%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI376_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 : n020.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 09:33:00 AM UTC 2026
% Result : Theorem 3.99s 1.35s
% Output : Refutation 3.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 9 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 5 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 26 ( 9 atm; 1 fun; 7 num; 9 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 : 3 ( 0 usr; 2 con; 0-2 aty)
% Number of variables : 9 ( 6 !; 3 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1,conjecture,
? [X0: $real] : $greater(X0,7/1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',real_greater_problem_5) ).
tff(f2,negated_conjecture,
~ ? [X0: $real] : $greater(X0,7/1),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ? [X0: $real] : $less(7/1,X0),
inference(theory_normalization,[],[f2]) ).
tff(f9,plain,
! [X0: $real] : ~ $less(X0,X0),
introduced(definition,[],[tha_non-reflexivity]) ).
tff(f13,plain,
! [X0: $real,X1: $real] :
( $less(X1,$sum(X0,1/1))
| $less(X0,X1) ),
introduced(definition,[],[tha_order_plus_one_dichotomy]) ).
tff(f15,plain,
! [X0: $real] : ~ $less(7/1,X0),
inference(ennf_transformation,[],[f3]) ).
tff(f16,plain,
! [X0: $real] : ~ $less(7/1,X0),
inference(cnf_transformation,[],[f15]) ).
tff(f23,plain,
! [X0: $real] : $less(X0,7/1),
inference(resolution,[],[f13,f16]) ).
tff(f29,plain,
$false,
inference(resolution,[],[f23,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ARI376_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n020.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 20:50:04 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 3.99/1.35 % (531602)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.99/1.35 % (531729)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3004476090:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.99/1.35 % (531729)Refutation not found, incomplete strategy
% 3.99/1.35 % (531729)------------------------------
% 3.99/1.35 % (531729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.99/1.35 % (531729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.99/1.35 % (531729)CaDiCaL version: 2.1.3
% 3.99/1.35 % (531729)Termination reason: Refutation not found, incomplete strategy
% 3.99/1.35 % (531729)Time elapsed: 0.017 s
% 3.99/1.35 % (531729)Peak memory usage: 112 MB
% 3.99/1.35 % (531729)Instructions burned: 5 (million)
% 3.99/1.35 % (531728)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3754137460:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.99/1.35 % (531736)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1184315428:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.99/1.35 % (531733)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1024348623:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.99/1.35 % (531730)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3957697311:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.99/1.35 % (531731)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=122382243:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.99/1.35 % (531733)Instruction limit reached!
% 3.99/1.35 % (531733)------------------------------
% 3.99/1.35 % (531733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.99/1.35 % (531733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.99/1.35 % (531733)CaDiCaL version: 2.1.3
% 3.99/1.35 % (531733)Termination reason: Instruction limit
% 3.99/1.35 % (531733)Termination phase: Saturation
% 3.99/1.35 % (531733)Time elapsed: 0.004 s
% 3.99/1.35 % (531733)Peak memory usage: 88 MB
% 3.99/1.35 % (531733)Instructions burned: 6 (million)
% 3.99/1.35 % (531731)Instruction limit reached!
% 3.99/1.35 % (531731)------------------------------
% 3.99/1.35 % (531731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.99/1.35 % (531731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.99/1.35 % (531731)CaDiCaL version: 2.1.3
% 3.99/1.35 % (531731)Termination reason: Instruction limit
% 3.99/1.35 % (531731)Termination phase: Saturation
% 3.99/1.35 % (531731)Time elapsed: 0.005 s
% 3.99/1.35 % (531731)Peak memory usage: 88 MB
% 3.99/1.35 % (531731)Instructions burned: 7 (million)
% 3.99/1.35 % (531734)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=984667342:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.99/1.35 % (531736)First to succeed.
% 3.99/1.35 % (531736)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-531602"
% 3.99/1.35 % (531730)Also succeeded, but the first one will report.
% 3.99/1.35 % (531728)Instruction limit reached!
% 3.99/1.35 % (531728)------------------------------
% 3.99/1.35 % (531728)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.99/1.35 % (531728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.99/1.35 % (531728)CaDiCaL version: 2.1.3
% 3.99/1.35 % (531728)Termination reason: Instruction limit
% 3.99/1.35 % (531728)Termination phase: Saturation
% 3.99/1.35 % (531728)Time elapsed: 0.032 s
% 3.99/1.35 % (531728)Peak memory usage: 115 MB
% 3.99/1.35 % (531728)Instructions burned: 13 (million)
% 3.99/1.35 % (531734)Refutation not found, incomplete strategy
% 3.99/1.35 % (531734)------------------------------
% 3.99/1.35 % (531734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.99/1.35 % (531734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.99/1.35 % (531734)CaDiCaL version: 2.1.3
% 3.99/1.35 % (531734)Termination reason: Refutation not found, incomplete strategy
% 3.99/1.35 % (531734)Time elapsed: 0.027 s
% 3.99/1.35 % (531734)Peak memory usage: 111 MB
% 3.99/1.35 % (531734)Instructions burned: 5 (million)
% 3.99/1.35 % (531729)------------------------------
% 3.99/1.35 % (531729)------------------------------
% 3.99/1.35 % (531775)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=3287919195:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.99/1.35 % (531777)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=942391126:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.99/1.35 % (531775)Refutation not found, incomplete strategy
% 3.99/1.35 % (531775)------------------------------
% 3.99/1.35 % (531775)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.99/1.35 % (531775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.99/1.35 % (531775)CaDiCaL version: 2.1.3
% 3.99/1.35 % (531775)Termination reason: Refutation not found, incomplete strategy
% 3.99/1.35 % (531775)Time elapsed: 0.001 s
% 3.99/1.35 % (531775)Peak memory usage: 88 MB
% 3.99/1.35 % (531777)Refutation not found, incomplete strategy
% 3.99/1.35 % (531777)------------------------------
% 3.99/1.35 % (531777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.99/1.35 % (531777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.99/1.35 % (531777)CaDiCaL version: 2.1.3
% 3.99/1.35 % (531777)Termination reason: Refutation not found, incomplete strategy
% 3.99/1.35 % (531777)Time elapsed: 0.001 s
% 3.99/1.35 % (531777)Peak memory usage: 88 MB
% 3.99/1.35 % (531788)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=254454551:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 3.99/1.35 % (531788)Also succeeded, but the first one will report.
% 3.99/1.35 % (531815)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=3079128005:i=24:canc=force:rtra=on_2996 on theBenchmark for (2996ds/24Mi)
% 3.99/1.35 % (531815)Also succeeded, but the first one will report.
% 3.99/1.35 % (531736)Refutation found. Thanks to Tanya!
% 3.99/1.35 % SZS status Theorem for theBenchmark
% 3.99/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 3.99/1.35 % (531736)------------------------------
% 3.99/1.35 % (531736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.99/1.35 % (531736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.99/1.35 % (531736)CaDiCaL version: 2.1.3
% 3.99/1.35 % (531736)Termination reason: Refutation
% 3.99/1.35 % (531736)Time elapsed: 0.029 s
% 3.99/1.35 % (531736)Peak memory usage: 112 MB
% 3.99/1.35 % (531736)Instructions burned: 6 (million)
% 3.99/1.35 % (531736)------------------------------
% 3.99/1.35 % (531736)------------------------------
% 3.99/1.35 % (531602)Success in time 0.489 s
% 3.99/1.35 % Vampire exiting
%------------------------------------------------------------------------------