%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI725_1 : TPTP v9.3.1. Released v6.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 09:33:44 AM UTC 2026
% Result : Theorem 5.22s 1.46s
% Output : Refutation 5.22s
% 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 : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number arithmetic : 49 ( 6 atm; 24 fun; 14 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 : 5 ( 1 usr; 3 con; 0-2 aty)
% Number of variables : 5 ( 2 !; 3 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_7,type,
'$inst0': $real ).
tff(f1,conjecture,
? [X0: $real] : $greater($floor($product(2/1,X0)),$product(2/1,$floor(X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove) ).
tff(f2,negated_conjecture,
~ ? [X0: $real] : $greater($floor($product(2/1,X0)),$product(2/1,$floor(X0))),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ? [X0: $real] : $less($product(2/1,$floor(X0)),$floor($product(2/1,X0))),
inference(theory_normalization,[],[f2]) ).
tff(f23,plain,
! [X0: $real] : ~ $less($product(2/1,$floor(X0)),$floor($product(2/1,X0))),
inference(ennf_transformation,[],[f3]) ).
tff(f24,plain,
! [X0: $real] : ~ $less($product(2/1,$floor(X0)),$floor($product(2/1,X0))),
inference(cnf_transformation,[],[f23]) ).
tff(f26,plain,
~ $less($product(2/1,$floor(13/2)),$floor($product(2/1,13/2))),
inference(instantiation,[],[f24]) ).
tff(f27,plain,
$false,
inference(interpreted_simplification,[],[f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI725_1 : TPTP v9.3.1. Released v6.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n008.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
% 0.09/0.18 % DateTime : Mon Sep 28 21:02:09 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
% 5.22/1.46 % (2643151)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 5.22/1.46 % (2643191)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3508079610:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_3000 on theBenchmark for (3000ds/12Mi)
% 5.22/1.46 % (2643191)Instruction limit reached!
% 5.22/1.46 % (2643191)------------------------------
% 5.22/1.46 % (2643191)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.22/1.46 % (2643191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.46 % (2643191)CaDiCaL version: 2.1.3
% 5.22/1.46 % (2643191)Termination reason: Instruction limit
% 5.22/1.46 % (2643191)Termination phase: Saturation
% 5.22/1.46 % (2643191)Time elapsed: 0.032 s
% 5.22/1.46 % (2643191)Peak memory usage: 112 MB
% 5.22/1.46 % (2643191)Instructions burned: 12 (million)
% 5.22/1.46 % (2643195)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2551179284:i=4:rtra=on_3000 on theBenchmark for (3000ds/4Mi)
% 5.22/1.46 % (2643197)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3286125180:i=33:rtra=on_3000 on theBenchmark for (3000ds/33Mi)
% 5.22/1.46 % (2643196)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1244437119:i=46:rtra=on_3000 on theBenchmark for (3000ds/46Mi)
% 5.22/1.46 % (2643194)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=370629605:s2a=on:i=7:rtra=on:inst=on_3000 on theBenchmark for (3000ds/7Mi)
% 5.22/1.46 % (2643192)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2585346678:i=307:kws=precedence:nm=0:rtra=on_3000 on theBenchmark for (3000ds/307Mi)
% 5.22/1.46 % (2643193)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3913236170:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_3000 on theBenchmark for (3000ds/201Mi)
% 5.22/1.46 % (2643195)Instruction limit reached!
% 5.22/1.46 % (2643195)------------------------------
% 5.22/1.46 % (2643195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.22/1.46 % (2643195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.46 % (2643195)CaDiCaL version: 2.1.3
% 5.22/1.46 % (2643195)Termination reason: Instruction limit
% 5.22/1.46 % (2643195)Termination phase: Saturation
% 5.22/1.46 % (2643195)Time elapsed: 0.005 s
% 5.22/1.46 % (2643195)Peak memory usage: 88 MB
% 5.22/1.46 % (2643195)Instructions burned: 4 (million)
% 5.22/1.46 % (2643194)Instruction limit reached!
% 5.22/1.46 % (2643194)------------------------------
% 5.22/1.46 % (2643194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.22/1.46 % (2643194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.46 % (2643194)CaDiCaL version: 2.1.3
% 5.22/1.46 % (2643194)Termination reason: Instruction limit
% 5.22/1.46 % (2643194)Termination phase: Saturation
% 5.22/1.46 % (2643194)Time elapsed: 0.008 s
% 5.22/1.46 % (2643194)Peak memory usage: 88 MB
% 5.22/1.46 % (2643194)Instructions burned: 8 (million)
% 5.22/1.46 % (2643192)Refutation not found, incomplete strategy
% 5.22/1.46 % (2643192)------------------------------
% 5.22/1.46 % (2643192)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.22/1.46 % (2643196)Refutation not found, incomplete strategy
% 5.22/1.46 % (2643196)------------------------------
% 5.22/1.46 % (2643196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.22/1.46 % (2643196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.46 % (2643192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.46 % (2643196)CaDiCaL version: 2.1.3
% 5.22/1.46 % (2643192)CaDiCaL version: 2.1.3
% 5.22/1.46 % (2643196)Termination reason: Refutation not found, incomplete strategy
% 5.22/1.46 % (2643196)Time elapsed: 0.038 s
% 5.22/1.46 % (2643192)Termination reason: Refutation not found, incomplete strategy
% 5.22/1.46 % (2643192)Time elapsed: 0.038 s
% 5.22/1.46 % (2643196)Peak memory usage: 111 MB
% 5.22/1.46 % (2643192)Peak memory usage: 111 MB
% 5.22/1.46 % (2643196)Instructions burned: 5 (million)
% 5.22/1.46 % (2643192)Instructions burned: 5 (million)
% 5.22/1.46 % (2643193)First to succeed.
