%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT090+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 1.21s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 23 ( 12 unt; 0 def)
% Number of atoms : 52 ( 11 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 57 ( 28 ~; 17 |; 10 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X0,X1] :
( less(X0,X1)
=> leq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_implies_leq) ).
fof(f31,axiom,
! [X0,X1,X2] :
( wf(lt,X0,X1,X2)
<=> ( leq(X1,X0)
& leq(X0,X2)
& X0 != X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wf_lt) ).
fof(f57,axiom,
less(v0,v600),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v0_v600) ).
fof(f58,axiom,
less(v600,v1200),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v600_v1200) ).
fof(f59,axiom,
( v0 != v600
& v0 != v1200
& v600 != v1200 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distinct) ).
fof(f60,conjecture,
wf(lt,v600,v0,v1200),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',odrl613) ).
fof(f61,negated_conjecture,
~ wf(lt,v600,v0,v1200),
inference(negated_conjecture,[status(cth)],[f60]) ).
fof(f62,plain,
~ wf(lt,v600,v0,v1200),
inference(flattening,[],[f61]) ).
fof(f71,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ less(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ( wf(lt,X0,X1,X2)
| ~ leq(X1,X0)
| ~ leq(X0,X2)
| X0 = X1 )
& ( ( leq(X1,X0)
& leq(X0,X2)
& X0 != X1 )
| ~ wf(lt,X0,X1,X2) ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f75,plain,
! [X0,X1,X2] :
( ( wf(lt,X0,X1,X2)
| ~ leq(X1,X0)
| ~ leq(X0,X2)
| X0 = X1 )
& ( ( leq(X1,X0)
& leq(X0,X2)
& X0 != X1 )
| ~ wf(lt,X0,X1,X2) ) ),
inference(flattening,[],[f74]) ).
fof(f78,plain,
~ wf(lt,v600,v0,v1200),
inference(cnf_transformation,[],[f62]) ).
fof(f82,plain,
! [X2,X0,X1] :
( wf(lt,X0,X1,X2)
| ~ leq(X1,X0)
| ~ leq(X0,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f75]) ).
fof(f85,plain,
v0 != v600,
inference(cnf_transformation,[],[f59]) ).
fof(f86,plain,
less(v0,v600),
inference(cnf_transformation,[],[f57]) ).
fof(f87,plain,
less(v600,v1200),
inference(cnf_transformation,[],[f58]) ).
fof(f92,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f135,plain,
( ~ leq(v0,v600)
| ~ leq(v600,v1200)
| v0 = v600 ),
inference(resolution,[],[f82,f78]) ).
fof(f139,plain,
( ~ leq(v600,v1200)
| ~ leq(v0,v600) ),
inference(forward_subsumption_resolution,[],[f135,f85]) ).
fof(f141,plain,
( ~ leq(v0,v600)
| ~ less(v600,v1200) ),
inference(resolution,[],[f139,f92]) ).
fof(f142,plain,
~ leq(v0,v600),
inference(forward_subsumption_resolution,[],[f141,f87]) ).
fof(f144,plain,
~ less(v0,v600),
inference(resolution,[],[f142,f92]) ).
fof(f145,plain,
$false,
inference(forward_subsumption_resolution,[],[f144,f86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT090+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n009.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 17:36:16 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 0.17/1.21 % (2273996)Detected formulas, will run a generic FOF schedule.
% 0.17/1.21 % (2274004)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2838971271:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.17/1.21 % (2274005)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1298924612:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.17/1.21 % (2274006)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2902609401:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.17/1.21 % (2274007)dis-21_1_sil=8000:lcm=predicate:random_seed=1600001232: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)
% 0.17/1.21 % (2274003)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=846760073:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.17/1.21 % (2274001)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=1515586597:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.17/1.21 % (2274002)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=3460748646:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.17/1.21 % (2274004)Refutation not found, incomplete strategy
% 0.17/1.21 % (2274004)------------------------------
% 0.17/1.21 % (2274004)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.21 % (2274004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.21 % (2274004)CaDiCaL version: 2.1.3
% 0.17/1.21 % (2274004)Termination reason: Refutation not found, incomplete strategy
% 0.17/1.21 % (2274004)Time elapsed: 0.001 s
% 0.17/1.21 % (2274004)Peak memory usage: 88 MB
% 0.17/1.21 % (2274005)First to succeed.
% 0.17/1.21 % (2274005)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2273996"
% 0.17/1.21 % (2274006)Also succeeded, but the first one will report.
% 0.17/1.21 % (2274007)Also succeeded, but the first one will report.
% 0.17/1.21 % (2274004)------------------------------
% 0.17/1.21 % (2274004)------------------------------
% 0.17/1.21 % (2274005)Refutation found. Thanks to Tanya!
% 0.17/1.21 % SZS status Theorem for theBenchmark
% 0.17/1.21 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/1.21 % (2274005)------------------------------
% 0.17/1.21 % (2274005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.21 % (2274005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.21 % (2274005)CaDiCaL version: 2.1.3
% 0.17/1.21 % (2274005)Termination reason: Refutation
% 0.17/1.21 % (2274005)Time elapsed: 0.003 s
% 0.17/1.21 % (2274005)Peak memory usage: 88 MB
% 0.17/1.21 % (2274005)Instructions burned: 2 (million)
% 0.17/1.21 % (2274005)------------------------------
% 0.17/1.21 % (2274005)------------------------------
% 0.17/1.21 % (2273996)Success in time 0.389 s
% 0.17/1.21 % Vampire exiting
%------------------------------------------------------------------------------