%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL237-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 11:51:42 AM UTC 2026
% Result : Unsatisfiable 9.88s 2.84s
% Output : Refutation 9.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 27 ( 14 unt; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 31 ( 16 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 61 ( 61 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_2) ).
fof(f2,axiom,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_3) ).
fof(f3,axiom,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',axiom_1_6) ).
fof(f6,axiom,
! [X0] :
( ~ axiom(X0)
| theorem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_1) ).
fof(f7,axiom,
! [X0,X1] :
( ~ axiom(or(not(X1),X0))
| theorem(X0)
| ~ theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_2) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ theorem(or(not(X2),X1))
| ~ axiom(or(not(X0),X2))
| theorem(or(not(X0),X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_3) ).
fof(f9,negated_conjecture,
~ theorem(or(not(q),or(not(p),not(or(not(p),not(q)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f12,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[],[f3,f6]) ).
fof(f13,plain,
! [X0] :
( ~ theorem(or(X0,X0))
| theorem(X0) ),
inference(resolution,[],[f7,f1]) ).
fof(f14,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f7,f3]) ).
fof(f15,plain,
! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X1) ),
inference(resolution,[],[f7,f2]) ).
fof(f30,plain,
! [X2,X0,X1] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f4,f7]) ).
fof(f36,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f30,f15]) ).
fof(f69,plain,
! [X0,X1] :
( ~ theorem(or(or(X0,X1),X1))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f36,f13]) ).
fof(f70,plain,
! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X2,X1),X0)) ),
inference(resolution,[],[f36,f14]) ).
fof(f220,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) ),
inference(resolution,[],[f5,f7]) ).
fof(f487,plain,
! [X2,X0,X1] :
( ~ axiom(or(not(X0),or(X1,X2)))
| theorem(or(not(X0),or(X2,X1))) ),
inference(resolution,[],[f8,f12]) ).
fof(f1370,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(or(X2,X1),not(or(X2,X0)))) ),
inference(resolution,[],[f220,f14]) ).
fof(f2066,plain,
! [X0,X1] : theorem(or(not(X0),or(X0,X1))),
inference(resolution,[],[f487,f2]) ).
fof(f2815,plain,
! [X2,X0,X1] : theorem(or(or(X0,or(X1,X2)),not(or(X0,X1)))),
inference(resolution,[],[f1370,f2066]) ).
fof(f3011,plain,
! [X2,X3,X0,X1] : theorem(or(or(X0,not(or(X1,X2))),or(X1,or(X2,X3)))),
inference(resolution,[],[f2815,f70]) ).
fof(f3228,plain,
! [X2,X3,X0,X1] : theorem(or(or(X0,or(X1,X2)),or(X3,not(or(X0,X1))))),
inference(resolution,[],[f3011,f14]) ).
fof(f3351,plain,
! [X0,X1] : theorem(or(X0,or(X1,not(or(X0,X1))))),
inference(resolution,[],[f3228,f69]) ).
fof(f3358,plain,
! [X0,X1] : theorem(or(X0,or(X1,not(or(X1,X0))))),
inference(resolution,[],[f3351,f30]) ).
fof(f3362,plain,
$false,
inference(resolution,[],[f3358,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL237-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/0.47 % Computer : n009.cluster.edu
% 0.20/0.47 % Model : x86_64 x86_64
% 0.20/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.47 % Memory : 8046.5625MB
% 0.20/0.47 % OS : Linux 6.8.0-71-generic
% 0.20/0.47 % CPULimit : 300
% 0.20/0.47 % WCLimit : 300
% 0.20/0.47 % DateTime : Sun Sep 27 15:28:45 UTC 2026
% 0.20/0.47 % CPUTime :
% 0.20/0.47 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.53 Running first-order theorem proving
% 0.24/0.53 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
% 9.88/2.84 % (2175229)Input is clausal, will run a generic CNF schedule.
% 9.88/2.84 % (2175238)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2171727326:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.88/2.84 % (2175238)Instruction limit reached!
% 9.88/2.84 % (2175238)------------------------------
% 9.88/2.84 % (2175238)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.88/2.84 % (2175238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.88/2.84 % (2175238)CaDiCaL version: 2.1.3
% 9.88/2.84 % (2175238)Termination reason: Instruction limit
% 9.88/2.84 % (2175238)Termination phase: Saturation
% 9.88/2.84 % (2175238)Time elapsed: 0.061 s
% 9.88/2.84 % (2175238)Peak memory usage: 88 MB
% 9.88/2.84 % (2175238)Instructions burned: 115 (million)
% 9.88/2.84 % (2175236)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3968767648:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.88/2.84 % (2175235)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2539068387:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.88/2.84 % (2175234)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=4210782843:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.88/2.84 % (2175239)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=774856147:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.88/2.84 % (2175240)dis-21_1_sil=8000:lcm=predicate:random_seed=1494025081: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)
% 9.88/2.84 % (2175237)lrs+10_1_sil=8000:sp=occurrence:random_seed=35848474:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.88/2.84 % (2175240)Instruction limit reached!
% 9.88/2.84 % (2175240)------------------------------
% 9.88/2.84 % (2175240)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.88/2.84 % (2175240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.88/2.84 % (2175240)CaDiCaL version: 2.1.3
% 9.88/2.84 % (2175240)Termination reason: Instruction limit
% 9.88/2.84 % (2175240)Termination phase: Saturation
% 9.88/2.84 % (2175240)Time elapsed: 0.106 s
% 9.88/2.84 % (2175240)Peak memory usage: 88 MB
% 9.88/2.84 % (2175240)Instructions burned: 118 (million)
% 9.88/2.84 % (2175237)Instruction limit reached!
