%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL212-1 : 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 : n020.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 11:51:35 AM UTC 2026
% Result : Unsatisfiable 3.40s 1.25s
% Output : Refutation 3.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 19 ( 8 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 37 ( 23 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 8 ( 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 : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_2) ).
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] :
( theorem(X0)
| ~ axiom(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(X0),X1))
| ~ axiom(or(not(X0),X2))
| ~ theorem(or(not(X2),X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_3) ).
fof(f9,negated_conjecture,
~ theorem(or(not(or(not(not(p)),q)),or(not(or(not(p),q)),q))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
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] :
( ~ theorem(or(not(X0),or(not(or(not(p),q)),q)))
| ~ axiom(or(not(or(not(not(p)),q)),X0)) ),
inference(resolution,[],[f8,f9]) ).
fof(f33,plain,
! [X0] :
( ~ theorem(or(not(or(not(p),q)),or(not(X0),q)))
| ~ axiom(or(not(or(not(not(p)),q)),X0)) ),
inference(resolution,[],[f14,f19]) ).
fof(f57,plain,
! [X0,X1] :
( ~ axiom(or(not(or(not(not(p)),q)),X0))
| ~ axiom(or(not(or(not(p),q)),X1))
| ~ theorem(or(not(X1),or(not(X0),q))) ),
inference(resolution,[],[f33,f8]) ).
fof(f134,plain,
! [X0,X1] :
( ~ theorem(or(not(X0),or(not(or(not(or(X1,not(p))),or(X1,q))),q)))
| ~ axiom(or(not(or(not(p),q)),X0)) ),
inference(resolution,[],[f57,f5]) ).
fof(f288,plain,
! [X0,X1] :
( ~ theorem(or(not(or(not(or(X1,not(p))),or(X1,q))),or(not(X0),q)))
| ~ axiom(or(not(or(not(p),q)),X0)) ),
inference(resolution,[],[f134,f14]) ).
fof(f654,plain,
! [X0] :
( ~ axiom(or(not(or(not(p),q)),or(X0,not(p))))
| ~ theorem(or(not(or(X0,q)),q)) ),
inference(resolution,[],[f288,f16]) ).
fof(f1478,plain,
~ theorem(or(not(or(q,q)),q)),
inference(resolution,[],[f654,f3]) ).
fof(f1485,plain,
~ axiom(or(not(or(q,q)),q)),
inference(resolution,[],[f1478,f6]) ).
fof(f1486,plain,
$false,
inference(forward_subsumption_resolution,[],[f1485,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL212-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n020.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 15:27:35 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 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
% 3.40/1.25 % (3535763)Input is clausal, will run a generic CNF schedule.
% 3.40/1.25 % (3535813)lrs+10_1_sil=8000:sp=occurrence:random_seed=700308096:i=107:sd=3:ss=axioms:sgt=8_3000 on theBenchmark for (3000ds/107Mi)
% 3.40/1.25 % (3535811)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3628279579:i=132376:av=off_3000 on theBenchmark for (3000ds/132376Mi)
% 3.40/1.25 % (3535815)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=737271120:s2a=on:i=180:gtg=position_3000 on theBenchmark for (3000ds/180Mi)
% 3.40/1.25 % (3535812)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3849456435:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_3000 on theBenchmark for (3000ds/137899Mi)
% 3.40/1.25 % (3535816)dis-21_1_sil=8000:lcm=predicate:random_seed=3270482199:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_3000 on theBenchmark for (3000ds/117Mi)
% 3.40/1.25 % (3535810)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=2916990054:i=140167_3000 on theBenchmark for (3000ds/140167Mi)
% 3.40/1.25 % (3535814)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1074467135:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_3000 on theBenchmark for (3000ds/114Mi)
% 3.40/1.25 % (3535814)First to succeed.
% 3.40/1.25 % (3535814)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3535763"
% 3.40/1.25 % (3535813)Instruction limit reached!
