%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COL044-3 : TPTP v9.2.1. Released v1.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n021.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 75.42s 75.61s % Output : Proof 75.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : COL044-3 : TPTP v9.2.1. Released v1.2.0. % 0.00/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n021.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Mon Jun 1 20:13:19 EDT 2026 % 0.18/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.34/16.31 --- Run --no-e-matching --full-saturate-quant at 6... % 22.13/22.33 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 28.13/28.36 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.22/34.49 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 64.54/64.79 --- Run --trigger-sel=max --full-saturate-quant at 15... % 75.42/75.61 % SZS status Unsatisfiable % 75.42/75.61 % SZS output start Proof % 75.42/75.61 ( % 75.42/75.61 (declare-sort $$unsorted 0) % 75.42/75.61 (declare-const tptp.fixed_pt $$unsorted) % 75.42/75.61 (declare-const tptp.fixed_point (-> $$unsorted Bool)) % 75.42/75.61 (declare-const tptp.n $$unsorted) % 75.42/75.61 (declare-const tptp.b $$unsorted) % 75.42/75.61 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 75.42/75.61 (define @t1 () (@var "Z" $$unsorted)) % 75.42/75.61 (define @t2 () (@var "Y" $$unsorted)) % 75.42/75.61 (define @t3 () (@var "X" $$unsorted)) % 75.42/75.61 (define @t4 () (@list @t3 @t2 @t1)) % 75.42/75.61 (define @t5 () (forall @t4 (= (tptp.apply (tptp.apply (tptp.apply tptp.b @t3) @t2) @t1) (tptp.apply @t3 (tptp.apply @t2 @t1))))) % 75.42/75.61 (define @t6 () (@var "Strong_fixed_point" $$unsorted)) % 75.42/75.61 (define @t7 () (tptp.apply @t6 tptp.fixed_pt)) % 75.42/75.61 (define @t8 () (tptp.apply tptp.b tptp.b)) % 75.42/75.61 (define @t9 () (tptp.apply tptp.n @t8)) % 75.42/75.61 (define @t10 () (tptp.apply tptp.n @t9)) % 75.42/75.61 (define @t11 () (tptp.apply @t10 tptp.n)) % 75.42/75.61 (define @t12 () (tptp.apply @t8 @t11)) % 75.42/75.61 (define @t13 () (tptp.apply (tptp.apply tptp.n @t12) tptp.n)) % 75.42/75.61 (define @t14 () (tptp.apply (tptp.apply tptp.b @t13) tptp.b)) % 75.42/75.61 (define @t15 () (tptp.apply (tptp.apply tptp.b @t14) tptp.b)) % 75.42/75.61 (define @t16 () (tptp.fixed_point @t15)) % 75.42/75.61 (define @t17 () (tptp.apply @t15 tptp.fixed_pt)) % 75.42/75.61 (define @t18 () (not (= @t17 (tptp.apply tptp.fixed_pt @t17)))) % 75.42/75.61 (define @t19 () (or @t18 @t16)) % 75.42/75.61 (define @t20 () (@list true false)) % 75.42/75.61 (define @t21 () (tptp.apply tptp.b tptp.fixed_pt)) % 75.42/75.61 (define @t22 () (tptp.apply tptp.b @t21)) % 75.42/75.61 (define @t23 () (tptp.apply (tptp.apply @t12 @t22) tptp.n)) % 75.42/75.61 (define @t24 () (tptp.apply (tptp.apply @t8 tptp.b) tptp.fixed_pt)) % 75.42/75.61 (define @t25 () (= @t24 @t22)) % 75.42/75.61 (define @t26 () (@list false)) % 75.42/75.61 (define @t27 () (@list @t5)) % 75.42/75.61 (define @t28 () (tptp.apply tptp.b @t8)) % 75.42/75.61 (define @t29 () (tptp.apply (tptp.apply tptp.b @t28) tptp.n)) % 75.42/75.61 (define @t30 () (tptp.apply tptp.b @t29)) % 75.42/75.61 (define @t31 () (tptp.apply (tptp.apply (tptp.apply (tptp.apply tptp.n @t30) @t8) tptp.n) @t22)) % 75.42/75.61 (define @t32 () (tptp.apply @t11 @t22)) % 75.42/75.61 (define @t33 () (tptp.apply (tptp.apply tptp.b @t32) tptp.n)) % 75.42/75.61 (define @t34 () (tptp.apply (tptp.apply (tptp.apply tptp.b tptp.n) tptp.b) @t21)) % 75.42/75.61 (define @t35 () (tptp.apply tptp.n @t22)) % 75.42/75.61 (define @t36 () (= @t34 @t35)) % 75.42/75.61 (define @t37 () (tptp.apply (tptp.apply @t9 @t22) tptp.n)) % 75.42/75.61 (define @t38 () (tptp.apply (tptp.apply tptp.b @t35) tptp.n)) % 75.42/75.61 (define @t39 () (tptp.apply @t35 @t35)) % 75.42/75.61 (define @t40 () (tptp.apply @t39 @t35)) % 75.42/75.61 (define @t41 () (tptp.apply tptp.fixed_pt @t40)) % 75.42/75.61 (define @t42 () (tptp.apply (tptp.apply @t21 @t39) @t35)) % 75.42/75.61 (define @t43 () (= @t42 @t41)) % 75.42/75.61 (assume @p1 @t5) % 75.42/75.61 (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)))) % 75.42/75.61 (assume @p3 (forall (@list @t6) (or (not (= @t7 (tptp.apply tptp.fixed_pt @t7))) (tptp.fixed_point @t6)))) % 75.42/75.61 (assume @p4 (not @t16)) % 75.42/75.61 (step @p5 :rule instantiate :premises (@p3) :args ((@list @t15))) % 75.42/75.61 (step @p6 :rule cnf_or_pos :args (@t19)) % 75.42/75.61 (step @p7 :rule reordering :premises (@p6) :args ((or @t16 @t18 (not @t19)))) % 75.42/75.61 (step @p8 :rule chain_m_resolution :premises (@p7 @p4 @p5) :args (@t18 @t20 (@list @t16 @t19))) % 75.42/75.61 (step @p9 :rule false_intro :premises (@p8)) % 75.42/75.61 (step @p10 :rule instantiate :premises (@p1) :args ((@list @t14 tptp.b tptp.fixed_pt))) % 75.42/75.61 (step @p11 :rule symm :premises (@p10)) % 75.42/75.61 (step @p12 :rule refl :args (tptp.fixed_pt)) % 75.42/75.61 (step @p13 :rule cong :premises (@p12 @p11) :args ((tptp.apply tptp.fixed_pt (tptp.apply @t14 @t21)))) % 75.42/75.61 (step @p14 :rule instantiate :premises (@p1) :args ((@list @t13 tptp.b @t21))) % 75.42/75.61 (step @p15 :rule symm :premises (@p14)) % 75.42/75.61 (step @p16 :rule instantiate :premises (@p2) :args ((@list @t12 tptp.n @t22))) % 75.42/75.61 (step @p17 :rule symm :premises (@p16)) % 75.42/75.61 (step @p18 :rule instantiate :premises (@p1) :args ((@list tptp.b tptp.b tptp.fixed_pt))) % 75.42/75.61 (step @p19 :rule refl :args (@t23)) % 75.42/75.61 (step @p20 :rule cong :premises (@p19 @p18) :args ((tptp.apply @t23 @t24))) % 75.42/75.61 (step @p21 :rule eq-symm :args (@t24 @t22)) % 75.42/75.61 (step @p22 :rule refl :args (@t5)) % 75.42/75.61 (step @p23 :rule cong :premises (@p22 @p21) :args ((=> @t5 @t25))) % 75.42/75.61 (assume-push @p95 @t5) % 75.42/75.61 (step-pop @p96 :rule scope :premises (@p18)) % 75.42/75.61 (step @p25 :rule process_scope :premises (@p96) :args (@t25)) % 75.42/75.61 (step @p27 :rule eq_resolve :premises (@p25 @p23)) % 75.42/75.61 (step @p28 :rule implies_elim :premises (@p27)) % 75.42/75.61 (step @p29 :rule chain_m_resolution :premises (@p28 @p1) :args ((= @t22 @t24) @t26 @t27)) % 75.42/75.61 (step @p30 :rule refl :args (tptp.n)) % 75.42/75.61 (step @p31 :rule refl :args (@t22)) % 75.42/75.61 (step @p32 :rule instantiate :premises (@p1) :args ((@list @t8 @t10 tptp.n))) % 75.42/75.61 (step @p33 :rule instantiate :premises (@p1) :args ((@list @t28 tptp.n @t9))) % 75.42/75.61 (step @p34 :rule cong :premises (@p33 @p30) :args ((tptp.apply (tptp.apply @t29 @t9) tptp.n))) % 75.42/75.61 (step @p35 :rule instantiate :premises (@p1) :args ((@list @t29 tptp.n @t8))) % 75.42/75.61 (step @p36 :rule cong :premises (@p35 @p30) :args ((tptp.apply (tptp.apply (tptp.apply @t30 tptp.n) @t8) tptp.n))) % 75.42/75.61 (step @p37 :rule instantiate :premises (@p2) :args ((@list @t30 @t8 tptp.n))) % 75.42/75.61 (step @p38 :rule trans :premises (@p37 @p36 @p34 @p32)) % 75.42/75.61 (step @p39 :rule cong :premises (@p38 @p31) :args (@t31)) % 75.42/75.61 (step @p40 :rule cong :premises (@p39 @p30) :args ((tptp.apply @t31 tptp.n))) % 75.42/75.61 (step @p41 :rule symm :premises (@p39)) % 75.42/75.61 (step @p42 :rule instantiate :premises (@p1) :args ((@list tptp.b @t11 @t22))) % 75.42/75.61 (step @p43 :rule symm :premises (@p42)) % 75.42/75.61 (step @p44 :rule trans :premises (@p43 @p41)) % 75.42/75.61 (step @p45 :rule cong :premises (@p44 @p30) :args (@t33)) % 75.42/75.61 (step @p46 :rule trans :premises (@p45 @p40)) % 75.42/75.61 (step @p47 :rule cong :premises (@p46 @p29) :args ((tptp.apply @t33 @t22))) % 75.42/75.61 (step @p48 :rule instantiate :premises (@p1) :args ((@list @t32 tptp.n @t22))) % 75.42/75.61 (step @p49 :rule symm :premises (@p48)) % 75.42/75.61 (step @p50 :rule instantiate :premises (@p1) :args ((@list tptp.n tptp.b @t21))) % 75.42/75.61 (step @p51 :rule refl :args (@t32)) % 75.42/75.61 (step @p52 :rule cong :premises (@p51 @p50) :args ((tptp.apply @t32 @t34))) % 75.42/75.61 (step @p53 :rule eq-symm :args (@t34 @t35)) % 75.42/75.61 (step @p54 :rule cong :premises (@p22 @p53) :args ((=> @t5 @t36))) % 75.42/75.61 (assume-push @p97 @t5) % 75.42/75.61 (step-pop @p98 :rule scope :premises (@p50)) % 75.42/75.61 (step @p56 :rule process_scope :premises (@p98) :args (@t36)) % 75.42/75.61 (step @p58 :rule eq_resolve :premises (@p56 @p54)) % 75.42/75.61 (step @p59 :rule implies_elim :premises (@p58)) % 75.42/75.61 (step @p60 :rule chain_m_resolution :premises (@p59 @p1) :args ((= @t35 @t34) @t26 @t27)) % 75.42/75.61 (step @p61 :rule instantiate :premises (@p2) :args ((@list @t9 tptp.n @t22))) % 75.42/75.61 (step @p62 :rule symm :premises (@p61)) % 75.42/75.61 (step @p63 :rule refl :args (@t37)) % 75.42/75.61 (step @p64 :rule cong :premises (@p63 @p18) :args ((tptp.apply @t37 @t24))) % 75.42/75.61 (step @p65 :rule instantiate :premises (@p2) :args ((@list @t8 @t22 tptp.n))) % 75.42/75.61 (step @p66 :rule symm :premises (@p65)) % 75.42/75.61 (step @p67 :rule instantiate :premises (@p1) :args ((@list tptp.b tptp.n @t22))) % 75.42/75.61 (step @p68 :rule symm :premises (@p67)) % 75.42/75.61 (step @p69 :rule cong :premises (@p68 @p30) :args (@t38)) % 75.42/75.61 (step @p70 :rule trans :premises (@p69 @p66)) % 75.42/75.61 (step @p71 :rule cong :premises (@p70 @p29) :args ((tptp.apply @t38 @t22))) % 75.42/75.61 (step @p72 :rule instantiate :premises (@p1) :args ((@list @t35 tptp.n @t22))) % 75.42/75.61 (step @p73 :rule symm :premises (@p72)) % 75.42/75.61 (step @p74 :rule trans :premises (@p73 @p71 @p64 @p62)) % 75.42/75.61 (step @p75 :rule cong :premises (@p74 @p60) :args (@t40)) % 75.42/75.61 (step @p76 :rule trans :premises (@p75 @p52 @p49 @p47 @p20 @p17 @p15)) % 75.42/75.61 (step @p77 :rule cong :premises (@p12 @p76) :args (@t41)) % 75.42/75.61 (step @p78 :rule trans :premises (@p77 @p13)) % 75.42/75.61 (step @p79 :rule instantiate :premises (@p2) :args ((@list @t22 @t35 @t35))) % 75.42/75.61 (step @p80 :rule symm :premises (@p79)) % 75.42/75.61 (step @p81 :rule refl :args (@t35)) % 75.42/75.61 (step @p82 :rule instantiate :premises (@p1) :args ((@list @t21 @t35 @t35))) % 75.42/75.61 (step @p83 :rule symm :premises (@p82)) % 75.42/75.61 (step @p84 :rule cong :premises (@p83 @p81) :args (@t42)) % 75.42/75.61 (step @p85 :rule trans :premises (@p84 @p80 @p75 @p52 @p49 @p47 @p20 @p17 @p15 @p11)) % 75.42/75.61 (step @p86 :rule cong :premises (@p85 @p78) :args (@t43)) % 75.42/75.61 (step @p87 :rule trans :premises (@p86 @p9)) % 75.42/75.61 (step @p88 :rule false_elim :premises (@p87)) % 75.42/75.61 (assume-push @p99 @t5) % 75.42/75.61 (step @p90 :rule instantiate :premises (@p1) :args ((@list tptp.fixed_pt @t39 @t35))) % 75.42/75.61 (step-pop @p100 :rule scope :premises (@p90)) % 75.42/75.61 (step @p91 :rule process_scope :premises (@p100) :args (@t43)) % 75.42/75.61 (step @p93 :rule implies_elim :premises (@p91)) % 75.42/75.61 (step @p94 false :rule chain_m_resolution :premises (@p93 @p88 @p1) :args (false @t20 (@list @t43 @t5))) % 75.42/75.61 ) % 75.42/75.64 % SZS output end Proof % 75.42/75.64 % cvc5 exiting %------------------------------------------------------------------------------