%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU886^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n023.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 08:53:28 AM UTC 2026 % Result : Theorem 0.31s 0.57s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU886^5 : TPTP v9.2.1. Released v4.0.0. % 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 : n023.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 17:58:28 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TH0 % 0.31/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.31/0.57 % SZS status Theorem % 0.31/0.57 % SZS output start Proof % 0.31/0.57 ( % 0.31/0.57 (declare-sort tptp.b 0) % 0.31/0.57 (declare-sort tptp.a 0) % 0.31/0.57 (declare-const tptp.x (-> tptp.b Bool)) % 0.31/0.57 (declare-const tptp.y (-> tptp.b Bool)) % 0.31/0.57 (declare-const tptp.f (-> tptp.b tptp.a)) % 0.31/0.57 (define @t1 () (@var "Xt" tptp.b)) % 0.31/0.57 (define @t2 () (_ tptp.f @t1)) % 0.31/0.57 (define @t3 () (@var "Xx0" tptp.a)) % 0.31/0.57 (define @t4 () (= @t3 @t2)) % 0.31/0.57 (define @t5 () (_ tptp.y @t1)) % 0.31/0.57 (define @t6 () (and @t5 @t4)) % 0.31/0.57 (define @t7 () (@list @t1)) % 0.31/0.57 (define @t8 () (exists @t7 @t6)) % 0.31/0.57 (define @t9 () (_ tptp.x @t1)) % 0.31/0.57 (define @t10 () (and @t9 @t4)) % 0.31/0.57 (define @t11 () (exists @t7 @t10)) % 0.31/0.57 (define @t12 () (and @t11 @t8)) % 0.31/0.57 (define @t13 () (and @t9 @t5 @t4)) % 0.31/0.57 (define @t14 () (exists @t7 @t13)) % 0.31/0.57 (define @t15 () (=> @t14 @t12)) % 0.31/0.57 (define @t16 () (@list @t3)) % 0.31/0.57 (define @t17 () (forall @t16 @t15)) % 0.31/0.57 (define @t18 () (not @t17)) % 0.31/0.57 (define @t19 () (@var "BOUND_VARIABLE_7470" tptp.b)) % 0.31/0.57 (define @t20 () (not (tptp.y @t19))) % 0.31/0.57 (define @t21 () (not (tptp.x @t19))) % 0.31/0.57 (define @t22 () (tptp.f @t19)) % 0.31/0.57 (define @t23 () (tptp.f @t1)) % 0.31/0.57 (define @t24 () (not (= @t23 @t22))) % 0.31/0.57 (define @t25 () (tptp.y @t1)) % 0.31/0.57 (define @t26 () (not @t25)) % 0.31/0.57 (define @t27 () (tptp.x @t1)) % 0.31/0.57 (define @t28 () (not @t27)) % 0.31/0.57 (define @t29 () (and (not (forall @t7 (or @t28 @t24))) (not (forall @t7 (or @t26 @t24))))) % 0.31/0.57 (define @t30 () (or @t29 @t21 @t20)) % 0.31/0.57 (define @t31 () (not (= @t22 @t22))) % 0.31/0.57 (define @t32 () (not (= @t22 @t23))) % 0.31/0.57 (define @t33 () (or @t26 @t32)) % 0.31/0.57 (define @t34 () (forall @t7 @t33)) % 0.31/0.57 (define @t35 () (not @t34)) % 0.31/0.57 (define @t36 () (or @t28 @t32)) % 0.31/0.57 (define @t37 () (forall @t7 @t36)) % 0.31/0.57 (define @t38 () (not @t37)) % 0.31/0.57 (define @t39 () (and @t38 @t35)) % 0.31/0.57 (define @t40 () (or @t39 @t21 @t20 @t31)) % 0.31/0.57 (define @t41 () (@list @t19)) % 0.31/0.57 (define @t42 () (not (= @t3 @t22))) % 0.31/0.57 (define @t43 () (not (= @t3 @t23))) % 0.31/0.57 (define @t44 () (and (not (forall @t7 (or @t28 @t43))) (not (forall @t7 (or @t26 @t43))))) % 0.31/0.57 (define @t45 () (or @t42 @t44 @t21 @t20 @t42)) % 0.31/0.57 (define @t46 () (or @t44 @t21 @t20 @t42)) % 0.31/0.57 (define @t47 () (forall @t16 @t46)) % 0.31/0.57 (define @t48 () (forall @t41 @t47)) % 