%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COL062-2 : TPTP v9.2.1. Bugfixed v1.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n027.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 08:09:52 AM UTC 2026 % Result : Unsatisfiable 0.38s 0.58s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COL062-2 : TPTP v9.2.1. Bugfixed v1.2.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n027.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 20:16:36 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.58 % SZS status Unsatisfiable % 0.38/0.58 % SZS output start Proof % 0.38/0.58 ( % 0.38/0.58 (declare-sort $$unsorted 0) % 0.38/0.58 (declare-const tptp.x $$unsorted) % 0.38/0.58 (declare-const tptp.z $$unsorted) % 0.38/0.58 (declare-const tptp.y $$unsorted) % 0.38/0.58 (declare-const tptp.t $$unsorted) % 0.38/0.58 (declare-const tptp.b $$unsorted) % 0.38/0.58 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (define @t1 () (@var "Z" $$unsorted)) % 0.38/0.58 (define @t2 () (@var "Y" $$unsorted)) % 0.38/0.58 (define @t3 () (@var "X" $$unsorted)) % 0.38/0.58 (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))))) % 0.38/0.58 (define @t5 () (forall (@list @t3 @t2) (= (tptp.apply (tptp.apply tptp.t @t3) @t2) (tptp.apply @t2 @t3)))) % 0.38/0.58 (define @t6 () (tptp.apply tptp.x tptp.z)) % 0.38/0.58 (define @t7 () (tptp.apply @t6 tptp.y)) % 0.38/0.58 (define @t8 () (tptp.apply (tptp.apply tptp.b tptp.b) tptp.t)) % 0.38/0.58 (define @t9 () (tptp.apply tptp.t @t8)) % 0.38/0.58 (define @t10 () (tptp.apply (tptp.apply (tptp.apply tptp.b @t9) @t8) tptp.x)) % 0.38/0.58 (define @t11 () (tptp.apply @t10 tptp.y)) % 0.38/0.58 (define @t12 () (tptp.apply @t11 tptp.z)) % 0.38/0.58 (define @t13 () (= @t12 @t7)) % 0.38/0.58 (define @t14 () (tptp.apply tptp.t tptp.y)) % 0.38/0.58 (define @t15 () (tptp.apply @t14 @t6)) % 0.38/0.58 (define @t16 () (= @t15 @t7)) % 0.38/0.58 (define @t17 () (@list tptp.y @t6)) % 0.38/0.58 (define @t18 () (= @t7 @t15)) % 0.38/0.58 (define @t19 () (@list false)) % 0.38/0.58 (define @t20 () (@list @t5)) % 0.38/0.58 (define @t21 () (tptp.apply tptp.b @t14)) % 0.38/0.58 (define @t22 () (tptp.apply @t21 tptp.x)) % 0.38/0.58 (define @t23 () (tptp.apply @t22 tptp.z)) % 0.38/0.58 (define @t24 () (= @t23 @t15)) % 0.38/0.58 (define @t25 () (@list @t14 tptp.x tptp.z)) % 0.38/0.58 (define @t26 () (= @t15 @t23)) % 0.38/0.58 (define @t27 () (@list @t4)) % 0.38/0.58 (define @t28 () (tptp.apply @t8 tptp.x)) % 0.38/0.58 (define @t29 () (tptp.apply tptp.t tptp.x)) % 0.38/0.58 (define @t30 () (tptp.apply @t8 tptp.y)) % 0.38/0.58 (define @t31 () (= @t30 @t21)) % 0.38/0.58 (define @t32 () (@list tptp.b tptp.t tptp.y)) % 0.38/0.58 (define @t33 () (= @t21 @t30)) % 0.38/0.58 (define @t34 () (tptp.apply @t29 @t21)) % 0.38/0.58 (define @t35 () (= @t34 @t22)) % 0.38/0.58 (define @t36 () (@list tptp.x @t21)) % 0.38/0.58 (define @t37 () (= @t22 @t34)) % 0.38/0.58 (define @t38 () (tptp.apply @t9 @t28)) % 0.38/0.58 (define @t39 () (= @t10 @t38)) % 0.38/0.58 (define @t40 () (tptp.apply tptp.b @t29)) % 0.38/0.58 (define @t41 () (= @t28 @t40)) % 0.38/0.58 (define @t42 () (tptp.apply @t28 @t8)) % 0.38/0.58 (define @t43 () (= @t38 @t42)) % 0.38/0.58 (define @t44 () (tptp.apply @t29 @t30)) % 0.38/0.58 (define @t45 () (= (tptp.apply (tptp.apply @t40 @t8) tptp.y) @t44)) % 0.38/0.58 (define @t46 () (and @t39 @t18 @t41 @t26 @t43 @t45 @t33 @t37)) % 0.38/0.58 (assume @p1 @t4) % 0.38/0.58 (assume @p2 @t5) % 0.38/0.58 (assume @p3 (not @t13)) % 0.38/0.58 (step @p4 :rule instantiate :premises (@p1) :args ((@list @t9 @t8 tptp.x))) % 0.38/0.58 (step @p5 :rule eq-symm :args (@t15 @t7)) % 0.38/0.58 (step @p6 :rule refl :args (@t5)) % 0.38/0.58 (step @p7 :rule cong :premises (@p6 @p5) :args ((=> @t5 @t16))) % 0.38/0.58 (assume-push @p79 @t5) % 0.38/0.58 (step @p9 :rule instantiate :premises (@p2) :args (@t17)) % 0.38/0.58 (step-pop @p80 :rule scope :premises (@p9)) % 0.38/0.58 (step @p10 :rule process_scope :premises (@p80) :args (@t16)) % 0.38/0.58 (step @p12 :rule eq_resolve :premises (@p10 @p7)) % 0.38/0.58 (step @p13 :rule implies_elim :premises (@p12)) % 0.38/0.58 (step @p14 :rule chain_m_resolution :premises (@p13 @p2) :args (@t18 @t19 @t20)) % 0.38/0.58 (step @p15 :rule instantiate :premises (@p1) :args ((@list tptp.b tptp.t tptp.x))) % 0.38/0.58 (step @p16 :rule eq-symm :args (@t23 @t15)) % 0.38/0.58 (step @p17 :rule refl :args (@t4)) % 0.38/0.58 (step @p18 :rule cong :premises (@p17 @p16) :args ((=> @t4 @t24))) % 0.38/0.58 (assume-push @p81 @t4) % 0.38/0.58 (step @p20 :rule instantiate :premises (@p1) :args (@t25)) % 0.38/0.58 (step-pop @p82 :rule scope :premises (@p20)) % 0.38/0.58 (step @p21 :rule process_scope :premises (@p82) :args (@t24)) % 0.38/0.58 (step @p23 :rule eq_resolve :premises (@p21 @p18)) % 0.38/0.58 (step @p24 :rule implies_elim :premises (@p23)) % 0.38/0.58 (step @p25 :rule chain_m_resolution :premises (@p24 @p1) :args (@t26 @t19 @t27)) % 0.38/0.58 (step @p26 :rule instantiate :premises (@p2) :args ((@list @t8 @t28))) % 0.38/0.58 (step @p27 :rule instantiate :premises (@p1) :args ((@list @t29 @t8 tptp.y))) % 0.38/0.58 (step @p28 :rule eq-symm :args (@t30 @t21)) % 0.38/0.58 (step @p29 :rule cong :premises (@p17 @p28) :args ((=> @t4 @t31))) % 0.38/0.58 (assume-push @p83 @t4) % 0.38/0.58 (step @p31 :rule instantiate :premises (@p1) :args (@t32)) % 0.38/0.58 (step-pop @p84 :rule scope :premises (@p31)) % 0.38/0.58 (step @p32 :rule process_scope :premises (@p84) :args (@t31)) % 0.38/0.58 (step @p34 :rule eq_resolve :premises (@p32 @p29)) % 0.38/0.58 (step @p35 :rule implies_elim :premises (@p34)) % 0.38/0.58 (step @p36 :rule chain_m_resolution :premises (@p35 @p1) :args (@t33 @t19 @t27)) % 0.38/0.58 (step @p37 :rule eq-symm :args (@t34 @t22)) % 0.38/0.58 (step @p38 :rule cong :premises (@p6 @p37) :args ((=> @t5 @t35))) % 