%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI344_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 : n010.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 09:32:56 AM UTC 2026
% Result : Theorem 3.67s 1.11s
% Output : Refutation 3.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 6 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 6 ( 5 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number arithmetic : 40 ( 0 atm; 15 fun; 15 num; 10 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 : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 0 usr; 3 con; 0-2 aty)
% Number of variables : 10 ( 4 !; 6 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1,conjecture,
? [X1: $rat,X0: $rat] : ( $sum($product(16/5,X0),$product(34/5,X1)) = 273/25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rat_combined_problem_10) ).
tff(f2,negated_conjecture,
~ ? [X1: $rat,X0: $rat] : ( $sum($product(16/5,X0),$product(34/5,X1)) = 273/25 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f20,plain,
~ ? [X0: $rat,X1: $rat] : ( 273/25 = $sum($product(16/5,X1),$product(34/5,X0)) ),
inference(rectify,[],[f2]) ).
tff(f21,plain,
! [X0: $rat,X1: $rat] : ( 273/25 != $sum($product(16/5,X1),$product(34/5,X0)) ),
inference(ennf_transformation,[],[f20]) ).
tff(f22,plain,
! [X0: $rat,X1: $rat] : ( 273/25 != $sum($product(16/5,X1),$product(34/5,X0)) ),
inference(cnf_transformation,[],[f21]) ).
tff(f23,plain,
$false,
inference(gaussian_variable_elimination,[],[f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ARI344_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 : n010.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 20:47:32 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 Running first-order theorem proving
% 0.09/0.20 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
% 3.67/1.11 % (2304823)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.67/1.11 % (2304833)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=4056569379:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.67/1.11 % (2304833)Refutation not found, incomplete strategy
% 3.67/1.11 % (2304833)------------------------------
% 3.67/1.11 % (2304833)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.11 % (2304833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.11 % (2304833)CaDiCaL version: 2.1.3
% 3.67/1.11 % (2304833)Termination reason: Refutation not found, incomplete strategy
% 3.67/1.11 % (2304833)Time elapsed: 0.016 s
% 3.67/1.11 % (2304833)Peak memory usage: 112 MB
% 3.67/1.11 % (2304833)Instructions burned: 5 (million)
% 3.67/1.11 % (2304829)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=4260178639:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.67/1.11 % (2304832)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3571499291:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.67/1.11 % (2304828)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2441831900:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.67/1.11 % (2304831)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=915537574:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.67/1.11 % (2304830)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2607818097:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.67/1.11 % (2304832)Instruction limit reached!
% 3.67/1.11 % (2304832)------------------------------
% 3.67/1.11 % (2304832)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.11 % (2304832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.11 % (2304832)CaDiCaL version: 2.1.3
% 3.67/1.11 % (2304832)Termination reason: Instruction limit
% 3.67/1.11 % (2304832)Termination phase: Saturation
% 3.67/1.11 % (2304832)Time elapsed: 0.004 s
% 3.67/1.11 % (2304832)Peak memory usage: 88 MB
% 3.67/1.11 % (2304832)Instructions burned: 5 (million)
% 3.67/1.11 % (2304831)Instruction limit reached!
% 3.67/1.11 % (2304831)------------------------------
% 3.67/1.11 % (2304831)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.11 % (2304831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.11 % (2304831)CaDiCaL version: 2.1.3
% 3.67/1.11 % (2304831)Termination reason: Instruction limit
% 3.67/1.11 % (2304831)Termination phase: Saturation
% 3.67/1.11 % (2304831)Time elapsed: 0.005 s
% 3.67/1.11 % (2304831)Peak memory usage: 88 MB
% 3.67/1.11 % (2304831)Instructions burned: 8 (million)
% 3.67/1.11 % (2304829)Refutation not found, incomplete strategy
% 3.67/1.11 % (2304829)------------------------------
% 3.67/1.11 % (2304829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.11 % (2304829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.11 % (2304829)CaDiCaL version: 2.1.3
% 3.67/1.11 % (2304829)Termination reason: Refutation not found, incomplete strategy
% 3.67/1.11 % (2304829)Time elapsed: 0.027 s
% 3.67/1.11 % (2304829)Peak memory usage: 111 MB
% 3.67/1.11 % (2304829)Instructions burned: 5 (million)
% 3.67/1.11 % (2304828)First to succeed.
