%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL193-1 : TPTP v9.3.1. Released v1.1.0.
% 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 11:51:30 AM UTC 2026
% Result : Unsatisfiable 3.58s 1.49s
% Output : Refutation 3.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 12 ( 6 unt; 0 def)
% Number of atoms : 20 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 13 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_4) ).
fof(f5,axiom,
! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_6) ).
fof(f6,axiom,
! [X0] :
( theorem(X0)
| ~ axiom(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_1) ).
fof(f7,axiom,
! [X0,X1] :
( ~ axiom(or(not(X1),X0))
| theorem(X0)
| ~ theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_2) ).
fof(f8,axiom,
! [X2,X0,X1] :
( theorem(or(not(X0),X1))
| ~ axiom(or(not(X0),X2))
| ~ theorem(or(not(X2),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_3) ).
fof(f9,negated_conjecture,
~ theorem(or(not(or(not(q),r)),or(not(or(p,q)),or(r,p)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f16,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) ),
inference(resolution,[],[f5,f7]) ).
fof(f19,plain,
! [X0] :
( ~ theorem(or(not(X0),or(not(or(p,q)),or(r,p))))
| ~ axiom(or(not(or(not(q),r)),X0)) ),
inference(resolution,[],[f8,f9]) ).
fof(f39,plain,
! [X0] :
( ~ axiom(or(not(or(not(q),r)),or(not(or(p,q)),X0)))
| ~ theorem(or(not(X0),or(r,p))) ),
inference(resolution,[],[f16,f19]) ).
fof(f65,plain,
~ theorem(or(not(or(p,r)),or(r,p))),
inference(resolution,[],[f39,f5]) ).
fof(f98,plain,
~ axiom(or(not(or(p,r)),or(r,p))),
inference(resolution,[],[f65,f6]) ).
fof(f99,plain,
$false,
inference(forward_subsumption_resolution,[],[f98,f3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL193-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n005.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 15:26:03 UTC 2026
% 0.14/0.38 % CPUTime :
% 0.14/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 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
% 3.58/1.49 % (4135327)Input is clausal, will run a generic CNF schedule.
% 3.58/1.49 % (4135417)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=107507162:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.58/1.49 % (4135422)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3907547:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.58/1.49 % (4135415)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=427701675:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.58/1.49 % (4135426)dis-21_1_sil=8000:lcm=predicate:random_seed=26455380: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)
% 3.58/1.49 % (4135421)lrs+10_1_sil=8000:sp=occurrence:random_seed=1398679037:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.58/1.49 % (4135424)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2169093478:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.58/1.49 % (4135419)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2445103314:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.58/1.49 % (4135422)First to succeed.
% 3.58/1.49 % (4135422)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4135327"
% 3.58/1.49 % (4135424)Also succeeded, but the first one will report.
% 3.58/1.49 % (4135426)Also succeeded, but the first one will report.
% 3.58/1.49 % (4135421)Also succeeded, but the first one will report.
% 3.58/1.49 % (4135422)Refutation found. Thanks to Tanya!
% 3.58/1.49 % SZS status Unsatisfiable for theBenchmark
% 3.58/1.49 % SZS output start Proof for theBenchmark
% See solution above
% 3.58/1.49 % (4135422)------------------------------
% 3.58/1.49 % (4135422)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.49 % (4135422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.49 % (4135422)CaDiCaL version: 2.1.3
% 3.58/1.49 % (4135422)Termination reason: Refutation
% 3.58/1.49 % (4135422)Time elapsed: 0.003 s
% 3.58/1.49 % (4135422)Peak memory usage: 87 MB
% 3.58/1.49 % (4135422)Instructions burned: 3 (million)
% 3.58/1.49 % (4135422)------------------------------
% 3.58/1.49 % (4135422)------------------------------
% 3.58/1.49 % (4135327)Success in time 0.419 s
% 3.58/1.49 % Vampire exiting
%------------------------------------------------------------------------------