%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI075_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 09:32:28 AM UTC 2026
% Result : Theorem 3.33s 1.19s
% Output : Refutation 3.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 8 ( 7 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 35 ( 0 atm; 12 fun; 14 num; 9 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; 3 con; 0-2 aty)
% Number of variables : 9 ( 7 !; 2 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1,conjecture,
? [X0: $int] : ( $sum(X0,-5) = -3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_what_n5_n3) ).
tff(f2,negated_conjecture,
~ ? [X0: $int] : ( $sum(X0,-5) = -3 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f4,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum($sum(X0,X1),X2) = $sum(X0,$sum(X1,X2)) ),
introduced(definition,[],[tha_associativity]) ).
tff(f15,plain,
! [X0: $int] : ( $sum(X0,-5) != -3 ),
inference(ennf_transformation,[],[f2]) ).
tff(f16,plain,
! [X0: $int] : ( $sum(X0,-5) != -3 ),
inference(cnf_transformation,[],[f15]) ).
tff(f40,plain,
! [X0: $int,X1: $int] : ( -3 != $sum(X0,$sum(X1,-5)) ),
inference(superposition,[],[f16,f4]) ).
tff(f76,plain,
-3 != $sum(1,$sum(1,-5)),
inference(instantiation,[],[f40]) ).
tff(f77,plain,
$false,
inference(evaluation,[],[f76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ARI075_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n004.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 20:41:52 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.33/1.19 % (734653)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.33/1.19 % (734677)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1746737075:i=4:rtra=on_3000 on theBenchmark for (3000ds/4Mi)
% 3.33/1.19 % (734677)Instruction limit reached!
% 3.33/1.19 % (734677)------------------------------
% 3.33/1.19 % (734677)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.33/1.19 % (734677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.33/1.19 % (734677)CaDiCaL version: 2.1.3
% 3.33/1.19 % (734677)Termination reason: Instruction limit
% 3.33/1.19 % (734677)Termination phase: Saturation
% 3.33/1.19 % (734677)Time elapsed: 0.003 s
% 3.33/1.19 % (734677)Peak memory usage: 88 MB
% 3.33/1.19 % (734677)Instructions burned: 7 (million)
% 3.33/1.19 % (734674)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=294026311:i=307:kws=precedence:nm=0:rtra=on_3000 on theBenchmark for (3000ds/307Mi)
% 3.33/1.19 % (734673)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1331014798:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_3000 on theBenchmark for (3000ds/12Mi)
% 3.33/1.19 % (734676)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1159994744:s2a=on:i=7:rtra=on:inst=on_3000 on theBenchmark for (3000ds/7Mi)
% 3.33/1.19 % (734675)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1770234858:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_3000 on theBenchmark for (3000ds/201Mi)
% 3.33/1.19 % (734676)First to succeed.
% 3.33/1.19 % (734676)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-734653"
% 3.33/1.19 % (734678)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2254758163:i=46:rtra=on_3000 on theBenchmark for (3000ds/46Mi)
% 3.33/1.19 % (734673)Also succeeded, but the first one will report.
% 3.33/1.19 % (734674)Refutation not found, incomplete strategy
% 3.33/1.19 % (734674)------------------------------
% 3.33/1.19 % (734674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.33/1.19 % (734674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.33/1.19 % (734674)CaDiCaL version: 2.1.3
% 3.33/1.19 % (734674)Termination reason: Refutation not found, incomplete strategy
% 3.33/1.19 % (734674)Time elapsed: 0.026 s
% 3.33/1.19 % (734674)Peak memory usage: 111 MB
% 3.33/1.19 % (734674)Instructions burned: 5 (million)
% 3.33/1.19 % (734678)Refutation not found, incomplete strategy
% 3.33/1.19 % (734678)------------------------------
% 3.33/1.19 % (734678)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.33/1.19 % (734678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.33/1.19 % (734678)CaDiCaL version: 2.1.3
% 3.33/1.19 % (734678)Termination reason: Refutation not found, incomplete strategy
% 3.33/1.19 % (734678)Time elapsed: 0.027 s
% 3.33/1.19 % (734678)Peak memory usage: 112 MB
% 3.33/1.19 % (734678)Instructions burned: 5 (million)
% 3.33/1.19 % (734675)Also succeeded, but the first one will report.
% 3.33/1.19 % (734679)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=895164437:i=33:rtra=on_3000 on theBenchmark for (3000ds/33Mi)
% 3.33/1.19 % (734681)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=3527175414:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2999 on theBenchmark for (2999ds/14Mi)
% 3.33/1.19 % (734681)Refutation not found, incomplete strategy
% 3.33/1.19 % (734681)------------------------------
% 3.33/1.19 % (734681)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.33/1.19 % (734681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.33/1.19 % (734681)CaDiCaL version: 2.1.3
% 3.33/1.19 % (734681)Termination reason: Refutation not found, incomplete strategy
% 3.33/1.19 % (734681)Time elapsed: 0.0000 s
% 3.33/1.19 % (734681)Peak memory usage: 88 MB
% 3.33/1.19 % (734679)Also succeeded, but the first one will report.
% 3.33/1.19 % (734681)------------------------------
% 3.33/1.19 % (734681)------------------------------
% 3.33/1.19 % (734676)Refutation found. Thanks to Tanya!
% 3.33/1.19 % SZS status Theorem for theBenchmark
% 3.33/1.19 % SZS output start Proof for theBenchmark
% See solution above
% 3.33/1.19 % (734676)------------------------------
% 3.33/1.19 % (734676)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.33/1.19 % (734676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.33/1.19 % (734676)CaDiCaL version: 2.1.3
% 3.33/1.19 % (734676)Termination reason: Refutation
% 3.33/1.19 % (734676)Time elapsed: 0.003 s
% 3.33/1.19 % (734676)Peak memory usage: 89 MB
% 3.33/1.19 % (734676)Instructions burned: 2 (million)
% 3.33/1.19 % (734676)------------------------------
% 3.33/1.19 % (734676)------------------------------
% 3.33/1.19 % (734653)Success in time 0.389 s
% 3.33/1.19 % Vampire exiting
%------------------------------------------------------------------------------