%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP001_5 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:27:39 AM UTC 2026
% Result : Theorem 4.22s 1.71s
% Output : Refutation 4.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 1
% Syntax : Number of formulae : 4 ( 4 unt; 0 def)
% Number of atoms : 4 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 3 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 85 ( 85 usr; 5 con; 0-4 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
del: $tType ).
tff(type_def_6,type,
tp__o: $tType ).
tff(type_def_7,type,
tp__i: $tType ).
tff(func_def_0,type,
bool: del ).
tff(func_def_1,type,
ind: del ).
tff(func_def_2,type,
arr: ( del * del ) > del ).
tff(func_def_4,type,
k: ( del * $i ) > $i ).
tff(func_def_5,type,
i: del > $i ).
tff(func_def_6,type,
inj__o: tp__o > $i ).
tff(func_def_7,type,
surj__o: $i > tp__o ).
tff(func_def_8,type,
c_2Emin_2E_3D: del > $i ).
tff(func_def_10,type,
fo__c_2Emin_2E_3D_3D_3E: ( tp__o * tp__o ) > tp__o ).
tff(func_def_11,type,
c_2Emin_2E_40: del > $i ).
tff(func_def_12,type,
ty_2Ebool_2Eitself: del > del ).
tff(func_def_13,type,
c_2Ebool_2E_21: del > $i ).
tff(func_def_15,type,
fo__c_2Ebool_2E_2F_5C: ( tp__o * tp__o ) > tp__o ).
tff(func_def_16,type,
c_2Ebool_2E_3F: del > $i ).
tff(func_def_17,type,
c_2Ebool_2E_3F_21: del > $i ).
tff(func_def_18,type,
c_2Ebool_2EARB: del > $i ).
tff(func_def_20,type,
fo__c_2Ebool_2EBOUNDED: tp__o > tp__o ).
tff(func_def_21,type,
c_2Ebool_2ECOND: del > $i ).
tff(func_def_22,type,
c_2Ebool_2EDATATYPE: del > $i ).
tff(func_def_24,type,
fo__c_2Ebool_2EF: tp__o ).
tff(func_def_25,type,
c_2Ebool_2EIN: del > $i ).
tff(func_def_26,type,
c_2Ebool_2ELET: ( del * del ) > $i ).
tff(func_def_27,type,
c_2Ebool_2EONE__ONE: ( del * del ) > $i ).
tff(func_def_28,type,
c_2Ebool_2EONTO: ( del * del ) > $i ).
tff(func_def_29,type,
c_2Ebool_2ERES__ABSTRACT: ( del * del ) > $i ).
tff(func_def_30,type,
c_2Ebool_2ERES__EXISTS: del > $i ).
tff(func_def_31,type,
c_2Ebool_2ERES__EXISTS__UNIQUE: del > $i ).
tff(func_def_32,type,
c_2Ebool_2ERES__FORALL: del > $i ).
tff(func_def_33,type,
c_2Ebool_2ERES__SELECT: del > $i ).
tff(func_def_35,type,
fo__c_2Ebool_2ET: tp__o ).
tff(func_def_36,type,
c_2Ebool_2ETYPE__DEFINITION: ( del * del ) > $i ).
tff(func_def_38,type,
fo__c_2Ebool_2E_5C_2F: ( tp__o * tp__o ) > tp__o ).
tff(func_def_39,type,
c_2Ebool_2Eitself__case: ( del * del ) > $i ).
tff(func_def_40,type,
c_2Ebool_2Eliteral__case: ( del * del ) > $i ).
tff(func_def_41,type,
c_2Ebool_2Ethe__value: del > $i ).
tff(func_def_43,type,
fo__c_2Ebool_2E_7E: tp__o > tp__o ).
tff(func_def_44,type,
f1: del > $i ).
tff(func_def_45,type,
f2: del > $i ).
tff(func_def_46,type,
f3: ( tp__o * tp__o ) > $i ).
tff(func_def_47,type,
f4: tp__o > $i ).
tff(func_def_49,type,
f6: ( tp__o * tp__o ) > $i ).
tff(func_def_50,type,
f7: tp__o > $i ).
tff(func_def_53,type,
f10: ( del * $i * $i ) > $i ).
tff(func_def_54,type,
f11: ( del * $i ) > $i ).
tff(func_def_55,type,
f12: del > $i ).
tff(func_def_56,type,
f13: ( del * del * $i ) > $i ).
tff(func_def_57,type,
f14: ( del * del ) > $i ).
tff(func_def_58,type,
f15: ( del * $i * $i * tp__o ) > $i ).
tff(func_def_59,type,
f16: ( del * tp__o * $i ) > $i ).
tff(func_def_60,type,
f17: ( del * tp__o ) > $i ).
tff(func_def_61,type,
f18: del > $i ).
tff(func_def_62,type,
f19: ( del * del * $i * $i ) > $i ).
