%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL205-1 : 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 : n010.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 11:51:33 AM UTC 2026
% Result : Unsatisfiable 3.55s 1.52s
% Output : Refutation 3.55s
% 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 : 33 ( 20 ~; 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 29 ( 29 !; 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(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(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(not(or(not(p),q))),or(not(p),not(q)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f11,plain,
! [X0] :
( ~ theorem(or(X0,X0))
| theorem(X0) ),
inference(resolution,[],[f7,f1]) ).
fof(f12,plain,
! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X1,X0)) ),
inference(resolution,[],[f7,f3]) ).
fof(f13,plain,
! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X1) ),
inference(resolution,[],[f7,f2]) ).
fof(f14,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X1,or(X0,X2))) ),
inference(resolution,[],[f4,f7]) ).
fof(f32,plain,
~ theorem(or(not(p),or(not(not(or(not(p),q))),not(q)))),
inference(resolution,[],[f14,f9]) ).
fof(f34,plain,
! [X0,X1] :
( ~ theorem(or(X0,or(or(X0,X1),X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f14,f11]) ).
fof(f47,plain,
~ theorem(or(not(not(or(not(p),q))),not(q))),
inference(resolution,[],[f32,f13]) ).
fof(f61,plain,
~ theorem(or(not(q),not(not(or(not(p),q))))),
inference(resolution,[],[f47,f12]) ).
fof(f70,plain,
! [X0] :
( ~ theorem(or(not(X0),not(not(or(not(p),q)))))
| ~ axiom(or(not(q),X0)) ),
inference(resolution,[],[f61,f8]) ).
fof(f78,plain,
! [X0,X1] :
( ~ axiom(or(X0,or(or(X0,X1),X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f34,f6]) ).
fof(f161,plain,
! [X0] : theorem(or(not(X0),X0)),
inference(resolution,[],[f78,f2]) ).
fof(f182,plain,
! [X0] :
( ~ theorem(or(not(not(or(not(p),q))),not(X0)))
| ~ axiom(or(not(q),X0)) ),
inference(resolution,[],[f70,f12]) ).
fof(f310,plain,
~ axiom(or(not(q),or(not(p),q))),
inference(resolution,[],[f161,f182]) ).
fof(f320,plain,
$false,
inference(forward_subsumption_resolution,[],[f310,f2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL205-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.20/0.48 % Computer : n010.cluster.edu
% 0.20/0.48 % Model : x86_64 x86_64
% 0.20/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.48 % Memory : 8046.5625MB
% 0.20/0.48 % OS : Linux 6.8.0-71-generic
% 0.20/0.48 % CPULimit : 300
% 0.20/0.48 % WCLimit : 300
% 0.20/0.48 % DateTime : Sun Sep 27 15:26:47 UTC 2026
% 0.20/0.48 % CPUTime :
% 0.20/0.48 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.51 Running first-order theorem proving
% 0.25/0.51 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
% 3.55/1.52 % (1093735)Input is clausal, will run a generic CNF schedule.
% 3.55/1.52 % (1093894)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=961642427:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.55/1.52 % (1093892)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=3343978362:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.55/1.52 % (1093898)dis-21_1_sil=8000:lcm=predicate:random_seed=3638112272: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)
% 3.55/1.52 % (1093896)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1447800964:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.55/1.52 % (1093893)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1109880038:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.55/1.52 % (1093895)lrs+10_1_sil=8000:sp=occurrence:random_seed=680928856:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.55/1.52 % (1093896)First to succeed.
% 3.55/1.52 % (1093896)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1093735"
% 3.55/1.52 % (1093897)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2111121032:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.55/1.52 % (1093895)Instruction limit reached!
% 3.55/1.52 % (1093895)------------------------------
% 3.55/1.52 % (1093895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.52 % (1093895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.52 % (1093895)CaDiCaL version: 2.1.3
% 3.55/1.52 % (1093895)Termination reason: Instruction limit
% 3.55/1.52 % (1093895)Termination phase: Saturation
% 3.55/1.52 % (1093895)Time elapsed: 0.065 s
% 3.55/1.52 % (1093895)Peak memory usage: 88 MB
% 3.55/1.52 % (1093895)Instructions burned: 107 (million)
% 3.55/1.52 % (1093898)Instruction limit reached!
% 3.55/1.52 % (1093898)------------------------------
% 3.55/1.52 % (1093898)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.52 % (1093898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.52 % (1093898)CaDiCaL version: 2.1.3
% 3.55/1.52 % (1093898)Termination reason: Instruction limit
% 3.55/1.52 % (1093898)Termination phase: Saturation
% 3.55/1.52 % (1093898)Time elapsed: 0.072 s
% 3.55/1.52 % (1093898)Peak memory usage: 88 MB
% 3.55/1.52 % (1093898)Instructions burned: 117 (million)
% 3.55/1.52 % (1093897)Also succeeded, but the first one will report.
% 3.55/1.52 % (1093907)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3207479253: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)
% 3.55/1.52 % (1093906)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=991570867:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.55/1.52 % (1093906)Refutation not found, incomplete strategy
% 3.55/1.52 % (1093906)------------------------------
% 3.55/1.52 % (1093906)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.52 % (1093906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.52 % (1093906)CaDiCaL version: 2.1.3
% 3.55/1.52 % (1093906)Termination reason: Refutation not found, incomplete strategy
% 3.55/1.52 % (1093906)Time elapsed: 0.001 s
% 3.55/1.52 % (1093906)Peak memory usage: 87 MB
% 3.55/1.52 % (1093896)Refutation found. Thanks to Tanya!
% 3.55/1.52 % SZS status Unsatisfiable for theBenchmark
% 3.55/1.52 % SZS output start Proof for theBenchmark
% See solution above
% 3.55/1.52 % (1093896)------------------------------
% 3.55/1.52 % (1093896)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.52 % (1093896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.52 % (1093896)CaDiCaL version: 2.1.3
% 3.55/1.52 % (1093896)Termination reason: Refutation
% 3.55/1.52 % (1093896)Time elapsed: 0.009 s
% 3.55/1.52 % (1093896)Peak memory usage: 88 MB
% 3.55/1.52 % (1093896)Instructions burned: 12 (million)
% 3.55/1.52 % (1093896)------------------------------
% 3.55/1.52 % (1093896)------------------------------
% 3.55/1.52 % (1093735)Success in time 0.403 s
% 3.55/1.52 % Vampire exiting
%------------------------------------------------------------------------------