%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU596^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n025.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 08:52:21 AM UTC 2026 % Result : Theorem 0.51s 0.78s % Output : Proof 0.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU596^2 : TPTP v9.2.1. Released v3.7.0. % 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 : n025.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 17:42:46 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TH0 % 0.51/0.78 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.51/0.78 % SZS status Theorem % 0.51/0.78 % SZS output start Proof % 0.51/0.78 ( % 0.51/0.78 (declare-sort $$unsorted 0) % 0.51/0.78 (declare-const tptp.binintersectER Bool) % 0.51/0.78 (declare-const tptp.binintersectEL Bool) % 0.51/0.78 (declare-const tptp.binintersect (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.78 (declare-const tptp.emptyI Bool) % 0.51/0.78 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.51/0.78 (declare-const tptp.emptyset $$unsorted) % 0.51/0.78 (define @t1 () (@var "A" $$unsorted)) % 0.51/0.78 (define @t2 () (@var "Xx" $$unsorted)) % 0.51/0.78 (define @t3 () (_ tptp.in @t2)) % 0.51/0.78 (define @t4 () (_ @t3 @t1)) % 0.51/0.78 (define @t5 () (not @t4)) % 0.51/0.78 (define @t6 () (@list @t2)) % 0.51/0.78 (define @t7 () (forall @t6 @t5)) % 0.51/0.78 (define @t8 () (=> @t7 (= @t1 tptp.emptyset))) % 0.51/0.78 (define @t9 () (@list @t1)) % 0.51/0.78 (define @t10 () (forall @t9 @t8)) % 0.51/0.78 (define @t11 () (= tptp.emptyI @t10)) % 0.51/0.78 (define @t12 () (@var "B" $$unsorted)) % 0.51/0.78 (define @t13 () (_ (_ tptp.binintersect @t1) @t12)) % 0.51/0.78 (define @t14 () (_ @t3 @t13)) % 0.51/0.78 (define @t15 () (@list @t1 @t12 @t2)) % 0.51/0.78 (define @t16 () (forall @t15 (=> @t14 @t4))) % 0.51/0.78 (define @t17 () (= tptp.binintersectEL @t16)) % 0.51/0.78 (define @t18 () (_ @t3 @t12)) % 0.51/0.78 (define @t19 () (forall @t15 (=> @t14 @t18))) % 0.51/0.78 (define @t20 () (= tptp.binintersectER @t19)) % 0.51/0.78 (define @t21 () (and @t4 @t18)) % 0.51/0.78 (define @t22 () (exists @t6 @t21)) % 0.51/0.78 (define @t23 () (not @t22)) % 0.51/0.78 (define @t24 () (=> @t23 (= @t13 tptp.emptyset))) % 0.51/0.78 (define @t25 () (@list @t1 @t12)) % 0.51/0.78 (define @t26 () (forall @t25 @t24)) % 0.51/0.78 (define @t27 () (=> tptp.binintersectER @t26)) % 0.51/0.78 (define @t28 () (=> tptp.binintersectEL @t27)) % 0.51/0.78 (define @t29 () (=> tptp.emptyI @t28)) % 0.51/0.78 (define @t30 () (not @t29)) % 0.51/0.78 (define @t31 () (tptp.binintersect @t1 @t12)) % 0.51/0.78 (define @t32 () (tptp.in @t2 @t12)) % 0.51/0.78 (define @t33 () (tptp.in @t2 @t1)) % 0.51/0.78 (define @t34 () (not @t33)) % 0.51/0.78 (define @t35 () (forall @t6 (or @t34 (not @t32)))) % 0.51/0.78 (define @t36 () (not @t35)) % 0.51/0.78 (define @t37 () (forall @t25 (or @t36 (= tptp.emptyset @t31)))) % 0.51/0.78 (define @t38 () (tptp.in @t2 @t31)) % 0.51/0.78 (define @t39 () (not @t14)) % 0.51/0.78 (define @t40 () (or @t39 @t18)) % 0.51/0.78 (define @t41 () (=> tptp.binintersectER @t37)) % 0.51/0.78 (define @t42 () (or @t39 @t4)) % 0.51/0.78 (define @t43 () (=> tptp.binintersectEL @t41)) % 0.51/0.78 (define @t44 () (forall @t6 @t34)) % 0.51/0.78 (define @t45 () (= tptp.emptyset @t1)) % 0.51/0.78 (define @t46 () (=> tptp.emptyI @t43)) % 0.51/0.78 (define @t47 () (= tptp.emptyset @t13)) % 0.51/0.78 (define @t48 () (or @t36 @t47)) % 0.51/0.78 (define @t49 () (not @t18)) % 0.51/0.78 (define @t50 () (or @t5 @t49)) % 0.51/0.78 (define @t51 () (forall @t6 (not @t21))) % 0.51/0.78 (define @t52 () (not @t51)) % 0.51/0.78 (define @t53 () (@quantifiers_skolemize @t37 1)) % 0.51/0.78 (define @t54 () (@quantifiers_skolemize @t37 0)) % 0.51/0.78 (define @t55 () (forall @t6 (or (not (tptp.in @t2 @t54)) (not (tptp.in @t2 @t53))))) % 0.51/0.78 (define @t56 () (tptp.binintersect @t54 @t53)) % 0.51/0.78 (define @t57 () (= tptp.emptyset @t56)) % 0.51/0.78 (define @t58 () (not @t55)) % 0.51/0.78 (define @t59 () (or @t58 @t57)) % 0.51/0.78 (define @t60 () (@list true)) % 0.51/0.78 (define @t61 () (@list @t59)) % 0.51/0.78 (define @t62 () (forall @t6 (not (tptp.in @t2 @t56)))) % 0.51/0.78 (define @t63 () (@quantifiers_skolemize @t62 0)) % 0.51/0.78 (define @t64 () (@list @t54 @t53 @t63)) % 0.51/0.78 (define @t65 () (not @t62)) % 0.51/0.78 (define @t66 () (or @t65 @t57)) % 0.51/0.78 (define @t67 () (@list true false)) % 0.51/0.78 (define @t68 () (tptp.in @t63 @t56)) % 0.51/0.78 (define @t69 () (not @t68)) % 0.51/0.78 (define @t70 () (not @t69)) % 0.51/0.78 (define @t71 () (tptp.in @t63 @t53)) % 0.51/0.78 (define @t72 () (or @t69 @t71)) % 0.51/0.78 (define @t73 () (@list false false)) % 0.51/0.78 (define @t74 () (tptp.in @t63 @t54)) % 0.51/0.78 (define @t75 () (or @t69 @t74)) % 0.51/0.78 (define @t76 () (not @t71)) % 0.51/0.78 (define @t77 () (not @t74)) % 0.51/0.78 (define @t78 () (or @t77 @t76)) % 0.51/0.78 (define @t79 () (not @t78)) % 0.51/0.78 (assume @p1 @t11) % 0.51/0.78 (assume @p2 @t17) % 0.51/0.78 (assume @p3 @t20) % 0.51/0.78 (assume @p4 @t30) % 0.51/0.78 (assume @p5 true) % 0.51/0.78 (step @p6 :rule refl :args (@t37)) % 0.51/0.78 (step @p7 :rule refl :args (@t32)) % 0.51/0.78 (step @p8 :rule refl :args (@t18)) % 0.51/0.78 (step @p9 :rule cong :premises (@p8 @p7) :args ((= @t18 @t32))) % 0.51/0.78 (step @p10 :rule symm :premises (@p9)) % 0.51/0.78 (step @p11 :rule eq_resolve :premises (@p8 @p10)) % 0.51/0.78 (step @p12 :rule refl :args ((tptp.in @t2 @t13))) % 0.51/0.78 (step @p13 :rule refl :args (@t31)) % 0.51/0.78 (step @p14 :rule refl :args (@t2)) % 0.51/0.78 (step @p15 :rule cong :premises (@p14 @p13) :args (@t38)) % 0.51/0.78 (step @p16 :rule trans :premises (@p15 @p12)) % 0.51/0.78 (step @p17 :rule refl :args (@t3)) % 0.51/0.78 (step @p18 :rule ho_cong :premises (@p17 @p13)) % 0.51/0.78 (step @p19 :rule cong :premises (@p18 @p16) :args ((= (_ @t3 @t31) @t38))) % 0.51/0.78 (step @p20 :rule symm :premises (@p19)) % 0.51/0.78 (step @p21 :rule refl :args (@t14)) % 0.51/0.78 (step @p22 :rule eq_resolve :premises (@p21 @p20)) % 0.51/0.78 (step @p23 :rule refl :args (@t13)) % 0.51/0.78 (step @p24 :rule cong :premises (@p23 @p13) :args ((= @t13 @t31))) % 0.51/0.78 (step @p25 :rule symm :premises (@p24)) % 0.51/0.78 (step @p26 :rule eq_resolve :premises (@p23 @p25)) % 0.51/0.78 (step @p27 :rule ho_cong :premises (@p17 @p26)) % 0.51/0.78 (step @p28 :rule trans :premises (@p27 @p22)) % 0.51/0.78 (step @p29 :rule cong :premises (@p28) :args (@t39)) % 0.51/0.78 (step @p30 :rule nary_cong :premises (@p29 @p11) :args (@t40)) % 0.51/0.78 (step @p31 :rule cong :premises (@p30) :args ((forall @t15 @t40))) % 0.51/0.78 (step @p32 :rule bool-impl-elim :args (@t14 @t18)) % 0.51/0.78 (step @p33 :rule cong :premises (@p32) :args (@t19)) % 0.51/0.78 (step @p34 :rule trans :premises (@p33 @p31)) % 0.51/0.78 (step @p35 :rule refl :args (tptp.binintersectER)) % 0.51/0.78 (step @p36 :rule cong :premises (@p35 @p34) :args (@t20)) % 0.51/0.78 (step @p37 :rule eq_resolve :premises (@p3 @p36)) % 0.51/0.78 (step @p38 :rule cong :premises (@p37 @p6) :args (@t41)) % 0.51/0.78 (step @p39 :rule refl :args (@t33)) % 0.51/0.78 (step @p40 :rule refl :args (@t4)) % 0.51/0.78 (step @p41 :rule cong :premises (@p40 @p39) :args ((= @t4 @t33))) % 0.51/0.78 (step @p42 :rule symm :premises (@p41)) % 0.51/0.78 (step @p43 :rule eq_resolve :premises (@p40 @p42)) % 0.51/0.78 (step @p44 :rule nary_cong :premises (@p29 @p43) :args (@t42)) % 0.51/0.78 (step @p45 :rule cong :premises (@p44) :args ((forall @t15 @t42))) % 0.51/0.78 (step @p46 :rule bool-impl-elim :args (@t14 @t4)) % 0.51/0.78 (step @p47 :rule cong :premises (@p46) :args (@t16)) % 0.51/0.78 (step @p48 :rule trans :premises (@p47 @p45)) % 0.51/0.78 (step @p49 :rule refl :args (tptp.binintersectEL)) % 0.51/0.78 (step @p50 :rule cong :premises (@p49 @p48) :args (@t17)) % 0.51/0.78 (step @p51 :rule eq_resolve :premises (@p2 @p50)) % 0.51/0.78 (step @p52 :rule cong :premises (@p51 @p38) :args (@t43)) % 0.51/0.78 (step @p53 :rule bool-impl-elim :args (@t44 @t45)) % 0.51/0.78 (step @p54 :rule cong :premises (@p53) :args ((forall @t9 (=> @t44 @t45)))) % 0.51/0.78 (step @p55 :rule eq-symm :args (@t1 tptp.emptyset)) % 0.51/0.78 (step @p56 :rule cong :premises (@p43) :args (@t5)) % 0.51/0.78 (step @p57 :rule cong :premises (@p56) :args (@t7)) % 0.51/0.78 (step @p58 :rule cong :premises (@p57 @p55) :args (@t8)) % 0.51/0.78 (step @p59 :rule cong :premises (@p58) :args (@t10)) % 0.51/0.78 (step @p60 :rule trans :premises (@p59 @p54)) % 0.51/0.78 (step @p61 :rule refl :args (tptp.emptyI)) % 0.51/0.78 (step @p62 :rule cong :premises (@p61 @p60) :args (@t11)) % 0.51/0.78 (step @p63 :rule eq_resolve :premises (@p1 @p62)) % 0.51/0.78 (step @p64 :rule cong :premises (@p63 @p52) :args (@t46)) % 0.51/0.78 (step @p65 :rule cong :premises (@p64) :args ((not @t46))) % 