%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL186-1 : 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 : n002.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 11:51:28 AM UTC 2026
% Result : Unsatisfiable 3.58s 1.49s
% Output : Refutation 3.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 9 ( 5 unt; 0 def)
% Number of atoms : 14 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 9 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 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 : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f6,axiom,
! [X0] :
( theorem(X0)
| ~ axiom(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_1) ).
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(not(p)),or(not(p),q))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f18,plain,
! [X0] :
( ~ theorem(or(not(X0),or(not(p),q)))
| ~ axiom(or(not(not(p)),X0)) ),
inference(resolution,[],[f8,f9]) ).
fof(f22,plain,
! [X0] :
( ~ axiom(or(not(X0),or(not(p),q)))
| ~ axiom(or(not(not(p)),X0)) ),
inference(resolution,[],[f18,f6]) ).
fof(f23,plain,
~ axiom(or(not(not(p)),or(q,not(p)))),
inference(resolution,[],[f22,f3]) ).
fof(f32,plain,
$false,
inference(resolution,[],[f23,f2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL186-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n002.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 15:28:06 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 3.58/1.49 % (3673029)Input is clausal, will run a generic CNF schedule.
% 3.58/1.49 % (3673063)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2541045021:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.58/1.49 % (3673062)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1661786757:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.58/1.49 % (3673069)dis-21_1_sil=8000:lcm=predicate:random_seed=993585039: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)
% 3.58/1.49 % (3673065)lrs+10_1_sil=8000:sp=occurrence:random_seed=195400949:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.58/1.49 % (3673061)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=2973324146:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.58/1.49 % (3673066)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2195721308:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.58/1.49 % (3673069)First to succeed.
% 3.58/1.49 % (3673066)Also succeeded, but the first one will report.
% 3.58/1.49 % (3673069)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3673029"
% 3.58/1.49 % (3673065)Also succeeded, but the first one will report.
% 3.58/1.49 % (3673068)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1756314122:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.58/1.49 % (3673068)Also succeeded, but the first one will report.
% 3.58/1.49 % (3673069)Refutation found. Thanks to Tanya!
% 3.58/1.49 % SZS status Unsatisfiable for theBenchmark
% 3.58/1.49 % SZS output start Proof for theBenchmark
% See solution above
% 3.58/1.49 % (3673069)------------------------------
% 3.58/1.49 % (3673069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.49 % (3673069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.49 % (3673069)CaDiCaL version: 2.1.3
% 3.58/1.49 % (3673069)Termination reason: Refutation
% 3.58/1.49 % (3673069)Time elapsed: 0.002 s
% 3.58/1.49 % (3673069)Peak memory usage: 87 MB
% 3.58/1.49 % (3673069)Instructions burned: 1 (million)
% 3.58/1.49 % (3673069)------------------------------
% 3.58/1.49 % (3673069)------------------------------
% 3.58/1.49 % (3673029)Success in time 0.419 s
% 3.58/1.49 % Vampire exiting
%------------------------------------------------------------------------------