%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COL042-2 : 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 : n019.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 08:09:48 AM UTC 2026 % Result : Unsatisfiable 0.32s 0.84s % Output : Proof 0.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.16 % Problem : COL042-2 : TPTP v9.2.1. Released v1.2.0. % 0.08/0.17 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.14/0.38 % Computer : n019.cluster.edu % 0.14/0.38 % Model : x86_64 x86_64 % 0.14/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.38 % Memory : 8042.1875MB % 0.14/0.38 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.38 % CPULimit : 300 % 0.14/0.38 % WCLimit : 300 % 0.14/0.38 % DateTime : Mon Jun 1 20:12:04 EDT 2026 % 0.14/0.38 % CPUTime : % 0.24/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.24/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.32/0.84 % SZS status Unsatisfiable % 0.32/0.84 % SZS output start Proof % 0.32/0.84 ( % 0.32/0.84 (declare-sort $$unsorted 0) % 0.32/0.84 (declare-const tptp.fixed_pt $$unsorted) % 0.32/0.84 (declare-const tptp.fixed_point (-> $$unsorted Bool)) % 0.32/0.84 (declare-const tptp.w1 $$unsorted) % 0.32/0.84 (declare-const tptp.b $$unsorted) % 0.32/0.84 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.32/0.84 (define @t1 () (@var "Z" $$unsorted)) % 0.32/0.84 (define @t2 () (@var "Y" $$unsorted)) % 0.32/0.84 (define @t3 () (@var "X" $$unsorted)) % 0.32/0.84 (define @t4 () (forall (@list @t3 @t2 @t1) (= (tptp.apply (tptp.apply (tptp.apply tptp.b @t3) @t2) @t1) (tptp.apply @t3 (tptp.apply @t2 @t1))))) % 0.32/0.84 (define @t5 () (@var "Strong_fixed_point" $$unsorted)) % 0.32/0.84 (define @t6 () (tptp.apply @t5 tptp.fixed_pt)) % 0.32/0.84 (define @t7 () (tptp.apply tptp.b tptp.w1)) % 0.32/0.84 (define @t8 () (tptp.apply tptp.w1 tptp.w1)) % 0.32/0.84 (define @t9 () (tptp.apply (tptp.apply tptp.b @t8) @t7)) % 0.32/0.84 (define @t10 () (tptp.apply (tptp.apply tptp.b @t9) tptp.b)) % 0.32/0.84 (define @t11 () (tptp.apply (tptp.apply tptp.b @t10) tptp.b)) % 0.32/0.84 (define @t12 () (tptp.fixed_point @t11)) % 0.32/0.84 (define @t13 () (tptp.apply @t11 tptp.fixed_pt)) % 0.32/0.84 (define @t14 () (= @t13 (tptp.apply tptp.fixed_pt @t13))) % 0.32/0.84 (define @t15 () (not @t14)) % 0.32/0.84 (define @t16 () (or @t15 @t12)) % 0.32/0.84 (define @t17 () (tptp.apply tptp.b tptp.fixed_pt)) % 0.32/0.84 (define @t18 () (tptp.apply tptp.b @t17)) % 0.32/0.84 (define @t19 () (tptp.apply @t7 @t18)) % 0.32/0.84 (define @t20 () (tptp.apply @t18 tptp.w1)) % 0.32/0.84 (define @t21 () (tptp.apply tptp.w1 @t20)) % 0.32/0.84 (define @t22 () (tptp.apply @t20 @t20)) % 0.32/0.84 (define @t23 () (tptp.apply @t17 @t21)) % 0.32/0.84 (define @t24 () (= @t22 @t23)) % 0.32/0.84 (define @t25 () (@list @t17 tptp.w1 @t20)) % 0.32/0.84 (define @t26 () (= @t23 @t22)) % 0.32/0.84 (define @t27 () (tptp.apply @t22 @t20)) % 0.32/0.84 (define @t28 () (tptp.apply @t21 @t20)) % 0.32/0.84 (define @t29 () (= @t28 @t27)) % 0.32/0.84 (define @t30 () (not @t29)) % 0.32/0.84 (define @t31 () (not @t26)) % 0.32/0.84 (define @t32 () (tptp.apply tptp.fixed_pt @t28)) % 0.32/0.84 (define @t33 () (= (tptp.apply @t23 @t20) @t32)) % 0.32/0.84 (define @t34 () (not @t33)) % 0.32/0.84 (define @t35 () (tptp.apply @t21 tptp.w1)) % 0.32/0.84 (define @t36 () (= @t35 @t28)) % 0.32/0.84 (define @t37 () (not @t36)) % 0.32/0.84 (define @t38 () (tptp.apply @t19 tptp.w1)) % 0.32/0.84 (define @t39 () (= @t38 @t21)) % 0.32/0.84 (define @t40 () (not @t39)) % 0.32/0.84 (define @t41 () (tptp.apply @t8 @t19)) % 0.32/0.84 (define @t42 () (= @t41 (tptp.apply @t38 tptp.w1))) % 0.32/0.84 (define @t43 () (not @t42)) % 0.32/0.84 (define @t44 () (tptp.apply @t9 @t18)) % 0.32/0.84 (define @t45 () (= @t44 @t41)) % 0.32/0.84 (define @t46 () (not @t45)) % 0.32/0.84 (define @t47 () (tptp.apply @t10 @t17)) % 0.32/0.84 (define @t48 () (= @t47 @t44)) % 0.32/0.84 (define @t49 () (not @t48)) % 0.32/0.84 (define @t50 () (= @t13 @t47)) % 0.32/0.84 (define @t51 () (not @t50)) % 0.32/0.84 (define @t52 () (and @t15 @t50 @t48 @t45 @t42 @t39 @t36 @t33 @t26)) % 0.32/0.84 (assume @p1 @t4) % 0.32/0.84 (assume @p2 (forall (@list @t3 @t2) (= (tptp.apply (tptp.apply tptp.w1 @t3) @t2) (tptp.apply (tptp.apply @t2 @t3) @t3)))) % 0.32/0.84 (assume @p3 (forall (@list @t5) (or (not (= @t6 (tptp.apply tptp.fixed_pt @t6))) (tptp.fixed_point @t5)))) % 0.32/0.84 (assume @p4 (not @t12)) % 0.32/0.84 (step @p5 :rule instantiate :premises (@p3) :args ((@list @t11))) % 0.32/0.84 (step @p6 :rule cnf_or_pos :args (@t16)) % 0.32/0.84 (step @p7 :rule reordering :premises (@p6) :args ((or @t12 @t15 (not @t16)))) % 0.32/0.84 (step @p8 :rule chain_m_resolution :premises (@p7 @p4 @p5) :args (@t15 (@list true false) (@list @t12 @t16))) % 0.32/0.84 (step @p9 :rule instantiate :premises (@p1) :args ((@list @t10 tptp.b tptp.fixed_pt))) % 0.32/0.84 (step @p10 :rule instantiate :premises (@p1) :args ((@list @t9 tptp.b @t17))) % 0.32/0.84 (step @p11 :rule instantiate :premises (@p1) :args ((@list @t8 @t7 @t18))) % 0.32/0.84 (step @p12 :rule instantiate :premises (@p2) :args ((@list tptp.w1 @t19))) % 0.32/0.84 (step @p13 :rule instantiate :premises (@p1) :args ((@list tptp.w1 @t18 tptp.w1))) % 0.32/0.84 (step @p14 :rule instantiate :premises (@p2) :args ((@list @t20 tptp.w1))) % 0.32/0.84 (step @p15 :rule instantiate :premises (@p1) :args ((@list tptp.fixed_pt @t21 @t20))) % 0.32/0.84 (step @p16 :rule eq-symm :args (@t22 @t23)) % 0.32/0.84 (step @p17 :rule refl :args (@t4)) % 0.32/0.84 (step @p18 :rule cong :premises (@p17 @p16) :args ((=> @t4 @t24))) % 0.32/0.84 (assume-push @p82 @t4) % 0.32/0.84 (step @p20 :rule instantiate :premises (@p1) :args (@t25)) % 0.32/0.84 (step-pop @p83 :rule scope :premises (@p20)) % 0.32/0.84 (step @p21 :rule process_scope :premises (@p83) :args (@t24)) % 0.32/0.84 (step @p23 :rule eq_resolve :premises (@p21 @p18)) % 0.32/0.84 (step @p24 :rule implies_elim :premises (@p23)) % 0.32/0.84 (step @p25 :rule chain_m_resolution :premises (@p24 @p1) :args (@t26 (@list false) (@list @t4))) % 0.32/0.84 (step @p26 :rule instantiate :premises (@p2) :args ((@list @t20 @t20))) % 0.32/0.84 (step @p27 :rule refl :args (@t30)) % 0.32/0.84 (step @p28 :rule refl :args (@t31)) % 0.32/0.84 (step @p29 :rule refl :args (@t34)) % 0.32/0.84 (step @p30 :rule refl :args (@t37)) % 0.32/0.84 (step @p31 :rule refl :args (@t40)) % 0.32/0.84 (step @p32 :rule refl :args (@t43)) % 0.32/0.84 (step @p33 :rule refl :args (@t46)) % 0.32/0.84 (step @p34 :rule refl :args (@t49)) % 0.32/0.84 (step @p35 :rule refl :args (@t51)) % 0.32/0.84 (step @p36 :rule bool-double-not-elim :args (@t14)) % 0.32/0.84 (step @p37 :rule nary_cong :premises (@p36 @p35 @p34 @p33 @p32 @p31 @p30 @p29 @p28 @p27) :args ((or (not @t15) @t51 @t49 @t46 @t43 @t40 @t37 @t34 @t31 @t30))) % 0.32/0.84 (assume-push @p84 @t15) % 0.32/0.84 (assume-push @p85 @t50) % 0.32/0.84 (assume-push @p86 @t48) % 0.32/0.84 (assume-push @p87 @t45) % 0.32/0.84 (assume-push @p88 @t42) % 0.32/0.84 (assume-push @p89 @t39) % 0.32/0.84 (assume-push @p90 @t36) % 0.32/0.84 (assume-push @p91 @t33) % 0.32/0.84 (assume-push @p92 @t26) % 0.32/0.84 (step @p47 :rule false_intro :premises (@p8)) % 0.32/0.84 (step @p48 :rule symm :premises (@p9)) % 0.32/0.84 (step @p49 :rule refl :args (tptp.fixed_pt)) % 0.32/0.84 (step @p50 :rule cong :premises (@p49 @p48) :args ((tptp.apply tptp.fixed_pt @t47))) % 0.32/0.84 (step @p51 :rule symm :premises (@p10)) % 0.32/0.84 (step @p52 :rule symm :premises (@p11)) % 0.32/0.84 (step @p53 :rule symm :premises (@p12)) % 0.32/0.84 (step @p54 :rule refl :args (tptp.w1)) % 0.32/0.84 (step @p55 :rule symm :premises (@p13)) % 0.32/0.84 (step @p56 :rule cong :premises (@p55 @p54) :args (@t35)) % 0.32/0.84 (step @p57 :rule symm :premises (@p14)) % 0.32/0.84 (step @p58 :rule trans :premises (@p57 @p56 @p53 @p52 @p51)) % 0.32/0.84 (step @p59 :rule cong :premises (@p49 @p58) :args (@t32)) % 0.32/0.84 (step @p60 :rule refl :args (@t20)) % 0.32/0.84 (step @p20 :rule instantiate :premises (@p1) :args (@t25)) % 0.32/0.84 (step @p61 :rule cong :premises (@p20 @p60) :args (@t27)) % 0.32/0.84 (step @p62 :rule trans :premises (@p61 @p15 @p59 @p50)) % 0.32/0.84 (step @p63 :rule trans :premises (@p57 @p56 @p53 @p52 @p51 @p48)) % 0.32/0.84 (step @p64 :rule cong :premises (@p63 @p62) :args (@t29)) % 0.32/0.84 (step @p65 :rule trans :premises (@p64 @p47)) % 0.32/0.84 (step @p66 :rule false_elim :premises (@p65)) % 0.32/0.84 (step-pop @p93 :rule scope :premises (@p66)) % 0.32/0.84 (step-pop @p94 :rule scope :premises (@p93)) % 0.32/0.84 (step-pop @p95 :rule scope :premises (@p94)) % 0.32/0.84 (step-pop @p96 :rule scope :premises (@p95)) % 0.32/0.84 (step-pop @p97 :rule scope :premises (@p96)) % 0.32/0.84 (step-pop @p98 :rule scope :premises (@p97)) % 0.32/0.84 (step-pop @p99 :rule scope :premises (@p98)) % 0.32/0.84 (step-pop @p100 :rule scope :premises (@p99)) % 0.32/0.84 (step-pop @p101 :rule scope :premises (@p100)) % 0.32/0.84 (step @p67 :rule process_scope :premises (@p101) :args (@t30)) % 0.32/0.84 (step @p77 :rule implies_elim :premises (@p67)) % 0.32/0.84 (step @p78 :rule cnf_and_neg :args (@t52)) % 0.32/0.84 (step @p79 :rule resolution :premises (@p78 @p77) :args (true @t52)) % 0.32/0.84 (step @p80 :rule eq_resolve :premises (@p79 @p37)) % 0.32/0.84 (step @p81 false :rule chain_m_resolution :premises (@p80 @p26 @p25 @p15 @p14 @p13 @p12 @p11 @p10 @p9 @p8) :args (false (@list false false false false false false false false false true) (@list @t29 @t26 @t33 @t36 @t39 @t42 @t45 @t48 @t50 @t14))) % 0.32/0.84 ) % 0.32/0.84 % SZS output end Proof % 0.32/0.84 % cvc5 exiting %------------------------------------------------------------------------------