%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL414-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 11:52:20 AM UTC 2026
% Result : Unsatisfiable 0.14s 1.31s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 9 ( 5 unt; 0 def)
% Number of atoms : 15 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 8 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0,X1] :
( ~ a_truth(implies(X1,X0))
| ~ a_truth(X1)
| a_truth(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm147_1) ).
fof(f2,negated_conjecture,
! [X0,X1] : a_truth(implies(X0,implies(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm147_2) ).
fof(f3,negated_conjecture,
! [X2,X0,X1] : a_truth(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm147_3) ).
fof(f5,negated_conjecture,
~ a_truth(implies(sk1,sk1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm147_5) ).
fof(f10,plain,
! [X2,X0,X1] :
( a_truth(implies(implies(X0,X1),implies(X0,X2)))
| ~ a_truth(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f3,f1]) ).
fof(f22,plain,
! [X2,X0,X1] :
( ~ a_truth(implies(X0,implies(X1,X2)))
| ~ a_truth(implies(X0,X1))
| a_truth(implies(X0,X2)) ),
inference(resolution,[],[f10,f1]) ).
fof(f23,plain,
! [X0,X1] :
( a_truth(implies(X0,X0))
| ~ a_truth(implies(X0,X1)) ),
inference(resolution,[],[f22,f2]) ).
fof(f50,plain,
! [X0] : ~ a_truth(implies(sk1,X0)),
inference(resolution,[],[f23,f5]) ).
fof(f58,plain,
$false,
inference(resolution,[],[f50,f2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL414-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n003.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 15:42:27 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 0.14/1.31 % (727525)Input is clausal, will run a generic CNF schedule.
% 0.14/1.31 % (727559)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3313901968:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.14/1.31 % (727559)First to succeed.
% 0.14/1.31 % (727559)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-727525"
% 0.14/1.31 % (727561)dis-21_1_sil=8000:lcm=predicate:random_seed=3531309821: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)
% 0.14/1.31 % (727561)Also succeeded, but the first one will report.
% 0.14/1.31 % (727556)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3157045010:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.14/1.31 % (727558)lrs+10_1_sil=8000:sp=occurrence:random_seed=3393151964:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.14/1.31 % (727557)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3462934619:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.14/1.31 % (727555)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=3359473073:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.14/1.31 % (727560)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=982280377:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.14/1.31 % (727560)Also succeeded, but the first one will report.
% 0.14/1.31 % (727558)Also succeeded, but the first one will report.
% 0.14/1.31 % (727559)Refutation found. Thanks to Tanya!
% 0.14/1.31 % SZS status Unsatisfiable for theBenchmark
% 0.14/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/1.31 % (727559)------------------------------
% 0.14/1.31 % (727559)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.14/1.31 % (727559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/1.31 % (727559)CaDiCaL version: 2.1.3
% 0.14/1.31 % (727559)Termination reason: Refutation
% 0.14/1.31 % (727559)Time elapsed: 0.001 s
% 0.14/1.31 % (727559)Peak memory usage: 88 MB
% 0.14/1.31 % (727559)Instructions burned: 1 (million)
% 0.14/1.31 % (727559)------------------------------
% 0.14/1.31 % (727559)------------------------------
% 0.14/1.31 % (727525)Success in time 0.269 s
% 0.14/1.31 % Vampire exiting
%------------------------------------------------------------------------------