%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL013-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 11:50:55 AM UTC 2026
% Result : Unsatisfiable 4.20s 1.64s
% Output : Refutation 4.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 4 unt; 0 def)
% Number of atoms : 14 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 8 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,equivalent(X0,X2)),equivalent(X2,X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xgf) ).
fof(f3,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(b,equivalent(c,a)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_um) ).
fof(f4,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(equivalent(X1,equivalent(X0,X2)),equivalent(X2,X1)))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f2,f1]) ).
fof(f5,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X1,equivalent(X0,X2)))
| ~ is_a_theorem(X0)
| is_a_theorem(equivalent(X2,X1)) ),
inference(resolution,[],[f4,f1]) ).
fof(f6,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(equivalent(X2,X0),X1))
| ~ is_a_theorem(equivalent(X0,equivalent(X1,X2))) ),
inference(resolution,[],[f5,f2]) ).
fof(f8,plain,
~ is_a_theorem(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(a,b)))),
inference(resolution,[],[f6,f3]) ).
fof(f11,plain,
$false,
inference(forward_subsumption_resolution,[],[f8,f2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL013-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n008.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 15:17:55 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.43 Running first-order theorem proving
% 0.16/0.43 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
% 4.20/1.64 % (1361473)Input is clausal, will run a generic CNF schedule.
% 4.20/1.64 % (1361574)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=749121238:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.20/1.64 % (1361573)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=2355225972:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.20/1.64 % (1361575)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=220473244:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.20/1.64 % (1361577)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=379882070:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.20/1.64 % (1361576)lrs+10_1_sil=8000:sp=occurrence:random_seed=3104694725:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.20/1.64 % (1361579)dis-21_1_sil=8000:lcm=predicate:random_seed=279267321: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)
% 4.20/1.64 % (1361578)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2416555641:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.20/1.64 % (1361579)Also succeeded, but the first one will report.
% 4.20/1.64 % (1361577)First to succeed.
% 4.20/1.64 % (1361578)Also succeeded, but the first one will report.
% 4.20/1.64 % (1361576)Also succeeded, but the first one will report.
% 4.20/1.64 % (1361577)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1361473"
% 4.20/1.64 % (1361577)Refutation found. Thanks to Tanya!
% 4.20/1.64 % SZS status Unsatisfiable for theBenchmark
% 4.20/1.64 % SZS output start Proof for theBenchmark
% See solution above
% 4.20/1.64 % (1361577)------------------------------
% 4.20/1.64 % (1361577)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/1.64 % (1361577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/1.64 % (1361577)CaDiCaL version: 2.1.3
% 4.20/1.64 % (1361577)Termination reason: Refutation
% 4.20/1.64 % (1361577)Time elapsed: 0.002 s
% 4.20/1.64 % (1361577)Peak memory usage: 87 MB
% 4.20/1.64 % (1361577)------------------------------
% 4.20/1.64 % (1361577)------------------------------
% 4.20/1.64 % (1361473)Success in time 0.522 s
% 4.20/1.64 % Vampire exiting
%------------------------------------------------------------------------------