%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI545_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 : 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 09:33:19 AM UTC 2026
% Result : Theorem 3.81s 1.31s
% Output : Refutation 3.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 6 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 6 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 21 ( 5 atm; 5 fun; 7 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 : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 0 usr; 1 con; 0-2 aty)
% Number of variables : 4 ( 2 !; 2 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1,conjecture,
? [X0: $int] : $less($sum(X0,X0),-13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',int_combined_problem_9) ).
tff(f2,negated_conjecture,
~ ? [X0: $int] : $less($sum(X0,X0),-13),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f15,plain,
! [X0: $int] : ~ $less($sum(X0,X0),-13),
inference(ennf_transformation,[],[f2]) ).
tff(f16,plain,
! [X0: $int] : ~ $less($sum(X0,X0),-13),
inference(cnf_transformation,[],[f15]) ).
tff(f17,plain,
~ $less($sum(-13,-13),-13),
inference(instantiation,[],[f16]) ).
tff(f20,plain,
$false,
inference(evaluation,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI545_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n015.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 20:55:02 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 3.81/1.31 % (3003879)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.81/1.31 % (3003890)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1207864793:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.81/1.31 % (3003890)Instruction limit reached!
% 3.81/1.31 % (3003890)------------------------------
% 3.81/1.31 % (3003890)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.31 % (3003890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.31 % (3003890)CaDiCaL version: 2.1.3
% 3.81/1.31 % (3003890)Termination reason: Instruction limit
% 3.81/1.31 % (3003890)Termination phase: Saturation
% 3.81/1.31 % (3003890)Time elapsed: 0.027 s
% 3.81/1.31 % (3003890)Peak memory usage: 112 MB
% 3.81/1.31 % (3003890)Instructions burned: 35 (million)
% 3.81/1.31 % (3003889)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=881651892:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.81/1.31 % (3003886)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2537476711:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.81/1.31 % (3003885)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=460633884:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.81/1.31 % (3003888)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1783546720:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.81/1.31 % (3003884)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1156206195:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.81/1.31 % (3003887)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1510087555:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.81/1.31 % (3003887)First to succeed.
% 3.81/1.31 % (3003887)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3003879"
% 3.81/1.31 % (3003888)Instruction limit reached!
% 3.81/1.31 % (3003888)------------------------------
% 3.81/1.31 % (3003888)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.31 % (3003888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.31 % (3003888)CaDiCaL version: 2.1.3
% 3.81/1.31 % (3003888)Termination reason: Instruction limit
% 3.81/1.31 % (3003888)Termination phase: Saturation
% 3.81/1.31 % (3003888)Time elapsed: 0.004 s
% 3.81/1.31 % (3003888)Peak memory usage: 89 MB
% 3.81/1.31 % (3003888)Instructions burned: 5 (million)
% 3.81/1.31 % (3003885)Refutation not found, incomplete strategy
% 3.81/1.31 % (3003885)------------------------------
% 3.81/1.31 % (3003885)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.31 % (3003885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.31 % (3003885)CaDiCaL version: 2.1.3
% 3.81/1.31 % (3003885)Termination reason: Refutation not found, incomplete strategy
% 3.81/1.31 % (3003885)Time elapsed: 0.028 s
% 3.81/1.31 % (3003885)Peak memory usage: 111 MB
% 3.81/1.31 % (3003885)Instructions burned: 5 (million)
% 3.81/1.31 % (3003889)Refutation not found, incomplete strategy
% 3.81/1.31 % (3003889)------------------------------
% 3.81/1.31 % (3003889)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.31 % (3003889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.31 % (3003889)CaDiCaL version: 2.1.3
% 3.81/1.31 % (3003889)Termination reason: Refutation not found, incomplete strategy
% 3.81/1.31 % (3003889)Time elapsed: 0.028 s
% 3.81/1.31 % (3003889)Peak memory usage: 111 MB
% 3.81/1.31 % (3003889)Instructions burned: 5 (million)
% 3.81/1.31 % (3003884)Refutation not found, incomplete strategy
% 3.81/1.31 % (3003884)------------------------------
% 3.81/1.31 % (3003884)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.31 % (3003884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.31 % (3003884)CaDiCaL version: 2.1.3
% 3.81/1.31 % (3003884)Termination reason: Refutation not found, incomplete strategy
% 3.81/1.31 % (3003884)Time elapsed: 0.030 s
% 3.81/1.31 % (3003884)Peak memory usage: 112 MB
% 3.81/1.31 % (3003884)Instructions burned: 7 (million)
% 3.81/1.31 % (3003886)Also succeeded, but the first one will report.
% 3.81/1.31 % (3003892)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=2293334672:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.81/1.31 % (3003892)Refutation not found, incomplete strategy
% 3.81/1.31 % (3003892)------------------------------
% 3.81/1.31 % (3003892)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.31 % (3003892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.31 % (3003892)CaDiCaL version: 2.1.3
% 3.81/1.31 % (3003892)Termination reason: Refutation not found, incomplete strategy
% 3.81/1.31 % (3003892)Time elapsed: 0.001 s
% 3.81/1.31 % (3003892)Peak memory usage: 88 MB
% 3.81/1.31 % (3003899)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=323722106:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.81/1.31 % (3003899)Instruction limit reached!
% 3.81/1.31 % (3003899)------------------------------
% 3.81/1.31 % (3003899)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.31 % (3003899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.31 % (3003899)CaDiCaL version: 2.1.3
% 3.81/1.31 % (3003899)Termination reason: Instruction limit
% 3.81/1.31 % (3003899)Termination phase: Saturation
% 3.81/1.31 % (3003899)Time elapsed: 0.021 s
% 3.81/1.31 % (3003899)Peak memory usage: 88 MB
% 3.81/1.31 % (3003899)Instructions burned: 31 (million)
% 3.81/1.31 % (3003887)Refutation found. Thanks to Tanya!
% 3.81/1.31 % SZS status Theorem for theBenchmark
% 3.81/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 3.81/1.31 % (3003887)------------------------------
% 3.81/1.31 % (3003887)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.31 % (3003887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.31 % (3003887)CaDiCaL version: 2.1.3
% 3.81/1.31 % (3003887)Termination reason: Refutation
% 3.81/1.31 % (3003887)Time elapsed: 0.002 s
% 3.81/1.31 % (3003887)Peak memory usage: 89 MB
% 3.81/1.31 % (3003887)------------------------------
% 3.81/1.31 % (3003887)------------------------------
% 3.81/1.31 % (3003879)Success in time 0.446 s
% 3.81/1.31 % Vampire exiting
%------------------------------------------------------------------------------