%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM854+2 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 12:25:56 PM UTC 2026
% Result : Theorem 0.18s 0.49s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 10 unt; 0 def)
% Number of atoms : 18 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 7 ~; 3 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
greater(vmul(vd508,vd511),vmul(vd509,vd511)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(315), 514, 0)') ).
fof(f2,negated_conjecture,
~ greater(vmul(vd508,vd511),vmul(vd509,vd511)),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f4,axiom,
greater(vd508,vd509),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(314), 510, 0)') ).
fof(f10,axiom,
! [X0,X1,X2] :
( greater(X1,X2)
=> greater(vmul(X1,X0),vmul(X2,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(299, 0), 2)') ).
fof(f29,plain,
~ greater(vmul(vd508,vd511),vmul(vd509,vd511)),
inference(flattening,[],[f2]) ).
fof(f35,plain,
! [X0,X1,X2] :
( greater(vmul(X1,X0),vmul(X2,X0))
| ~ greater(X1,X2) ),
inference(ennf_transformation,[],[f10]) ).
fof(f48,plain,
~ greater(vmul(vd508,vd511),vmul(vd509,vd511)),
inference(cnf_transformation,[],[f29]) ).
fof(f50,plain,
greater(vd508,vd509),
inference(cnf_transformation,[],[f4]) ).
fof(f56,plain,
! [X2,X0,X1] :
( greater(vmul(X1,X0),vmul(X2,X0))
| ~ greater(X1,X2) ),
inference(cnf_transformation,[],[f35]) ).
fof(f86,plain,
greater(vmul(vd508,vd511),vmul(vd509,vd511)),
inference(consistent_polarity_flipping,[],[f48]) ).
fof(f88,plain,
~ greater(vd508,vd509),
inference(consistent_polarity_flipping,[],[f50]) ).
fof(f92,plain,
! [X2,X0,X1] :
( ~ greater(vmul(X1,X0),vmul(X2,X0))
| greater(X1,X2) ),
inference(consistent_polarity_flipping,[],[f56]) ).
fof(f673,plain,
greater(vd508,vd509),
inference(resolution,[],[f92,f86]) ).
fof(f690,plain,
$false,
inference(resolution,[],[f673,f88]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM854+2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 % Computer : n010.cluster.edu
% 0.12/0.41 % Model : x86_64 x86_64
% 0.12/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.41 % Memory : 8046.5625MB
% 0.12/0.41 % OS : Linux 6.8.0-71-generic
% 0.12/0.41 % CPULimit : 300
% 0.12/0.41 % WCLimit : 300
% 0.12/0.41 % DateTime : Sun Sep 27 21:32:18 UTC 2026
% 0.12/0.41 % CPUTime :
% 0.12/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.44 Running first-order model finding
% 0.12/0.44 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.49 % (1329169)Will run a generic schedule for satisfiability detection.
% 0.18/0.49 % (1329180)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1229399647:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.49 % (1329175)% WARNING: option uhcvi not known.
% 0.18/0.49 % (1329174)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1126979401_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.49 % (1329175)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3373887256:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.49 % (1329176)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=678523766:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.49 % (1329177)dis+10_1_sil=32000:sp=arity:random_seed=1525055170:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.49 % (1329178)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1739595090:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.49 % (1329179)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=369379617:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.49 % (1329180) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1329169-1329180"...
% 0.18/0.49 % (1329180)...printing done.
% 0.18/0.49 % (1329180)Refutation found. Thanks to Tanya!
% 0.18/0.49 % SZS status Theorem for theBenchmark
% 0.18/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.49 % (1329180)------------------------------
% 0.18/0.49 % (1329180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.49 % (1329180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.49 % (1329180)CaDiCaL version: 2.1.3
% 0.18/0.49 % (1329180)Termination reason: Refutation
% 0.18/0.49 % (1329180)Time elapsed: 0.008 s
% 0.18/0.49 % (1329180)Peak memory usage: 12 MB
% 0.18/0.49 % (1329180)Instructions burned: 19 (million)
% 0.18/0.49 % (1329169)Success in time 0.035 s
% 0.18/0.49 % Vampire exiting
%------------------------------------------------------------------------------