%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN409+1 : TPTP v9.2.1. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n022.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 09:08:49 AM UTC 2026 % Result : Theorem 0.31s 0.55s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN409+1 : TPTP v9.2.1. Released v2.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n022.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 23:26:53 EDT 2026 % 0.17/0.35 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.31/0.55 % SZS status Theorem % 0.31/0.55 % SZS output start Proof % 0.31/0.55 ( % 0.31/0.55 (declare-sort $$unsorted 0) % 0.31/0.55 (declare-const tptp.f (-> $$unsorted Bool)) % 0.31/0.55 (define @t1 () (@var "Z" $$unsorted)) % 0.31/0.55 (define @t2 () (tptp.f @t1)) % 0.31/0.55 (define @t3 () (@var "Y" $$unsorted)) % 0.31/0.55 (define @t4 () (tptp.f @t3)) % 0.31/0.55 (define @t5 () (@list @t3 @t1)) % 0.31/0.55 (define @t6 () (forall @t5 (and @t4 @t2))) % 0.31/0.55 (define @t7 () (@var "X" $$unsorted)) % 0.31/0.55 (define @t8 () (forall (@list @t7) (tptp.f @t7))) % 0.31/0.55 (define @t9 () (= @t8 @t6)) % 0.31/0.55 (define @t10 () (not @t9)) % 0.31/0.55 (define @t11 () (@list @t7)) % 0.31/0.55 (define @t12 () (@var "BOUND_VARIABLE_7422" $$unsorted)) % 0.31/0.55 (define @t13 () (@var "BOUND_VARIABLE_7431" $$unsorted)) % 0.31/0.55 (define @t14 () (tptp.f @t13)) % 0.31/0.55 (define @t15 () (forall (@list @t13) @t14)) % 0.31/0.55 (define @t16 () (@var "BOUND_VARIABLE_7429" $$unsorted)) % 0.31/0.55 (define @t17 () (forall (@list @t16 @t13) @t14)) % 0.31/0.55 (define @t18 () (tptp.f @t12)) % 0.31/0.55 (define @t19 () (forall (@list @t12) @t18)) % 0.31/0.55 (define @t20 () (@var "BOUND_VARIABLE_7424" $$unsorted)) % 0.31/0.55 (define @t21 () (forall (@list @t12 @t20) @t18)) % 0.31/0.55 (define @t22 () (forall @t5 @t2)) % 0.31/0.55 (define @t23 () (@list @t3 @t1)) % 0.31/0.55 (define @t24 () (forall @t5 @t4)) % 0.31/0.55 (define @t25 () (and @t24 @t22)) % 0.31/0.55 (define @t26 () (and @t19 @t15)) % 0.31/0.55 (define @t27 () (not @t26)) % 0.31/0.55 (define @t28 () (@list false)) % 0.31/0.55 (define @t29 () (@list @t8)) % 0.31/0.55 (define @t30 () (not @t8)) % 0.31/0.55 (assume @p1 @t10) % 0.31/0.55 (assume @p2 true) % 0.31/0.55 (step @p3 :rule alpha_equiv :args (@t8 @t11 (@list @t12))) % 0.31/0.55 (step @p4 :rule equiv_elim2 :premises (@p3)) % 0.31/0.55 (step @p5 :rule quant-unused-vars :args ((= @t17 @t15))) % 0.31/0.55 (step @p6 :rule quant-unused-vars :args ((= @t21 @t19))) % 0.31/0.55 (step @p7 :rule nary_cong :premises (@p6 @p5) :args ((and @t21 @t17))) % 0.31/0.55 (step @p8 :rule alpha_equiv :args (@t22 @t23 (@list @t16 @t13))) % 0.31/0.55 (step @p9 :rule alpha_equiv :args (@t24 @t23 (@list @t12 @t20))) % 0.31/0.55 (step @p10 :rule nary_cong :premises (@p9 @p8) :args (@t25)) % 0.31/0.55 (step @p11 :rule quant-miniscope-and :args ((= @t6 @t25))) % 0.31/0.55 (step @p12 :rule trans :premises (@p11 @p10)) % 0.31/0.55 (step @p13 :rule trans :premises (@p12 @p7)) % 0.31/0.55 (step @p14 :rule refl :args (@t8)) % 0.31/0.55 (step @p15 :rule cong :premises (@p14 @p13) :args (@t9)) % 0.31/0.55 (step @p16 :rule cong :premises (@p15) :args (@t10)) % 0.31/0.55 (step @p17 :rule eq_resolve :premises (@p1 @p16)) % 0.31/0.55 (step @p18 :rule not_equiv_elim1 :premises (@p17)) % 0.31/0.55 (step @p19 :rule cnf_and_pos :args (@t26 0)) % 0.31/0.55 (step @p20 :rule reordering :premises (@p19) :args ((or @t19 @t27))) % 0.31/0.55 (step @p21 :rule chain_m_resolution :premises (@p20 @p18 @p4) :args (@t8 (@list false true) (@list @t26 @t19))) % 0.31/0.55 (step @p22 :rule not_equiv_elim2 :premises (@p17)) % 0.31/0.55 (step @p23 :rule chain_m_resolution :premises (@p22 @p21) :args (@t27 @t28 @t29)) % 0.31/0.55 (step @p24 :rule equiv_elim1 :premises (@p3)) % 0.31/0.55 (step @p25 :rule reordering :premises (@p24) :args ((or @t19 @t30))) % 0.31/0.55 (step @p26 :rule chain_m_resolution :premises (@p25 @p21) :args (@t19 @t28 @t29)) % 0.31/0.55 (step @p27 :rule alpha_equiv :args (@t8 @t11 (@list @t13))) % 0.31/0.55 (step @p28 :rule equiv_elim1 :premises (@p27)) % 0.31/0.55 (step @p29 :rule reordering :premises (@p28) :args ((or @t15 @t30))) % 0.31/0.55 (step @p30 :rule chain_m_resolution :premises (@p29 @p21) :args (@t15 @t28 @t29)) % 0.31/0.55 (step @p31 :rule cnf_and_neg :args (@t26)) % 0.31/0.55 (step @p32 false :rule chain_m_resolution :premises (@p31 @p30 @p26 @p23) :args (false (@list false false true) (@list @t15 @t19 @t26))) % 0.31/0.55 ) % 0.31/0.55 % SZS output end Proof % 0.31/0.55 % cvc5 exiting %------------------------------------------------------------------------------