%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL178-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 11:51:26 AM UTC 2026
% Result : Unsatisfiable 2.45s 1.24s
% Output : Refutation 2.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 26 ( 20 unt; 0 def)
% Number of atoms : 34 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 16 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 47 ( 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_3) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_4) ).
fof(f4,axiom,
! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_5) ).
fof(f6,axiom,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',implies_definition) ).
fof(f7,axiom,
! [X0] :
( ~ axiom(X0)
| theorem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_1) ).
fof(f8,axiom,
! [X0,X1] :
( theorem(X0)
| ~ theorem(implies(X1,X0))
| ~ theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_2) ).
fof(f9,negated_conjecture,
~ theorem(implies(p,not(not(p)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f11,plain,
! [X0,X1] : theorem(implies(X0,or(X1,X0))),
inference(resolution,[],[f2,f7]) ).
fof(f12,plain,
! [X0,X1] : theorem(implies(or(X0,X1),or(X1,X0))),
inference(resolution,[],[f3,f7]) ).
fof(f15,plain,
! [X0,X1] : theorem(implies(X1,implies(X0,X1))),
inference(superposition,[],[f11,f6]) ).
fof(f20,plain,
! [X0] :
( ~ theorem(implies(X0,implies(p,not(not(p)))))
| ~ theorem(X0) ),
inference(resolution,[],[f8,f9]) ).
fof(f23,plain,
! [X2,X0,X1] : theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
inference(resolution,[],[f4,f7]) ).
fof(f41,plain,
! [X0,X1] : theorem(implies(or(X1,not(X0)),implies(X0,X1))),
inference(superposition,[],[f12,f6]) ).
fof(f58,plain,
! [X2,X0,X1] : theorem(implies(or(not(X0),or(X2,X1)),or(X2,implies(X0,X1)))),
inference(superposition,[],[f23,f6]) ).
fof(f59,plain,
! [X2,X0,X1] : theorem(implies(or(X1,or(not(X0),X2)),implies(X0,or(X1,X2)))),
inference(superposition,[],[f23,f6]) ).
fof(f60,plain,
! [X2,X0,X1] : theorem(implies(or(X1,implies(X0,X2)),implies(X0,or(X1,X2)))),
inference(forward_demodulation,[],[f59,f6]) ).
fof(f61,plain,
! [X2,X0,X1] : theorem(implies(implies(X0,or(X2,X1)),or(X2,implies(X0,X1)))),
inference(forward_demodulation,[],[f58,f6]) ).
fof(f117,plain,
~ theorem(or(not(not(p)),not(p))),
inference(resolution,[],[f41,f20]) ).
fof(f126,plain,
~ theorem(implies(not(p),not(p))),
inference(forward_demodulation,[],[f117,f6]) ).
fof(f128,plain,
! [X0] :
( ~ theorem(implies(X0,implies(not(p),not(p))))
| ~ theorem(X0) ),
inference(resolution,[],[f126,f8]) ).
fof(f132,plain,
! [X0,X1] :
( ~ theorem(implies(X1,implies(X0,implies(not(p),not(p)))))
| ~ theorem(X0)
| ~ theorem(X1) ),
inference(resolution,[],[f128,f8]) ).
fof(f143,plain,
! [X2,X0,X1] : theorem(implies(or(not(X0),implies(X2,X1)),implies(X2,implies(X0,X1)))),
inference(superposition,[],[f60,f6]) ).
fof(f144,plain,
! [X2,X0,X1] : theorem(implies(implies(X0,implies(X2,X1)),implies(X2,implies(X0,X1)))),
inference(forward_demodulation,[],[f143,f6]) ).
fof(f259,plain,
! [X0] :
( ~ theorem(X0)
| ~ theorem(implies(not(p),implies(X0,not(p)))) ),
inference(resolution,[],[f132,f144]) ).
fof(f261,plain,
! [X0] : ~ theorem(X0),
inference(forward_subsumption_resolution,[],[f259,f15]) ).
fof(f275,plain,
$false,
inference(resolution,[],[f261,f61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL178-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n007.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 15:22:56 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 2.45/1.24 % (1583345)Input is clausal, will run a generic CNF schedule.
% 2.45/1.24 % (1583355)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2797027638:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.45/1.24 % (1583355)First to succeed.
% 2.45/1.24 % (1583355)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1583345"
% 2.45/1.24 % (1583354)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1965872873:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.45/1.24 % (1583353)lrs+10_1_sil=8000:sp=occurrence:random_seed=2379826901:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.45/1.24 % (1583353)Also succeeded, but the first one will report.
% 2.45/1.24 % (1583352)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2609275555:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.45/1.24 % (1583351)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1035588919:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.45/1.24 % (1583350)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=1627504681:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.45/1.24 % (1583356)dis-21_1_sil=8000:lcm=predicate:random_seed=1996800284: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)
% 2.45/1.24 % (1583356)Also succeeded, but the first one will report.
% 2.45/1.24 % (1583354)Instruction limit reached!
% 2.45/1.24 % (1583354)------------------------------
% 2.45/1.24 % (1583354)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.45/1.24 % (1583354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.45/1.24 % (1583354)CaDiCaL version: 2.1.3
% 2.45/1.24 % (1583354)Termination reason: Instruction limit
% 2.45/1.24 % (1583354)Termination phase: Saturation
% 2.45/1.24 % (1583354)Time elapsed: 0.064 s
% 2.45/1.24 % (1583354)Peak memory usage: 87 MB
% 2.45/1.24 % (1583354)Instructions burned: 116 (million)
% 2.45/1.24 % (1583355)Refutation found. Thanks to Tanya!
% 2.45/1.24 % SZS status Unsatisfiable for theBenchmark
% 2.45/1.24 % SZS output start Proof for theBenchmark
% See solution above
% 2.45/1.24 % (1583355)------------------------------
% 2.45/1.24 % (1583355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.45/1.24 % (1583355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.45/1.24 % (1583355)CaDiCaL version: 2.1.3
% 2.45/1.24 % (1583355)Termination reason: Refutation
% 2.45/1.24 % (1583355)Time elapsed: 0.007 s
% 2.45/1.24 % (1583355)Peak memory usage: 88 MB
% 2.45/1.24 % (1583355)Instructions burned: 15 (million)
% 2.45/1.24 % (1583355)------------------------------
% 2.45/1.24 % (1583355)------------------------------
% 2.45/1.24 % (1583345)Success in time 0.287 s
% 2.45/1.24 % Vampire exiting
%------------------------------------------------------------------------------