0.38/0.58 (assume-push @p85 @t5) % 0.38/0.58 (step @p40 :rule instantiate :premises (@p2) :args (@t36)) % 0.38/0.58 (step-pop @p86 :rule scope :premises (@p40)) % 0.38/0.58 (step @p41 :rule process_scope :premises (@p86) :args (@t35)) % 0.38/0.58 (step @p43 :rule eq_resolve :premises (@p41 @p38)) % 0.38/0.58 (step @p44 :rule implies_elim :premises (@p43)) % 0.38/0.58 (step @p45 :rule chain_m_resolution :premises (@p44 @p2) :args (@t37 @t19 @t20)) % 0.38/0.58 (assume-push @p87 @t39) % 0.38/0.58 (assume-push @p88 @t18) % 0.38/0.58 (assume-push @p89 @t41) % 0.38/0.58 (assume-push @p90 @t26) % 0.38/0.58 (assume-push @p91 @t43) % 0.38/0.58 (assume-push @p92 @t45) % 0.38/0.58 (assume-push @p93 @t33) % 0.38/0.58 (assume-push @p94 @t37) % 0.38/0.58 (step @p9 :rule instantiate :premises (@p2) :args (@t17)) % 0.38/0.58 (step @p20 :rule instantiate :premises (@p1) :args (@t25)) % 0.38/0.58 (step @p54 :rule refl :args (tptp.z)) % 0.38/0.58 (step @p40 :rule instantiate :premises (@p2) :args (@t36)) % 0.38/0.58 (step @p31 :rule instantiate :premises (@p1) :args (@t32)) % 0.38/0.58 (step @p55 :rule refl :args (@t29)) % 0.38/0.58 (step @p56 :rule cong :premises (@p55 @p31) :args (@t44)) % 0.38/0.58 (step @p57 :rule refl :args (tptp.y)) % 0.38/0.58 (step @p58 :rule refl :args (@t8)) % 0.38/0.58 (step @p59 :rule cong :premises (@p15 @p58) :args (@t42)) % 0.38/0.58 (step @p60 :rule trans :premises (@p4 @p26 @p59)) % 0.38/0.58 (step @p61 :rule cong :premises (@p60 @p57) :args (@t11)) % 0.38/0.58 (step @p62 :rule trans :premises (@p61 @p27 @p56 @p40)) % 0.38/0.58 (step @p63 :rule cong :premises (@p62 @p54) :args (@t12)) % 0.38/0.58 (step @p64 :rule trans :premises (@p63 @p20 @p9)) % 0.38/0.58 (step-pop @p95 :rule scope :premises (@p64)) % 0.38/0.58 (step-pop @p96 :rule scope :premises (@p95)) % 0.38/0.58 (step-pop @p97 :rule scope :premises (@p96)) % 0.38/0.58 (step-pop @p98 :rule scope :premises (@p97)) % 0.38/0.58 (step-pop @p99 :rule scope :premises (@p98)) % 0.38/0.58 (step-pop @p100 :rule scope :premises (@p99)) % 0.38/0.58 (step-pop @p101 :rule scope :premises (@p100)) % 0.38/0.58 (step-pop @p102 :rule scope :premises (@p101)) % 0.38/0.58 (step @p65 :rule process_scope :premises (@p102) :args (@t13)) % 0.38/0.58 (step @p74 :rule implies_elim :premises (@p65)) % 0.38/0.58 (step @p75 :rule cnf_and_neg :args (@t46)) % 0.38/0.58 (step @p76 :rule resolution :premises (@p75 @p74) :args (true @t46)) % 0.38/0.58 (step @p77 :rule reordering :premises (@p76) :args ((or @t13 (not @t39) (not @t18) (not @t41) (not @t26) (not @t43) (not @t45) (not @t33) (not @t37)))) % 0.38/0.58 (step @p78 false :rule chain_m_resolution :premises (@p77 @p45 @p36 @p27 @p26 @p25 @p15 @p14 @p4 @p3) :args (false (@list false false false false false false false false true) (@list @t37 @t33 @t45 @t43 @t26 @t41 @t18 @t39 @t13))) % 0.38/0.58 ) % 0.38/0.58 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------