%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU263+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n026.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 08:51:10 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 : SEU263+1 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n026.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Tue Jun 2 16:49:10 EDT 2026 % 0.15/0.34 % CPUTime : % 0.31/0.48 %----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 $$unsorted 0) % 0.38/0.58 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.38/0.58 (define @t1 () (@var "C" $$unsorted)) % 0.38/0.58 (define @t2 () (tptp.relation @t1)) % 0.38/0.58 (define @t3 () (@var "B" $$unsorted)) % 0.38/0.58 (define @t4 () (@var "A" $$unsorted)) % 0.38/0.58 (define @t5 () (tptp.cartesian_product2 @t4 @t3)) % 0.38/0.58 (define @t6 () (tptp.element @t1 (tptp.powerset @t5))) % 0.38/0.58 (define @t7 () (@list @t4 @t3 @t1)) % 0.38/0.58 (define @t8 () (forall @t7 (=> @t6 @t2))) % 0.38/0.58 (define @t9 () (tptp.relation_of2 @t1 @t4 @t3)) % 0.38/0.58 (define @t10 () (tptp.relation_of2_as_subset @t1 @t4 @t3)) % 0.38/0.58 (define @t11 () (forall @t7 (=> @t10 @t6))) % 0.38/0.58 (define @t12 () (@list @t1)) % 0.38/0.58 (define @t13 () (@list @t4 @t3)) % 0.38/0.58 (define @t14 () (@list @t4)) % 0.38/0.58 (define @t15 () (forall @t7 (= @t10 @t9))) % 0.38/0.58 (define @t16 () (@var "D" $$unsorted)) % 0.38/0.58 (define @t17 () (tptp.subset (tptp.cartesian_product2 @t4 @t1) (tptp.cartesian_product2 @t3 @t16))) % 0.38/0.58 (define @t18 () (tptp.subset @t1 @t16)) % 0.38/0.58 (define @t19 () (tptp.subset @t4 @t3)) % 0.38/0.58 (define @t20 () (and @t19 @t18)) % 0.38/0.58 (define @t21 () (@list @t4 @t3 @t1 @t16)) % 0.38/0.58 (define @t22 () (forall @t21 (=> @t20 @t17))) % 0.38/0.58 (define @t23 () (and (tptp.subset (tptp.relation_dom @t1) @t4) (tptp.subset (tptp.relation_rng @t1) @t3))) % 0.38/0.58 (define @t24 () (forall @t7 (=> @t10 @t23))) % 0.38/0.58 (define @t25 () (tptp.relation_of2_as_subset @t16 @t1 @t3)) % 0.38/0.58 (define @t26 () (tptp.subset (tptp.relation_rng @t16) @t3)) % 0.38/0.58 (define @t27 () (=> @t26 @t25)) % 0.38/0.58 (define @t28 () (tptp.relation_of2_as_subset @t16 @t1 @t4)) % 0.38/0.58 (define @t29 () (forall @t21 (=> @t28 @t27))) % 0.38/0.58 (define @t30 () (not @t29)) % 0.38/0.58 (define @t31 () (tptp.subset @t4 @t1)) % 0.38/0.58 (define @t32 () (tptp.subset @t3 @t1)) % 0.38/0.58 (define @t33 () (and @t19 @t32)) % 0.38/0.58 (define @t34 () (forall @t7 (=> @t33 @t31))) % 0.38/0.58 (define @t35 () (tptp.subset @t4 (tptp.cartesian_product2 (tptp.relation_dom @t4) (tptp.relation_rng @t4)))) % 0.38/0.58 (define @t36 () (tptp.relation @t4)) % 0.38/0.58 (define @t37 () (forall @t14 (=> @t36 @t35))) % 0.38/0.58 (define @t38 () (not @t32)) % 0.38/0.58 (define @t39 () (not @t19)) % 0.38/0.58 (define @t40 () (or @t39 @t38 @t31)) % 0.38/0.58 (define @t41 () (not @t18)) % 0.38/0.58 (define @t42 () (not @t26)) % 0.38/0.58 (define @t43 () (not @t28)) % 0.38/0.58 (define @t44 () (or @t43 @t42 @t25)) % 0.38/0.58 (define @t45 () (forall @t21 @t44)) % 0.38/0.58 (define @t46 () (@quantifiers_skolemize @t45 1)) % 0.38/0.58 (define @t47 () (@quantifiers_skolemize @t45 3)) % 0.38/0.58 (define @t48 () (tptp.relation_rng @t47)) % 0.38/0.58 (define @t49 () (@quantifiers_skolemize @t45 2)) % 0.38/0.58 (define @t50 () (tptp.relation_dom @t47)) % 0.38/0.58 (define @t51 () (@quantifiers_skolemize @t45 0)) % 0.38/0.58 (define @t52 () (@list @t49 @t51 @t47)) % 0.38/0.58 (define @t53 () (tptp.relation_of2_as_subset @t47 @t49 @t51)) % 0.38/0.58 (define @t54 () (tptp.relation_of2_as_subset @t47 @t49 @t46)) % 0.38/0.58 (define @t55 () (tptp.subset @t48 @t46)) % 0.38/0.58 (define @t56 () (not @t55)) % 0.38/0.58 (define @t57 () (not @t53)) % 0.38/0.58 (define @t58 () (or @t57 @t56 @t54)) % 0.38/0.58 (define @t59 () (@list true)) % 0.38/0.58 (define @t60 () (@list @t58)) % 0.38/0.58 (define @t61 () (tptp.subset @t50 @t49)) % 0.38/0.58 (define @t62 () (and @t61 (tptp.subset @t48 @t51))) % 0.38/0.58 (define @t63 () (or @t57 @t62)) % 0.38/0.58 (define @t64 () (@list false false)) % 0.38/0.58 (define @t65 () (@list false)) % 0.38/0.58 (define @t66 () (tptp.cartesian_product2 @t49 @t46)) % 0.38/0.58 (define @t67 () (tptp.cartesian_product2 @t50 @t48)) % 0.38/0.58 (define @t68 () (tptp.subset @t67 @t66)) % 0.38/0.58 (define @t69 () (not @t61)) % 0.38/0.58 (define @t70 () (or @t69 @t56 @t68)) % 0.38/0.58 (define @t71 () (@list @t49 @t46 @t47)) % 0.38/0.58 (define @t72 () (tptp.relation_of2 @t47 @t49 @t46)) % 0.38/0.58 (define @t73 () (forall @t7 (= @t9 @t10))) % 0.38/0.58 (define @t74 () (= @t72 @t54)) % 0.38/0.58 (define @t75 () (= @t54 @t72)) % 0.38/0.58 (define @t76 () (not @t72)) % 0.38/0.58 (define @t77 () (@list true false)) % 0.38/0.58 (define @t78 () (tptp.subset @t47 @t66)) % 0.38/0.58 (define @t79 () (= @t72 @t78)) % 0.38/0.58 (define @t80 () (not @t78)) % 0.38/0.58 (define @t81 () (tptp.element @t47 (tptp.powerset (tptp.cartesian_product2 @t49 @t51)))) % 0.38/0.58 (define @t82 () (or @t57 @t81)) % 0.38/0.58 (define @t83 () (tptp.relation @t47)) % 0.38/0.58 (define @t84 () (not @t81)) % 0.38/0.58 (define @t85 () (or @t84 @t83)) % 0.38/0.58 (define @t86 () (tptp.subset @t47 @t67)) % 0.38/0.58 (define @t87 () (not @t83)) % 0.38/0.58 (define @t88 () (or @t87 @t86)) % 0.38/0.58 (define @t89 () (not @t68)) % 0.38/0.58 (define @t90 () (not @t86)) % 0.38/0.58 (define @t91 () (or @t90 @t89 @t78)) % 0.38/0.58 (define @t92 () (not @t91)) % 0.38/0.58 (define @t93 () (forall @t7 @t40)) % 0.38/0.58 (assume @p1 @t8) % 0.38/0.58 (assume @p2 (forall @t7 (= @t9 (tptp.subset @t1 @t5)))) % 0.38/0.58 (assume @p3 true) % 0.38/0.58 (assume @p4 @t11) % 0.38/0.58 (assume @p5 (forall @t13 (exists @t12 @t9))) % 0.38/0.58 (assume @p6 (forall @t14 (exists (@list @t3) (tptp.element @t3 @t4)))) % 0.38/0.58 (assume @p7 (forall @t13 (exists @t12 @t10))) % 0.38/0.58 (assume @p8 @t15) % 0.38/0.58 (assume @p9 (forall @t13 (tptp.subset @t4 @t4))) % 0.38/0.58 (assume @p10 @t22) % 0.38/0.58 (assume @p11 @t24) % 0.38/0.58 (assume @p12 @t30) % 0.38/0.58 (assume @p13 @t34) % 0.38/0.58 (assume @p14 @t37) % 0.38/0.58 (assume @p15 (forall @t13 (= (tptp.element @t4 (tptp.powerset @t3)) @t19))) % 0.38/0.58 (step @p16 :rule aci_norm :args ((= (or (or @t39 @t38) @t31) @t40))) % 0.38/0.58 (step @p17 :rule refl :args (@t31)) % 0.38/0.58 (step @p18 :rule bool-and-de-morgan :args (@t19 @t32 true)) % 0.38/0.58 (step @p19 :rule nary_cong :premises (@p18 @p17) :args ((or (not @t33) @t31))) % 0.38/0.58 (step @p20 :rule trans :premises (@p19 @p16)) % 0.38/0.58 (step @p21 :rule bool-impl-elim :args (@t33 @t31)) % 0.38/0.58 (step @p22 :rule trans :premises (@p21 @p20)) % 0.38/0.58 (step @p23 :rule cong :premises (@p22) :args (@t34)) % 0.38/0.58 (step @p24 :rule eq_resolve :premises (@p13 @p23)) % 0.38/0.58 (step @p25 :rule aci_norm :args ((= (or (or @t39 @t41) @t17) (or @t39 @t41 @t17)))) % 0.38/0.58 (step @p26 :rule refl :args (@t17)) % 0.38/0.58 (step @p27 :rule bool-and-de-morgan :args (@t19 @t18 true)) % 0.38/0.58 (step @p28 :rule nary_cong :premises (@p27 @p26) :args ((or (not @t20) @t17))) % 0.38/0.58 (step @p29 :rule trans :premises (@p28 @p25)) % 0.38/0.58 (step @p30 :rule bool-impl-elim :args (@t20 @t17)) % 0.38/0.58 (step @p31 :rule trans :premises (@p30 @p29)) % 0.38/0.58 (step @p32 :rule cong :premises (@p31) :args (@t22)) % 0.38/0.58 (step @p33 :rule eq_resolve :premises (@p10 @p32)) % 0.38/0.58 (step @p34 :rule instantiate :premises (@p33) :args ((@list @t50 @t49 @t48 @t46))) % 0.38/0.58 (step @p35 :rule bool-impl-elim :args (@t10 @t23)) % 0.38/0.58 (step @p36 :rule cong :premises (@p35) :args (@t24)) % 0.38/0.58 (step @p37 :rule eq_resolve :premises (@p11 @p36)) % 0.38/0.58 (step @p38 :rule instantiate :premises (@p37) :args (@t52)) % 0.38/0.58 (step @p39 :rule aci_norm :args ((= (or @t43 (or @t42 @t25)) @t44))) % 0.38/0.58 (step @p40 :rule bool-impl-elim :args (@t26 @t25)) % 0.38/0.58 (step @p41 :rule refl :args (@t43)) % 0.38/0.58 (step @p42 :rule nary_cong :premises (@p41 @p40) :args ((or @t43 @t27))) % 0.38/0.58 (step @p43 :rule trans :premises (@p42 @p39)) % 0.38/0.58 (step @p44 :rule bool-impl-elim :args (@t28 @t27)) % 0.38/0.58 (step @p45 :rule trans :premises (@p44 @p43)) % 0.38/0.58 (step @p46 :rule cong :premises (@p45) :args (@t29)) % 0.38/0.58 (step @p47 :rule cong :premises (@p46) :args (@t30)) % 0.38/0.58 (step @p48 :rule eq_resolve :premises (@p12 @p47)) % 0.38/0.58 (step @p49 :rule skolemize :premises (@p48)) % 0.38/0.58 (step @p50 :rule bool-double-not-elim :args (@t53)) % 0.38/0.58 (step @p51 :rule refl :args (@t58)) % 0.38/0.58 (step @p52 :rule nary_cong :premises (@p51 @p50) :args ((or @t58 (not @t57)))) % 0.38/0.58 (step @p53 :rule cnf_or_neg :args (@t58 0)) % 0.38/0.58 (step @p54 :rule eq_resolve :premises (@p53 @p52)) % 0.38/0.58 (step @p55 :rule reordering :premises (@p54) :args ((or @t53 @t58))) % 0.38/0.58 (step @p56 :rule chain_m_resolution :premises (@p55 @p49) :args (@t53 @t59 @t60)) % 0.38/0.58 (step @p57 :rule cnf_or_pos :args (@t63)) % 0.38/0.58 (step @p58 :rule reordering :premises (@p57) :args ((or @t57 @t62 (not @t63)))) % 0.38/0.58 (step @p59 :rule chain_m_resolution :premises (@p58 @p56 @p38) :args (@t62 @t64 (@list @t53 @t63))) % 0.38/0.58 (step @p60 :rule cnf_and_pos :args (@t62 0)) % 0.38/0.58 (step @p61 :rule reordering :premises (@p60) :args ((or @t61 (not @t62)))) % 0.38/0.58 (step @p62 :rule chain_m_resolution :premises (@p61 @p59) :args (@t61 @t65 (@list @t62))) % 0.38/0.58 (step @p63 :rule bool-double-not-elim :args (@t55)) % 0.38/0.58 (step @p64 :rule nary_cong :premises (@p51 @p63) :args ((or @t58 (not @t56)))) % 0.38/0.58 (step @p65 :rule cnf_or_neg :args (@t58 1)) % 0.38/0.58 (step @p66 :rule eq_resolve :premises (@p65 @p64)) % 0.38/0.58 (step @p67 :rule reordering :premises (@p66) :args ((or @t55 @t58))) % 0.38/0.58 (step @p68 :rule chain_m_resolution :premises (@p67 @p49) :args (@t55 @t59 @t60)) % 0.38/0.59 (step @p69 :rule cnf_or_pos :args (@t70)) % 0.38/0.59 (step @p70 :rule reordering :premises (@p69) :args ((or @t56 @t69 @t68 (not @t70)))) % 0.38/0.59 (step @p71 :rule chain_m_resolution :premises (@p70 @p68 @p62 @p34) :args (@t68 (@list false false false) (@list @t55 @t61 @t70))) % 0.38/0.59 (step @p72 :rule instantiate :premises (@p2) :args (@t71)) % 0.38/0.59 (step @p73 :rule eq-symm :args (@t10 @t9)) % 0.38/0.59 (step @p74 :rule cong :premises (@p73) :args (@t15)) % 0.38/0.59 (step @p75 :rule eq_resolve :premises (@p8 @p74)) % 0.38/0.59 (step @p76 :rule eq-symm :args (@t72 @t54)) % 0.38/0.59 (step @p77 :rule refl :args (@t73)) % 0.38/0.59 (step @p78 :rule cong :premises (@p77 @p76) :args ((=> @t73 @t74))) % 0.38/0.59 (assume-push @p124 @t73) % 0.38/0.59 (step @p80 :rule instantiate :premises (@p75) :args (@t71)) % 0.38/0.59 (step-pop @p125 :rule scope :premises (@p80)) % 0.38/0.59 (step @p81 :rule process_scope :premises (@p125) :args (@t74)) % 0.38/0.59 (step @p83 :rule eq_resolve :premises (@p81 @p78)) % 0.38/0.59 (step @p84 :rule implies_elim :premises (@p83)) % 0.38/0.59 (step @p85 :rule chain_m_resolution :premises (@p84 @p75) :args (@t75 @t65 (@list @t73))) % 0.38/0.59 (step @p86 :rule cnf_or_neg :args (@t58 2)) % 0.38/0.59 (step @p87 :rule chain_m_resolution :premises (@p86 @p49) :args ((not @t54) @t59 @t60)) % 0.38/0.59 (step @p88 :rule cnf_equiv_pos2 :args (@t75)) % 0.38/0.59 (step @p89 :rule reordering :premises (@p88) :args ((or @t54 @t76 (not @t75)))) % 