%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU125+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n004.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 08:50:37 AM UTC 2026 % Result : Theorem 33.61s 33.86s % Output : Proof 33.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU125+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n004.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 16:30:37 EDT 2026 % 0.16/0.34 % CPUTime : % 0.26/0.50 %----Proving TF0_NAR, FOF, or CNF % 33.61/33.86 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 33.61/33.86 --- Run --no-e-matching --full-saturate-quant at 6... % 33.61/33.86 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 33.61/33.86 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.61/33.86 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.61/33.86 % SZS status Theorem % 33.61/33.86 % SZS output start Proof % 33.61/33.86 ( % 33.61/33.86 (declare-sort $$unsorted 0) % 33.61/33.86 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 33.61/33.86 (declare-const tptp.empty (-> $$unsorted Bool)) % 33.61/33.86 (declare-const tptp.empty_set $$unsorted) % 33.61/33.86 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 33.61/33.86 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 33.61/33.86 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 33.61/33.86 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 33.61/33.86 (define @t1 () (@var "A" $$unsorted)) % 33.61/33.86 (define @t2 () (@var "B" $$unsorted)) % 33.61/33.86 (define @t3 () (not (tptp.in @t2 @t1))) % 33.61/33.86 (define @t4 () (tptp.in @t1 @t2)) % 33.61/33.86 (define @t5 () (@list @t1 @t2)) % 33.61/33.86 (define @t6 () (tptp.set_union2 @t2 @t1)) % 33.61/33.86 (define @t7 () (tptp.set_union2 @t1 @t2)) % 33.61/33.86 (define @t8 () (tptp.set_intersection2 @t1 @t2)) % 33.61/33.86 (define @t9 () (tptp.subset @t1 @t2)) % 33.61/33.86 (define @t10 () (= @t1 @t2)) % 33.61/33.86 (define @t11 () (= @t1 tptp.empty_set)) % 33.61/33.86 (define @t12 () (@list @t1)) % 33.61/33.86 (define @t13 () (@var "D" $$unsorted)) % 33.61/33.86 (define @t14 () (tptp.in @t13 @t2)) % 33.61/33.86 (define @t15 () (tptp.in @t13 @t1)) % 33.61/33.86 (define @t16 () (@var "C" $$unsorted)) % 33.61/33.86 (define @t17 () (tptp.in @t13 @t16)) % 33.61/33.86 (define @t18 () (@list @t13)) % 33.61/33.86 (define @t19 () (forall @t18 (= @t17 (or @t15 @t14)))) % 33.61/33.86 (define @t20 () (= (= @t16 @t7) @t19)) % 33.61/33.86 (define @t21 () (@list @t1 @t2 @t16)) % 33.61/33.86 (define @t22 () (forall @t21 @t20)) % 33.61/33.86 (define @t23 () (tptp.in @t16 @t2)) % 33.61/33.86 (define @t24 () (tptp.in @t16 @t1)) % 33.61/33.86 (define @t25 () (@list @t16)) % 33.61/33.86 (define @t26 () (forall @t25 (=> @t24 @t23))) % 33.61/33.86 (define @t27 () (= @t9 @t26)) % 33.61/33.86 (define @t28 () (forall @t5 @t27)) % 33.61/33.86 (define @t29 () (tptp.disjoint @t1 @t2)) % 33.61/33.86 (define @t30 () (tptp.empty @t1)) % 33.61/33.86 (define @t31 () (not @t30)) % 33.61/33.86 (define @t32 () (and @t24 @t23)) % 