%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN048+1 : TPTP v9.2.1. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n018.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 09:07:53 AM UTC 2026 % Result : Theorem 0.37s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN048+1 : TPTP v9.2.1. Released v2.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n018.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 23:18:50 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.56 % SZS status Theorem % 0.37/0.56 % SZS output start Proof % 0.37/0.56 ( % 0.37/0.56 (declare-sort $$unsorted 0) % 0.37/0.56 (declare-const tptp.big_f (-> $$unsorted Bool)) % 0.37/0.56 (define @t1 () (@var "X" $$unsorted)) % 0.37/0.56 (define @t2 () (tptp.big_f @t1)) % 0.37/0.56 (define @t3 () (@var "Y" $$unsorted)) % 0.37/0.56 (define @t4 () (tptp.big_f @t3)) % 0.37/0.56 (define @t5 () (@list @t1)) % 0.37/0.56 (define @t6 () (forall @t5 (=> @t4 @t2))) % 0.37/0.56 (define @t7 () (@list @t3)) % 0.37/0.56 (define @t8 () (exists @t7 @t6)) % 0.37/0.56 (define @t9 () (not @t8)) % 0.37/0.56 (define @t10 () (forall @t5 @t2)) % 0.37/0.56 (define @t11 () (not @t10)) % 0.37/0.56 (define @t12 () (@var "BOUND_VARIABLE_7431" $$unsorted)) % 0.37/0.56 (define @t13 () (forall (@list @t12) (tptp.big_f @t12))) % 0.37/0.56 (define @t14 () (forall @t7 @t11)) % 0.37/0.56 (define @t15 () (forall @t7 @t4)) % 0.37/0.56 (define @t16 () (@list @t12)) % 0.37/0.56 (define @t17 () (and @t15 @t14)) % 0.37/0.56 (define @t18 () (not @t4)) % 0.37/0.56 (define @t19 () (or @t18 @t10)) % 0.37/0.56 (define @t20 () (forall @t7 (not @t19))) % 0.37/0.56 (define @t21 () (not @t20)) % 0.37/0.56 (define @t22 () (@list false)) % 0.37/0.56 (assume @p1 @t9) % 0.37/0.56 (assume @p2 true) % 0.37/0.56 (step @p3 :rule bool-double-not-elim :args ((and @t13 @t11))) % 0.37/0.56 (step @p4 :rule quant-unused-vars :args ((= @t14 @t11))) % 0.37/0.56 (step @p5 :rule alpha_equiv :args (@t15 (@list @t3) @t16)) % 0.37/0.56 (step @p6 :rule nary_cong :premises (@p5 @p4) :args (@t17)) % 0.37/0.56 (step @p7 :rule quant-miniscope-and :args ((= (forall @t7 (and @t4 @t11)) @t17))) % 0.37/0.56 (step @p8 :rule trans :premises (@p7 @p6)) % 0.37/0.56 (step @p9 :rule refl :args (@t11)) % 0.37/0.56 (step @p10 :rule bool-double-not-elim :args (@t4)) % 0.37/0.56 (step @p11 :rule nary_cong :premises (@p10 @p9) :args ((and (not @t18) @t11))) % 0.37/0.56 (step @p12 :rule bool-or-de-morgan :args (@t18 @t10 false)) % 0.37/0.56 (step @p13 :rule trans :premises (@p12 @p11)) % 0.37/0.56 (step @p14 :rule cong :premises (@p13) :args (@t20)) % 0.37/0.56 (step @p15 :rule trans :premises (@p14 @p8)) % 0.37/0.56 (step @p16 :rule cong :premises (@p15) :args (@t21)) % 0.37/0.56 (step @p17 :rule exists-elim :args ((= (exists @t7 @t19) @t21))) % 0.37/0.56 (step @p18 :rule trans :premises (@p17 @p16)) % 0.37/0.56 (step @p19 :rule quant-miniscope-or :args ((= (forall @t5 (or @t18 @t2)) @t19))) % 0.37/0.56 (step @p20 :rule bool-impl-elim :args (@t4 @t2)) % 0.37/0.56 (step @p21 :rule cong :premises (@p20) :args (@t6)) % 0.37/0.56 (step @p22 :rule trans :premises (@p21 @p19)) % 0.37/0.56 (step @p23 :rule cong :premises (@p22) :args (@t8)) % 0.37/0.56 (step @p24 :rule trans :premises (@p23 @p18)) % 0.37/0.56 (step @p25 :rule cong :premises (@p24) :args (@t9)) % 0.37/0.56 (step @p26 :rule trans :premises (@p25 @p3)) % 0.37/0.56 (step @p27 :rule eq_resolve :premises (@p1 @p26)) % 0.37/0.56 (step @p28 :rule and_elim :premises (@p27) :args (0)) % 0.37/0.56 (step @p29 :rule alpha_equiv :args (@t13 @t16 (@list @t1))) % 0.37/0.56 (step @p30 :rule symm :premises (@p29)) % 0.37/0.56 (step @p31 :rule equiv_elim2 :premises (@p30)) % 0.37/0.56 (step @p32 :rule chain_m_resolution :premises (@p31 @p28) :args (@t10 @t22 (@list @t13))) % 0.37/0.56 (step @p33 :rule and_elim :premises (@p27) :args (1)) % 0.37/0.56 (step @p34 false :rule chain_m_resolution :premises (@p33 @p32) :args (false @t22 (@list @t10))) % 0.37/0.56 ) % 0.37/0.56 % SZS output end Proof % 0.37/0.56 % cvc5 exiting %------------------------------------------------------------------------------