%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : MGT071+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n003.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 12:04:11 PM UTC 2026
% Result : Theorem 0.13s 0.45s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 6 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 14 ~; 5 |; 6 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 24 ( 19 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [X0,X1,X2,X3] :
( axis_conflict(X0,X1,X2,X3)
<=> ~ ? [X4] :
( in_closed(X4,X0,X1)
& in_closed(X4,X2,X3) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+2.ax',axis_conflict_def) ).
fof(f40,axiom,
axis_conflict(n0,n5,n10,n15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conflict_hyp) ).
fof(f41,conjecture,
~ ? [X0] :
( in_closed(X0,n0,n5)
& in_closed(X0,n10,n15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_false_conflict) ).
fof(f42,negated_conjecture,
~ ~ ? [X0] :
( in_closed(X0,n0,n5)
& in_closed(X0,n10,n15) ),
inference(negated_conjecture,[status(cth)],[f41]) ).
fof(f43,plain,
? [X0] :
( in_closed(X0,n0,n5)
& in_closed(X0,n10,n15) ),
inference(flattening,[],[f42]) ).
fof(f44,plain,
! [X0,X1,X2,X3] :
( axis_conflict(X0,X1,X2,X3)
=> ~ ? [X4] :
( in_closed(X4,X0,X1)
& in_closed(X4,X2,X3) ) ),
inference(unused_predicate_definition_removal,[],[f14]) ).
fof(f56,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( ~ in_closed(X4,X0,X1)
| ~ in_closed(X4,X2,X3) )
| ~ axis_conflict(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f44]) ).
fof(f86,plain,
( in_closed(sK0,n0,n5)
& in_closed(sK0,n10,n15) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f43]) ).
fof(f110,plain,
! [X2,X3,X0,X1,X4] :
( ~ axis_conflict(X0,X1,X2,X3)
| ~ in_closed(X4,X2,X3)
| ~ in_closed(X4,X0,X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f141,plain,
axis_conflict(n0,n5,n10,n15),
inference(cnf_transformation,[],[f40]) ).
fof(f142,plain,
in_closed(sK0,n10,n15),
inference(cnf_transformation,[],[f86]) ).
fof(f143,plain,
in_closed(sK0,n0,n5),
inference(cnf_transformation,[],[f86]) ).
fof(f163,plain,
! [X0] :
( ~ in_closed(X0,n10,n15)
| ~ in_closed(X0,n0,n5) ),
inference(resolution,[],[f141,f110]) ).
fof(f170,plain,
~ in_closed(sK0,n0,n5),
inference(resolution,[],[f163,f142]) ).
fof(f171,plain,
$false,
inference(forward_subsumption_resolution,[],[f170,f143]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT071+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.38 % Computer : n003.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 17:35:26 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.41 Running first-order model finding
% 0.13/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.45 % (811721)Will run a generic schedule for satisfiability detection.
% 0.13/0.45 % (811731)% WARNING: option uhcvi not known.
% 0.13/0.45 % (811733)dis+10_1_sil=32000:sp=arity:random_seed=4022001743:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.13/0.45 % (811734)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4139170274:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.13/0.45 % (811730)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3090526910_2999 on theBenchmark for (2999ds/0Mi)
% 0.13/0.45 % (811732)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3713803319:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.13/0.45 % (811731)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=703739179:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.13/0.45 % (811735)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=315835082:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.13/0.45 % Detected minimum model sizes of [3]
% 0.13/0.45 % Detected maximum model sizes of [max]
% 0.13/0.45 % TRYING [3]
% 0.13/0.45 % (811732) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-811721-811732"...
% 0.13/0.45 % (811732)...printing done.
% 0.13/0.45 % TRYING [4]
% 0.13/0.45 % (811736)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=573547038:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.13/0.45 % (811734) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-811721-811734"...
% 0.13/0.45 % (811735) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-811721-811735"...
% 0.13/0.45 % (811732)Refutation found. Thanks to Tanya!
% 0.13/0.45 % SZS status Theorem for theBenchmark
% 0.13/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.45 % (811732)------------------------------
% 0.13/0.45 % (811732)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/0.45 % (811732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/0.45 % (811732)CaDiCaL version: 2.1.3
% 0.13/0.45 % (811732)Termination reason: Refutation
% 0.13/0.45 % (811732)Time elapsed: 0.003 s
% 0.13/0.45 % (811732)Peak memory usage: 12 MB
% 0.13/0.45 % (811732)Instructions burned: 3 (million)
% 0.13/0.45 % (811721)Success in time 0.029 s
% 0.13/0.45 % Vampire exiting
%------------------------------------------------------------------------------