%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM867_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 12:25:58 PM UTC 2026
% Result : Theorem 0.10s 0.44s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 6 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 6 ( 5 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 13 ( 0 atm; 5 fun; 5 num; 3 var)
% Number of types : 1 ( 0 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 1 usr; 2 con; 0-2 aty)
% Number of variables : 3 ( 2 !; 1 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_4,type,
sK0: $int ).
tff(f1,conjecture,
! [X0: $int] : ( $sum(0,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_sum_0_identity_rev) ).
tff(f2,negated_conjecture,
~ ! [X0: $int] : ( $sum(0,X0) = X0 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f15,plain,
? [X0: $int] : ( $sum(0,X0) != X0 ),
inference(ennf_transformation,[],[f2]) ).
tff(f16,plain,
sK0 != $sum(0,sK0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f15]) ).
tff(f17,plain,
sK0 != $sum(0,sK0),
inference(cnf_transformation,[],[f16]) ).
tff(f18,plain,
$false,
inference(evaluation,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM867_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n026.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 21:39:45 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 0.10/0.44 % (3225791)Will run a generic schedule for satisfiability detection.
% 0.10/0.44 % (3225799)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1200597512_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.44 % (3225799)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.10/0.44 % (3225799)Terminated due to inappropriate strategy.
% 0.10/0.44 % (3225799)------------------------------
% 0.10/0.44 % (3225799)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.44 % (3225799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.44 % (3225799)CaDiCaL version: 2.1.3
% 0.10/0.44 % (3225799)Termination reason: Inappropriate
% 0.10/0.44 % (3225799)Time elapsed: 0.0000 s
% 0.10/0.44 % (3225799)Peak memory usage: 10 MB
% 0.10/0.44 % (3225799)------------------------------
% 0.10/0.44 % (3225799)------------------------------
% 0.10/0.44 % (3225800)% WARNING: option uhcvi not known.
% 0.10/0.44 % (3225802)dis+10_1_sil=32000:sp=arity:random_seed=2335791237:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.44 % (3225803)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2278699135:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.44 % (3225804)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2662814753:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.44 % (3225802) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3225791-3225802"...
% 0.10/0.44 % (3225803) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3225791-3225803"...
% 0.10/0.44 % (3225804) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3225791-3225804"...
% 0.10/0.44 % (3225805)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3685193024:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.44 % (3225800)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1251866667:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.44 % (3225803)...printing done.
% 0.10/0.44 % (3225802)...printing done.
% 0.10/0.44 % (3225805) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3225791-3225805"...
% 0.10/0.44 % (3225804)...printing done.
% 0.10/0.44 % (3225800) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3225791-3225800"...
% 0.10/0.44 % (3225802)Refutation found. Thanks to Tanya!
% 0.10/0.44 % SZS status Theorem for theBenchmark
% 0.10/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.44 % (3225802)------------------------------
% 0.10/0.44 % (3225802)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.44 % (3225802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.44 % (3225802)CaDiCaL version: 2.1.3
% 0.10/0.44 % (3225802)Termination reason: Refutation
% 0.10/0.44 % (3225802)Time elapsed: 0.001 s
% 0.10/0.44 % (3225802)Peak memory usage: 11 MB
% 0.10/0.44 % (3225791)Success in time 0.033 s
% 0.10/0.44 % Vampire exiting
%------------------------------------------------------------------------------