0.31/0.57 (define @t49 () (forall (@list @t19 @t3) @t46)) % 0.31/0.57 (define @t50 () (@list @t3 @t19)) % 0.31/0.57 (define @t51 () (or @t21 @t20 @t42)) % 0.31/0.57 (define @t52 () (or @t51 @t44)) % 0.31/0.57 (define @t53 () (forall @t50 @t52)) % 0.31/0.57 (define @t54 () (forall @t41 @t52)) % 0.31/0.57 (define @t55 () (forall @t41 @t51)) % 0.31/0.57 (define @t56 () (or @t55 @t44)) % 0.31/0.57 (define @t57 () (forall @t7 (or @t28 @t26 @t43))) % 0.31/0.57 (define @t58 () (not @t57)) % 0.31/0.57 (define @t59 () (not @t4)) % 0.31/0.57 (define @t60 () (not @t5)) % 0.31/0.57 (define @t61 () (or @t60 @t59)) % 0.31/0.57 (define @t62 () (not @t6)) % 0.31/0.57 (define @t63 () (forall @t7 @t62)) % 0.31/0.57 (define @t64 () (not @t63)) % 0.31/0.57 (define @t65 () (not @t9)) % 0.31/0.57 (define @t66 () (or @t65 @t59)) % 0.31/0.57 (define @t67 () (forall @t7 (not @t10))) % 0.31/0.57 (define @t68 () (not @t67)) % 0.31/0.57 (define @t69 () (or @t65 @t60 @t59)) % 0.31/0.57 (define @t70 () (forall @t7 (not @t13))) % 0.31/0.57 (define @t71 () (not @t70)) % 0.31/0.57 (define @t72 () (@quantifiers_skolemize (forall @t41 @t30) 0)) % 0.31/0.57 (define @t73 () (tptp.y @t72)) % 0.31/0.57 (define @t74 () (not @t73)) % 0.31/0.57 (define @t75 () (tptp.x @t72)) % 0.31/0.57 (define @t76 () (not @t75)) % 0.31/0.57 (define @t77 () (tptp.f @t72)) % 0.31/0.57 (define @t78 () (not (= @t23 @t77))) % 0.31/0.57 (define @t79 () (forall @t7 (or @t26 @t78))) % 0.31/0.57 (define @t80 () (not @t79)) % 0.31/0.57 (define @t81 () (forall @t7 (or @t28 @t78))) % 0.31/0.57 (define @t82 () (not @t81)) % 0.31/0.57 (define @t83 () (and @t82 @t80)) % 0.31/0.57 (define @t84 () (or @t83 @t76 @t74)) % 0.31/0.57 (define @t85 () (@list true)) % 0.31/0.57 (define @t86 () (@list @t84)) % 0.31/0.57 (define @t87 () (not (= @t77 @t77))) % 0.31/0.57 (define @t88 () (or @t76 @t87)) % 0.31/0.57 (define @t89 () (@list @t72)) % 0.31/0.57 (define @t90 () (or @t74 @t87)) % 0.31/0.57 (assume @p1 @t18) % 0.31/0.57 (assume @p2 true) % 0.31/0.57 (step @p3 :rule aci_norm :args ((= (or @t29 @t21 @t20 false) @t30))) % 0.31/0.57 (step @p4 :rule evaluate :args ((not true))) % 0.31/0.57 (step @p5 :rule eq-refl :args (@t22)) % 0.31/0.57 (step @p6 :rule cong :premises (@p5) :args (@t31)) % 0.31/0.57 (step @p7 :rule trans :premises (@p6 @p4)) % 0.31/0.57 (step @p8 :rule refl :args (@t20)) % 0.31/0.57 (step @p9 :rule refl :args (@t21)) % 0.31/0.57 (step @p10 :rule eq-symm :args (@t22 @t23)) % 0.31/0.57 (step @p11 :rule cong :premises (@p10) :args (@t32)) % 0.31/0.57 (step @p12 :rule refl :args (@t26)) % 0.31/0.57 (step @p13 :rule nary_cong :premises (@p12 @p11) :args (@t33)) % 0.31/0.57 (step @p14 :rule cong :premises (@p13) :args (@t34)) % 0.31/0.57 (step @p15 :rule cong :premises (@p14) :args (@t35)) % 0.31/0.57 (step @p16 :rule refl :args (@t28)) % 0.31/0.57 (step @p17 :rule nary_cong :premises (@p16 @p11) :args (@t36)) % 0.31/0.57 (step @p18 :rule cong :premises (@p17) :args (@t37)) % 0.31/0.57 (step @p19 :rule cong :premises (@p18) :args (@t38)) % 0.31/0.57 (step @p20 :rule nary_cong :premises (@p19 @p15) :args (@t39)) % 0.31/0.57 (step @p21 :rule nary_cong :premises (@p20 @p9 @p8 @p7) :args (@t40)) % 0.31/0.57 (step @p22 :rule trans :premises (@p21 @p3)) % 0.31/0.57 (step @p23 :rule cong :premises (@p22) :args ((forall @t41 @t40))) % 0.31/0.57 (step @p24 :rule quant-var-elim-eq :args ((= (forall @t16 @t45) @t40))) % 0.31/0.57 (step @p25 :rule aci_norm :args ((= @t46 @t45))) % 0.31/0.57 (step @p26 :rule cong :premises (@p25) :args (@t47)) % 0.31/0.57 (step @p27 :rule trans :premises (@p26 @p24)) % 0.31/0.57 (step @p28 :rule cong :premises (@p27) :args (@t48)) % 0.31/0.57 (step @p29 :rule quant-merge-prenex :args ((= @t48 @t49))) % 0.31/0.57 (step @p30 :rule symm :premises (@p29)) % 0.31/0.57 (step @p31 :rule quant_var_reordering :args ((= (forall @t50 @t46) @t49))) % 0.31/0.57 (step @p32 :rule trans :premises (@p31 @p30 @p28)) % 0.31/0.57 (step @p33 :rule trans :premises (@p32 @p23)) % 0.31/0.57 (step @p34 :rule aci_norm :args ((= @t52 @t46))) % 0.31/0.57 (step @p35 :rule cong :premises (@p34) :args (@t53)) % 0.31/0.57 (step @p36 :rule trans :premises (@p35 @p33)) % 0.31/0.57 (step @p37 :rule quant-merge-prenex :args ((= (forall @t16 @t54) @t53))) % 0.31/0.57 (step @p38 :rule refl :args (@t44)) % 0.31/0.57 (step @p39 :rule alpha_equiv :args (@t55 (@list @t19) (@list @t1))) % 0.31/0.57 (step @p40 :rule nary_cong :premises (@p39 @p38) :args (@t56)) % 0.31/0.57 (step @p41 :rule quant-miniscope-or :args ((= @t54 @t56))) % 0.31/0.57 (step @p42 :rule trans :premises (@p41 @p40)) % 0.31/0.57 (step @p43 :rule symm :premises (@p42)) % 0.31/0.57 (step @p44 :rule cong :premises (@p43) :args ((forall @t16 (or @t57 @t44)))) % 0.31/0.57 (step @p45 :rule trans :premises (@p44 @p37)) % 0.31/0.57 (step @p46 :rule trans :premises (@p45 @p36)) % 0.31/0.57 (step @p47 :rule bool-double-not-elim :args (@t57)) % 0.31/0.57 (step @p48 :rule nary_cong :premises (@p47 @p38) :args ((or (not @t58) @t44))) % 0.31/0.57 (step @p49 :rule bool-impl-elim :args (@t58 @t44)) % 0.31/0.57 (step @p50 :rule trans :premises (@p49 @p48)) % 0.31/0.57 (step @p51 :rule cong :premises (@p50) :args ((forall @t16 (=> @t58 @t44)))) % 0.31/0.57 (step @p52 :rule trans :premises (@p51 @p46)) % 0.31/0.57 (step @p53 :rule refl :args (@t23)) % 0.31/0.57 (step @p54 :rule refl :args (@t2)) % 0.31/0.57 (step @p55 :rule cong :premises (@p54 @p53) :args ((= @t2 @t23))) % 0.31/0.57 (step @p56 :rule symm :premises (@p55)) % 0.31/0.57 (step @p57 :rule eq_resolve :premises (@p54 @p56)) % 0.31/0.57 (step @p58 :rule refl :args (@t3)) % 0.31/0.57 (step @p59 :rule cong :premises (@p58 @p57) :args (@t4)) % 0.31/0.57 (step @p60 :rule cong :premises (@p59) :args (@t59)) % 0.31/0.57 (step @p61 :rule refl :args (@t25)) % 0.31/0.57 (step @p62 :rule refl :args (@t5)) % 0.31/0.57 (step @p63 :rule cong :premises (@p62 @p61) :args ((= @t5 @t25))) % 0.31/0.57 (step @p64 :rule symm :premises (@p63)) % 0.31/0.57 (step @p65 :rule eq_resolve :premises (@p62 @p64)) % 0.31/0.57 (step @p66 :rule cong :premises (@p65) :args (@t60)) % 0.31/0.57 (step @p67 :rule nary_cong :premises (@p66 @p60) :args (@t61)) % 0.31/0.57 (step @p68 :rule cong :premises (@p67) :args ((forall @t7 @t61))) % 0.31/0.57 (step @p69 :rule bool-and-de-morgan :args (@t5 @t4 true)) % 0.31/0.57 (step @p70 :rule cong :premises (@p69) :args (@t63)) % 0.31/0.57 (step @p71 :rule trans :premises (@p70 @p68)) % 0.31/0.57 (step @p72 :rule cong :premises (@p71) :args (@t64)) % 0.31/0.57 (step @p73 :rule exists-elim :args ((= @t8 @t64))) % 0.31/0.57 (step @p74 :rule trans :premises (@p73 @p72)) % 0.31/0.57 (step @p75 :rule refl :args (@t27)) % 0.31/0.57 (step @p76 :rule refl :args (@t9)) % 0.31/0.57 (step @p77 :rule cong :premises (@p76 @p75) :args ((= @t9 @t27))) % 0.31/0.57 (step @p78 :rule symm :premises (@p77)) % 0.31/0.57 (step @p79 :rule eq_resolve :premises (@p76 @p78)) % 0.31/0.57 (step @p80 :rule cong :premises (@p79) :args (@t65)) % 0.31/0.57 (step @p81 :rule nary_cong :premises (@p80 @p60) :args (@t66)) % 0.31/0.57 (step @p82 :rule cong :premises (@p81) :args ((forall @t7 @t66))) % 0.31/0.57 (step @p83 :rule bool-and-de-morgan :args (@t9 @t4 true)) % 0.31/0.57 (step @p84 :rule cong :premises (@p83) :args (@t67)) % 0.31/0.57 (step @p85 :rule trans :premises (@p84 @p82)) % 0.31/0.57 (step @p86 :rule cong :premises (@p85) :args (@t68)) % 0.31/0.57 (step @p87 :rule exists-elim :args ((= @t11 @t68))) % 0.31/0.57 (step @p88 :rule trans :premises (@p87 @p86)) % 0.31/0.57 (step @p89 :rule nary_cong :premises (@p88 @p74) :args (@t12)) % 0.31/0.57 (step @p90 :rule nary_cong :premises (@p80 @p66 @p60) :args (@t69)) % 0.31/0.57 (step @p91 :rule cong :premises (@p90) :args ((forall @t7 @t69))) % 0.31/0.57 (step @p92 :rule aci_norm :args ((= (or @t65 @t61) @t69))) % 0.31/0.57 (step @p93 :rule refl :args (@t65)) % 0.31/0.57 (step @p94 :rule nary_cong :premises (@p93 @p69) :args ((or @t65 @t62))) % 0.31/0.57 (step @p95 :rule bool-and-de-morgan :args (@t9 @t5 (and @t4))) % 0.31/0.57 (step @p96 :rule trans :premises (@p95 @p94)) % 0.31/0.57 (step @p97 :rule trans :premises (@p96 @p92)) % 0.31/0.57 (step @p98 :rule cong :premises (@p97) :args (@t70)) % 0.31/0.57 (step @p99 :rule trans :premises (@p98 @p91)) % 0.31/0.57 (step @p100 :rule cong :premises (@p99) :args (@t71)) % 0.31/0.57 (step @p101 :rule exists-elim :args ((= @t14 @t71))) % 0.31/0.57 (step @p102 :rule trans :premises (@p101 @p100)) % 0.31/0.57 (step @p103 :rule cong :premises (@p102 @p89) :args (@t15)) % 0.31/0.57 (step @p104 :rule cong :premises (@p103) :args (@t17)) % 0.31/0.57 (step @p105 :rule trans :premises (@p104 @p52)) % 0.31/0.57 (step @p106 :rule cong :premises (@p105) :args (@t18)) % 0.31/0.57 (step @p107 :rule eq_resolve :premises (@p1 @p106)) % 0.31/0.57 (step @p108 :rule skolemize :premises (@p107)) % 0.31/0.57 (step @p109 :rule bool-double-not-elim :args (@t73)) % 0.31/0.57 (step @p110 :rule refl :args (@t84)) % 0.31/0.57 (step @p111 :rule nary_cong :premises (@p110 @p109) :args ((or @t84 (not @t74)))) % 0.31/0.57 (step @p112 :rule cnf_or_neg :args (@t84 2)) % 0.31/0.57 (step @p113 :rule eq_resolve :premises (@p112 @p111)) % 0.31/0.57 (step @p114 :rule reordering :premises (@p113) :args ((or @t73 @t84))) % 0.31/0.57 (step @p115 :rule chain_m_resolution :premises (@p114 @p108) :args (@t73 @t85 @t86)) % 0.31/0.57 (step @p116 :rule cnf_or_neg :args (@t84 0)) % 0.31/0.57 (step @p117 :rule chain_m_resolution :premises (@p116 @p108) :args ((not @t83) @t85 @t86)) % 0.31/0.57 (step @p118 :rule