% 9.88/2.84 % (2175237)------------------------------
% 9.88/2.84 % (2175237)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.88/2.84 % (2175237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.88/2.84 % (2175237)CaDiCaL version: 2.1.3
% 9.88/2.84 % (2175237)Termination reason: Instruction limit
% 9.88/2.84 % (2175237)Termination phase: Saturation
% 9.88/2.84 % (2175237)Time elapsed: 0.111 s
% 9.88/2.84 % (2175237)Peak memory usage: 88 MB
% 9.88/2.84 % (2175237)Instructions burned: 107 (million)
% 9.88/2.84 % (2175239)Instruction limit reached!
% 9.88/2.84 % (2175239)------------------------------
% 9.88/2.84 % (2175239)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.88/2.84 % (2175239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.88/2.84 % (2175239)CaDiCaL version: 2.1.3
% 9.88/2.84 % (2175239)Termination reason: Instruction limit
% 9.88/2.84 % (2175239)Termination phase: Saturation
% 9.88/2.84 % (2175239)Time elapsed: 0.181 s
% 9.88/2.84 % (2175239)Peak memory usage: 89 MB
% 9.88/2.84 % (2175239)Instructions burned: 180 (million)
% 9.88/2.84 % (2175245)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3381115765:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 9.88/2.84 % (2175245)Refutation not found, incomplete strategy
% 9.88/2.84 % (2175245)------------------------------
% 9.88/2.84 % (2175245)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.88/2.84 % (2175245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.88/2.84 % (2175245)CaDiCaL version: 2.1.3
% 9.88/2.84 % (2175245)Termination reason: Refutation not found, incomplete strategy
% 9.88/2.84 % (2175245)Time elapsed: 0.002 s
% 9.88/2.84 % (2175245)Peak memory usage: 87 MB
% 9.88/2.84 % (2175249)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=986639161:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 9.88/2.84 % (2175250)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2830305864:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 9.88/2.84 % (2175251)lrs+10_64_to=lpo:sil=8000:random_seed=3730919541:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 9.88/2.84 % (2175250)Instruction limit reached!
% 9.88/2.84 % (2175250)------------------------------
% 9.88/2.84 % (2175250)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.88/2.84 % (2175250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.88/2.84 % (2175250)CaDiCaL version: 2.1.3
% 9.88/2.84 % (2175250)Termination reason: Instruction limit
% 9.88/2.84 % (2175250)Termination phase: Saturation
% 9.88/2.84 % (2175250)Time elapsed: 0.100 s
% 9.88/2.84 % (2175250)Peak memory usage: 89 MB
% 9.88/2.84 % (2175250)Instructions burned: 219 (million)
% 9.88/2.84 % (2175251)First to succeed.
% 9.88/2.84 % (2175251)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2175229"
% 9.88/2.84 % (2175249)Instruction limit reached!
% 9.88/2.84 % (2175249)------------------------------
% 9.88/2.84 % (2175249)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.88/2.84 % (2175249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.88/2.84 % (2175249)CaDiCaL version: 2.1.3
% 9.88/2.84 % (2175249)Termination reason: Instruction limit
% 9.88/2.84 % (2175249)Termination phase: Saturation
% 9.88/2.84 % (2175249)Time elapsed: 0.179 s
% 9.88/2.84 % (2175249)Peak memory usage: 90 MB
% 9.88/2.84 % (2175249)Instructions burned: 189 (million)
% 9.88/2.84 % (2175245)------------------------------
% 9.88/2.84 % (2175245)------------------------------
% 9.88/2.84 % (2175256)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3961248252:avsq=on:i=194:fgj=on:bd=preordered_2992 on theBenchmark for (2992ds/194Mi)
% 9.88/2.84 % (2175256)Instruction limit reached!
% 9.88/2.84 % (2175256)------------------------------
% 9.88/2.84 % (2175256)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.88/2.84 % (2175256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.88/2.84 % (2175256)CaDiCaL version: 2.1.3
% 9.88/2.84 % (2175256)Termination reason: Instruction limit
% 9.88/2.84 % (2175256)Termination phase: Saturation
% 9.88/2.84 % (2175256)Time elapsed: 0.105 s
% 9.88/2.84 % (2175256)Peak memory usage: 89 MB
% 9.88/2.84 % (2175256)Instructions burned: 195 (million)
% 9.88/2.84 % (2175257)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=403365560:i=157:gtg=all_2991 on theBenchmark for (2991ds/157Mi)
% 9.88/2.84 % (2175251)Refutation found. Thanks to Tanya!
% 9.88/2.84 % SZS status Unsatisfiable for theBenchmark
% 9.88/2.84 % SZS output start Proof for theBenchmark
% See solution above
% 9.88/2.85 % (2175251)------------------------------
% 9.88/2.85 % (2175251)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.88/2.85 % (2175251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.88/2.85 % (2175251)CaDiCaL version: 2.1.3
% 9.88/2.85 % (2175251)Termination reason: Refutation
% 9.88/2.85 % (2175251)Time elapsed: 0.095 s
% 9.88/2.85 % (2175251)Peak memory usage: 89 MB
% 9.88/2.85 % (2175251)Instructions burned: 94 (million)
% 9.88/2.85 % (2175251)------------------------------
% 9.88/2.85 % (2175251)------------------------------
% 9.88/2.85 % (2175229)Success in time 1.252 s
% 9.88/2.85 % Vampire exiting
%------------------------------------------------------------------------------