%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI567_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 : n019.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 09:33:22 AM UTC 2026
% Result : Theorem 2.71s 1.05s
% Output : Refutation 2.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 8 ( 1 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number arithmetic : 47 ( 6 atm; 16 fun; 18 num; 7 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 : 7 ( 0 usr; 3 con; 0-2 aty)
% Number of variables : 7 ( 4 !; 3 ?; 7 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1,conjecture,
? [X0: $real] : $lesseq($difference(-1/4,$product(X0,-1/20)),0/1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',real_combined_problem_18) ).
tff(f2,negated_conjecture,
~ ? [X0: $real] : $lesseq($difference(-1/4,$product(X0,-1/20)),0/1),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ? [X0: $real] : ~ $less(0/1,$sum(-1/4,$uminus($product(X0,-1/20)))),
inference(theory_normalization,[],[f2]) ).
tff(f9,plain,
! [X0: $real] : ~ $less(X0,X0),
introduced(definition,[],[tha_non-reflexivity]) ).
tff(f21,plain,
! [X0: $real] : $less(0/1,$sum(-1/4,$uminus($product(X0,-1/20)))),
inference(ennf_transformation,[],[f3]) ).
tff(f22,plain,
! [X0: $real] : $less(0/1,$sum(-1/4,$uminus($product(X0,-1/20)))),
inference(cnf_transformation,[],[f21]) ).
tff(f24,plain,
! [X0: $real] : ( 0/1 != $sum(-1/4,$uminus($product(X0,-1/20))) ),
inference(constrained_resolution,[],[f9,f22]) ).
tff(f25,plain,
$false,
inference(gaussian_variable_elimination,[],[f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI567_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n019.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 20:52:34 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running first-order theorem proving
% 0.09/0.21 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
% 2.71/1.05 % (265134)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 2.71/1.05 % (265139)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2205159382:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 2.71/1.05 % (265139)First to succeed.
% 2.71/1.05 % (265139)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-265134"
% 2.71/1.05 % (265145)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1041932852:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 2.71/1.05 % (265143)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2004691481:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 2.71/1.05 % (265144)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2996698416:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 2.71/1.05 % (265142)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3232577434:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 2.71/1.05 % (265141)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=703505040:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 2.71/1.05 % (265140)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2754960681:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 2.71/1.05 % (265142)Also succeeded, but the first one will report.
% 2.71/1.05 % (265143)Instruction limit reached!
% 2.71/1.05 % (265143)------------------------------
% 2.71/1.05 % (265143)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.71/1.05 % (265143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/1.05 % (265143)CaDiCaL version: 2.1.3
% 2.71/1.05 % (265143)Termination reason: Instruction limit
% 2.71/1.05 % (265143)Termination phase: Saturation
% 2.71/1.05 % (265143)Time elapsed: 0.003 s
% 2.71/1.05 % (265143)Peak memory usage: 88 MB
% 2.71/1.05 % (265143)Instructions burned: 4 (million)
% 2.71/1.05 % (265145)Also succeeded, but the first one will report.
% 2.71/1.05 % (265140)Refutation not found, incomplete strategy
% 2.71/1.05 % (265140)------------------------------
% 2.71/1.05 % (265140)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.71/1.05 % (265140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/1.05 % (265140)CaDiCaL version: 2.1.3
% 2.71/1.05 % (265140)Termination reason: Refutation not found, incomplete strategy
% 2.71/1.05 % (265140)Time elapsed: 0.027 s
% 2.71/1.05 % (265140)Peak memory usage: 112 MB
% 2.71/1.05 % (265140)Instructions burned: 5 (million)
% 2.71/1.05 % (265144)Refutation not found, incomplete strategy
% 2.71/1.05 % (265144)------------------------------
% 2.71/1.05 % (265144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.71/1.05 % (265144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/1.05 % (265144)CaDiCaL version: 2.1.3
% 2.71/1.05 % (265144)Termination reason: Refutation not found, incomplete strategy
% 2.71/1.05 % (265144)Time elapsed: 0.028 s
% 2.71/1.05 % (265144)Peak memory usage: 111 MB
% 2.71/1.05 % (265144)Instructions burned: 5 (million)
% 2.71/1.05 % (265141)Also succeeded, but the first one will report.
% 2.71/1.05 % (265153)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=435921917:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.71/1.05 % (265153)Refutation not found, incomplete strategy
% 2.71/1.05 % (265153)------------------------------
% 2.71/1.05 % (265153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.71/1.05 % (265153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/1.05 % (265153)CaDiCaL version: 2.1.3
% 2.71/1.05 % (265153)Termination reason: Refutation not found, incomplete strategy
% 2.71/1.05 % (265153)Time elapsed: 0.001 s
% 2.71/1.05 % (265153)Peak memory usage: 88 MB
% 2.71/1.05 % (265139)Refutation found. Thanks to Tanya!
% 2.71/1.05 % SZS status Theorem for theBenchmark
% 2.71/1.05 % SZS output start Proof for theBenchmark
% See solution above
% 2.71/1.05 % (265139)------------------------------
% 2.71/1.05 % (265139)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.71/1.05 % (265139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/1.05 % (265139)CaDiCaL version: 2.1.3
% 2.71/1.05 % (265139)Termination reason: Refutation
% 2.71/1.05 % (265139)Time elapsed: 0.018 s
% 2.71/1.05 % (265139)Peak memory usage: 112 MB
% 2.71/1.05 % (265139)Instructions burned: 6 (million)
% 2.71/1.05 % (265139)------------------------------
% 2.71/1.05 % (265139)------------------------------
% 2.71/1.05 % (265134)Success in time 0.306 s
% 2.71/1.05 % Vampire exiting
%------------------------------------------------------------------------------