%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COL004-3 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n002.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 08:09:44 AM UTC 2026 % Result : Unsatisfiable 0.31s 0.53s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : COL004-3 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.14/0.32 % Computer : n002.cluster.edu % 0.14/0.32 % Model : x86_64 x86_64 % 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.32 % Memory : 8042.1875MB % 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.32 % CPULimit : 300 % 0.14/0.32 % WCLimit : 300 % 0.14/0.32 % DateTime : Mon Jun 1 20:17:18 EDT 2026 % 0.14/0.32 % CPUTime : % 0.31/0.47 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.48 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.31/0.53 % SZS status Unsatisfiable % 0.31/0.53 % SZS output start Proof % 0.31/0.53 ( % 0.31/0.53 (declare-sort $$unsorted 0) % 0.31/0.53 (declare-const tptp.x $$unsorted) % 0.31/0.53 (declare-const tptp.y $$unsorted) % 0.31/0.53 (declare-const tptp.k $$unsorted) % 0.31/0.53 (declare-const tptp.s $$unsorted) % 0.31/0.53 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.53 (define @t1 () (@var "Z" $$unsorted)) % 0.31/0.53 (define @t2 () (@var "Y" $$unsorted)) % 0.31/0.53 (define @t3 () (@var "X" $$unsorted)) % 0.31/0.53 (define @t4 () (tptp.apply (tptp.apply tptp.k @t3) @t2)) % 0.31/0.53 (define @t5 () (forall (@list @t3 @t2) (= @t4 @t3))) % 0.31/0.53 (define @t6 () (tptp.apply (tptp.apply tptp.s tptp.k) tptp.k)) % 0.31/0.53 (define @t7 () (tptp.apply tptp.s @t6)) % 0.31/0.53 (define @t8 () (tptp.apply @t7 @t6)) % 0.31/0.53 (define @t9 () (tptp.apply tptp.k @t7)) % 0.31/0.53 (define @t10 () (tptp.apply (tptp.apply (tptp.apply tptp.s @t9) @t8) tptp.x)) % 0.31/0.53 (define @t11 () (tptp.apply @t10 tptp.y)) % 0.31/0.53 (define @t12 () (= @t11 (tptp.apply tptp.y (tptp.apply (tptp.apply tptp.x tptp.x) tptp.y)))) % 0.31/0.53 (define @t13 () (tptp.apply @t8 tptp.x)) % 0.31/0.53 (define @t14 () (tptp.apply tptp.k tptp.x)) % 0.31/0.53 (define @t15 () (tptp.apply tptp.k tptp.y)) % 0.31/0.53 (define @t16 () (tptp.apply @t9 tptp.x)) % 0.31/0.53 (define @t17 () (tptp.apply @t16 @t13)) % 0.31/0.53 (define @t18 () (= @t10 @t17)) % 0.31/0.53 (define @t19 () (tptp.apply @t6 tptp.x)) % 0.31/0.53 (define @t20 () (tptp.apply @t19 @t19)) % 0.31/0.53 (define @t21 () (= @t13 @t20)) % 0.31/0.53 (define @t22 () (= @t7 @t16)) % 0.31/0.53 (define @t23 () (tptp.apply @t13 tptp.y)) % 0.31/0.53 (define @t24 () (tptp.apply @t6 tptp.y)) % 0.31/0.53 (define @t25 () (tptp.apply @t24 @t23)) % 0.31/0.53 (define @t26 () (= (tptp.apply (tptp.apply @t7 @t13) tptp.y) @t25)) % 0.31/0.53 (define @t27 () (tptp.apply @t14 @t14)) % 0.31/0.53 (define @t28 () (= @t19 @t27)) % 0.31/0.53 (define @t29 () (tptp.apply @t15 @t15)) % 0.31/0.53 (define @t30 () (= @t24 @t29)) % 0.31/0.53 (define @t31 () (= tptp.x @t27)) % 0.31/0.53 (define @t32 () (= tptp.y @t29)) % 0.31/0.53 (define @t33 () (and @t18 @t21 @t22 @t26 @t28 @t30 @t31 @t32)) % 0.31/0.53 (assume @p1 (forall (@list @t3 @t2 @t1) (= (tptp.apply (tptp.apply (tptp.apply tptp.s @t3) @t2) @t1) (tptp.apply (tptp.apply @t3 @t1) (tptp.apply @t2 @t1))))) % 0.31/0.53 (assume @p2 @t5) % 0.31/0.53 (assume @p3 (not @t12)) % 0.31/0.53 (step @p4 :rule instantiate :premises (@p1) :args ((@list @t9 @t8 tptp.x))) % 0.31/0.53 (step @p5 :rule instantiate :premises (@p1) :args ((@list @t6 @t6 tptp.x))) % 0.31/0.53 (step @p6 :rule eq-symm :args (@t4 @t3)) % 0.31/0.53 (step @p7 :rule cong :premises (@p6) :args (@t5)) % 0.31/0.53 (step @p8 :rule eq_resolve :premises (@p2 @p7)) % 0.31/0.53 (step @p9 :rule instantiate :premises (@p8) :args ((@list @t7 tptp.x))) % 0.31/0.53 (step @p10 :rule instantiate :premises (@p1) :args ((@list @t6 @t13 tptp.y))) % 0.31/0.53 (step @p11 :rule instantiate :premises (@p1) :args ((@list tptp.k tptp.k tptp.x))) % 0.31/0.53 (step @p12 :rule instantiate :premises (@p1) :args ((@list tptp.k tptp.k tptp.y))) % 0.31/0.53 (step @p13 :rule instantiate :premises (@p8) :args ((@list tptp.x @t14))) % 0.31/0.53 (step @p14 :rule instantiate :premises (@p8) :args ((@list tptp.y @t15))) % 0.31/0.53 (assume-push @p52 @t18) % 0.31/0.53 (assume-push @p53 @t21) % 0.31/0.53 (assume-push @p54 @t22) % 0.31/0.53 (assume-push @p55 @t26) % 0.31/0.53 (assume-push @p56 @t28) % 0.31/0.53 (assume-push @p57 @t30) % 0.31/0.53 (assume-push @p58 @t31) % 0.31/0.53 (assume-push @p59 @t32) % 0.31/0.53 (step @p23 :rule refl :args (tptp.y)) % 0.31/0.53 (step @p24 :rule symm :premises (@p13)) % 0.31/0.53 (step @p25 :rule cong :premises (@p24 @p24) :args ((tptp.apply @t27 @t27))) % 0.31/0.53 (step @p26 :rule cong :premises (@p11 @p11) :args (@t20)) % 0.31/0.53 (step @p27 :rule trans :premises (@p5 @p26 @p25)) % 0.31/0.53 (step @p28 :rule cong :premises (@p27 @p23) :args (@t23)) % 0.31/0.53 (step @p29 :rule symm :premises (@p14)) % 0.31/0.53 (step @p30 :rule trans :premises (@p12 @p29)) % 0.31/0.53 (step @p31 :rule cong :premises (@p30 @p28) :args (@t25)) % 0.31/0.53 (step @p32 :rule refl :args (@t13)) % 0.31/0.53 (step @p33 :rule symm :premises (@p9)) % 0.31/0.53 (step @p34 :rule cong :premises (@p33 @p32) :args (@t17)) % 0.31/0.53 (step @p35 :rule trans :premises (@p4 @p34)) % 0.31/0.53 (step @p36 :rule cong :premises (@p35 @p23) :args (@t11)) % 0.31/0.53 (step @p37 :rule trans :premises (@p36 @p10 @p31)) % 0.31/0.53 (step-pop @p60 :rule scope :premises (@p37)) % 0.31/0.53 (step-pop @p61 :rule scope :premises (@p60)) % 0.31/0.53 (step-pop @p62 :rule scope :premises (@p61)) % 0.31/0.53 (step-pop @p63 :rule scope :premises (@p62)) % 0.31/0.53 (step-pop @p64 :rule scope :premises (@p63)) % 0.31/0.53 (step-pop @p65 :rule scope :premises (@p64)) % 0.31/0.53 (step-pop @p66 :rule scope :premises (@p65)) % 0.31/0.53 (step-pop @p67 :rule scope :premises (@p66)) % 0.31/0.53 (step @p38 :rule process_scope :premises (@p67) :args (@t12)) % 0.31/0.53 (step @p47 :rule implies_elim :premises (@p38)) % 0.31/0.53 (step @p48 :rule cnf_and_neg :args (@t33)) % 0.31/0.53 (step @p49 :rule resolution :premises (@p48 @p47) :args (true @t33)) % 0.31/0.53 (step @p50 :rule reordering :premises (@p49) :args ((or @t12 (not @t18) (not @t21) (not @t22) (not @t26) (not @t28) (not @t30) (not @t31) (not @t32)))) % 0.31/0.53 (step @p51 false :rule chain_m_resolution :premises (@p50 @p14 @p13 @p12 @p11 @p10 @p9 @p5 @p4 @p3) :args (false (@list false false false false false false false false true) (@list @t32 @t31 @t30 @t28 @t26 @t22 @t21 @t18 @t12))) % 0.31/0.53 ) % 0.31/0.53 % SZS output end Proof % 0.31/0.53 % cvc5 exiting %------------------------------------------------------------------------------