%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COL006-7 : 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 : n026.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 08:09:45 AM UTC 2026 % Result : Unsatisfiable 0.30s 0.55s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : COL006-7 : 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 % 0.15/0.34 % Computer : n026.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 20:17:40 EDT 2026 % 0.15/0.34 % 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... % 0.30/0.55 % SZS status Unsatisfiable % 0.30/0.55 % SZS output start Proof % 0.30/0.55 ( % 0.30/0.55 (declare-sort $$unsorted 0) % 0.30/0.55 (declare-const tptp.fixed_pt $$unsorted) % 0.30/0.55 (declare-const tptp.strong_fixed_point $$unsorted) % 0.30/0.55 (declare-const tptp.k $$unsorted) % 0.30/0.55 (declare-const tptp.s $$unsorted) % 0.30/0.55 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.30/0.55 (define @t1 () (@var "Z" $$unsorted)) % 0.30/0.55 (define @t2 () (@var "Y" $$unsorted)) % 0.30/0.55 (define @t3 () (@var "X" $$unsorted)) % 0.30/0.55 (define @t4 () (tptp.apply (tptp.apply tptp.k @t3) @t2)) % 0.30/0.55 (define @t5 () (forall (@list @t3 @t2) (= @t4 @t3))) % 0.30/0.55 (define @t6 () (tptp.apply tptp.k tptp.s)) % 0.30/0.55 (define @t7 () (tptp.apply (tptp.apply tptp.s @t6) tptp.k)) % 0.30/0.55 (define @t8 () (tptp.apply tptp.s tptp.k)) % 0.30/0.55 (define @t9 () (tptp.apply tptp.s tptp.s)) % 0.30/0.55 (define @t10 () (tptp.apply @t9 @t8)) % 0.30/0.55 (define @t11 () (tptp.apply @t8 tptp.k)) % 0.30/0.55 (define @t12 () (tptp.apply (tptp.apply @t9 @t11) @t10)) % 0.30/0.55 (define @t13 () (tptp.apply tptp.k @t12)) % 0.30/0.55 (define @t14 () (tptp.apply (tptp.apply tptp.s @t13) @t7)) % 0.30/0.55 (define @t15 () (= tptp.strong_fixed_point @t14)) % 0.30/0.55 (define @t16 () (tptp.apply tptp.strong_fixed_point tptp.fixed_pt)) % 0.30/0.55 (define @t17 () (= @t16 (tptp.apply tptp.fixed_pt @t16))) % 0.30/0.55 (define @t18 () (tptp.apply @t7 tptp.fixed_pt)) % 0.30/0.55 (define @t19 () (tptp.apply @t11 @t10)) % 0.30/0.55 (define @t20 () (tptp.apply tptp.k @t10)) % 0.30/0.55 (define @t21 () (tptp.apply @t19 @t18)) % 0.30/0.55 (define @t22 () (tptp.apply @t8 @t18)) % 0.30/0.55 (define @t23 () (tptp.apply @t22 @t21)) % 0.30/0.55 (define @t24 () (tptp.apply tptp.k tptp.fixed_pt)) % 0.30/0.55 (define @t25 () (tptp.apply @t18 @t21)) % 0.30/0.55 (define @t26 () (tptp.apply (tptp.apply tptp.s @t10) @t19)) % 0.30/0.55 (define @t27 () (= @t12 @t26)) % 0.30/0.55 (define @t28 () (tptp.apply @t13 tptp.fixed_pt)) % 0.30/0.55 (define @t29 () (tptp.apply @t14 tptp.fixed_pt)) % 0.30/0.55 (define @t30 () (= @t29 (tptp.apply @t28 @t18))) % 0.30/0.55 (define @t31 () (tptp.apply @t20 @t20)) % 0.30/0.55 (define @t32 () (= @t19 @t31)) % 0.30/0.55 (define @t33 () (tptp.apply @t6 tptp.fixed_pt)) % 0.30/0.55 (define @t34 () (tptp.apply @t33 @t24)) % 0.30/0.55 (define @t35 () (= @t18 @t34)) % 0.30/0.55 (define @t36 () (= @t12 @t28)) % 0.30/0.55 (define @t37 () (tptp.apply @t10 @t18)) % 0.30/0.55 (define @t38 () (tptp.apply @t26 @t18)) % 0.30/0.55 (define @t39 () (= @t38 (tptp.apply @t37 @t21))) % 0.30/0.55 (define @t40 () (= @t10 @t31)) % 0.30/0.55 (define @t41 () (= tptp.s @t33)) % 0.30/0.55 (define @t42 () (tptp.apply (tptp.apply tptp.s @t18) @t22)) % 0.30/0.55 (define @t43 () (= @t37 @t42)) % 0.30/0.55 (define @t44 () (tptp.apply @t25 @t23)) % 0.30/0.55 (define @t45 () (tptp.apply @t42 @t21)) % 0.30/0.55 (define @t46 () (= @t45 @t44)) % 0.30/0.55 (define @t47 () (tptp.apply (tptp.apply tptp.k @t21) @t25)) % 0.30/0.55 (define @t48 () (= @t23 @t47)) % 0.30/0.55 (define @t49 () (tptp.apply @t21 @t23)) % 0.30/0.55 (define @t50 () (tptp.apply @t24 @t23)) % 0.30/0.55 (define @t51 () (tptp.apply @t50 @t49)) % 0.30/0.55 (define @t52 () (= (tptp.apply (tptp.apply (tptp.apply tptp.s @t24) @t21) @t23) @t51)) % 0.30/0.55 (define @t53 () (= @t21 @t47)) % 0.30/0.55 (define @t54 () (= tptp.fixed_pt @t50)) % 0.30/0.55 (define @t55 () (and @t15 @t27 @t30 @t32 @t35 @t36 @t39 @t40 @t41 @t43 @t46 @t48 @t52 @t53 @t54)) % 0.30/0.55 (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))))) % 0.30/0.55 (assume @p2 @t5) % 0.30/0.55 (assume @p3 @t15) % 0.30/0.55 (assume @p4 (not @t17)) % 0.30/0.55 (step @p5 :rule instantiate :premises (@p1) :args ((@list tptp.s @t11 @t10))) % 0.30/0.55 (step @p6 :rule instantiate :premises (@p1) :args ((@list @t13 @t7 tptp.fixed_pt))) % 0.30/0.55 (step @p7 :rule instantiate :premises (@p1) :args ((@list tptp.k tptp.k @t10))) % 0.30/0.55 (step @p8 :rule instantiate :premises (@p1) :args ((@list @t6 tptp.k tptp.fixed_pt))) % 0.30/0.55 (step @p9 :rule eq-symm :args (@t4 @t3)) % 0.30/0.55 (step @p10 :rule cong :premises (@p9) :args (@t5)) % 0.30/0.55 (step @p11 :rule eq_resolve :premises (@p2 @p10)) % 0.30/0.55 (step @p12 :rule instantiate :premises (@p11) :args ((@list @t12 tptp.fixed_pt))) % 0.30/0.55 (step @p13 :rule instantiate :premises (@p1) :args ((@list @t10 @t19 @t18))) % 0.30/0.55 (step @p14 :rule instantiate :premises (@p11) :args ((@list @t10 @t20))) % 0.30/0.55 (step @p15 :rule instantiate :premises (@p11) :args ((@list tptp.s tptp.fixed_pt))) % 0.30/0.55 (step @p16 :rule instantiate :premises (@p1) :args ((@list tptp.s @t8 @t18))) % 0.30/0.55 (step @p17 :rule instantiate :premises (@p1) :args ((@list @t18 @t22 @t21))) % 0.30/0.55 (step @p18 :rule instantiate :premises (@p1) :args ((@list tptp.k @t18 @t21))) % 0.30/0.55 (step @p19 :rule instantiate :premises (@p1) :args ((@list @t24 @t21 @t23))) % 0.30/0.55 (step @p20 :rule instantiate :premises (@p11) :args ((@list @t21 @t25))) % 0.30/0.55 (step @p21 :rule instantiate :premises (@p11) :args ((@list tptp.fixed_pt @t23))) % 0.30/0.55 (assume-push @p93 @t15) % 0.30/0.55 (assume-push @p94 @t27) % 0.30/0.55 (assume-push @p95 @t30) % 0.30/0.55 (assume-push @p96 @t32) % 0.30/0.55 (assume-push @p97 @t35) % 0.30/0.55 (assume-push @p98 @t36) % 0.30/0.55 (assume-push @p99 @t39) % 0.30/0.55 (assume-push @p100 @t40) % 0.30/0.55 (assume-push @p101 @t41) % 0.30/0.55 (assume-push @p102 @t43) % 0.30/0.55 (assume-push @p103 @t46) % 0.30/0.55 (assume-push @p104 @t48) % 0.30/0.55 (assume-push @p105 @t52) % 0.30/0.55 (assume-push @p106 @t53) % 0.30/0.55 (assume-push @p107 @t54) % 0.30/0.55 (step @p37 :rule refl :args (tptp.fixed_pt)) % 0.30/0.55 (step @p38 :rule symm :premises (@p3)) % 0.30/0.55 (step @p39 :rule cong :premises (@p38 @p37) :args (@t29)) % 0.30/0.55 (step @p40 :rule symm :premises (@p6)) % 0.30/0.55 (step @p41 :rule refl :args (@t18)) % 0.30/0.55 (step @p42 :rule symm :premises (@p5)) % 0.30/0.55 (step @p43 :rule trans :premises (@p42 @p12)) % 0.30/0.55 (step @p44 :rule cong :premises (@p43 @p41) :args (@t38)) % 0.30/0.55 (step @p45 :rule symm :premises (@p13)) % 0.30/0.55 (step @p46 :rule refl :args (@t21)) % 0.30/0.55 (step @p47 :rule