%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI558_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 : n012.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 09:33:21 AM UTC 2026
% Result : Theorem 3.55s 1.18s
% Output : Refutation 3.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 7 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 7 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number arithmetic : 46 ( 6 atm; 16 fun; 19 num; 5 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 : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 0 usr; 4 con; 0-2 aty)
% Number of variables : 5 ( 2 !; 3 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1,conjecture,
? [X0: $rat] : $lesseq($difference(-1/4,$product(X0,-1/20)),0/1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rat_combined_problem_18) ).
tff(f2,negated_conjecture,
~ ? [X0: $rat] : $lesseq($difference(-1/4,$product(X0,-1/20)),0/1),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ? [X0: $rat] : ~ $less(0/1,$sum(-1/4,$uminus($product(X0,-1/20)))),
inference(theory_normalization,[],[f2]) ).
tff(f21,plain,
! [X0: $rat] : $less(0/1,$sum(-1/4,$uminus($product(X0,-1/20)))),
inference(ennf_transformation,[],[f3]) ).
tff(f22,plain,
! [X0: $rat] : $less(0/1,$sum(-1/4,$uminus($product(X0,-1/20)))),
inference(cnf_transformation,[],[f21]) ).
tff(f26,plain,
$less(0/1,$sum(-1/4,$uminus($product(1/1,-1/20)))),
inference(instantiation,[],[f22]) ).
tff(f28,plain,
$false,
inference(evaluation,[],[f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ARI558_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.05/0.15 % Computer : n012.cluster.edu
% 0.05/0.15 % Model : x86_64 x86_64
% 0.05/0.15 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.15 % Memory : 8046.5625MB
% 0.05/0.15 % OS : Linux 6.8.0-71-generic
% 0.05/0.15 % CPULimit : 300
% 0.05/0.15 % WCLimit : 300
% 0.05/0.15 % DateTime : Mon Sep 28 20:51:49 UTC 2026
% 0.05/0.15 % CPUTime :
% 0.05/0.15 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.05/0.18 Running first-order theorem proving
% 0.05/0.18 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
% 3.55/1.18 % (3747371)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.55/1.18 % (3747383)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3831290556:i=46:rtra=on_3000 on theBenchmark for (3000ds/46Mi)
% 3.55/1.18 % (3747383)Refutation not found, incomplete strategy
% 3.55/1.18 % (3747383)------------------------------
% 3.55/1.18 % (3747383)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.18 % (3747383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.18 % (3747383)CaDiCaL version: 2.1.3
% 3.55/1.18 % (3747383)Termination reason: Refutation not found, incomplete strategy
% 3.55/1.18 % (3747383)Time elapsed: 0.016 s
% 3.55/1.18 % (3747383)Peak memory usage: 111 MB
% 3.55/1.18 % (3747383)Instructions burned: 5 (million)
% 3.55/1.18 % (3747380)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=860970245:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_3000 on theBenchmark for (3000ds/201Mi)
% 3.55/1.18 % (3747379)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2360412996:i=307:kws=precedence:nm=0:rtra=on_3000 on theBenchmark for (3000ds/307Mi)
% 3.55/1.18 % (3747378)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1874571876:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_3000 on theBenchmark for (3000ds/12Mi)
% 3.55/1.18 % (3747381)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2240073783:s2a=on:i=7:rtra=on:inst=on_3000 on theBenchmark for (3000ds/7Mi)
% 3.55/1.18 % (3747381)First to succeed.
% 3.55/1.18 % (3747381)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3747371"
% 3.55/1.18 % (3747384)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1532492924:i=33:rtra=on_3000 on theBenchmark for (3000ds/33Mi)
% 3.55/1.18 % (3747382)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1450474170:i=4:rtra=on_3000 on theBenchmark for (3000ds/4Mi)
% 3.55/1.18 % (3747382)Instruction limit reached!
% 3.55/1.18 % (3747382)------------------------------
% 3.55/1.18 % (3747382)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.18 % (3747382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.18 % (3747382)CaDiCaL version: 2.1.3
% 3.55/1.18 % (3747382)Termination reason: Instruction limit
% 3.55/1.18 % (3747382)Termination phase: Saturation
% 3.55/1.18 % (3747382)Time elapsed: 0.004 s
% 3.55/1.18 % (3747382)Peak memory usage: 88 MB
% 3.55/1.18 % (3747382)Instructions burned: 5 (million)
% 3.55/1.18 % (3747379)Refutation not found, incomplete strategy
% 3.55/1.18 % (3747379)------------------------------
% 3.55/1.18 % (3747379)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.18 % (3747379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.18 % (3747379)CaDiCaL version: 2.1.3
% 3.55/1.18 % (3747379)Termination reason: Refutation not found, incomplete strategy
% 3.55/1.18 % (3747379)Time elapsed: 0.022 s
% 3.55/1.18 % (3747379)Peak memory usage: 111 MB
% 3.55/1.18 % (3747379)Instructions burned: 5 (million)
% 3.55/1.18 % (3747378)Also succeeded, but the first one will report.
% 3.55/1.18 % (3747380)Also succeeded, but the first one will report.
% 3.55/1.18 % (3747384)Also succeeded, but the first one will report.
% 3.55/1.18 % (3747383)------------------------------
% 3.55/1.18 % (3747383)------------------------------
% 3.55/1.18 % (3747381)Refutation found. Thanks to Tanya!
% 3.55/1.18 % SZS status Theorem for theBenchmark
% 3.55/1.18 % SZS output start Proof for theBenchmark
% See solution above
% 3.55/1.18 % (3747381)------------------------------
% 3.55/1.18 % (3747381)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.18 % (3747381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.18 % (3747381)CaDiCaL version: 2.1.3
% 3.55/1.18 % (3747381)Termination reason: Refutation
% 3.55/1.18 % (3747381)Time elapsed: 0.002 s
% 3.55/1.18 % (3747381)Peak memory usage: 88 MB
% 3.55/1.18 % (3747381)Instructions burned: 1 (million)
% 3.55/1.18 % (3747381)------------------------------
% 3.55/1.18 % (3747381)------------------------------
% 3.55/1.18 % (3747371)Success in time 0.436 s
% 3.55/1.18 % Vampire exiting
%------------------------------------------------------------------------------