%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI077_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 : n007.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 09:32:29 AM UTC 2026
% Result : Theorem 3.79s 1.32s
% Output : Refutation 3.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 9 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 9 ( 8 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 30 ( 0 atm; 9 fun; 13 num; 8 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 : 4 ( 0 usr; 2 con; 0-2 aty)
% Number of variables : 8 ( 6 !; 2 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1,conjecture,
? [X0: $int] : ( $sum(X0,-5) = 0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_what_n5_0) ).
tff(f2,negated_conjecture,
~ ? [X0: $int] : ( $sum(X0,-5) = 0 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(definition,[],[tha_commutativity]) ).
tff(f7,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(definition,[],[tha_inverse_op_unit]) ).
tff(f15,plain,
! [X0: $int] : ( $sum(X0,-5) != 0 ),
inference(ennf_transformation,[],[f2]) ).
tff(f16,plain,
! [X0: $int] : ( $sum(X0,-5) != 0 ),
inference(cnf_transformation,[],[f15]) ).
tff(f33,plain,
! [X0: $int] : ( 0 != $sum(-5,X0) ),
inference(superposition,[],[f16,f3]) ).
tff(f72,plain,
0 != 0,
inference(superposition,[],[f33,f7]) ).
tff(f78,plain,
$false,
inference(trivial_inequality_removal,[],[f72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI077_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n007.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 20:39:56 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 3.79/1.32 % (2780998)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.79/1.32 % (2781125)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=331708591:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.79/1.32 % (2781125)Refutation not found, incomplete strategy
% 3.79/1.32 % (2781125)------------------------------
% 3.79/1.32 % (2781125)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.79/1.32 % (2781125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.79/1.32 % (2781125)CaDiCaL version: 2.1.3
% 3.79/1.32 % (2781125)Termination reason: Refutation not found, incomplete strategy
% 3.79/1.32 % (2781125)Time elapsed: 0.016 s
% 3.79/1.32 % (2781125)Peak memory usage: 112 MB
% 3.79/1.32 % (2781125)Instructions burned: 5 (million)
% 3.79/1.32 % (2781126)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2158544949:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.79/1.32 % (2781128)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3561217159:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.79/1.32 % (2781127)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1881483376:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.79/1.32 % (2781123)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2304884651:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.79/1.32 % (2781129)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1425145187:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.79/1.32 % (2781127)First to succeed.
% 3.79/1.32 % (2781127)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2780998"
% 3.79/1.32 % (2781128)Instruction limit reached!
% 3.79/1.32 % (2781128)------------------------------
% 3.79/1.32 % (2781128)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.79/1.32 % (2781128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.79/1.32 % (2781128)CaDiCaL version: 2.1.3
% 3.79/1.32 % (2781128)Termination reason: Instruction limit
% 3.79/1.32 % (2781128)Termination phase: Saturation
% 3.79/1.32 % (2781128)Time elapsed: 0.004 s
% 3.79/1.32 % (2781128)Peak memory usage: 88 MB
% 3.79/1.32 % (2781128)Instructions burned: 5 (million)
% 3.79/1.32 % (2781130)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=4106988016:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.79/1.32 % (2781123)Also succeeded, but the first one will report.
% 3.79/1.32 % (2781129)Refutation not found, incomplete strategy
% 3.79/1.32 % (2781129)------------------------------
% 3.79/1.32 % (2781129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.79/1.32 % (2781129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.79/1.32 % (2781129)CaDiCaL version: 2.1.3
% 3.79/1.32 % (2781129)Termination reason: Refutation not found, incomplete strategy
% 3.79/1.32 % (2781129)Time elapsed: 0.027 s
% 3.79/1.32 % (2781129)Peak memory usage: 111 MB
% 3.79/1.32 % (2781129)Instructions burned: 5 (million)
% 3.79/1.32 % (2781126)Also succeeded, but the first one will report.
% 3.79/1.32 % (2781130)Also succeeded, but the first one will report.
% 3.79/1.32 % (2781125)------------------------------
% 3.79/1.32 % (2781125)------------------------------
% 3.79/1.32 % (2781166)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=2882961085:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.79/1.32 % (2781166)Refutation not found, incomplete strategy
% 3.79/1.32 % (2781166)------------------------------
% 3.79/1.32 % (2781166)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.79/1.32 % (2781166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.79/1.32 % (2781166)CaDiCaL version: 2.1.3
% 3.79/1.32 % (2781166)Termination reason: Refutation not found, incomplete strategy
% 3.79/1.32 % (2781166)Time elapsed: 0.001 s
% 3.79/1.32 % (2781166)Peak memory usage: 88 MB
% 3.79/1.32 % (2781220)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=1769701522:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2996 on theBenchmark for (2996ds/29Mi)
% 3.79/1.32 % (2781127)Refutation found. Thanks to Tanya!
% 3.79/1.32 % SZS status Theorem for theBenchmark
% 3.79/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 3.79/1.32 % (2781127)------------------------------
% 3.79/1.32 % (2781127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.79/1.32 % (2781127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.79/1.32 % (2781127)CaDiCaL version: 2.1.3
% 3.79/1.32 % (2781127)Termination reason: Refutation
% 3.79/1.32 % (2781127)Time elapsed: 0.003 s
% 3.79/1.32 % (2781127)Peak memory usage: 89 MB
% 3.79/1.32 % (2781127)Instructions burned: 2 (million)
% 3.79/1.32 % (2781127)------------------------------
% 3.79/1.32 % (2781127)------------------------------
% 3.79/1.32 % (2780998)Success in time 0.447 s
% 3.79/1.32 % Vampire exiting
%------------------------------------------------------------------------------