%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU908^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n029.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 08:53:31 AM UTC 2026 % Result : Theorem 0.38s 0.57s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU908^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n029.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 17:58:32 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.49 %----Proving TH0 % 0.38/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.57 % SZS status Theorem % 0.38/0.57 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (declare-sort tptp.a 0) % 0.38/0.57 (declare-const tptp.f (-> tptp.a tptp.a)) % 0.38/0.57 (define @t1 () (@var "Xx" tptp.a)) % 0.38/0.57 (define @t2 () (_ tptp.f @t1)) % 0.38/0.57 (define @t3 () (@var "Xp" (-> tptp.a Bool))) % 0.38/0.57 (define @t4 () (_ @t3 @t2)) % 0.38/0.57 (define @t5 () (@var "Xx0" tptp.a)) % 0.38/0.57 (define @t6 () (_ tptp.f @t5)) % 0.38/0.57 (define @t7 () (_ @t3 @t6)) % 0.38/0.57 (define @t8 () (_ @t3 @t5)) % 0.38/0.57 (define @t9 () (@list @t5)) % 0.38/0.57 (define @t10 () (forall @t9 (=> @t8 @t7))) % 0.38/0.57 (define @t11 () (=> @t10 @t4)) % 0.38/0.57 (define @t12 () (@list @t3)) % 0.38/0.57 (define @t13 () (forall @t12 @t11)) % 0.38/0.57 (define @t14 () (_ @t3 @t1)) % 0.38/0.57 (define @t15 () (=> @t10 @t14)) % 0.38/0.57 (define @t16 () (forall @t12 @t15)) % 0.38/0.57 (define @t17 () (=> @t16 @t13)) % 0.38/0.57 (define @t18 () (@list @t1)) % 0.38/0.57 (define @t19 () (forall @t18 @t17)) % 0.38/0.57 (define @t20 () (not @t19)) % 0.38/0.57 (define @t21 () (tptp.f @t1)) % 0.38/0.57 (define @t22 () (@var "BOUND_VARIABLE_7463" (-> tptp.a Bool))) % 0.38/0.57 (define @t23 () (_ @t22 @t21)) % 0.38/0.57 (define @t24 () (tptp.f @t5)) % 0.38/0.57 (define @t25 () (not (forall @t9 (or (not (_ @t22 @t5)) (_ @t22 @t24))))) % 0.38/0.57 (define @t26 () (_ @t3 @t1)) % 0.38/0.57 (define @t27 () (_ @t3 @t24)) % 0.38/0.57 (define @t28 () (_ @t3 @t5)) % 0.38/0.57 (define @t29 () (forall @t9 (or (not @t28) @t27))) % 0.38/0.57 (define @t30 () (not @t29)) % 0.38/0.57 (define @t31 () (forall @t12 (or @t30 @t26))) % 0.38/0.57 (define @t32 () (not @t31)) % 0.38/0.57 (define @t33 () (or @t32 @t25 @t23)) % 0.38/0.57 (define @t34 () (or @t25 @t23)) % 0.38/0.57 (define @t35 () (or @t32 @t34)) % 0.38/0.57 (define @t36 () (@list @t1 @t22)) % 0.38/0.57 (define @t37 () (forall @t36 @t35)) % 0.38/0.57 (define @t38 () (@list @t22)) % 0.38/0.57 (define @t39 () (forall @t38 @t35)) % 0.38/0.57 (define @t40 () (forall @t38 @t34)) % 0.38/0.57 (define @t41 () (or @t32 @t40)) % 0.38/0.57 (define @t42 () (_ @t3 @t21)) % 0.38/0.57 (define @t43 () (forall @t12 (or @t30 @t42))) % 0.38/0.57 (define @t44 () (or @t30 @t4)) % 0.38/0.57 (define @t45 () (not @t8)) % 0.38/0.57 (define @t46 () (or @t45 @t7)) % 0.38/0.57 (define @t47 () (or @t30 @t14)) % 0.38/0.57 (define @t48 () (forall @t36 @t33)) % 0.38/0.57 (define @t49 () (@quantifiers_skolemize @t48 0)) % 0.38/0.57 (define @t50 () (forall @t12 (or @t30 (_ @t3 @t49)))) % 0.38/0.57 (define @t51 () (@quantifiers_skolemize @t48 1)) % 0.38/0.57 (define @t52 () (_ @t51 (tptp.f @t49))) % 0.38/0.57 (define @t53 () (forall @t9 (or (not (_ @t51 @t5)) (_ @t51 @t24)))) % 0.38/0.57 (define @t54 () (not @t53)) % 0.38/0.57 (define @t55 () (not @t50)) % 0.38/0.57 (define @t56 () (or @t55 @t54 @t52)) % 0.38/0.57 (define @t57 () (@list true)) % 0.38/0.57 (define @t58 () (@list @t56)) % 0.38/0.57 (define @t59 () (_ @t51 @t49)) % 0.38/0.57 (define @t60 () (not @t59)) % 0.38/0.57 (define @t61 () (or @t60 @t52)) % 0.38/0.57 (define @t62 () (@list true false)) % 0.38/0.57 (define @t63 () (or @t54 @t59)) % 0.38/0.57 (define @t64 () (not @t63)) % 0.38/0.57 (assume @p1 @t20) % 0.38/0.57 (assume @p2 true) % 0.38/0.57 (step @p3 :rule aci_norm :args ((= @t35 @t33))) % 0.38/0.57 (step @p4 :rule cong :premises (@p3) :args (@t37)) % 0.38/0.57 (step @p5 :rule quant-merge-prenex :args ((= (forall @t18 @t39) @t37))) % 0.38/0.57 (step @p6 :rule alpha_equiv :args (@t40 (@list @t22) (@list @t3))) % 0.38/0.57 (step @p7 :rule refl :args (@t32)) % 0.38/0.57 (step @p8 :rule nary_cong :premises (@p7 @p6) :args (@t41)) % 0.38/0.57 (step @p9 :rule quant-miniscope-or :args ((= @t39 @t41))) % 0.38/0.57 (step @p10 :rule trans :premises (@p9 @p8)) % 0.38/0.57 (step @p11 :rule symm :premises (@p10)) % 0.38/0.57 (step @p12 :rule cong :premises (@p11) :args ((forall @t18 (or @t32 @t43)))) % 0.38/0.57 (step @p13 :rule trans :premises (@p12 @p5)) % 0.38/0.57 (step @p14 :rule trans :premises (@p13 @p4)) % 0.38/0.57 (step @p15 :rule bool-impl-elim :args (@t31 @t43)) % 0.38/0.57 (step @p16 :rule cong :premises (@p15) :args ((forall @t18 (=> @t31 @t43)))) % 0.38/0.57 (step @p17 :rule trans :premises (@p16 @p14)) % 0.38/0.57 (step @p18 :rule refl :args ((_ @t3 @t2))) % 0.38/0.57 (step @p19 :rule refl :args (@t21)) % 0.38/0.57 (step @p20 :rule cong :premises (@p19) :args (@t42)) % 0.38/0.57 (step @p21 :rule trans :premises (@p20 @p18)) % 0.38/0.57 (step @p22 :rule refl :args (@t3)) % 0.38/0.57 (step @p23 :rule ho_cong :premises (@p22 @p19)) % 0.38/0.57 (step @p24 :rule cong :premises (@p23 @p21) :args ((= (_ @t3 @t21) @t42))) % 0.38/0.57 (step @p25 :rule symm :premises (@p24)) % 0.38/0.57 (step @p26 :rule refl :args (@t4)) % 0.38/0.57 (step @p27 :rule eq_resolve :premises (@p26 @p25)) % 0.38/0.57 (step @p28 :rule refl :args (@t2)) % 0.38/0.57 (step @p29 :rule cong :premises (@p28 @p19) :args ((= @t2 @t21))) % 0.38/0.57 (step @p30 :rule symm :premises (@p29)) % 0.38/0.57 (step @p31 :rule eq_resolve :premises (@p28 @p30)) % 0.38/0.57 (step @p32 :rule ho_cong :premises (@p22 @p31)) % 0.38/0.57 (step @p33 :rule trans :premises (@p32 @p27)) % 