%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI080_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 : n018.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 2.57s 1.07s
% Output : Refutation 2.57s
% 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 : 19 ( 18 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 22 ( 11 ~; 5 |; 6 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 39 ( 0 atm; 7 fun; 21 num; 11 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 ( 0 usr; 2 con; 0-2 aty)
% Number of variables : 11 ( 5 !; 6 ?; 11 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1,conjecture,
? [X1: $int,X0: $int] :
( ( $sum(X0,X1) = 8 )
& ( X1 = 4 )
& ( X0 = 4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_4_4_8) ).
tff(f2,negated_conjecture,
~ ? [X1: $int,X0: $int] :
( ( $sum(X0,X1) = 8 )
& ( X1 = 4 )
& ( X0 = 4 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f15,plain,
~ ? [X0: $int,X1: $int] :
( ( 4 = X0 )
& ( 4 = X1 )
& ( 8 = $sum(X1,X0) ) ),
inference(rectify,[],[f2]) ).
tff(f16,plain,
! [X0: $int,X1: $int] :
( ( 4 != X0 )
| ( 4 != X1 )
| ( 8 != $sum(X1,X0) ) ),
inference(ennf_transformation,[],[f15]) ).
tff(f17,plain,
! [X0: $int,X1: $int] :
( ( 4 != X0 )
| ( 4 != X1 )
| ( 8 != $sum(X1,X0) ) ),
inference(cnf_transformation,[],[f16]) ).
tff(f18,plain,
! [X1: $int] :
( ( 4 != X1 )
| ( 8 != $sum(X1,4) ) ),
inference(equality_resolution,[],[f17]) ).
tff(f19,plain,
8 != $sum(4,4),
inference(equality_resolution,[],[f18]) ).
tff(f20,plain,
$false,
inference(evaluation,[],[f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ARI080_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 % Computer : n018.cluster.edu
% 0.09/0.22 % Model : x86_64 x86_64
% 0.09/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.22 % Memory : 8046.5625MB
% 0.09/0.22 % OS : Linux 6.8.0-71-generic
% 0.09/0.22 % CPULimit : 300
% 0.09/0.22 % WCLimit : 300
% 0.09/0.22 % DateTime : Mon Sep 28 20:44:41 UTC 2026
% 0.09/0.22 % CPUTime :
% 0.09/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.26 Running first-order theorem proving
% 0.09/0.26 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
% 2.57/1.07 % (3742222)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 2.57/1.07 % (3742256)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=165280171:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_3000 on theBenchmark for (3000ds/12Mi)
% 2.57/1.07 % (3742256)First to succeed.
% 2.57/1.07 % (3742256)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3742222"
% 2.57/1.07 % (3742268)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=759565064:i=33:rtra=on_3000 on theBenchmark for (3000ds/33Mi)
% 2.57/1.07 % (3742262)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=275543151:s2a=on:i=7:rtra=on:inst=on_3000 on theBenchmark for (3000ds/7Mi)
% 2.57/1.07 % (3742257)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1108096178:i=307:kws=precedence:nm=0:rtra=on_3000 on theBenchmark for (3000ds/307Mi)
% 2.57/1.07 % (3742264)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1540189126:i=4:rtra=on_3000 on theBenchmark for (3000ds/4Mi)
% 2.57/1.07 % (3742259)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=100449369:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_3000 on theBenchmark for (3000ds/201Mi)
% 2.57/1.07 % (3742262)Also succeeded, but the first one will report.
% 2.57/1.07 % (3742264)Also succeeded, but the first one will report.
% 2.57/1.07 % (3742266)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1068324369:i=46:rtra=on_3000 on theBenchmark for (3000ds/46Mi)
% 2.57/1.07 % (3742259)Also succeeded, but the first one will report.
% 2.57/1.07 % (3742257)Also succeeded, but the first one will report.
% 2.57/1.07 % (3742268)Also succeeded, but the first one will report.
% 2.57/1.07 % (3742266)Also succeeded, but the first one will report.
% 2.57/1.07 % (3742256)Refutation found. Thanks to Tanya!
% 2.57/1.07 % SZS status Theorem for theBenchmark
% 2.57/1.07 % SZS output start Proof for theBenchmark
% See solution above
% 2.57/1.07 % (3742256)------------------------------
% 2.57/1.07 % (3742256)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.57/1.07 % (3742256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/1.07 % (3742256)CaDiCaL version: 2.1.3
% 2.57/1.07 % (3742256)Termination reason: Refutation
% 2.57/1.07 % (3742256)Time elapsed: 0.016 s
% 2.57/1.07 % (3742256)Peak memory usage: 112 MB
% 2.57/1.07 % (3742256)Instructions burned: 5 (million)
% 2.57/1.07 % (3742256)------------------------------
% 2.57/1.07 % (3742256)------------------------------
% 2.57/1.07 % (3742222)Success in time 0.271 s
% 2.57/1.07 % Vampire exiting
%------------------------------------------------------------------------------