33.61/33.86 (define @t33 () (not @t29)) % 33.61/33.86 (define @t34 () (tptp.in @t16 @t8)) % 33.61/33.86 (define @t35 () (tptp.empty @t2)) % 33.61/33.86 (define @t36 () (tptp.subset (tptp.set_union2 @t1 @t16) @t2)) % 33.61/33.86 (define @t37 () (tptp.subset @t16 @t2)) % 33.61/33.86 (define @t38 () (and @t9 @t37)) % 33.61/33.86 (define @t39 () (forall @t21 (=> @t38 @t36))) % 33.61/33.86 (define @t40 () (not @t39)) % 33.61/33.86 (define @t41 () (not @t37)) % 33.61/33.86 (define @t42 () (not @t9)) % 33.61/33.86 (define @t43 () (or @t42 @t41 @t36)) % 33.61/33.86 (define @t44 () (forall @t21 @t43)) % 33.61/33.86 (define @t45 () (@quantifiers_skolemize @t44 1)) % 33.61/33.86 (define @t46 () (@quantifiers_skolemize @t44 0)) % 33.61/33.86 (define @t47 () (tptp.subset @t46 @t45)) % 33.61/33.86 (define @t48 () (@quantifiers_skolemize @t44 2)) % 33.61/33.86 (define @t49 () (tptp.set_union2 @t46 @t48)) % 33.61/33.86 (define @t50 () (tptp.subset @t49 @t45)) % 33.61/33.86 (define @t51 () (tptp.subset @t48 @t45)) % 33.61/33.86 (define @t52 () (not @t51)) % 33.61/33.86 (define @t53 () (not @t47)) % 33.61/33.86 (define @t54 () (or @t53 @t52 @t50)) % 33.61/33.86 (define @t55 () (@list true)) % 33.61/33.86 (define @t56 () (@list @t54)) % 33.61/33.86 (define @t57 () (tptp.in @t16 @t45)) % 33.61/33.86 (define @t58 () (forall @t25 (or (not (tptp.in @t16 @t46)) @t57))) % 33.61/33.86 (define @t59 () (= @t47 @t58)) % 33.61/33.86 (define @t60 () (@list false false)) % 33.61/33.86 (define @t61 () (= @t7 @t16)) % 33.61/33.86 (define @t62 () (forall @t18 (= (tptp.in @t13 @t49) (or (tptp.in @t13 @t46) (tptp.in @t13 @t48))))) % 33.61/33.86 (define @t63 () (= @t62 (= @t49 @t49))) % 33.61/33.86 (define @t64 () (forall @t21 (= @t19 @t61))) % 33.61/33.86 (define @t65 () (forall @t25 (or (not (tptp.in @t16 @t49)) @t57))) % 33.61/33.86 (define @t66 () (@quantifiers_skolemize @t65 0)) % 33.61/33.86 (define @t67 () (@list @t66)) % 33.61/33.86 (define @t68 () (= @t50 @t65)) % 33.61/33.86 (define @t69 () (not @t65)) % 33.61/33.86 (define @t70 () (@list true false)) % 33.61/33.86 (define @t71 () (tptp.in @t66 @t49)) % 33.61/33.86 (define @t72 () (tptp.in @t66 @t45)) % 33.61/33.86 (define @t73 () (not @t71)) % 33.61/33.86 (define @t74 () (or @t73 @t72)) % 33.61/33.86 (define @t75 () (@list @t74)) % 33.61/33.86 (define @t76 () (tptp.in @t66 @t48)) % 33.61/33.86 (define @t77 () (tptp.in @t66 @t46)) % 33.61/33.86 (define @t78 () (or @t77 @t76)) % 33.61/33.86 (define @t79 () (= @t71 @t78)) % 33.61/33.86 (define @t80 () (forall @t25 (or (not (tptp.in @t16 @t48)) @t57))) % 33.61/33.86 (define @t81 () (= @t51 @t80)) % 33.61/33.86 (define @t82 () (not @t76)) % 33.61/33.86 (define @t83 () (or @t82 @t72)) % 33.61/33.86 (define @t84 () (not @t77)) % 33.61/33.86 (define @t85 () (or @t84 @t72)) % 33.61/33.86 (define @t86 () (not @t85)) % 33.61/33.86 (assume @p1 (forall @t5 (=> @t4 @t3))) % 33.61/33.86 (assume @p2 (forall @t5 (= @t7 @t6))) % 33.61/33.86 (assume @p3 (forall @t5 (= @t8 (tptp.set_intersection2 @t2 @t1)))) % 33.61/33.86 (assume @p4 (forall @t5 (= @t10 (and @t9 (tptp.subset @t2 @t1))))) % 33.61/33.86 (assume @p5 (forall @t12 (= @t11 (forall (@list @t2) @t3)))) % 33.61/33.86 (assume @p6 @t22) % 33.61/33.86 (assume @p7 @t28) % 33.61/33.86 (assume @p8 (forall @t21 (= (= @t16 @t8) (forall @t18 (= @t17 (and @t15 @t14)))))) % 33.61/33.86 (assume @p9 (forall @t5 (= @t29 (= @t8 tptp.empty_set)))) % 33.61/33.86 (assume @p10 true) % 33.61/33.86 (assume @p11 (tptp.empty tptp.empty_set)) % 33.61/33.86 (assume @p12 (forall @t5 (=> @t31 (not (tptp.empty @t7))))) % 33.61/33.86 (assume @p13 (forall @t5 (=> @t31 (not (tptp.empty @t6))))) % 33.61/33.86 (assume @p14 (forall @t5 (= (tptp.set_union2 @t1 @t1) @t1))) % 33.61/33.86 (assume @p15 (forall @t5 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 33.61/33.86 (assume @p16 (exists @t12 @t30)) % 33.61/33.86 (assume @p17 (exists @t12 @t31)) % 33.61/33.86 (assume @p18 (forall @t5 (tptp.subset @t1 @t1))) % 33.61/33.86 (assume @p19 (forall @t5 (=> @t29 (tptp.disjoint @t2 @t1)))) % 33.61/33.86 (assume @p20 (forall @t12 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 33.61/33.86 (assume @p21 (forall @t21 (=> (and @t9 (tptp.subset @t2 @t16)) (tptp.subset @t1 @t16)))) % 33.61/33.86 (assume @p22 (forall @t12 (tptp.subset tptp.empty_set @t1))) % 33.61/33.86 (assume @p23 (forall @t5 (and (not (and @t33 (forall @t25 (not @t32)))) (not (and (exists @t25 @t32) @t29))))) % 33.61/33.86 (assume @p24 (forall @t12 (=> (tptp.subset @t1 tptp.empty_set) @t11))) % 33.61/33.86 (assume @p25 (forall @t5 (and (not (and @t33 (forall @t25 (not @t34)))) (not (and (exists @t25 @t34) @t29))))) % 33.61/33.86 (assume @p26 (forall @t12 (=> @t30 @t11))) % 33.61/33.86 (assume @p27 (forall @t5 (not (and @t4 @t35)))) % 33.61/33.86 (assume @p28 (forall @t5 (tptp.subset @t1 @t7))) % 33.61/33.86 (assume @p29 (forall @t5 (not (and @t30 (not @t10) @t35)))) % 33.61/33.86 (assume @p30 @t40) % 33.61/33.86 (step @p31 :rule bool-impl-elim :args (@t24 @t23)) % 33.61/33.86 (step @p32 :rule cong :premises (@p31) :args (@t26)) % 33.61/33.86 (step @p33 :rule refl :args (@t9)) % 33.61/33.86 (step @p34 :rule cong :premises (@p33 @p32) :args (@t27)) % 33.61/33.86 (step @p35 :rule cong :premises (@p34) :args (@t28)) % 33.61/33.86 (step @p36 :rule eq_resolve :premises (@p7 @p35)) % 33.61/33.86 (step @p37 :rule instantiate :premises (@p36) :args ((@list @t46 @t45))) % 33.61/33.86 (step @p38 :rule aci_norm :args ((= (or (or @t42 @t41) @t36) @t43))) % 33.61/33.86 (step @p39 :rule refl :args (@t36)) % 33.61/33.86 (step @p40 :rule bool-and-de-morgan :args (@t9 @t37 true)) % 33.61/33.86 (step @p41 :rule nary_cong :premises (@p40 @p39) :args ((or (not @t38) @t36))) % 33.61/33.86 (step @p42 :rule trans :premises (@p41 @p38)) % 33.61/33.86 (step @p43 :rule bool-impl-elim :args (@t38 @t36)) % 33.61/33.86 (step @p44 :rule trans :premises (@p43 @p42)) % 33.61/33.86 (step @p45 :rule cong :premises (@p44) :args (@t39)) % 33.61/33.86 (step @p46 :rule cong :premises (@p45) :args (@t40)) % 33.61/33.86 (step @p47 :rule eq_resolve :premises (@p30 @p46)) % 33.61/33.86 (step @p48 :rule skolemize :premises (@p47)) % 33.61/33.86 (step @p49 :rule bool-double-not-elim :args (@t47)) % 33.61/33.86 (step @p50 :rule refl :args (@t54)) % 33.61/33.86 (step @p51 :rule nary_cong :premises (@p50 @p49) :args ((or @t54 (not @t53)))) % 33.61/33.86 (step @p52 :rule cnf_or_neg :args (@t54 0)) % 33.61/33.86 (step @p53 :rule eq_resolve :premises (@p52 @p51)) % 33.61/33.86 (step @p54 :rule reordering :premises (@p53) :args ((or @t47 @t54))) % 33.61/33.86 (step @p55 :rule chain_m_resolution :premises (@p54 @p48) :args (@t47 @t55 @t56)) % 33.61/33.86 (step @p56 :rule cnf_equiv_pos1 :args (@t59)) % 33.61/33.86 (step @p57 :rule reordering :premises (@p56) :args ((or @t53 @t58 (not @t59)))) % 33.61/33.86 (step @p58 :rule chain_m_resolution :premises (@p57 @p55 @p37) :args (@t58 @t60 (@list @t47 @t59))) % 33.61/33.86 (step @p59 :rule eq-symm :args (@t61 @t19)) % 33.61/33.86 (step @p60 :rule refl :args (@t19)) % 33.61/33.86 (step @p61 :rule eq-symm :args (@t16 @t7)) % 33.61/33.86 (step @p62 :rule cong :premises (@p61 @p60) :args (@t20)) % 33.61/33.86 (step @p63 :rule trans :premises (@p62 @p59)) % 33.61/33.86 (step @p64 :rule cong :premises (@p63) :args (@t22)) % 33.61/33.86 (step @p65 :rule eq_resolve :premises (@p6 @p64)) % 33.61/33.86 (step @p66 :rule bool-eq-true :args (@t62)) % 33.61/33.86 (step @p67 :rule eq-refl :args (@t49)) % 33.61/33.86 (step @p68 :rule refl :args (@t62)) % 33.61/33.86 (step @p69 :rule cong :premises (@p68 @p67) :args (@t63)) % 33.61/33.86 (step @p70 :rule trans :premises (@p69 @p66)) % 33.61/33.86 (step @p71 :rule refl :args (@t64)) % 33.61/33.86 (step @p72 :rule cong :premises (@p71 @p70) :args ((=> @t64 @t63))) % 33.61/33.86 (assume-push @p126 @t64) % 33.61/33.86 (step @p74 :rule instantiate :premises (@p65) :args ((@list @t46 @t48 @t49))) % 33.61/33.86 (step-pop @p127 :rule scope :premises (@p74)) % 33.61/33.86 (step @p75 :rule process_scope :premises (@p127) :args (@t63)) % 33.61/33.86 (step @p77 :rule eq_resolve :premises (@p75 @p72)) % 33.61/33.86 (step @p78 :rule implies_elim :premises (@p77)) % 33.61/33.86 (step @p79 :rule chain_m_resolution :premises (@p78 @p65) :args (@t62 (@list false) (@list @t64))) % 33.61/33.86 (step @p80 :rule instantiate :premises (@p79) :args (@t67)) % 33.61/33.86 (step @p81 :rule instantiate :premises (@p36) :args ((@list @t49 @t45))) % 33.61/33.86 (step @p82 :rule cnf_or_neg :args (@t54 2)) % 33.61/33.86 (step @p83 :rule chain_m_resolution :premises (@p82 @p48) :args ((not @t50) @t55 @t56)) % 33.61/33.86 (step @p84 :rule cnf_equiv_pos2 :args (@t68)) % 33.61/33.86 (step @p85 :rule reordering :premises (@p84) :args ((or @t50 @t69 (not @t68)))) % 33.61/33.86 (step @p86 :rule chain_m_resolution :premises (@p85 @p83 @p81) :args (@t69 @t70 (@list @t50 @t68))) % 33.61/33.86 (step @p87 :rule skolemize :premises (@p86)) % 33.61/33.86 (step @p88 :rule bool-double-not-elim :args (@t71)) % 33.61/33.86 (step @p89 :rule refl :args (@t74)) % 33.61/33.86 (step @p90 :rule nary_cong :premises (@p89 @p88) :args ((or @t74 (not @t73)))) % 