% 3.40/1.25 % (3535813)------------------------------
% 3.40/1.25 % (3535813)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.40/1.25 % (3535813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/1.25 % (3535813)CaDiCaL version: 2.1.3
% 3.40/1.25 % (3535813)Termination reason: Instruction limit
% 3.40/1.25 % (3535813)Termination phase: Saturation
% 3.40/1.25 % (3535813)Time elapsed: 0.064 s
% 3.40/1.25 % (3535813)Peak memory usage: 88 MB
% 3.40/1.25 % (3535813)Instructions burned: 107 (million)
% 3.40/1.25 % (3535816)Instruction limit reached!
% 3.40/1.25 % (3535816)------------------------------
% 3.40/1.25 % (3535816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.40/1.25 % (3535816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/1.25 % (3535816)CaDiCaL version: 2.1.3
% 3.40/1.25 % (3535816)Termination reason: Instruction limit
% 3.40/1.25 % (3535816)Termination phase: Saturation
% 3.40/1.25 % (3535816)Time elapsed: 0.070 s
% 3.40/1.25 % (3535816)Peak memory usage: 88 MB
% 3.40/1.25 % (3535816)Instructions burned: 117 (million)
% 3.40/1.25 % (3535815)Instruction limit reached!
% 3.40/1.25 % (3535815)------------------------------
% 3.40/1.25 % (3535815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.40/1.25 % (3535815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/1.25 % (3535815)CaDiCaL version: 2.1.3
% 3.40/1.25 % (3535815)Termination reason: Instruction limit
% 3.40/1.25 % (3535815)Termination phase: Saturation
% 3.40/1.25 % (3535815)Time elapsed: 0.116 s
% 3.40/1.25 % (3535815)Peak memory usage: 89 MB
% 3.40/1.25 % (3535815)Instructions burned: 181 (million)
% 3.40/1.25 % (3535824)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=1099995163:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.40/1.25 % (3535824)Refutation not found, incomplete strategy
% 3.40/1.25 % (3535824)------------------------------
% 3.40/1.25 % (3535824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.40/1.25 % (3535824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/1.25 % (3535824)CaDiCaL version: 2.1.3
% 3.40/1.25 % (3535824)Termination reason: Refutation not found, incomplete strategy
% 3.40/1.25 % (3535824)Time elapsed: 0.001 s
% 3.40/1.25 % (3535824)Peak memory usage: 87 MB
% 3.40/1.25 % (3535825)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2894448696:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2998 on theBenchmark for (2998ds/189Mi)
% 3.40/1.25 % (3535826)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=480443936:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.40/1.25 % (3535825)Also succeeded, but the first one will report.
% 3.40/1.25 % (3535826)Instruction limit reached!
% 3.40/1.25 % (3535826)------------------------------
% 3.40/1.25 % (3535826)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.40/1.25 % (3535826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/1.25 % (3535826)CaDiCaL version: 2.1.3
% 3.40/1.25 % (3535826)Termination reason: Instruction limit
% 3.40/1.25 % (3535826)Termination phase: Saturation
% 3.40/1.25 % (3535826)Time elapsed: 0.067 s
% 3.40/1.25 % (3535826)Peak memory usage: 89 MB
% 3.40/1.25 % (3535826)Instructions burned: 220 (million)
% 3.40/1.25 % (3535814)Refutation found. Thanks to Tanya!
% 3.40/1.25 % SZS status Unsatisfiable for theBenchmark
% 3.40/1.25 % SZS output start Proof for theBenchmark
% See solution above
% 3.40/1.25 % (3535814)------------------------------
% 3.40/1.25 % (3535814)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.40/1.25 % (3535814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/1.25 % (3535814)CaDiCaL version: 2.1.3
% 3.40/1.25 % (3535814)Termination reason: Refutation
% 3.40/1.25 % (3535814)Time elapsed: 0.034 s
% 3.40/1.25 % (3535814)Peak memory usage: 88 MB
% 3.40/1.25 % (3535814)Instructions burned: 53 (million)
% 3.40/1.25 % (3535814)------------------------------
% 3.40/1.25 % (3535814)------------------------------
% 3.40/1.25 % (3535763)Success in time 0.42 s
% 3.40/1.25 % Vampire exiting
%------------------------------------------------------------------------------