%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU635^2 : 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 : n010.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 08:52:31 AM UTC 2026 % Result : Theorem 0.35s 0.57s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU635^2 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n010.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 17:43:40 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.49 %----Proving TH0 % 0.35/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.35/0.57 % SZS status Theorem % 0.35/0.57 % SZS output start Proof % 0.35/0.57 ( % 0.35/0.57 (declare-sort $$unsorted 0) % 0.35/0.57 (declare-const tptp.emptyset $$unsorted) % 0.35/0.57 (declare-const tptp.subsetI2 Bool) % 0.35/0.57 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.35/0.57 (declare-const tptp.setunionI Bool) % 0.35/0.57 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.setadjoinIL Bool) % 0.35/0.57 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.35/0.57 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (define @t1 () (@var "Xy" $$unsorted)) % 0.35/0.57 (define @t2 () (@var "Xx" $$unsorted)) % 0.35/0.57 (define @t3 () (_ (_ tptp.setadjoin @t2) @t1)) % 0.35/0.57 (define @t4 () (_ tptp.in @t2)) % 0.35/0.57 (define @t5 () (_ @t4 @t3)) % 0.35/0.57 (define @t6 () (forall (@list @t2 @t1) @t5)) % 0.35/0.57 (define @t7 () (= tptp.setadjoinIL @t6)) % 0.35/0.57 (define @t8 () (@var "A" $$unsorted)) % 0.35/0.57 (define @t9 () (_ tptp.setunion @t8)) % 0.35/0.57 (define @t10 () (_ @t4 @t9)) % 0.35/0.57 (define @t11 () (@var "B" $$unsorted)) % 0.35/0.57 (define @t12 () (_ (_ tptp.in @t11) @t8)) % 0.35/0.57 (define @t13 () (=> @t12 @t10)) % 0.35/0.57 (define @t14 () (_ @t4 @t11)) % 0.35/0.57 (define @t15 () (@list @t8 @t2 @t11)) % 0.35/0.57 (define @t16 () (forall @t15 (=> @t14 @t13))) % 0.35/0.57 (define @t17 () (= tptp.setunionI @t16)) % 0.35/0.57 (define @t18 () (_ tptp.subset @t8)) % 0.35/0.57 (define @t19 () (_ @t18 @t11)) % 0.35/0.57 (define @t20 () (_ @t4 @t8)) % 0.35/0.57 (define @t21 () (@list @t2)) % 0.35/0.57 (define @t22 () (forall @t21 (=> @t20 @t14))) % 0.35/0.57 (define @t23 () (=> @t22 @t19)) % 0.35/0.57 (define @t24 () (@list @t8 @t11)) % 0.35/0.57 (define @t25 () (forall @t24 @t23)) % 0.35/0.57 (define @t26 () (= tptp.subsetI2 @t25)) % 0.35/0.57 (define @t27 () (_ (_ tptp.setadjoin @t8) tptp.emptyset)) % 0.35/0.57 (define @t28 () (_ tptp.setunion @t27)) % 0.35/0.57 (define @t29 () (_ @t18 @t28)) % 0.35/0.57 (define @t30 () (@list @t8)) % 0.35/0.57 (define @t31 () (forall @t30 @t29)) % 0.35/0.57 (define @t32 () (=> tptp.subsetI2 @t31)) % 0.35/0.57 (define @t33 () (=> tptp.setunionI @t32)) % 0.35/0.57 (define @t34 () (=> tptp.setadjoinIL @t33)) % 0.35/0.57 (define @t35 () (not @t34)) % 0.35/0.57 (define @t36 () (tptp.setadjoin @t8 tptp.emptyset)) % 0.35/0.57 (define @t37 () (tptp.setunion @t36)) % 0.35/0.57 (define @t38 () (tptp.subset @t8 @t37)) % 0.35/0.57 (define @t39 () (forall @t30 @t38)) % 0.35/0.57 (define @t40 () (tptp.subset @t8 @t11)) % 0.35/0.57 (define @t41 () (tptp.in @t2 @t11)) % 0.35/0.57 (define @t42 () (tptp.in @t2 @t8)) % 