%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NLP265_17 : TPTP v9.2.1. Released v8.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n010.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 08:37:17 AM UTC 2026 % Result : Theorem 0.32s 0.58s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : NLP265_17 : TPTP v9.2.1. Released v8.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n010.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % 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 10:17:10 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.32/0.58 % SZS status Theorem % 0.32/0.58 % SZS output start Proof % 0.32/0.58 ( % 0.32/0.58 (declare-sort |tptp.'$ki_index'| 0) % 0.32/0.58 (declare-sort |tptp.'$ki_world'| 0) % 0.32/0.58 (declare-sort $$unsorted 0) % 0.32/0.58 (declare-const |tptp.'$ki_local_world'| |tptp.'$ki_world'|) % 0.32/0.58 (declare-const tptp.portland $$unsorted) % 0.32/0.58 (declare-const |tptp.'#idx(i_alice)'| |tptp.'$ki_index'|) % 0.32/0.58 (declare-const |tptp.'#idx(i_bob)'| |tptp.'$ki_index'|) % 0.32/0.58 (declare-const |tptp.'#idx(b_bob)'| |tptp.'$ki_index'|) % 0.32/0.58 (declare-const tptp.bigcity (-> |tptp.'$ki_world'| $$unsorted Bool)) % 0.32/0.58 (declare-const |tptp.'$ki_accessible'| (-> |tptp.'$ki_index'| |tptp.'$ki_world'| |tptp.'$ki_world'| Bool)) % 0.32/0.58 (declare-const |tptp.'#idx(b_alice)'| |tptp.'$ki_index'|) % 0.32/0.58 (define @t1 () (@var "V" |tptp.'$ki_world'|)) % 0.32/0.58 (define @t2 () (@var "W" |tptp.'$ki_world'|)) % 0.32/0.58 (define @t3 () (@list @t2 @t1)) % 0.32/0.58 (define @t4 () (forall @t3 (|tptp.'$ki_accessible'| |tptp.'#idx(b_alice)'| @t2 @t1))) % 0.32/0.58 (define @t5 () (@var "W1" |tptp.'$ki_world'|)) % 0.32/0.58 (define @t6 () (tptp.bigcity @t5 tptp.portland)) % 0.32/0.58 (define @t7 () (@var "W0" |tptp.'$ki_world'|)) % 0.32/0.58 (define @t8 () (|tptp.'$ki_accessible'| |tptp.'#idx(b_bob)'| @t7 @t5)) % 0.32/0.58 (define @t9 () (@list @t5)) % 0.32/0.58 (define @t10 () (@list @t7)) % 0.32/0.58 (define @t11 () (not @t6)) % 0.32/0.58 (define @t12 () (tptp.bigcity @t2 tptp.portland)) % 0.32/0.58 (define @t13 () (|tptp.'$ki_accessible'| |tptp.'#idx(b_alice)'| |tptp.'$ki_local_world'| @t2)) % 0.32/0.58 (define @t14 () (@list @t2)) % 0.32/0.58 (define @t15 () (|tptp.'$ki_accessible'| |tptp.'#idx(b_alice)'| @t7 @t5)) % 0.32/0.58 (define @t16 () (|tptp.'$ki_accessible'| |tptp.'#idx(b_bob)'| @t2 @t7)) % 0.32/0.58 (define @t17 () (forall @t14 (=> @t13 @t12))) % 0.32/0.58 (define @t18 () (tptp.bigcity @t7 tptp.portland)) % 0.32/0.58 (define @t19 () (forall @t10 (=> @t16 @t18))) % 0.32/0.58 (define @t20 () (|tptp.'$ki_accessible'| |tptp.'#idx(i_alice)'| |tptp.'