % 0.38/0.58 (assume @p8 @t22) % 0.38/0.58 (assume @p9 @t31) % 0.38/0.58 (assume @p10 true) % 0.38/0.58 (step @p11 :rule instantiate :premises (@p4) :args (@t38)) % 0.38/0.58 (step @p12 :rule bool-double-not-elim :args (@t32)) % 0.38/0.58 (step @p13 :rule bool-double-not-elim :args (@t24)) % 0.38/0.58 (step @p14 :rule bool-double-not-elim :args (@t10)) % 0.38/0.58 (step @p15 :rule bool-double-not-elim :args (@t33)) % 0.38/0.58 (step @p16 :rule nary_cong :premises (@p15 @p14 @p13 @p12) :args (@t45)) % 0.38/0.58 (step @p17 :rule aci_norm :args ((= (or @t44 (or @t42 (or @t41 @t40))) @t45))) % 0.38/0.58 (step @p18 :rule trans :premises (@p17 @p16)) % 0.38/0.58 (step @p19 :rule bool-and-de-morgan :args (@t25 @t39 true)) % 0.38/0.58 (step @p20 :rule refl :args (@t42)) % 0.38/0.58 (step @p21 :rule nary_cong :premises (@p20 @p19) :args ((or @t42 (not (and @t25 @t39))))) % 0.38/0.58 (step @p22 :rule bool-and-de-morgan :args (@t26 @t25 (and @t39))) % 0.38/0.58 (step @p23 :rule trans :premises (@p22 @p21)) % 0.38/0.58 (step @p24 :rule refl :args (@t44)) % 0.38/0.58 (step @p25 :rule nary_cong :premises (@p24 @p23) :args ((or @t44 (not (and @t26 @t25 @t39))))) % 0.38/0.58 (step @p26 :rule bool-and-de-morgan :args (@t43 @t26 (and @t25 @t39))) % 0.38/0.58 (step @p27 :rule trans :premises (@p26 @p25)) % 0.38/0.58 (step @p28 :rule trans :premises (@p27 @p18)) % 0.38/0.58 (step @p29 :rule cong :premises (@p28) :args ((forall @t11 (not (and @t43 @t26 @t25 @t39))))) % 0.38/0.58 (step @p30 :rule eq-symm :args (@t9 @t4)) % 0.38/0.58 (step @p31 :rule cong :premises (@p30) :args (@t23)) % 0.38/0.58 (step @p32 :rule refl :args (@t25)) % 0.38/0.58 (step @p33 :rule refl :args (@t26)) % 0.38/0.58 (step @p34 :rule eq-symm :args (@t9 tptp.empty_set)) % 0.38/0.58 (step @p35 :rule cong :premises (@p34) :args (@t27)) % 0.38/0.58 (step @p36 :rule nary_cong :premises (@p35 @p33 @p32 @p31) :args (@t28)) % 0.38/0.58 (step @p37 :rule cong :premises (@p36) :args (@t29)) % 0.38/0.58 (step @p38 :rule cong :premises (@p37) :args (@t30)) % 0.38/0.58 (step @p39 :rule trans :premises (@p38 @p29)) % 0.38/0.58 (step @p40 :rule cong :premises (@p39) :args (@t31)) % 0.38/0.58 (step @p41 :rule eq_resolve :premises (@p9 @p40)) % 0.38/0.58 (step @p42 :rule skolemize :premises (@p41)) % 0.38/0.58 (step @p43 :rule cnf_or_neg :args (@t53 1)) % 0.38/0.58 (step @p44 :rule chain_m_resolution :premises (@p43 @p42) :args ((not @t51) @t54 @t55)) % 0.38/0.58 (step @p45 :rule cnf_equiv_pos2 :args (@t62)) % 0.38/0.58 (step @p46 :rule reordering :premises (@p45) :args ((or @t51 @t63 (not @t62)))) % 0.38/0.58 (step @p47 :rule chain_m_resolution :premises (@p46 @p44 @p11) :args (@t63 @t64 (@list @t51 @t62))) % 0.38/0.58 (step @p48 :rule eq-symm :args (@t32 @t15)) % 0.38/0.58 (step @p49 :rule refl :args (@t15)) % 0.38/0.58 (step @p50 :rule cong :premises (@p30 @p49) :args (@t17)) % 0.38/0.58 (step @p51 :rule trans :premises (@p50 @p48)) % 0.38/0.58 (step @p52 :rule cong :premises (@p51) :args (@t18)) % 0.38/0.58 (step @p53 :rule eq_resolve :premises (@p7 @p52)) % 0.38/0.58 (step @p54 :rule eq-symm :args (@t66 @t48)) % 0.38/0.58 (step @p55 :rule refl :args (@t67)) % 0.38/0.58 (step @p56 :rule cong :premises (@p55 @p54) :args ((=> @t67 @t68))) % 0.38/0.58 (assume-push @p155 @t67) % 0.38/0.58 (step @p58 :rule instantiate :premises (@p53) :args (@t38)) % 0.38/0.58 (step-pop @p156 :rule scope :premises (@p58)) % 0.38/0.58 (step @p59 :rule