%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COL042-8 : 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 : n027.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 08:09:48 AM UTC 2026 % Result : Unsatisfiable 0.39s 0.62s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COL042-8 : 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 % 0.18/0.34 % Computer : n027.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Mon Jun 1 20:12:07 EDT 2026 % 0.18/0.34 % CPUTime : % 0.32/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.62 % SZS status Unsatisfiable % 0.39/0.62 % SZS output start Proof % 0.39/0.62 ( % 0.39/0.62 (declare-sort $$unsorted 0) % 0.39/0.62 (declare-const tptp.fixed_pt $$unsorted) % 0.39/0.62 (declare-const tptp.strong_fixed_point $$unsorted) % 0.39/0.62 (declare-const tptp.w1 $$unsorted) % 0.39/0.62 (declare-const tptp.b $$unsorted) % 0.39/0.62 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.62 (define @t1 () (@var "Z" $$unsorted)) % 0.39/0.62 (define @t2 () (@var "Y" $$unsorted)) % 0.39/0.62 (define @t3 () (@var "X" $$unsorted)) % 0.39/0.62 (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))))) % 0.39/0.62 (define @t5 () (tptp.apply tptp.b tptp.w1)) % 0.39/0.62 (define @t6 () (tptp.apply (tptp.apply tptp.b @t5) tptp.b)) % 0.39/0.62 (define @t7 () (tptp.apply tptp.w1 tptp.w1)) % 0.39/0.62 (define @t8 () (tptp.apply (tptp.apply tptp.b @t7) @t6)) % 0.39/0.62 (define @t9 () (tptp.apply (tptp.apply tptp.b @t8) tptp.b)) % 0.39/0.62 (define @t10 () (= tptp.strong_fixed_point @t9)) % 0.39/0.62 (define @t11 () (tptp.apply tptp.strong_fixed_point tptp.fixed_pt)) % 0.39/0.62 (define @t12 () (= @t11 (tptp.apply tptp.fixed_pt @t11))) % 0.39/0.62 (define @t13 () (not @t12)) % 0.39/0.62 (define @t14 () (tptp.apply tptp.b tptp.fixed_pt)) % 0.39/0.62 (define @t15 () (tptp.apply @t6 @t14)) % 0.39/0.62 (define @t16 () (tptp.apply tptp.b @t14)) % 0.39/0.62 (define @t17 () (tptp.apply @t16 tptp.w1)) % 0.39/0.62 (define @t18 () (tptp.apply tptp.w1 @t17)) % 0.39/0.62 (define @t19 () (tptp.apply @t17 @t17)) % 0.39/0.62 (define @t20 () (tptp.apply @t14 @t18)) % 0.39/0.62 (define @t21 () (= @t19 @t20)) % 0.39/0.62 (define @t22 () (@list @t14 tptp.w1 @t17)) % 0.39/0.62 (define @t23 () (= @t20 @t19)) % 0.39/0.62 (define @t24 () (tptp.apply @t19 @t17)) % 0.39/0.62 (define @t25 () (tptp.apply @t18 @t17)) % 0.39/0.62 (define @t26 () (= @t25 @t24)) % 0.39/0.62 (define @t27 () (not @t26)) % 0.39/0.62 (define @t28 () (not @t23)) % 0.39/0.62 (define @t29 () (tptp.apply tptp.fixed_pt @t25)) % 0.39/0.62 (define @t30 () (= (tptp.apply @t20 @t17) @t29)) % 0.39/0.62 (define @t31 () (not @t30)) % 0.39/0.62 (define @t32 () (tptp.apply @t18 tptp.w1)) % 0.39/0.62 (define @t33 () (= @t32 @t25)) % 0.39/0.62 (define @t34 () (not @t33)) % 0.39/0.62 (define @t35 () (tptp.apply @t5 @t16)) % 0.39/0.62 (define @t36 () (tptp.apply @t35 tptp.w1)) % 0.39/0.62 (define @t37 () (= @t36 @t18)) % 0.39/0.62 (define @t38 () (not @t37)) % 0.39/0.62 (define @t39 () (tptp.apply @t7 @t15)) % 0.39/0.62 (define @t40 () (= @t39 (tptp.apply (tptp.apply @t15 tptp.w1) tptp.w1))) % 0.39/0.62 (define @t41 () (not @t40)) % 0.39/0.62 (define @t42 () (= @t15 @t35)) % 0.39/0.62 (define @t43 () (not @t42)) % 0.39/0.62 (define @t44 () (tptp.apply @t8 @t14)) % 0.39/0.62 (define @t45 () (= @t44 @t39)) % 0.39/0.62 (define @t46 () (not @t45)) % 0.39/0.62 (define @t47 () (tptp.apply @t9 tptp.fixed_pt)) % 0.39/0.62 (define @t48 () (= @t47 @t44)) % 0.39/0.62 (define @t49 () (not @t48)) % 0.39/0.62 (define @t50 () (not @t10)) % 0.39/0.62 (define @t51 () (and @t10 @t13 @t48 @t45 @t42 @t40 @t37 @t33 @t30 @t23)) % 0.39/0.62 (assume @p1 @t4) % 0.39/0.62 (assume @p2 (forall (@list @t3 @t2) (= (tptp.apply (tptp.apply tptp.w1 @t3) @t2) (tptp.apply (tptp.apply @t2 @t3) @t3)))) % 0.39/0.62 (assume @p3 @t10) % 0.39/0.62 (assume @p4 @t13) % 0.39/0.62 (step @p5 :rule instantiate :premises (@p1) :args ((@list @t8 tptp.b tptp.fixed_pt))) % 0.39/0.62 (step @p6 :rule instantiate :premises (@p1) :args ((@list @t7 @t6 @t14))) % 0.39/0.62 (step @p7 :rule instantiate :premises (@p1) :args ((@list @t5 tptp.b @t14))) % 0.39/0.62 (step @p8 :rule instantiate :premises (@p2) :args ((@list tptp.w1 @t15))) % 0.39/0.62 (step @p9 :rule instantiate :premises (@p1) :args ((@list tptp.w1 @t16 tptp.w1))) % 0.39/0.62 (step @p10 :rule instantiate :premises (@p2) :args ((@list @t17 tptp.w1))) % 0.39/0.62 (step @p11 :rule instantiate :premises (@p1) :args ((@list tptp.fixed_pt @t18 @t17))) % 0.39/0.62 (step @p12 :rule eq-symm :args (@t19 @t20)) % 0.39/0.62 (step @p13 :rule refl :args (@t4)) % 0.39/0.62 (step @p14 :rule cong :premises (@p13 @p12) :args ((=> @t4 @t21))) % 0.39/0.62 (assume-push @p87 @t4) % 0.39/0.62 (step @p16 :rule instantiate :premises (@p1) :args (@t22)) % 0.39/0.62 (step-pop @p88 :rule scope :premises (@p16)) % 0.39/0.62 (step @p17 :rule process_scope :premises (@p88) :args (@t21)) % 0.39/0.62 (step @p19 :rule eq_resolve :premises (@p17 @p14)) % 0.39/0.62 (step @p20 :rule implies_elim :premises (@p19)) % 0.39/0.62 (step @p21 :rule chain_m_resolution :premises (@p20 @p1) :args (@t23 (@list false) (@list @t4))) % 0.39/0.62 (step @p22 :rule instantiate :premises (@p2) :args ((@list @t17 @t17))) % 0.39/0.62 (step @p23 :rule refl :args (@t27)) % 0.39/0.62 (step @p24 :rule refl :args (@t28)) % 0.39/0.62 (step @p25 :rule refl :args (@t31)) % 0.39/0.62 (step @p26 :rule refl :args (@t34)) % 0.39/0.62 (step @p27 :rule refl :args (@t38)) % 0.39/0.62 (step @p28 :rule refl :args (@t41)) % 0.39/0.62 (step @p29 :rule refl :args (@t43)) % 0.39/0.62 (step @p30 :rule refl :args (@t46)) % 0.39/0.62 (step @p31 :rule refl :args (@t49)) % 0.39/0.62 (step @p32 :rule bool-double-not-elim :args (@t12)) % 0.39/0.62 (step @p33 :rule refl :args (@t50)) % 0.39/0.62 (step @p34 :rule nary_cong :premises (@p33 @p32 @p31 @p30 @p29 @p28 @p27 @p26 @p25 @p24 @p23) :args ((or @t50 (not @t13) @t49 @t46 @t43 @t41 @t38 @t34 @t31 @t28 @t27))) % 0.39/0.62 (assume-push @p89 @t10) % 0.39/0.62 (assume-push @p90 @t13) % 0.39/0.62 (assume-push @p91 @t48) % 0.39/0.62 (assume-push @p92 @t45) % 0.39/0.62 (assume-push @p93 @t42) % 0.39/0.62 (assume-push @p94 @t40) % 0.39/0.62 (assume-push @p95 @t37) % 0.39/0.62 (assume-push @p96 @t33) % 0.39/0.62 (assume-push @p97 @t30) % 0.39/0.62 (assume-push @p98 @t23) % 0.39/0.62 (step @p45 :rule false_intro :premises (@p4)) % 0.39/0.62 (step @p46 :rule refl :args (tptp.fixed_pt)) % 0.39/0.62 (step @p47 :rule symm :premises (@p3)) % 0.39/0.62 (step @p48 :rule cong :premises (@p47 @p46) :args (@t47)) % 0.39/0.62 (step @p49 :rule symm :premises (@p5)) % 0.39/0.62 (step @p50 :rule trans :premises (@p49 @p48)) % 0.39/0.62 (step @p51 :rule cong :premises (@p46 @p50) :args ((tptp.apply tptp.fixed_pt @t44))) % 0.39/0.62 (step @p52 :rule symm :premises (@p6)) % 0.39/0.62 (step @p53 :rule symm :premises (@p8)) % 0.39/0.62 (step @p54 :rule refl :args (tptp.w1)) % 0.39/0.62 (step @p55 :rule symm :premises (@p7)) % 0.39/0.62 (step @p56 :rule cong :premises (@p55 @p54) :args (@t36)) % 0.39/0.62 (step @p57 :rule symm :premises (@p9)) % 0.39/0.62 (step @p58 :rule trans :premises (@p57 @p56)) % 0.39/0.62 (step @p59 :rule cong :premises (@p58 @p54) :args (@t32)) % 0.39/0.62 (step @p60 :rule symm :premises (@p10)) % 0.39/0.62 (step @p61 :rule trans :premises (@p60 @p59 @p53 @p52)) % 0.39/0.62 (step @p62 :rule cong :premises (@p46 @p61) :args (@t29)) % 0.39/0.62 (step @p63 :rule refl :args (@t17)) % 0.39/0.62 (step @p16 :rule instantiate :premises (@p1) :args (@t22)) % 0.39/0.62 (step @p64 :rule cong :premises (@p16 @p63) :args (@t24)) % 0.39/0.62 (step @p65 :rule trans :premises (@p64 @p11 @p62 @p51)) % 0.39/0.62 (step @p66 :rule trans :premises (@p60 @p59 @p53 @p52 @p49 @p48)) % 0.39/0.62 (step @p67 :rule cong :premises (@p66 @p65) :args (@t26)) % 0.39/0.62 (step @p68 :rule trans :premises (@p67 @p45)) % 0.39/0.62 (step @p69 :rule false_elim :premises (@p68)) % 0.39/0.62 (step-pop @p99 :rule scope :premises (@p69)) % 0.39/0.62 (step-pop @p100 :rule scope :premises (@p99)) % 0.39/0.62 (step-pop @p101 :rule scope :premises (@p100)) % 0.39/0.62 (step-pop @p102 :rule scope :premises (@p101)) % 0.39/0.62 (step-pop @p103 :rule scope :premises (@p102)) % 0.39/0.62 (step-pop @p104 :rule scope :premises (@p103)) % 0.39/0.62 (step-pop @p105 :rule scope :premises (@p104)) % 0.39/0.62 (step-pop @p106 :rule scope :premises (@p105)) % 0.39/0.62 (step-pop @p107 :rule scope :premises (@p106)) % 0.39/0.62 (step-pop @p108 :rule scope :premises (@p107)) % 0.39/0.62 (step @p70 :rule process_scope :premises (@p108) :args (@t27)) % 0.39/0.62 (step @p81 :rule implies_elim :premises (@p70)) % 0.39/0.62 (step @p82 :rule cnf_and_neg :args (@t51)) % 0.39/0.62 (step @p83 :rule resolution :premises (@p82 @p81) :args (true @t51)) % 0.39/0.62 (step @p84 :rule eq_resolve :premises (@p83 @p34)) % 0.39/0.62 (step @p85 :rule reordering :premises (@p84) :args ((or @t12 @t50 @t49 @t46 @t43 @t41 @t38 @t34 @t31 @t28 @t27))) % 0.39/0.62 (step @p86 false :rule chain_m_resolution :premises (@p85 @p22 @p21 @p11 @p10 @p9 @p8 @p7 @p6 @p5 @p4 @p3) :args (false (@list false false false false false false false false false true false) (@list @t26 @t23 @t30 @t33 @t37 @t40 @t42 @t45 @t48 @t12 @t10))) % 0.39/0.62 ) % 0.34/0.63 % SZS output end Proof % 0.34/0.63 % cvc5 exiting %------------------------------------------------------------------------------