%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL226-3 : 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 : n017.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 11:22:27 AM UTC 2026 % Result : Unsatisfiable 0.19s 0.53s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL226-3 : 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 % 0.11/0.37 % Computer : n017.cluster.edu % 0.11/0.37 % Model : x86_64 x86_64 % 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.37 % Memory : 8046.5625MB % 0.11/0.37 % OS : Linux 6.8.0-71-generic % 0.11/0.37 % CPULimit : 300 % 0.11/0.37 % WCLimit : 300 % 0.11/0.37 % DateTime : Sat Sep 5 11:40:37 UTC 2026 % 0.11/0.37 % CPUTime : % 0.11/0.45 %----Proving TF0_NAR, FOF, or CNF % 0.19/0.46 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.19/0.53 % SZS status Unsatisfiable % 0.19/0.53 % SZS output start Proof % 0.19/0.53 ( % 0.19/0.53 (declare-sort $$unsorted 0) % 0.19/0.53 (declare-const tptp.r $$unsorted) % 0.19/0.53 (declare-const tptp.s $$unsorted) % 0.19/0.53 (declare-const tptp.theorem (-> $$unsorted Bool)) % 0.19/0.53 (declare-const tptp.not (-> $$unsorted $$unsorted)) % 0.19/0.53 (declare-const tptp.q $$unsorted) % 0.19/0.53 (declare-const tptp.axiom (-> $$unsorted Bool)) % 0.19/0.53 (declare-const tptp.implies (-> $$unsorted $$unsorted $$unsorted)) % 0.19/0.53 (declare-const tptp.or (-> $$unsorted $$unsorted $$unsorted)) % 0.19/0.53 (define @t1 () (@var "A" $$unsorted)) % 0.19/0.53 (define @t2 () (@var "B" $$unsorted)) % 0.19/0.53 (define @t3 () (tptp.or @t2 @t1)) % 0.19/0.53 (define @t4 () (@list @t1 @t2)) % 0.19/0.53 (define @t5 () (@var "C" $$unsorted)) % 0.19/0.53 (define @t6 () (@list @t1 @t2 @t5)) % 0.19/0.53 (define @t7 () (@var "Y" $$unsorted)) % 0.19/0.53 (define @t8 () (@var "X" $$unsorted)) % 0.19/0.53 (define @t9 () (@list @t8 @t7)) % 0.19/0.53 (define @t10 () (forall @t9 (= (tptp.implies @t8 @t7) (tptp.or (tptp.not @t8) @t7)))) % 0.19/0.53 (define @t11 () (tptp.theorem @t8)) % 0.19/0.53 (define @t12 () (tptp.or tptp.q tptp.s)) % 0.19/0.53 (define @t13 () (tptp.or (tptp.not tptp.r) tptp.s)) % 0.19/0.53 (define @t14 () (tptp.implies @t13 @t12)) % 0.19/0.53 (define @t15 () (tptp.or tptp.q tptp.r)) % 0.19/0.53 (define @t16 () (tptp.implies tptp.r tptp.s)) % 0.19/0.53 (define @t17 () (= @t16 @t13)) % 0.19/0.53 (define @t18 () (= @t13 @t16)) % 0.19/0.53 (define @t19 () (@list false)) % 0.19/0.53 (define @t20 () (@list @t10)) % 0.19/0.53 (define @t21 () (tptp.implies @t15 @t12)) % 0.19/0.53 (define @t22 () (tptp.not @t15)) % 0.19/0.53 (define @t23 () (tptp.or @t22 @t12)) % 0.19/0.53 (define @t24 () (= @t21 @t23)) % 0.19/0.53 (define @t25 () (= @t23 @t21)) % 0.19/0.53 (define @t26 () (tptp.implies @t13 @t23)) % 0.19/0.53 (define @t27 () (tptp.not @t13)) % 0.19/0.53 (define @t28 () (tptp.or @t27 @t23)) % 0.19/0.53 (define @t29 () (= @t26 @t28)) % 0.19/0.53 (define @t30 () (= @t28 @t26)) % 0.19/0.53 (define @t31 () (tptp.or @t22 (tptp.or @t27 @t12))) % 0.19/0.53 (define @t32 () (tptp.implies @t28 @t31)) % 0.19/0.53 (define @t33 () (tptp.axiom @t32)) % 0.19/0.53 (define @t34 () (not @t33)) % 0.19/0.53 (define @t35 () (tptp.theorem @t32)) % 0.19/0.53 (define @t36 () (or @t35 @t34)) % 0.19/0.53 (define @t37 () (tptp.theorem @t31)) % 0.19/0.53 (define @t38 () (tptp.theorem @t28)) % 0.19/0.53 (define @t39 () (not @t38)) % 0.19/0.53 (define @t40 () (not @t35)) % 0.19/0.53 (define @t41 () (or @t37 @t40 @t39)) % 0.19/0.53 (define @t42 () (tptp.axiom @t28)) % 0.19/0.53 (define @t43 () (not @t42)) % 0.19/0.53 (define @t44 () (or @t38 @t43)) % 0.19/0.53 (define @t45 () (tptp.axiom (tptp.implies @t16 @t21))) % 0.19/0.53 (define @t46 () (and @t18 @t25 @t30 @t45)) % 0.19/0.53 (assume @p1 (forall (@list @t1) (tptp.axiom (tptp.implies (tptp.or @t1 @t1) @t1)))) % 0.19/0.53 (assume @p2 (forall @t4 (tptp.axiom (tptp.implies @t1 @t3)))) % 0.19/0.53 (assume @p3 (forall @t4 (tptp.axiom (tptp.implies (tptp.or @t1 @t2) @t3)))) % 0.19/0.53 (assume @p4 (forall @t6 (tptp.axiom (tptp.implies (tptp.or @t1 (tptp.or @t2 @t5)) (tptp.or @t2 (tptp.or @t1 @t5)))))) % 0.19/0.53 (assume @p5 (forall @t6 (tptp.axiom (tptp.implies (tptp.implies @t1 @t2) (tptp.implies (tptp.or @t5 @t1) (tptp.or @t5 @t2)))))) % 0.19/0.53 (assume @p6 @t10) % 0.19/0.53 (assume @p7 (forall (@list @t8) (or @t11 (not (tptp.axiom @t8))))) % 0.19/0.53 (assume @p8 (forall @t9 (or @t11 (not (tptp.theorem (tptp.implies @t7 @t8))) (not (tptp.theorem @t7))))) % 0.19/0.53 (assume @p9 (not (tptp.theorem (tptp.implies @t15 @t14)))) % 0.19/0.53 (step @p10 :rule eq-symm :args (@t16 @t13)) % 0.19/0.53 (step @p11 :rule refl :args (@t10)) % 0.19/0.53 (step @p12 :rule cong :premises (@p11 @p10) :args ((=> @t10 @t17))) % 0.19/0.53 (assume-push @p83 @t10) % 0.19/0.53 (step @p14 :rule instantiate :premises (@p6) :args ((@list tptp.r tptp.s))) % 0.19/0.53 (step-pop @p84 :rule scope :premises (@p14)) % 0.19/0.53 (step @p15 :rule process_scope :premises (@p84) :args (@t17)) % 0.19/0.53 (step @p17 :rule eq_resolve :premises (@p15 @p12)) % 0.19/0.53 (step @p18 :rule implies_elim :premises (@p17)) % 0.19/0.53 (step @p19 :rule chain_m_resolution :premises (@p18 @p6) :args (@t18 @t19 @t20)) % 0.19/0.53 (step @p20 :rule eq-symm :args (@t21 @t23)) % 0.19/0.53 (step @p21 :rule cong :premises (@p11 @p20) :args ((=> @t10 @t24))) % 0.19/0.53 (assume-push @p85 @t10) % 0.19/0.53 (step @p23 :rule instantiate :premises (@p6) :args ((@list @t15 @t12))) % 0.19/0.53 (step-pop @p86 :rule scope :premises (@p23)) % 0.19/0.53 (step @p24 :rule process_scope :premises (@p86) :args (@t24)) % 0.19/0.53 (step @p26 :rule eq_resolve :premises (@p24 @p21)) % 0.19/0.53 (step @p27 :rule implies_elim :premises (@p26)) % 0.19/0.53 (step @p28 :rule chain_m_resolution :premises (@p27 @p6) :args (@t25 @t19 @t20)) % 0.19/0.53 (step @p29 :rule eq-symm :args (@t26 @t28)) % 0.19/0.53 (step @p30 :rule cong :premises (@p11 @p29) :args ((=> @t10 @t29))) % 0.19/0.53 (assume-push @p87 @t10) % 0.19/0.53 (step @p32 :rule instantiate :premises (@p6) :args ((@list @t13 @t23))) % 0.19/0.53 (step-pop @p88 :rule scope :premises (@p32)) % 0.19/0.53 (step @p33 :rule process_scope :premises (@p88) :args (@t29)) % 0.19/0.53 (step @p35 :rule eq_resolve :premises (@p33 @p30)) % 0.19/0.53 (step @p36 :rule implies_elim :premises (@p35)) % 0.19/0.53 (step @p37 :rule chain_m_resolution :premises (@p36 @p6) :args (@t30 @t19 @t20)) % 0.19/0.53 (step @p38 :rule instantiate :premises (@p5) :args ((@list tptp.r tptp.s tptp.q))) % 0.19/0.53 (step @p39 :rule instantiate :premises (@p7) :args ((@list @t28))) % 0.19/0.53 (step @p40 :rule instantiate :premises (@p8) :args ((@list @t31 @t28))) % 0.19/0.53 (step @p41 :rule instantiate :premises (@p7) :args ((@list @t32))) % 0.19/0.53 (step @p42 :rule instantiate :premises (@p4) :args ((@list @t27 @t22 @t12))) % 0.19/0.53 (step @p43 :rule cnf_or_pos :args (@t36)) % 0.19/0.53 (step @p44 :rule reordering :premises (@p43) :args ((or @t34 @t35 (not @t36)))) % 0.19/0.53 (step @p45 :rule chain_m_resolution :premises (@p44 @p42 @p41) :args (@t35 (@list false false) (@list @t33 @t36))) % 0.19/0.53 (step @p46 :rule false_intro :premises (@p9)) % 0.19/0.53 (step @p47 :rule instantiate :premises (@p6) :args ((@list @t15 @t14))) % 0.19/0.53 (step @p48 :rule symm :premises (@p47)) % 0.19/0.53 (step @p49 :rule instantiate :premises (@p6) :args ((@list @t13 @t12))) % 0.19/0.53 (step @p50 :rule symm :premises (@p49)) % 0.19/0.53 (step @p51 :rule refl :args (@t22)) % 0.19/0.53 (step @p52 :rule cong :premises (@p51 @p50) :args (@t31)) % 0.19/0.53 (step @p53 :rule trans :premises (@p52 @p48)) % 0.19/0.53 (step @p54 :rule cong :premises (@p53) :args (@t37)) % 0.19/0.53 (step @p55 :rule trans :premises (@p54 @p46)) % 0.19/0.53 (step @p56 :rule false_elim :premises (@p55)) % 0.19/0.53 (step @p57 :rule cnf_or_pos :args (@t41)) % 0.19/0.53 (step @p58 :rule reordering :premises (@p57) :args ((or @t37 @t40 @t39 (not @t41)))) % 0.19/0.53 (step @p59 :rule chain_m_resolution :premises (@p58 @p56 @p45 @p40) :args (@t39 (@list true false false) (@list @t37 @t35 @t41))) % 0.19/0.53 (step @p60 :rule cnf_or_pos :args (@t44)) % 0.19/0.53 (step @p61 :rule reordering :premises (@p60) :args ((or @t38 @t43 (not @t44)))) % 0.19/0.53 (step @p62 :rule chain_m_resolution :premises (@p61 @p59 @p39) :args (@t43 (@list true false) (@list @t38 @t44))) % 0.19/0.53 (assume-push @p89 @t18) % 0.19/0.53 (assume-push @p90 @t25) % 0.19/0.53 (assume-push @p91 @t30) % 0.19/0.53 (assume-push @p92 @t45) % 0.19/0.53 (step @p67 :rule true_intro :premises (@p38)) % 0.19/0.53 (step @p68 :rule cong :premises (@p19 @p28) :args (@t26)) % 0.19/0.53 (step @p69 :rule trans :premises (@p37 @p68)) % 0.19/0.53 (step @p70 :rule cong :premises (@p69) :args (@t42)) % 0.19/0.53 (step @p71 :rule trans :premises (@p70 @p67)) % 0.19/0.53 (step @p72 :rule true_elim :premises (@p71)) % 0.19/0.53 (step-pop @p93 :rule scope :premises (@p72)) % 0.19/0.53 (step-pop @p94 :rule scope :premises (@p93)) % 0.19/0.53 (step-pop @p95 :rule scope :premises (@p94)) % 0.19/0.53 (step-pop @p96 :rule scope :premises (@p95)) % 0.19/0.53 (step @p73 :rule process_scope :premises (@p96) :args (@t42)) % 0.19/0.53 (step @p78 :rule implies_elim :premises (@p73)) % 0.19/0.53 (step @p79 :rule cnf_and_neg :args (@t46)) % 0.19/0.53 (step @p80 :rule resolution :premises (@p79 @p78) :args (true @t46)) % 0.19/0.53 (step @p81 :rule reordering :premises (@p80) :args ((or (not @t18) (not @t25) (not @t30) @t42 (not @t45)))) % 0.19/0.53 (step @p82 false :rule chain_m_resolution :premises (@p81 @p62 @p38 @p37 @p28 @p19) :args (false (@list true false false false false) (@list @t42 @t45 @t30 @t25 @t18))) % 0.19/0.53 ) % 0.19/0.54 % SZS output end Proof % 0.19/0.54 % cvc5 exiting %------------------------------------------------------------------------------