%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM838+1 : 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 : 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 12:25:51 PM UTC 2026
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% 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(vplus(vd301,vd303),vplus(vd302,vd303)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conseq(195), 305, 0)') ).
fof(f2,negated_conjecture,
~ greater(vplus(vd301,vd303),vplus(vd302,vd303)),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
greater(vd301,vd302),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(antec(195), 304, 0)') ).
fof(f8,axiom,
! [X0,X1,X2] :
( greater(X1,X2)
=> greater(vplus(X1,X0),vplus(X2,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(proof(196), 0), 4)') ).
fof(f46,plain,
~ greater(vplus(vd301,vd303),vplus(vd302,vd303)),
inference(flattening,[],[f2]) ).
fof(f53,plain,
! [X0,X1,X2] :
( greater(vplus(X1,X0),vplus(X2,X0))
| ~ greater(X1,X2) ),
inference(ennf_transformation,[],[f8]) ).
fof(f75,plain,
~ greater(vplus(vd301,vd303),vplus(vd302,vd303)),
inference(cnf_transformation,[],[f46]) ).
fof(f76,plain,
greater(vd301,vd302),
inference(cnf_transformation,[],[f3]) ).
fof(f81,plain,
! [X2,X0,X1] :
( ~ greater(X1,X2)
| greater(vplus(X1,X0),vplus(X2,X0)) ),
inference(cnf_transformation,[],[f53]) ).
fof(f145,plain,
greater(vplus(vd301,vd303),vplus(vd302,vd303)),
inference(consistent_polarity_flipping,[],[f75]) ).
fof(f146,plain,
~ greater(vd301,vd302),
inference(consistent_polarity_flipping,[],[f76]) ).
fof(f150,plain,
! [X2,X0,X1] :
( ~ greater(vplus(X1,X0),vplus(X2,X0))
| greater(X1,X2) ),
inference(consistent_polarity_flipping,[],[f81]) ).
fof(f246,plain,
greater(vd301,vd302),
inference(resolution,[],[f150,f145]) ).
fof(f254,plain,
$false,
inference(forward_subsumption_resolution,[],[f246,f146]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM838+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 % Computer : n003.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 21:30:41 UTC 2026
% 0.12/0.41 % CPUTime :
% 0.12/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.45 Running first-order model finding
% 0.12/0.45 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
% 0.19/0.51 % (935852)Will run a generic schedule for satisfiability detection.
% 0.19/0.51 % (935861)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=18510136:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.51 % (935858)% WARNING: option uhcvi not known.
% 0.19/0.51 % (935857)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3767241003_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.51 % (935858)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=964686393:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.51 % (935860)dis+10_1_sil=32000:sp=arity:random_seed=2938384477:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.51 % (935862)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1183473197:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.51 % (935863)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2993839784:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.51 % (935859)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2953127643:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.51 % TRYING [1]
% 0.19/0.51 % TRYING [2]
% 0.19/0.51 % (935858) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-935852-935858"...
% 0.19/0.51 % (935860) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-935852-935860"...
% 0.19/0.51 % (935858)...printing done.
% 0.19/0.51 % TRYING [3]
% 0.19/0.51 % (935860)...printing done.
% 0.19/0.51 % (935858)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (935858)------------------------------
% 0.19/0.51 % (935858)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.51 % (935858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.51 % (935858)CaDiCaL version: 2.1.3
% 0.19/0.51 % (935858)Termination reason: Refutation
% 0.19/0.51 % (935858)Time elapsed: 0.007 s
% 0.19/0.51 % (935858)Peak memory usage: 12 MB
% 0.19/0.51 % (935858)Instructions burned: 5 (million)
% 0.19/0.51 % (935852)Success in time 0.046 s
% 0.19/0.51 % Vampire exiting
%------------------------------------------------------------------------------