%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO893_11 : 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 : n029.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 09:13:43 AM UTC 2026 % Result : Theorem 0.39s 0.58s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO893_11 : 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 % 0.16/0.34 % Computer : n029.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Wed Jun 3 01:09:02 EDT 2026 % 0.16/0.35 % CPUTime : % 0.33/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.58 % SZS status Theorem % 0.39/0.58 % SZS output start Proof % 0.39/0.58 ( % 0.39/0.58 (declare-sort |tptp.'$ki_world'| 0) % 0.39/0.58 (declare-const |tptp.'$ki_local_world'| |tptp.'$ki_world'|) % 0.39/0.58 (declare-const tptp.p (-> |tptp.'$ki_world'| Bool)) % 0.39/0.58 (declare-const |tptp.'$ki_accessible'| (-> |tptp.'$ki_world'| |tptp.'$ki_world'| Bool)) % 0.39/0.58 (define @t1 () (@var "V" |tptp.'$ki_world'|)) % 0.39/0.58 (define @t2 () (@var "W" |tptp.'$ki_world'|)) % 0.39/0.58 (define @t3 () (@var "W1" |tptp.'$ki_world'|)) % 0.39/0.58 (define @t4 () (tptp.p @t3)) % 0.39/0.58 (define @t5 () (not @t4)) % 0.39/0.58 (define @t6 () (@var "W0" |tptp.'$ki_world'|)) % 0.39/0.58 (define @t7 () (|tptp.'$ki_accessible'| @t6 @t3)) % 0.39/0.58 (define @t8 () (and @t7 @t5)) % 0.39/0.58 (define @t9 () (@list @t3)) % 0.39/0.58 (define @t10 () (exists @t9 @t8)) % 0.39/0.58 (define @t11 () (|tptp.'$ki_accessible'| @t2 @t6)) % 0.39/0.58 (define @t12 () (=> @t11 @t10)) % 0.39/0.58 (define @t13 () (@list @t6)) % 0.39/0.58 (define @t14 () (forall @t13 @t12)) % 0.39/0.58 (define @t15 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t2)) % 0.39/0.58 (define @t16 () (and @t15 @t14)) % 0.39/0.58 (define @t17 () (@list @t2)) % 0.39/0.58 (define @t18 () (exists @t17 @t16)) % 0.39/0.58 (define @t19 () (forall @t9 (=> @t7 @t4))) % 0.39/0.58 (define @t20 () (and @t11 @t19)) % 0.39/0.58 (define @t21 () (exists @t13 @t20)) % 0.39/0.58 (define @t22 () (=> @t15 @t21)) % 0.39/0.58 (define @t23 () (forall @t17 @t22)) % 0.39/0.58 (define @t24 () (not @t23)) % 0.39/0.58 (define @t25 () (= @t24 @t18)) % 0.39/0.58 (define @t26 () (not @t25)) % 0.39/0.58 (define @t27 () (not @t7)) % 0.39/0.58 (define @t28 () (forall @t9 (or @t27 @t4))) % 0.39/0.58 (define @t29 () (not @t28)) % 0.39/0.58 (define @t30 () (forall @t13 (or (not @t11) @t29))) % 0.39/0.58 (define @t31 () (not @t30)) % 0.39/0.58 (define @t32 () (and @t15 @t30)) % 0.39/0.58 (define @t33 () (forall @t17 (not @t32))) % 0.39/0.58 (define @t34 () (not @t33)) % 0.39/0.58 (define @t35 () (forall @t9 (not @t8))) % 0.39/0.58 (define @t36 () (not @t35)) % 0.39/0.58 (define @t37 () (and @t11 @t28)) % 0.39/0.58 (define @t38 () (forall @t13 (not @t37))) % 0.39/0.58 (define @t39 () (not @t38)) % 0.39/0.58 (assume @p1 (forall (@list @t2 @t1) (|tptp.'