%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG011-1 : TPTP v9.2.1. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n017.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 08:04:55 AM UTC 2026 % Result : Unsatisfiable 0.36s 0.56s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG011-1 : TPTP v9.2.1. Released v2.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n017.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 : Wed Jun 3 01:34:31 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.56 % SZS status Unsatisfiable % 0.36/0.56 % SZS output start Proof % 0.36/0.57 ( % 0.36/0.57 (declare-sort $$unsorted 0) % 0.36/0.57 (declare-const tptp.a1 $$unsorted) % 0.36/0.57 (declare-const tptp.a2 $$unsorted) % 0.36/0.57 (declare-const tptp.c (-> $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.d (-> $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.f (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.57 (define @t1 () (@var "Z" $$unsorted)) % 0.36/0.57 (define @t2 () (@var "Y" $$unsorted)) % 0.36/0.57 (define @t3 () (@var "X" $$unsorted)) % 0.36/0.57 (define @t4 () (tptp.f @t3 @t2)) % 0.36/0.57 (define @t5 () (forall (@list @t3 @t2 @t1) (= (tptp.f @t3 (tptp.f @t2 @t1)) (tptp.f @t4 @t1)))) % 0.36/0.57 (define @t6 () (tptp.d @t3)) % 0.36/0.57 (define @t7 () (tptp.c @t3)) % 0.36/0.57 (define @t8 () (@list @t3)) % 0.36/0.57 (define @t9 () (not @t6)) % 0.36/0.57 (define @t10 () (not @t7)) % 0.36/0.57 (define @t11 () (tptp.c tptp.a1)) % 0.36/0.57 (define @t12 () (@list @t3 @t2)) % 0.36/0.57 (define @t13 () (tptp.f tptp.a1 tptp.a1)) % 0.36/0.57 (define @t14 () (tptp.f @t13 tptp.a1)) % 0.36/0.57 (define @t15 () (tptp.f @t13 @t13)) % 0.36/0.57 (define @t16 () (not @t11)) % 0.36/0.57 (define @t17 () (tptp.d @t13)) % 0.36/0.57 (define @t18 () (or @t17 @t16 @t16)) % 0.36/0.57 (define @t19 () (@list false false)) % 0.36/0.57 (define @t20 () (not @t17)) % 0.36/0.57 (define @t21 () (tptp.c @t15)) % 0.36/0.57 (define @t22 () (or @t21 @t20 @t20)) % 0.36/0.57 (define @t23 () (not (tptp.d @t15))) % 0.36/0.57 (define @t24 () (not @t21)) % 0.36/0.57 (define @t25 () (or @t24 @t23)) % 0.36/0.57 (define @t26 () (tptp.d (tptp.f @t14 tptp.a1))) % 0.36/0.57 (define @t27 () (tptp.c @t14)) % 0.36/0.57 (define @t28 () (not @t27)) % 0.36/0.57 (define @t29 () (or @t26 @t28 @t16)) % 0.36/0.57 (define @t30 () (tptp.d @t14)) % 0.36/0.57 (define @t31 () (or @t27 @t30)) % 0.36/0.57 (define @t32 () (not @t30)) % 0.36/0.57 (define @t33 () (tptp.f @t13 @t14)) % 0.36/0.57 (define @t34 () (tptp.c @t33)) % 0.36/0.57 (define @t35 () (or @t34 @t20 @t32)) % 0.36/0.57 (define @t36 () (@list false false false)) % 0.36/0.57 (define @t37 () (tptp.f @t15 tptp.a1)) % 0.36/0.57 (define @t38 () (= @t33 @t37)) % 0.36/0.57 (define @t39 () (tptp.c @t37)) % 0.36/0.57 (define @t40 () (tptp.d @t37)) % 0.36/0.57 (define @t41 () (or @t40 @t24 @t16)) % 0.36/0.57 (define @t42 () (not @t40)) % 0.36/0.57 (define @t43 () (not @t39)) % 0.36/0.57 (define @t44 () (or @t43 @t42)) % 0.36/0.57 (assume @p1 @t5) % 0.36/0.57 (assume @p2 (forall @t8 (or @t7 @t6))) % 0.36/0.57 (assume @p3 (forall @t8 (or @t10 @t9))) % 0.36/0.57 (assume @p4 @t11) % 0.36/0.57 (assume @p5 (tptp.d tptp.a2)) % 0.36/0.57 (assume @p6 (forall @t12 (or (tptp.d @t4) @t10 (not (tptp.c @t2))))) % 0.36/0.57 (assume @p7 (forall @t12 (or (tptp.c @t4) @t9 (not (tptp.d @t2))))) % 0.36/0.57 (step @p8 :rule evaluate :args ((= false true))) % 0.36/0.57 (step @p9 :rule instantiate :premises (@p7) :args ((@list @t13 @t14))) % 0.36/0.57 (step @p10 :rule instantiate :premises (@p2) :args ((@list @t14))) % 0.36/0.57 (step @p11 :rule instantiate :premises (@p6) :args ((@list @t14 tptp.a1))) % 0.36/0.57 (step @p12 :rule instantiate :premises (@p3) :args ((@list @t15))) % 0.36/0.57 (step @p13 :rule instantiate :premises (@p7) :args ((@list @t13 @t13))) % 0.36/0.57 (step @p14 :rule instantiate :premises (@p6) :args ((@list tptp.a1 tptp.a1))) % 0.36/0.57 (step @p15 :rule cnf_or_pos :args (@t18)) % 0.36/0.57 (step @p16 :rule factoring :premises (@p15)) % 0.36/0.57 (step @p17 :rule reordering :premises (@p16) :args ((or @t16 @t17 (not @t18)))) % 0.36/0.57 (step @p18 :rule chain_m_resolution :premises (@p17 @p4 @p14) :args (@t17 @t19 (@list @t11 @t18))) % 0.36/0.57 (step @p19 :rule cnf_or_pos :args (@t22)) % 0.36/0.57 (step @p20 :rule factoring :premises (@p19)) % 0.36/0.57 (step @p21 :rule reordering :premises (@p20) :args ((or @t20 @t21 (not @t22)))) % 0.36/0.57 (step @p22 :rule chain_m_resolution :premises (@p21 @p18 @p13) :args (@t21 @t19 (@list @t17 @t22))) % 0.36/0.57 (step @p23 :rule cnf_or_pos :args (@t25)) % 0.36/0.57 (step @p24 :rule reordering :premises (@p23) :args ((or @t24 @t23 (not @t25)))) % 0.36/0.57 (step @p25 :rule chain_m_resolution :premises (@p24 @p22 @p12) :args (@t23 @t19 (@list @t21 @t25))) % 0.36/0.57 (step @p26 :rule false_intro :premises (@p25)) % 0.36/0.57 (step @p27 :rule instantiate :premises (@p1) :args ((@list @t13 tptp.a1 tptp.a1))) % 0.36/0.57 (step @p28 :rule symm :premises (@p27)) % 0.36/0.57 (step @p29 :rule cong :premises (@p28) :args (@t26)) % 0.36/0.57 (step @p30 :rule trans :premises (@p29 @p26)) % 0.36/0.57 (step @p31 :rule false_elim :premises (@p30)) % 0.36/0.57 (step @p32 :rule cnf_or_pos :args (@t29)) % 0.36/0.57 (step @p33 :rule reordering :premises (@p32) :args ((or @t16 @t26 @t28 (not @t29)))) % 0.36/0.57 (step @p34 :rule chain_m_resolution :premises (@p33 @p4 @p31 @p11) :args (@t28 (@list false true false) (@list @t11 @t26 @t29))) % 0.36/0.57 (step @p35 :rule cnf_or_pos :args (@t31)) % 0.36/0.57 (step @p36 :rule reordering :premises (@p35) :args ((or @t27 @t30 (not @t31)))) % 0.36/0.57 (step @p37 :rule chain_m_resolution :premises (@p36 @p34 @p10) :args (@t30 (@list true false) (@list @t27 @t31))) % 0.36/0.57 (step @p38 :rule cnf_or_pos :args (@t35)) % 0.36/0.57 (step @p39 :rule reordering :premises (@p38) :args ((or @t20 @t34 @t32 (not @t35)))) % 0.36/0.57 (step @p40 :rule chain_m_resolution :premises (@p39 @p18 @p37 @p9) :args (@t34 @t36 (@list @t17 @t30 @t35))) % 0.36/0.57 (step @p41 :rule true_intro :premises (@p40)) % 0.36/0.57 (step @p42 :rule eq-symm :args (@t33 @t37)) % 0.36/0.57 (step @p43 :rule refl :args (@t5)) % 0.36/0.57 (step @p44 :rule cong :premises (@p43 @p42) :args ((=> @t5 @t38))) % 0.36/0.57 (assume-push @p65 @t5) % 0.36/0.57 (step @p46 :rule instantiate :premises (@p1) :args ((@list @t13 @t13 tptp.a1))) % 0.36/0.57 (step-pop @p66 :rule scope :premises (@p46)) % 0.36/0.57 (step @p47 :rule process_scope :premises (@p66) :args (@t38)) % 0.36/0.57 (step @p49 :rule eq_resolve :premises (@p47 @p44)) % 0.36/0.57 (step @p50 :rule implies_elim :premises (@p49)) % 0.36/0.57 (step @p51 :rule chain_m_resolution :premises (@p50 @p1) :args ((= @t37 @t33) (@list false) (@list @t5))) % 0.36/0.57 (step @p52 :rule cong :premises (@p51) :args (@t39)) % 0.36/0.57 (step @p53 :rule instantiate :premises (@p3) :args ((@list @t37))) % 0.36/0.57 (step @p54 :rule instantiate :premises (@p6) :args ((@list @t15 tptp.a1))) % 0.36/0.57 (step @p55 :rule cnf_or_pos :args (@t41)) % 0.36/0.57 (step @p56 :rule reordering :premises (@p55) :args ((or @t16 @t24 @t40 (not @t41)))) % 0.36/0.57 (step @p57 :rule chain_m_resolution :premises (@p56 @p4 @p22 @p54) :args (@t40 @t36 (@list @t11 @t21 @t41))) % 0.36/0.57 (step @p58 :rule cnf_or_pos :args (@t44)) % 0.36/0.57 (step @p59 :rule reordering :premises (@p58) :args ((or @t42 @t43 (not @t44)))) % 0.36/0.57 (step @p60 :rule chain_m_resolution :premises (@p59 @p57 @p53) :args (@t43 @t19 (@list @t40 @t44))) % 0.36/0.57 (step @p61 :rule false_intro :premises (@p60)) % 0.36/0.57 (step @p62 :rule symm :premises (@p61)) % 0.36/0.57 (step @p63 :rule trans :premises (@p62 @p52 @p41)) % 0.36/0.57 (step @p64 false :rule eq_resolve :premises (@p63 @p8)) % 0.36/0.57 ) % 0.36/0.57 % SZS output end Proof % 0.36/0.57 % cvc5 exiting %------------------------------------------------------------------------------