%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL178-1 : 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 : n004.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 11:51:26 AM UTC 2026
% Result : Unsatisfiable 4.50s 1.62s
% Output : Refutation 4.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 13 ( 8 unt; 0 def)
% Number of atoms : 20 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 12 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 15 ( 15 !; 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(f6,axiom,
! [X0] :
( ~ axiom(X0)
| theorem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_1) ).
fof(f7,axiom,
! [X0,X1] :
( theorem(X0)
| ~ axiom(or(not(X1),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(p),not(not(p)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f10,plain,
! [X0] : theorem(or(not(or(X0,X0)),X0)),
inference(resolution,[],[f1,f6]) ).
fof(f13,plain,
! [X0] :
( ~ axiom(or(not(X0),or(not(p),not(not(p)))))
| ~ theorem(X0) ),
inference(resolution,[],[f7,f9]) ).
fof(f14,plain,
~ theorem(or(not(not(p)),not(p))),
inference(resolution,[],[f13,f3]) ).
fof(f22,plain,
! [X0] :
( ~ axiom(or(not(not(p)),X0))
| ~ theorem(or(not(X0),not(p))) ),
inference(resolution,[],[f8,f14]) ).
fof(f35,plain,
! [X0] : ~ theorem(or(not(or(X0,not(p))),not(p))),
inference(resolution,[],[f22,f2]) ).
fof(f41,plain,
$false,
inference(resolution,[],[f35,f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL178-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 % Computer : n004.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Sun Sep 27 15:24:52 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.43 Running first-order theorem proving
% 0.10/0.43 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
% 4.50/1.62 % (3664103)Input is clausal, will run a generic CNF schedule.
% 4.50/1.62 % (3664170)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2963731713:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.50/1.62 % (3664169)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=703274974:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.50/1.62 % (3664168)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=1201284286:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.50/1.62 % (3664179)dis-21_1_sil=8000:lcm=predicate:random_seed=3490070163: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)
% 4.50/1.62 % (3664174)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3313262608:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.50/1.62 % (3664172)lrs+10_1_sil=8000:sp=occurrence:random_seed=1814435018:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.50/1.62 % (3664173)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1828340766:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.50/1.62 % (3664174)First to succeed.
% 4.50/1.62 % (3664172)Also succeeded, but the first one will report.
% 4.50/1.62 % (3664174)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3664103"
% 4.50/1.62 % (3664173)Also succeeded, but the first one will report.
% 4.50/1.62 % (3664179)Also succeeded, but the first one will report.
% 4.50/1.62 % (3664174)Refutation found. Thanks to Tanya!
% 4.50/1.62 % SZS status Unsatisfiable for theBenchmark
% 4.50/1.62 % SZS output start Proof for theBenchmark
% See solution above
% 4.50/1.62 % (3664174)------------------------------
% 4.50/1.62 % (3664174)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.50/1.62 % (3664174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.50/1.62 % (3664174)CaDiCaL version: 2.1.3
% 4.50/1.62 % (3664174)Termination reason: Refutation
% 4.50/1.62 % (3664174)Time elapsed: 0.004 s
% 4.50/1.62 % (3664174)Peak memory usage: 88 MB
% 4.50/1.62 % (3664174)Instructions burned: 2 (million)
% 4.50/1.62 % (3664174)------------------------------
% 4.50/1.62 % (3664174)------------------------------
% 4.50/1.62 % (3664103)Success in time 0.548 s
% 4.50/1.62 % Vampire exiting
%------------------------------------------------------------------------------