$ki_accessible'| @t2 @t1))) % 0.39/0.58 (assume @p2 @t26) % 0.39/0.58 (assume @p3 true) % 0.39/0.58 (step @p4 :rule evaluate :args ((not true))) % 0.39/0.58 (step @p5 :rule eq-refl :args ((not (forall @t17 (or (not @t15) @t31))))) % 0.39/0.58 (step @p6 :rule bool-and-de-morgan :args (@t15 @t30 true)) % 0.39/0.58 (step @p7 :rule cong :premises (@p6) :args (@t33)) % 0.39/0.58 (step @p8 :rule cong :premises (@p7) :args (@t34)) % 0.39/0.58 (step @p9 :rule exists-elim :args ((= (exists @t17 @t32) @t34))) % 0.39/0.58 (step @p10 :rule trans :premises (@p9 @p8)) % 0.39/0.58 (step @p11 :rule bool-impl-elim :args (@t11 @t29)) % 0.39/0.58 (step @p12 :rule cong :premises (@p11) :args ((forall @t13 (=> @t11 @t29)))) % 0.39/0.58 (step @p13 :rule bool-double-not-elim :args (@t4)) % 0.39/0.58 (step @p14 :rule refl :args (@t27)) % 0.39/0.58 (step @p15 :rule nary_cong :premises (@p14 @p13) :args ((or @t27 (not @t5)))) % 0.39/0.58 (step @p16 :rule bool-and-de-morgan :args (@t7 @t5 true)) % 0.39/0.58 (step @p17 :rule trans :premises (@p16 @p15)) % 0.39/0.58 (step @p18 :rule cong :premises (@p17) :args (@t35)) % 0.39/0.58 (step @p19 :rule cong :premises (@p18) :args (@t36)) % 0.39/0.58 (step @p20 :rule exists-elim :args ((= @t10 @t36))) % 0.39/0.58 (step @p21 :rule trans :premises (@p20 @p19)) % 0.39/0.58 (step @p22 :rule refl :args (@t11)) % 0.39/0.58 (step @p23 :rule cong :premises (@p22 @p21) :args (@t12)) % 0.39/0.58 (step @p24 :rule cong :premises (@p23) :args (@t14)) % 0.39/0.58 (step @p25 :rule trans :premises (@p24 @p12)) % 0.39/0.58 (step @p26 :rule refl :args (@t15)) % 0.39/0.58 (step @p27 :rule nary_cong :premises (@p26 @p25) :args (@t16)) % 0.39/0.58 (step @p28 :rule cong :premises (@p27) :args (@t18)) % 0.39/0.58 (step @p29 :rule trans :premises (@p28 @p10)) % 0.39/0.58 (step @p30 :rule bool-impl-elim :args (@t15 @t31)) % 0.39/0.58 (step @p31 :rule cong :premises (@p30) :args ((forall @t17 (=> @t15 @t31)))) % 0.39/0.58 (step @p32 :rule bool-and-de-morgan :args (@t11 @t28 true)) % 0.39/0.58 (step @p33 :rule cong :premises (@p32) :args (@t38)) % 0.39/0.58 (step @p34 :rule cong :premises (@p33) :args (@t39)) % 0.39/0.58 (step @p35 :rule exists-elim :args ((= (exists @t13 @t37) @t39))) % 0.39/0.58 (step @p36 :rule trans :premises (@p35 @p34)) % 0.39/0.58 (step @p37 :rule bool-impl-elim :args (@t7 @t4)) % 0.39/0.58 (step @p38 :rule cong :premises (@p37) :args (@t19)) % 0.39/0.58 (step @p39 :rule nary_cong :premises (@p22 @p38) :args (@t20)) % 0.39/0.58 (step @p40 :rule cong :premises (@p39) :args (@t21)) % 0.39/0.58 (step @p41 :rule trans :premises (@p40 @p36)) % 0.39/0.58 (step @p42 :rule cong :premises (@p26 @p41) :args (@t22)) % 0.39/0.58 (step @p43 :rule cong :premises (@p42) :args (@t23)) % 0.39/0.58 (step @p44 :rule trans :premises (@p43 @p31)) % 0.39/0.59 (step @p45 :rule cong :premises (@p44) :args (@t24)) % 0.39/0.59 (step @p46 :rule cong :premises (@p45 @p29) :args (@t25)) % 0.39/0.59 (step @p47 :rule trans :premises (@p46 @p5)) % 0.39/0.59 (step @p48 :rule cong :premises (@p47) :args (@t26)) % 0.39/0.59 (step @p49 :rule trans :premises (@p48 @p4)) % 0.39/0.59 (step @p50 false :rule eq_resolve :premises (@p2 @p49)) % 0.39/0.59 ) % 0.39/0.59 % SZS output end Proof % 0.39/0.59 % cvc5 exiting %------------------------------------------------------------------------------