% 3.67/1.11 % (2304828)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2304823"
% 3.67/1.11 % (2304830)Also succeeded, but the first one will report.
% 3.67/1.11 % (2304834)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3054101591:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.67/1.11 % (2304834)Instruction limit reached!
% 3.67/1.11 % (2304834)------------------------------
% 3.67/1.11 % (2304834)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.11 % (2304834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.11 % (2304834)CaDiCaL version: 2.1.3
% 3.67/1.11 % (2304834)Termination reason: Instruction limit
% 3.67/1.11 % (2304834)Termination phase: Saturation
% 3.67/1.11 % (2304834)Time elapsed: 0.044 s
% 3.67/1.11 % (2304834)Peak memory usage: 112 MB
% 3.67/1.11 % (2304834)Instructions burned: 33 (million)
% 3.67/1.11 % (2304833)------------------------------
% 3.67/1.11 % (2304833)------------------------------
% 3.67/1.11 % (2304855)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=2654995131:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.67/1.11 % (2304856)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=1792806095:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.67/1.11 % (2304855)Refutation not found, incomplete strategy
% 3.67/1.11 % (2304855)------------------------------
% 3.67/1.11 % (2304855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.11 % (2304855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.11 % (2304855)CaDiCaL version: 2.1.3
% 3.67/1.11 % (2304855)Termination reason: Refutation not found, incomplete strategy
% 3.67/1.11 % (2304855)Time elapsed: 0.001 s
% 3.67/1.11 % (2304855)Peak memory usage: 88 MB
% 3.67/1.11 % (2304856)Instruction limit reached!
% 3.67/1.11 % (2304856)------------------------------
% 3.67/1.11 % (2304856)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.11 % (2304856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.11 % (2304856)CaDiCaL version: 2.1.3
% 3.67/1.11 % (2304856)Termination reason: Instruction limit
% 3.67/1.11 % (2304856)Termination phase: Saturation
% 3.67/1.11 % (2304856)Time elapsed: 0.016 s
% 3.67/1.11 % (2304856)Peak memory usage: 88 MB
% 3.67/1.11 % (2304856)Instructions burned: 31 (million)
% 3.67/1.11 % (2304905)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=462449049:i=24:canc=force:rtra=on_2996 on theBenchmark for (2996ds/24Mi)
% 3.67/1.11 % (2304890)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=3817803053:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 3.67/1.11 % (2304890)Also succeeded, but the first one will report.
% 3.67/1.11 % (2304829)------------------------------
% 3.67/1.11 % (2304829)------------------------------
% 3.67/1.11 % (2304905)Instruction limit reached!
% 3.67/1.11 % (2304905)------------------------------
% 3.67/1.11 % (2304905)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.11 % (2304905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.11 % (2304905)CaDiCaL version: 2.1.3
% 3.67/1.11 % (2304905)Termination reason: Instruction limit
% 3.67/1.11 % (2304905)Termination phase: Saturation
% 3.67/1.11 % (2304905)Time elapsed: 0.008 s
% 3.67/1.11 % (2304905)Peak memory usage: 89 MB
% 3.67/1.11 % (2304905)Instructions burned: 24 (million)
% 3.67/1.11 % (2304828)Refutation found. Thanks to Tanya!
% 3.67/1.11 % SZS status Theorem for theBenchmark
% 3.67/1.11 % SZS output start Proof for theBenchmark
% See solution above
% 3.67/1.11 % (2304828)------------------------------
% 3.67/1.11 % (2304828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.11 % (2304828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.11 % (2304828)CaDiCaL version: 2.1.3
% 3.67/1.11 % (2304828)Termination reason: Refutation
% 3.67/1.11 % (2304828)Time elapsed: 0.028 s
% 3.67/1.11 % (2304828)Peak memory usage: 111 MB
% 3.67/1.11 % (2304828)Instructions burned: 5 (million)
% 3.67/1.11 % (2304828)------------------------------
% 3.67/1.11 % (2304828)------------------------------
% 3.67/1.11 % (2304823)Success in time 0.471 s
% 3.67/1.11 % Vampire exiting
%------------------------------------------------------------------------------