%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL398-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 11:52:17 AM UTC 2026
% Result : Unsatisfiable 5.24s 1.99s
% Output : Refutation 5.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 12 ( 7 unt; 0 def)
% Number of atoms : 19 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 11 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_1) ).
fof(f3,axiom,
! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_2) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_3) ).
fof(f5,negated_conjecture,
~ is_a_theorem(implies(not(implies(x,x)),y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_64) ).
fof(f7,plain,
! [X0,X1] :
( is_a_theorem(implies(not(X0),X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f1,f4]) ).
fof(f8,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f2,f1]) ).
fof(f9,plain,
~ is_a_theorem(implies(x,x)),
inference(resolution,[],[f7,f5]) ).
fof(f19,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f8,f1]) ).
fof(f23,plain,
! [X0] :
( ~ is_a_theorem(implies(X0,x))
| ~ is_a_theorem(implies(x,X0)) ),
inference(resolution,[],[f19,f9]) ).
fof(f24,plain,
~ is_a_theorem(implies(x,implies(not(x),x))),
inference(resolution,[],[f23,f3]) ).
fof(f32,plain,
$false,
inference(resolution,[],[f24,f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL398-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n007.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 15:37:55 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.41 Running first-order theorem proving
% 0.14/0.41 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
% 5.24/1.99 % (1606005)Input is clausal, will run a generic CNF schedule.
% 5.24/1.99 % (1606018)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=3838747044:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.24/1.99 % (1606025)dis-21_1_sil=8000:lcm=predicate:random_seed=1540429033: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)
% 5.24/1.99 % (1606025)First to succeed.
% 5.24/1.99 % (1606025)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1606005"
% 5.24/1.99 % (1606021)lrs+10_1_sil=8000:sp=occurrence:random_seed=3296064737:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.24/1.99 % (1606023)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2155942398:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.24/1.99 % (1606019)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=273430202:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.24/1.99 % (1606022)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4022940533:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.24/1.99 % (1606020)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2556694917:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.24/1.99 % (1606022)Also succeeded, but the first one will report.
% 5.24/1.99 % (1606021)Also succeeded, but the first one will report.
% 5.24/1.99 % (1606023)Also succeeded, but the first one will report.
% 5.24/1.99 % (1606025)Refutation found. Thanks to Tanya!
% 5.24/1.99 % SZS status Unsatisfiable for theBenchmark
% 5.24/1.99 % SZS output start Proof for theBenchmark
% See solution above
% 5.24/1.99 % (1606025)------------------------------
% 5.24/1.99 % (1606025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.24/1.99 % (1606025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.24/1.99 % (1606025)CaDiCaL version: 2.1.3
% 5.24/1.99 % (1606025)Termination reason: Refutation
% 5.24/1.99 % (1606025)Time elapsed: 0.003 s
% 5.24/1.99 % (1606025)Peak memory usage: 88 MB
% 5.24/1.99 % (1606025)Instructions burned: 1 (million)
% 5.24/1.99 % (1606025)------------------------------
% 5.24/1.99 % (1606025)------------------------------
% 5.24/1.99 % (1606005)Success in time 0.613 s
% 5.24/1.99 % Vampire exiting
%------------------------------------------------------------------------------