%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL216-1 : 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 : n019.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 11:51:36 AM UTC 2026
% Result : Unsatisfiable 0.30s 2.13s
% Output : Refutation 0.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 18 ( 9 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 21 ~; 13 |; 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 : 27 ( 27 !; 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(p,q)),or(not(or(p,not(q))),p))),
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(f32,plain,
~ theorem(or(not(or(p,not(q))),or(not(or(p,q)),p))),
inference(resolution,[],[f14,f9]) ).
fof(f44,plain,
! [X0] :
( ~ theorem(or(not(X0),or(not(or(p,q)),p)))
| ~ axiom(or(not(or(p,not(q))),X0)) ),
inference(resolution,[],[f32,f8]) ).
fof(f103,plain,
! [X0,X1] :
( ~ theorem(or(not(X1),or(not(or(p,q)),p)))
| ~ axiom(or(not(X0),X1))
| ~ axiom(or(not(or(p,not(q))),X0)) ),
inference(resolution,[],[f44,f8]) ).
fof(f233,plain,
! [X0,X1] :
( ~ axiom(or(not(X0),or(not(or(p,q)),X1)))
| ~ axiom(or(not(or(p,not(q))),X0))
| ~ theorem(or(not(X1),p)) ),
inference(resolution,[],[f103,f16]) ).
fof(f550,plain,
! [X0] :
( ~ axiom(or(not(or(p,not(q))),or(not(q),X0)))
| ~ theorem(or(not(or(p,X0)),p)) ),
inference(resolution,[],[f233,f5]) ).
fof(f1368,plain,
~ theorem(or(not(or(p,p)),p)),
inference(resolution,[],[f550,f3]) ).
fof(f1376,plain,
~ axiom(or(not(or(p,p)),p)),
inference(resolution,[],[f1368,f6]) ).
fof(f1377,plain,
$false,
inference(forward_subsumption_resolution,[],[f1376,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL216-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.49 % Computer : n019.cluster.edu
% 0.21/0.49 % Model : x86_64 x86_64
% 0.21/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.49 % Memory : 8046.5625MB
% 0.21/0.49 % OS : Linux 6.8.0-71-generic
% 0.21/0.49 % CPULimit : 300
% 0.21/0.49 % WCLimit : 300
% 0.21/0.49 % DateTime : Sun Sep 27 15:27:19 UTC 2026
% 0.21/0.49 % CPUTime :
% 0.21/0.49 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.55 Running first-order theorem proving
% 0.26/0.55 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
% 0.30/2.13 % (3206130)Input is clausal, will run a generic CNF schedule.
% 0.30/2.13 % (3206137)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=136489260:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.30/2.13 % (3206136)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3768440702:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.30/2.13 % (3206135)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=3300510794:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.30/2.13 % (3206138)lrs+10_1_sil=8000:sp=occurrence:random_seed=3898905522:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.30/2.13 % (3206139)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2811683262:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.30/2.13 % (3206140)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3529146441:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.30/2.13 % (3206141)dis-21_1_sil=8000:lcm=predicate:random_seed=1273015048: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)
% 0.30/2.13 % (3206139)First to succeed.
% 0.30/2.13 % (3206139)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3206130"
% 0.30/2.13 % (3206140)Also succeeded, but the first one will report.
% 0.30/2.13 % (3206138)Instruction limit reached!
% 0.30/2.13 % (3206138)------------------------------
% 0.30/2.13 % (3206138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.30/2.13 % (3206138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/2.13 % (3206138)CaDiCaL version: 2.1.3
% 0.30/2.13 % (3206138)Termination reason: Instruction limit
% 0.30/2.13 % (3206138)Termination phase: Saturation
% 0.30/2.13 % (3206138)Time elapsed: 0.104 s
% 0.30/2.13 % (3206138)Peak memory usage: 88 MB
% 0.30/2.13 % (3206138)Instructions burned: 108 (million)
% 0.30/2.13 % (3206141)Instruction limit reached!
% 0.30/2.13 % (3206141)------------------------------
% 0.30/2.13 % (3206141)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.30/2.13 % (3206141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/2.13 % (3206141)CaDiCaL version: 2.1.3
% 0.30/2.13 % (3206141)Termination reason: Instruction limit
% 0.30/2.13 % (3206141)Termination phase: Saturation
% 0.30/2.13 % (3206141)Time elapsed: 0.117 s
% 0.30/2.13 % (3206141)Peak memory usage: 88 MB
% 0.30/2.13 % (3206141)Instructions burned: 117 (million)
% 0.30/2.13 % (3206149)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=3165078963:i=143:sd=2:aac=none:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/143Mi)
% 0.30/2.13 % (3206149)Refutation not found, incomplete strategy
% 0.30/2.13 % (3206149)------------------------------
% 0.30/2.13 % (3206149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.30/2.13 % (3206149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/2.13 % (3206149)CaDiCaL version: 2.1.3
% 0.30/2.13 % (3206149)Termination reason: Refutation not found, incomplete strategy
% 0.30/2.13 % (3206149)Time elapsed: 0.001 s
% 0.30/2.13 % (3206149)Peak memory usage: 87 MB
% 0.30/2.13 % (3206150)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1591406207:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2995 on theBenchmark for (2995ds/189Mi)
% 0.30/2.13 % (3206150)Also succeeded, but the first one will report.
% 0.30/2.13 % (3206139)Refutation found. Thanks to Tanya!
% 0.30/2.13 % SZS status Unsatisfiable for theBenchmark
% 0.30/2.13 % SZS output start Proof for theBenchmark
% See solution above
% 0.30/2.13 % (3206139)------------------------------
% 0.30/2.13 % (3206139)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.30/2.13 % (3206139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/2.13 % (3206139)CaDiCaL version: 2.1.3
% 0.30/2.13 % (3206139)Termination reason: Refutation
% 0.30/2.13 % (3206139)Time elapsed: 0.051 s
% 0.30/2.13 % (3206139)Peak memory usage: 88 MB
% 0.30/2.13 % (3206139)Instructions burned: 50 (million)
% 0.30/2.13 % (3206139)------------------------------
% 0.30/2.13 % (3206139)------------------------------
% 0.30/2.13 % (3206130)Success in time 0.629 s
% 0.30/2.13 % Vampire exiting
%------------------------------------------------------------------------------