process_scope :premises (@p156) :args (@t68)) % 0.38/0.58 (step @p61 :rule eq_resolve :premises (@p59 @p56)) % 0.38/0.58 (step @p62 :rule implies_elim :premises (@p61)) % 0.38/0.58 (step @p63 :rule chain_m_resolution :premises (@p62 @p53) :args (@t69 @t70 (@list @t67))) % 0.38/0.58 (step @p64 :rule cnf_or_neg :args (@t53 3)) % 0.38/0.58 (step @p65 :rule chain_m_resolution :premises (@p64 @p42) :args ((not @t48) @t54 @t55)) % 0.38/0.58 (step @p66 :rule cnf_equiv_pos2 :args (@t69)) % 0.38/0.58 (step @p67 :rule reordering :premises (@p66) :args ((or @t48 @t71 (not @t69)))) % 0.38/0.58 (step @p68 :rule chain_m_resolution :premises (@p67 @p65 @p63) :args (@t71 @t64 (@list @t48 @t69))) % 0.38/0.58 (step @p69 :rule bool-double-not-elim :args (@t57)) % 0.38/0.58 (step @p70 :rule bool-double-not-elim :args (@t59)) % 0.38/0.58 (step @p71 :rule refl :args (@t66)) % 0.38/0.58 (step @p72 :rule nary_cong :premises (@p71 @p70 @p69) :args ((or @t66 @t73 @t72))) % 0.38/0.58 (step @p73 :rule cnf_and_neg :args (@t66)) % 0.38/0.58 (step @p74 :rule eq_resolve :premises (@p73 @p72)) % 0.38/0.58 (step @p75 :rule reordering :premises (@p74) :args ((or @t59 @t57 @t66))) % 0.38/0.58 (step @p76 :rule eq-symm :args (@t36 @t37)) % 0.38/0.58 (step @p77 :rule refl :args (@t59)) % 0.38/0.58 (step @p78 :rule nary_cong :premises (@p77 @p76) :args (@t74)) % 0.38/0.58 (step @p79 :rule refl :args (@t65)) % 0.38/0.58 (step @p80 :rule nary_cong :premises (@p79 @p78) :args (@t75)) % 0.38/0.58 (step @p81 :rule eq-symm :args (@t76 @t49)) % 0.38/0.58 (step @p82 :rule cong :premises (@p81 @p80) :args (@t78)) % 0.38/0.58 (step @p83 :rule refl :args (@t12)) % 0.38/0.58 (step @p84 :rule cong :premises (@p83 @p82) :args ((=> @t12 @t78))) % 0.38/0.58 (assume-push @p157 @t12) % 0.38/0.58 (step @p86 :rule instantiate :premises (@p4) :args ((@list @t36 @t37 @t35))) % 0.38/0.58 (step-pop @p158 :rule scope :premises (@p86)) % 0.38/0.58 (step @p87 :rule process_scope :premises (@p158) :args (@t78)) % 0.38/0.58 (step @p89 :rule eq_resolve :premises (@p87 @p84)) % 0.38/0.58 (step @p90 :rule implies_elim :premises (@p89)) % 0.38/0.58 (step @p91 :rule chain_m_resolution :premises (@p90 @p4) :args (@t82 @t70 (@list @t12))) % 0.38/0.58 (step @p92 :rule bool-eq-false :args (@t81)) % 0.38/0.58 (step @p93 :rule symm :premises (@p92)) % 0.38/0.58 (step @p94 :rule cong :premises (@p81) :args ((not @t77))) % 0.38/0.58 (step @p95 :rule bool-eq-false :args (@t77)) % 0.38/0.58 (step @p96 :rule trans :premises (@p95 @p94)) % 0.38/0.58 (step @p97 :rule trans :premises (@p96 @p93)) % 0.38/0.58 (step @p98 :rule cnf_or_neg :args (@t53 2)) % 0.38/0.58 (step @p99 :rule chain_m_resolution :premises (@p98 @p42) :args ((not @t50) @t54 @t55)) % 0.38/0.58 (step @p100 :rule false_intro :premises (@p99)) % 0.38/0.58 (step @p101 :rule refl :args (@t49)) % 0.38/0.58 (step @p102 :rule refl :args (@t35)) % 0.38/0.58 (step @p103 :rule instantiate :premises (@p2) :args ((@list @t37 @t36))) % 0.38/0.58 (step @p104 :rule symm :premises (@p103)) % 0.38/0.58 (step @p105 :rule cong :premises (@p104 @p102) :args (@t76)) % 0.38/0.58 (step @p106 :rule cong :premises (@p105 @p101) :args (@t77)) % 0.38/0.58 (step @p107 :rule trans :premises (@p106 @p100)) % 0.38/0.58 (step @p108 :rule eq_resolve :premises (@p107 @p97)) % 0.38/0.58 (step @p109 :rule false_elim :premises (@p108)) % 0.38/0.58 (step @p110 :rule cnf_equiv_pos2 :args (@t82)) % 0.38/0.58 (step @p111 :rule