%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI222_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 : n004.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 09:32:43 AM UTC 2026
% Result : Theorem 0.28s 1.71s
% Output : Refutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% 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 : 29 ( 9 atm; 2 fun; 2 num; 16 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 : 2 ( 0 usr; 1 con; 0-2 aty)
% Number of variables : 16 ( 10 !; 6 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1,conjecture,
? [X0: $rat,X1: $rat] : $greater(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rat_greater_problem_6) ).
tff(f2,negated_conjecture,
~ ? [X0: $rat,X1: $rat] : $greater(X0,X1),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ? [X0: $rat,X1: $rat] : $less(X1,X0),
inference(theory_normalization,[],[f2]) ).
tff(f13,plain,
! [X0: $rat,X1: $rat] :
( $less(X0,X1)
| $less(X1,$sum(X0,1/1)) ),
introduced(definition,[],[tha_order_plus_one_dichotomy]) ).
tff(f15,plain,
! [X1: $rat,X0: $rat] : ~ $less(X1,X0),
inference(ennf_transformation,[],[f3]) ).
tff(f16,plain,
! [X0: $rat,X1: $rat] : ~ $less(X0,X1),
inference(rectify,[],[f15]) ).
tff(f17,plain,
! [X0: $rat,X1: $rat] : ~ $less(X0,X1),
inference(cnf_transformation,[],[f16]) ).
tff(f19,plain,
! [X0: $rat,X1: $rat] : $less(X1,$sum(X0,1/1)),
inference(forward_subsumption_resolution,[],[f13,f17]) ).
tff(f21,plain,
$false,
inference(forward_subsumption_resolution,[],[f19,f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI222_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.26 % Computer : n004.cluster.edu
% 0.09/0.26 % Model : x86_64 x86_64
% 0.09/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.26 % Memory : 8046.5625MB
% 0.09/0.26 % OS : Linux 6.8.0-71-generic
% 0.09/0.26 % CPULimit : 300
% 0.09/0.26 % WCLimit : 300
% 0.09/0.26 % DateTime : Mon Sep 28 20:44:52 UTC 2026
% 0.09/0.26 % CPUTime :
% 0.09/0.26 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.32 Running first-order theorem proving
% 0.24/0.32 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
% 0.28/1.71 % (742987)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 0.28/1.71 % (742993)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3311023605:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 0.28/1.71 % (742998)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=4084092230:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 0.28/1.71 % (742993)Refutation not found, incomplete strategy
% 0.28/1.71 % (742993)------------------------------
% 0.28/1.71 % (742993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.28/1.71 % (742993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/1.71 % (742993)CaDiCaL version: 2.1.3
% 0.28/1.71 % (742993)Termination reason: Refutation not found, incomplete strategy
% 0.28/1.71 % (742993)Time elapsed: 0.023 s
% 0.28/1.71 % (742993)Peak memory usage: 112 MB
% 0.28/1.71 % (742993)Instructions burned: 5 (million)
% 0.28/1.71 % (742998)First to succeed.
% 0.28/1.71 % (742998)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-742987"
% 0.28/1.71 % (742995)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=269817100:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 0.28/1.71 % (742996)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3959922222:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 0.28/1.71 % (742997)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3677585680:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 0.28/1.71 % (742992)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1866590135:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 0.28/1.71 % (742994)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1039499418:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 0.28/1.71 % (742995)Also succeeded, but the first one will report.
% 0.28/1.71 % (742996)Also succeeded, but the first one will report.
% 0.28/1.71 % (742997)Refutation not found, incomplete strategy
% 0.28/1.71 % (742997)------------------------------
% 0.28/1.71 % (742997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.28/1.71 % (742997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/1.71 % (742997)CaDiCaL version: 2.1.3
% 0.28/1.71 % (742997)Termination reason: Refutation not found, incomplete strategy
% 0.28/1.71 % (742997)Time elapsed: 0.038 s
% 0.28/1.71 % (742997)Peak memory usage: 111 MB
% 0.28/1.71 % (742997)Instructions burned: 5 (million)
% 0.28/1.71 % (742992)Refutation not found, incomplete strategy
% 0.28/1.71 % (742992)------------------------------
% 0.28/1.71 % (742992)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.28/1.71 % (742992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/1.71 % (742992)CaDiCaL version: 2.1.3
% 0.28/1.71 % (742992)Termination reason: Refutation not found, incomplete strategy
% 0.28/1.71 % (742992)Time elapsed: 0.039 s
% 0.28/1.71 % (742992)Peak memory usage: 112 MB
% 0.28/1.71 % (742992)Instructions burned: 6 (million)
% 0.28/1.71 % (742994)Also succeeded, but the first one will report.
% 0.28/1.71 % (742993)------------------------------
% 0.28/1.71 % (742993)------------------------------
% 0.28/1.71 % (742998)Refutation found. Thanks to Tanya!
% 0.28/1.71 % SZS status Theorem for theBenchmark
% 0.28/1.71 % SZS output start Proof for theBenchmark
% See solution above
% 0.28/1.71 % (742998)------------------------------
% 0.28/1.71 % (742998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.28/1.71 % (742998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/1.71 % (742998)CaDiCaL version: 2.1.3
% 0.28/1.71 % (742998)Termination reason: Refutation
% 0.28/1.71 % (742998)Time elapsed: 0.036 s
% 0.28/1.71 % (742998)Peak memory usage: 112 MB
% 0.28/1.71 % (742998)Instructions burned: 5 (million)
% 0.28/1.71 % (742998)------------------------------
% 0.28/1.71 % (742998)------------------------------
% 0.28/1.71 % (742987)Success in time 0.632 s
% 0.28/1.71 % Vampire exiting
%------------------------------------------------------------------------------