$ki_local_world'| @t2)) % 0.32/0.58 (define @t21 () (=> @t20 @t19)) % 0.32/0.58 (define @t22 () (forall @t14 @t21)) % 0.32/0.58 (define @t23 () (not @t22)) % 0.32/0.58 (define @t24 () (@var "BOUND_VARIABLE_7644" |tptp.'$ki_world'|)) % 0.32/0.58 (define @t25 () (tptp.bigcity @t24 tptp.portland)) % 0.32/0.58 (define @t26 () (not (|tptp.'$ki_accessible'| |tptp.'#idx(b_bob)'| @t2 @t24))) % 0.32/0.58 (define @t27 () (not @t20)) % 0.32/0.58 (define @t28 () (or @t27 @t26 @t25)) % 0.32/0.58 (define @t29 () (@list @t2 @t24)) % 0.32/0.58 (define @t30 () (forall @t29 @t28)) % 0.32/0.58 (define @t31 () (@quantifiers_skolemize @t30 1)) % 0.32/0.58 (define @t32 () (or @t26 @t25)) % 0.32/0.58 (define @t33 () (or @t27 @t32)) % 0.32/0.58 (define @t34 () (forall @t29 @t33)) % 0.32/0.58 (define @t35 () (@list @t24)) % 0.32/0.58 (define @t36 () (forall @t35 @t33)) % 0.32/0.58 (define @t37 () (forall @t35 @t32)) % 0.32/0.58 (define @t38 () (or @t27 @t37)) % 0.32/0.58 (define @t39 () (forall @t10 (or (not @t16) @t18))) % 0.32/0.58 (define @t40 () (tptp.bigcity @t31 tptp.portland)) % 0.32/0.58 (define @t41 () (@quantifiers_skolemize @t30 0)) % 0.32/0.58 (define @t42 () (or (not (|tptp.'$ki_accessible'| |tptp.'#idx(i_alice)'| |tptp.'$ki_local_world'| @t41)) (not (|tptp.'$ki_accessible'| |tptp.'#idx(b_bob)'| @t41 @t31)) @t40)) % 0.32/0.58 (define @t43 () (|tptp.'$ki_accessible'| |tptp.'#idx(b_alice)'| |tptp.'$ki_local_world'| @t31)) % 0.32/0.58 (define @t44 () (not @t43)) % 0.32/0.58 (define @t45 () (or @t44 @t40)) % 0.32/0.58 (define @t46 () (@list true false)) % 0.32/0.58 (assume @p1 @t4) % 0.32/0.58 (assume @p2 (forall @t3 (|tptp.'$ki_accessible'| |tptp.'#idx(b_bob)'| @t2 @t1))) % 0.32/0.58 (assume @p3 (forall @t3 (|tptp.'$ki_accessible'| |tptp.'#idx(i_bob)'| @t2 @t1))) % 0.32/0.58 (assume @p4 (forall @t3 (|tptp.'$ki_accessible'| |tptp.'#idx(i_alice)'| @t2 @t1))) % 0.32/0.58 (assume @p5 (forall @t14 (=> @t13 (=> (and @t12 (forall @t10 (=> (|tptp.'$ki_accessible'| |tptp.'#idx(b_alice)'| @t2 @t7) (forall @t9 (=> @t8 @t11))))) (forall @t10 (=> (|tptp.'$ki_accessible'| |tptp.'#idx(i_alice)'| @t2 @t7) (forall @t9 (=> @t8 @t6)))))))) % 0.32/0.58 (assume @p6 (forall @t14 (=> (|tptp.'$ki_accessible'| |tptp.'#idx(b_bob)'| |tptp.'$ki_local_world'| @t2) (=> (and @t12 (forall @t10 (=> @t16 (forall @t9 (=> @t15 @t11))))) (forall @t10 (=> (|tptp.'$ki_accessible'| |tptp.'