%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI726_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 : n005.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 3.52s 1.06s
% Output : Refutation 3.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 7 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 19 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 23 ( 11 ~; 6 |; 6 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 62 ( 18 atm; 12 fun; 27 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 : 4 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 1 usr; 5 con; 0-2 aty)
% Number of variables : 5 ( 2 !; 3 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_7,type,
'$inst0': $real ).
tff(f1,conjecture,
? [X0: $real] :
( $greater($product(2/5,X0),1/1)
& $is_int(X0)
& $less($product(3/10,X0),1/1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove) ).
tff(f2,negated_conjecture,
~ ? [X0: $real] :
( $greater($product(2/5,X0),1/1)
& $is_int(X0)
& $less($product(3/10,X0),1/1) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ? [X0: $real] :
( $is_int(X0)
& $less(1/1,$product(2/5,X0))
& $less($product(3/10,X0),1/1) ),
inference(theory_normalization,[],[f2]) ).
tff(f21,plain,
! [X0: $real] :
( ~ $less(1/1,$product(2/5,X0))
| ~ $is_int(X0)
| ~ $less($product(3/10,X0),1/1) ),
inference(ennf_transformation,[],[f3]) ).
tff(f22,plain,
! [X0: $real] :
( ~ $less(1/1,$product(2/5,X0))
| ~ $is_int(X0)
| ~ $less($product(3/10,X0),1/1) ),
inference(cnf_transformation,[],[f21]) ).
tff(f24,plain,
( ~ $less(1/1,$product(2/5,3/1))
| ~ $is_int(3/1)
| ~ $less($product(3/10,3/1),1/1) ),
inference(instantiation,[],[f22]) ).
tff(f25,plain,
$false,
inference(interpreted_simplification,[],[f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI726_1 : TPTP v9.3.1. Released v6.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n005.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 21:01:16 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running first-order theorem proving
% 0.08/0.24 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
% 3.52/1.06 % (1167620)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.52/1.06 % (1167720)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1284372306:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.52/1.06 % (1167722)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=120748115:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.52/1.06 % (1167721)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2582248380:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.52/1.06 % (1167723)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3424285400:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.52/1.06 % (1167719)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2012790710:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.52/1.06 % (1167725)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2977523853:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.52/1.06 % (1167723)Instruction limit reached!
% 3.52/1.06 % (1167723)------------------------------
% 3.52/1.06 % (1167723)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.52/1.06 % (1167723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/1.06 % (1167723)CaDiCaL version: 2.1.3
% 3.52/1.06 % (1167723)Termination reason: Instruction limit
% 3.52/1.06 % (1167723)Termination phase: Saturation
% 3.52/1.06 % (1167723)Time elapsed: 0.004 s
% 3.52/1.06 % (1167723)Peak memory usage: 89 MB
% 3.52/1.06 % (1167723)Instructions burned: 5 (million)
% 3.52/1.06 % (1167722)Instruction limit reached!
% 3.52/1.06 % (1167722)------------------------------
% 3.52/1.06 % (1167722)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.52/1.06 % (1167722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/1.06 % (1167722)CaDiCaL version: 2.1.3
% 3.52/1.06 % (1167722)Termination reason: Instruction limit
% 3.52/1.06 % (1167722)Termination phase: Saturation
% 3.52/1.06 % (1167722)Time elapsed: 0.005 s
% 3.52/1.06 % (1167722)Peak memory usage: 88 MB
% 3.52/1.06 % (1167722)Instructions burned: 7 (million)
% 3.52/1.06 % (1167724)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2017843993:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.52/1.06 % (1167720)Refutation not found, incomplete strategy
% 3.52/1.06 % (1167720)------------------------------
% 3.52/1.06 % (1167720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.52/1.06 % (1167720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/1.06 % (1167720)CaDiCaL version: 2.1.3
% 3.52/1.06 % (1167720)Termination reason: Refutation not found, incomplete strategy
% 3.52/1.06 % (1167720)Time elapsed: 0.027 s
% 3.52/1.06 % (1167720)Peak memory usage: 111 MB
% 3.52/1.06 % (1167720)Instructions burned: 5 (million)
% 3.52/1.06 % (1167724)Refutation not found, incomplete strategy
% 3.52/1.06 % (1167724)------------------------------
% 3.52/1.06 % (1167724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.52/1.06 % (1167724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/1.06 % (1167724)CaDiCaL version: 2.1.3
% 3.52/1.06 % (1167724)Termination reason: Refutation not found, incomplete strategy
% 3.52/1.06 % (1167724)Time elapsed: 0.016 s
% 3.52/1.06 % (1167724)Peak memory usage: 111 MB
% 3.52/1.06 % (1167724)Instructions burned: 5 (million)
% 3.52/1.06 % (1167719)Instruction limit reached!