0.38/0.59 (step @p90 :rule chain_m_resolution :premises (@p89 @p87 @p85) :args (@t76 @t77 (@list @t54 @t75))) % 0.38/0.59 (step @p91 :rule cnf_equiv_pos2 :args (@t79)) % 0.38/0.59 (step @p92 :rule reordering :premises (@p91) :args ((or @t72 @t80 (not @t79)))) % 0.38/0.59 (step @p93 :rule chain_m_resolution :premises (@p92 @p90 @p72) :args (@t80 @t77 (@list @t72 @t79))) % 0.38/0.59 (step @p94 :rule bool-impl-elim :args (@t36 @t35)) % 0.38/0.59 (step @p95 :rule cong :premises (@p94) :args (@t37)) % 0.38/0.59 (step @p96 :rule eq_resolve :premises (@p14 @p95)) % 0.38/0.59 (step @p97 :rule instantiate :premises (@p96) :args ((@list @t47))) % 0.38/0.59 (step @p98 :rule bool-impl-elim :args (@t6 @t2)) % 0.38/0.59 (step @p99 :rule cong :premises (@p98) :args (@t8)) % 0.38/0.59 (step @p100 :rule eq_resolve :premises (@p1 @p99)) % 0.38/0.59 (step @p101 :rule instantiate :premises (@p100) :args (@t52)) % 0.38/0.59 (step @p102 :rule bool-impl-elim :args (@t10 @t6)) % 0.38/0.59 (step @p103 :rule cong :premises (@p102) :args (@t11)) % 0.38/0.59 (step @p104 :rule eq_resolve :premises (@p4 @p103)) % 0.38/0.59 (step @p105 :rule instantiate :premises (@p104) :args (@t52)) % 0.38/0.59 (step @p106 :rule cnf_or_pos :args (@t82)) % 0.38/0.59 (step @p107 :rule reordering :premises (@p106) :args ((or @t57 @t81 (not @t82)))) % 0.38/0.59 (step @p108 :rule chain_m_resolution :premises (@p107 @p56 @p105) :args (@t81 @t64 (@list @t53 @t82))) % 0.38/0.59 (step @p109 :rule cnf_or_pos :args (@t85)) % 0.38/0.59 (step @p110 :rule reordering :premises (@p109) :args ((or @t83 @t84 (not @t85)))) % 0.38/0.59 (step @p111 :rule chain_m_resolution :premises (@p110 @p108 @p101) :args (@t83 @t64 (@list @t81 @t85))) % 0.38/0.59 (step @p112 :rule cnf_or_pos :args (@t88)) % 0.38/0.59 (step @p113 :rule reordering :premises (@p112) :args ((or @t87 @t86 (not @t88)))) % 0.38/0.59 (step @p114 :rule chain_m_resolution :premises (@p113 @p111 @p97) :args (@t86 @t64 (@list @t83 @t88))) % 0.38/0.59 (step @p115 :rule cnf_or_pos :args (@t91)) % 0.38/0.59 (step @p116 :rule reordering :premises (@p115) :args ((or @t90 @t78 @t89 @t92))) % 0.38/0.59 (step @p117 :rule chain_m_resolution :premises (@p116 @p114 @p93 @p71) :args (@t92 (@list false true false) (@list @t86 @t78 @t68))) % 0.38/0.59 (assume-push @p126 @t93) % 0.38/0.59 (step @p119 :rule instantiate :premises (@p24) :args ((@list @t47 @t67 @t66))) % 0.38/0.59 (step-pop @p127 :rule scope :premises (@p119)) % 0.38/0.59 (step @p120 :rule process_scope :premises (@p127) :args (@t91)) % 0.38/0.59 (step @p122 :rule implies_elim :premises (@p120)) % 0.38/0.59 (step @p123 false :rule chain_m_resolution :premises (@p122 @p117 @p24) :args (false @t77 (@list @t91 @t93))) % 0.38/0.59 ) % 0.38/0.59 % SZS output end Proof % 0.38/0.59 % cvc5 exiting %------------------------------------------------------------------------------