%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COL042-9 : 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 : n010.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 0.35s 0.60s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COL042-9 : TPTP v9.2.1. Released v2.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n010.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Mon Jun 1 20:11:40 EDT 2026 % 0.17/0.34 % 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... % 0.35/0.60 % SZS status Unsatisfiable % 0.35/0.60 % SZS output start Proof % 0.35/0.61 ( % 0.35/0.61 (declare-sort $$unsorted 0) % 0.35/0.61 (declare-const tptp.fixed_pt $$unsorted) % 0.35/0.61 (declare-const tptp.strong_fixed_point $$unsorted) % 0.35/0.61 (declare-const tptp.w1 $$unsorted) % 0.35/0.61 (declare-const tptp.b $$unsorted) % 0.35/0.61 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (define @t1 () (@var "Z" $$unsorted)) % 0.35/0.61 (define @t2 () (@var "Y" $$unsorted)) % 0.35/0.61 (define @t3 () (@var "X" $$unsorted)) % 0.35/0.61 (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))))) % 0.35/0.61 (define @t5 () (tptp.apply (tptp.apply tptp.b tptp.b) tptp.b)) % 0.35/0.61 (define @t6 () (tptp.apply tptp.b tptp.w1)) % 0.35/0.61 (define @t7 () (tptp.apply (tptp.apply tptp.b @t6) @t5)) % 0.35/0.61 (define @t8 () (tptp.apply tptp.w1 tptp.w1)) % 0.35/0.61 (define @t9 () (tptp.apply (tptp.apply tptp.b @t8) @t7)) % 0.35/0.61 (define @t10 () (= tptp.strong_fixed_point @t9)) % 0.35/0.61 (define @t11 () (tptp.apply tptp.strong_fixed_point tptp.fixed_pt)) % 0.35/0.61 (define @t12 () (= @t11 (tptp.apply tptp.fixed_pt @t11))) % 0.35/0.61 (define @t13 () (not @t12)) % 0.35/0.61 (define @t14 () (tptp.apply @t7 tptp.fixed_pt)) % 0.35/0.61 (define @t15 () (tptp.apply @t5 tptp.fixed_pt)) % 0.35/0.61 (define @t16 () (tptp.apply @t15 tptp.w1)) % 0.35/0.61 (define @t17 () (tptp.apply tptp.w1 @t16)) % 0.35/0.61 (define @t18 () (tptp.apply tptp.b tptp.fixed_pt)) % 0.35/0.61 (define @t19 () (tptp.apply tptp.b @t18)) % 0.35/0.61 (define @t20 () (tptp.apply (tptp.apply @t19 tptp.w1) @t16)) % 0.35/0.61 (define @t21 () (tptp.apply @t18 @t17)) % 0.35/0.61 (define @t22 () (= @t20 @t21)) % 0.35/0.61 (define @t23 () (@list @t18 tptp.w1 @t16)) % 0.35/0.61 (define @t24 () (= @t21 @t20)) % 0.35/0.61 (define @t25 () (tptp.apply @t16 @t16)) % 0.35/0.61 (define @t26 () (tptp.apply @t25 @t16)) % 0.35/0.61 (define @t27 () (tptp.apply @t17 @t16)) % 0.35/0.61 (define @t28 () (= @t27 @t26)) % 0.35/0.61 (define @t29 () (not @t28)) % 0.35/0.61 (define @t30 () (not @t24)) % 0.35/0.61 (define @t31 () (tptp.apply tptp.fixed_pt @t27)) % 0.35/0.61 (define @t32 () (= (tptp.apply @t21 @t16) @t31)) % 0.35/0.61 (define @t33 () (not @t32)) % 0.35/0.61 (define @t34 () (tptp.apply @t17 tptp.w1)) % 0.35/0.61 (define @t35 () (= @t34 @t27)) % 0.35/0.61 (define @t36 () (not @t35)) % 0.35/0.61 (define @t37 () (tptp.apply @t6 @t15)) % 0.35/0.61 (define @t38 () (tptp.apply @t37 tptp.w1)) % 0.35/0.61 (define @t39 () (= @t38 @t17)) % 0.35/0.61 (define @t40 () (not @t39)) % 0.35/0.61 (define @t41 () (= @t15 @t19)) % 0.35/0.61 (define @t42 () (not @t41)) % 0.35/0.61 (define @t43 () (tptp.apply @t14 tptp.w1)) % 0.35/0.61 (define @t44 () (tptp.apply @t8 @t14)) % 0.35/0.61 (define @t45 () (= @t44 (tptp.apply @t43 tptp.w1))) % 0.35/0.61 (define @t46 () (not @t45)) % 0.35/0.61 (define @t47 () (= @t14 @t37)) % 0.35/0.61 (define @t48 () (not @t47)) % 0.35/0.61 (define @t49 () (tptp.apply @t9 tptp.fixed_pt)) % 0.35/0.61 (define @t50 () (= @t49 @t44)) % 0.35/0.61 (define @t51 () (not @t50)) % 0.35/0.61 (define @t52 () (not @t10)) % 0.35/0.61 (define @t53 () (and @t10 @t13 @t50 @t47 @t45 @t41 @t39 @t35 @t32 @t24)) % 0.35/0.61 (assume @p1 @t4) % 0.35/0.61 (assume @p2 (forall (@list @t3 @t2) (= (tptp.apply (tptp.apply tptp.w1 @t3) @t2) (tptp.apply (tptp.apply @t2 @t3) @t3)))) % 0.35/0.61 (assume @p3 @t10) % 0.35/0.61 (assume @p4 @t13) % 0.35/0.61 (step @p5 :rule instantiate :premises (@p1) :args ((@list @t8 @t7 tptp.fixed_pt))) % 0.35/0.61 (step @p6 :rule instantiate :premises (@p1) :args ((@list @t6 @t5 tptp.fixed_pt))) % 0.35/0.61 (step @p7 :rule instantiate :premises (@p2) :args ((@list tptp.w1 @t14))) % 0.35/0.61 (step @p8 :rule instantiate :premises (@p1) :args ((@list tptp.b tptp.b tptp.fixed_pt))) % 0.35/0.61 (step @p9 :rule instantiate :premises (@p1) :args ((@list tptp.w1 @t15 tptp.w1))) % 0.35/0.61 (step @p10 :rule instantiate :premises (@p2) :args ((@list @t16 tptp.w1))) % 0.35/0.61 (step @p11 :rule instantiate :premises (@p1) :args ((@list tptp.fixed_pt @t17 @t16))) % 0.35/0.61 (step @p12 :rule eq-symm :args (@t20 @t21)) % 0.35/0.61 (step @p13 :rule refl :args (@t4)) % 0.35/0.61 (step @p14 :rule cong :premises (@p13 @p12) :args ((=> @t4 @t22))) % 0.35/0.61 (assume-push @p94 @t4) % 0.35/0.61 (step @p16 :rule instantiate :premises (@p1) :args (@t23)) % 0.35/0.61 (step-pop @p95 :rule scope :premises (@p16)) % 0.35/0.61 (step @p17 :rule process_scope :premises (@p95) :args (@t22)) % 0.35/0.61 (step @p19 :rule eq_resolve :premises (@p17 @p14)) % 0.35/0.61 (step @p20 :rule implies_elim :premises (@p19)) % 0.35/0.61 (step @p21 :rule chain_m_resolution :premises (@p20 @p1) :args (@t24 (@list false) (@list @t4))) % 0.35/0.61 (step @p22 :rule instantiate :premises (@p2) :args ((@list @t16 @t16))) % 0.35/0.61 (step @p23 :rule refl :args (@t29)) % 0.35/0.61 (step @p24 :rule refl :args (@t30)) % 0.35/0.61 (step @p25 :rule refl :args (@t33)) % 0.35/0.61 (step @p26 :rule refl :args (@t36)) % 0.35/0.61 (step @p27 :rule refl :args (@t40)) % 0.35/0.61 (step @p28 :rule refl :args (@t42)) % 0.35/0.61 (step @p29 :rule refl :args (@t46)) % 0.35/0.61 (step @p30 :rule refl :args (@t48)) % 0.35/0.61 (step @p31 :rule refl :args (@t51)) % 0.35/0.61 (step @p32 :rule bool-double-not-elim :args (@t12)) % 0.35/0.61 (step @p33 :rule refl :args (@t52)) % 0.35/0.61 (step @p34 :rule nary_cong :premises (@p33 @p32 @p31 @p30 @p29 @p28 @p27 @p26 @p25 @p24 @p23) :args ((or @t52 (not @t13) @t51 @t48 @t46 @t42 @t40 @t36 @t33 @t30 @t29))) % 0.35/0.61 (assume-push @p96 @t10) % 0.35/0.61 (assume-push @p97 @t13) % 0.35/0.61 (assume-push @p98 @t50) % 0.35/0.61 (assume-push @p99 @t47) % 0.35/0.61 (assume-push @p100 @t45) % 0.35/0.61 (assume-push @p101 @t41) % 0.35/0.61 (assume-push @p102 @t39) % 0.35/0.61 (assume-push @p103 @t35) % 0.35/0.61 (assume-push @p104 @t32) % 0.35/0.61 (assume-push @p105 @t24) % 0.35/0.61 (step @p45 :rule false_intro :premises (@p4)) % 0.35/0.61 (step @p46 :rule refl :args (tptp.fixed_pt)) % 0.35/0.61 (step @p47 :rule symm :premises (@p3)) % 0.35/0.61 (step @p48 :rule cong :premises (@p47 @p46) :args (@t49)) % 0.35/0.61 (step @p49 :rule symm :premises (@p5)) % 0.35/0.61 (step @p50 :rule trans :premises (@p49 @p48)) % 0.35/0.61 (step @p51 :rule cong :premises (@p46 @p50) :args ((tptp.apply tptp.fixed_pt @t44))) % 0.35/0.61 (step @p52 :rule symm :premises (@p7)) % 0.35/0.61 (step @p53 :rule refl :args (tptp.w1)) % 0.35/0.61 (step @p54 :rule symm :premises (@p6)) % 0.35/0.61 (step @p55 :rule cong :premises (@p54 @p53) :args (@t38)) % 0.35/0.61 (step @p56 :rule symm :premises (@p9)) % 0.35/0.61 (step @p57 :rule trans :premises (@p56 @p55)) % 0.35/0.61 (step @p58 :rule cong :premises (@p57 @p53) :args (@t34)) % 0.35/0.61 (step @p59 :rule symm :premises (@p10)) % 0.35/0.61 (step @p60 :rule trans :premises (@p59 @p58 @p52)) % 0.35/0.61 (step @p61 :rule cong :premises (@p46 @p60) :args (@t31)) % 0.35/0.61 (step @p62 :rule refl :args (@t16)) % 0.35/0.61 (step @p63 :rule symm :premises (@p57)) % 0.35/0.61 (step @p64 :rule refl :args (@t18)) % 0.35/0.61 (step @p65 :rule cong :premises (@p64 @p63) :args ((tptp.apply @t18 @t43))) % 0.35/0.61 (step @p66 :rule symm :premises (@p65)) % 0.35/0.61 (step @p16 :rule instantiate :premises (@p1) :args (@t23)) % 0.35/0.61 (step @p67 :rule cong :premises (@p8 @p53) :args (@t16)) % 0.35/0.61 (step @p68 :rule cong :premises (@p67 @p62) :args (@t25)) % 0.35/0.61 (step @p69 :rule trans :premises (@p68 @p16 @p66)) % 0.35/0.61 (step @p70 :rule trans :premises (@p69 @p65)) % 0.35/0.61 (step @p71 :rule cong :premises (@p70 @p62) :args (@t26)) % 0.35/0.61 (step @p72 :rule trans :premises (@p71 @p11 @p61 @p51)) % 0.35/0.61 (step @p73 :rule trans :premises (@p59 @p58 @p52 @p49 @p48)) % 0.35/0.61 (step @p74 :rule cong :premises (@p73 @p72) :args (@t28)) % 0.35/0.61 (step @p75 :rule trans :premises (@p74 @p45)) % 0.35/0.61 (step @p76 :rule false_elim :premises (@p75)) % 0.35/0.61 (step-pop @p106 :rule scope :premises (@p76)) % 0.35/0.61 (step-pop @p107 :rule scope :premises (@p106)) % 0.35/0.61 (step-pop @p108 :rule scope :premises (@p107)) % 0.35/0.61 (step-pop @p109 :rule scope :premises (@p108)) % 0.35/0.61 (step-pop @p110 :rule scope :premises (@p109)) % 0.35/0.61 (step-pop @p111 :rule scope :premises (@p110)) % 0.35/0.61 (step-pop @p112 :rule scope :premises (@p111)) % 0.35/0.61 (step-pop @p113 :rule scope :premises (@p112)) % 0.35/0.61 (step-pop @p114 :rule scope :premises (@p113)) % 0.35/0.61 (step-pop @p115 :rule scope :premises (@p114)) % 0.35/0.61 (step @p77 :rule process_scope :premises (@p115) :args (@t29)) % 0.35/0.61 (step @p88 :rule implies_elim :premises (@p77)) % 0.35/0.61 (step @p89 :rule cnf_and_neg :args (@t53)) % 0.35/0.61 (step @p90 :rule resolution :premises (@p89 @p88) :args (true @t53)) % 0.35/0.61 (step @p91 :rule eq_resolve :premises (@p90 @p34)) % 0.35/0.61 (step @p92 :rule reordering :premises (@p91) :args ((or @t12 @t52 @t51 @t48 @t46 @t42 @t40 @t36 @t33 @t30 @t29))) % 0.35/0.61 (step @p93 false :rule chain_m_resolution :premises (@p92 @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 @t28 @t24 @t32 @t35 @t39 @t41 @t45 @t47 @t50 @t12 @t10))) % 0.35/0.61 ) % 0.35/0.61 % SZS output end Proof % 0.35/0.61 % cvc5 exiting %------------------------------------------------------------------------------