%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL143-1 : TPTP v9.3.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n011.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:22:14 AM UTC 2026 % Result : Unsatisfiable 22.12s 22.73s % Output : Proof 22.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL143-1 : TPTP v9.3.1. Released v1.0.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.10/0.35 % Computer : n011.cluster.edu % 0.10/0.35 % Model : x86_64 x86_64 % 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.35 % Memory : 8046.5625MB % 0.10/0.35 % OS : Linux 6.8.0-71-generic % 0.10/0.35 % CPULimit : 300 % 0.10/0.35 % WCLimit : 300 % 0.10/0.35 % DateTime : Fri Sep 4 23:44:58 UTC 2026 % 0.10/0.35 % CPUTime : % 0.12/0.41 %----Proving TF0_NAR, FOF, or CNF % 0.12/0.43 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.18/15.60 --- Run --no-e-matching --full-saturate-quant at 6... % 21.18/21.77 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 22.12/22.73 % SZS status Unsatisfiable % 22.12/22.73 % SZS output start Proof % 22.12/22.74 ( % 22.12/22.74 (declare-sort $$unsorted 0) % 22.12/22.74 (declare-const tptp.z $$unsorted) % 22.12/22.74 (declare-const tptp.x $$unsorted) % 22.12/22.74 (declare-const tptp.y $$unsorted) % 22.12/22.74 (declare-const tptp.ordered (-> $$unsorted $$unsorted Bool)) % 22.12/22.74 (declare-const tptp.big_hat (-> $$unsorted $$unsorted $$unsorted)) % 22.12/22.74 (declare-const tptp.big_V (-> $$unsorted $$unsorted $$unsorted)) % 22.12/22.74 (declare-const tptp.not (-> $$unsorted $$unsorted)) % 22.12/22.74 (declare-const tptp.implies (-> $$unsorted $$unsorted $$unsorted)) % 22.12/22.74 (declare-const tptp.truth $$unsorted) % 22.12/22.74 (define @t1 () (@var "X" $$unsorted)) % 22.12/22.74 (define @t2 () (tptp.implies tptp.truth @t1)) % 22.12/22.74 (define @t3 () (forall (@list @t1) (= @t2 @t1))) % 22.12/22.74 (define @t4 () (@var "Z" $$unsorted)) % 22.12/22.74 (define @t5 () (@var "Y" $$unsorted)) % 22.12/22.74 (define @t6 () (tptp.implies @t1 @t5)) % 22.12/22.74 (define @t7 () (tptp.implies @t6 (tptp.implies (tptp.implies @t5 @t4) (tptp.implies @t1 @t4)))) % 22.12/22.74 (define @t8 () (forall (@list @t1 @t5 @t4) (= @t7 tptp.truth))) % 22.12/22.74 (define @t9 () (tptp.implies @t5 @t1)) % 22.12/22.74 (define @t10 () (tptp.implies @t6 @t5)) % 22.12/22.74 (define @t11 () (@list @t1 @t5)) % 22.12/22.74 (define @t12 () (tptp.not @t5)) % 22.12/22.74 (define @t13 () (tptp.not @t1)) % 22.12/22.74 (define @t14 () (= @t6 tptp.truth)) % 22.12/22.74 (define @t15 () (tptp.ordered @t1 @t5)) % 22.12/22.74 (define @t16 () (not @t15)) % 22.12/22.74 (define @t17 () (or @t16 @t14)) % 22.12/22.74 (define @t18 () (forall @t11 @t17)) % 22.12/22.74 (define @t19 () (not @t14)) % 22.12/22.74 (define @t20 () (or @t19 @t15)) % 22.12/22.74 (define @t21 () (forall @t11 @t20)) % 22.12/22.74 (define @t22 () (tptp.ordered tptp.x tptp.y)) % 22.12/22.74 (define @t23 () (tptp.implies tptp.z tptp.y)) % 22.12/22.74 (define @t24 () (tptp.implies tptp.z tptp.x)) % 22.12/22.74 (define @t25 () (tptp.ordered @t24 @t23)) % 22.12/22.74 (define @t26 () (tptp.implies tptp.x tptp.y)) % 22.12/22.74 (define @t27 () (= tptp.truth @t26)) % 22.12/22.74 (define @t28 () (not @t22)) % 22.12/22.74 (define @t29 () (or @t28 @t27)) % 22.12/22.74 (define @t30 () (@list tptp.z tptp.x tptp.y)) % 22.12/22.74 (define @t31 () (= tptp.truth (tptp.implies @t24 @t23))) % 22.12/22.74 (define @t32 () (not @t31)) % 22.12/22.74 (define @t33 () (or @t32 @t25)) % 22.12/22.74 (define @t34 () (tptp.implies @t26 @t23)) % 22.12/22.74 (define @t35 () (tptp.implies @t24 @t34)) % 22.12/22.74 (define @t36 () (= tptp.truth @t35)) % 22.12/22.74 (define @t37 () (not @t36)) % 22.12/22.74 (define @t38 () (= @t23 (tptp.implies tptp.truth @t23))) % 22.12/22.74 (define @t39 () (not @t38)) % 22.12/22.74 (define @t40 () (not @t27)) % 22.12/22.74 (define @t41 () (and @t31 @t32)) % 22.12/22.74 (assume @p1 @t3) % 22.12/22.74 (assume @p2 @t8) % 22.12/22.74 (assume @p3 (forall @t11 (= @t10 (tptp.implies @t9 @t1)))) % 22.12/22.74 (assume @p4 (forall @t11 (= (tptp.implies (tptp.implies @t13 @t12) @t9) tptp.truth))) % 22.12/22.74 (assume @p5 (forall @t11 (= (tptp.big_V @t1 @t5) @t10))) % 22.12/22.74 (assume @p6 (forall @t11 (= (tptp.big_hat @t1 @t5) (tptp.not (tptp.big_V @t13 @t12))))) % 22.12/22.74 (assume @p7 @t18) % 22.12/22.74 (assume @p8 @t21) % 22.12/22.74 (assume @p9 @t22) % 22.12/22.74 (assume @p10 (not @t25)) % 22.12/22.74 (step @p11 :rule eq-symm :args (@t6 tptp.truth)) % 22.12/22.74 (step @p12 :rule refl :args (@t16)) % 22.12/22.74 (step @p13 :rule nary_cong :premises (@p12 @p11) :args (@t17)) % 22.12/22.74 (step @p14 :rule cong :premises (@p13) :args (@t18)) % 22.12/22.74 (step @p15 :rule eq_resolve :premises (@p7 @p14)) % 22.12/22.74 (step @p16 :rule instantiate :premises (@p15) :args ((@list tptp.x tptp.y))) % 22.12/22.74 (step @p17 :rule cnf_or_pos :args (@t29)) % 22.12/22.74 (step @p18 :rule reordering :premises (@p17) :args ((or @t28 @t27 (not @t29)))) % 22.12/22.74 (step @p19 :rule chain_m_resolution :premises (@p18 @p9 @p16) :args (@t27 (@list false false) (@list @t22 @t29))) % 22.12/22.74 (step @p20 :rule eq-symm :args (@t2 @t1)) % 22.12/22.74 (step @p21 :rule cong :premises (@p20) :args (@t3)) % 22.12/22.74 (step @p22 :rule eq_resolve :premises (@p1 @p21)) % 22.12/22.74 (step @p23 :rule instantiate :premises (@p22) :args ((@list @t23))) % 22.12/22.74 (step @p24 :rule eq-symm :args (@t7 tptp.truth)) % 22.12/22.74 (step @p25 :rule cong :premises (@p24) :args (@t8)) % 22.12/22.74 (step @p26 :rule eq_resolve :premises (@p2 @p25)) % 22.12/22.74 (step @p27 :rule instantiate :premises (@p26) :args (@t30)) % 22.12/22.74 (step @p28 :rule refl :args (@t15)) % 22.12/22.74 (step @p29 :rule cong :premises (@p11) :args (@t19)) % 22.12/22.74 (step @p30 :rule nary_cong :premises (@p29 @p28) :args (@t20)) % 22.12/22.74 (step @p31 :rule cong :premises (@p30) :args (@t21)) % 22.12/22.74 (step @p32 :rule eq_resolve :premises (@p8 @p31)) % 22.12/22.74 (step @p33 :rule instantiate :premises (@p32) :args ((@list @t24 @t23))) % 22.12/22.74 (step @p34 :rule cnf_or_pos :args (@t33)) % 22.12/22.74 (step @p35 :rule reordering :premises (@p34) :args ((or @t25 @t32 (not @t33)))) % 22.12/22.74 (step @p36 :rule chain_m_resolution :premises (@p35 @p10 @p33) :args (@t32 (@list true false) (@list @t25 @t33))) % 22.12/22.74 (step @p37 :rule bool-double-not-elim :args (@t31)) % 22.12/22.74 (step @p38 :rule refl :args (@t37)) % 22.12/22.74 (step @p39 :rule refl :args (@t39)) % 22.12/22.74 (step @p40 :rule refl :args (@t40)) % 22.12/22.74 (step @p41 :rule nary_cong :premises (@p40 @p39 @p38 @p37) :args ((or @t40 @t39 @t37 (not @t32)))) % 22.12/22.74 (assume-push @p78 @t31) % 22.12/22.74 (assume-push @p79 @t32) % 22.12/22.74 (step @p44 :rule evaluate :args ((= true false))) % 22.12/22.74 (step @p45 :rule false_intro :premises (@p36)) % 22.12/22.74 (step @p46 :rule symm :premises (@p23)) % 22.12/22.74 (step @p47 :rule refl :args (@t23)) % 22.12/22.74 (step @p48 :rule symm :premises (@p19)) % 22.12/22.74 (step @p49 :rule cong :premises (@p48 @p47) :args (@t34)) % 22.12/22.74 (step @p50 :rule trans :premises (@p49 @p46)) % 22.12/22.74 (step @p51 :rule refl :args (@t24)) % 22.12/22.74 (step @p52 :rule cong :premises (@p51 @p50) :args (@t35)) % 22.12/22.74 (step @p53 :rule instantiate :premises (@p26) :args (@t30)) % 22.12/22.74 (step @p54 :rule trans :premises (@p53 @p52)) % 22.12/22.74 (step @p55 :rule true_intro :premises (@p54)) % 22.12/22.74 (step @p56 :rule symm :premises (@p55)) % 22.12/22.74 (step @p57 :rule trans :premises (@p56 @p45)) % 22.12/22.74 (step @p58 false :rule eq_resolve :premises (@p57 @p44)) % 22.12/22.74 (step-pop @p80 :rule scope :premises (@p58)) % 22.12/22.74 (step-pop @p81 :rule scope :premises (@p80)) % 22.12/22.74 (step @p59 :rule process_scope :premises (@p81) :args (false)) % 22.12/22.74 (assume-push @p82 @t27) % 22.12/22.74 (assume-push @p83 @t38) % 22.12/22.74 (assume-push @p84 @t36) % 22.12/22.74 (assume-push @p85 @t32) % 22.12/22.74 (step @p46 :rule symm :premises (@p23)) % 22.12/22.74 (step @p47 :rule refl :args (@t23)) % 22.12/22.74 (step @p48 :rule symm :premises (@p19)) % 22.12/22.74 (step @p49 :rule cong :premises (@p48 @p47) :args (@t34)) % 22.12/22.74 (step @p50 :rule trans :premises (@p49 @p46)) % 22.12/22.74 (step @p51 :rule refl :args (@t24)) % 22.12/22.74 (step @p52 :rule cong :premises (@p51 @p50) :args (@t35)) % 22.12/22.74 (step @p66 :rule trans :premises (@p27 @p52)) % 22.12/22.74 (step @p67 :rule and_intro :premises (@p66 @p36)) % 22.12/22.74 (step-pop @p86 :rule scope :premises (@p67)) % 22.12/22.74 (step-pop @p87 :rule scope :premises (@p86)) % 22.12/22.74 (step-pop @p88 :rule scope :premises (@p87)) % 22.12/22.74 (step-pop @p89 :rule scope :premises (@p88)) % 22.12/22.74 (step @p68 :rule process_scope :premises (@p89) :args (@t41)) % 22.12/22.74 (step @p73 :rule implies_elim :premises (@p68)) % 22.12/22.74 (step @p74 :rule resolution :premises (@p73 @p59) :args (true @t41)) % 22.12/22.74 (step @p75 :rule not_and :premises (@p74)) % 22.12/22.74 (step @p76 :rule eq_resolve :premises (@p75 @p41)) % 22.12/22.74 (step @p77 false :rule chain_m_resolution :premises (@p76 @p36 @p27 @p23 @p19) :args (false (@list true false false false) (@list @t31 @t36 @t38 @t27))) % 22.12/22.74 ) % 22.12/22.74 % SZS output end Proof % 22.12/22.74 % cvc5 exiting %------------------------------------------------------------------------------