%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI566_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 : n012.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 09:33:22 AM UTC 2026
% Result : Theorem 2.46s 0.75s
% Output : Refutation 2.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 7 ( 2 unt; 0 typ; 0 def)
% Number of atoms : 12 ( 5 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 8 ~; 3 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 41 ( 6 atm; 9 fun; 21 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 : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 0 usr; 6 con; 0-2 aty)
% Number of variables : 5 ( 3 !; 2 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1,conjecture,
? [X0: $real] :
( ( $product(X0,3/4) = 21/50 )
& $less(1/2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',real_combined_problem_17) ).
tff(f2,negated_conjecture,
~ ? [X0: $real] :
( ( $product(X0,3/4) = 21/50 )
& $less(1/2,X0) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f20,plain,
! [X0: $real] :
( ~ $less(1/2,X0)
| ( $product(X0,3/4) != 21/50 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f21,plain,
! [X0: $real] :
( ( $product(X0,3/4) != 21/50 )
| ~ $less(1/2,X0) ),
inference(cnf_transformation,[],[f20]) ).
tff(f22,plain,
! [X0: $real] :
( ( $product(X0,3/4) != 21/50 )
| ~ $less(0/1,$sum(X0,-1/2)) ),
inference(evaluation,[],[f21]) ).
tff(f23,plain,
~ $less(0/1,$sum($product(21/50,$quotient(1/1,3/4)),-1/2)),
inference(gaussian_variable_elimination,[],[f22]) ).
tff(f24,plain,
$false,
inference(evaluation,[],[f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ARI566_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Mon Sep 28 20:52:04 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.13 Running first-order theorem proving
% 0.09/0.13 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
% 2.46/0.75 % (3748064)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 2.46/0.75 % (3748073)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=4149938375:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 2.46/0.75 % (3748075)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1705033827:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 2.46/0.75 % (3748072)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3941774943:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 2.46/0.75 % (3748069)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3477469666:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 2.46/0.75 % (3748071)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=4229145525:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 2.46/0.75 % (3748070)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3253584266:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 2.46/0.75 % (3748074)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=4039600347:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 2.46/0.75 % (3748073)Instruction limit reached!
% 2.46/0.75 % (3748073)------------------------------
% 2.46/0.75 % (3748073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.46/0.75 % (3748073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.75 % (3748073)CaDiCaL version: 2.1.3
% 2.46/0.75 % (3748073)Termination reason: Instruction limit
% 2.46/0.75 % (3748073)Termination phase: Saturation
% 2.46/0.75 % (3748073)Time elapsed: 0.002 s
% 2.46/0.75 % (3748073)Peak memory usage: 88 MB
% 2.46/0.75 % (3748073)Instructions burned: 5 (million)
% 2.46/0.75 % (3748072)Instruction limit reached!
% 2.46/0.75 % (3748072)------------------------------
% 2.46/0.75 % (3748072)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.46/0.75 % (3748072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.75 % (3748072)CaDiCaL version: 2.1.3
% 2.46/0.75 % (3748072)Termination reason: Instruction limit
% 2.46/0.75 % (3748072)Termination phase: Saturation
% 2.46/0.75 % (3748072)Time elapsed: 0.003 s
% 2.46/0.75 % (3748072)Peak memory usage: 88 MB
% 2.46/0.75 % (3748072)Instructions burned: 9 (million)
% 2.46/0.75 % (3748069)First to succeed.
