%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI163_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 : n015.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 09:32:36 AM UTC 2026
% Result : Theorem 3.09s 1.24s
% Output : Refutation 3.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 9 unt; 0 typ; 3 def)
% Number of atoms : 30 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 6 ~; 0 |; 8 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 67 ( 16 atm; 13 fun; 34 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 : 6 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 7 ( 1 usr; 5 con; 0-2 aty)
% Number of variables : 4 ( 2 !; 2 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_6,type,
sK0: $int ).
tff(f1,conjecture,
! [X0: $int] :
( ( $less(-1,X0)
& $less(X0,1) )
=> ( $sum(21,X0) = 21 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_something_0_samething) ).
tff(f2,negated_conjecture,
~ ! [X0: $int] :
( ( $less(-1,X0)
& $less(X0,1) )
=> ( $sum(21,X0) = 21 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f15,plain,
? [X0: $int] :
( ( 21 != $sum(21,X0) )
& $less(-1,X0)
& $less(X0,1) ),
inference(ennf_transformation,[],[f2]) ).
tff(f16,plain,
? [X0: $int] :
( $less(X0,1)
& $less(-1,X0)
& ( 21 != $sum(21,X0) ) ),
inference(flattening,[],[f15]) ).
tff(f17,plain,
( $less(sK0,1)
& $less(-1,sK0)
& ( 21 != $sum(21,sK0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f16]) ).
tff(f18,plain,
21 != $sum(21,sK0),
inference(cnf_transformation,[],[f17]) ).
tff(f19,plain,
$less(-1,sK0),
inference(cnf_transformation,[],[f17]) ).
tff(f20,plain,
$less(sK0,1),
inference(cnf_transformation,[],[f17]) ).
tff(f21,plain,
$less(0,$sum(sK0,1)),
inference(evaluation,[],[f19]) ).
tff(f22,plain,
$less(0,$sum(1,$uminus(sK0))),
inference(evaluation,[],[f20]) ).
tff(f24,definition,
( spl1_1
<=> $less(0,$sum(sK0,1)) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
tff(f27,plain,
spl1_1,
inference(avatar_split_clause,[],[f21,f24]) ).
tff(f29,definition,
( spl1_2
<=> $less(0,$sum(1,$uminus(sK0))) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
tff(f32,plain,
spl1_2,
inference(avatar_split_clause,[],[f22,f29]) ).
tff(f34,definition,
( spl1_3
<=> ( 21 = $sum(21,sK0) ) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
tff(f37,plain,
~ spl1_3,
inference(avatar_split_clause,[],[f18,f34]) ).
tff(f38,plain,
$false,
inference(avatar_smt_refutation,[],[f37,f32,f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI163_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n015.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 20:46:47 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 3.09/1.24 % (2986105)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.09/1.24 % (2986125)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2192578907:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.09/1.24 % (2986125)First to succeed.
% 3.09/1.24 % (2986125)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2986105"
% 3.09/1.24 % (2986127)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2298003196:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.09/1.24 % (2986128)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1195880253:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.09/1.24 % (2986129)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1449977041:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.09/1.24 % (2986131)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=892445056:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.09/1.24 % (2986126)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=617695630:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.09/1.24 % (2986129)Instruction limit reached!
% 3.09/1.24 % (2986129)------------------------------
% 3.09/1.24 % (2986129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.09/1.24 % (2986129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/1.24 % (2986129)CaDiCaL version: 2.1.3
% 3.09/1.24 % (2986129)Termination reason: Instruction limit
% 3.09/1.24 % (2986129)Termination phase: Saturation
% 3.09/1.24 % (2986129)Time elapsed: 0.004 s
% 3.09/1.24 % (2986129)Peak memory usage: 88 MB
% 3.09/1.24 % (2986129)Instructions burned: 5 (million)
% 3.09/1.24 % (2986128)Instruction limit reached!
% 3.09/1.24 % (2986128)------------------------------
% 3.09/1.24 % (2986128)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.09/1.24 % (2986128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/1.24 % (2986128)CaDiCaL version: 2.1.3
% 3.09/1.24 % (2986128)Termination reason: Instruction limit
% 3.09/1.24 % (2986128)Termination phase: Saturation
% 3.09/1.24 % (2986128)Time elapsed: 0.006 s
% 3.09/1.24 % (2986128)Peak memory usage: 88 MB
% 3.09/1.24 % (2986128)Instructions burned: 7 (million)
% 3.09/1.24 % (2986130)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2467786682:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.09/1.24 % (2986126)Also succeeded, but the first one will report.
% 3.09/1.24 % (2986131)Also succeeded, but the first one will report.
% 3.09/1.24 % (2986130)Also succeeded, but the first one will report.
% 3.09/1.24 % (2986127)Also succeeded, but the first one will report.
% 3.09/1.24 % (2986125)Refutation found. Thanks to Tanya!
% 3.09/1.24 % SZS status Theorem for theBenchmark
% 3.09/1.24 % SZS output start Proof for theBenchmark
% See solution above
% 3.09/1.24 % (2986125)------------------------------
% 3.09/1.24 % (2986125)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.09/1.24 % (2986125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/1.24 % (2986125)CaDiCaL version: 2.1.3
% 3.09/1.24 % (2986125)Termination reason: Refutation
% 3.09/1.24 % (2986125)Time elapsed: 0.019 s
% 3.09/1.24 % (2986125)Peak memory usage: 116 MB
% 3.09/1.24 % (2986125)Instructions burned: 8 (million)
% 3.09/1.24 % (2986125)------------------------------
% 3.09/1.24 % (2986125)------------------------------
% 3.09/1.24 % (2986105)Success in time 0.337 s
% 3.09/1.24 % Vampire exiting
%------------------------------------------------------------------------------