reordering :premises (@p110) :args ((or @t81 @t83 (not @t82)))) % 0.38/0.58 (step @p112 :rule chain_m_resolution :premises (@p111 @p109 @p91) :args (@t83 @t64 (@list @t81 @t82))) % 0.38/0.58 (step @p113 :rule refl :args (@t84)) % 0.38/0.58 (step @p114 :rule refl :args (@t80)) % 0.38/0.58 (step @p115 :rule nary_cong :premises (@p114 @p69 @p113) :args ((or @t80 @t72 @t84))) % 0.38/0.58 (step @p116 :rule cnf_and_neg :args (@t80)) % 0.38/0.58 (step @p117 :rule eq_resolve :premises (@p116 @p115)) % 0.38/0.58 (step @p118 :rule reordering :premises (@p117) :args ((or @t57 @t80 @t84))) % 0.38/0.58 (step @p119 :rule cnf_or_neg :args (@t79 0)) % 0.38/0.58 (step @p120 :rule reordering :premises (@p119) :args ((or @t60 @t79))) % 0.38/0.58 (step @p121 :rule chain_m_resolution :premises (@p120 @p118 @p112 @p75 @p68) :args (@t57 (@list true true false true) (@list @t79 @t80 @t59 @t66))) % 0.38/0.58 (step @p122 :rule cnf_or_neg :args (@t58 0)) % 0.38/0.58 (step @p123 :rule chain_m_resolution :premises (@p122 @p121) :args (@t58 @t70 (@list @t57))) % 0.38/0.58 (step @p124 :rule eq-symm :args (@t33 @t19)) % 0.38/0.58 (step @p125 :rule refl :args (@t19)) % 0.38/0.58 (step @p126 :rule cong :premises (@p34 @p125) :args (@t21)) % 0.38/0.58 (step @p127 :rule trans :premises (@p126 @p124)) % 0.38/0.58 (step @p128 :rule cong :premises (@p127) :args (@t22)) % 0.38/0.58 (step @p129 :rule eq_resolve :premises (@p8 @p128)) % 0.38/0.58 (step @p130 :rule eq-symm :args (@t85 @t52)) % 0.38/0.58 (step @p131 :rule refl :args (@t86)) % 0.38/0.58 (step @p132 :rule cong :premises (@p131 @p130) :args ((=> @t86 @t87))) % 0.38/0.58 (assume-push @p159 @t86) % 0.38/0.58 (step @p134 :rule instantiate :premises (@p129) :args (@t38)) % 0.38/0.58 (step-pop @p160 :rule scope :premises (@p134)) % 0.38/0.58 (step @p135 :rule process_scope :premises (@p160) :args (@t87)) % 0.38/0.58 (step @p137 :rule eq_resolve :premises (@p135 @p132)) % 0.38/0.58 (step @p138 :rule implies_elim :premises (@p137)) % 0.38/0.58 (step @p139 :rule chain_m_resolution :premises (@p138 @p129) :args (@t88 @t70 (@list @t86))) % 0.38/0.58 (step @p140 :rule cnf_or_neg :args (@t53 0)) % 0.38/0.58 (step @p141 :rule chain_m_resolution :premises (@p140 @p42) :args ((not @t52) @t54 @t55)) % 0.38/0.58 (step @p142 :rule cnf_equiv_pos2 :args (@t88)) % 0.38/0.58 (step @p143 :rule reordering :premises (@p142) :args ((or @t52 @t89 (not @t88)))) % 0.38/0.58 (step @p144 :rule chain_m_resolution :premises (@p143 @p141 @p139) :args (@t89 @t64 (@list @t52 @t88))) % 0.38/0.58 (step @p145 :rule cnf_and_neg :args (@t85)) % 0.38/0.58 (step @p146 :rule reordering :premises (@p145) :args ((or @t60 @t65 @t85))) % 0.38/0.58 (step @p147 :rule chain_m_resolution :premises (@p146 @p121 @p144) :args (@t60 (@list false true) (@list @t57 @t85))) % 0.38/0.58 (step @p148 :rule refl :args (@t90)) % 0.38/0.58 (step @p149 :rule refl :args (@t61)) % 0.38/0.58 (step @p150 :rule nary_cong :premises (@p149 @p70 @p148) :args ((or @t61 @t73 @t90))) % 0.38/0.58 (step @p151 :rule cnf_and_neg :args (@t61)) % 0.38/0.58 (step @p152 :rule eq_resolve :premises (@p151 @p150)) % 0.38/0.58 (step @p153 :rule reordering :premises (@p152) :args ((or @t59 @t61 @t90))) % 0.38/0.58 (step @p154 false :rule chain_m_resolution :premises (@p153 @p147 @p123 @p47) :args (false (@list true false true) (@list @t59 @t58 @t61))) % 0.38/0.58 ) % 0.38/0.58 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------