%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COL003-13 : TPTP v9.2.1. Released v2.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n006.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 08:09:42 AM UTC 2026 % Result : Unsatisfiable 0.38s 0.58s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COL003-13 : TPTP v9.2.1. Released v2.1.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n006.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 : Mon Jun 1 20:16:34 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.58 % SZS status Unsatisfiable % 0.38/0.58 % SZS output start Proof % 0.38/0.58 ( % 0.38/0.58 (declare-sort $$unsorted 0) % 0.38/0.58 (declare-const tptp.strong_fixed_point $$unsorted) % 0.38/0.58 (declare-const tptp.w $$unsorted) % 0.38/0.58 (declare-const tptp.fixed_pt $$unsorted) % 0.38/0.58 (declare-const tptp.b $$unsorted) % 0.38/0.58 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (define @t1 () (@var "Z" $$unsorted)) % 0.38/0.58 (define @t2 () (@var "Y" $$unsorted)) % 0.38/0.58 (define @t3 () (@var "X" $$unsorted)) % 0.38/0.58 (define @t4 () (forall (@list @t3 @t2 @t1) (= (tptp.apply (tptp.apply (tptp.apply tptp.b @t3) @t2) @t1) (tptp.apply @t3 (tptp.apply @t2 @t1))))) % 0.38/0.58 (define @t5 () (tptp.apply tptp.b tptp.w)) % 0.38/0.58 (define @t6 () (tptp.apply @t5 tptp.b)) % 0.38/0.58 (define @t7 () (tptp.apply (tptp.apply tptp.b @t6) tptp.b)) % 0.38/0.58 (define @t8 () (tptp.apply tptp.w tptp.w)) % 0.38/0.58 (define @t9 () (tptp.apply (tptp.apply tptp.b @t8) @t7)) % 0.38/0.58 (define @t10 () (= tptp.strong_fixed_point @t9)) % 0.38/0.58 (define @t11 () (tptp.apply tptp.strong_fixed_point tptp.fixed_pt)) % 0.38/0.58 (define @t12 () (= @t11 (tptp.apply tptp.fixed_pt @t11))) % 0.38/0.58 (define @t13 () (tptp.apply @t7 tptp.fixed_pt)) % 0.38/0.58 (define @t14 () (tptp.apply tptp.b tptp.fixed_pt)) % 0.38/0.58 (define @t15 () (tptp.apply (tptp.apply tptp.b tptp.b) tptp.b)) % 0.38/0.58 (define @t16 () (tptp.apply @t15 tptp.fixed_pt)) % 0.38/0.58 (define @t17 () (tptp.apply tptp.b @t14)) % 0.38/0.58 (define @t18 () (= @t16 @t17)) % 0.38/0.58 (define @t19 () (@list tptp.b tptp.b tptp.fixed_pt)) % 0.38/0.58 (define @t20 () (= @t17 @t16)) % 0.38/0.58 (define @t21 () (@list false)) % 0.38/0.58 (define @t22 () (@list @t4)) % 0.38/0.58 (define @t23 () (tptp.apply @t13 @t13)) % 0.38/0.58 (define @t24 () (tptp.apply (tptp.apply @t17 @t13) @t13)) % 0.38/0.58 (define @t25 () (tptp.apply @t14 @t23)) % 0.38/0.58 (define @t26 () (= @t24 @t25)) % 0.38/0.58 (define @t27 () (@list @t14 @t13 @t13)) % 0.38/0.58 (define @t28 () (= @t25 @t24)) % 0.38/0.58 (define @t29 () (tptp.apply @t8 @t13)) % 0.38/0.58 (define @t30 () (tptp.apply @t9 tptp.fixed_pt)) % 0.38/0.58 (define @t31 () (= @t30 @t29)) % 0.38/0.58 (define @t32 () (tptp.apply @t6 @t14)) % 0.38/0.58 (define @t33 () (= @t13 @t32)) % 0.38/0.58 (define @t34 () (tptp.apply (tptp.apply tptp.w @t13) @t13)) % 0.38/0.58 (define @t35 () (= @t29 @t34)) % 0.38/0.58 (define @t36 () (tptp.apply tptp.w @t17)) % 0.38/0.58 (define @t37 () (= @t32 @t36)) % 0.38/0.58 (define @t38 () (tptp.apply @t23 @t13)) % 0.38/0.58 (define @t39 () (= @t34 @t38)) % 0.38/0.58 (define @t40 () (tptp.apply tptp.fixed_pt @t38)) % 0.38/0.58 (define @t41 () (= (tptp.apply @t25 @t13) @t40)) % 0.38/0.58 (define @t42 () (tptp.apply tptp.w @t16)) % 0.38/0.58 (define @t43 () (tptp.apply (tptp.apply @t5 @t15) tptp.fixed_pt)) % 0.38/0.58 (define @t44 () (= @t43 @t42)) % 0.38/0.58 (define @t45 () (= (tptp.apply @t36 @t13) @t24)) % 0.38/0.58 (define @t46 () (and @t10 @t31 @t33 @t35 @t37 @t20 @t39 @t41 @t44 @t45 @t28)) % 0.38/0.58 (assume @p1 @t4) % 0.38/0.58 (assume @p2 (forall (@list @t3 @t2) (= (tptp.apply (tptp.apply tptp.w @t3) @t2) (tptp.apply (tptp.apply @t3 @t2) @t2)))) % 0.38/0.58 (assume @p3 @t10) % 0.38/0.58 (assume @p4 (not @t12)) % 0.38/0.58 (step @p5 :rule instantiate :premises (@p1) :args ((@list @t8 @t7 tptp.fixed_pt))) % 0.38/0.58 (step @p6 :rule instantiate :premises (@p1) :args ((@list @t6 tptp.b tptp.fixed_pt))) % 0.38/0.58 (step @p7 :rule instantiate :premises (@p2) :args ((@list tptp.w @t13))) % 0.38/0.58 (step @p8 :rule instantiate :premises (@p1) :args ((@list tptp.w tptp.b @t14))) % 0.38/0.58 (step @p9 :rule eq-symm :args (@t16 @t17)) % 0.38/0.58 (step @p10 :rule refl :args (@t4)) % 0.38/0.58 (step @p11 :rule cong :premises (@p10 @p9) :args ((=> @t4 @t18))) % 0.38/0.58 (assume-push @p85 @t4) % 0.38/0.58 (step @p13 :rule instantiate :premises (@p1) :args (@t19)) % 0.38/0.58 (step-pop @p86 :rule scope :premises (@p13)) % 0.38/0.58 (step @p14 :rule process_scope :premises (@p86) :args (@t18)) % 0.38/0.58 (step @p16 :rule eq_resolve :premises (@p14 @p11)) % 0.38/0.58 (step @p17 :rule implies_elim :premises (@p16)) % 0.38/0.58 (step @p18 :rule chain_m_resolution :premises (@p17 @p1) :args (@t20 @t21 @t22)) % 0.38/0.58 (step @p19 :rule instantiate :premises (@p2) :args ((@list @t13 @t13))) % 0.38/0.58 (step @p20 :rule instantiate :premises (@p1) :args ((@list tptp.fixed_pt @t23 @t13))) % 0.38/0.58 (step @p21 :rule instantiate :premises (@p1) :args ((@list tptp.w @t15 tptp.fixed_pt))) % 0.38/0.58 (step @p22 :rule instantiate :premises (@p2) :args ((@list @t17 @t13))) % 0.38/0.58 (step @p23 :rule eq-symm :args (@t24 @t25)) % 0.38/0.58 (step @p24 :rule cong :premises (@p10 @p23) :args ((=> @t4 @t26))) % 0.38/0.58 (assume-push @p87 @t4) % 0.38/0.58 (step @p26 :rule instantiate :premises (@p1) :args (@t27)) % 0.38/0.58 (step-pop @p88 :rule scope :premises (@p26)) % 0.38/0.58 (step @p27 :rule process_scope :premises (@p88) :args (@t26)) % 0.38/0.58 (step @p29 :rule eq_resolve :premises (@p27 @p24)) % 0.38/0.58 (step @p30 :rule implies_elim :premises (@p29)) % 0.38/0.58 (step @p31 :rule chain_m_resolution :premises (@p30 @p1) :args (@t28 @t21 @t22)) % 0.38/0.58 (assume-push @p89 @t10) % 0.38/0.58 (assume-push @p90 @t31) % 0.38/0.58 (assume-push @p91 @t33) % 0.38/0.58 (assume-push @p92 @t35) % 0.38/0.58 (assume-push @p93 @t37) % 0.38/0.58 (assume-push @p94 @t20) % 0.38/0.58 (assume-push @p95 @t39) % 0.38/0.58 (assume-push @p96 @t41) % 0.38/0.58 (assume-push @p97 @t44) % 0.38/0.58 (assume-push @p98 @t45) % 0.38/0.58 (assume-push @p99 @t28) % 0.38/0.58 (step @p43 :rule refl :args (tptp.fixed_pt)) % 0.38/0.58 (step @p44 :rule symm :premises (@p3)) % 0.38/0.58 (step @p45 :rule cong :premises (@p44 @p43) :args (@t30)) % 0.38/0.58 (step @p46 :rule symm :premises (@p5)) % 0.38/0.58 (step @p47 :rule trans :premises (@p46 @p45)) % 0.38/0.58 (step @p48 :rule cong :premises (@p43 @p47) :args ((tptp.apply tptp.fixed_pt @t29))) % 0.38/0.58 (step @p49 :rule symm :premises (@p7)) % 0.38/0.58 (step @p50 :rule symm :premises (@p19)) % 0.38/0.58 (step @p51 :rule trans :premises (@p50 @p49)) % 0.38/0.58 (step @p52 :rule cong :premises (@p43 @p51) :args (@t40)) % 0.38/0.58 (step @p53 :rule symm :premises (@p6)) % 0.38/0.58 (step @p54 :rule symm :premises (@p8)) % 0.38/0.58 (step @p13 :rule instantiate :premises (@p1) :args (@t19)) % 0.38/0.58 (step @p55 :rule refl :args (tptp.w)) % 0.38/0.58 (step @p56 :rule cong :premises (@p55 @p13) :args (@t42)) % 0.38/0.58 (step @p57 :rule trans :premises (@p21 @p56 @p54 @p53)) % 0.38/0.58 (step @p26 :rule instantiate :premises (@p1) :args (@t27)) % 0.38/0.58 (step @p58 :rule refl :args (@t13)) % 0.38/0.58 (step @p59 :rule trans :premises (@p6 @p8)) % 0.38/0.58 (step @p60 :rule cong :premises (@p59 @p58) :args (@t23)) % 0.38/0.58 (step @p61 :rule trans :premises (@p60 @p22 @p26)) % 0.38/0.58 (step @p62 :rule cong :premises (@p61 @p57) :args ((tptp.apply @t23 @t43))) % 0.38/0.58 (step @p63 :rule symm :premises (@p57)) % 0.38/0.58 (step @p64 :rule refl :args (@t23)) % 0.38/0.58 (step @p65 :rule cong :premises (@p64 @p63) :args (@t38)) % 0.38/0.58 (step @p66 :rule symm :premises (@p45)) % 0.38/0.58 (step @p67 :rule trans :premises (@p66 @p5 @p7 @p19 @p65 @p62 @p20 @p52 @p48)) % 0.38/0.58 (step-pop @p100 :rule scope :premises (@p67)) % 0.38/0.58 (step-pop @p101 :rule scope :premises (@p100)) % 0.38/0.58 (step-pop @p102 :rule scope :premises (@p101)) % 0.38/0.58 (step-pop @p103 :rule scope :premises (@p102)) % 0.38/0.58 (step-pop @p104 :rule scope :premises (@p103)) % 0.38/0.58 (step-pop @p105 :rule scope :premises (@p104)) % 0.38/0.58 (step-pop @p106 :rule scope :premises (@p105)) % 0.38/0.59 (step-pop @p107 :rule scope :premises (@p106)) % 0.38/0.59 (step-pop @p108 :rule scope :premises (@p107)) % 0.38/0.59 (step-pop @p109 :rule scope :premises (@p108)) % 0.38/0.59 (step-pop @p110 :rule scope :premises (@p109)) % 0.38/0.59 (step @p68 :rule process_scope :premises (@p110) :args (@t12)) % 0.38/0.59 (step @p80 :rule implies_elim :premises (@p68)) % 0.38/0.59 (step @p81 :rule cnf_and_neg :args (@t46)) % 0.38/0.59 (step @p82 :rule resolution :premises (@p81 @p80) :args (true @t46)) % 0.38/0.59 (step @p83 :rule reordering :premises (@p82) :args ((or @t12 (not @t10) (not @t31) (not @t33) (not @t35) (not @t37) (not @t20) (not @t39) (not @t41) (not @t44) (not @t45) (not @t28)))) % 0.38/0.59 (step @p84 false :rule chain_m_resolution :premises (@p83 @p31 @p22 @p21 @p20 @p19 @p18 @p8 @p7 @p6 @p5 @p4 @p3) :args (false (@list false false false false false false false false false false true false) (@list @t28 @t45 @t44 @t41 @t39 @t20 @t37 @t35 @t33 @t31 @t12 @t10))) % 0.38/0.59 ) % 0.38/0.59 % SZS output end Proof % 0.38/0.59 % cvc5 exiting %------------------------------------------------------------------------------