%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL828-1 : 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 : n002.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 11:56:46 AM UTC 2026
% Result : Unsatisfiable 0.18s 6.50s
% Output : Refutation 0.18s
% 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_a____,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_a____,X3)
| ~ c_Type_Otyping(X2,X0,v_T____)
| ~ c_InductTermi_OIT(X0)
| c_InductTermi_OIT(c_Lambda_Osubst(v_a____,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_a____,v_u____,v_i____)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f109,plain,
! [X0] :
( c_InductTermi_OIT(c_Lambda_Osubst(v_a____,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,[],[f109,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 : LCL828-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/5.38 % Computer : n002.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Sun Sep 27 16:59:28 UTC 2026
% 0.11/5.39 % CPUTime :
% 0.11/5.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/5.42 Running first-order theorem proving
% 0.16/5.42 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
% 0.18/6.50 % (3737179)Input is clausal, will run a generic CNF schedule.
% 0.18/6.50 % (3737188)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2230756378:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.18/6.50 % (3737188)Instruction limit reached!
% 0.18/6.50 % (3737188)------------------------------
% 0.18/6.50 % (3737188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/6.50 % (3737188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/6.50 % (3737188)CaDiCaL version: 2.1.3
% 0.18/6.50 % (3737188)Termination reason: Instruction limit
% 0.18/6.50 % (3737188)Termination phase: Saturation
% 0.18/6.50 % (3737188)Time elapsed: 0.042 s
% 0.18/6.50 % (3737188)Peak memory usage: 89 MB
% 0.18/6.50 % (3737188)Instructions burned: 117 (million)
% 0.18/6.50 % (3737185)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4213405648:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.18/6.50 % (3737186)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3568822298:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.18/6.50 % (3737184)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=1172353538:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.18/6.50 % (3737187)lrs+10_1_sil=8000:sp=occurrence:random_seed=889654208:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.18/6.50 % (3737187)First to succeed.
% 0.18/6.50 % (3737187)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3737179"
% 0.18/6.50 % (3737189)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3558255856:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.18/6.50 % (3737190)dis-21_1_sil=8000:lcm=predicate:random_seed=2851087458: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)
% 0.18/6.50 % (3737189)Also succeeded, but the first one will report.
% 0.18/6.50 % (3737190)Also succeeded, but the first one will report.
% 0.18/6.50 % (3737196)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=1554895784:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 0.18/6.50 % (3737196)Refutation not found, incomplete strategy
% 0.18/6.50 % (3737196)------------------------------
% 0.18/6.50 % (3737196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/6.50 % (3737196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/6.50 % (3737196)CaDiCaL version: 2.1.3
% 0.18/6.50 % (3737196)Termination reason: Refutation not found, incomplete strategy
% 0.18/6.50 % (3737196)Time elapsed: 0.001 s
% 0.18/6.50 % (3737196)Peak memory usage: 88 MB
% 0.18/6.50 % (3737196)Instructions burned: 1 (million)
% 0.18/6.50 % (3737187)Refutation found. Thanks to Tanya!
% 0.18/6.50 % SZS status Unsatisfiable for theBenchmark
% 0.18/6.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/6.50 % (3737187)------------------------------
% 0.18/6.50 % (3737187)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/6.50 % (3737187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/6.50 % (3737187)CaDiCaL version: 2.1.3
% 0.18/6.50 % (3737187)Termination reason: Refutation
% 0.18/6.50 % (3737187)Time elapsed: 0.003 s
% 0.18/6.50 % (3737187)Peak memory usage: 88 MB
% 0.18/6.50 % (3737187)Instructions burned: 2 (million)
% 0.18/6.50 % (3737187)------------------------------
% 0.18/6.50 % (3737187)------------------------------
% 0.18/6.50 % (3737179)Success in time 0.441 s
% 0.18/6.50 % Vampire exiting
%------------------------------------------------------------------------------