%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU506^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 08:51:59 AM UTC 2026 % Result : Theorem 0.38s 0.60s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU506^2 : TPTP v9.2.1. Released v3.7.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n013.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 17:39:30 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TH0 % 0.38/0.60 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.60 % SZS status Theorem % 0.38/0.60 % SZS output start Proof % 0.38/0.60 ( % 0.38/0.60 (declare-sort $$unsorted 0) % 0.38/0.60 (declare-const tptp.setext Bool) % 0.38/0.60 (declare-const tptp.emptysetE Bool) % 0.38/0.60 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.emptyset $$unsorted) % 0.38/0.60 (define @t1 () (@var "Xphi" Bool)) % 0.38/0.60 (define @t2 () (@list @t1)) % 0.38/0.60 (define @t3 () (forall @t2 @t1)) % 0.38/0.60 (define @t4 () (@var "Xx" $$unsorted)) % 0.38/0.60 (define @t5 () (_ tptp.in @t4)) % 0.38/0.60 (define @t6 () (_ @t5 tptp.emptyset)) % 0.38/0.60 (define @t7 () (=> @t6 @t3)) % 0.38/0.60 (define @t8 () (@list @t4)) % 0.38/0.60 (define @t9 () (forall @t8 @t7)) % 0.38/0.60 (define @t10 () (= tptp.emptysetE @t9)) % 0.38/0.60 (define @t11 () (@var "B" $$unsorted)) % 0.38/0.60 (define @t12 () (@var "A" $$unsorted)) % 0.38/0.60 (define @t13 () (= @t12 @t11)) % 0.38/0.60 (define @t14 () (_ @t5 @t12)) % 0.38/0.60 (define @t15 () (_ @t5 @t11)) % 0.38/0.60 (define @t16 () (forall @t8 (=> @t15 @t14))) % 0.38/0.60 (define @t17 () (=> @t16 @t13)) % 0.38/0.60 (define @t18 () (forall @t8 (=> @t14 @t15))) % 0.38/0.60 (define @t19 () (=> @t18 @t17)) % 0.38/0.60 (define @t20 () (@list @t12 @t11)) % 0.38/0.60 (define @t21 () (forall @t20 @t19)) % 0.38/0.60 (define @t22 () (= tptp.setext @t21)) % 0.38/0.60 (define @t23 () (not @t14)) % 0.38/0.60 (define @t24 () (forall @t8 @t23)) % 0.38/0.60 (define @t25 () (=> @t24 (= @t12 tptp.emptyset))) % 0.38/0.60 (define @t26 () (@list @t12)) % 0.38/0.60 (define @t27 () (forall @t26 @t25)) % 0.38/0.60 (define @t28 () (=> tptp.setext @t27)) % 0.38/0.60 (define @t29 () (=> tptp.emptysetE @t28)) % 0.38/0.60 (define @t30 () (not @t29)) % 0.38/0.60 (define @t31 () (= tptp.emptyset @t12)) % 0.38/0.60 (define @t32 () (tptp.in @t4 @t12)) % 0.38/0.60 (define @t33 () (not @t32)) % 0.38/0.60 (define @t34 () (forall @t8 @t33)) % 0.38/0.60 (define @t35 () (forall @t26 (or (not @t34) @t31))) % 0.38/0.60 (define @t36 () (tptp.in @t4 @t11)) % 0.38/0.60 (define @t37 () (forall @t8 (or (not @t36) @t32))) % 0.38/0.60 (define @t38 () (not @t37)) % 0.38/0.60 (define @t39 () (forall @t8 (or @t33 @t36))) % 0.38/0.60 (define @t40 () (not @t39)) % 0.38/0.60 (define @t41 () (or @t40 @t38 @t13)) % 0.38/0.60 (define @t42 () (=> @t37 @t13)) % 0.38/0.60 (define @t43 () (not @t15)) % 0.38/0.60 (define @t44 () (or @t43 @t14)) % 0.38/0.60 (define @t45 () (or @t23 @t15)) % 0.38/0.60 (define @t46 () (=> tptp.setext @t35)) % 0.38/0.60 (define @t47 () (tptp.in @t4 tptp.emptyset)) % 0.38/0.60 (define @t48 () (not @t6)) % 0.38/0.60 (define @t49 () (or @t1 @t1)) % 0.38/0.60 (define @t50 () (=> tptp.emptysetE @t46)) % 0.38/0.60 (define @t51 () (@quantifiers_skolemize @t35 0)) % 0.38/0.60 (define @t52 () (tptp.in @t4 @t51)) % 0.38/0.60 (define @t53 () (not @t47)) % 0.38/0.60 (define @t54 () (forall @t8 (or @t53 @t52))) % 0.38/0.60 (define @t55 () (not @t54)) % 0.38/0.60 (define @t56 () (not @t52)) % 0.38/0.60 (define @t57 () (forall @t8 (or @t56 @t47))) % 0.38/0.60 (define @t58 () (not @t57)) % 0.38/0.60 (define @t59 () (or @t58 @t55 (= @t51 tptp.emptyset))) % 0.38/0.60 (define @t60 () (forall @t20 @t41)) % 0.38/0.60 (define @t61 () (= tptp.emptyset @t51)) % 0.38/0.60 (define @t62 () (or @t58 @t55 @t61)) % 0.38/0.60 (define @t63 () (@list false)) % 0.38/0.60 (define @t64 () (forall @t8 @t56)) % 0.38/0.60 (define @t65 () (not @t64)) % 0.38/0.60 (define @t66 () (or @t65 @t61)) % 0.38/0.60 (define @t67 () (@list true)) % 0.38/0.60 (define @t68 () (@list @t66)) % 0.38/0.60 (define @t69 () (@quantifiers_skolemize @t57 0)) % 0.38/0.60 (define @t70 () (tptp.in @t69 @t51)) % 0.38/0.60 (define @t71 () (not @t70)) % 0.38/0.60 (define @t72 () (or @t71 (tptp.in @t69 tptp.emptyset))) % 0.38/0.60 (define @t73 () (not @t72)) % 0.38/0.60 (define @t74 () (@quantifiers_skolemize @t54 0)) % 0.38/0.60 (define @t75 () (tptp.in @t74 tptp.emptyset)) % 0.38/0.60 (define @t76 () (not @t75)) % 0.38/0.60 (define @t77 () (or @t76 (tptp.in @t74 @t51))) % 0.38/0.60 (define @t78 () (not @t77)) % 0.38/0.60 (define @t79 () (forall @t8 @t53)) % 0.38/0.60 (assume @p1 @t10) % 0.38/0.60 (assume @p2 @t22) % 0.38/0.60 (assume @p3 @t30) % 0.38/0.60 (assume @p4 true) % 0.38/0.60 (step @p5 :rule refl :args (@t35)) % 0.38/0.60 (step @p6 :rule aci_norm :args ((= (or @t40 (or @t38 @t13)) @t41))) % 0.38/0.60 (step @p7 :rule bool-impl-elim :args (@t37 @t13)) % 0.38/0.60 (step @p8 :rule refl :args (@t40)) % 0.38/0.60 (step @p9 :rule nary_cong :premises (@p8 @p7) :args ((or @t40 @t42))) % 0.38/0.60 (step @p10 :rule trans :premises (@p9 @p6)) % 0.38/0.60 (step @p11 :rule bool-impl-elim :args (@t39 @t42)) % 0.38/0.60 (step @p12 :rule trans :premises (@p11 @p10)) % 0.38/0.60 (step @p13 :rule cong :premises (@p12) :args ((forall @t20 (=> @t39 @t42)))) % 0.38/0.60 (step @p14 :rule refl :args (@t13)) % 0.38/0.60 (step @p15 :rule refl :args (@t32)) % 0.38/0.60 (step @p16 :rule refl :args (@t14)) % 0.38/0.60 (step @p17 :rule cong :premises (@p16 @p15) :args ((= @t14 @t32))) % 0.38/0.60 (step @p18 :rule symm :premises (@p17)) % 0.38/0.60 (step @p19 :rule eq_resolve :premises (@p16 @p18)) % 0.38/0.60 (step @p20 :rule refl :args (@t36)) % 0.38/0.60 (step @p21 :rule refl :args (@t15)) % 0.38/0.60 (step @p22 :rule cong :premises (@p21 @p20) :args ((= @t15 @t36))) % 0.38/0.60 (step @p23 :rule symm :premises (@p22)) % 0.38/0.60 (step @p24 :rule eq_resolve :premises (@p21 @p23)) % 0.38/0.60 (step @p25 :rule cong :premises (@p24) :args (@t43)) % 0.38/0.60 (step @p26 :rule nary_cong :premises (@p25 @p19) :args (@t44)) % 0.38/0.60 (step @p27 :rule cong :premises (@p26) :args ((forall @t8 @t44))) % 0.38/0.60 (step @p28 :rule bool-impl-elim :args (@t15 @t14)) % 0.38/0.60 (step @p29 :rule cong :premises (@p28) :args (@t16)) % 0.38/0.60 (step @p30 :rule trans :premises (@p29 @p27)) % 0.38/0.60 (step @p31 :rule cong :premises (@p30 @p14) :args (@t17)) % 0.38/0.60 (step @p32 :rule cong :premises (@p19) :args (@t23)) % 0.38/0.60 (step @p33 :rule nary_cong :premises (@p32 @p24) :args (@t45)) % 0.38/0.60 (step @p34 :rule cong :premises (@p33) :args ((forall @t8 @t45))) % 0.38/0.60 (step @p35 :rule bool-impl-elim :args (@t14 @t15)) % 0.38/0.60 (step @p36 :rule cong :premises (@p35) :args (@t18)) % 0.38/0.60 (step @p37 :rule trans :premises (@p36 @p34)) % 0.38/0.60 (step @p38 :rule cong :premises (@p37 @p31) :args (@t19)) % 0.38/0.60 (step @p39 :rule cong :premises (@p38) :args (@t21)) % 0.38/0.60 (step @p40 :rule trans :premises (@p39 @p13)) % 0.38/0.60 (step @p41 :rule refl :args (tptp.setext)) % 0.38/0.60 (step @p42 :rule cong :premises (@p41 @p40) :args (@t22)) % 0.38/0.60 (step @p43 :rule eq_resolve :premises (@p2 @p42)) % 0.38/0.60 (step @p44 :rule cong :premises (@p43 @p5) :args (@t46)) % 0.38/0.60 (step @p45 :rule refl :args (@t47)) % 0.38/0.60 (step @p46 :rule refl :args (@t6)) % 0.38/0.60 (step @p47 :rule cong :premises (@p46 @p45) :args ((= @t6 @t47))) % 0.38/0.60 (step @p48 :rule symm :premises (@p47)) % 0.38/0.60 (step @p49 :rule eq_resolve :premises (@p46 @p48)) % 0.38/0.60 (step @p50 :rule cong :premises (@p49) :args (@t48)) % 0.38/0.60 (step @p51 :rule cong :premises (@p50) :args ((forall @t8 @t48))) % 0.38/0.60 (step @p52 :rule bool-impl-false1 :args (@t6)) % 0.38/0.60 (step @p53 :rule quant-var-elim-eq :args ((= (forall @t2 (or (not (= @t1 false)) @t1)) false))) % 0.38/0.60 (step @p54 :rule refl :args (@t1)) % 0.38/0.60 (step @p55 :rule bool-eq-false :args (@t1)) % 0.38/0.60 (step @p56 :rule symm :premises (@p55)) % 0.38/0.60 (step @p57 :rule cong :premises (@p56) :args ((not (not @t1)))) % 0.38/0.60 (step @p58 :rule bool-double-not-elim :args (@t1)) % 0.38/0.60 (step @p59 :rule symm :premises (@p58)) % 0.38/0.60 (step @p60 :rule trans :premises (@p59 @p57)) % 0.38/0.60 (step @p61 :rule nary_cong :premises (@p60 @p54) :args (@t49)) % 0.38/0.60 (step @p62 :rule aci_norm :args ((= @t1 @t49))) % 0.38/0.60 (step @p63 :rule trans :premises (@p62 @p61)) % 0.38/0.60 (step @p64 :rule cong :premises (@p63) :args (@t3)) % 0.38/0.60 (step @p65 :rule trans :premises (@p64 @p53)) % 0.38/0.60 (step @p66 :rule refl :args (@t6)) % 0.38/0.60 (step @p67 :rule cong :premises (@p66 @p65) :args (@t7)) % 0.38/0.60 (step @p68 :rule trans :premises (@p67 @p52)) % 0.38/0.60 (step @p69 :rule cong :premises (@p68) :args (@t9)) % 0.38/0.60 (step @p70 :rule trans :premises (@p69 @p51)) % 0.38/0.60 (step @p71 :rule refl :args (tptp.emptysetE)) % 0.38/0.60 (step @p72 :rule cong :premises (@p71 @p70) :args (@t10)) % 0.38/0.60 (step @p73 :rule eq_resolve :premises (@p1 @p72)) % 0.38/0.60 (step @p74 :rule cong :premises (@p73 @p44) :args (@t50)) % 0.38/0.60 (step @p75 :rule cong :premises (@p74) :args ((not @t50))) % 0.38/0.60 (step @p76 :rule bool-impl-elim :args (@t34 @t31)) % 0.38/0.60 (step @p77 :rule cong :premises (@p76) :args ((forall @t26 (=> @t34 @t31)))) % 0.38/0.60 (step @p78 :rule eq-symm :args (@t12 tptp.emptyset)) % 0.38/0.60 (step @p79 :rule cong :premises (@p32) :args (@t24)) % 0.38/0.60 (step @p80 :rule cong :premises (@p79 @p78) :args (@t25)) % 0.38/0.60 (step @p81 :rule cong :premises (@p80) :args (@t27)) % 0.38/0.60 (step @p82 :rule trans :premises (@p81 @p77)) % 0.38/0.60 (step @p83 :rule cong :premises (@p41 @p82) :args (@t28)) % 0.38/0.60 (step @p84 :rule cong :premises (@p71 @p83) :args (@t29)) % 0.38/0.60 (step @p85 :rule cong :premises (@p84) :args (@t30)) % 0.38/0.60 (step @p86 :rule trans :premises (@p85 @p75)) % 0.38/0.60 (step @p87 :rule eq_resolve :premises (@p3 @p86)) % 0.38/0.60 (step @p88 :rule not_implies_elim1 :premises (@p87)) % 0.38/0.60 (step @p89 :rule not_implies_elim2 :premises (@p87)) % 0.38/0.60 (step @p90 :rule not_implies_elim1 :premises (@p89)) % 0.38/0.60 (step @p91 :rule eq-symm :args (@t51 tptp.emptyset)) % 0.38/0.60 (step @p92 :rule refl :args (@t55)) % 0.38/0.60 (step @p93 :rule refl :args (@t58)) % 0.38/0.60 (step @p94 :rule nary_cong :premises (@p93 @p92 @p91) :args (@t59)) % 0.38/0.60 (step @p95 :rule refl :args (@t60)) % 0.38/0.60 (step @p96 :rule cong :premises (@p95 @p94) :args ((=> @t60 @t59))) % 0.38/0.60 (assume-push @p159 @t60) % 0.38/0.60 (step @p98 :rule instantiate :premises (@p90) :args ((@list @t51 tptp.emptyset))) % 0.38/0.60 (step-pop @p160 :rule scope :premises (@p98)) % 0.38/0.60 (step @p99 :rule process_scope :premises (@p160) :args (@t59)) % 0.38/0.60 (step @p101 :rule eq_resolve :premises (@p99 @p96)) % 0.38/0.60 (step @p102 :rule implies_elim :premises (@p101)) % 0.38/0.60 (step @p103 :rule chain_m_resolution :premises (@p102 @p90) :args (@t62 @t63 (@list @t60))) % 0.38/0.60 (step @p104 :rule not_implies_elim2 :premises (@p89)) % 0.38/0.60 (step @p105 :rule skolemize :premises (@p104)) % 0.38/0.60 (step @p106 :rule bool-double-not-elim :args (@t64)) % 0.38/0.60 (step @p107 :rule refl :args (@t66)) % 0.38/0.60 (step @p108 :rule nary_cong :premises (@p107 @p106) :args ((or @t66 (not @t65)))) % 0.38/0.60 (step @p109 :rule cnf_or_neg :args (@t66 0)) % 0.38/0.60 (step @p110 :rule eq_resolve :premises (@p109 @p108)) % 0.38/0.60 (step @p111 :rule reordering :premises (@p110) :args ((or @t64 @t66))) % 0.38/0.60 (step @p112 :rule chain_m_resolution :premises (@p111 @p105) :args (@t64 @t67 @t68)) % 0.38/0.60 (step @p113 :rule instantiate :premises (@p112) :args ((@list @t69))) % 0.38/0.60 (step @p114 :rule bool-double-not-elim :args (@t70)) % 0.38/0.60 (step @p115 :rule refl :args (@t72)) % 0.38/0.60 (step @p116 :rule nary_cong :premises (@p115 @p114) :args ((or @t72 (not @t71)))) % 0.38/0.61 (step @p117 :rule cnf_or_neg :args (@t72 0)) % 0.38/0.61 (step @p118 :rule eq_resolve :premises (@p117 @p116)) % 0.38/0.61 (step @p119 :rule reordering :premises (@p118) :args ((or @t70 @t72))) % 0.38/0.61 (step @p120 :rule chain_m_resolution :premises (@p119 @p113) :args (@t72 @t67 (@list @t70))) % 0.38/0.61 (step @p121 :rule refl :args (@t73)) % 0.38/0.61 (step @p122 :rule bool-double-not-elim :args (@t57)) % 0.38/0.61 (step @p123 :rule nary_cong :premises (@p122 @p121) :args ((or (not @t58) @t73))) % 0.38/0.61 (assume-push @p161 @t58) % 0.38/0.61 (step @p125 :rule skolemize :premises (@p161)) % 0.38/0.61 (step-pop @p162 :rule scope :premises (@p125)) % 0.38/0.61 (step @p126 :rule process_scope :premises (@p162) :args (@t73)) % 0.38/0.61 (step @p128 :rule implies_elim :premises (@p126)) % 0.38/0.61 (step @p129 :rule eq_resolve :premises (@p128 @p123)) % 0.38/0.61 (step @p130 :rule chain_m_resolution :premises (@p129 @p120) :args (@t57 @t63 (@list @t72))) % 0.38/0.61 (step @p131 :rule cnf_or_neg :args (@t66 1)) % 0.38/0.61 (step @p132 :rule chain_m_resolution :premises (@p131 @p105) :args ((not @t61) @t67 @t68)) % 0.38/0.61 (step @p133 :rule cnf_or_pos :args (@t62)) % 0.38/0.61 (step @p134 :rule reordering :premises (@p133) :args ((or @t61 @t58 @t55 (not @t62)))) % 0.38/0.61 (step @p135 :rule chain_m_resolution :premises (@p134 @p132 @p130 @p103) :args (@t55 (@list true false false) (@list @t61 @t57 @t62))) % 0.38/0.61 (step @p136 :rule refl :args (@t78)) % 0.38/0.61 (step @p137 :rule bool-double-not-elim :args (@t54)) % 0.38/0.61 (step @p138 :rule nary_cong :premises (@p137 @p136) :args ((or (not @t55) @t78))) % 0.38/0.61 (assume-push @p163 @t55) % 0.38/0.61 (step @p140 :rule skolemize :premises (@p163)) % 0.38/0.61 (step-pop @p164 :rule scope :premises (@p140)) % 0.38/0.61 (step @p141 :rule process_scope :premises (@p164) :args (@t78)) % 0.38/0.61 (step @p143 :rule implies_elim :premises (@p141)) % 0.38/0.61 (step @p144 :rule eq_resolve :premises (@p143 @p138)) % 0.38/0.61 (step @p145 :rule chain_m_resolution :premises (@p144 @p135) :args (@t78 @t67 (@list @t54))) % 0.38/0.61 (step @p146 :rule bool-double-not-elim :args (@t75)) % 0.38/0.61 (step @p147 :rule refl :args (@t77)) % 0.38/0.61 (step @p148 :rule nary_cong :premises (@p147 @p146) :args ((or @t77 (not @t76)))) % 0.38/0.61 (step @p149 :rule cnf_or_neg :args (@t77 0)) % 0.38/0.61 (step @p150 :rule eq_resolve :premises (@p149 @p148)) % 0.38/0.61 (step @p151 :rule reordering :premises (@p150) :args ((or @t75 @t77))) % 0.38/0.61 (step @p152 :rule chain_m_resolution :premises (@p151 @p145) :args (@t75 @t67 (@list @t77))) % 0.38/0.61 (assume-push @p165 @t79) % 0.38/0.61 (step @p154 :rule instantiate :premises (@p88) :args ((@list @t74))) % 0.38/0.61 (step-pop @p166 :rule scope :premises (@p154)) % 0.38/0.61 (step @p155 :rule process_scope :premises (@p166) :args (@t76)) % 0.38/0.61 (step @p157 :rule implies_elim :premises (@p155)) % 0.38/0.61 (step @p158 false :rule chain_m_resolution :premises (@p157 @p152 @p88) :args (false (@list false false) (@list @t75 @t79))) % 0.38/0.61 ) % 0.38/0.61 % SZS output end Proof % 0.38/0.61 % cvc5 exiting %------------------------------------------------------------------------------