%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT104+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 12:02:23 PM UTC 2026
% Result : Unsatisfiable 3.46s 1.45s
% Output : Refutation 3.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 2
% Syntax : Number of formulae : 5 ( 5 unt; 0 def)
% Number of atoms : 5 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 2 ( 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : ~ less(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',irreflexive) ).
fof(f58,axiom,
less(v0,v0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',contradiction) ).
fof(f103,plain,
less(v0,v0),
inference(cnf_transformation,[],[f58]) ).
fof(f112,plain,
! [X0] : ~ less(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f239,plain,
$false,
inference(resolution,[],[f112,f103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT104+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n011.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
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 17:38:58 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 3.46/1.45 % (2645376)Detected formulas, will run a generic FOF schedule.
% 3.46/1.45 % (2645385)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2623320406:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.46/1.45 % (2645385)Refutation not found, incomplete strategy
% 3.46/1.45 % (2645385)------------------------------
% 3.46/1.45 % (2645385)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.46/1.45 % (2645385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/1.45 % (2645385)CaDiCaL version: 2.1.3
% 3.46/1.45 % (2645385)Termination reason: Refutation not found, incomplete strategy
% 3.46/1.45 % (2645385)Time elapsed: 0.0000 s
% 3.46/1.45 % (2645385)Peak memory usage: 86 MB
% 3.46/1.45 % (2645381)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=1412476715:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.46/1.45 % (2645382)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=39180170:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.46/1.45 % (2645384)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=442812785:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.46/1.45 % (2645383)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=264557601:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.46/1.45 % (2645387)dis-21_1_sil=8000:lcm=predicate:random_seed=1246655282:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.46/1.45 % (2645384)Refutation not found, incomplete strategy
% 3.46/1.45 % (2645384)------------------------------
% 3.46/1.45 % (2645384)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.46/1.45 % (2645384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/1.45 % (2645384)CaDiCaL version: 2.1.3
% 3.46/1.45 % (2645384)Termination reason: Refutation not found, incomplete strategy
% 3.46/1.45 % (2645384)Time elapsed: 0.0000 s
% 3.46/1.45 % (2645384)Peak memory usage: 86 MB
% 3.46/1.45 % (2645386)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2474188389:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.46/1.45 % (2645387)First to succeed.
% 3.46/1.45 % (2645387)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2645376"
% 3.46/1.45 % (2645386)Also succeeded, but the first one will report.
% 3.46/1.45 % (2645385)------------------------------
% 3.46/1.45 % (2645385)------------------------------
% 3.46/1.45 % (2645395)lrs+10_1_sil=8000:sp=occurrence:random_seed=1654050671:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.46/1.45 % (2645395)Refutation not found, incomplete strategy
% 3.46/1.45 % (2645395)------------------------------
% 3.46/1.45 % (2645395)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.46/1.45 % (2645395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/1.45 % (2645395)CaDiCaL version: 2.1.3
% 3.46/1.45 % (2645395)Termination reason: Refutation not found, incomplete strategy
% 3.46/1.45 % (2645395)Time elapsed: 0.0000 s
% 3.46/1.45 % (2645395)Peak memory usage: 86 MB
% 3.46/1.45 % (2645384)------------------------------
% 3.46/1.45 % (2645384)------------------------------
% 3.46/1.45 % (2645387)Refutation found. Thanks to Tanya!
% 3.46/1.45 % SZS status Unsatisfiable for theBenchmark
% 3.46/1.45 % SZS output start Proof for theBenchmark
% See solution above
% 3.46/1.45 % (2645387)------------------------------
% 3.46/1.45 % (2645387)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.46/1.45 % (2645387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/1.45 % (2645387)CaDiCaL version: 2.1.3
% 3.46/1.45 % (2645387)Termination reason: Refutation
% 3.46/1.45 % (2645387)Time elapsed: 0.002 s
% 3.46/1.45 % (2645387)Peak memory usage: 88 MB
% 3.46/1.45 % (2645387)Instructions burned: 2 (million)
% 3.46/1.45 % (2645387)------------------------------
% 3.46/1.45 % (2645387)------------------------------
% 3.46/1.45 % (2645376)Success in time 0.403 s
% 3.46/1.45 % Vampire exiting
%------------------------------------------------------------------------------