%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI092_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 09:32:31 AM UTC 2026
% Result : Theorem 3.92s 1.32s
% Output : Refutation 3.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 5 unt; 0 typ; 2 def)
% Number of atoms : 19 ( 14 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 6 ~; 0 |; 2 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 37 ( 0 atm; 12 fun; 21 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 : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 1 usr; 4 con; 0-2 aty)
% Number of variables : 4 ( 3 !; 1 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_8,type,
sK0: $int ).
tff(f1,conjecture,
! [X0: $int] :
( ( $difference(5,X0) = 2 )
=> ( X0 = 3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diff_5_only_3_2) ).
tff(f2,negated_conjecture,
~ ! [X0: $int] :
( ( $difference(5,X0) = 2 )
=> ( X0 = 3 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ! [X0: $int] :
( ( 2 = $sum(5,$uminus(X0)) )
=> ( X0 = 3 ) ),
inference(theory_normalization,[],[f2]) ).
tff(f16,plain,
? [X0: $int] :
( ( 3 != X0 )
& ( 2 = $sum(5,$uminus(X0)) ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f17,plain,
( ( 3 != sK0 )
& ( 2 = $sum(5,$uminus(sK0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f16]) ).
tff(f18,plain,
2 = $sum(5,$uminus(sK0)),
inference(cnf_transformation,[],[f17]) ).
tff(f19,plain,
3 != sK0,
inference(cnf_transformation,[],[f17]) ).
tff(f21,definition,
( spl1_1
<=> ( 3 = sK0 ) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
tff(f24,plain,
~ spl1_1,
inference(avatar_split_clause,[],[f19,f21]) ).
tff(f26,definition,
( spl1_2
<=> ( 2 = $sum(5,$uminus(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
tff(f29,plain,
spl1_2,
inference(avatar_split_clause,[],[f18,f26]) ).
tff(f30,plain,
$false,
inference(avatar_smt_refutation,[],[f29,f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI092_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.19 % Computer : n007.cluster.edu
% 0.12/0.19 % Model : x86_64 x86_64
% 0.12/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.19 % Memory : 8046.5625MB
% 0.12/0.19 % OS : Linux 6.8.0-71-generic
% 0.12/0.19 % CPULimit : 300
% 0.12/0.19 % WCLimit : 300
% 0.12/0.19 % DateTime : Mon Sep 28 20:40:25 UTC 2026
% 0.12/0.19 % CPUTime :
% 0.12/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.22 Running first-order theorem proving
% 0.12/0.22 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
% 3.92/1.32 % (2782657)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.92/1.32 % (2782779)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3010463662:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.92/1.32 % (2782779)Instruction limit reached!
% 3.92/1.32 % (2782779)------------------------------
% 3.92/1.32 % (2782779)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.92/1.32 % (2782779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/1.32 % (2782779)CaDiCaL version: 2.1.3
% 3.92/1.32 % (2782779)Termination reason: Instruction limit
% 3.92/1.32 % (2782779)Termination phase: Saturation
% 3.92/1.32 % (2782779)Time elapsed: 0.003 s
% 3.92/1.32 % (2782779)Peak memory usage: 89 MB
% 3.92/1.32 % (2782779)Instructions burned: 6 (million)
% 3.92/1.32 % (2782776)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=4053058042:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.92/1.32 % (2782775)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1748487587:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.92/1.32 % (2782780)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1226086213:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.92/1.32 % (2782778)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=4038163167:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.92/1.32 % (2782777)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=817615996:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.92/1.32 % (2782781)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1639516927:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.92/1.32 % (2782778)Instruction limit reached!
% 3.92/1.32 % (2782778)------------------------------
% 3.92/1.32 % (2782778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.92/1.32 % (2782778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/1.32 % (2782778)CaDiCaL version: 2.1.3
% 3.92/1.32 % (2782778)Termination reason: Instruction limit
% 3.92/1.32 % (2782778)Termination phase: Saturation
% 3.92/1.32 % (2782778)Time elapsed: 0.005 s
% 3.92/1.32 % (2782778)Peak memory usage: 88 MB
% 3.92/1.32 % (2782778)Instructions burned: 7 (million)
% 3.92/1.32 % (2782780)Also succeeded, but the first one will report.
% 3.92/1.32 % (2782775)First to succeed.
% 3.92/1.32 % (2782775)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2782657"
% 3.92/1.32 % (2782776)Also succeeded, but the first one will report.
% 3.92/1.32 % (2782781)Also succeeded, but the first one will report.
% 3.92/1.32 % (2782777)Also succeeded, but the first one will report.
% 3.92/1.32 % (2782783)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=368609067:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.92/1.32 % (2782783)Refutation not found, incomplete strategy
% 3.92/1.32 % (2782783)------------------------------
% 3.92/1.32 % (2782783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.92/1.32 % (2782783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/1.32 % (2782783)CaDiCaL version: 2.1.3
% 3.92/1.32 % (2782783)Termination reason: Refutation not found, incomplete strategy
% 3.92/1.32 % (2782783)Time elapsed: 0.001 s
% 3.92/1.32 % (2782783)Peak memory usage: 89 MB
% 3.92/1.32 % (2782790)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=3895650827:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.92/1.32 % (2782790)Instruction limit reached!
% 3.92/1.32 % (2782790)------------------------------
% 3.92/1.32 % (2782790)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.92/1.32 % (2782790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/1.32 % (2782790)CaDiCaL version: 2.1.3
% 3.92/1.32 % (2782790)Termination reason: Instruction limit
% 3.92/1.32 % (2782790)Termination phase: Saturation
% 3.92/1.32 % (2782790)Time elapsed: 0.016 s
% 3.92/1.32 % (2782790)Peak memory usage: 88 MB
% 3.92/1.32 % (2782790)Instructions burned: 30 (million)
% 3.92/1.32 % (2782783)------------------------------
% 3.92/1.32 % (2782783)------------------------------
% 3.92/1.32 % (2782775)Refutation found. Thanks to Tanya!
% 3.92/1.32 % SZS status Theorem for theBenchmark
% 3.92/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 3.92/1.32 % (2782775)------------------------------
% 3.92/1.32 % (2782775)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.92/1.32 % (2782775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/1.32 % (2782775)CaDiCaL version: 2.1.3
% 3.92/1.32 % (2782775)Termination reason: Refutation
% 3.92/1.32 % (2782775)Time elapsed: 0.031 s
% 3.92/1.32 % (2782775)Peak memory usage: 114 MB
% 3.92/1.32 % (2782775)Instructions burned: 7 (million)
% 3.92/1.32 % (2782775)------------------------------
% 3.92/1.32 % (2782775)------------------------------
% 3.92/1.32 % (2782657)Success in time 0.464 s
% 3.92/1.33 % Vampire exiting
%------------------------------------------------------------------------------