%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM843+2 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 12:25:53 PM UTC 2026
% Result : Theorem 0.09s 0.45s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 22 ( 12 unt; 0 def)
% Number of atoms : 36 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 12 ~; 11 |; 0 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
greater(vd390,vd391),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(244, 394, 0)') ).
fof(f2,negated_conjecture,
~ greater(vd390,vd391),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
~ leq(vd390,vd391),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct2(243), 393, 0)') ).
fof(f21,axiom,
! [X0,X1] :
( geq(X0,X1)
=> leq(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(158, 0), 0)') ).
fof(f22,axiom,
! [X0,X1] :
( leq(X1,X0)
<=> ( less(X1,X0)
| X1 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 17), 1)') ).
fof(f23,axiom,
! [X0,X1] :
( geq(X1,X0)
<=> ( greater(X1,X0)
| X1 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 16), 1)') ).
fof(f26,axiom,
! [X0,X1] :
( X0 = X1
| greater(X0,X1)
| less(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 0)') ).
fof(f48,plain,
~ greater(vd390,vd391),
inference(flattening,[],[f2]) ).
fof(f67,plain,
! [X0,X1] :
( leq(X1,X0)
| ~ geq(X0,X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f77,plain,
~ greater(vd390,vd391),
inference(cnf_transformation,[],[f48]) ).
fof(f78,plain,
~ leq(vd390,vd391),
inference(cnf_transformation,[],[f3]) ).
fof(f98,plain,
! [X0,X1] :
( leq(X1,X0)
| ~ geq(X0,X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f101,plain,
! [X0,X1] :
( leq(X1,X0)
| ~ less(X1,X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f103,plain,
! [X0,X1] :
( X0 != X1
| geq(X1,X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f107,plain,
! [X0,X1] :
( less(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f26]) ).
fof(f142,plain,
! [X1] : geq(X1,X1),
inference(equality_resolution,[],[f103]) ).
fof(f153,plain,
~ geq(vd391,vd390),
inference(resolution,[],[f98,f78]) ).
fof(f155,plain,
~ less(vd390,vd391),
inference(resolution,[],[f101,f78]) ).
fof(f278,plain,
( greater(vd390,vd391)
| vd390 = vd391 ),
inference(resolution,[],[f107,f155]) ).
fof(f279,plain,
vd390 = vd391,
inference(forward_subsumption_resolution,[],[f278,f77]) ).
fof(f283,plain,
~ geq(vd390,vd390),
inference(superposition,[],[f153,f279]) ).
fof(f289,plain,
$false,
inference(forward_subsumption_resolution,[],[f283,f142]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM843+2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37 % Computer : n001.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 21:35:31 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.39 Running first-order model finding
% 0.09/0.39 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
% 0.09/0.45 % (3975994)Will run a generic schedule for satisfiability detection.
% 0.09/0.45 % (3976003)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2421255167:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.45 % (3976000)% WARNING: option uhcvi not known.
% 0.09/0.45 % (3976003) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3975994-3976003"...
% 0.09/0.45 % (3976003)...printing done.
% 0.09/0.45 % (3976001)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1053946466:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.45 % (3975999)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1313193139_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.45 % (3976000)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3999654485:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.45 % (3976004)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=692479345:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.45 % (3976005)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1547826730:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.45 % (3976003)Refutation found. Thanks to Tanya!
% 0.09/0.45 % SZS status Theorem for theBenchmark
% 0.09/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.45 % (3976003)------------------------------
% 0.09/0.45 % (3976003)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.45 % (3976003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.45 % (3976003)CaDiCaL version: 2.1.3
% 0.09/0.45 % (3976003)Termination reason: Refutation
% 0.09/0.45 % (3976003)Time elapsed: 0.003 s
% 0.09/0.45 % (3976003)Peak memory usage: 12 MB
% 0.09/0.45 % (3976003)Instructions burned: 7 (million)
% 0.09/0.45 % (3975994)Success in time 0.042 s
% 0.09/0.45 % Vampire exiting
%------------------------------------------------------------------------------