%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL197-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 11:51:31 AM UTC 2026
% Result : Unsatisfiable 3.73s 1.52s
% Output : Refutation 3.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 19 ( 12 unt; 0 def)
% Number of atoms : 29 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 17 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : axiom(implies(or(X0,X0),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_2) ).
fof(f4,axiom,
! [X2,X0,X1] : axiom(implies(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(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_6) ).
fof(f6,axiom,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',implies_definition) ).
fof(f7,axiom,
! [X0] :
( ~ axiom(X0)
| theorem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_1) ).
fof(f8,axiom,
! [X0,X1] :
( theorem(X0)
| ~ theorem(implies(X1,X0))
| ~ theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_2) ).
fof(f9,negated_conjecture,
~ theorem(implies(or(q,or(p,q)),or(p,q))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f10,plain,
! [X0] : theorem(implies(or(X0,X0),X0)),
inference(resolution,[],[f1,f7]) ).
fof(f20,plain,
! [X0] :
( ~ theorem(implies(X0,implies(or(q,or(p,q)),or(p,q))))
| ~ theorem(X0) ),
inference(resolution,[],[f8,f9]) ).
fof(f22,plain,
! [X0,X1] :
( ~ theorem(implies(X1,implies(X0,implies(or(q,or(p,q)),or(p,q)))))
| ~ theorem(X0)
| ~ theorem(X1) ),
inference(resolution,[],[f20,f8]) ).
fof(f23,plain,
! [X2,X0,X1] : theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
inference(resolution,[],[f4,f7]) ).
fof(f34,plain,
! [X2,X0,X1] : theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
inference(resolution,[],[f5,f7]) ).
fof(f87,plain,
! [X2,X0,X1] : theorem(implies(implies(X2,X1),implies(or(not(X0),X2),implies(X0,X1)))),
inference(superposition,[],[f34,f6]) ).
fof(f88,plain,
! [X2,X0,X1] : theorem(implies(implies(X2,X1),implies(implies(X0,X2),implies(X0,X1)))),
inference(forward_demodulation,[],[f87,f6]) ).
fof(f171,plain,
! [X0] :
( ~ theorem(implies(X0,or(p,q)))
| ~ theorem(implies(or(q,or(p,q)),X0)) ),
inference(resolution,[],[f88,f22]) ).
fof(f192,plain,
! [X0,X1] :
( ~ theorem(implies(or(q,or(p,q)),X0))
| ~ theorem(implies(X1,implies(X0,or(p,q))))
| ~ theorem(X1) ),
inference(resolution,[],[f171,f8]) ).
fof(f255,plain,
! [X0] :
( ~ theorem(implies(X0,implies(or(p,or(q,q)),or(p,q))))
| ~ theorem(X0) ),
inference(resolution,[],[f192,f23]) ).
fof(f298,plain,
~ theorem(implies(or(q,q),q)),
inference(resolution,[],[f255,f34]) ).
fof(f300,plain,
$false,
inference(forward_subsumption_resolution,[],[f298,f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL197-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n008.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 15:26:55 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 3.73/1.52 % (1380345)Input is clausal, will run a generic CNF schedule.
% 3.73/1.52 % (1380392)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2087006391:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.73/1.52 % (1380386)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=1165928436:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.73/1.52 % (1380390)lrs+10_1_sil=8000:sp=occurrence:random_seed=37895713:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.73/1.52 % (1380393)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=106614026:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.73/1.52 % (1380387)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3758893607:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.73/1.52 % (1380392)Instruction limit reached!
% 3.73/1.52 % (1380392)------------------------------
% 3.73/1.52 % (1380392)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.52 % (1380392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.52 % (1380392)CaDiCaL version: 2.1.3
% 3.73/1.52 % (1380392)Termination reason: Instruction limit
% 3.73/1.52 % (1380392)Termination phase: Saturation
% 3.73/1.52 % (1380392)Time elapsed: 0.043 s
% 3.73/1.52 % (1380392)Peak memory usage: 87 MB
% 3.73/1.52 % (1380392)Instructions burned: 118 (million)
% 3.73/1.52 % (1380393)First to succeed.
