%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COL003-16 : 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 : n009.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 0.44s 0.64s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COL003-16 : TPTP v9.2.1. Released v2.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n009.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Mon Jun 1 20:16:44 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.44/0.64 % SZS status Unsatisfiable % 0.44/0.64 % SZS output start Proof % 0.44/0.65 ( % 0.44/0.65 (declare-sort $$unsorted 0) % 0.44/0.65 (declare-const tptp.strong_fixed_point $$unsorted) % 0.44/0.65 (declare-const tptp.w $$unsorted) % 0.44/0.65 (declare-const tptp.fixed_pt $$unsorted) % 0.44/0.65 (declare-const tptp.b $$unsorted) % 0.44/0.65 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.65 (define @t1 () (@var "Z" $$unsorted)) % 0.44/0.65 (define @t2 () (@var "Y" $$unsorted)) % 0.44/0.65 (define @t3 () (@var "X" $$unsorted)) % 0.44/0.65 (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))))) % 0.44/0.65 (define @t5 () (tptp.apply tptp.w tptp.w)) % 0.44/0.65 (define @t6 () (tptp.apply (tptp.apply tptp.b @t5) tptp.w)) % 0.44/0.65 (define @t7 () (tptp.apply (tptp.apply tptp.b @t6) tptp.b)) % 0.44/0.65 (define @t8 () (tptp.apply (tptp.apply tptp.b @t7) tptp.b)) % 0.44/0.65 (define @t9 () (= tptp.strong_fixed_point @t8)) % 0.44/0.65 (define @t10 () (tptp.apply tptp.strong_fixed_point tptp.fixed_pt)) % 0.44/0.65 (define @t11 () (= @t10 (tptp.apply tptp.fixed_pt @t10))) % 0.44/0.65 (define @t12 () (tptp.apply tptp.b tptp.fixed_pt)) % 0.44/0.65 (define @t13 () (tptp.apply tptp.b @t12)) % 0.44/0.65 (define @t14 () (tptp.apply (tptp.apply tptp.b tptp.w) tptp.b)) % 0.44/0.65 (define @t15 () (tptp.apply @t14 @t12)) % 0.44/0.65 (define @t16 () (tptp.apply tptp.w @t13)) % 0.44/0.65 (define @t17 () (= @t15 @t16)) % 0.44/0.65 (define @t18 () (@list tptp.w tptp.b @t12)) % 0.44/0.65 (define @t19 () (= @t16 @t15)) % 0.44/0.65 (define @t20 () (@list false)) % 0.44/0.65 (define @t21 () (@list @t4)) % 0.44/0.65 (define @t22 () (tptp.apply (tptp.apply (tptp.apply tptp.b @t14) tptp.b) tptp.fixed_pt)) % 0.44/0.65 (define @t23 () (= @t22 @t15)) % 0.44/0.65 (define @t24 () (@list @t14 tptp.b tptp.fixed_pt)) % 0.44/0.65 (define @t25 () (= @t15 @t22)) % 0.44/0.65 (define @t26 () (tptp.apply @t16 @t16)) % 0.44/0.65 (define @t27 () (tptp.apply (tptp.apply @t13 @t16) @t16)) % 0.44/0.65 (define @t28 () (tptp.apply @t12 @t26)) % 0.44/0.65 (define @t29 () (= @t27 @t28)) % 0.44/0.65 (define @t30 () (@list @t12 @t16 @t16)) % 0.44/0.65 (define @t31 () (= @t28 @t27)) % 0.44/0.65 (define @t32 () (tptp.apply @t7 @t12)) % 0.44/0.65 (define @t33 () (tptp.apply @t8 tptp.fixed_pt)) % 0.44/0.65 (define @t34 () (= @t33 @t32)) % 0.44/0.65 (define @t35 () (tptp.apply @t6 @t13)) % 0.44/0.65 (define @t36 () (= @t32 @t35)) % 0.44/0.65 (define @t37 () (tptp.apply @t5 @t16)) % 0.44/0.65 (define @t38 () (= @t35 @t37)) % 0.44/0.65 (define @t39 () (tptp.apply (tptp.apply tptp.w @t16) @t16)) % 0.44/0.65 (define @t40 () (= @t37 @t39)) % 0.44/0.65 (define @t41 () (tptp.apply @t26 @t16)) % 0.44/0.65 (define @t42 () (= @t39 @t41)) % 0.44/0.65 (define @t43 () (tptp.apply tptp.fixed_pt @t41)) % 0.44/0.65 (define @t44 () (= (tptp.apply @t28 @t16) @t43)) % 0.44/0.65 (define @t45 () (= @t26 @t27)) % 0.44/0.65 (define @t46 () (and @t9 @t34 @t36 @t38 @t19 @t40 @t25 @t42 @t44 @t45 @t31)) % 0.44/0.65 (assume @p1 @t4) % 0.44/0.65 (assume @p2 (forall (@list @t3 @t2) (= (tptp.apply (tptp.apply tptp.w @t3) @t2) (tptp.apply (tptp.apply @t3 @t2) @t2)))) % 0.44/0.65 (assume @p3 @t9) % 0.44/0.65 (assume @p4 (not @t11)) % 0.44/0.65 (step @p5 :rule instantiate :premises (@p1) :args ((@list @t7 tptp.b tptp.fixed_pt))) % 0.44/0.65 (step @p6 :rule instantiate :premises (@p1) :args ((@list @t6 tptp.b @t12))) % 0.44/0.65 (step @p7 :rule instantiate :premises (@p1) :args ((@list @t5 tptp.w @t13))) % 0.44/0.65 (step @p8 :rule eq-symm :args (@t15 @t16)) % 0.44/0.65 (step @p9 :rule refl :args (@t4)) % 0.44/0.65 (step @p10 :rule cong :premises (@p9 @p8) :args ((=> @t4 @t17))) % 0.44/0.65 (assume-push @p88 @t4) % 0.44/0.65 (step @p12 :rule instantiate :premises (@p1) :args (@t18)) % 0.44/0.65 (step-pop @p89 :rule scope :premises (@p12)) % 0.44/0.65 (step @p13 :rule process_scope :premises (@p89) :args (@t17)) % 0.44/0.65 (step @p15 :rule eq_resolve :premises (@p13 @p10)) % 0.44/0.65 (step @p16 :rule implies_elim :premises (@p15)) % 0.44/0.65 (step @p17 :rule chain_m_resolution :premises (@p16 @p1) :args (@t19 @t20 @t21)) % 0.44/0.65 (step @p18 :rule instantiate :premises (@p2) :args ((@list tptp.w @t16))) % 0.44/0.65 (step @p19 :rule eq-symm :args (@t22 @t15)) % 0.44/0.65 (step @p20 :rule cong :premises (@p9 @p19) :args ((=> @t4 @t23))) % 0.44/0.65 (assume-push @p90 @t4) % 0.44/0.65 (step @p22 :rule instantiate :premises (@p1) :args (@t24)) % 0.44/0.65 (step-pop @p91 :rule scope :premises (@p22)) % 0.44/0.65 (step @p23 :rule process_scope :premises (@p91) :args (@t23)) % 0.44/0.65 (step @p25 :rule eq_resolve :premises (@p23 @p20)) % 0.44/0.65 (step @p26 :rule implies_elim :premises (@p25)) % 0.44/0.65 (step @p27 :rule chain_m_resolution :premises (@p26 @p1) :args (@t25 @t20 @t21)) % 0.44/0.65 (step @p28 :rule instantiate :premises (@p2) :args ((@list @t16 @t16))) % 0.44/0.65 (step @p29 :rule instantiate :premises (@p1) :args ((@list tptp.fixed_pt @t26 @t16))) % 0.44/0.65 (step @p30 :rule instantiate :premises (@p2) :args ((@list @t13 @t16))) % 0.44/0.65 (step @p31 :rule eq-symm :args (@t27 @t28)) % 0.44/0.65 (step @p32 :rule cong :premises (@p9 @p31) :args ((=> @t4 @t29))) % 0.44/0.65 (assume-push @p92 @t4) % 0.44/0.65 (step @p34 :rule instantiate :premises (@p1) :args (@t30)) % 0.44/0.65 (step-pop @p93 :rule scope :premises (@p34)) % 0.44/0.65 (step @p35 :rule process_scope :premises (@p93) :args (@t29)) % 0.44/0.65 (step @p37 :rule eq_resolve :premises (@p35 @p32)) % 0.44/0.65 (step @p38 :rule implies_elim :premises (@p37)) % 0.44/0.65 (step @p39 :rule chain_m_resolution :premises (@p38 @p1) :args (@t31 @t20 @t21)) % 0.44/0.65 (assume-push @p94 @t9) % 0.44/0.65 (assume-push @p95 @t34) % 0.44/0.65 (assume-push @p96 @t36) % 0.44/0.65 (assume-push @p97 @t38) % 0.44/0.65 (assume-push @p98 @t19) % 0.44/0.65 (assume-push @p99 @t40) % 0.44/0.65 (assume-push @p100 @t25) % 0.44/0.65 (assume-push @p101 @t42) % 0.44/0.65 (assume-push @p102 @t44) % 0.44/0.65 (assume-push @p103 @t45) % 0.44/0.65 (assume-push @p104 @t31) % 0.44/0.65 (step @p51 :rule refl :args (tptp.fixed_pt)) % 0.44/0.65 (step @p52 :rule symm :premises (@p3)) % 0.44/0.65 (step @p53 :rule cong :premises (@p52 @p51) :args (@t33)) % 0.44/0.65 (step @p54 :rule symm :premises (@p5)) % 0.44/0.65 (step @p55 :rule trans :premises (@p54 @p53)) % 0.44/0.65 (step @p56 :rule cong :premises (@p51 @p55) :args ((tptp.apply tptp.fixed_pt @t32))) % 0.44/0.65 (step @p57 :rule symm :premises (@p6)) % 0.44/0.65 (step @p58 :rule symm :premises (@p7)) % 0.44/0.65 (step @p59 :rule symm :premises (@p18)) % 0.44/0.65 (step @p60 :rule symm :premises (@p28)) % 0.44/0.65 (step @p61 :rule trans :premises (@p60 @p59 @p58 @p57)) % 0.44/0.65 (step @p62 :rule cong :premises (@p51 @p61) :args (@t43)) % 0.44/0.65 (step @p12 :rule instantiate :premises (@p1) :args (@t18)) % 0.44/0.65 (step @p22 :rule instantiate :premises (@p1) :args (@t24)) % 0.44/0.65 (step @p63 :rule trans :premises (@p22 @p12)) % 0.44/0.65 (step @p34 :rule instantiate :premises (@p1) :args (@t30)) % 0.44/0.65 (step @p64 :rule trans :premises (@p30 @p34)) % 0.44/0.65 (step @p65 :rule cong :premises (@p64 @p63) :args ((tptp.apply @t26 @t22))) % 0.44/0.65 (step @p66 :rule symm :premises (@p63)) % 0.44/0.65 (step @p67 :rule refl :args (@t26)) % 0.44/0.65 (step @p68 :rule cong :premises (@p67 @p66) :args (@t41)) % 0.44/0.65 (step @p69 :rule symm :premises (@p53)) % 0.44/0.65 (step @p70 :rule trans :premises (@p69 @p5 @p6 @p7 @p18 @p28 @p68 @p65 @p29 @p62 @p56)) % 0.44/0.65 (step-pop @p105 :rule scope :premises (@p70)) % 0.44/0.65 (step-pop @p106 :rule scope :premises (@p105)) % 0.44/0.65 (step-pop @p107 :rule scope :premises (@p106)) % 0.44/0.65 (step-pop @p108 :rule scope :premises (@p107)) % 0.44/0.65 (step-pop @p109 :rule scope :premises (@p108)) % 0.44/0.65 (step-pop @p110 :rule scope :premises (@p109)) % 0.44/0.65 (step-pop @p111 :rule scope :premises (@p110)) % 0.44/0.65 (step-pop @p112 :rule scope :premises (@p111)) % 0.44/0.65 (step-pop @p113 :rule scope :premises (@p112)) % 0.44/0.65 (step-pop @p114 :rule scope :premises (@p113)) % 0.44/0.65 (step-pop @p115 :rule scope :premises (@p114)) % 0.44/0.65 (step @p71 :rule process_scope :premises (@p115) :args (@t11)) % 0.44/0.65 (step @p83 :rule implies_elim :premises (@p71)) % 0.44/0.65 (step @p84 :rule cnf_and_neg :args (@t46)) % 0.44/0.65 (step @p85 :rule resolution :premises (@p84 @p83) :args (true @t46)) % 0.44/0.65 (step @p86 :rule reordering :premises (@p85) :args ((or @t11 (not @t9) (not @t34) (not @t36) (not @t38) (not @t19) (not @t40) (not @t25) (not @t42) (not @t44) (not @t45) (not @t31)))) % 0.44/0.65 (step @p87 false :rule chain_m_resolution :premises (@p86 @p39 @p30 @p29 @p28 @p27 @p18 @p17 @p7 @p6 @p5 @p4 @p3) :args (false (@list false false false false false false false false false false true false) (@list @t31 @t45 @t44 @t42 @t25 @t40 @t19 @t38 @t36 @t34 @t11 @t9))) % 0.44/0.65 ) % 0.44/0.65 % SZS output end Proof % 0.44/0.65 % cvc5 exiting %------------------------------------------------------------------------------