0.38/0.57 (step @p34 :rule refl :args (@t30)) % 0.38/0.57 (step @p35 :rule nary_cong :premises (@p34 @p33) :args (@t44)) % 0.38/0.57 (step @p36 :rule cong :premises (@p35) :args ((forall @t12 @t44))) % 0.38/0.57 (step @p37 :rule bool-impl-elim :args (@t29 @t4)) % 0.38/0.57 (step @p38 :rule cong :premises (@p37) :args ((forall @t12 (=> @t29 @t4)))) % 0.38/0.57 (step @p39 :rule trans :premises (@p38 @p36)) % 0.38/0.57 (step @p40 :rule refl :args (@t4)) % 0.38/0.57 (step @p41 :rule refl :args ((_ @t3 @t6))) % 0.38/0.57 (step @p42 :rule refl :args (@t24)) % 0.38/0.57 (step @p43 :rule cong :premises (@p42) :args (@t27)) % 0.38/0.57 (step @p44 :rule trans :premises (@p43 @p41)) % 0.38/0.57 (step @p45 :rule ho_cong :premises (@p22 @p42)) % 0.38/0.57 (step @p46 :rule cong :premises (@p45 @p44) :args ((= (_ @t3 @t24) @t27))) % 0.38/0.57 (step @p47 :rule symm :premises (@p46)) % 0.38/0.57 (step @p48 :rule refl :args (@t7)) % 0.38/0.57 (step @p49 :rule eq_resolve :premises (@p48 @p47)) % 0.38/0.57 (step @p50 :rule refl :args (@t6)) % 0.38/0.57 (step @p51 :rule cong :premises (@p50 @p42) :args ((= @t6 @t24))) % 0.38/0.57 (step @p52 :rule symm :premises (@p51)) % 0.38/0.57 (step @p53 :rule eq_resolve :premises (@p50 @p52)) % 0.38/0.57 (step @p54 :rule ho_cong :premises (@p22 @p53)) % 0.38/0.57 (step @p55 :rule trans :premises (@p54 @p49)) % 0.38/0.57 (step @p56 :rule refl :args (@t28)) % 0.38/0.57 (step @p57 :rule refl :args (@t8)) % 0.38/0.57 (step @p58 :rule cong :premises (@p57 @p56) :args ((= @t8 @t28))) % 0.38/0.57 (step @p59 :rule symm :premises (@p58)) % 0.38/0.57 (step @p60 :rule eq_resolve :premises (@p57 @p59)) % 0.38/0.57 (step @p61 :rule cong :premises (@p60) :args (@t45)) % 0.38/0.57 (step @p62 :rule nary_cong :premises (@p61 @p55) :args (@t46)) % 0.38/0.57 (step @p63 :rule cong :premises (@p62) :args ((forall @t9 @t46))) % 0.38/0.57 (step @p64 :rule bool-impl-elim :args (@t8 @t7)) % 0.38/0.57 (step @p65 :rule cong :premises (@p64) :args (@t10)) % 0.38/0.57 (step @p66 :rule trans :premises (@p65 @p63)) % 0.38/0.57 (step @p67 :rule cong :premises (@p66 @p40) :args (@t11)) % 0.38/0.57 (step @p68 :rule cong :premises (@p67) :args (@t13)) % 0.38/0.57 (step @p69 :rule trans :premises (@p68 @p39)) % 0.38/0.57 (step @p70 :rule refl :args (@t26)) % 0.38/0.57 (step @p71 :rule refl :args (@t14)) % 0.38/0.57 (step @p72 :rule cong :premises (@p71 @p70) :args ((= @t14 @t26))) % 0.38/0.57 (step @p73 :rule symm :premises (@p72)) % 0.38/0.57 (step @p74 :rule eq_resolve :premises (@p71 @p73)) % 0.38/0.57 (step @p75 :rule nary_cong :premises (@p34 @p74) :args (@t47)) % 0.38/0.57 (step @p76 :rule cong :premises (@p75) :args ((forall @t12 @t47))) % 0.38/0.57 (step @p77 :rule bool-impl-elim :args (@t29 @t14)) % 0.38/0.57 (step @p78 :rule cong :premises (@p77) :args ((forall @t12 (=> @t29 @t14)))) % 0.38/0.57 (step @p79 :rule trans :premises (@p78 @p76)) % 0.38/0.57 (step @p80 :rule refl :args (@t14)) % 0.38/0.57 (step @p81 :rule cong :premises (@p66 @p80) :args (@t15)) % 0.38/0.57 (step @p82 :rule cong :premises (@p81) :args (@t16)) % 0.38/0.57 (step @p83 :rule trans :premises (@p82 @p79)) % 0.38/0.57 (step @p84 :rule cong :premises (@p83 @p69) :args (@t17)) % 0.38/0.57 (step @p85 :rule cong :premises (@p84) :args (@t19)) % 0.38/0.57 (step @p86 :rule trans :premises (@p85 @p17)) % 0.38/0.57 (step @p87 :rule cong :premises (@p86) :args (@t20)) % 0.38/0.57 (step @p88 :rule eq_resolve :premises (@p1 @p87)) % 0.38/0.57 (step @p89 :rule skolemize :premises (@p88)) % 0.38/0.57 (step @p90 :rule bool-double-not-elim :args (@t50)) % 0.38/0.57 (step @p91 :rule refl :args (@t56)) % 0.38/0.57 (step @p92 :rule nary_cong :premises (@p91 @p90) :args ((or @t56 (not @t55)))) % 0.38/0.57 (step @p93 :rule cnf_or_neg :args (@t56 0)) % 0.38/0.57 (step @p94 :rule eq_resolve :premises (@p93 @p92)) % 0.38/0.57 (step @p95 :rule reordering :premises (@p94) :args ((or @t50 @t56))) % 0.38/0.57 (step @p96 :rule chain_m_resolution :premises (@p95 @p89) :args (@t50 @t57 @t58)) % 0.38/0.57 (step @p97 :rule bool-double-not-elim :args (@t53)) % 0.38/0.57 (step @p98 :rule nary_cong :premises (@p91 @p97) :args ((or @t56 (not @t54)))) % 0.38/0.57 (step @p99 :rule cnf_or_neg :args (@t56 1)) % 0.38/0.57 (step @p100 :rule eq_resolve :premises (@p99 @p98)) % 0.38/0.57 (step @p101 :rule reordering :premises (@p100) :args ((or @t53 @t56))) % 0.38/0.57 (step @p102 :rule chain_m_resolution :premises (@p101 @p89) :args (@t53 @t57 @t58)) % 0.38/0.57 (step @p103 :rule instantiate :premises (@p102) :args ((@list @t49))) % 0.38/0.57 (step @p104 :rule cnf_or_neg :args (@t56 2)) % 0.38/0.57 (step @p105 :rule chain_m_resolution :premises (@p104 @p89) :args ((not @t52) @t57 @t58)) % 0.38/0.57 (step @p106 :rule cnf_or_pos :args (@t61)) % 0.38/0.57 (step @p107 :rule reordering :premises (@p106) :args ((or @t52 @t60 (not @t61)))) % 0.38/0.57 (step @p108 :rule chain_m_resolution :premises (@p107 @p105 @p103) :args (@t60 @t62 (@list @t52 @t61))) % 0.38/0.57 (step @p109 :rule cnf_or_pos :args (@t63)) % 0.38/0.57 (step @p110 :rule reordering :premises (@p109) :args ((or @t54 @t59 @t64))) % 0.38/0.57 (step @p111 :rule chain_m_resolution :premises (@p110 @p102 @p108) :args (@t64 (@list false true) (@list @t53 @t59))) % 0.38/0.57 (assume-push @p118 @t50) % 0.38/0.57 (step @p113 :rule instantiate :premises (@p96) :args ((@list @t51))) % 0.38/0.57 (step-pop @p119 :rule scope :premises (@p113)) % 0.38/0.57 (step @p114 :rule process_scope :premises (@p119) :args (@t63)) % 0.38/0.57 (step @p116 :rule implies_elim :premises (@p114)) % 0.38/0.57 (step @p117 false :rule chain_m_resolution :premises (@p116 @p111 @p96) :args (false @t62 (@list @t63 @t50))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------