% 2.46/0.75 % (3748070)Refutation not found, incomplete strategy
% 2.46/0.75 % (3748070)------------------------------
% 2.46/0.75 % (3748070)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.46/0.75 % (3748070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.75 % (3748074)Refutation not found, incomplete strategy
% 2.46/0.75 % (3748074)------------------------------
% 2.46/0.75 % (3748074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.46/0.75 % (3748074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.75 % (3748074)CaDiCaL version: 2.1.3
% 2.46/0.75 % (3748070)CaDiCaL version: 2.1.3
% 2.46/0.75 % (3748070)Termination reason: Refutation not found, incomplete strategy
% 2.46/0.75 % (3748070)Time elapsed: 0.018 s
% 2.46/0.75 % (3748074)Termination reason: Refutation not found, incomplete strategy
% 2.46/0.75 % (3748074)Time elapsed: 0.018 s
% 2.46/0.75 % (3748070)Peak memory usage: 111 MB
% 2.46/0.75 % (3748074)Peak memory usage: 111 MB
% 2.46/0.75 % (3748070)Instructions burned: 5 (million)
% 2.46/0.75 % (3748074)Instructions burned: 5 (million)
% 2.46/0.75 % (3748069)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3748064"
% 2.46/0.75 % (3748071)Also succeeded, but the first one will report.
% 2.46/0.75 % (3748075)Instruction limit reached!
% 2.46/0.75 % (3748075)------------------------------
% 2.46/0.75 % (3748075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.46/0.75 % (3748075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.75 % (3748075)CaDiCaL version: 2.1.3
% 2.46/0.75 % (3748075)Termination reason: Instruction limit
% 2.46/0.75 % (3748075)Termination phase: Saturation
% 2.46/0.75 % (3748075)Time elapsed: 0.026 s
% 2.46/0.75 % (3748075)Peak memory usage: 111 MB
% 2.46/0.75 % (3748075)Instructions burned: 34 (million)
% 2.46/0.75 % (3748083)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1254684481:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.46/0.75 % (3748084)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=3744273109:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 2.46/0.75 % (3748083)Refutation not found, incomplete strategy
% 2.46/0.75 % (3748083)------------------------------
% 2.46/0.75 % (3748083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.46/0.75 % (3748083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.75 % (3748083)CaDiCaL version: 2.1.3
% 2.46/0.75 % (3748083)Termination reason: Refutation not found, incomplete strategy
% 2.46/0.75 % (3748083)Time elapsed: 0.001 s
% 2.46/0.75 % (3748083)Peak memory usage: 88 MB
% 2.46/0.75 % (3748084)Instruction limit reached!
% 2.46/0.75 % (3748084)------------------------------
% 2.46/0.75 % (3748084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.46/0.75 % (3748084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.75 % (3748084)CaDiCaL version: 2.1.3
% 2.46/0.75 % (3748084)Termination reason: Instruction limit
% 2.46/0.75 % (3748084)Termination phase: Saturation
% 2.46/0.75 % (3748084)Time elapsed: 0.008 s
% 2.46/0.75 % (3748084)Peak memory usage: 88 MB
% 2.46/0.75 % (3748084)Instructions burned: 30 (million)
% 2.46/0.75 % (3748085)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=1362866829:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 2.46/0.75 % (3748085)Also succeeded, but the first one will report.
% 2.46/0.75 % (3748074)------------------------------
% 2.46/0.75 % (3748074)------------------------------
% 2.46/0.75 % (3748070)------------------------------
% 2.46/0.75 % (3748070)------------------------------
% 2.46/0.75 % (3748069)Refutation found. Thanks to Tanya!
% 2.46/0.75 % SZS status Theorem for theBenchmark
% 2.46/0.75 % SZS output start Proof for theBenchmark
% See solution above
% 2.46/0.75 % (3748069)------------------------------
% 2.46/0.75 % (3748069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.46/0.75 % (3748069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.75 % (3748069)CaDiCaL version: 2.1.3
% 2.46/0.75 % (3748069)Termination reason: Refutation
% 2.46/0.75 % (3748069)Time elapsed: 0.018 s
% 2.46/0.75 % (3748069)Peak memory usage: 111 MB
% 2.46/0.75 % (3748069)Instructions burned: 5 (million)
% 2.46/0.75 % (3748069)------------------------------
% 2.46/0.75 % (3748069)------------------------------
% 2.46/0.75 % (3748064)Success in time 0.322 s
% 2.46/0.75 % Vampire exiting
%------------------------------------------------------------------------------