%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU504^2 : 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 : 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 08:51:58 AM UTC 2026 % Result : Theorem 0.32s 0.57s % Output : Proof 0.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEU504^2 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n026.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 17:39:55 EDT 2026 % 0.18/0.35 % CPUTime : % 0.32/0.50 %----Proving TH0 % 0.32/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.32/0.57 % SZS status Theorem % 0.32/0.57 % SZS output start Proof % 0.32/0.57 ( % 0.32/0.57 (declare-sort $$unsorted 0) % 0.32/0.57 (declare-const tptp.exuE1 Bool) % 0.32/0.57 (define tptp.exu () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (@var "Xphi" (-> $$unsorted Bool)))) (lambda (@list _let_3) (exists (@list _let_2) (and (_ _let_3 _let_2) (forall (@list _let_1) (=> (_ _let_3 _let_1) (= _let_2 _let_1)))))))))) % 0.32/0.57 (define @t1 () (@var "Xy" $$unsorted)) % 0.32/0.57 (define @t2 () (@var "Xx" $$unsorted)) % 0.32/0.57 (define @t3 () (= @t2 @t1)) % 0.32/0.57 (define @t4 () (@var "Xphi" (-> $$unsorted Bool))) % 0.32/0.57 (define @t5 () (_ @t4 @t1)) % 0.32/0.57 (define @t6 () (@list @t1)) % 0.32/0.57 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.32/0.57 (define @t8 () (_ @t4 @t2)) % 0.32/0.57 (define @t9 () (and @t8 @t7)) % 0.32/0.57 (define @t10 () (@list @t2)) % 0.32/0.57 (define @t11 () (exists @t10 @t9)) % 0.32/0.57 (define @t12 () (lambda @t10 @t8)) % 0.32/0.57 (define @t13 () (_ tptp.exu @t12)) % 0.32/0.57 (define @t14 () (=> @t13 @t11)) % 0.32/0.57 (define @t15 () (@list @t4)) % 0.32/0.57 (define @t16 () (forall @t15 @t14)) % 0.32/0.57 (define @t17 () (= tptp.exuE1 @t16)) % 0.32/0.57 (define @t18 () (exists @t10 @t8)) % 0.32/0.57 (define @t19 () (=> @t13 @t18)) % 0.32/0.57 (define @t20 () (forall @t15 @t19)) % 0.32/0.57 (define @t21 () (=> tptp.exuE1 @t20)) % 0.32/0.57 (define @t22 () (not @t21)) % 0.32/0.57 (define @t23 () (lambda @t15 @t11)) % 0.32/0.57 (define @t24 () (@var "BOUND_VARIABLE_7497" $$unsorted)) % 0.32/0.57 (define @t25 () (_ @t4 @t1)) % 0.32/0.57 (define @t26 () (not @t25)) % 0.32/0.57 (define @t27 () (not (_ @t4 @t24))) % 0.32/0.57 (define @t28 () (_ @t4 @t2)) % 0.32/0.57 (define @t29 () (not @t28)) % 0.32/0.57 (define @t30 () (not (forall @t10 @t29))) % 0.32/0.57 (define @t31 () (@list @t4 @t24)) % 0.32/0.57 (define @t32 () (forall @t31 (or @t30 @t27 (not (forall @t6 (or @t26 (= @t1 @t24))))))) % 0.32/0.57 (define @t33 () (forall @t6 (or @t26 @t3))) % 0.32/0.57 (define @t34 () (not @t33)) % 0.32/0.57 (define @t35 () (forall @t10 (or @t29 @t34))) % 0.32/0.57 (define @t36 () (not @t35)) % 0.32/0.57 (define @t37 () (not @t36)) % 0.32/0.57 (define @t38 () (not @t8)) % 0.32/0.57 (define @t39 () (or @t38 @t34)) % 0.32/0.57 (define @t40 () (and @t8 @t33)) % 0.32/0.57 (define @t41 () (forall @t10 (not @t40))) % 0.32/0.57 (define @t42 () (not @t41)) % 0.32/0.57 (define @t43 () (not @t5)) % 0.32/0.57 (define @t44 () (or @t43 @t3)) % 0.32/0.57 (define @t45 () (_ @t12 @t1)) % 0.32/0.57 (define @t46 () (not @t45)) % 0.32/0.57 (define @t47 () (or @t46 @t3)) % 0.32/0.57 (define @t48 () (forall @t6 @t47)) % 0.32/0.57 (define @t49 () (not @t48)) % 0.32/0.57 (define @t50 () (_ @t12 @t2)) % 0.32/0.57 (define @t51 () (not @t50)) % 0.32/0.57 (define @t52 () (or @t51 @t49)) % 0.32/0.57 (define @t53 () (forall @t10 @t52)) % 0.32/0.57 (define @t54 () (not @t53)) % 0.32/0.57 (define @t55 () (_ (lambda @t15 @t36) @t12)) % 0.32/0.57 (define @t56 () (=> @t55 @t11)) % 0.32/0.57 (define @t57 () (forall @t15 @t56)) % 0.32/0.57 (define @t58 () (=> tptp.exuE1 @t32)) % 0.32/0.57 (define @t59 () (or @t26 (= @t24 @t1))) % 0.32/0.57 (define @t60 () (forall @t6 @t59)) % 0.32/0.57 (define @t61 () (not @t60)) % 0.32/0.57 (define @t62 () (or @t30 @t27 @t61)) % 0.32/0.57 (define @t63 () (or @t27 @t61)) % 0.32/0.57 (define @t64 () (or @t63 @t30)) % 0.32/0.57 (define @t65 () (forall @t31 @t64)) % 0.32/0.57 (define @t66 () (@list @t24)) % 0.32/0.57 (define @t67 () (forall @t66 @t64)) % 0.32/0.57 (define @t68 () (forall @t66 @t63)) % 0.32/0.57 (define @t69 () (or @t68 @t30)) % 0.32/0.57 (define @t70 () (forall @t10 @t38)) % 0.32/0.57 (define @t71 () (not @t70)) % 0.32/0.57 (define @t72 () (=> @t55 @t18)) % 0.32/0.57 (define @t73 () (forall @t15 @t72)) % 0.32/0.57 (define @t74 () (=> tptp.exuE1 @t73)) % 0.32/0.57 (define @t75 () (@quantifiers_skolemize @t32 0)) % 0.32/0.57 (define @t76 () (forall @t10 (not (_ @t75 @t2)))) % 0.32/0.57 (define @t77 () (@quantifiers_skolemize @t32 1)) % 0.32/0.57 (define @t78 () (_ @t75 @t77)) % 0.32/0.57 (define @t79 () (not @t78)) % 0.32/0.57 (define @t80 () (not @t76)) % 0.32/0.57 (define @t81 () (or @t80 @t79 (not (forall @t6 (or (not (_ @t75 @t1)) (= @t1 @t77)))))) % 0.32/0.57 (define @t82 () (@list true)) % 0.32/0.57 (define @t83 () (@list @t81)) % 0.32/0.57 (assume @p1 @t17) % 0.32/0.57 (assume @p2 @t22) % 0.32/0.57 (assume @p3 true) % 0.32/0.57 (step @p4 (= tptp.exu @t23) :rule refl :args (@t23)) % 0.32/0.57 (step @p5 :rule bool-impl-true2 :args (@t32)) % 0.32/0.57 (step @p6 :rule cong :premises (@p5) :args ((not (=> true @t32)))) % 0.32/0.57 (step @p7 :rule refl :args (@t32)) % 0.32/0.57 (step @p8 :rule bool-eq-true :args (tptp.exuE1)) % 0.32/0.57 (step @p9 :rule symm :premises (@p8)) % 0.32/0.57 (step @p10 :rule quant-unused-vars :args ((= (forall @t15 true) true))) % 0.32/0.57 (step @p11 :rule bool-or-taut :args (false @t35 false false)) % 0.32/0.57 (step @p12 :rule refl :args (@t36)) % 0.32/0.57 (step @p13 :rule bool-double-not-elim :args (@t35)) % 0.32/0.57 (step @p14 :rule nary_cong :premises (@p13 @p12) :args ((or @t37 @t36))) % 0.32/0.57 (step @p15 :rule bool-impl-elim :args (@t36 @t36)) % 0.32/0.57 (step @p16 :rule trans :premises (@p15 @p14)) % 0.32/0.57 (step @p17 :rule trans :premises (@p16 @p11)) % 0.32/0.57 (step @p18 :rule cong :premises (@p17) :args ((forall @t15 (=> @t36 @t36)))) % 0.32/0.57 (step @p19 :rule trans :premises (@p18 @p10)) % 0.32/0.57 (step @p20 :rule refl :args (@t34)) % 0.32/0.57 (step @p21 :rule refl :args (@t28)) % 0.32/0.57 (step @p22 :rule refl :args (@t8)) % 0.32/0.57 (step @p23 :rule cong :premises (@p22 @p21) :args ((= @t8 @t28))) % 0.32/0.57 (step @p24 :rule symm :premises (@p23)) % 0.32/0.57 (step @p25 :rule eq_resolve :premises (@p22 @p24)) % 0.32/0.57 (step @p26 :rule cong :premises (@p25) :args (@t38)) % 0.32/0.57 (step @p27 :rule nary_cong :premises (@p26 @p20) :args (@t39)) % 0.32/0.57 (step @p28 :rule cong :premises (@p27) :args ((forall @t10 @t39))) % 0.32/0.57 (step @p29 :rule bool-and-de-morgan :args (@t8 @t33 true)) % 0.32/0.57 (step @p30 :rule cong :premises (@p29) :args (@t41)) % 0.32/0.57 (step @p31 :rule trans :premises (@p30 @p28)) % 0.32/0.57 (step @p32 :rule cong :premises (@p31) :args (@t42)) % 0.32/0.57 (step @p33 :rule exists-elim :args ((= (exists @t10 @t40) @t42))) % 0.32/0.57 (step @p34 :rule trans :premises (@p33 @p32)) % 0.32/0.57 (step @p35 :rule refl :args (@t3)) % 0.32/0.57 (step @p36 :rule refl :args (@t25)) % 0.32/0.57 (step @p37 :rule refl :args (@t5)) % 0.32/0.57 (step @p38 :rule cong :premises (@p37 @p36) :args ((= @t5 @t25))) % 0.32/0.57 (step @p39 :rule symm :premises (@p38)) % 0.32/0.57 (step @p40 :rule eq_resolve :premises (@p37 @p39)) % 0.32/0.57 (step @p41 :rule cong :premises (@p40) :args (@t43)) % 0.32/0.57 (step @p42 :rule nary_cong :premises (@p41 @p35) :args (@t44)) % 0.32/0.57 (step @p43 :rule cong :premises (@p42) :args ((forall @t6 @t44))) % 0.32/0.57 (step @p44 :rule bool-impl-elim :args (@t5 @t3)) % 0.32/0.57 (step @p45 :rule cong :premises (@p44) :args (@t7)) % 0.32/0.57 (step @p46 :rule trans :premises (@p45 @p43)) % 0.32/0.57 (step @p47 :rule refl :args (@t8)) % 0.32/0.57 (step @p48 :rule nary_cong :premises (@p47 @p46) :args (@t9)) % 0.32/0.57 (step @p49 :rule cong :premises (@p48) :args (@t11)) % 0.32/0.57 (step @p50 :rule trans :premises (@p49 @p34)) % 0.32/0.57 (step @p51 :rule refl :args (@t3)) % 0.32/0.57 (step @p52 :rule beta-reduce :args ((= @t45 @t5))) % 0.32/0.57 (step @p53 :rule cong :premises (@p52) :args (@t46)) % 0.32/0.57 (step @p54 :rule nary_cong :premises (@p53 @p51) :args (@t47)) % 0.32/0.57 (step @p55 :rule cong :premises (@p54) :args (@t48)) % 0.32/0.57 (step @p56 :rule trans :premises (@p55 @p43)) % 0.32/0.57 (step @p57 :rule cong :premises (@p56) :args (@t49)) % 0.32/0.57 (step @p58 :rule beta-reduce :args ((= @t50 @t8))) % 0.32/0.57 (step @p59 :rule cong :premises (@p58) :args (@t51)) % 0.32/0.57 (step @p60 :rule nary_cong :premises (@p59 @p57) :args (@t52)) % 0.32/0.57 (step @p61 :rule cong :premises (@p60) :args (@t53)) % 0.32/0.57 (step @p62 :rule trans :premises (@p61 @p28)) % 0.32/0.57 (step @p63 :rule cong :premises (@p62) :args (@t54)) % 0.32/0.57 (step @p64 :rule beta-reduce :args ((= @t55 @t54))) % 0.32/0.57 (step @p65 :rule trans :premises (@p64 @p63)) % 0.32/0.57 (step @p66 :rule cong :premises (@p65 @p50) :args (@t56)) % 0.32/0.57 (step @p67 :rule cong :premises (@p66) :args (@t57)) % 0.32/0.57 (step @p68 :rule trans :premises (@p67 @p19)) % 0.32/0.57 (step @p69 :rule refl :args (tptp.exuE1)) % 0.32/0.57 (step @p70 :rule cong :premises (@p69 @p68) :args ((= tptp.exuE1 @t57))) % 0.32/0.57 (step @p71 :rule trans :premises (@p70 @p8)) % 0.32/0.57 (step @p72 :rule refl :args (@t11)) % 0.32/0.57 (step @p73 :rule refl :args (@t12)) % 0.32/0.57 (step @p74 :rule cong :premises (@p50) :args (@t23)) % 0.32/0.57 (step @p75 :rule trans :premises (@p4 @p74)) % 0.32/0.57 (step @p76 :rule ho_cong :premises (@p75 @p73)) % 0.32/0.57 (step @p77 :rule cong :premises (@p76 @p72) :args (@t14)) % 0.32/0.57 (step @p78 :rule cong :premises (@p77) :args (@t16)) % 0.32/0.57 (step @p79 :rule cong :premises (@p69 @p78) :args (@t17)) % 0.32/0.57 (step @p80 :rule trans :premises (@p79 @p71)) % 0.32/0.57 (step @p81 :rule eq_resolve :premises (@p1 @p80)) % 0.32/0.57 (step @p82 :rule eq_resolve :premises (@p81 @p9)) % 0.32/0.57 (step @p83 :rule cong :premises (@p82 @p7) :args (@t58)) % 0.32/0.57 (step @p84 :rule cong :premises (@p83) :args ((not @t58))) % 0.32/0.57 (step @p85 :rule trans :premises (@p84 @p6)) % 0.32/0.57 (step @p86 :rule eq-symm :args (@t24 @t1)) % 0.32/0.57 (step @p87 :rule refl :args (@t26)) % 0.32/0.57 (step @p88 :rule nary_cong :premises (@p87 @p86) :args (@t59)) % 0.32/0.57 (step @p89 :rule cong :premises (@p88) :args (@t60)) % 0.32/0.57 (step @p90 :rule cong :premises (@p89) :args (@t61)) % 0.32/0.57 (step @p91 :rule refl :args (@t27)) % 0.32/0.57 (step @p92 :rule refl :args (@t30)) % 0.32/0.57 (step @p93 :rule nary_cong :premises (@p92 @p91 @p90) :args (@t62)) % 0.32/0.57 (step @p94 :rule aci_norm :args ((= @t64 @t62))) % 0.32/0.57 (step @p95 :rule trans :premises (@p94 @p93)) % 0.32/0.57 (step @p96 :rule cong :premises (@p95) :args (@t65)) % 0.32/0.57 (step @p97 :rule quant-merge-prenex :args ((= (forall @t15 @t67) @t65))) % 0.32/0.57 (step @p98 :rule refl :args (@t30)) % 0.32/0.57 (step @p99 :rule alpha_equiv :args (@t68 (@list @t24) (@list @t2))) % 0.32/0.57 (step @p100 :rule nary_cong :premises (@p99 @p98) :args (@t69)) % 0.32/0.57 (step @p101 :rule quant-miniscope-or :args ((= @t67 @t69))) % 0.32/0.57 (step @p102 :rule trans :premises (@p101 @p100)) % 0.32/0.57 (step @p103 :rule symm :premises (@p102)) % 0.32/0.57 (step @p104 :rule cong :premises (@p103) :args ((forall @t15 (or @t35 @t30)))) % 0.32/0.57 (step @p105 :rule trans :premises (@p104 @p97)) % 0.32/0.57 (step @p106 :rule trans :premises (@p105 @p96)) % 0.32/0.57 (step @p107 :rule nary_cong :premises (@p13 @p98) :args ((or @t37 @t30))) % 0.32/0.57 (step @p108 :rule bool-impl-elim :args (@t36 @t30)) % 0.32/0.57 (step @p109 :rule trans :premises (@p108 @p107)) % 0.32/0.57 (step @p110 :rule cong :premises (@p109) :args ((forall @t15 (=> @t36 @t30)))) % 0.32/0.57 (step @p111 :rule trans :premises (@p110 @p106)) % 0.32/0.57 (step @p112 :rule cong :premises (@p26) :args (@t70)) % 0.32/0.57 (step @p113 :rule cong :premises (@p112) :args (@t71)) % 0.32/0.57 (step @p114 :rule exists-elim :args ((= @t18 @t71))) % 0.32/0.57 (step @p115 :rule trans :premises (@p114 @p113)) % 0.32/0.57 (step @p116 :rule cong :premises (@p65 @p115) :args (@t72)) % 0.32/0.57 (step @p117 :rule cong :premises (@p116) :args (@t73)) % 0.32/0.57 (step @p118 :rule trans :premises (@p117 @p111)) % 0.32/0.57 (step @p119 :rule cong :premises (@p69 @p118) :args (@t74)) % 0.32/0.57 (step @p120 :rule cong :premises (@p119) :args ((not @t74))) % 0.32/0.57 (step @p121 :rule refl :args (@t18)) % 0.32/0.57 (step @p122 :rule cong :premises (@p76 @p121) :args (@t19)) % 0.32/0.57 (step @p123 :rule cong :premises (@p122) :args (@t20)) % 0.32/0.57 (step @p124 :rule cong :premises (@p69 @p123) :args (@t21)) % 0.32/0.57 (step @p125 :rule cong :premises (@p124) :args (@t22)) % 0.32/0.57 (step @p126 :rule trans :premises (@p125 @p120)) % 0.32/0.57 (step @p127 :rule trans :premises (@p126 @p85)) % 0.32/0.57 (step @p128 :rule eq_resolve :premises (@p2 @p127)) % 0.32/0.57 (step @p129 :rule skolemize :premises (@p128)) % 0.32/0.57 (step @p130 :rule bool-double-not-elim :args (@t76)) % 0.32/0.57 (step @p131 :rule refl :args (@t81)) % 0.32/0.57 (step @p132 :rule nary_cong :premises (@p131 @p130) :args ((or @t81 (not @t80)))) % 0.32/0.57 (step @p133 :rule cnf_or_neg :args (@t81 0)) % 0.32/0.57 (step @p134 :rule eq_resolve :premises (@p133 @p132)) % 0.32/0.57 (step @p135 :rule reordering :premises (@p134) :args ((or @t76 @t81))) % 0.32/0.57 (step @p136 :rule chain_m_resolution :premises (@p135 @p129) :args (@t76 @t82 @t83)) % 0.32/0.57 (step @p137 :rule bool-double-not-elim :args (@t78)) % 0.32/0.57 (step @p138 :rule nary_cong :premises (@p131 @p137) :args ((or @t81 (not @t79)))) % 0.32/0.57 (step @p139 :rule cnf_or_neg :args (@t81 1)) % 0.32/0.57 (step @p140 :rule eq_resolve :premises (@p139 @p138)) % 0.32/0.57 (step @p141 :rule reordering :premises (@p140) :args ((or @t78 @t81))) % 0.32/0.57 (step @p142 :rule chain_m_resolution :premises (@p141 @p129) :args (@t78 @t82 @t83)) % 0.32/0.57 (assume-push @p149 @t76) % 0.32/0.57 (step @p144 :rule instantiate :premises (@p136) :args ((@list @t77))) % 0.32/0.57 (step-pop @p150 :rule scope :premises (@p144)) % 0.32/0.57 (step @p145 :rule process_scope :premises (@p150) :args (@t79)) % 0.32/0.57 (step @p147 :rule implies_elim :premises (@p145)) % 0.32/0.57 (step @p148 false :rule chain_m_resolution :premises (@p147 @p142 @p136) :args (false (@list false false) (@list @t78 @t76))) % 0.32/0.57 ) % 0.32/0.57 % SZS output end Proof % 0.32/0.57 % cvc5 exiting %------------------------------------------------------------------------------