%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COL006-2 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n013.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 08:09:44 AM UTC 2026 % Result : Unsatisfiable 0.38s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COL006-2 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n013.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Mon Jun 1 20:17:00 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.49 %----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... % 0.38/0.56 % SZS status Unsatisfiable % 0.38/0.56 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (declare-sort $$unsorted 0) % 0.38/0.57 (declare-const tptp.fixed_pt $$unsorted) % 0.38/0.57 (declare-const tptp.fixed_point (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.k $$unsorted) % 0.38/0.57 (declare-const tptp.s $$unsorted) % 0.38/0.57 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (define @t1 () (@var "Z" $$unsorted)) % 0.38/0.57 (define @t2 () (@var "Y" $$unsorted)) % 0.38/0.57 (define @t3 () (@var "X" $$unsorted)) % 0.38/0.57 (define @t4 () (tptp.apply (tptp.apply tptp.k @t3) @t2)) % 0.38/0.57 (define @t5 () (forall (@list @t3 @t2) (= @t4 @t3))) % 0.38/0.57 (define @t6 () (@var "Strong_fixed_point" $$unsorted)) % 0.38/0.57 (define @t7 () (tptp.apply @t6 tptp.fixed_pt)) % 0.38/0.57 (define @t8 () (tptp.apply tptp.k tptp.s)) % 0.38/0.57 (define @t9 () (tptp.apply (tptp.apply tptp.s @t8) tptp.k)) % 0.38/0.57 (define @t10 () (tptp.apply tptp.s tptp.k)) % 0.38/0.57 (define @t11 () (tptp.apply (tptp.apply tptp.s tptp.s) @t10)) % 0.38/0.57 (define @t12 () (tptp.apply tptp.k @t11)) % 0.38/0.57 (define @t13 () (tptp.apply (tptp.apply tptp.s @t12) @t9)) % 0.38/0.57 (define @t14 () (tptp.apply @t10 tptp.k)) % 0.38/0.57 (define @t15 () (tptp.apply (tptp.apply tptp.s @t14) @t14)) % 0.38/0.57 (define @t16 () (tptp.apply tptp.k @t15)) % 0.38/0.57 (define @t17 () (tptp.apply (tptp.apply tptp.s @t16) @t13)) % 0.38/0.57 (define @t18 () (tptp.fixed_point @t17)) % 0.38/0.57 (define @t19 () (tptp.apply @t17 tptp.fixed_pt)) % 0.38/0.57 (define @t20 () (= @t19 (tptp.apply tptp.fixed_pt @t19))) % 0.38/0.57 (define @t21 () (not @t20)) % 0.38/0.57 (define @t22 () (or @t21 @t18)) % 0.38/0.57 (define @t23 () (tptp.apply @t13 tptp.fixed_pt)) % 0.38/0.57 (define @t24 () (tptp.apply @t9 tptp.fixed_pt)) % 0.38/0.57 (define @t25 () (tptp.apply tptp.k @t23)) % 0.38/0.57 (define @t26 () (tptp.apply @t14 @t23)) % 0.38/0.57 (define @t27 () (tptp.apply @t10 @t24)) % 0.38/0.57 (define @t28 () (tptp.apply @t27 @t26)) % 0.38/0.57 (define @t29 () (tptp.apply tptp.k tptp.fixed_pt)) % 0.38/0.57 (define @t30 () (tptp.apply @t24 @t26)) % 0.38/0.57 (define @t31 () (tptp.apply @t16 tptp.fixed_pt)) % 0.38/0.57 (define @t32 () (= @t19 (tptp.apply @t31 @t23))) % 0.38/0.57 (define @t33 () (tptp.apply @t12 tptp.fixed_pt)) % 0.38/0.57 (define @t34 () (= @t23 (tptp.apply @t33 @t24))) % 0.38/0.57 (define @t35 () (= @t15 @t31)) % 0.38/0.57 (define @t36 () (tptp.apply @t26 @t26)) % 0.38/0.57 (define @t37 () (tptp.apply @t15 @t23)) % 0.38/0.57 (define @t38 () (= @t37 @t36)) % 0.38/0.57 (define @t39 () (tptp.apply @t8 tptp.fixed_pt)) % 0.38/0.57 (define @t40 () (tptp.apply @t39 @t29)) % 0.38/0.57 (define @t41 () (= @t24 @t40)) % 0.38/0.57 (define @t42 () (= @t11 @t33)) % 0.38/0.57 (define @t43 () (tptp.apply (tptp.apply tptp.s @t24) @t27)) % 0.38/0.57 (define @t44 () (tptp.apply @t11 @t24)) % 0.38/0.57 (define @t45 () (= @t44 @t43)) % 0.38/0.57 (define @t46 () (tptp.apply @t25 @t25)) % 0.38/0.57 (define @t47 () (= @t26 @t46)) % 0.38/0.57 (define @t48 () (= tptp.s @t39)) % 0.38/0.57 (define @t49 () (= @t23 @t46)) % 0.38/0.57 (define @t50 () (tptp.apply @t30 @t28)) % 0.38/0.57 (define @t51 () (= (tptp.apply @t43 @t26) @t50)) % 0.38/0.57 (define @t52 () (tptp.apply tptp.k @t26)) % 0.38/0.57 (define @t53 () (tptp.apply @t52 @t30)) % 0.38/0.57 (define @t54 () (= @t28 @t53)) % 0.38/0.57 (define @t55 () (tptp.apply @t26 @t28)) % 0.38/0.57 (define @t56 () (tptp.apply @t29 @t28)) % 0.38/0.57 (define @t57 () (tptp.apply @t56 @t55)) % 0.38/0.57 (define @t58 () (= (tptp.apply (tptp.apply (tptp.apply tptp.s @t29) @t26) @t28) @t57)) % 0.38/0.57 (define @t59 () (= tptp.fixed_pt @t56)) % 0.38/0.57 (define @t60 () (= @t23 (tptp.apply @t25 @t30))) % 0.38/0.57 (define @t61 () (and @t32 @t34 @t35 @t38 @t41 @t42 @t45 @t47 @t48 @t49 @t51 @t54 @t58 @t59 @t60)) % 0.38/0.57 (assume @p1 (forall (@list @t3 @t2 @t1) (= (tptp.apply (tptp.apply (tptp.apply tptp.s @t3) @t2) @t1) (tptp.apply (tptp.apply @t3 @t1) (tptp.apply @t2 @t1))))) % 0.38/0.57 (assume @p2 @t5) % 0.38/0.57 (assume @p3 (forall (@list @t6) (or (not (= @t7 (tptp.apply tptp.fixed_pt @t7))) (tptp.fixed_point @t6)))) % 0.38/0.57 (assume @p4 (not @t18)) % 0.38/0.57 (step @p5 :rule instantiate :premises (@p3) :args ((@list @t17))) % 0.38/0.57 (step @p6 :rule cnf_or_pos :args (@t22)) % 0.38/0.57 (step @p7 :rule reordering :premises (@p6) :args ((or @t18 @t21 (not @t22)))) % 0.38/0.57 (step @p8 :rule chain_m_resolution :premises (@p7 @p4 @p5) :args (@t21 (@list true false) (@list @t18 @t22))) % 0.38/0.57 (step @p9 :rule instantiate :premises (@p1) :args ((@list @t16 @t13 tptp.fixed_pt))) % 0.38/0.57 (step @p10 :rule instantiate :premises (@p1) :args ((@list @t12 @t9 tptp.fixed_pt))) % 0.38/0.57 (step @p11 :rule eq-symm :args (@t4 @t3)) % 0.38/0.57 (step @p12 :rule cong :premises (@p11) :args (@t5)) % 0.38/0.57 (step @p13 :rule eq_resolve :premises (@p2 @p12)) % 0.38/0.57 (step @p14 :rule instantiate :premises (@p13) :args ((@list @t15 tptp.fixed_pt))) % 0.38/0.57 (step @p15 :rule instantiate :premises (@p1) :args ((@list @t14 @t14 @t23))) % 0.38/0.57 (step @p16 :rule instantiate :premises (@p1) :args ((@list @t8 tptp.k tptp.fixed_pt))) % 0.38/0.57 (step @p17 :rule instantiate :premises (@p13) :args ((@list @t11 tptp.fixed_pt))) % 0.38/0.57 (step @p18 :rule instantiate :premises (@p1) :args ((@list tptp.s @t10 @t24))) % 0.38/0.57 (step @p19 :rule instantiate :premises (@p1) :args ((@list tptp.k tptp.k @t23))) % 0.38/0.57 (step @p20 :rule instantiate :premises (@p13) :args ((@list tptp.s tptp.fixed_pt))) % 0.38/0.57 (step @p21 :rule instantiate :premises (@p13) :args ((@list @t23 @t25))) % 0.38/0.57 (step @p22 :rule instantiate :premises (@p1) :args ((@list @t24 @t27 @t26))) % 0.38/0.57 (step @p23 :rule instantiate :premises (@p1) :args ((@list tptp.k @t24 @t26))) % 0.38/0.57 (step @p24 :rule instantiate :premises (@p1) :args ((@list @t29 @t26 @t28))) % 0.38/0.57 (step @p25 :rule instantiate :premises (@p13) :args ((@list tptp.fixed_pt @t28))) % 0.38/0.57 (step @p26 :rule instantiate :premises (@p13) :args ((@list @t23 @t30))) % 0.38/0.57 (assume-push @p101 @t32) % 0.38/0.57 (assume-push @p102 @t34) % 0.38/0.57 (assume-push @p103 @t35) % 0.38/0.57 (assume-push @p104 @t38) % 0.38/0.57 (assume-push @p105 @t41) % 0.38/0.57 (assume-push @p106 @t42) % 0.38/0.57 (assume-push @p107 @t45) % 0.38/0.57 (assume-push @p108 @t47) % 0.38/0.57 (assume-push @p109 @t48) % 0.38/0.57 (assume-push @p110 @t49) % 0.38/0.57 (assume-push @p111 @t51) % 0.38/0.57 (assume-push @p112 @t54) % 0.38/0.57 (assume-push @p113 @t58) % 0.38/0.57 (assume-push @p114 @t59) % 0.38/0.57 (assume-push @p115 @t60) % 0.38/0.57 (step @p42 :rule symm :premises (@p9)) % 0.38/0.57 (step @p43 :rule refl :args (@t23)) % 0.38/0.57 (step @p44 :rule cong :premises (@p14 @p43) :args (@t37)) % 0.38/0.57 (step @p45 :rule symm :premises (@p15)) % 0.38/0.57 (step @p46 :rule symm :premises (@p19)) % 0.38/0.57 (step @p47 :rule symm :premises (@p26)) % 0.38/0.57 (step @p48 :rule refl :args (@t30)) % 0.38/0.57 (step @p49 :rule symm :premises (@p21)) % 0.38/0.57 (step @p50 :rule trans :premises (@p19 @p49)) % 0.38/0.57 (step @p51 :rule refl :args (tptp.k)) % 0.38/0.57 (step @p52 :rule cong :premises (@p51 @p50) :args (@t52)) % 0.38/0.57 (step @p53 :rule cong :premises (@p52 @p48) :args (@t53)) % 0.38/0.57 (step @p54 :rule trans :premises (@p23 @p53 @p47 @p21 @p46)) % 0.38/0.57 (step @p55 :rule symm :premises (@p10)) % 0.38/0.57 (step @p56 :rule refl :args (@t24)) % 0.38/0.57 (step @p57 :rule cong :premises (@p17 @p56) :args (@t44)) % 0.38/0.57 (step @p58 :rule symm :premises (@p18)) % 0.38/0.57 (step @p59 :rule trans :premises (@p58 @p57 @p55 @p21 @p46)) % 0.38/0.57 (step @p60 :rule cong :premises (@p59 @p54) :args ((tptp.apply @t43 @t28))) % 0.38/0.57 (step @p61 :rule refl :args (@t28)) % 0.38/0.57 (step @p62 :rule symm :premises (@p59)) % 0.38/0.57 (step @p63 :rule cong :premises (@p62 @p61) :args (@t55)) % 0.38/0.57 (step @p64 :rule trans :premises (@p63 @p60 @p45 @p44 @p42)) % 0.38/0.57 (step @p65 :rule symm :premises (@p25)) % 0.38/0.57 (step @p66 :rule cong :premises (@p65 @p64) :args (@t57)) % 0.38/0.57 (step @p67 :rule symm :premises (@p50)) % 0.38/0.57 (step @p68 :rule refl :args (@t29)) % 0.38/0.57 (step @p69 :rule symm :premises (@p20)) % 0.38/0.57 (step @p70 :rule cong :premises (@p69 @p68) :args (@t40)) % 0.38/0.57 (step @p71 :rule trans :premises (@p16 @p70)) % 0.38/0.57 (step @p72 :rule cong :premises (@p71 @p67) :args ((tptp.apply @t24 @t23))) % 0.38/0.57 (step @p73 :rule cong :premises (@p56 @p50) :args (@t30)) % 0.38/0.57 (step @p74 :rule trans :premises (@p73 @p72)) % 0.38/0.57 (step @p75 :rule cong :premises (@p74 @p61) :args (@t50)) % 0.38/0.57 (step @p76 :rule refl :args (@t26)) % 0.38/0.57 (step @p77 :rule cong :premises (@p62 @p76) :args (@t36)) % 0.38/0.57 (step @p78 :rule symm :premises (@p44)) % 0.38/0.57 (step @p79 :rule trans :premises (@p9 @p78 @p15 @p77 @p22 @p75 @p24 @p66)) % 0.38/0.57 (step-pop @p116 :rule scope :premises (@p79)) % 0.38/0.57 (step-pop @p117 :rule scope :premises (@p116)) % 0.38/0.57 (step-pop @p118 :rule scope :premises (@p117)) % 0.38/0.57 (step-pop @p119 :rule scope :premises (@p118)) % 0.38/0.57 (step-pop @p120 :rule scope :premises (@p119)) % 0.38/0.57 (step-pop @p121 :rule scope :premises (@p120)) % 0.38/0.57 (step-pop @p122 :rule scope :premises (@p121)) % 0.38/0.57 (step-pop @p123 :rule scope :premises (@p122)) % 0.38/0.57 (step-pop @p124 :rule scope :premises (@p123)) % 0.38/0.57 (step-pop @p125 :rule scope :premises (@p124)) % 0.38/0.57 (step-pop @p126 :rule scope :premises (@p125)) % 0.38/0.57 (step-pop @p127 :rule scope :premises (@p126)) % 0.38/0.57 (step-pop @p128 :rule scope :premises (@p127)) % 0.38/0.57 (step-pop @p129 :rule scope :premises (@p128)) % 0.38/0.57 (step-pop @p130 :rule scope :premises (@p129)) % 0.38/0.57 (step @p80 :rule process_scope :premises (@p130) :args (@t20)) % 0.38/0.57 (step @p96 :rule implies_elim :premises (@p80)) % 0.38/0.57 (step @p97 :rule cnf_and_neg :args (@t61)) % 0.38/0.57 (step @p98 :rule resolution :premises (@p97 @p96) :args (true @t61)) % 0.38/0.57 (step @p99 :rule reordering :premises (@p98) :args ((or @t20 (not @t32) (not @t34) (not @t35) (not @t38) (not @t41) (not @t42) (not @t45) (not @t47) (not @t48) (not @t49) (not @t51) (not @t54) (not @t58) (not @t59) (not @t60)))) % 0.38/0.57 (step @p100 false :rule chain_m_resolution :premises (@p99 @p26 @p25 @p24 @p23 @p22 @p21 @p20 @p19 @p18 @p17 @p16 @p15 @p14 @p10 @p9 @p8) :args (false (@list false false false false false false false false false false false false false false false true) (@list @t60 @t59 @t58 @t54 @t51 @t49 @t48 @t47 @t45 @t42 @t41 @t38 @t35 @t34 @t32 @t20))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------