0.35/0.57 (define @t43 () (forall @t21 (or (not @t42) @t41))) % 0.35/0.57 (define @t44 () (not @t43)) % 0.35/0.57 (define @t45 () (or @t44 @t19)) % 0.35/0.57 (define @t46 () (not @t20)) % 0.35/0.57 (define @t47 () (or @t46 @t14)) % 0.35/0.57 (define @t48 () (=> tptp.subsetI2 @t39)) % 0.35/0.57 (define @t49 () (tptp.setunion @t8)) % 0.35/0.57 (define @t50 () (tptp.in @t2 @t49)) % 0.35/0.57 (define @t51 () (tptp.in @t11 @t8)) % 0.35/0.57 (define @t52 () (not @t12)) % 0.35/0.57 (define @t53 () (not @t14)) % 0.35/0.57 (define @t54 () (or @t53 @t52 @t10)) % 0.35/0.57 (define @t55 () (=> tptp.setunionI @t48)) % 0.35/0.57 (define @t56 () (tptp.setadjoin @t2 @t1)) % 0.35/0.57 (define @t57 () (tptp.in @t2 @t56)) % 0.35/0.57 (define @t58 () (=> tptp.setadjoinIL @t55)) % 0.35/0.57 (define @t59 () (@quantifiers_skolemize @t39 0)) % 0.35/0.57 (define @t60 () (tptp.setadjoin @t59 tptp.emptyset)) % 0.35/0.57 (define @t61 () (tptp.setunion @t60)) % 0.35/0.57 (define @t62 () (tptp.subset @t59 @t61)) % 0.35/0.57 (define @t63 () (forall @t21 (or (not (tptp.in @t2 @t59)) (tptp.in @t2 @t61)))) % 0.35/0.57 (define @t64 () (not @t63)) % 0.35/0.57 (define @t65 () (or @t64 @t62)) % 0.35/0.57 (define @t66 () (@list true false)) % 0.35/0.57 (define @t67 () (@quantifiers_skolemize @t63 0)) % 0.35/0.57 (define @t68 () (tptp.in @t67 @t61)) % 0.35/0.57 (define @t69 () (tptp.in @t67 @t59)) % 0.35/0.57 (define @t70 () (not @t69)) % 0.35/0.57 (define @t71 () (or @t70 @t68)) % 0.35/0.57 (define @t72 () (@list true)) % 0.35/0.57 (define @t73 () (@list @t71)) % 0.35/0.57 (define @t74 () (tptp.in @t59 @t60)) % 0.35/0.57 (define @t75 () (not @t74)) % 0.35/0.57 (define @t76 () (or @t70 @t75 @t68)) % 0.35/0.57 (define @t77 () (not @t76)) % 0.35/0.57 (define @t78 () (forall @t15 (or (not @t41) (not @t51) @t50))) % 0.35/0.57 (assume @p1 @t7) % 0.35/0.57 (assume @p2 @t17) % 0.35/0.57 (assume @p3 @t26) % 0.35/0.57 (assume @p4 @t35) % 0.35/0.57 (assume @p5 true) % 0.35/0.57 (step @p6 :rule refl :args (@t39)) % 0.35/0.57 (step @p7 :rule refl :args (@t40)) % 0.35/0.57 (step @p8 :rule refl :args (@t19)) % 0.35/0.57 (step @p9 :rule cong :premises (@p8 @p7) :args ((= @t19 @t40))) % 0.35/0.57 (step @p10 :rule symm :premises (@p9)) % 0.35/0.57 (step @p11 :rule eq_resolve :premises (@p8 @p10)) % 0.35/0.57 (step @p12 :rule refl :args (@t44)) % 0.35/0.57 (step @p13 :rule nary_cong :premises (@p12 @p11) :args (@t45)) % 0.35/0.57 (step @p14 :rule cong :premises (@p13) :args ((forall @t24 @t45))) % 0.35/0.57 (step @p15 :rule bool-impl-elim :args (@t43 @t19)) % 0.35/0.57 (step @p16 :rule cong :premises (@p15) :args ((forall @t24 (=> @t43 @t19)))) % 0.35/0.57 (step @p17 :rule trans :premises (@p16 @p14)) % 0.35/0.57 (step @p18 :rule refl :args (@t19)) % 0.35/0.57 (step @p19 :rule refl :args (@t41)) % 0.35/0.57 (step @p20 :rule refl :args (@t14)) % 0.35/0.57 (step @p21 :rule cong :premises (@p20 @p19) :args ((= @t14 @t41))) % 0.35/0.57 (step @p22 :rule symm :premises (@p21)) % 0.35/0.57 (step @p23 :rule eq_resolve :premises (@p20 @p22)) % 0.35/0.57 (step @p24 :rule refl :args (@t42)) % 0.35/0.57 (step @p25 :rule refl :args (@t20)) % 0.35/0.57 (step @p26 :rule cong :premises (@p25 @p24) :args ((= @t20 @t42))) % 0.35/0.57 (step @p27 :rule symm :premises (@p26)) % 0.35/0.57 (step @p28 :rule eq_resolve :premises (@p25 @p27)) % 0.35/0.57 (step @p29 :rule cong :premises (@p28) :args (@t46)) % 0.35/0.57 (step @p30 :rule nary_cong :premises (@p29 @p23) :args (@t47)) % 0.35/0.57 (step @p31 :rule cong :premises (@p30) :args ((forall @t21 @t47))) % 0.35/0.57 (step @p32 :rule bool-impl-elim :args (@t20 @t14)) % 0.35/0.57 (step @p33 :rule cong :premises (@p32) :args (@t22)) % 0.35/0.57 (step @p34 :rule trans :premises (@p33 @p31)) % 0.35/0.57 (step @p35 :rule cong :premises (@p34 @p18) :args (@t23)) % 0.35/0.57 (step @p36 :rule cong :premises (@p35) :args (@t25)) % 0.35/0.57 (step @p37 :rule trans :premises (@p36 @p17)) % 0.35/0.57 (step @p38 :rule refl :args (tptp.subsetI2)) % 0.35/0.57 (step @p39 :rule cong :premises (@p38 @p37) :args (@t26)) % 0.35/0.57 (step @p40 :rule eq_resolve :premises (@p3 @p39)) % 0.35/0.57 (step @p41 :rule cong :premises (@p40 @p6) :args (@t48)) % 0.35/0.57 (step @p42 :rule refl :args ((tptp.in @t2 @t9))) % 0.35/0.57 (step @p43 :rule refl :args (@t49)) % 0.35/0.57 (step @p44 :rule refl :args (@t2)) % 0.35/0.57 (step @p45 :rule cong :premises (@p44 @p43) :args (@t50)) % 0.35/0.57 (step @p46 :rule trans :premises (@p45 @p42)) % 0.35/0.57 (step @p47 :rule refl :args (@t4)) % 0.35/0.57 (step @p48 :rule ho_cong :premises (@p47 @p43)) % 0.35/0.57 (step @p49 :rule cong :premises (@p48 @p46) :args ((= (_ @t4 @t49) @t50))) % 0.35/0.57 (step @p50 :rule symm :premises (@p49)) % 0.35/0.57 (step @p51 :rule refl :args (@t10)) % 0.35/0.57 (step @p52 :rule eq_resolve :premises (@p51 @p50)) % 0.35/0.57 (step @p53 :rule refl :args (@t9)) % 0.35/0.57 (step @p54 :rule cong :premises (@p53 @p43) :args ((= @t9 @t49))) % 0.35/0.57 (step @p55 :rule symm :premises (@p54)) % 0.35/0.57 (step @p56 :rule eq_resolve :premises (@p53 @p55)) % 0.35/0.57 (step @p57 :rule ho_cong :premises (@p47 @p56)) % 0.35/0.57 (step @p58 :rule trans :premises (@p57 @p52)) % 0.35/0.57 (step @p59 :rule refl :args (@t51)) % 0.35/0.57 (step @p60 :rule refl :args (@t12)) % 0.35/0.57 (step @p61 :rule cong :premises (@p60 @p59) :args ((= @t12 @t51))) % 0.35/0.57 (step @p62 :rule symm :premises (@p61)) % 0.35/0.57 (step @p63 :rule eq_resolve :premises (@p60 @p62)) % 0.35/0.57 (step @p64 :rule cong :premises (@p63) :args (@t52)) % 0.35/0.57 (step @p65 :rule cong :premises (@p23) :args (@t53)) % 0.35/0.57 (step @p66 :rule nary_cong :premises (@p65 @p64 @p58) :args (@t54)) % 0.35/0.57 (step @p67 :rule cong :premises (@p66) :args ((forall @t15 @t54))) % 0.35/0.57 (step @p68 :rule aci_norm :args ((= (or @t53 (or @t52 @t10)) @t54))) % 0.35/0.57 (step @p69 :rule bool-impl-elim :args (@t12 @t10)) % 0.35/0.57 (step @p70 :rule refl :args (@t53)) % 0.35/0.57 (step @p71 :rule nary_cong :premises (@p70 @p69) :args ((or @t53 @t13))) % 0.35/0.57 (step @p72 :rule trans :premises (@p71 @p68)) % 0.35/0.57 (step @p73 :rule bool-impl-elim :args (@t14 @t13)) % 0.35/0.57 (step @p74 :rule trans :premises (@p73 @p72)) % 0.35/0.57 (step @p75 :rule cong :premises (@p74) :args (@t16)) % 0.35/0.57 (step @p76 :rule trans :premises (@p75 @p67)) % 