%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL230-1 : 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 : n017.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 11:51:40 AM UTC 2026
% Result : Unsatisfiable 2.60s 1.38s
% Output : Refutation 2.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 22 ( 11 unt; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 21 ~; 13 |; 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 : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_2) ).
fof(f2,axiom,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_3) ).
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] :
( 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(or(p,q)),or(p,r))),or(p,or(not(q),r)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f11,plain,
! [X0] :
( ~ theorem(or(X0,X0))
| theorem(X0) ),
inference(resolution,[],[f7,f1]) ).
fof(f14,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X1,or(X0,X2))) ),
inference(resolution,[],[f4,f7]) ).
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] :
( ~ axiom(or(not(or(not(or(p,q)),or(p,r))),X0))
| ~ theorem(or(not(X0),or(p,or(not(q),r)))) ),
inference(resolution,[],[f8,f9]) ).
fof(f24,plain,
~ theorem(or(not(or(p,or(not(or(p,q)),r))),or(p,or(not(q),r)))),
inference(resolution,[],[f19,f4]) ).
fof(f36,plain,
! [X0,X1] :
( ~ theorem(or(X0,or(or(X0,X1),X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f14,f11]) ).
fof(f38,plain,
~ theorem(or(not(or(not(or(p,q)),r)),or(not(q),r))),
inference(resolution,[],[f24,f16]) ).
fof(f79,plain,
! [X0,X1] :
( ~ axiom(or(X0,or(or(X0,X1),X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f36,f6]) ).
fof(f93,plain,
~ theorem(or(not(q),or(not(or(not(or(p,q)),r)),r))),
inference(resolution,[],[f38,f14]) ).
fof(f186,plain,
! [X0] : theorem(or(not(X0),X0)),
inference(resolution,[],[f79,f2]) ).
fof(f209,plain,
! [X0] :
( ~ theorem(or(not(X0),or(not(or(not(or(p,q)),r)),r)))
| ~ axiom(or(not(q),X0)) ),
inference(resolution,[],[f93,f8]) ).
fof(f642,plain,
! [X0] :
( ~ theorem(or(not(or(not(or(p,q)),r)),or(not(X0),r)))
| ~ axiom(or(not(q),X0)) ),
inference(resolution,[],[f209,f14]) ).
fof(f1687,plain,
~ axiom(or(not(q),or(p,q))),
inference(resolution,[],[f642,f186]) ).
fof(f1702,plain,
$false,
inference(forward_subsumption_resolution,[],[f1687,f2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL230-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n017.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 15:23:50 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 2.60/1.38 % (2731337)Input is clausal, will run a generic CNF schedule.
% 2.60/1.38 % (2731346)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1612728329:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.60/1.38 % (2731346)First to succeed.
% 2.60/1.38 % (2731346)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2731337"
% 2.60/1.38 % (2731342)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=3757860757:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.60/1.38 % (2731344)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3427444890:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.60/1.38 % (2731343)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=28983819:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.60/1.38 % (2731345)lrs+10_1_sil=8000:sp=occurrence:random_seed=1150843712:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.60/1.38 % (2731348)dis-21_1_sil=8000:lcm=predicate:random_seed=2725940939: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)
% 2.60/1.38 % (2731347)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1283207829:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.60/1.38 % (2731345)Also succeeded, but the first one will report.
% 2.60/1.38 % (2731348)Instruction limit reached!
% 2.60/1.38 % (2731348)------------------------------
% 2.60/1.38 % (2731348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.60/1.38 % (2731348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/1.38 % (2731348)CaDiCaL version: 2.1.3
% 2.60/1.38 % (2731348)Termination reason: Instruction limit
% 2.60/1.38 % (2731348)Termination phase: Saturation
% 2.60/1.38 % (2731348)Time elapsed: 0.073 s
% 2.60/1.38 % (2731348)Peak memory usage: 88 MB
% 2.60/1.38 % (2731348)Instructions burned: 118 (million)
% 2.60/1.38 % (2731347)Instruction limit reached!
% 2.60/1.38 % (2731347)------------------------------
% 2.60/1.38 % (2731347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.60/1.38 % (2731346)Refutation found. Thanks to Tanya!
% 2.60/1.38 % SZS status Unsatisfiable for theBenchmark
% 2.60/1.38 % SZS output start Proof for theBenchmark
% See solution above
% 2.60/1.38 % (2731346)------------------------------
% 2.60/1.38 % (2731346)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.60/1.38 % (2731346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/1.38 % (2731346)CaDiCaL version: 2.1.3
% 2.60/1.38 % (2731346)Termination reason: Refutation
% 2.60/1.38 % (2731346)Time elapsed: 0.019 s
% 2.60/1.38 % (2731346)Peak memory usage: 88 MB
% 2.60/1.38 % (2731346)Instructions burned: 52 (million)
% 2.60/1.38 % (2731346)------------------------------
% 2.60/1.38 % (2731346)------------------------------
% 2.60/1.38 % (2731337)Success in time 0.29 s
% 2.60/1.38 % Vampire exiting
%------------------------------------------------------------------------------