% 3.52/1.06 % (1167719)------------------------------
% 3.52/1.06 % (1167719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.52/1.06 % (1167719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/1.06 % (1167719)CaDiCaL version: 2.1.3
% 3.52/1.06 % (1167719)Termination reason: Instruction limit
% 3.52/1.06 % (1167719)Termination phase: Saturation
% 3.52/1.06 % (1167719)Time elapsed: 0.029 s
% 3.52/1.06 % (1167719)Peak memory usage: 112 MB
% 3.52/1.06 % (1167719)Instructions burned: 12 (million)
% 3.52/1.06 % (1167721)First to succeed.
% 3.52/1.06 % (1167721)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1167620"
% 3.52/1.06 % (1167725)Instruction limit reached!
% 3.52/1.06 % (1167725)------------------------------
% 3.52/1.06 % (1167725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.52/1.06 % (1167725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/1.06 % (1167725)CaDiCaL version: 2.1.3
% 3.52/1.06 % (1167725)Termination reason: Instruction limit
% 3.52/1.06 % (1167725)Termination phase: Saturation
% 3.52/1.06 % (1167725)Time elapsed: 0.043 s
% 3.52/1.06 % (1167725)Peak memory usage: 111 MB
% 3.52/1.06 % (1167725)Instructions burned: 33 (million)
% 3.52/1.06 % (1167737)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=3871771167:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.52/1.06 % (1167738)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=2989328553:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.52/1.06 % (1167737)Refutation not found, incomplete strategy
% 3.52/1.06 % (1167737)------------------------------
% 3.52/1.06 % (1167737)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.52/1.06 % (1167737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/1.06 % (1167737)CaDiCaL version: 2.1.3
% 3.52/1.06 % (1167737)Termination reason: Refutation not found, incomplete strategy
% 3.52/1.06 % (1167737)Time elapsed: 0.001 s
% 3.52/1.06 % (1167737)Peak memory usage: 88 MB
% 3.52/1.06 % (1167724)------------------------------
% 3.52/1.06 % (1167724)------------------------------
% 3.52/1.06 % (1167738)Instruction limit reached!
% 3.52/1.06 % (1167738)------------------------------
% 3.52/1.06 % (1167738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.52/1.06 % (1167738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/1.06 % (1167738)CaDiCaL version: 2.1.3
% 3.52/1.06 % (1167738)Termination reason: Instruction limit
% 3.52/1.06 % (1167738)Termination phase: Saturation
% 3.52/1.06 % (1167738)Time elapsed: 0.016 s
% 3.52/1.06 % (1167738)Peak memory usage: 88 MB
% 3.52/1.06 % (1167738)Instructions burned: 31 (million)
% 3.52/1.06 % (1167739)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=2026483775:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 3.52/1.06 % (1167739)Refutation not found, incomplete strategy
% 3.52/1.06 % (1167739)------------------------------
% 3.52/1.06 % (1167739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.52/1.06 % (1167739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/1.06 % (1167739)CaDiCaL version: 2.1.3
% 3.52/1.06 % (1167739)Termination reason: Refutation not found, incomplete strategy
% 3.52/1.06 % (1167739)Time elapsed: 0.003 s
% 3.52/1.06 % (1167739)Peak memory usage: 90 MB
% 3.52/1.06 % (1167739)Instructions burned: 4 (million)
% 3.52/1.06 % (1167740)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=3369127295:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 3.52/1.06 % (1167740)Instruction limit reached!
% 3.52/1.06 % (1167740)------------------------------
% 3.52/1.06 % (1167740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.52/1.06 % (1167740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/1.06 % (1167740)CaDiCaL version: 2.1.3
% 3.52/1.06 % (1167740)Termination reason: Instruction limit
% 3.52/1.06 % (1167740)Termination phase: Saturation
% 3.52/1.06 % (1167740)Time elapsed: 0.016 s
% 3.52/1.06 % (1167740)Peak memory usage: 89 MB
% 3.52/1.06 % (1167740)Instructions burned: 26 (million)
% 3.52/1.06 % (1167720)------------------------------
% 3.52/1.06 % (1167720)------------------------------
% 3.52/1.06 % (1167721)Refutation found. Thanks to Tanya!
% 3.52/1.06 % SZS status Theorem for theBenchmark
% 3.52/1.06 % SZS output start Proof for theBenchmark
% See solution above
% 3.52/1.06 % (1167721)------------------------------
% 3.52/1.06 % (1167721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.52/1.06 % (1167721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/1.06 % (1167721)CaDiCaL version: 2.1.3
% 3.52/1.06 % (1167721)Termination reason: Refutation
% 3.52/1.06 % (1167721)Time elapsed: 0.030 s
% 3.52/1.06 % (1167721)Peak memory usage: 116 MB
% 3.52/1.06 % (1167721)Instructions burned: 7 (million)
% 3.52/1.06 % (1167721)------------------------------
% 3.52/1.06 % (1167721)------------------------------
% 3.52/1.06 % (1167620)Success in time 0.453 s
% 3.52/1.06 % Vampire exiting
%------------------------------------------------------------------------------