0.35/0.57 (step @p77 :rule refl :args (tptp.setunionI)) % 0.35/0.57 (step @p78 :rule cong :premises (@p77 @p76) :args (@t17)) % 0.35/0.57 (step @p79 :rule eq_resolve :premises (@p2 @p78)) % 0.35/0.57 (step @p80 :rule cong :premises (@p79 @p41) :args (@t55)) % 0.35/0.57 (step @p81 :rule refl :args ((tptp.in @t2 @t3))) % 0.35/0.57 (step @p82 :rule refl :args (@t56)) % 0.35/0.57 (step @p83 :rule cong :premises (@p44 @p82) :args (@t57)) % 0.35/0.57 (step @p84 :rule trans :premises (@p83 @p81)) % 0.35/0.57 (step @p85 :rule ho_cong :premises (@p47 @p82)) % 0.35/0.57 (step @p86 :rule cong :premises (@p85 @p84) :args ((= (_ @t4 @t56) @t57))) % 0.35/0.57 (step @p87 :rule symm :premises (@p86)) % 0.35/0.57 (step @p88 :rule refl :args (@t5)) % 0.35/0.57 (step @p89 :rule eq_resolve :premises (@p88 @p87)) % 0.35/0.57 (step @p90 :rule refl :args (@t3)) % 0.35/0.57 (step @p91 :rule cong :premises (@p90 @p82) :args ((= @t3 @t56))) % 0.35/0.57 (step @p92 :rule symm :premises (@p91)) % 0.35/0.57 (step @p93 :rule eq_resolve :premises (@p90 @p92)) % 0.35/0.57 (step @p94 :rule ho_cong :premises (@p47 @p93)) % 0.35/0.57 (step @p95 :rule trans :premises (@p94 @p89)) % 0.35/0.57 (step @p96 :rule cong :premises (@p95) :args (@t6)) % 0.35/0.57 (step @p97 :rule refl :args (tptp.setadjoinIL)) % 0.35/0.57 (step @p98 :rule cong :premises (@p97 @p96) :args (@t7)) % 0.35/0.57 (step @p99 :rule eq_resolve :premises (@p1 @p98)) % 0.35/0.57 (step @p100 :rule cong :premises (@p99 @p80) :args (@t58)) % 0.35/0.57 (step @p101 :rule cong :premises (@p100) :args ((not @t58))) % 0.35/0.57 (step @p102 :rule refl :args ((tptp.subset @t8 @t28))) % 0.35/0.57 (step @p103 :rule refl :args ((tptp.setunion @t27))) % 0.35/0.57 (step @p104 :rule refl :args (@t36)) % 0.35/0.57 (step @p105 :rule cong :premises (@p104) :args (@t37)) % 0.35/0.57 (step @p106 :rule trans :premises (@p105 @p103)) % 0.35/0.57 (step @p107 :rule refl :args (@t8)) % 0.35/0.57 (step @p108 :rule cong :premises (@p107 @p106) :args (@t38)) % 0.35/0.57 (step @p109 :rule trans :premises (@p108 @p102)) % 0.35/0.57 (step @p110 :rule refl :args (@t18)) % 0.35/0.57 (step @p111 :rule ho_cong :premises (@p110 @p106)) % 0.35/0.57 (step @p112 :rule cong :premises (@p111 @p109) :args ((= (_ @t18 @t37) @t38))) % 0.35/0.57 (step @p113 :rule symm :premises (@p112)) % 0.35/0.57 (step @p114 :rule refl :args (@t29)) % 0.35/0.57 (step @p115 :rule eq_resolve :premises (@p114 @p113)) % 0.35/0.57 (step @p116 :rule refl :args (tptp.setunion)) % 0.35/0.57 (step @p117 :rule ho_cong :premises (@p116 @p104)) % 0.35/0.57 (step @p118 :rule cong :premises (@p117 @p106) :args ((= (_ tptp.setunion @t36) @t37))) % 0.35/0.57 (step @p119 :rule symm :premises (@p118)) % 0.35/0.57 (step @p120 :rule refl :args (@t28)) % 0.35/0.57 (step @p121 :rule eq_resolve :premises (@p120 @p119)) % 0.35/0.57 (step @p122 :rule refl :args (@t27)) % 0.35/0.57 (step @p123 :rule cong :premises (@p122 @p104) :args ((= @t27 @t36))) % 0.35/0.57 (step @p124 :rule symm :premises (@p123)) % 0.35/0.57 (step @p125 :rule eq_resolve :premises (@p122 @p124)) % 0.35/0.57 (step @p126 :rule ho_cong :premises (@p116 @p125)) % 0.35/0.57 (step @p127 :rule