%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COL066-3 : TPTP v9.2.1. Bugfixed 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 : n018.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 08:09:54 AM UTC 2026 % Result : Unsatisfiable 0.41s 0.62s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COL066-3 : TPTP v9.2.1. Bugfixed v1.2.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n018.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Mon Jun 1 20:19:50 EDT 2026 % 0.16/0.34 % CPUTime : % 0.33/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.33/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.41/0.62 % SZS status Unsatisfiable % 0.41/0.62 % SZS output start Proof % 0.41/0.63 ( % 0.41/0.63 (declare-sort $$unsorted 0) % 0.41/0.63 (declare-const tptp.x $$unsorted) % 0.41/0.63 (declare-const tptp.z $$unsorted) % 0.41/0.63 (declare-const tptp.w $$unsorted) % 0.41/0.63 (declare-const tptp.q $$unsorted) % 0.41/0.63 (declare-const tptp.y $$unsorted) % 0.41/0.63 (declare-const tptp.b $$unsorted) % 0.41/0.63 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.41/0.63 (define @t1 () (@var "Z" $$unsorted)) % 0.41/0.63 (define @t2 () (@var "Y" $$unsorted)) % 0.41/0.63 (define @t3 () (@var "X" $$unsorted)) % 0.41/0.63 (define @t4 () (@list @t3 @t2 @t1)) % 0.41/0.63 (define @t5 () (forall @t4 (= (tptp.apply (tptp.apply (tptp.apply tptp.q @t3) @t2) @t1) (tptp.apply @t2 (tptp.apply @t3 @t1))))) % 0.41/0.63 (define @t6 () (tptp.apply tptp.x tptp.y)) % 0.41/0.63 (define @t7 () (tptp.apply @t6 (tptp.apply @t6 tptp.z))) % 0.41/0.63 (define @t8 () (tptp.apply tptp.q tptp.q)) % 0.41/0.63 (define @t9 () (tptp.apply tptp.q @t8)) % 0.41/0.63 (define @t10 () (tptp.apply tptp.w @t9)) % 0.41/0.63 (define @t11 () (tptp.apply (tptp.apply (tptp.apply tptp.b @t10) tptp.q) tptp.x)) % 0.41/0.63 (define @t12 () (tptp.apply @t11 tptp.y)) % 0.41/0.63 (define @t13 () (tptp.apply @t12 tptp.y)) % 0.41/0.63 (define @t14 () (tptp.apply @t13 tptp.z)) % 0.41/0.63 (define @t15 () (= @t14 @t7)) % 0.41/0.63 (define @t16 () (tptp.apply tptp.q @t6)) % 0.41/0.63 (define @t17 () (tptp.apply @t16 @t6)) % 0.41/0.63 (define @t18 () (tptp.apply @t17 tptp.z)) % 0.41/0.63 (define @t19 () (= @t18 @t7)) % 0.41/0.63 (define @t20 () (@list @t6 @t6 tptp.z)) % 0.41/0.63 (define @t21 () (= @t7 @t18)) % 0.41/0.63 (define @t22 () (@list false)) % 0.41/0.63 (define @t23 () (@list @t5)) % 0.41/0.63 (define @t24 () (tptp.apply tptp.q tptp.x)) % 0.41/0.63 (define @t25 () (tptp.apply @t24 @t16)) % 0.41/0.63 (define @t26 () (tptp.apply @t25 tptp.y)) % 0.41/0.63 (define @t27 () (= @t26 @t17)) % 0.41/0.63 (define @t28 () (@list tptp.x @t16 tptp.y)) % 0.41/0.63 (define @t29 () (= @t17 @t26)) % 0.41/0.63 (define @t30 () (tptp.apply @t8 @t24)) % 0.41/0.63 (define @t31 () (tptp.apply @t30 @t6)) % 0.41/0.63 (define @t32 () (= @t31 @t25)) % 0.41/0.63 (define @t33 () (@list tptp.q @t24 @t6)) % 0.41/0.63 (define @t34 () (= @t25 @t31)) % 0.41/0.63 (define @t35 () (tptp.apply @t24 @t30)) % 0.41/0.63 (define @t36 () (tptp.apply @t35 tptp.y)) % 0.41/0.63 (define @t37 () (= @t36 @t31)) % 0.41/0.63 (define @t38 () (@list tptp.x @t30 tptp.y)) % 0.41/0.63 (define @t39 () (= @t31 @t36)) % 0.41/0.63 (define @t40 () (tptp.apply @t10 @t24)) % 0.41/0.63 (define @t41 () (= @t11 @t40)) % 0.41/0.63 (define @t42 () (tptp.apply (tptp.apply @t9 @t24) @t24)) % 0.41/0.63 (define @t43 () (= @t40 @t42)) % 0.41/0.63 (define @t44 () (= @t42 @t35)) % 0.41/0.63 (define @t45 () (and @t41 @t21 @t29 @t43 @t44 @t34 @t39)) % 0.41/0.63 (assume @p1 (forall @t4 (= (tptp.apply (tptp.apply (tptp.apply tptp.b @t3) @t2) @t1) (tptp.apply @t3 (tptp.apply @t2 @t1))))) % 0.41/0.63 (assume @p2 @t5) % 0.41/0.63 (assume @p3 (forall (@list @t3 @t2) (= (tptp.apply (tptp.apply tptp.w @t3) @t2) (tptp.apply (tptp.apply @t3 @t2) @t2)))) % 0.41/0.63 (assume @p4 (not @t15)) % 0.41/0.63 (step @p5 :rule instantiate :premises (@p1) :args ((@list @t10 tptp.q tptp.x))) % 0.41/0.63 (step @p6 :rule eq-symm :args (@t18 @t7)) % 0.41/0.63 (step @p7 :rule refl :args (@t5)) % 0.41/0.63 (step @p8 :rule cong :premises (@p7 @p6) :args ((=> @t5 @t19))) % 0.41/0.63 (assume-push @p74 @t5) % 0.41/0.63 (step @p10 :rule instantiate :premises (@p2) :args (@t20)) % 0.41/0.63 (step-pop @p75 :rule scope :premises (@p10)) % 0.41/0.63 (step @p11 :rule process_scope :premises (@p75) :args (@t19)) % 0.41/0.63 (step @p13 :rule eq_resolve :premises (@p11 @p8)) % 0.41/0.63 (step @p14 :rule implies_elim :premises (@p13)) % 0.41/0.63 (step @p15 :rule chain_m_resolution :premises (@p14 @p2) :args (@t21 @t22 @t23)) % 0.41/0.63 (step @p16 :rule eq-symm :args (@t26 @t17)) % 0.41/0.63 (step @p17 :rule cong :premises (@p7 @p16) :args ((=> @t5 @t27))) % 0.41/0.63 (assume-push @p76 @t5) % 0.41/0.63 (step @p19 :rule instantiate :premises (@p2) :args (@t28)) % 0.41/0.63 (step-pop @p77 :rule scope :premises (@p19)) % 0.41/0.63 (step @p20 :rule process_scope :premises (@p77) :args (@t27)) % 0.41/0.63 (step @p22 :rule eq_resolve :premises (@p20 @p17)) % 0.41/0.63 (step @p23 :rule implies_elim :premises (@p22)) % 0.41/0.63 (step @p24 :rule chain_m_resolution :premises (@p23 @p2) :args (@t29 @t22 @t23)) % 0.41/0.63 (step @p25 :rule instantiate :premises (@p3) :args ((@list @t9 @t24))) % 0.41/0.63 (step @p26 :rule instantiate :premises (@p2) :args ((@list @t8 @t24 @t24))) % 0.41/0.63 (step @p27 :rule eq-symm :args (@t31 @t25)) % 0.41/0.63 (step @p28 :rule cong :premises (@p7 @p27) :args ((=> @t5 @t32))) % 0.41/0.63 (assume-push @p78 @t5) % 0.41/0.63 (step @p30 :rule instantiate :premises (@p2) :args (@t33)) % 0.41/0.63 (step-pop @p79 :rule scope :premises (@p30)) % 0.41/0.63 (step @p31 :rule process_scope :premises (@p79) :args (@t32)) % 0.41/0.63 (step @p33 :rule eq_resolve :premises (@p31 @p28)) % 0.41/0.63 (step @p34 :rule implies_elim :premises (@p33)) % 0.41/0.63 (step @p35 :rule chain_m_resolution :premises (@p34 @p2) :args (@t34 @t22 @t23)) % 0.41/0.63 (step @p36 :rule eq-symm :args (@t36 @t31)) % 0.41/0.63 (step @p37 :rule cong :premises (@p7 @p36) :args ((=> @t5 @t37))) % 0.41/0.63 (assume-push @p80 @t5) % 0.41/0.63 (step @p39 :rule instantiate :premises (@p2) :args (@t38)) % 0.41/0.63 (step-pop @p81 :rule scope :premises (@p39)) % 0.41/0.63 (step @p40 :rule process_scope :premises (@p81) :args (@t37)) % 0.41/0.63 (step @p42 :rule eq_resolve :premises (@p40 @p37)) % 0.41/0.63 (step @p43 :rule implies_elim :premises (@p42)) % 0.41/0.63 (step @p44 :rule chain_m_resolution :premises (@p43 @p2) :args (@t39 @t22 @t23)) % 0.41/0.63 (assume-push @p82 @t41) % 0.41/0.63 (assume-push @p83 @t21) % 0.41/0.63 (assume-push @p84 @t29) % 0.41/0.63 (assume-push @p85 @t43) % 0.41/0.63 (assume-push @p86 @t44) % 0.41/0.63 (assume-push @p87 @t34) % 0.41/0.63 (assume-push @p88 @t39) % 0.41/0.63 (step @p10 :rule instantiate :premises (@p2) :args (@t20)) % 0.41/0.63 (step @p52 :rule refl :args (tptp.z)) % 0.41/0.63 (step @p19 :rule instantiate :premises (@p2) :args (@t28)) % 0.41/0.63 (step @p53 :rule refl :args (tptp.y)) % 0.41/0.63 (step @p30 :rule instantiate :premises (@p2) :args (@t33)) % 0.41/0.63 (step @p39 :rule instantiate :premises (@p2) :args (@t38)) % 0.41/0.63 (step @p54 :rule trans :premises (@p5 @p25 @p26)) % 0.41/0.63 (step @p55 :rule cong :premises (@p54 @p53) :args (@t12)) % 0.41/0.63 (step @p56 :rule trans :premises (@p55 @p39 @p30)) % 0.41/0.63 (step @p57 :rule cong :premises (@p56 @p53) :args (@t13)) % 0.41/0.63 (step @p58 :rule trans :premises (@p57 @p19)) % 0.41/0.63 (step @p59 :rule cong :premises (@p58 @p52) :args (@t14)) % 0.41/0.63 (step @p60 :rule trans :premises (@p59 @p10)) % 0.41/0.63 (step-pop @p89 :rule scope :premises (@p60)) % 0.41/0.63 (step-pop @p90 :rule scope :premises (@p89)) % 0.41/0.63 (step-pop @p91 :rule scope :premises (@p90)) % 0.41/0.63 (step-pop @p92 :rule scope :premises (@p91)) % 0.41/0.63 (step-pop @p93 :rule scope :premises (@p92)) % 0.41/0.63 (step-pop @p94 :rule scope :premises (@p93)) % 0.41/0.63 (step-pop @p95 :rule scope :premises (@p94)) % 0.41/0.63 (step @p61 :rule process_scope :premises (@p95) :args (@t15)) % 0.41/0.63 (step @p69 :rule implies_elim :premises (@p61)) % 0.41/0.63 (step @p70 :rule cnf_and_neg :args (@t45)) % 0.41/0.63 (step @p71 :rule resolution :premises (@p70 @p69) :args (true @t45)) % 0.41/0.63 (step @p72 :rule reordering :premises (@p71) :args ((or @t15 (not @t41) (not @t21) (not @t29) (not @t43) (not @t44) (not @t34) (not @t39)))) % 0.41/0.63 (step @p73 false :rule chain_m_resolution :premises (@p72 @p44 @p35 @p26 @p25 @p24 @p15 @p5 @p4) :args (false (@list false false false false false false false true) (@list @t39 @t34 @t44 @t43 @t29 @t21 @t41 @t15))) % 0.41/0.63 ) % 0.41/0.63 % SZS output end Proof % 0.41/0.63 % cvc5 exiting %------------------------------------------------------------------------------