%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI494_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 09:33:13 AM UTC 2026
% Result : Theorem 0.29s 1.61s
% Output : Refutation 0.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 8 ( 1 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 46 ( 6 atm; 14 fun; 19 num; 7 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 ( 0 usr; 3 con; 0-2 aty)
% Number of variables : 7 ( 5 !; 2 ?; 7 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1,conjecture,
? [X0: $real] : $less($sum($product(X0,16/5),-3/4),-64/5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',real_combined_problem_9) ).
tff(f2,negated_conjecture,
~ ? [X0: $real] : $less($sum($product(X0,16/5),-3/4),-64/5),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
! [X0: $real,X1: $real] : ( $sum(X1,X0) = $sum(X0,X1) ),
introduced(definition,[],[tha_commutativity]) ).
tff(f20,plain,
! [X0: $real] : ~ $less($sum($product(X0,16/5),-3/4),-64/5),
inference(ennf_transformation,[],[f2]) ).
tff(f21,plain,
! [X0: $real] : ~ $less($sum($product(X0,16/5),-3/4),-64/5),
inference(cnf_transformation,[],[f20]) ).
tff(f23,plain,
! [X0: $real] : ~ $less($sum(-3/4,$product(X0,16/5)),-64/5),
inference(forward_demodulation,[],[f21,f3]) ).
tff(f24,plain,
~ $less($sum(-3/4,$product(-64/5,16/5)),-64/5),
inference(instantiation,[],[f23]) ).
tff(f29,plain,
$false,
inference(evaluation,[],[f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ARI494_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.26 % Computer : n020.cluster.edu
% 0.10/0.26 % Model : x86_64 x86_64
% 0.10/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.26 % Memory : 8046.5625MB
% 0.10/0.26 % OS : Linux 6.8.0-71-generic
% 0.10/0.26 % CPULimit : 300
% 0.10/0.26 % WCLimit : 300
% 0.10/0.26 % DateTime : Mon Sep 28 20:51:20 UTC 2026
% 0.10/0.26 % CPUTime :
% 0.10/0.26 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.31 Running first-order theorem proving
% 0.25/0.31 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.29/1.60 % (535853)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 0.29/1.60 % (535872)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1641727750:i=46:rtra=on_3000 on theBenchmark for (3000ds/46Mi)
% 0.29/1.60 % (535872)Refutation not found, incomplete strategy
% 0.29/1.60 % (535872)------------------------------
% 0.29/1.60 % (535872)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.29/1.60 % (535872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/1.60 % (535872)CaDiCaL version: 2.1.3
% 0.29/1.60 % (535872)Termination reason: Refutation not found, incomplete strategy
% 0.29/1.60 % (535872)Time elapsed: 0.027 s
% 0.29/1.60 % (535872)Peak memory usage: 111 MB
% 0.29/1.60 % (535872)Instructions burned: 5 (million)
% 0.29/1.60 % (535867)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1698347809:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_3000 on theBenchmark for (3000ds/12Mi)
% 0.29/1.60 % (535869)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=100289878:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_3000 on theBenchmark for (3000ds/201Mi)
% 0.29/1.60 % (535871)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=26489664:i=4:rtra=on_3000 on theBenchmark for (3000ds/4Mi)
% 0.29/1.60 % (535868)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=241664539:i=307:kws=precedence:nm=0:rtra=on_3000 on theBenchmark for (3000ds/307Mi)
% 0.29/1.60 % (535870)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=595034578:s2a=on:i=7:rtra=on:inst=on_3000 on theBenchmark for (3000ds/7Mi)
% 0.29/1.60 % (535870)First to succeed.
% 0.29/1.60 % (535870)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-535853"
% 0.29/1.60 % (535871)Instruction limit reached!
% 0.29/1.60 % (535871)------------------------------
% 0.29/1.60 % (535871)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.29/1.60 % (535871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/1.60 % (535871)CaDiCaL version: 2.1.3
% 0.29/1.60 % (535871)Termination reason: Instruction limit
% 0.29/1.60 % (535871)Termination phase: Saturation
% 0.29/1.60 % (535871)Time elapsed: 0.006 s
% 0.29/1.60 % (535871)Peak memory usage: 88 MB
% 0.29/1.60 % (535871)Instructions burned: 4 (million)
% 0.29/1.60 % (535873)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2747835014:i=33:rtra=on_3000 on theBenchmark for (3000ds/33Mi)
% 0.29/1.60 % (535867)Instruction limit reached!
