%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL194-1 : 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 : 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 11:51:30 AM UTC 2026
% Result : Unsatisfiable 4.50s 2.01s
% Output : Refutation 4.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 15 ( 9 unt; 0 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 23 ( 15 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 7 ( 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 : 20 ( 20 !; 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(f4,axiom,
! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_5) ).
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] :
( ~ axiom(X0)
| theorem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_1) ).
fof(f7,axiom,
! [X0,X1] :
( theorem(X0)
| ~ axiom(or(not(X1),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(q,p)),or(p,r)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f13,plain,
! [X0] :
( ~ axiom(or(not(X0),or(not(or(not(q),r)),or(not(or(q,p)),or(p,r)))))
| ~ theorem(X0) ),
inference(resolution,[],[f7,f9]) ).
fof(f17,plain,
~ theorem(or(not(or(q,p)),or(not(or(not(q),r)),or(p,r)))),
inference(resolution,[],[f4,f13]) ).
fof(f20,plain,
! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(resolution,[],[f5,f6]) ).
fof(f49,plain,
! [X0] :
( ~ axiom(or(not(or(q,p)),X0))
| ~ theorem(or(not(X0),or(not(or(not(q),r)),or(p,r)))) ),
inference(resolution,[],[f17,f8]) ).
fof(f70,plain,
~ theorem(or(not(or(p,q)),or(not(or(not(q),r)),or(p,r)))),
inference(resolution,[],[f49,f3]) ).
fof(f122,plain,
! [X0] :
( ~ axiom(or(not(X0),or(not(or(p,q)),or(not(or(not(q),r)),or(p,r)))))
| ~ theorem(X0) ),
inference(resolution,[],[f70,f7]) ).
fof(f258,plain,
~ theorem(or(not(or(not(q),r)),or(not(or(p,q)),or(p,r)))),
inference(resolution,[],[f122,f4]) ).
fof(f261,plain,
$false,
inference(forward_subsumption_resolution,[],[f258,f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL194-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.22/0.48 % Computer : n020.cluster.edu
% 0.22/0.48 % Model : x86_64 x86_64
% 0.22/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.48 % Memory : 8046.5625MB
% 0.22/0.48 % OS : Linux 6.8.0-71-generic
% 0.22/0.48 % CPULimit : 300
% 0.22/0.48 % WCLimit : 300
% 0.22/0.48 % DateTime : Sun Sep 27 15:27:04 UTC 2026
% 0.22/0.49 % CPUTime :
% 0.22/0.49 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.26/0.54 Running first-order theorem proving
% 0.26/0.54 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
% 4.50/2.01 % (3534422)Input is clausal, will run a generic CNF schedule.
% 4.50/2.01 % (3534440)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1370104684:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.50/2.01 % (3534440)First to succeed.
% 4.50/2.01 % (3534440)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3534422"
% 4.50/2.01 % (3534435)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=4218980878:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.50/2.01 % (3534436)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2843080423:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.50/2.01 % (3534437)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1007961247:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.50/2.01 % (3534439)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1829816241:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.50/2.01 % (3534438)lrs+10_1_sil=8000:sp=occurrence:random_seed=2558705132:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.50/2.01 % (3534441)dis-21_1_sil=8000:lcm=predicate:random_seed=1847136464: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)
% 4.50/2.01 % (3534439)Also succeeded, but the first one will report.
% 4.50/2.01 % (3534438)Also succeeded, but the first one will report.
% 4.50/2.01 % (3534441)Also succeeded, but the first one will report.
% 4.50/2.01 % (3534440)Refutation found. Thanks to Tanya!
% 4.50/2.01 % SZS status Unsatisfiable for theBenchmark
% 4.50/2.01 % SZS output start Proof for theBenchmark
% See solution above
% 4.50/2.01 % (3534440)------------------------------
% 4.50/2.01 % (3534440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.50/2.01 % (3534440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.50/2.01 % (3534440)CaDiCaL version: 2.1.3
% 4.50/2.01 % (3534440)Termination reason: Refutation
% 4.50/2.01 % (3534440)Time elapsed: 0.009 s
% 4.50/2.01 % (3534440)Peak memory usage: 88 MB
% 4.50/2.01 % (3534440)Instructions burned: 12 (million)
% 4.50/2.01 % (3534440)------------------------------
% 4.50/2.01 % (3534440)------------------------------
% 4.50/2.01 % (3534422)Success in time 0.515 s
% 4.50/2.01 % Vampire exiting
%------------------------------------------------------------------------------