%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL174-3 : TPTP v9.3.1. Released v2.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n031.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 11:22:18 AM UTC 2026 % Result : Unsatisfiable 0.18s 0.49s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL174-3 : TPTP v9.3.1. Released v2.3.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.08/0.35 % Computer : n031.cluster.edu % 0.08/0.35 % Model : x86_64 x86_64 % 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.35 % Memory : 8046.5625MB % 0.08/0.35 % OS : Linux 6.8.0-71-generic % 0.08/0.36 % CPULimit : 300 % 0.08/0.36 % WCLimit : 300 % 0.08/0.36 % DateTime : Sat Sep 5 11:37:39 UTC 2026 % 0.12/0.36 % CPUTime : % 0.12/0.42 %----Proving TF0_NAR, FOF, or CNF % 0.12/0.44 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.18/0.49 % SZS status Unsatisfiable % 0.18/0.49 % SZS output start Proof % 0.18/0.49 ( % 0.18/0.49 (declare-sort $$unsorted 0) % 0.18/0.49 (declare-const tptp.q $$unsorted) % 0.18/0.49 (declare-const tptp.r $$unsorted) % 0.18/0.49 (declare-const tptp.theorem (-> $$unsorted Bool)) % 0.18/0.49 (declare-const tptp.not (-> $$unsorted $$unsorted)) % 0.18/0.49 (declare-const tptp.p $$unsorted) % 0.18/0.49 (declare-const tptp.axiom (-> $$unsorted Bool)) % 0.18/0.49 (declare-const tptp.implies (-> $$unsorted $$unsorted $$unsorted)) % 0.18/0.49 (declare-const tptp.or (-> $$unsorted $$unsorted $$unsorted)) % 0.18/0.49 (define @t1 () (@var "A" $$unsorted)) % 0.18/0.49 (define @t2 () (@var "B" $$unsorted)) % 0.18/0.49 (define @t3 () (tptp.or @t2 @t1)) % 0.18/0.49 (define @t4 () (@list @t1 @t2)) % 0.18/0.49 (define @t5 () (@var "C" $$unsorted)) % 0.18/0.49 (define @t6 () (@list @t1 @t2 @t5)) % 0.18/0.49 (define @t7 () (@var "Y" $$unsorted)) % 0.18/0.49 (define @t8 () (@var "X" $$unsorted)) % 0.18/0.49 (define @t9 () (@list @t8 @t7)) % 0.18/0.49 (define @t10 () (forall @t9 (= (tptp.implies @t8 @t7) (tptp.or (tptp.not @t8) @t7)))) % 0.18/0.49 (define @t11 () (tptp.theorem @t8)) % 0.18/0.49 (define @t12 () (tptp.implies tptp.p tptp.r)) % 0.18/0.49 (define @t13 () (tptp.implies tptp.q tptp.r)) % 0.18/0.49 (define @t14 () (tptp.implies @t13 @t12)) % 0.18/0.49 (define @t15 () (tptp.implies tptp.p tptp.q)) % 0.18/0.49 (define @t16 () (tptp.implies @t15 @t12)) % 0.18/0.49 (define @t17 () (tptp.not @t15)) % 0.18/0.49 (define @t18 () (tptp.or @t17 @t12)) % 0.18/0.49 (define @t19 () (= @t16 @t18)) % 0.18/0.49 (define @t20 () (= @t18 @t16)) % 0.18/0.49 (define @t21 () (@list false)) % 0.18/0.49 (define @t22 () (@list @t10)) % 0.18/0.49 (define @t23 () (tptp.implies @t13 @t18)) % 0.18/0.49 (define @t24 () (tptp.not @t13)) % 0.18/0.49 (define @t25 () (tptp.or @t24 @t18)) % 0.18/0.49 (define @t26 () (= @t23 @t25)) % 0.18/0.49 (define @t27 () (= @t25 @t23)) % 0.18/0.49 (define @t28 () (tptp.not tptp.p)) % 0.18/0.49 (define @t29 () (tptp.or @t17 (tptp.or @t24 @t12))) % 0.18/0.49 (define @t30 () (tptp.implies @t25 @t29)) % 0.18/0.49 (define @t31 () (tptp.axiom @t30)) % 0.18/0.49 (define @t32 () (not @t31)) % 0.18/0.49 (define @t33 () (tptp.theorem @t30)) % 0.18/0.49 (define @t34 () (or @t33 @t32)) % 0.18/0.49 (define @t35 () (tptp.theorem @t29)) % 0.18/0.49 (define @t36 () (tptp.theorem @t25)) % 0.18/0.49 (define @t37 () (not @t36)) % 0.18/0.49 (define @t38 () (not @t33)) % 0.18/0.49 (define @t39 () (or @t35 @t38 @t37)) % 0.18/0.49 (define @t40 () (tptp.axiom @t25)) % 0.18/0.49 (define @t41 () (not @t40)) % 0.18/0.49 (define @t42 () (or @t36 @t41)) % 0.18/0.49 (define @t43 () (tptp.or @t28 tptp.q)) % 0.18/0.49 (define @t44 () (= @t15 @t43)) % 0.18/0.49 (define @t45 () (tptp.or @t28 tptp.r)) % 0.18/0.49 (define @t46 () (= @t12 @t45)) % 0.18/0.49 (define @t47 () (tptp.axiom (tptp.implies @t13 (tptp.implies @t43 @t45)))) % 0.18/0.49 (define @t48 () (and @t44 @t46 @t20 @t27 @t47)) % 0.18/0.49 (assume @p1 (forall (@list @t1) (tptp.axiom (tptp.implies (tptp.or @t1 @t1) @t1)))) % 0.18/0.49 (assume @p2 (forall @t4 (tptp.axiom (tptp.implies @t1 @t3)))) % 0.18/0.49 (assume @p3 (forall @t4 (tptp.axiom (tptp.implies (tptp.or @t1 @t2) @t3)))) % 0.18/0.49 (assume @p4 (forall @t6 (tptp.axiom (tptp.implies (tptp.or @t1 (tptp.or @t2 @t5)) (tptp.or @t2 (tptp.or @t1 @t5)))))) % 0.18/0.49 (assume @p5 (forall @t6 (tptp.axiom (tptp.implies (tptp.implies @t1 @t2) (tptp.implies (tptp.or @t5 @t1) (tptp.or @t5 @t2)))))) % 0.18/0.49 (assume @p6 @t10) % 0.18/0.49 (assume @p7 (forall (@list @t8) (or @t11 (not (tptp.axiom @t8))))) % 0.18/0.49 (assume @p8 (forall @t9 (or @t11 (not (tptp.theorem (tptp.implies @t7 @t8))) (not (tptp.theorem @t7))))) % 0.18/0.49 (assume @p9 (not (tptp.theorem (tptp.implies @t15 @t14)))) % 0.18/0.49 (step @p10 :rule instantiate :premises (@p6) :args ((@list tptp.p tptp.q))) % 0.18/0.49 (step @p11 :rule instantiate :premises (@p6) :args ((@list tptp.p tptp.r))) % 0.18/0.49 (step @p12 :rule eq-symm :args (@t16 @t18)) % 0.18/0.49 (step @p13 :rule refl :args (@t10)) % 0.18/0.49 (step @p14 :rule cong :premises (@p13 @p12) :args ((=> @t10 @t19))) % 0.18/0.49 (assume-push @p81 @t10) % 0.18/0.49 (step @p16 :rule instantiate :premises (@p6) :args ((@list @t15 @t12))) % 0.18/0.49 (step-pop @p82 :rule scope :premises (@p16)) % 0.18/0.49 (step @p17 :rule process_scope :premises (@p82) :args (@t19)) % 0.18/0.49 (step @p19 :rule eq_resolve :premises (@p17 @p14)) % 0.18/0.49 (step @p20 :rule implies_elim :premises (@p19)) % 0.18/0.49 (step @p21 :rule chain_m_resolution :premises (@p20 @p6) :args (@t20 @t21 @t22)) % 0.18/0.49 (step @p22 :rule eq-symm :args (@t23 @t25)) % 0.18/0.49 (step @p23 :rule cong :premises (@p13 @p22) :args ((=> @t10 @t26))) % 0.18/0.49 (assume-push @p83 @t10) % 0.18/0.49 (step @p25 :rule instantiate :premises (@p6) :args ((@list @t13 @t18))) % 0.18/0.49 (step-pop @p84 :rule scope :premises (@p25)) % 0.18/0.49 (step @p26 :rule process_scope :premises (@p84) :args (@t26)) % 0.18/0.49 (step @p28 :rule eq_resolve :premises (@p26 @p23)) % 0.18/0.49 (step @p29 :rule implies_elim :premises (@p28)) % 0.18/0.49 (step @p30 :rule chain_m_resolution :premises (@p29 @p6) :args (@t27 @t21 @t22)) % 0.18/0.49 (step @p31 :rule instantiate :premises (@p5) :args ((@list tptp.q tptp.r @t28))) % 0.18/0.49 (step @p32 :rule instantiate :premises (@p7) :args ((@list @t25))) % 0.18/0.49 (step @p33 :rule instantiate :premises (@p8) :args ((@list @t29 @t25))) % 0.18/0.49 (step @p34 :rule instantiate :premises (@p7) :args ((@list @t30))) % 0.18/0.49 (step @p35 :rule instantiate :premises (@p4) :args ((@list @t24 @t17 @t12))) % 0.18/0.49 (step @p36 :rule cnf_or_pos :args (@t34)) % 0.18/0.49 (step @p37 :rule reordering :premises (@p36) :args ((or @t32 @t33 (not @t34)))) % 0.18/0.49 (step @p38 :rule chain_m_resolution :premises (@p37 @p35 @p34) :args (@t33 (@list false false) (@list @t31 @t34))) % 0.18/0.49 (step @p39 :rule false_intro :premises (@p9)) % 0.18/0.49 (step @p40 :rule instantiate :premises (@p6) :args ((@list @t15 @t14))) % 0.18/0.49 (step @p41 :rule symm :premises (@p40)) % 0.18/0.49 (step @p42 :rule instantiate :premises (@p6) :args ((@list @t13 @t12))) % 0.18/0.49 (step @p43 :rule symm :premises (@p42)) % 0.18/0.49 (step @p44 :rule refl :args (@t17)) % 0.18/0.49 (step @p45 :rule cong :premises (@p44 @p43) :args (@t29)) % 0.18/0.49 (step @p46 :rule trans :premises (@p45 @p41)) % 0.18/0.49 (step @p47 :rule cong :premises (@p46) :args (@t35)) % 0.18/0.49 (step @p48 :rule trans :premises (@p47 @p39)) % 0.18/0.49 (step @p49 :rule false_elim :premises (@p48)) % 0.18/0.49 (step @p50 :rule cnf_or_pos :args (@t39)) % 0.18/0.49 (step @p51 :rule reordering :premises (@p50) :args ((or @t35 @t38 @t37 (not @t39)))) % 0.18/0.49 (step @p52 :rule chain_m_resolution :premises (@p51 @p49 @p38 @p33) :args (@t37 (@list true false false) (@list @t35 @t33 @t39))) % 0.18/0.49 (step @p53 :rule cnf_or_pos :args (@t42)) % 0.18/0.49 (step @p54 :rule reordering :premises (@p53) :args ((or @t36 @t41 (not @t42)))) % 0.18/0.49 (step @p55 :rule chain_m_resolution :premises (@p54 @p52 @p32) :args (@t41 (@list true false) (@list @t36 @t42))) % 0.18/0.49 (assume-push @p85 @t44) % 0.18/0.49 (assume-push @p86 @t46) % 0.18/0.49 (assume-push @p87 @t20) % 0.18/0.49 (assume-push @p88 @t27) % 0.18/0.49 (assume-push @p89 @t47) % 0.18/0.49 (step @p61 :rule true_intro :premises (@p31)) % 0.18/0.49 (step @p62 :rule cong :premises (@p10 @p11) :args (@t16)) % 0.18/0.49 (step @p63 :rule trans :premises (@p21 @p62)) % 0.18/0.49 (step @p64 :rule refl :args (@t13)) % 0.18/0.49 (step @p65 :rule cong :premises (@p64 @p63) :args (@t23)) % 0.18/0.49 (step @p66 :rule trans :premises (@p30 @p65)) % 0.18/0.49 (step @p67 :rule cong :premises (@p66) :args (@t40)) % 0.18/0.49 (step @p68 :rule trans :premises (@p67 @p61)) % 0.18/0.49 (step @p69 :rule true_elim :premises (@p68)) % 0.18/0.49 (step-pop @p90 :rule scope :premises (@p69)) % 0.18/0.49 (step-pop @p91 :rule scope :premises (@p90)) % 0.18/0.49 (step-pop @p92 :rule scope :premises (@p91)) % 0.18/0.49 (step-pop @p93 :rule scope :premises (@p92)) % 0.18/0.49 (step-pop @p94 :rule scope :premises (@p93)) % 0.18/0.49 (step @p70 :rule process_scope :premises (@p94) :args (@t40)) % 0.18/0.49 (step @p76 :rule implies_elim :premises (@p70)) % 0.18/0.49 (step @p77 :rule cnf_and_neg :args (@t48)) % 0.18/0.49 (step @p78 :rule resolution :premises (@p77 @p76) :args (true @t48)) % 0.18/0.49 (step @p79 :rule reordering :premises (@p78) :args ((or (not @t44) (not @t46) (not @t20) (not @t27) @t40 (not @t47)))) % 0.18/0.49 (step @p80 false :rule chain_m_resolution :premises (@p79 @p55 @p31 @p30 @p21 @p11 @p10) :args (false (@list true false false false false false) (@list @t40 @t47 @t27 @t20 @t46 @t44))) % 0.18/0.49 ) % 0.18/0.49 % SZS output end Proof % 0.18/0.49 % cvc5 exiting %------------------------------------------------------------------------------