33.61/33.86 (step @p91 :rule cnf_or_neg :args (@t74 0)) % 33.61/33.86 (step @p92 :rule eq_resolve :premises (@p91 @p90)) % 33.61/33.86 (step @p93 :rule reordering :premises (@p92) :args ((or @t71 @t74))) % 33.61/33.86 (step @p94 :rule chain_m_resolution :premises (@p93 @p87) :args (@t71 @t55 @t75)) % 33.61/33.86 (step @p95 :rule cnf_equiv_pos1 :args (@t79)) % 33.61/33.86 (step @p96 :rule reordering :premises (@p95) :args ((or @t73 @t78 (not @t79)))) % 33.61/33.86 (step @p97 :rule chain_m_resolution :premises (@p96 @p94 @p80) :args (@t78 @t60 (@list @t71 @t79))) % 33.61/33.86 (step @p98 :rule instantiate :premises (@p36) :args ((@list @t48 @t45))) % 33.61/33.86 (step @p99 :rule bool-double-not-elim :args (@t51)) % 33.61/33.86 (step @p100 :rule nary_cong :premises (@p50 @p99) :args ((or @t54 (not @t52)))) % 33.61/33.86 (step @p101 :rule cnf_or_neg :args (@t54 1)) % 33.61/33.86 (step @p102 :rule eq_resolve :premises (@p101 @p100)) % 33.61/33.86 (step @p103 :rule reordering :premises (@p102) :args ((or @t51 @t54))) % 33.61/33.86 (step @p104 :rule chain_m_resolution :premises (@p103 @p48) :args (@t51 @t55 @t56)) % 33.61/33.86 (step @p105 :rule cnf_equiv_pos1 :args (@t81)) % 33.61/33.86 (step @p106 :rule reordering :premises (@p105) :args ((or @t52 @t80 (not @t81)))) % 33.61/33.86 (step @p107 :rule chain_m_resolution :premises (@p106 @p104 @p98) :args (@t80 @t60 (@list @t51 @t81))) % 33.61/33.86 (step @p108 :rule instantiate :premises (@p107) :args (@t67)) % 33.61/33.86 (step @p109 :rule cnf_or_neg :args (@t74 1)) % 33.61/33.86 (step @p110 :rule chain_m_resolution :premises (@p109 @p87) :args ((not @t72) @t55 @t75)) % 33.61/33.86 (step @p111 :rule cnf_or_pos :args (@t83)) % 33.61/33.86 (step @p112 :rule reordering :premises (@p111) :args ((or @t72 @t82 (not @t83)))) % 33.61/33.86 (step @p113 :rule chain_m_resolution :premises (@p112 @p110 @p108) :args (@t82 @t70 (@list @t72 @t83))) % 33.61/33.86 (step @p114 :rule cnf_or_pos :args (@t78)) % 33.61/33.86 (step @p115 :rule reordering :premises (@p114) :args ((or @t76 @t77 (not @t78)))) % 33.61/33.86 (step @p116 :rule chain_m_resolution :premises (@p115 @p113 @p97) :args (@t77 @t70 (@list @t76 @t78))) % 33.61/33.86 (step @p117 :rule cnf_or_pos :args (@t85)) % 33.61/33.86 (step @p118 :rule reordering :premises (@p117) :args ((or @t72 @t84 @t86))) % 33.61/33.86 (step @p119 :rule chain_m_resolution :premises (@p118 @p110 @p116) :args (@t86 @t70 (@list @t72 @t77))) % 33.61/33.86 (assume-push @p128 @t58) % 33.61/33.86 (step @p121 :rule instantiate :premises (@p58) :args (@t67)) % 33.61/33.86 (step-pop @p129 :rule scope :premises (@p121)) % 33.61/33.86 (step @p122 :rule process_scope :premises (@p129) :args (@t85)) % 33.61/33.86 (step @p124 :rule implies_elim :premises (@p122)) % 33.61/33.86 (step @p125 false :rule chain_m_resolution :premises (@p124 @p119 @p58) :args (false @t70 (@list @t85 @t58))) % 33.61/33.86 ) % 33.61/33.86 % SZS output end Proof % 33.61/33.86 % cvc5 exiting %------------------------------------------------------------------------------