%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI207_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 : n004.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 09:32:42 AM UTC 2026
% Result : Theorem 4.04s 1.58s
% Output : Refutation 4.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 9 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 9 ( 1 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 28 ( 7 atm; 4 fun; 9 num; 8 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 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 0 usr; 2 con; 0-2 aty)
% Number of variables : 8 ( 5 !; 3 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1,conjecture,
? [X0: $rat] : $lesseq(3/16,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rat_lesseq_problem_5) ).
tff(f2,negated_conjecture,
~ ? [X0: $rat] : $lesseq(3/16,X0),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ? [X0: $rat] : ~ $less(X0,3/16),
inference(theory_normalization,[],[f2]) ).
tff(f9,plain,
! [X0: $rat] : ~ $less(X0,X0),
introduced(definition,[],[tha_non-reflexivity]) ).
tff(f15,plain,
! [X0: $rat] : $less(X0,3/16),
inference(ennf_transformation,[],[f3]) ).
tff(f16,plain,
! [X0: $rat] : $less(X0,3/16),
inference(cnf_transformation,[],[f15]) ).
tff(f17,plain,
! [X0: $rat] : $less(0/1,$sum(3/16,$uminus(X0))),
inference(evaluation,[],[f16]) ).
tff(f18,plain,
! [X0: $rat] : ( 0/1 != $sum(3/16,$uminus(X0)) ),
inference(constrained_resolution,[],[f9,f17]) ).
tff(f19,plain,
$false,
inference(gaussian_variable_elimination,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI207_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 % Computer : n004.cluster.edu
% 0.10/0.23 % Model : x86_64 x86_64
% 0.10/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.23 % Memory : 8046.5625MB
% 0.10/0.23 % OS : Linux 6.8.0-71-generic
% 0.10/0.24 % CPULimit : 300
% 0.10/0.24 % WCLimit : 300
% 0.10/0.24 % DateTime : Mon Sep 28 20:44:37 UTC 2026
% 0.10/0.24 % CPUTime :
% 0.10/0.24 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.29 Running first-order theorem proving
% 0.24/0.29 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
% 4.04/1.58 % (742499)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 4.04/1.58 % (742504)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3401294864:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 4.04/1.58 % (742510)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=819911326:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 4.04/1.58 % (742504)First to succeed.
% 4.04/1.58 % (742504)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-742499"
% 4.04/1.58 % (742510)Also succeeded, but the first one will report.
% 4.04/1.58 % (742507)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=998202304:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 4.04/1.58 % (742506)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3547415752:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 4.04/1.58 % (742505)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1684662997:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 4.04/1.58 % (742508)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=698749240:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 4.04/1.58 % (742509)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1635785007:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 4.04/1.58 % (742508)Also succeeded, but the first one will report.
% 4.04/1.58 % (742507)Also succeeded, but the first one will report.
% 4.04/1.58 % (742505)Refutation not found, incomplete strategy
% 4.04/1.58 % (742505)------------------------------
% 4.04/1.58 % (742505)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.04/1.58 % (742505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.04/1.58 % (742505)CaDiCaL version: 2.1.3
% 4.04/1.58 % (742505)Termination reason: Refutation not found, incomplete strategy
% 4.04/1.58 % (742505)Time elapsed: 0.038 s
% 4.04/1.58 % (742505)Peak memory usage: 111 MB
% 4.04/1.58 % (742505)Instructions burned: 5 (million)
% 4.04/1.58 % (742509)Refutation not found, incomplete strategy
% 4.04/1.58 % (742509)------------------------------
% 4.04/1.58 % (742509)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.04/1.58 % (742509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.04/1.58 % (742509)CaDiCaL version: 2.1.3
% 4.04/1.58 % (742509)Termination reason: Refutation not found, incomplete strategy
% 4.04/1.58 % (742509)Time elapsed: 0.039 s
% 4.04/1.58 % (742509)Peak memory usage: 111 MB
% 4.04/1.58 % (742509)Instructions burned: 5 (million)
% 4.04/1.58 % (742506)Also succeeded, but the first one will report.
% 4.04/1.58 % (742504)Refutation found. Thanks to Tanya!
% 4.04/1.58 % SZS status Theorem for theBenchmark
% 4.04/1.58 % SZS output start Proof for theBenchmark
% See solution above
% 4.04/1.58 % (742504)------------------------------
% 4.04/1.58 % (742504)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.04/1.58 % (742504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.04/1.58 % (742504)CaDiCaL version: 2.1.3
% 4.04/1.58 % (742504)Termination reason: Refutation
% 4.04/1.58 % (742504)Time elapsed: 0.022 s
% 4.04/1.58 % (742504)Peak memory usage: 112 MB
% 4.04/1.58 % (742504)Instructions burned: 5 (million)
% 4.04/1.58 % (742504)------------------------------
% 4.04/1.58 % (742504)------------------------------
% 4.04/1.58 % (742499)Success in time 0.442 s
% 4.04/1.58 % Vampire exiting
%------------------------------------------------------------------------------