%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL196-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 5.92s 2.01s
% Output : Refutation 5.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 28 ( 12 unt; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 45 ( 27 ~; 18 |; 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 : 46 ( 46 !; 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] :
( 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(p,or(p,q))),or(p,q))),
file('/export/starexec/sandbox2/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(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] :
( ~ axiom(or(not(or(p,or(p,q))),X0))
| ~ theorem(or(not(X0),or(p,q))) ),
inference(resolution,[],[f8,f9]) ).
fof(f24,plain,
~ theorem(or(not(or(or(p,q),p)),or(p,q))),
inference(resolution,[],[f19,f3]) ).
fof(f31,plain,
! [X0,X1] :
( ~ theorem(or(X0,or(or(X0,X1),X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f14,f11]) ).
fof(f42,plain,
! [X0] :
( ~ axiom(or(not(or(or(p,q),p)),X0))
| ~ theorem(or(not(X0),or(p,q))) ),
inference(resolution,[],[f24,f8]) ).
fof(f65,plain,
! [X0,X1] :
( ~ theorem(or(or(X0,X1),X1))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f31,f13]) ).
fof(f113,plain,
! [X0] : ~ theorem(or(not(or(X0,or(or(p,q),p))),or(p,q))),
inference(resolution,[],[f42,f2]) ).
fof(f119,plain,
! [X0,X1] :
( ~ theorem(or(X1,or(X0,X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f65,f12]) ).
fof(f170,plain,
! [X0,X1] :
( ~ axiom(or(not(or(X0,or(or(p,q),p))),X1))
| ~ theorem(or(not(X1),or(p,q))) ),
inference(resolution,[],[f113,f8]) ).
fof(f249,plain,
! [X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f119,f14]) ).
fof(f408,plain,
! [X0] : ~ theorem(or(not(or(or(p,q),or(X0,p))),or(p,q))),
inference(resolution,[],[f170,f4]) ).
fof(f493,plain,
! [X0,X1] :
( theorem(or(not(or(X0,X1)),X0))
| ~ theorem(or(not(X1),X0)) ),
inference(resolution,[],[f249,f16]) ).
fof(f1500,plain,
! [X0] : ~ theorem(or(not(or(X0,p)),or(p,q))),
inference(resolution,[],[f493,f408]) ).
fof(f2702,plain,
! [X0] : ~ axiom(or(not(or(X0,p)),or(p,q))),
inference(resolution,[],[f1500,f6]) ).
fof(f2791,plain,
$false,
inference(resolution,[],[f2702,f3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL196-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.43 % Computer : n018.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Sun Sep 27 15:28:24 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.49 Running first-order theorem proving
% 0.21/0.49 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
% 5.92/2.01 % (2511853)Input is clausal, will run a generic CNF schedule.
% 5.92/2.01 % (2511871)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=105924581:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.92/2.01 % (2511876)dis-21_1_sil=8000:lcm=predicate:random_seed=1421547201: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)
% 5.92/2.01 % (2511876)Instruction limit reached!
% 5.92/2.01 % (2511876)------------------------------
% 5.92/2.01 % (2511876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.92/2.01 % (2511876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.92/2.01 % (2511876)CaDiCaL version: 2.1.3
% 5.92/2.01 % (2511876)Termination reason: Instruction limit
% 5.92/2.01 % (2511876)Termination phase: Saturation
% 5.92/2.01 % (2511876)Time elapsed: 0.061 s
% 5.92/2.01 % (2511876)Peak memory usage: 88 MB
% 5.92/2.01 % (2511876)Instructions burned: 117 (million)
% 5.92/2.01 % (2511875)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=255044995:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.92/2.01 % (2511873)lrs+10_1_sil=8000:sp=occurrence:random_seed=214216638:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.92/2.01 % (2511870)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=81561708:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.92/2.01 % (2511872)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2556641706:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.92/2.01 % (2511874)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1245242592:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.92/2.01 % (2511874)First to succeed.
% 5.92/2.01 % (2511874)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2511853"
% 5.92/2.01 % (2511873)Instruction limit reached!
% 5.92/2.01 % (2511873)------------------------------
% 5.92/2.01 % (2511873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.92/2.01 % (2511873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.92/2.01 % (2511873)CaDiCaL version: 2.1.3
% 5.92/2.01 % (2511873)Termination reason: Instruction limit
% 5.92/2.01 % (2511873)Termination phase: Saturation
% 5.92/2.01 % (2511873)Time elapsed: 0.111 s
% 5.92/2.01 % (2511873)Peak memory usage: 88 MB
% 5.92/2.01 % (2511873)Instructions burned: 108 (million)
% 5.92/2.01 % (2511879)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=2158989950:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 5.92/2.01 % (2511879)Refutation not found, incomplete strategy
% 5.92/2.01 % (2511879)------------------------------
% 5.92/2.01 % (2511879)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.92/2.01 % (2511879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.92/2.01 % (2511879)CaDiCaL version: 2.1.3
% 5.92/2.01 % (2511879)Termination reason: Refutation not found, incomplete strategy
% 5.92/2.01 % (2511879)Time elapsed: 0.001 s
% 5.92/2.01 % (2511879)Peak memory usage: 87 MB
% 5.92/2.01 % (2511875)Instruction limit reached!
% 5.92/2.01 % (2511875)------------------------------
% 5.92/2.01 % (2511875)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.92/2.01 % (2511875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.92/2.01 % (2511875)CaDiCaL version: 2.1.3
% 5.92/2.01 % (2511875)Termination reason: Instruction limit
% 5.92/2.01 % (2511875)Termination phase: Saturation
% 5.92/2.01 % (2511875)Time elapsed: 0.193 s
% 5.92/2.01 % (2511875)Peak memory usage: 89 MB
% 5.92/2.01 % (2511875)Instructions burned: 182 (million)
% 5.92/2.01 % (2511885)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1150861653: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)
% 5.92/2.01 % (2511885)Also succeeded, but the first one will report.
% 5.92/2.01 % (2511888)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3455025889:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 5.92/2.01 % (2511874)Refutation found. Thanks to Tanya!
% 5.92/2.01 % SZS status Unsatisfiable for theBenchmark
% 5.92/2.01 % SZS output start Proof for theBenchmark
% See solution above
% 5.92/2.01 % (2511874)------------------------------
% 5.92/2.01 % (2511874)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.92/2.01 % (2511874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.92/2.01 % (2511874)CaDiCaL version: 2.1.3
% 5.92/2.01 % (2511874)Termination reason: Refutation
% 5.92/2.01 % (2511874)Time elapsed: 0.097 s
% 5.92/2.01 % (2511874)Peak memory usage: 88 MB
% 5.92/2.01 % (2511874)Instructions burned: 97 (million)
% 5.92/2.01 % (2511874)------------------------------
% 5.92/2.01 % (2511874)------------------------------
% 5.92/2.01 % (2511853)Success in time 0.736 s
% 5.92/2.01 % Vampire exiting
%------------------------------------------------------------------------------