%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI083_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 : n005.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 2.77s 1.11s
% Output : Refutation 2.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 8 ( 2 unt; 0 typ; 0 def)
% Number of atoms : 32 ( 31 equ)
% Maximal formula atoms : 5 ( 4 avg)
% Number of connectives : 30 ( 6 ~; 0 |; 21 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 10 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 68 ( 0 atm; 24 fun; 0 num; 44 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 : 1 ( 0 usr; 0 con; 2-2 aty)
% Number of variables : 44 ( 23 !; 21 ?; 44 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1,conjecture,
? [X3: $int,X0: $int,X5: $int,X2: $int,X1: $int,X4: $int,X6: $int] :
( ( ( $sum(X0,X5) = X6 )
& ( $sum(X3,X2) = X4 )
& ( $sum(X1,X2) = X5 )
& ( $sum(X0,X1) = X3 ) )
=> ( X4 = X6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associative_sum_exists) ).
tff(f2,negated_conjecture,
~ ? [X3: $int,X0: $int,X5: $int,X2: $int,X1: $int,X4: $int,X6: $int] :
( ( ( $sum(X0,X5) = X6 )
& ( $sum(X3,X2) = X4 )
& ( $sum(X1,X2) = X5 )
& ( $sum(X0,X1) = X3 ) )
=> ( X4 = X6 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f15,plain,
~ ? [X4: $int,X3: $int,X6: $int,X5: $int,X0: $int,X2: $int,X1: $int] :
( ( ( $sum(X1,X4) = X0 )
& ( $sum(X4,X3) = X2 )
& ( $sum(X0,X3) = X5 )
& ( $sum(X1,X2) = X6 ) )
=> ( X5 = X6 ) ),
inference(rectify,[],[f2]) ).
tff(f16,plain,
! [X4: $int,X3: $int,X6: $int,X5: $int,X0: $int,X2: $int,X1: $int] :
( ( X5 != X6 )
& ( $sum(X1,X4) = X0 )
& ( $sum(X4,X3) = X2 )
& ( $sum(X0,X3) = X5 )
& ( $sum(X1,X2) = X6 ) ),
inference(ennf_transformation,[],[f15]) ).
tff(f17,plain,
! [X5: $int,X6: $int,X0: $int,X4: $int,X2: $int,X1: $int,X3: $int] :
( ( $sum(X1,X4) = X0 )
& ( $sum(X0,X3) = X5 )
& ( $sum(X4,X3) = X2 )
& ( $sum(X1,X2) = X6 )
& ( X5 != X6 ) ),
inference(flattening,[],[f16]) ).
tff(f18,plain,
! [X0: $int,X1: $int,X2: $int,X3: $int,X4: $int,X5: $int,X6: $int] :
( ( $sum(X5,X3) = X2 )
& ( $sum(X2,X6) = X0 )
& ( $sum(X3,X6) = X4 )
& ( $sum(X5,X4) = X1 )
& ( X0 != X1 ) ),
inference(rectify,[],[f17]) ).
tff(f19,plain,
! [X0: $int,X1: $int] : ( X0 != X1 ),
inference(cnf_transformation,[],[f18]) ).
tff(f24,plain,
$false,
inference(equality_resolution,[],[f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI083_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n005.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 20:42:16 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running first-order theorem proving
% 0.08/0.24 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
% 2.77/1.11 % (1133254)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 2.77/1.11 % (1133348)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3848140958:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 2.77/1.11 % (1133348)First to succeed.
% 2.77/1.11 % (1133348)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1133254"
% 2.77/1.11 % (1133350)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1770738108:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 2.77/1.11 % (1133353)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1633405589:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 2.77/1.11 % (1133351)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2700157854:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 2.77/1.11 % (1133349)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3315751384:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 2.77/1.11 % (1133354)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2322882415:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 2.77/1.11 % (1133351)Also succeeded, but the first one will report.
% 2.77/1.11 % (1133349)Also succeeded, but the first one will report.
% 2.77/1.11 % (1133353)Also succeeded, but the first one will report.
% 2.77/1.11 % (1133350)Also succeeded, but the first one will report.
% 2.77/1.11 % (1133354)Also succeeded, but the first one will report.
% 2.77/1.11 % (1133352)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=513530358:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 2.77/1.11 % (1133352)Also succeeded, but the first one will report.
% 2.77/1.11 % (1133348)Refutation found. Thanks to Tanya!
% 2.77/1.11 % SZS status Theorem for theBenchmark
% 2.77/1.11 % SZS output start Proof for theBenchmark
% See solution above
% 2.77/1.11 % (1133348)------------------------------
% 2.77/1.11 % (1133348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.77/1.11 % (1133348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/1.11 % (1133348)CaDiCaL version: 2.1.3
% 2.77/1.11 % (1133348)Termination reason: Refutation
% 2.77/1.11 % (1133348)Time elapsed: 0.017 s
% 2.77/1.11 % (1133348)Peak memory usage: 112 MB
% 2.77/1.11 % (1133348)Instructions burned: 5 (million)
% 2.77/1.11 % (1133348)------------------------------
% 2.77/1.11 % (1133348)------------------------------
% 2.77/1.11 % (1133254)Success in time 0.317 s
% 2.77/1.11 % Vampire exiting
%------------------------------------------------------------------------------