%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT089+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 12:02:22 PM UTC 2026
% Result : Theorem 0.17s 1.20s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 7 unt; 0 def)
% Number of atoms : 32 ( 6 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 32 ( 14 ~; 11 |; 5 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> ( less(X0,X1)
| X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_def) ).
fof(f35,axiom,
! [X0,X1] :
( prec(X0,X1,o,o)
<=> leq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prec_oo) ).
fof(f48,conjecture,
prec(v5,v5,o,o),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',odrl604) ).
fof(f49,negated_conjecture,
~ prec(v5,v5,o,o),
inference(negated_conjecture,[status(cth)],[f48]) ).
fof(f50,plain,
~ prec(v5,v5,o,o),
inference(flattening,[],[f49]) ).
fof(f62,plain,
! [X0,X1] :
( ( prec(X0,X1,o,o)
| ~ leq(X0,X1) )
& ( leq(X0,X1)
| ~ prec(X0,X1,o,o) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f66,plain,
! [X0,X1] :
( ( leq(X0,X1)
| ( ~ less(X0,X1)
& X0 != X1 ) )
& ( less(X0,X1)
| X0 = X1
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f67,plain,
! [X0,X1] :
( ( leq(X0,X1)
| ( ~ less(X0,X1)
& X0 != X1 ) )
& ( less(X0,X1)
| X0 = X1
| ~ leq(X0,X1) ) ),
inference(flattening,[],[f66]) ).
fof(f68,plain,
~ prec(v5,v5,o,o),
inference(cnf_transformation,[],[f50]) ).
fof(f71,plain,
! [X0,X1] :
( prec(X0,X1,o,o)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f84,plain,
! [X0,X1] :
( leq(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f67]) ).
fof(f89,plain,
! [X1] : leq(X1,X1),
inference(equality_resolution,[],[f84]) ).
fof(f90,plain,
~ leq(v5,v5),
inference(resolution,[],[f71,f68]) ).
fof(f92,plain,
$false,
inference(forward_subsumption_resolution,[],[f90,f89]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT089+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n005.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
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 17:36:03 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
% 0.17/1.20 % (45448)Detected formulas, will run a generic FOF schedule.
% 0.17/1.20 % (45456)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3733888253:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.17/1.20 % (45459)dis-21_1_sil=8000:lcm=predicate:random_seed=3271860167: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)
% 0.17/1.20 % (45457)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2733073802:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.17/1.20 % (45458)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=898067240:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.17/1.20 % (45453)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=1710964281:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.17/1.20 % (45454)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=1342202913:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.17/1.20 % (45455)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=848874235:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.17/1.20 % (45456)Refutation not found, incomplete strategy
% 0.17/1.20 % (45456)------------------------------
% 0.17/1.20 % (45456)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.20 % (45456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.20 % (45456)CaDiCaL version: 2.1.3
% 0.17/1.20 % (45456)Termination reason: Refutation not found, incomplete strategy
% 0.17/1.20 % (45456)Time elapsed: 0.001 s
% 0.17/1.20 % (45456)Peak memory usage: 87 MB
% 0.17/1.20 % (45457)First to succeed.
% 0.17/1.20 % (45457)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-45448"
% 0.17/1.20 % (45459)Also succeeded, but the first one will report.
% 0.17/1.20 % (45458)Also succeeded, but the first one will report.
% 0.17/1.20 % (45456)------------------------------
% 0.17/1.20 % (45456)------------------------------
% 0.17/1.20 % (45457)Refutation found. Thanks to Tanya!
% 0.17/1.20 % SZS status Theorem for theBenchmark
% 0.17/1.20 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/1.20 % (45457)------------------------------
% 0.17/1.20 % (45457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.20 % (45457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.20 % (45457)CaDiCaL version: 2.1.3
% 0.17/1.20 % (45457)Termination reason: Refutation
% 0.17/1.20 % (45457)Time elapsed: 0.002 s
% 0.17/1.20 % (45457)Peak memory usage: 88 MB
% 0.17/1.20 % (45457)Instructions burned: 1 (million)
% 0.17/1.20 % (45457)------------------------------
% 0.17/1.20 % (45457)------------------------------
% 0.17/1.20 % (45448)Success in time 0.392 s
% 0.17/1.20 % Vampire exiting
%------------------------------------------------------------------------------