% 3.73/1.52 % (1380393)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1380345"
% 3.73/1.52 % (1380395)dis-21_1_sil=8000:lcm=predicate:random_seed=3269109257: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)
% 3.73/1.52 % (1380389)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2097700495:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.73/1.52 % (1380390)Instruction limit reached!
% 3.73/1.52 % (1380390)------------------------------
% 3.73/1.52 % (1380390)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.52 % (1380390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.52 % (1380390)CaDiCaL version: 2.1.3
% 3.73/1.52 % (1380390)Termination reason: Instruction limit
% 3.73/1.52 % (1380390)Termination phase: Saturation
% 3.73/1.52 % (1380390)Time elapsed: 0.071 s
% 3.73/1.52 % (1380390)Peak memory usage: 89 MB
% 3.73/1.52 % (1380390)Instructions burned: 107 (million)
% 3.73/1.52 % (1380395)Instruction limit reached!
% 3.73/1.52 % (1380395)------------------------------
% 3.73/1.52 % (1380395)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.52 % (1380395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.52 % (1380395)CaDiCaL version: 2.1.3
% 3.73/1.52 % (1380395)Termination reason: Instruction limit
% 3.73/1.52 % (1380395)Termination phase: Saturation
% 3.73/1.52 % (1380395)Time elapsed: 0.066 s
% 3.73/1.52 % (1380395)Peak memory usage: 87 MB
% 3.73/1.52 % (1380395)Instructions burned: 118 (million)
% 3.73/1.52 % (1380448)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=952944381:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.73/1.52 % (1380448)Refutation not found, incomplete strategy
% 3.73/1.52 % (1380448)------------------------------
% 3.73/1.52 % (1380448)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.52 % (1380448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.52 % (1380448)CaDiCaL version: 2.1.3
% 3.73/1.52 % (1380448)Termination reason: Refutation not found, incomplete strategy
% 3.73/1.52 % (1380448)Time elapsed: 0.001 s
% 3.73/1.52 % (1380448)Peak memory usage: 88 MB
% 3.73/1.52 % (1380460)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=513923187:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.73/1.52 % (1380460)Refutation not found, incomplete strategy
% 3.73/1.52 % (1380460)------------------------------
% 3.73/1.52 % (1380460)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.52 % (1380460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.52 % (1380460)CaDiCaL version: 2.1.3
% 3.73/1.52 % (1380460)Termination reason: Refutation not found, incomplete strategy
% 3.73/1.52 % (1380460)Time elapsed: 0.001 s
% 3.73/1.52 % (1380460)Peak memory usage: 87 MB
% 3.73/1.52 % (1380461)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3754451542:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.73/1.52 % (1380461)Refutation not found, incomplete strategy
% 3.73/1.52 % (1380461)------------------------------
% 3.73/1.52 % (1380461)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.52 % (1380461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.52 % (1380461)CaDiCaL version: 2.1.3
% 3.73/1.52 % (1380461)Termination reason: Refutation not found, incomplete strategy
% 3.73/1.52 % (1380461)Time elapsed: 0.001 s
% 3.73/1.52 % (1380461)Peak memory usage: 87 MB
% 3.73/1.52 % (1380393)Refutation found. Thanks to Tanya!
% 3.73/1.52 % SZS status Unsatisfiable for theBenchmark
% 3.73/1.52 % SZS output start Proof for theBenchmark
% See solution above
% 3.73/1.52 % (1380393)------------------------------
% 3.73/1.52 % (1380393)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.52 % (1380393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.52 % (1380393)CaDiCaL version: 2.1.3
% 3.73/1.52 % (1380393)Termination reason: Refutation
% 3.73/1.52 % (1380393)Time elapsed: 0.015 s
% 3.73/1.52 % (1380393)Peak memory usage: 88 MB
% 3.73/1.52 % (1380393)Instructions burned: 20 (million)
% 3.73/1.52 % (1380393)------------------------------
% 3.73/1.52 % (1380393)------------------------------
% 3.73/1.52 % (1380345)Success in time 0.445 s
% 3.73/1.52 % Vampire exiting
%------------------------------------------------------------------------------