% 0.29/1.60 % (535867)------------------------------
% 0.29/1.60 % (535867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.29/1.60 % (535867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/1.60 % (535867)CaDiCaL version: 2.1.3
% 0.29/1.60 % (535867)Termination reason: Instruction limit
% 0.29/1.60 % (535867)Termination phase: Saturation
% 0.29/1.60 % (535867)Time elapsed: 0.041 s
% 0.29/1.60 % (535867)Peak memory usage: 112 MB
% 0.29/1.60 % (535867)Instructions burned: 12 (million)
% 0.29/1.60 % (535869)Also succeeded, but the first one will report.
% 0.29/1.60 % (535868)Refutation not found, incomplete strategy
% 0.29/1.60 % (535868)------------------------------
% 0.29/1.60 % (535868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.29/1.61 % (535868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/1.61 % (535868)CaDiCaL version: 2.1.3
% 0.29/1.61 % (535868)Termination reason: Refutation not found, incomplete strategy
% 0.29/1.61 % (535868)Time elapsed: 0.039 s
% 0.29/1.61 % (535868)Peak memory usage: 111 MB
% 0.29/1.61 % (535868)Instructions burned: 5 (million)
% 0.29/1.61 % (535873)Instruction limit reached!
% 0.29/1.61 % (535873)------------------------------
% 0.29/1.61 % (535873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.29/1.61 % (535873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/1.61 % (535873)CaDiCaL version: 2.1.3
% 0.29/1.61 % (535873)Termination reason: Instruction limit
% 0.29/1.61 % (535873)Termination phase: Saturation
% 0.29/1.61 % (535873)Time elapsed: 0.065 s
% 0.29/1.61 % (535873)Peak memory usage: 112 MB
% 0.29/1.61 % (535873)Instructions burned: 33 (million)
% 0.29/1.61 % (535872)------------------------------
% 0.29/1.61 % (535872)------------------------------
% 0.29/1.61 % (535883)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1080103480:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 0.29/1.61 % (535883)Refutation not found, incomplete strategy
% 0.29/1.61 % (535883)------------------------------
% 0.29/1.61 % (535883)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.29/1.61 % (535883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/1.61 % (535883)CaDiCaL version: 2.1.3
% 0.29/1.61 % (535883)Termination reason: Refutation not found, incomplete strategy
% 0.29/1.61 % (535883)Time elapsed: 0.001 s
% 0.29/1.61 % (535883)Peak memory usage: 88 MB
% 0.29/1.61 % (535884)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=144449175:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2997 on theBenchmark for (2997ds/29Mi)
% 0.29/1.61 % (535884)Instruction limit reached!
% 0.29/1.61 % (535884)------------------------------
% 0.29/1.61 % (535884)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.29/1.61 % (535884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/1.61 % (535884)CaDiCaL version: 2.1.3
% 0.29/1.61 % (535884)Termination reason: Instruction limit
% 0.29/1.61 % (535884)Termination phase: Saturation
% 0.29/1.61 % (535884)Time elapsed: 0.028 s
% 0.29/1.61 % (535884)Peak memory usage: 88 MB
% 0.29/1.61 % (535884)Instructions burned: 30 (million)
% 0.29/1.61 % (535887)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=2448132435:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 0.29/1.61 % (535887)Also succeeded, but the first one will report.
% 0.29/1.61 % (535888)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=944232742:i=24:canc=force:rtra=on_2995 on theBenchmark for (2995ds/24Mi)
% 0.29/1.61 % (535888)Instruction limit reached!
% 0.29/1.61 % (535888)------------------------------
% 0.29/1.61 % (535888)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.29/1.61 % (535888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/1.61 % (535888)CaDiCaL version: 2.1.3
% 0.29/1.61 % (535888)Termination reason: Instruction limit
% 0.29/1.61 % (535888)Termination phase: Saturation
% 0.29/1.61 % (535888)Time elapsed: 0.014 s
% 0.29/1.61 % (535888)Peak memory usage: 89 MB
% 0.29/1.61 % (535888)Instructions burned: 24 (million)
% 0.29/1.61 % (535870)Refutation found. Thanks to Tanya!
% 0.29/1.61 % SZS status Theorem for theBenchmark
% 0.29/1.61 % SZS output start Proof for theBenchmark
% See solution above
% 0.29/1.61 % (535870)------------------------------
% 0.29/1.61 % (535870)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.29/1.61 % (535870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/1.61 % (535870)CaDiCaL version: 2.1.3
% 0.29/1.61 % (535870)Termination reason: Refutation
% 0.29/1.61 % (535870)Time elapsed: 0.003 s
% 0.29/1.61 % (535870)Peak memory usage: 89 MB
% 0.29/1.61 % (535870)Instructions burned: 1 (million)
% 0.29/1.61 % (535870)------------------------------
% 0.29/1.61 % (535870)------------------------------
% 0.29/1.61 % (535853)Success in time 0.638 s
% 0.29/1.61 % Vampire exiting
%------------------------------------------------------------------------------