%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL798-1 : 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 : n015.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 11:56:38 AM UTC 2026
% Result : Unsatisfiable 0.17s 1.40s
% Output : Refutation 0.17s
% 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(f81,axiom,
c_InductTermi_OIT(v_u____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_uIT_0) ).
fof(f84,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) ).
fof(f85,axiom,
c_Type_Otyping(v_e____,v_u____,v_T____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
fof(f87,axiom,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_03) ).
fof(f88,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(f122,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,[],[f84,f87]) ).
fof(f124,plain,
( ~ c_InductTermi_OIT(v_u____)
| ~ c_Type_Otyping(v_e____,v_u____,v_T____) ),
inference(resolution,[],[f122,f88]) ).
fof(f125,plain,
~ c_Type_Otyping(v_e____,v_u____,v_T____),
inference(forward_subsumption_resolution,[],[f124,f81]) ).
fof(f126,plain,
$false,
inference(forward_subsumption_resolution,[],[f125,f85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL798-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 % Computer : n015.cluster.edu
% 0.13/0.43 % Model : x86_64 x86_64
% 0.13/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.43 % Memory : 8046.5625MB
% 0.13/0.43 % OS : Linux 6.8.0-71-generic
% 0.13/0.43 % CPULimit : 300
% 0.13/0.43 % WCLimit : 300
% 0.13/0.43 % DateTime : Sun Sep 27 16:54:31 UTC 2026
% 0.13/0.43 % CPUTime :
% 0.13/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.46 Running first-order theorem proving
% 0.16/0.46 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
% 0.17/1.40 % (1852300)Input is clausal, will run a generic CNF schedule.
% 0.17/1.40 % (1852308)lrs+10_1_sil=8000:sp=occurrence:random_seed=612222090:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.17/1.40 % (1852308)First to succeed.
% 0.17/1.40 % (1852308)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1852300"
% 0.17/1.40 % (1852306)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=781954062:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.17/1.40 % (1852305)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=4084879535:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.17/1.40 % (1852307)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=236074184:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.17/1.40 % (1852311)dis-21_1_sil=8000:lcm=predicate:random_seed=524085725: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)
% 0.17/1.40 % (1852309)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3147316645:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.17/1.40 % (1852310)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2831159865:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.17/1.40 % (1852310)Also succeeded, but the first one will report.
% 0.17/1.40 % (1852311)Also succeeded, but the first one will report.
% 0.17/1.40 % (1852309)Instruction limit reached!
% 0.17/1.40 % (1852309)------------------------------
% 0.17/1.40 % (1852309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.40 % (1852309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.40 % (1852309)CaDiCaL version: 2.1.3
% 0.17/1.40 % (1852309)Termination reason: Instruction limit
% 0.17/1.40 % (1852309)Termination phase: Saturation
% 0.17/1.40 % (1852309)Time elapsed: 0.077 s
% 0.17/1.40 % (1852309)Peak memory usage: 88 MB
% 0.17/1.40 % (1852309)Instructions burned: 115 (million)
% 0.17/1.40 % (1852308)Refutation found. Thanks to Tanya!
% 0.17/1.40 % SZS status Unsatisfiable for theBenchmark
% 0.17/1.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/1.40 % (1852308)------------------------------
% 0.17/1.40 % (1852308)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.40 % (1852308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.40 % (1852308)CaDiCaL version: 2.1.3
% 0.17/1.40 % (1852308)Termination reason: Refutation
% 0.17/1.40 % (1852308)Time elapsed: 0.002 s
% 0.17/1.40 % (1852308)Peak memory usage: 88 MB
% 0.17/1.40 % (1852308)Instructions burned: 3 (million)
% 0.17/1.40 % (1852308)------------------------------
% 0.17/1.40 % (1852308)------------------------------
% 0.17/1.40 % (1852300)Success in time 0.287 s
% 0.17/1.40 % Vampire exiting
%------------------------------------------------------------------------------