trans :premises (@p126 @p121)) % 0.35/0.57 (step @p128 :rule ho_cong :premises (@p110 @p127)) % 0.35/0.57 (step @p129 :rule trans :premises (@p128 @p115)) % 0.35/0.57 (step @p130 :rule cong :premises (@p129) :args (@t31)) % 0.35/0.57 (step @p131 :rule cong :premises (@p38 @p130) :args (@t32)) % 0.35/0.57 (step @p132 :rule cong :premises (@p77 @p131) :args (@t33)) % 0.35/0.57 (step @p133 :rule cong :premises (@p97 @p132) :args (@t34)) % 0.35/0.57 (step @p134 :rule cong :premises (@p133) :args (@t35)) % 0.35/0.57 (step @p135 :rule trans :premises (@p134 @p101)) % 0.35/0.57 (step @p136 :rule eq_resolve :premises (@p4 @p135)) % 0.35/0.57 (step @p137 :rule not_implies_elim2 :premises (@p136)) % 0.35/0.57 (step @p138 :rule not_implies_elim1 :premises (@p137)) % 0.35/0.57 (step @p139 :rule not_implies_elim2 :premises (@p137)) % 0.35/0.57 (step @p140 :rule not_implies_elim1 :premises (@p139)) % 0.35/0.57 (step @p141 :rule instantiate :premises (@p140) :args ((@list @t59 @t61))) % 0.35/0.57 (step @p142 :rule not_implies_elim2 :premises (@p139)) % 0.35/0.57 (step @p143 :rule skolemize :premises (@p142)) % 0.35/0.57 (step @p144 :rule cnf_or_pos :args (@t65)) % 0.35/0.57 (step @p145 :rule reordering :premises (@p144) :args ((or @t62 @t64 (not @t65)))) % 0.35/0.57 (step @p146 :rule chain_m_resolution :premises (@p145 @p143 @p141) :args (@t64 @t66 (@list @t62 @t65))) % 0.35/0.57 (step @p147 :rule skolemize :premises (@p146)) % 0.35/0.57 (step @p148 :rule cnf_or_neg :args (@t71 1)) % 0.35/0.57 (step @p149 :rule chain_m_resolution :premises (@p148 @p147) :args ((not @t68) @t72 @t73)) % 0.35/0.57 (step @p150 :rule bool-double-not-elim :args (@t69)) % 0.35/0.57 (step @p151 :rule refl :args (@t71)) % 0.35/0.57 (step @p152 :rule nary_cong :premises (@p151 @p150) :args ((or @t71 (not @t70)))) % 0.35/0.57 (step @p153 :rule cnf_or_neg :args (@t71 0)) % 0.35/0.57 (step @p154 :rule eq_resolve :premises (@p153 @p152)) % 0.35/0.57 (step @p155 :rule reordering :premises (@p154) :args ((or @t69 @t71))) % 0.35/0.57 (step @p156 :rule chain_m_resolution :premises (@p155 @p147) :args (@t69 @t72 @t73)) % 0.35/0.57 (step @p157 :rule not_implies_elim1 :premises (@p136)) % 0.35/0.57 (step @p158 :rule instantiate :premises (@p157) :args ((@list @t59 tptp.emptyset))) % 0.35/0.57 (step @p159 :rule cnf_or_pos :args (@t76)) % 0.35/0.57 (step @p160 :rule reordering :premises (@p159) :args ((or @t75 @t70 @t68 @t77))) % 0.35/0.57 (step @p161 :rule chain_m_resolution :premises (@p160 @p158 @p156 @p149) :args (@t77 (@list false false true) (@list @t74 @t69 @t68))) % 0.35/0.57 (assume-push @p168 @t78) % 0.35/0.57 (step @p163 :rule instantiate :premises (@p138) :args ((@list @t60 @t67 @t59))) % 0.35/0.57 (step-pop @p169 :rule scope :premises (@p163)) % 0.35/0.57 (step @p164 :rule process_scope :premises (@p169) :args (@t76)) % 0.35/0.57 (step @p166 :rule implies_elim :premises (@p164)) % 0.35/0.57 (step @p167 false :rule chain_m_resolution :premises (@p166 @p161 @p138) :args (false @t66 (@list @t76 @t78))) % 0.35/0.57 ) % 0.35/0.57 % SZS output end Proof % 0.35/0.57 % cvc5 exiting %------------------------------------------------------------------------------