%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COL044-7 : TPTP v9.2.1. Released v2.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n015.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 08:09:49 AM UTC 2026 % Result : Unsatisfiable 69.41s 69.61s % Output : Proof 69.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : COL044-7 : TPTP v9.2.1. Released v2.1.0. % 0.12/0.12 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.14/0.33 % Computer : n015.cluster.edu % 0.14/0.33 % Model : x86_64 x86_64 % 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.33 % Memory : 8042.1875MB % 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.33 % CPULimit : 300 % 0.14/0.33 % WCLimit : 300 % 0.14/0.33 % DateTime : Mon Jun 1 20:12:19 EDT 2026 % 0.14/0.33 % CPUTime : % 0.29/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.32/16.35 --- Run --no-e-matching --full-saturate-quant at 6... % 22.10/22.38 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 28.11/28.40 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.21/34.48 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.31/64.94 --- Run --trigger-sel=max --full-saturate-quant at 15... % 69.41/69.61 % SZS status Unsatisfiable % 69.41/69.61 % SZS output start Proof % 69.41/69.61 ( % 69.41/69.61 (declare-sort $$unsorted 0) % 69.41/69.61 (declare-const tptp.fixed_pt $$unsorted) % 69.41/69.61 (declare-const tptp.strong_fixed_point $$unsorted) % 69.41/69.61 (declare-const tptp.n $$unsorted) % 69.41/69.61 (declare-const tptp.b $$unsorted) % 69.41/69.61 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 69.41/69.61 (define @t1 () (@var "Z" $$unsorted)) % 69.41/69.61 (define @t2 () (@var "Y" $$unsorted)) % 69.41/69.61 (define @t3 () (@var "X" $$unsorted)) % 69.41/69.61 (define @t4 () (@list @t3 @t2 @t1)) % 69.41/69.61 (define @t5 () (forall @t4 (= (tptp.apply (tptp.apply (tptp.apply tptp.b @t3) @t2) @t1) (tptp.apply @t3 (tptp.apply @t2 @t1))))) % 69.41/69.61 (define @t6 () (tptp.apply tptp.b tptp.b)) % 69.41/69.61 (define @t7 () (tptp.apply tptp.n @t6)) % 69.41/69.61 (define @t8 () (tptp.apply tptp.n @t7)) % 69.41/69.61 (define @t9 () (tptp.apply @t8 tptp.n)) % 69.41/69.61 (define @t10 () (tptp.apply @t6 @t9)) % 69.41/69.61 (define @t11 () (tptp.apply (tptp.apply tptp.n @t10) tptp.n)) % 69.41/69.61 (define @t12 () (tptp.apply (tptp.apply tptp.b @t11) tptp.b)) % 69.41/69.61 (define @t13 () (tptp.apply tptp.strong_fixed_point tptp.fixed_pt)) % 69.41/69.61 (define @t14 () (tptp.apply tptp.fixed_pt @t13)) % 69.41/69.61 (define @t15 () (= @t13 @t14)) % 69.41/69.61 (define @t16 () (not @t15)) % 69.41/69.61 (define @t17 () (tptp.apply tptp.b tptp.fixed_pt)) % 69.41/69.61 (define @t18 () (tptp.apply tptp.b @t17)) % 69.41/69.61 (define @t19 () (tptp.apply (tptp.apply @t10 @t18) tptp.n)) % 69.41/69.61 (define @t20 () (tptp.apply (tptp.apply @t6 tptp.b) tptp.fixed_pt)) % 69.41/69.61 (define @t21 () (= @t20 @t18)) % 69.41/69.61 (define @t22 () (@list false)) % 69.41/69.61 (define @t23 () (@list @t5)) % 69.41/69.61 (define @t24 () (tptp.apply tptp.b @t6)) % 69.41/69.61 (define @t25 () (tptp.apply tptp.b @t24)) % 69.41/69.61 (define @t26 () (tptp.apply (tptp.apply (tptp.apply (tptp.apply tptp.n @t25) @t7) tptp.n) @t18)) % 69.41/69.61 (define @t27 () (tptp.apply @t9 @t18)) % 69.41/69.61 (define @t28 () (tptp.apply (tptp.apply tptp.b @t27) tptp.n)) % 69.41/69.61 (define @t29 () (tptp.apply (tptp.apply (tptp.apply tptp.b tptp.n) tptp.b) @t17)) % 69.41/69.61 (define @t30 () (tptp.apply tptp.n @t18)) % 69.41/69.61 (define @t31 () (= @t29 @t30)) % 69.41/69.61 (define @t32 () (tptp.apply (tptp.apply @t7 @t18) tptp.n)) % 69.41/69.61 (define @t33 () (tptp.apply (tptp.apply tptp.b @t30) tptp.n)) % 69.41/69.61 (define @t34 () (tptp.apply @t30 @t30)) % 69.41/69.61 (define @t35 () (tptp.apply @t34 @t30)) % 69.41/69.61 (define @t36 () (tptp.apply tptp.fixed_pt @t35)) % 69.41/69.61 (define @t37 () (tptp.apply (tptp.apply @t17 @t34) @t30)) % 69.41/69.61 (define @t38 () (= @t37 @t36)) % 69.41/69.61 (assume @p1 @t5) % 69.41/69.61 (assume @p2 (forall @t4 (= (tptp.apply (tptp.apply (tptp.apply tptp.n @t3) @t2) @t1) (tptp.apply (tptp.apply (tptp.apply @t3 @t1) @t2) @t1)))) % 69.41/69.61 (assume @p3 (= tptp.strong_fixed_point (tptp.apply (tptp.apply tptp.b @t12) tptp.b))) % 69.41/69.61 (assume @p4 @t16) % 69.41/69.61 (step @p5 :rule refl :args (tptp.fixed_pt)) % 69.41/69.61 (step @p6 :rule cong :premises (@p3 @p5) :args (@t13)) % 69.41/69.61 (step @p7 :rule cong :premises (@p5 @p6) :args (@t14)) % 69.41/69.61 (step @p8 :rule cong :premises (@p6 @p7) :args (@t15)) % 69.41/69.61 (step @p9 :rule cong :premises (@p8) :args (@t16)) % 69.41/69.61 (step @p10 :rule eq_resolve :premises (@p4 @p9)) % 69.41/69.61 (step @p11 :rule false_intro :premises (@p10)) % 69.41/69.61 (step @p12 :rule instantiate :premises (@p1) :args ((@list @t12 tptp.b tptp.fixed_pt))) % 69.41/69.61 (step @p13 :rule symm :premises (@p12)) % 69.41/69.61 (step @p14 :rule cong :premises (@p5 @p13) :args ((tptp.apply tptp.fixed_pt (tptp.apply @t12 @t17)))) % 69.41/69.61 (step @p15 :rule instantiate :premises (@p1) :args ((@list @t11 tptp.b @t17))) % 69.41/69.61 (step @p16 :rule symm :premises (@p15)) % 69.41/69.61 (step @p17 :rule instantiate :premises (@p2) :args ((@list @t10 tptp.n @t18))) % 69.41/69.61 (step @p18 :rule symm :premises (@p17)) % 69.41/69.61 (step @p19 :rule instantiate :premises (@p1) :args ((@list tptp.b tptp.b tptp.fixed_pt))) % 69.41/69.61 (step @p20 :rule refl :args (@t19)) % 69.41/69.61 (step @p21 :rule cong :premises (@p20 @p19) :args ((tptp.apply @t19 @t20))) % 69.41/69.61 (step @p22 :rule eq-symm :args (@t20 @t18)) % 69.41/69.61 (step @p23 :rule refl :args (@t5)) % 69.41/69.61 (step @p24 :rule cong :premises (@p23 @p22) :args ((=> @t5 @t21))) % 69.41/69.61 (assume-push @p94 @t5) % 69.41/69.61 (step-pop @p95 :rule scope :premises (@p19)) % 69.41/69.61 (step @p26 :rule process_scope :premises (@p95) :args (@t21)) % 69.41/69.61 (step @p28 :rule eq_resolve :premises (@p26 @p24)) % 69.41/69.61 (step @p29 :rule implies_elim :premises (@p28)) % 69.41/69.61 (step @p30 :rule chain_m_resolution :premises (@p29 @p1) :args ((= @t18 @t20) @t22 @t23)) % 69.41/69.61 (step @p31 :rule refl :args (tptp.n)) % 69.41/69.61 (step @p32 :rule refl :args (@t18)) % 69.41/69.61 (step @p33 :rule instantiate :premises (@p1) :args ((@list @t6 @t8 tptp.n))) % 69.41/69.61 (step @p34 :rule instantiate :premises (@p1) :args ((@list @t24 tptp.n @t7))) % 69.41/69.61 (step @p35 :rule cong :premises (@p34 @p31) :args ((tptp.apply (tptp.apply (tptp.apply @t25 tptp.n) @t7) tptp.n))) % 69.41/69.61 (step @p36 :rule instantiate :premises (@p2) :args ((@list @t25 @t7 tptp.n))) % 69.41/69.61 (step @p37 :rule trans :premises (@p36 @p35 @p33)) % 69.41/69.61 (step @p38 :rule cong :premises (@p37 @p32) :args (@t26)) % 69.41/69.61 (step @p39 :rule cong :premises (@p38 @p31) :args ((tptp.apply @t26 tptp.n))) % 69.41/69.61 (step @p40 :rule symm :premises (@p38)) % 69.41/69.61 (step @p41 :rule instantiate :premises (@p1) :args ((@list tptp.b @t9 @t18))) % 69.41/69.61 (step @p42 :rule symm :premises (@p41)) % 69.41/69.61 (step @p43 :rule trans :premises (@p42 @p40)) % 69.41/69.61 (step @p44 :rule cong :premises (@p43 @p31) :args (@t28)) % 69.41/69.61 (step @p45 :rule trans :premises (@p44 @p39)) % 