% 5.22/1.46 % (2643193)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2643151"
% 5.22/1.46 % (2643197)Instruction limit reached!
% 5.22/1.46 % (2643197)------------------------------
% 5.22/1.46 % (2643197)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.22/1.46 % (2643197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.46 % (2643197)CaDiCaL version: 2.1.3
% 5.22/1.46 % (2643197)Termination reason: Instruction limit
% 5.22/1.46 % (2643197)Termination phase: Saturation
% 5.22/1.46 % (2643197)Time elapsed: 0.064 s
% 5.22/1.46 % (2643197)Peak memory usage: 112 MB
% 5.22/1.46 % (2643197)Instructions burned: 33 (million)
% 5.22/1.46 % (2643208)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=312286168:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 5.22/1.46 % (2643208)Refutation not found, incomplete strategy
% 5.22/1.46 % (2643208)------------------------------
% 5.22/1.46 % (2643208)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.22/1.46 % (2643208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.46 % (2643208)CaDiCaL version: 2.1.3
% 5.22/1.46 % (2643208)Termination reason: Refutation not found, incomplete strategy
% 5.22/1.46 % (2643208)Time elapsed: 0.001 s
% 5.22/1.46 % (2643208)Peak memory usage: 88 MB
% 5.22/1.46 % (2643216)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=2846374027:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2997 on theBenchmark for (2997ds/29Mi)
% 5.22/1.46 % (2643216)Instruction limit reached!
% 5.22/1.46 % (2643216)------------------------------
% 5.22/1.46 % (2643216)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.22/1.46 % (2643216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.46 % (2643216)CaDiCaL version: 2.1.3
% 5.22/1.46 % (2643216)Termination reason: Instruction limit
% 5.22/1.46 % (2643216)Termination phase: Saturation
% 5.22/1.46 % (2643216)Time elapsed: 0.018 s
% 5.22/1.46 % (2643216)Peak memory usage: 88 MB
% 5.22/1.46 % (2643216)Instructions burned: 30 (million)
% 5.22/1.46 % (2643217)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=801810663:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 5.22/1.46 % (2643217)Also succeeded, but the first one will report.
% 5.22/1.46 % (2643218)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=1216006738:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 5.22/1.46 % (2643218)Instruction limit reached!
% 5.22/1.46 % (2643218)------------------------------
% 5.22/1.46 % (2643218)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.22/1.46 % (2643218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.46 % (2643218)CaDiCaL version: 2.1.3
% 5.22/1.46 % (2643218)Termination reason: Instruction limit
% 5.22/1.46 % (2643218)Termination phase: Saturation
% 5.22/1.46 % (2643218)Time elapsed: 0.029 s
% 5.22/1.46 % (2643218)Peak memory usage: 89 MB
% 5.22/1.46 % (2643218)Instructions burned: 24 (million)
% 5.22/1.46 % (2643224)ott+1010_8_to=lpo:sil=128000:si=on:norm_ineq=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=90625186:i=27:canc=cautious:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/27Mi)
% 5.22/1.46 % (2643224)Instruction limit reached!
% 5.22/1.46 % (2643224)------------------------------
% 5.22/1.46 % (2643224)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.22/1.46 % (2643224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.46 % (2643224)CaDiCaL version: 2.1.3
% 5.22/1.46 % (2643224)Termination reason: Instruction limit
% 5.22/1.46 % (2643224)Termination phase: Saturation
% 5.22/1.46 % (2643224)Time elapsed: 0.013 s
% 5.22/1.46 % (2643224)Peak memory usage: 89 MB
% 5.22/1.46 % (2643224)Instructions burned: 28 (million)
% 5.22/1.46 % (2643192)------------------------------
% 5.22/1.46 % (2643192)------------------------------
% 5.22/1.46 % (2643196)------------------------------
% 5.22/1.46 % (2643196)------------------------------
% 5.22/1.46 % (2643193)Refutation found. Thanks to Tanya!
% 5.22/1.46 % SZS status Theorem for theBenchmark
% 5.22/1.46 % SZS output start Proof for theBenchmark
% See solution above
% 5.22/1.46 % (2643193)------------------------------
% 5.22/1.46 % (2643193)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.22/1.46 % (2643193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.46 % (2643193)CaDiCaL version: 2.1.3
% 5.22/1.46 % (2643193)Termination reason: Refutation
% 5.22/1.46 % (2643193)Time elapsed: 0.043 s
% 5.22/1.46 % (2643193)Peak memory usage: 116 MB
% 5.22/1.46 % (2643193)Instructions burned: 8 (million)
% 5.22/1.46 % (2643193)------------------------------
% 5.22/1.46 % (2643193)------------------------------
% 5.22/1.46 % (2643151)Success in time 0.67 s
% 5.22/1.46 % Vampire exiting
%------------------------------------------------------------------------------