#idx(i_bob)'| @t2 @t7) (forall @t9 (=> @t15 @t6)))))))) % 0.32/0.58 (assume @p7 @t17) % 0.32/0.58 (assume @p8 (forall @t14 (=> @t13 (forall @t10 (=> @t16 (not @t18)))))) % 0.32/0.58 (assume @p9 @t23) % 0.32/0.58 (assume @p10 true) % 0.32/0.58 (step @p11 :rule bool-impl-elim :args (@t13 @t12)) % 0.32/0.58 (step @p12 :rule cong :premises (@p11) :args (@t17)) % 0.32/0.58 (step @p13 :rule eq_resolve :premises (@p7 @p12)) % 0.37/0.59 (step @p14 :rule instantiate :premises (@p13) :args ((@list @t31))) % 0.37/0.59 (step @p15 :rule aci_norm :args ((= @t33 @t28))) % 0.37/0.59 (step @p16 :rule cong :premises (@p15) :args (@t34)) % 0.37/0.59 (step @p17 :rule quant-merge-prenex :args ((= (forall @t14 @t36) @t34))) % 0.37/0.59 (step @p18 :rule alpha_equiv :args (@t37 (@list @t24) (@list @t7))) % 0.37/0.59 (step @p19 :rule refl :args (@t27)) % 0.37/0.59 (step @p20 :rule nary_cong :premises (@p19 @p18) :args (@t38)) % 0.37/0.59 (step @p21 :rule quant-miniscope-or :args ((= @t36 @t38))) % 0.37/0.59 (step @p22 :rule trans :premises (@p21 @p20)) % 0.37/0.59 (step @p23 :rule symm :premises (@p22)) % 0.37/0.59 (step @p24 :rule cong :premises (@p23) :args ((forall @t14 (or @t27 @t39)))) % 0.37/0.59 (step @p25 :rule trans :premises (@p24 @p17)) % 0.37/0.59 (step @p26 :rule trans :premises (@p25 @p16)) % 0.37/0.59 (step @p27 :rule bool-impl-elim :args (@t20 @t39)) % 0.37/0.59 (step @p28 :rule cong :premises (@p27) :args ((forall @t14 (=> @t20 @t39)))) % 0.37/0.59 (step @p29 :rule trans :premises (@p28 @p26)) % 0.37/0.59 (step @p30 :rule bool-impl-elim :args (@t16 @t18)) % 0.37/0.59 (step @p31 :rule cong :premises (@p30) :args (@t19)) % 0.37/0.59 (step @p32 :rule refl :args (@t20)) % 0.37/0.59 (step @p33 :rule cong :premises (@p32 @p31) :args (@t21)) % 0.37/0.59 (step @p34 :rule cong :premises (@p33) :args (@t22)) % 0.37/0.59 (step @p35 :rule trans :premises (@p34 @p29)) % 0.37/0.59 (step @p36 :rule cong :premises (@p35) :args (@t23)) % 0.37/0.59 (step @p37 :rule eq_resolve :premises (@p9 @p36)) % 0.37/0.59 (step @p38 :rule skolemize :premises (@p37)) % 0.37/0.59 (step @p39 :rule cnf_or_neg :args (@t42 2)) % 0.37/0.59 (step @p40 :rule chain_m_resolution :premises (@p39 @p38) :args ((not @t40) (@list true) (@list @t42))) % 0.37/0.59 (step @p41 :rule cnf_or_pos :args (@t45)) % 0.37/0.59 (step @p42 :rule reordering :premises (@p41) :args ((or @t40 @t44 (not @t45)))) % 0.37/0.59 (step @p43 :rule chain_m_resolution :premises (@p42 @p40 @p14) :args (@t44 @t46 (@list @t40 @t45))) % 0.37/0.59 (assume-push @p50 @t4) % 0.37/0.59 (step @p45 :rule instantiate :premises (@p1) :args ((@list |tptp.'$ki_local_world'| @t31))) % 0.37/0.59 (step-pop @p51 :rule scope :premises (@p45)) % 0.37/0.59 (step @p46 :rule process_scope :premises (@p51) :args (@t43)) % 0.37/0.59 (step @p48 :rule implies_elim :premises (@p46)) % 0.37/0.59 (step @p49 false :rule chain_m_resolution :premises (@p48 @p43 @p1) :args (false @t46 (@list @t43 @t4))) % 0.37/0.59 ) % 0.37/0.59 % SZS output end Proof % 0.37/0.59 % cvc5 exiting %------------------------------------------------------------------------------