tff(func_def_63,type,
f20: ( del * del * $i ) > $i ).
tff(func_def_64,type,
f21: ( del * del ) > $i ).
tff(func_def_65,type,
f22: ( del * del * $i * $i ) > $i ).
tff(func_def_66,type,
f23: ( del * del * $i ) > $i ).
tff(func_def_67,type,
f24: ( del * del ) > $i ).
tff(func_def_68,type,
f25: ( del * del * $i * $i ) > $i ).
tff(func_def_69,type,
f26: ( del * del * $i ) > $i ).
tff(func_def_70,type,
f27: ( del * del * $i * $i ) > $i ).
tff(func_def_71,type,
f28: ( del * del * $i * $i ) > $i ).
tff(func_def_72,type,
f29: ( del * del * $i ) > $i ).
tff(func_def_73,type,
f30: ( del * del ) > $i ).
tff(func_def_74,type,
f31: ( del * del * $i ) > $i ).
tff(func_def_75,type,
inj__i: tp__i > $i ).
tff(func_def_76,type,
surj__i: $i > tp__i ).
tff(func_def_77,type,
f32: ( del * $i ) > $i ).
tff(func_def_78,type,
f33: del > $i ).
tff(func_def_79,type,
f34: ( del * $i * $i ) > $i ).
tff(func_def_80,type,
f35: ( del * $i ) > $i ).
tff(func_def_81,type,
f36: del > $i ).
tff(func_def_82,type,
f37: ( del * $i * $i ) > $i ).
tff(func_def_83,type,
f38: ( del * $i ) > $i ).
tff(func_def_84,type,
f39: del > $i ).
tff(func_def_85,type,
f40: ( del * $i ) > $i ).
tff(func_def_86,type,
f41: ( del * $i * $i ) > $i ).
tff(func_def_87,type,
f42: ( del * $i * $i ) > $i ).
tff(func_def_88,type,
f43: ( del * $i ) > $i ).
tff(func_def_89,type,
f44: del > $i ).
tff(func_def_90,type,
f45: ( del * $i ) > $i ).
tff(func_def_91,type,
f46: del > $i ).
tff(func_def_92,type,
sK0: ( del * $i ) > $i ).
tff(func_def_93,type,
sK1: ( del * $i ) > $i ).
tff(func_def_94,type,
sK2: tp__o ).
tff(func_def_96,type,
sK4: ( del * $i * $i ) > $i ).
tff(pred_def_1,type,
mem: ( $i * del ) > $o ).
fof(f127,conjecture,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Ebool_2ETRUTH) ).
fof(f128,negated_conjecture,
~ $true,
inference(negated_conjecture,[status(cth)],[f127]) ).
fof(f133,plain,
$false,
inference(true_and_false_elimination,[],[f128]) ).
fof(f319,plain,
$false,
inference(cnf_transformation,[],[f133]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ITP001_5 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.44 % Computer : n005.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sun Sep 27 11:47:17 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.22/0.49 Running first-order theorem proving
% 0.22/0.49 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.22/1.71 % (3850062)Detected formulas, will run a generic FOF schedule.
% 4.22/1.71 % (3850073)dis-21_1_sil=8000:lcm=predicate:random_seed=2383616914:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 4.22/1.71 % (3850073)First to succeed.
% 4.22/1.71 % (3850073)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3850062"
% 4.22/1.71 % (3850067)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1058917743:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.22/1.71 % (3850071)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3092494744:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.22/1.71 % (3850072)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=107286523:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.22/1.71 % (3850069)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3244873065:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.22/1.71 % (3850070)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2483109352:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.22/1.71 % (3850068)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1884055421:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.22/1.71 % (3850071)Also succeeded, but the first one will report.
% 4.22/1.71 % (3850070)Also succeeded, but the first one will report.
% 4.22/1.71 % (3850072)Also succeeded, but the first one will report.
% 4.22/1.71 % (3850073)Refutation found. Thanks to Tanya!
% 4.22/1.71 % SZS status Theorem for theBenchmark
% 4.22/1.71 % SZS output start Proof for theBenchmark
% See solution above
% 4.22/1.71 % (3850073)------------------------------
% 4.22/1.71 % (3850073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.22/1.71 % (3850073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.22/1.71 % (3850073)CaDiCaL version: 2.1.3
% 4.22/1.71 % (3850073)Termination reason: Refutation
% 4.22/1.71 % (3850073)Time elapsed: 0.003 s
% 4.22/1.71 % (3850073)Peak memory usage: 88 MB
% 4.22/1.71 % (3850073)Instructions burned: 3 (million)
% 4.22/1.71 % (3850073)------------------------------
% 4.22/1.71 % (3850073)------------------------------
% 4.22/1.71 % (3850062)Success in time 0.485 s
% 4.22/1.71 % Vampire exiting
%------------------------------------------------------------------------------