symm :premises (@p16)) % 0.30/0.55 (step @p48 :rule cong :premises (@p47 @p46) :args (@t45)) % 0.30/0.55 (step @p49 :rule symm :premises (@p20)) % 0.30/0.55 (step @p50 :rule trans :premises (@p18 @p49)) % 0.30/0.55 (step @p51 :rule refl :args (@t42)) % 0.30/0.55 (step @p52 :rule cong :premises (@p51 @p50) :args ((tptp.apply @t42 @t23))) % 0.30/0.55 (step @p53 :rule refl :args (@t23)) % 0.30/0.55 (step @p54 :rule symm :premises (@p14)) % 0.30/0.55 (step @p55 :rule trans :premises (@p7 @p54)) % 0.30/0.55 (step @p56 :rule cong :premises (@p55 @p41) :args (@t21)) % 0.30/0.55 (step @p57 :rule trans :premises (@p56 @p16)) % 0.30/0.55 (step @p58 :rule cong :premises (@p57 @p53) :args (@t49)) % 0.30/0.55 (step @p59 :rule trans :premises (@p58 @p52 @p48 @p45 @p44 @p40 @p39)) % 0.30/0.55 (step @p60 :rule symm :premises (@p21)) % 0.30/0.55 (step @p61 :rule cong :premises (@p60 @p59) :args (@t51)) % 0.30/0.55 (step @p62 :rule refl :args (@t24)) % 0.30/0.55 (step @p63 :rule symm :premises (@p15)) % 0.30/0.55 (step @p64 :rule cong :premises (@p63 @p62) :args (@t34)) % 0.30/0.55 (step @p65 :rule trans :premises (@p8 @p64)) % 0.30/0.55 (step @p66 :rule cong :premises (@p65 @p46) :args (@t25)) % 0.30/0.55 (step @p67 :rule cong :premises (@p66 @p53) :args (@t44)) % 0.30/0.55 (step @p68 :rule symm :premises (@p48)) % 0.30/0.55 (step @p69 :rule symm :premises (@p44)) % 0.30/0.55 (step @p70 :rule symm :premises (@p39)) % 0.30/0.55 (step @p71 :rule trans :premises (@p70 @p6 @p69 @p13 @p68 @p17 @p67 @p19 @p61)) % 0.30/0.55 (step-pop @p108 :rule scope :premises (@p71)) % 0.30/0.55 (step-pop @p109 :rule scope :premises (@p108)) % 0.30/0.55 (step-pop @p110 :rule scope :premises (@p109)) % 0.30/0.55 (step-pop @p111 :rule scope :premises (@p110)) % 0.30/0.55 (step-pop @p112 :rule scope :premises (@p111)) % 0.30/0.55 (step-pop @p113 :rule scope :premises (@p112)) % 0.30/0.55 (step-pop @p114 :rule scope :premises (@p113)) % 0.30/0.55 (step-pop @p115 :rule scope :premises (@p114)) % 0.30/0.55 (step-pop @p116 :rule scope :premises (@p115)) % 0.30/0.55 (step-pop @p117 :rule scope :premises (@p116)) % 0.30/0.55 (step-pop @p118 :rule scope :premises (@p117)) % 0.30/0.55 (step-pop @p119 :rule scope :premises (@p118)) % 0.30/0.55 (step-pop @p120 :rule scope :premises (@p119)) % 0.30/0.55 (step-pop @p121 :rule scope :premises (@p120)) % 0.30/0.55 (step-pop @p122 :rule scope :premises (@p121)) % 0.30/0.55 (step @p72 :rule process_scope :premises (@p122) :args (@t17)) % 0.30/0.55 (step @p88 :rule implies_elim :premises (@p72)) % 0.30/0.55 (step @p89 :rule cnf_and_neg :args (@t55)) % 0.30/0.55 (step @p90 :rule resolution :premises (@p89 @p88) :args (true @t55)) % 0.30/0.55 (step @p91 :rule reordering :premises (@p90) :args ((or @t17 (not @t15) (not @t27) (not @t30) (not @t32) (not @t35) (not @t36) (not @t39) (not @t40) (not @t41) (not @t43) (not @t46) (not @t48) (not @t52) (not @t53) (not @t54)))) % 0.30/0.55 (step @p92 false :rule chain_m_resolution :premises (@p91 @p21 @p20 @p19 @p18 @p17 @p16 @p15 @p14 @p13 @p12 @p8 @p7 @p6 @p5 @p4 @p3) :args (false (@list false false false false false false false false false false false false false false true false) (@list @t54 @t53 @t52 @t48 @t46 @t43 @t41 @t40 @t39 @t36 @t35 @t32 @t30 @t27 @t17 @t15))) % 0.30/0.55 ) % 0.30/0.55 % SZS output end Proof % 0.30/0.55 % cvc5 exiting %------------------------------------------------------------------------------