%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN378+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 : n012.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 09:08:44 AM UTC 2026 % Result : Theorem 0.16s 0.37s % Output : Proof 0.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SYN378+1 : TPTP v9.2.1. Released v2.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n012.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Tue Jun 2 23:25:33 EDT 2026 % 0.08/0.25 % CPUTime : % 0.16/0.34 %----Proving TF0_NAR, FOF, or CNF % 0.16/0.37 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.16/0.37 % SZS status Theorem % 0.16/0.37 % SZS output start Proof % 0.16/0.37 ( % 0.16/0.37 (declare-sort $$unsorted 0) % 0.16/0.37 (declare-const tptp.big_p (-> $$unsorted Bool)) % 0.16/0.37 (declare-const tptp.big_q (-> $$unsorted Bool)) % 0.16/0.37 (define @t1 () (@var "Z" $$unsorted)) % 0.16/0.37 (define @t2 () (tptp.big_q @t1)) % 0.16/0.37 (define @t3 () (tptp.big_p @t1)) % 0.16/0.37 (define @t4 () (=> @t3 @t2)) % 0.16/0.37 (define @t5 () (@list @t1)) % 0.16/0.37 (define @t6 () (exists @t5 @t4)) % 0.16/0.37 (define @t7 () (@var "Y" $$unsorted)) % 0.16/0.37 (define @t8 () (tptp.big_q @t7)) % 0.16/0.37 (define @t9 () (@list @t7)) % 0.16/0.37 (define @t10 () (exists @t9 @t8)) % 0.16/0.37 (define @t11 () (not @t10)) % 0.16/0.37 (define @t12 () (or @t11 @t6)) % 0.16/0.37 (define @t13 () (@var "X" $$unsorted)) % 0.16/0.37 (define @t14 () (forall (@list @t13) (tptp.big_p @t13))) % 0.16/0.37 (define @t15 () (=> @t14 @t12)) % 0.16/0.37 (define @t16 () (not @t15)) % 0.16/0.37 (define @t17 () (not @t2)) % 0.16/0.37 (define @t18 () (forall @t5 @t17)) % 0.16/0.37 (define @t19 () (@list @t1)) % 0.16/0.37 (define @t20 () (@var "BOUND_VARIABLE_7443" $$unsorted)) % 0.16/0.37 (define @t21 () (@list @t20)) % 0.16/0.37 (define @t22 () (forall @t5 @t3)) % 0.16/0.37 (define @t23 () (and @t22 @t18)) % 0.16/0.37 (define @t24 () (forall @t5 (not @t4))) % 0.16/0.37 (define @t25 () (not @t24)) % 0.16/0.37 (define @t26 () (forall @t9 (not @t8))) % 0.16/0.37 (define @t27 () (forall (@list @t20) (not (tptp.big_q @t20)))) % 0.16/0.37 (define @t28 () (@list true)) % 0.16/0.37 (assume @p1 @t16) % 0.16/0.37 (assume @p2 true) % 0.16/0.37 (step @p3 :rule alpha_equiv :args (@t18 @t19 @t21)) % 0.16/0.37 (step @p4 :rule alpha_equiv :args (@t22 @t19 (@list (@var "BOUND_VARIABLE_7438" $$unsorted)))) % 0.16/0.37 (step @p5 :rule nary_cong :premises (@p4 @p3) :args (@t23)) % 0.16/0.37 (step @p6 :rule quant-miniscope-and :args ((= (forall @t5 (and @t3 @t17)) @t23))) % 0.16/0.37 (step @p7 :rule trans :premises (@p6 @p5)) % 0.16/0.37 (step @p8 :rule bool-implies-de-morgan :args (@t3 @t2)) % 0.16/0.37 (step @p9 :rule cong :premises (@p8) :args (@t24)) % 0.16/0.37 (step @p10 :rule trans :premises (@p9 @p7)) % 0.16/0.37 (step @p11 :rule cong :premises (@p10) :args (@t25)) % 0.16/0.37 (step @p12 :rule exists-elim :args ((= @t6 @t25))) % 0.16/0.37 (step @p13 :rule trans :premises (@p12 @p11)) % 0.16/0.37 (step @p14 :rule bool-double-not-elim :args (@t26)) % 0.16/0.37 (step @p15 :rule exists-elim :args ((= @t10 (not @t26)))) % 0.16/0.37 (step @p16 :rule cong :premises (@p15) :args (@t11)) % 0.16/0.37 (step @p17 :rule trans :premises (@p16 @p14)) % 0.16/0.37 (step @p18 :rule nary_cong :premises (@p17 @p13) :args (@t12)) % 0.16/0.37 (step @p19 :rule refl :args (@t14)) % 0.16/0.37 (step @p20 :rule cong :premises (@p19 @p18) :args (@t15)) % 0.16/0.37 (step @p21 :rule cong :premises (@p20) :args (@t16)) % 0.16/0.37 (step @p22 :rule eq_resolve :premises (@p1 @p21)) % 0.16/0.37 (step @p23 :rule not_implies_elim2 :premises (@p22)) % 0.16/0.37 (step @p24 :rule not_or_elim :premises (@p23) :args (0)) % 0.16/0.37 (step @p25 :rule alpha_equiv :args (@t26 (@list @t7) @t21)) % 0.16/0.37 (step @p26 :rule equiv_elim2 :premises (@p25)) % 0.16/0.37 (step @p27 :rule chain_m_resolution :premises (@p26 @p24) :args ((not @t27) @t28 (@list @t26))) % 0.16/0.37 (step @p28 :rule not_or_elim :premises (@p23) :args (1)) % 0.16/0.37 (step @p29 :rule not_not_elim :premises (@p28)) % 0.16/0.37 (step @p30 :rule and_elim :premises (@p29) :args (1)) % 0.16/0.37 (step @p31 false :rule chain_m_resolution :premises (@p30 @p27) :args (false @t28 (@list @t27))) % 0.16/0.37 ) % 0.16/0.37 % SZS output end Proof % 0.16/0.37 % cvc5 exiting %------------------------------------------------------------------------------