%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM341+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 12:18:22 PM UTC 2026
% Result : Theorem 0.17s 0.46s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 4 unt; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 22 ( 9 ~; 6 |; 3 &)
% ( 3 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 36 ( 30 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f296,axiom,
! [X0,X1,X2] :
( sum(X1,X2,X0)
<=> difference(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax',minus_entry_point) ).
fof(f402,conjecture,
? [X0,X1,X2] :
( sum(X0,X1,X2)
<=> ( difference(X2,X1,X0)
& difference(X2,X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_same_as_subtract) ).
fof(f403,negated_conjecture,
~ ? [X0,X1,X2] :
( sum(X0,X1,X2)
<=> ( difference(X2,X1,X0)
& difference(X2,X0,X1) ) ),
inference(negated_conjecture,[status(cth)],[f402]) ).
fof(f450,plain,
! [X0,X1,X2] :
( sum(X0,X1,X2)
<~> ( difference(X2,X1,X0)
& difference(X2,X0,X1) ) ),
inference(ennf_transformation,[],[f403]) ).
fof(f748,plain,
! [X2,X0,X1] :
( ~ difference(X0,X1,X2)
| sum(X1,X2,X0) ),
inference(cnf_transformation,[],[f296]) ).
fof(f749,plain,
! [X2,X0,X1] :
( difference(X0,X1,X2)
| ~ sum(X1,X2,X0) ),
inference(cnf_transformation,[],[f296]) ).
fof(f855,plain,
! [X2,X0,X1] :
( ~ difference(X2,X0,X1)
| ~ difference(X2,X1,X0)
| ~ sum(X0,X1,X2) ),
inference(cnf_transformation,[],[f450]) ).
fof(f856,plain,
! [X2,X0,X1] :
( difference(X2,X0,X1)
| sum(X0,X1,X2) ),
inference(cnf_transformation,[],[f450]) ).
fof(f859,plain,
! [X2,X0,X1] : sum(X1,X2,X0),
inference(forward_subsumption_resolution,[],[f748,f856]) ).
fof(f860,plain,
! [X2,X0,X1] : difference(X0,X1,X2),
inference(forward_subsumption_resolution,[],[f749,f856]) ).
fof(f866,plain,
! [X2,X0,X1] :
( ~ difference(X0,X2,X1)
| ~ sum(X2,X1,X0) ),
inference(resolution,[],[f855,f860]) ).
fof(f867,plain,
! [X2,X0,X1] : ~ sum(X2,X1,X0),
inference(forward_subsumption_resolution,[],[f866,f860]) ).
fof(f869,plain,
$false,
inference(forward_subsumption_resolution,[],[f867,f859]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM341+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 19:35:45 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 0.17/0.46 % (2352256)Will run a generic schedule for satisfiability detection.
% 0.17/0.46 % (2352265)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1196403216:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.46 % (2352262)% WARNING: option uhcvi not known.
% 0.17/0.46 % (2352265) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2352256-2352265"...
% 0.17/0.46 % (2352262)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1159075451:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.46 % (2352265)...printing done.
% 0.17/0.46 % (2352261)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2431473304_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.46 % (2352263)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1688205146:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.46 % (2352264)dis+10_1_sil=32000:sp=arity:random_seed=3053025100:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.46 % (2352265)Refutation found. Thanks to Tanya!
% 0.17/0.46 % SZS status Theorem for theBenchmark
% 0.17/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.46 % (2352265)------------------------------
% 0.17/0.46 % (2352265)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.46 % (2352265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.46 % (2352265)CaDiCaL version: 2.1.3
% 0.17/0.46 % (2352265)Termination reason: Refutation
% 0.17/0.46 % (2352265)Time elapsed: 0.006 s
% 0.17/0.46 % (2352265)Peak memory usage: 12 MB
% 0.17/0.46 % (2352265)Instructions burned: 20 (million)
% 0.17/0.46 % (2352256)Success in time 0.041 s
% 0.17/0.46 % Vampire exiting
%------------------------------------------------------------------------------