69.41/69.61 (step @p46 :rule cong :premises (@p45 @p30) :args ((tptp.apply @t28 @t18))) % 69.41/69.61 (step @p47 :rule instantiate :premises (@p1) :args ((@list @t27 tptp.n @t18))) % 69.41/69.61 (step @p48 :rule symm :premises (@p47)) % 69.41/69.61 (step @p49 :rule instantiate :premises (@p1) :args ((@list tptp.n tptp.b @t17))) % 69.41/69.61 (step @p50 :rule refl :args (@t27)) % 69.41/69.61 (step @p51 :rule cong :premises (@p50 @p49) :args ((tptp.apply @t27 @t29))) % 69.41/69.61 (step @p52 :rule eq-symm :args (@t29 @t30)) % 69.41/69.61 (step @p53 :rule cong :premises (@p23 @p52) :args ((=> @t5 @t31))) % 69.41/69.61 (assume-push @p96 @t5) % 69.41/69.61 (step-pop @p97 :rule scope :premises (@p49)) % 69.41/69.61 (step @p55 :rule process_scope :premises (@p97) :args (@t31)) % 69.41/69.61 (step @p57 :rule eq_resolve :premises (@p55 @p53)) % 69.41/69.61 (step @p58 :rule implies_elim :premises (@p57)) % 69.41/69.61 (step @p59 :rule chain_m_resolution :premises (@p58 @p1) :args ((= @t30 @t29) @t22 @t23)) % 69.41/69.61 (step @p60 :rule instantiate :premises (@p2) :args ((@list @t7 tptp.n @t18))) % 69.41/69.61 (step @p61 :rule symm :premises (@p60)) % 69.41/69.61 (step @p62 :rule refl :args (@t32)) % 69.41/69.61 (step @p63 :rule cong :premises (@p62 @p19) :args ((tptp.apply @t32 @t20))) % 69.41/69.61 (step @p64 :rule instantiate :premises (@p2) :args ((@list @t6 @t18 tptp.n))) % 69.41/69.61 (step @p65 :rule symm :premises (@p64)) % 69.41/69.61 (step @p66 :rule instantiate :premises (@p1) :args ((@list tptp.b tptp.n @t18))) % 69.41/69.61 (step @p67 :rule symm :premises (@p66)) % 69.41/69.61 (step @p68 :rule cong :premises (@p67 @p31) :args (@t33)) % 69.41/69.61 (step @p69 :rule trans :premises (@p68 @p65)) % 69.41/69.61 (step @p70 :rule cong :premises (@p69 @p30) :args ((tptp.apply @t33 @t18))) % 69.41/69.61 (step @p71 :rule instantiate :premises (@p1) :args ((@list @t30 tptp.n @t18))) % 69.41/69.61 (step @p72 :rule symm :premises (@p71)) % 69.41/69.61 (step @p73 :rule trans :premises (@p72 @p70 @p63 @p61)) % 69.41/69.61 (step @p74 :rule cong :premises (@p73 @p59) :args (@t35)) % 69.41/69.61 (step @p75 :rule trans :premises (@p74 @p51 @p48 @p46 @p21 @p18 @p16)) % 69.41/69.61 (step @p76 :rule cong :premises (@p5 @p75) :args (@t36)) % 69.41/69.61 (step @p77 :rule trans :premises (@p76 @p14)) % 69.41/69.61 (step @p78 :rule instantiate :premises (@p2) :args ((@list @t18 @t30 @t30))) % 69.41/69.61 (step @p79 :rule symm :premises (@p78)) % 69.41/69.61 (step @p80 :rule refl :args (@t30)) % 69.41/69.61 (step @p81 :rule instantiate :premises (@p1) :args ((@list @t17 @t30 @t30))) % 69.41/69.61 (step @p82 :rule symm :premises (@p81)) % 69.41/69.61 (step @p83 :rule cong :premises (@p82 @p80) :args (@t37)) % 69.41/69.61 (step @p84 :rule trans :premises (@p83 @p79 @p74 @p51 @p48 @p46 @p21 @p18 @p16 @p13)) % 69.41/69.61 (step @p85 :rule cong :premises (@p84 @p77) :args (@t38)) % 69.41/69.61 (step @p86 :rule trans :premises (@p85 @p11)) % 69.41/69.61 (step @p87 :rule false_elim :premises (@p86)) % 69.41/69.61 (assume-push @p98 @t5) % 69.41/69.61 (step @p89 :rule instantiate :premises (@p1) :args ((@list tptp.fixed_pt @t34 @t30))) % 69.41/69.61 (step-pop @p99 :rule scope :premises (@p89)) % 69.41/69.61 (step @p90 :rule process_scope :premises (@p99) :args (@t38)) % 69.41/69.61 (step @p92 :rule implies_elim :premises (@p90)) % 69.41/69.61 (step @p93 false :rule chain_m_resolution :premises (@p92 @p87 @p1) :args (false (@list true false) (@list @t38 @t5))) % 69.41/69.61 ) % 69.41/69.63 % SZS output end Proof % 69.41/69.63 % cvc5 exiting %------------------------------------------------------------------------------