%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL808-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 11:56:41 AM UTC 2026
% Result : Unsatisfiable 3.78s 1.53s
% Output : Refutation 3.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 9 ( 6 unt; 0 def)
% Number of atoms : 15 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 15 ( 9 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-4 aty)
% Number of variables : 5 ( 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f76,axiom,
c_InductTermi_OIT(v_u____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_uIT_0) ).
fof(f78,axiom,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_b____,v_Ua____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f79,axiom,
! [X2,X3,X0,X1] :
( ~ c_Type_Otyping(c_Type_Oshift(X2,X1,v_T____,tc_Type_Otype),v_b____,X3)
| ~ c_Type_Otyping(X2,X0,v_T____)
| ~ c_InductTermi_OIT(X0)
| c_InductTermi_OIT(c_Lambda_Osubst(v_b____,X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
fof(f81,axiom,
c_Type_Otyping(v_e____,v_u____,v_T____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_03) ).
fof(f82,negated_conjecture,
~ c_InductTermi_OIT(c_Lambda_Osubst(v_b____,v_u____,v_i____)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f108,plain,
! [X0] :
( c_InductTermi_OIT(c_Lambda_Osubst(v_b____,X0,v_i____))
| ~ c_InductTermi_OIT(X0)
| ~ c_Type_Otyping(v_e____,X0,v_T____) ),
inference(resolution,[],[f79,f78]) ).
fof(f111,plain,
( ~ c_InductTermi_OIT(v_u____)
| ~ c_Type_Otyping(v_e____,v_u____,v_T____) ),
inference(resolution,[],[f108,f82]) ).
fof(f112,plain,
~ c_Type_Otyping(v_e____,v_u____,v_T____),
inference(forward_subsumption_resolution,[],[f111,f76]) ).
fof(f113,plain,
$false,
inference(forward_subsumption_resolution,[],[f112,f81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL808-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 % Computer : n020.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Sun Sep 27 16:54:20 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.44 Running first-order theorem proving
% 0.11/0.44 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.78/1.53 % (3604441)Input is clausal, will run a generic CNF schedule.
% 3.78/1.53 % (3604448)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=759507479:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.78/1.53 % (3604446)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=723656476:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.78/1.53 % (3604449)lrs+10_1_sil=8000:sp=occurrence:random_seed=429414204:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.78/1.53 % (3604452)dis-21_1_sil=8000:lcm=predicate:random_seed=2424631980:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.78/1.53 % (3604450)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2267883939:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.78/1.53 % (3604451)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=725605673:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.78/1.53 % (3604447)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1443144357:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.78/1.53 % (3604449)First to succeed.
% 3.78/1.53 % (3604449)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3604441"
% 3.78/1.53 % (3604451)Also succeeded, but the first one will report.
% 3.78/1.53 % (3604452)Also succeeded, but the first one will report.
% 3.78/1.53 % (3604450)Instruction limit reached!
% 3.78/1.53 % (3604450)------------------------------
% 3.78/1.53 % (3604450)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.78/1.53 % (3604450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.78/1.53 % (3604450)CaDiCaL version: 2.1.3
% 3.78/1.53 % (3604450)Termination reason: Instruction limit
% 3.78/1.53 % (3604450)Termination phase: Saturation
% 3.78/1.53 % (3604450)Time elapsed: 0.075 s
% 3.78/1.53 % (3604450)Peak memory usage: 88 MB
% 3.78/1.53 % (3604450)Instructions burned: 114 (million)
% 3.78/1.53 % (3604460)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2315048048:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.78/1.53 % (3604460)Refutation not found, incomplete strategy
% 3.78/1.53 % (3604460)------------------------------
% 3.78/1.53 % (3604460)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.78/1.53 % (3604460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.78/1.53 % (3604460)CaDiCaL version: 2.1.3
% 3.78/1.53 % (3604460)Termination reason: Refutation not found, incomplete strategy
% 3.78/1.53 % (3604460)Time elapsed: 0.002 s
% 3.78/1.53 % (3604460)Peak memory usage: 88 MB
% 3.78/1.53 % (3604460)Instructions burned: 1 (million)
% 3.78/1.53 % (3604449)Refutation found. Thanks to Tanya!
% 3.78/1.53 % SZS status Unsatisfiable for theBenchmark
% 3.78/1.53 % SZS output start Proof for theBenchmark
% See solution above
% 3.78/1.53 % (3604449)------------------------------
% 3.78/1.53 % (3604449)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.78/1.53 % (3604449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.78/1.53 % (3604449)CaDiCaL version: 2.1.3
% 3.78/1.53 % (3604449)Termination reason: Refutation
% 3.78/1.53 % (3604449)Time elapsed: 0.003 s
% 3.78/1.53 % (3604449)Peak memory usage: 88 MB
% 3.78/1.53 % (3604449)Instructions burned: 2 (million)
% 3.78/1.53 % (3604449)------------------------------
% 3.78/1.53 % (3604449)------------------------------
% 3.78/1.53 % (3604441)Success in time 0.445 s
% 3.78/1.53 % Vampire exiting
%------------------------------------------------------------------------------