%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO895_9 : TPTP v9.2.1. Released v8.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n025.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 09:13:44 AM UTC 2026 % Result : Theorem 0.27s 0.55s % Output : Proof 0.27s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO895_9 : TPTP v9.2.1. Released v8.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n025.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 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Wed Jun 3 01:09:01 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.27/0.55 % SZS status Theorem % 0.27/0.55 % SZS output start Proof % 0.27/0.55 ( % 0.27/0.55 (declare-sort |tptp.'$ki_world'| 0) % 0.27/0.55 (declare-const |tptp.'$ki_local_world'| |tptp.'$ki_world'|) % 0.27/0.55 (declare-const tptp.p (-> |tptp.'$ki_world'| Bool)) % 0.27/0.55 (declare-const tptp.q (-> |tptp.'$ki_world'| Bool)) % 0.27/0.55 (declare-const |tptp.'$ki_accessible'| (-> |tptp.'$ki_world'| |tptp.'$ki_world'| Bool)) % 0.27/0.55 (define @t1 () (@var "V" |tptp.'$ki_world'|)) % 0.27/0.55 (define @t2 () (@var "W" |tptp.'$ki_world'|)) % 0.27/0.55 (define @t3 () (@list @t2)) % 0.27/0.55 (define @t4 () (tptp.q @t2)) % 0.27/0.55 (define @t5 () (tptp.p @t2)) % 0.27/0.55 (define @t6 () (and @t5 @t4)) % 0.27/0.55 (define @t7 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t2)) % 0.27/0.55 (define @t8 () (forall @t3 (=> @t7 @t6))) % 0.27/0.55 (define @t9 () (forall @t3 (=> @t7 @t4))) % 0.27/0.55 (define @t10 () (forall @t3 (=> @t7 @t5))) % 0.27/0.55 (define @t11 () (and @t10 @t9)) % 0.27/0.55 (define @t12 () (=> @t11 @t8)) % 0.27/0.55 (define @t13 () (not @t12)) % 0.27/0.55 (define @t14 () (@quantifiers_skolemize (forall @t3 (or (not @t7) @t6)) 0)) % 0.27/0.55 (define @t15 () (tptp.q @t14)) % 0.27/0.55 (define @t16 () (tptp.p @t14)) % 0.27/0.55 (define @t17 () (and @t16 @t15)) % 0.27/0.55 (define @t18 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t14)) % 0.27/0.55 (define @t19 () (not @t18)) % 0.27/0.55 (define @t20 () (or @t19 @t17)) % 0.27/0.55 (define @t21 () (@list true)) % 0.27/0.55 (define @t22 () (@list @t20)) % 0.27/0.55 (define @t23 () (@list @t14)) % 0.27/0.55 (define @t24 () (or @t19 @t16)) % 0.27/0.55 (define @t25 () (@list false false)) % 0.27/0.55 (define @t26 () (or @t19 @t15)) % 0.27/0.55 (assume @p1 (forall @t3 (exists (@list @t1) (|tptp.'$ki_accessible'| @t2 @t1)))) % 0.27/0.55 (assume @p2 @t13) % 0.27/0.55 (assume @p3 true) % 0.27/0.55 (step @p4 :rule bool-impl-elim :args (@t7 @t6)) % 0.27/0.55 (step @p5 :rule cong :premises (@p4) :args (@t8)) % 0.27/0.55 (step @p6 :rule bool-impl-elim :args (@t7 @t4)) % 0.27/0.55 (step @p7 :rule cong :premises (@p6) :args (@t9)) % 0.27/0.55 (step @p8 :rule bool-impl-elim :args (@t7 @t5)) % 0.27/0.55 (step @p9 :rule cong :premises (@p8) :args (@t10)) % 0.27/0.55 (step @p10 :rule nary_cong :premises (@p9 @p7) :args (@t11)) % 0.27/0.55 (step @p11 :rule cong :premises (@p10 @p5) :args (@t12)) % 0.27/0.55 (step @p12 :rule cong :premises (@p11) :args (@t13)) % 0.27/0.55 (step @p13 :rule eq_resolve :premises (@p2 @p12)) % 0.27/0.55 (step @p14 :rule not_implies_elim2 :premises (@p13)) % 0.27/0.55 (step @p15 :rule skolemize :premises (@p14)) % 0.27/0.55 (step @p16 :rule cnf_or_neg :args (@t20 1)) % 0.27/0.55 (step @p17 :rule chain_m_resolution :premises (@p16 @p15) :args ((not @t17) @t21 @t22)) % 0.27/0.55 (step @p18 :rule not_implies_elim1 :premises (@p13)) % 0.27/0.55 (step @p19 :rule and_elim :premises (@p18) :args (0)) % 0.27/0.55 (step @p20 :rule instantiate :premises (@p19) :args (@t23)) % 0.27/0.55 (step @p21 :rule bool-double-not-elim :args (@t18)) % 0.27/0.55 (step @p22 :rule refl :args (@t20)) % 0.27/0.55 (step @p23 :rule nary_cong :premises (@p22 @p21) :args ((or @t20 (not @t19)))) % 0.27/0.55 (step @p24 :rule cnf_or_neg :args (@t20 0)) % 0.27/0.55 (step @p25 :rule eq_resolve :premises (@p24 @p23)) % 0.27/0.55 (step @p26 :rule reordering :premises (@p25) :args ((or @t18 @t20))) % 0.27/0.55 (step @p27 :rule chain_m_resolution :premises (@p26 @p15) :args (@t18 @t21 @t22)) % 0.27/0.55 (step @p28 :rule cnf_or_pos :args (@t24)) % 0.27/0.55 (step @p29 :rule reordering :premises (@p28) :args ((or @t19 @t16 (not @t24)))) % 0.27/0.55 (step @p30 :rule chain_m_resolution :premises (@p29 @p27 @p20) :args (@t16 @t25 (@list @t18 @t24))) % 0.27/0.55 (step @p31 :rule and_elim :premises (@p18) :args (1)) % 0.27/0.55 (step @p32 :rule instantiate :premises (@p31) :args (@t23)) % 0.27/0.55 (step @p33 :rule cnf_or_pos :args (@t26)) % 0.27/0.55 (step @p34 :rule reordering :premises (@p33) :args ((or @t19 @t15 (not @t26)))) % 0.27/0.55 (step @p35 :rule chain_m_resolution :premises (@p34 @p27 @p32) :args (@t15 @t25 (@list @t18 @t26))) % 0.27/0.55 (step @p36 :rule cnf_and_neg :args (@t17)) % 0.27/0.55 (step @p37 false :rule chain_m_resolution :premises (@p36 @p35 @p30 @p17) :args (false (@list false false true) (@list @t15 @t16 @t17))) % 0.27/0.55 ) % 0.27/0.55 % SZS output end Proof % 0.27/0.55 % cvc5 exiting %------------------------------------------------------------------------------