bool-double-not-elim :args (@t75)) % 0.31/0.57 (step @p119 :rule nary_cong :premises (@p110 @p118) :args ((or @t84 (not @t76)))) % 0.31/0.57 (step @p120 :rule cnf_or_neg :args (@t84 1)) % 0.31/0.57 (step @p121 :rule eq_resolve :premises (@p120 @p119)) % 0.31/0.57 (step @p122 :rule reordering :premises (@p121) :args ((or @t75 @t84))) % 0.31/0.57 (step @p123 :rule chain_m_resolution :premises (@p122 @p108) :args (@t75 @t85 @t86)) % 0.31/0.57 (step @p124 :rule aci_norm :args ((= (or @t76 false) @t76))) % 0.31/0.57 (step @p125 :rule eq-refl :args (@t77)) % 0.31/0.57 (step @p126 :rule cong :premises (@p125) :args (@t87)) % 0.31/0.57 (step @p127 :rule trans :premises (@p126 @p4)) % 0.31/0.57 (step @p128 :rule refl :args (@t76)) % 0.31/0.57 (step @p129 :rule nary_cong :premises (@p128 @p127) :args (@t88)) % 0.31/0.57 (step @p130 :rule trans :premises (@p129 @p124)) % 0.31/0.57 (step @p131 :rule refl :args (@t81)) % 0.31/0.57 (step @p132 :rule cong :premises (@p131 @p130) :args ((=> @t81 @t88))) % 0.31/0.57 (assume-push @p161 @t81) % 0.31/0.57 (step @p134 :rule instantiate :premises (@p161) :args (@t89)) % 0.31/0.57 (step-pop @p162 :rule scope :premises (@p134)) % 0.31/0.57 (step @p135 :rule process_scope :premises (@p162) :args (@t88)) % 0.31/0.57 (step @p137 :rule eq_resolve :premises (@p135 @p132)) % 0.31/0.57 (step @p138 :rule implies_elim :premises (@p137)) % 0.31/0.57 (step @p139 :rule chain_m_resolution :premises (@p138 @p123) :args (@t82 (@list false) (@list @t75))) % 0.31/0.57 (step @p140 :rule bool-double-not-elim :args (@t79)) % 0.31/0.57 (step @p141 :rule bool-double-not-elim :args (@t81)) % 0.31/0.57 (step @p142 :rule refl :args (@t83)) % 0.31/0.57 (step @p143 :rule nary_cong :premises (@p142 @p141 @p140) :args ((or @t83 (not @t82) (not @t80)))) % 0.31/0.57 (step @p144 :rule cnf_and_neg :args (@t83)) % 0.31/0.57 (step @p145 :rule eq_resolve :premises (@p144 @p143)) % 0.31/0.57 (step @p146 :rule reordering :premises (@p145) :args ((or @t81 @t79 @t83))) % 0.31/0.57 (step @p147 :rule chain_m_resolution :premises (@p146 @p139 @p117) :args (@t79 (@list true true) (@list @t81 @t83))) % 0.31/0.57 (step @p148 :rule aci_norm :args ((= (or @t74 false) @t74))) % 0.31/0.57 (step @p149 :rule refl :args (@t74)) % 0.31/0.57 (step @p150 :rule nary_cong :premises (@p149 @p127) :args (@t90)) % 0.31/0.57 (step @p151 :rule trans :premises (@p150 @p148)) % 0.31/0.57 (step @p152 :rule refl :args (@t79)) % 0.31/0.57 (step @p153 :rule cong :premises (@p152 @p151) :args ((=> @t79 @t90))) % 0.31/0.57 (assume-push @p163 @t79) % 0.31/0.57 (step @p155 :rule instantiate :premises (@p163) :args (@t89)) % 0.31/0.57 (step-pop @p164 :rule scope :premises (@p155)) % 0.31/0.57 (step @p156 :rule process_scope :premises (@p164) :args (@t90)) % 0.31/0.57 (step @p158 :rule eq_resolve :premises (@p156 @p153)) % 0.31/0.57 (step @p159 :rule implies_elim :premises (@p158)) % 0.31/0.57 (step @p160 false :rule chain_m_resolution :premises (@p159 @p147 @p115) :args (false (@list false false) (@list @t79 @t73))) % 0.31/0.57 ) % 0.31/0.57 % SZS output end Proof % 0.33/0.57 % cvc5 exiting %------------------------------------------------------------------------------