%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM864_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 12:17:19 PM UTC 2026
% Result : Theorem 0.18s 1.30s
% Output : Refutation 0.18s
% 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 : 12 ( 0 atm; 5 fun; 3 num; 4 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 : 4 ( 2 !; 2 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_4,type,
'$inst0': $int ).
tff(f1,conjecture,
? [X0: $int] : ( $sum(X0,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_idempotent_element) ).
tff(f2,negated_conjecture,
~ ? [X0: $int] : ( $sum(X0,X0) = X0 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f15,plain,
! [X0: $int] : ( $sum(X0,X0) != X0 ),
inference(ennf_transformation,[],[f2]) ).
tff(f16,plain,
! [X0: $int] : ( $sum(X0,X0) != X0 ),
inference(cnf_transformation,[],[f15]) ).
tff(f17,plain,
0 != $sum(0,0),
inference(instantiation,[],[f16]) ).
tff(f18,plain,
$false,
inference(interpreted_simplification,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM864_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n014.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 21:35:46 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/1.30 % (1187989)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 0.18/1.30 % (1187996)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2165079055:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 0.18/1.30 % (1187996)First to succeed.
% 0.18/1.30 % (1187996)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1187989"
% 0.18/1.30 % (1187994)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=300179034:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 0.18/1.30 % (1187995)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3113240515:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 0.18/1.30 % (1187999)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3405240847:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 0.18/1.30 % (1187998)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=433135891:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 0.18/1.30 % (1187997)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1877919528:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 0.18/1.30 % (1188000)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2512701919:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 0.18/1.30 % (1187997)Also succeeded, but the first one will report.
% 0.18/1.30 % (1187998)Instruction limit reached!
% 0.18/1.30 % (1187998)------------------------------
% 0.18/1.30 % (1187998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.30 % (1187998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.30 % (1187998)CaDiCaL version: 2.1.3
% 0.18/1.30 % (1187998)Termination reason: Instruction limit
% 0.18/1.30 % (1187998)Termination phase: Saturation
% 0.18/1.30 % (1187998)Time elapsed: 0.004 s
% 0.18/1.30 % (1187998)Peak memory usage: 88 MB
% 0.18/1.30 % (1187998)Instructions burned: 6 (million)
% 0.18/1.30 % (1187995)Refutation not found, incomplete strategy
% 0.18/1.30 % (1187995)------------------------------
% 0.18/1.30 % (1187995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.30 % (1187995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.30 % (1187995)CaDiCaL version: 2.1.3
% 0.18/1.30 % (1187995)Termination reason: Refutation not found, incomplete strategy
% 0.18/1.30 % (1187995)Time elapsed: 0.027 s
% 0.18/1.30 % (1187995)Peak memory usage: 111 MB
% 0.18/1.30 % (1187995)Instructions burned: 5 (million)
% 0.18/1.30 % (1187994)Refutation not found, incomplete strategy
% 0.18/1.30 % (1187994)------------------------------
% 0.18/1.30 % (1187994)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.30 % (1187994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.30 % (1187994)CaDiCaL version: 2.1.3
% 0.18/1.30 % (1187994)Termination reason: Refutation not found, incomplete strategy
% 0.18/1.30 % (1187994)Time elapsed: 0.027 s
% 0.18/1.30 % (1187994)Peak memory usage: 112 MB
% 0.18/1.30 % (1187994)Instructions burned: 5 (million)
% 0.18/1.30 % (1187999)Refutation not found, incomplete strategy
% 0.18/1.30 % (1187999)------------------------------
% 0.18/1.30 % (1187999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.30 % (1187999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.30 % (1187999)CaDiCaL version: 2.1.3
% 0.18/1.30 % (1187999)Termination reason: Refutation not found, incomplete strategy
% 0.18/1.30 % (1187999)Time elapsed: 0.027 s
% 0.18/1.30 % (1187999)Peak memory usage: 111 MB
% 0.18/1.30 % (1187999)Instructions burned: 5 (million)
% 0.18/1.30 % (1188000)Also succeeded, but the first one will report.
% 0.18/1.30 % (1187996)Refutation found. Thanks to Tanya!
% 0.18/1.30 % SZS status Theorem for theBenchmark
% 0.18/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/1.30 % (1187996)------------------------------
% 0.18/1.30 % (1187996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.30 % (1187996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.30 % (1187996)CaDiCaL version: 2.1.3
% 0.18/1.30 % (1187996)Termination reason: Refutation
% 0.18/1.30 % (1187996)Time elapsed: 0.019 s
% 0.18/1.30 % (1187996)Peak memory usage: 116 MB
% 0.18/1.30 % (1187996)Instructions burned: 6 (million)
% 0.18/1.30 % (1187996)------------------------------
% 0.18/1.30 % (1187996)------------------------------
% 0.18/1.30 % (1187989)Success in time 0.333 s
% 0.18/1.30 % Vampire exiting
%------------------------------------------------------------------------------