0.51/0.78 (step @p66 :rule refl :args (tptp.emptyset)) % 0.51/0.78 (step @p67 :rule cong :premises (@p66 @p26) :args (@t47)) % 0.51/0.78 (step @p68 :rule refl :args (@t36)) % 0.51/0.78 (step @p69 :rule nary_cong :premises (@p68 @p67) :args (@t48)) % 0.51/0.78 (step @p70 :rule cong :premises (@p69) :args ((forall @t25 @t48))) % 0.51/0.78 (step @p71 :rule bool-impl-elim :args (@t35 @t47)) % 0.51/0.78 (step @p72 :rule cong :premises (@p71) :args ((forall @t25 (=> @t35 @t47)))) % 0.51/0.78 (step @p73 :rule trans :premises (@p72 @p70)) % 0.51/0.78 (step @p74 :rule eq-symm :args (@t13 tptp.emptyset)) % 0.51/0.78 (step @p75 :rule bool-double-not-elim :args (@t35)) % 0.51/0.78 (step @p76 :rule cong :premises (@p11) :args (@t49)) % 0.51/0.78 (step @p77 :rule nary_cong :premises (@p56 @p76) :args (@t50)) % 0.51/0.78 (step @p78 :rule cong :premises (@p77) :args ((forall @t6 @t50))) % 0.51/0.78 (step @p79 :rule bool-and-de-morgan :args (@t4 @t18 true)) % 0.51/0.78 (step @p80 :rule cong :premises (@p79) :args (@t51)) % 0.51/0.78 (step @p81 :rule trans :premises (@p80 @p78)) % 0.51/0.78 (step @p82 :rule cong :premises (@p81) :args (@t52)) % 0.51/0.78 (step @p83 :rule exists-elim :args ((= @t22 @t52))) % 0.51/0.78 (step @p84 :rule trans :premises (@p83 @p82)) % 0.51/0.78 (step @p85 :rule cong :premises (@p84) :args (@t23)) % 0.51/0.78 (step @p86 :rule trans :premises (@p85 @p75)) % 0.51/0.78 (step @p87 :rule cong :premises (@p86 @p74) :args (@t24)) % 0.51/0.78 (step @p88 :rule cong :premises (@p87) :args (@t26)) % 0.51/0.78 (step @p89 :rule trans :premises (@p88 @p73)) % 0.51/0.78 (step @p90 :rule cong :premises (@p35 @p89) :args (@t27)) % 0.51/0.78 (step @p91 :rule cong :premises (@p49 @p90) :args (@t28)) % 0.51/0.78 (step @p92 :rule cong :premises (@p61 @p91) :args (@t29)) % 0.51/0.78 (step @p93 :rule cong :premises (@p92) :args (@t30)) % 0.51/0.78 (step @p94 :rule trans :premises (@p93 @p65)) % 0.51/0.78 (step @p95 :rule eq_resolve :premises (@p4 @p94)) % 0.51/0.79 (step @p96 :rule not_implies_elim2 :premises (@p95)) % 0.51/0.79 (step @p97 :rule not_implies_elim2 :premises (@p96)) % 0.51/0.79 (step @p98 :rule not_implies_elim2 :premises (@p97)) % 0.51/0.79 (step @p99 :rule skolemize :premises (@p98)) % 0.51/0.79 (step @p100 :rule bool-double-not-elim :args (@t55)) % 0.51/0.79 (step @p101 :rule refl :args (@t59)) % 0.51/0.79 (step @p102 :rule nary_cong :premises (@p101 @p100) :args ((or @t59 (not @t58)))) % 0.51/0.79 (step @p103 :rule cnf_or_neg :args (@t59 0)) % 0.51/0.79 (step @p104 :rule eq_resolve :premises (@p103 @p102)) % 0.51/0.79 (step @p105 :rule reordering :premises (@p104) :args ((or @t55 @t59))) % 0.51/0.79 (step @p106 :rule chain_m_resolution :premises (@p105 @p99) :args (@t55 @t60 @t61)) % 0.51/0.79 (step @p107 :rule not_implies_elim1 :premises (@p97)) % 0.51/0.79 (step @p108 :rule instantiate :premises (@p107) :args (@t64)) % 0.51/0.79 (step @p109 :rule not_implies_elim1 :premises (@p95)) % 0.51/0.79 (step @p110 :rule instantiate :premises (@p109) :args ((@list @t56))) % 0.51/0.79 (step @p111 :rule cnf_or_neg :args (@t59 1)) % 0.51/0.79 (step @p112 :rule chain_m_resolution :premises (@p111 @p99) :args ((not @t57) @t60 @t61)) % 0.51/0.79 (step @p113 :rule cnf_or_pos :args (@t66)) % 0.51/0.79 (step @p114 :rule reordering :premises (@p113) :args ((or @t57 @t65 (not @t66)))) % 0.51/0.79 (step @p115 :rule chain_m_resolution :premises (@p114 @p112 @p110) :args (@t65 @t67 (@list @t57 @t66))) % 0.51/0.79 (step @p116 :rule refl :args (@t68)) % 0.51/0.79 (step @p117 :rule bool-double-not-elim :args (@t62)) % 0.51/0.79 (step @p118 :rule nary_cong :premises (@p117 @p116) :args ((or (not @t65) @t68))) % 0.51/0.79 (step @p119 :rule bool-double-not-elim :args (@t68)) % 0.51/0.79 (step @p120 :rule refl :args (@t65)) % 0.51/0.79 (step @p121 :rule cong :premises (@p120 @p119) :args ((=> @t65 @t70))) % 0.51/0.79 (assume-push @p147 @t65) % 0.51/0.79 (step @p123 :rule skolemize :premises (@p115)) % 0.51/0.79 (step-pop @p148 :rule scope :premises (@p123)) % 0.51/0.79 (step @p124 :rule process_scope :premises (@p148) :args (@t70)) % 0.51/0.79 (step @p126 :rule eq_resolve :premises (@p124 @p121)) % 0.51/0.79 (step @p127 :rule implies_elim :premises (@p126)) % 0.51/0.79 (step @p128 :rule eq_resolve :premises (@p127 @p118)) % 0.51/0.79 (step @p129 :rule chain_m_resolution :premises (@p128 @p115) :args (@t68 @t60 (@list @t62))) % 0.51/0.79 (step @p130 :rule cnf_or_pos :args (@t72)) % 0.51/0.79 (step @p131 :rule reordering :premises (@p130) :args ((or @t69 @t71 (not @t72)))) % 0.51/0.79 (step @p132 :rule chain_m_resolution :premises (@p131 @p129 @p108) :args (@t71 @t73 (@list @t68 @t72))) % 0.51/0.79 (step @p133 :rule not_implies_elim1 :premises (@p96)) % 0.51/0.79 (step @p134 :rule instantiate :premises (@p133) :args (@t64)) % 0.51/0.79 (step @p135 :rule cnf_or_pos :args (@t75)) % 0.51/0.79 (step @p136 :rule reordering :premises (@p135) :args ((or @t69 @t74 (not @t75)))) % 0.51/0.79 (step @p137 :rule chain_m_resolution :premises (@p136 @p129 @p134) :args (@t74 @t73 (@list @t68 @t75))) % 0.51/0.79 (step @p138 :rule cnf_or_pos :args (@t78)) % 0.51/0.79 (step @p139 :rule reordering :premises (@p138) :args ((or @t77 @t76 @t79))) % 0.51/0.79 (step @p140 :rule chain_m_resolution :premises (@p139 @p137 @p132) :args (@t79 @t73 (@list @t74 @t71))) % 0.51/0.79 (assume-push @p149 @t55) % 0.51/0.79 (step @p142 :rule instantiate :premises (@p106) :args ((@list @t63))) % 0.51/0.79 (step-pop @p150 :rule scope :premises (@p142)) % 0.51/0.79 (step @p143 :rule process_scope :premises (@p150) :args (@t78)) % 0.51/0.79 (step @p145 :rule implies_elim :premises (@p143)) % 0.51/0.79 (step @p146 false :rule chain_m_resolution :premises (@p145 @p140 @p106) :args (false @t67 (@list @t78 @t55))) % 0.51/0.79 ) % 0.51/0.79 % SZS output end Proof % 0.51/0.79 % cvc5 exiting %------------------------------------------------------------------------------