%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI495_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 : n007.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 0.22s 1.30s
% Output : Refutation 0.22s
% 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: $real,X0: $real] : ( $sum($product(16/5,X0),$product(34/5,X1)) = 273/25 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',real_combined_problem_10) ).
tff(f2,negated_conjecture,
~ ? [X1: $real,X0: $real] : ( $sum($product(16/5,X0),$product(34/5,X1)) = 273/25 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f20,plain,
~ ? [X1: $real,X0: $real] : ( 273/25 = $sum($product(16/5,X1),$product(34/5,X0)) ),
inference(rectify,[],[f2]) ).
tff(f21,plain,
! [X0: $real,X1: $real] : ( 273/25 != $sum($product(16/5,X1),$product(34/5,X0)) ),
inference(ennf_transformation,[],[f20]) ).
tff(f22,plain,
! [X0: $real,X1: $real] : ( 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
% 0.00/0.03 % Problem : ARI495_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 % Computer : n007.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Mon Sep 28 20:48:26 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.24 Running first-order theorem proving
% 0.10/0.24 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
% 0.22/1.30 % (2801087)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 0.22/1.30 % (2801096)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1977024861:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 0.22/1.30 % (2801096)Instruction limit reached!
% 0.22/1.30 % (2801096)------------------------------
% 0.22/1.30 % (2801096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.22/1.30 % (2801096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/1.30 % (2801096)CaDiCaL version: 2.1.3
% 0.22/1.30 % (2801096)Termination reason: Instruction limit
% 0.22/1.30 % (2801096)Termination phase: Saturation
% 0.22/1.30 % (2801096)Time elapsed: 0.002 s
% 0.22/1.30 % (2801096)Peak memory usage: 88 MB
% 0.22/1.30 % (2801096)Instructions burned: 4 (million)
% 0.22/1.30 % (2801092)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=4138862471:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 0.22/1.30 % (2801094)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3624780277:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 0.22/1.30 % (2801093)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2515070776:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 0.22/1.30 % (2801095)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=117601445:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 0.22/1.30 % (2801095)Instruction limit reached!
% 0.22/1.30 % (2801095)------------------------------
% 0.22/1.30 % (2801095)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.22/1.30 % (2801095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/1.30 % (2801095)CaDiCaL version: 2.1.3
% 0.22/1.30 % (2801095)Termination reason: Instruction limit
% 0.22/1.30 % (2801095)Termination phase: Saturation
% 0.22/1.30 % (2801095)Time elapsed: 0.005 s
% 0.22/1.30 % (2801095)Peak memory usage: 88 MB
% 0.22/1.30 % (2801095)Instructions burned: 8 (million)
% 0.22/1.30 % (2801098)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2157746675:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 0.22/1.30 % (2801097)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=854476499:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 0.22/1.30 % (2801092)First to succeed.
% 0.22/1.30 % (2801092)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2801087"
% 0.22/1.30 % (2801093)Refutation not found, incomplete strategy
% 0.22/1.30 % (2801093)------------------------------
% 0.22/1.30 % (2801093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.22/1.30 % (2801093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/1.30 % (2801093)CaDiCaL version: 2.1.3
% 0.22/1.30 % (2801093)Termination reason: Refutation not found, incomplete strategy
% 0.22/1.30 % (2801093)Time elapsed: 0.026 s
% 0.22/1.30 % (2801093)Peak memory usage: 112 MB
% 0.22/1.30 % (2801093)Instructions burned: 5 (million)
% 0.22/1.30 % (2801094)Also succeeded, but the first one will report.
% 0.22/1.30 % (2801097)Refutation not found, incomplete strategy
% 0.22/1.30 % (2801097)------------------------------
% 0.22/1.30 % (2801097)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.22/1.30 % (2801097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/1.30 % (2801097)CaDiCaL version: 2.1.3
% 0.22/1.30 % (2801097)Termination reason: Refutation not found, incomplete strategy
% 0.22/1.30 % (2801097)Time elapsed: 0.027 s
% 0.22/1.30 % (2801097)Peak memory usage: 112 MB
% 0.22/1.30 % (2801097)Instructions burned: 5 (million)
% 0.22/1.30 % (2801100)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=965141595:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.22/1.30 % (2801100)Refutation not found, incomplete strategy
% 0.22/1.30 % (2801100)------------------------------
% 0.22/1.30 % (2801100)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.22/1.30 % (2801100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/1.30 % (2801100)CaDiCaL version: 2.1.3
% 0.22/1.30 % (2801100)Termination reason: Refutation not found, incomplete strategy
% 0.22/1.30 % (2801100)Time elapsed: 0.0000 s
% 0.22/1.30 % (2801100)Peak memory usage: 88 MB
% 0.22/1.30 % (2801098)Instruction limit reached!
% 0.22/1.30 % (2801098)------------------------------
% 0.22/1.30 % (2801098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.22/1.30 % (2801098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/1.30 % (2801098)CaDiCaL version: 2.1.3
% 0.22/1.30 % (2801098)Termination reason: Instruction limit
% 0.22/1.30 % (2801098)Termination phase: Saturation
% 0.22/1.30 % (2801098)Time elapsed: 0.044 s
% 0.22/1.30 % (2801098)Peak memory usage: 112 MB
% 0.22/1.30 % (2801098)Instructions burned: 34 (million)
% 0.22/1.30 % (2801107)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=982708150:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 0.22/1.30 % (2801107)Instruction limit reached!
% 0.22/1.30 % (2801107)------------------------------
% 0.22/1.30 % (2801107)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.22/1.30 % (2801107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/1.30 % (2801107)CaDiCaL version: 2.1.3
% 0.22/1.30 % (2801107)Termination reason: Instruction limit
% 0.22/1.30 % (2801107)Termination phase: Saturation
% 0.22/1.30 % (2801107)Time elapsed: 0.016 s
% 0.22/1.30 % (2801107)Peak memory usage: 88 MB
% 0.22/1.30 % (2801107)Instructions burned: 30 (million)
% 0.22/1.30 % (2801100)------------------------------
% 0.22/1.30 % (2801100)------------------------------
% 0.22/1.30 % (2801109)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=354751059:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 0.22/1.30 % (2801109)Also succeeded, but the first one will report.
% 0.22/1.30 % (2801092)Refutation found. Thanks to Tanya!
% 0.22/1.30 % SZS status Theorem for theBenchmark
% 0.22/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/1.30 % (2801092)------------------------------
% 0.22/1.30 % (2801092)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.22/1.30 % (2801092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/1.30 % (2801092)CaDiCaL version: 2.1.3
% 0.22/1.30 % (2801092)Termination reason: Refutation
% 0.22/1.30 % (2801092)Time elapsed: 0.028 s
% 0.22/1.30 % (2801092)Peak memory usage: 112 MB
% 0.22/1.30 % (2801092)Instructions burned: 5 (million)
% 0.22/1.30 % (2801092)------------------------------
% 0.22/1.30 % (2801092)------------------------------
% 0.22/1.30 % (2801087)Success in time 0.428 s
% 0.22/1.30 % Vampire exiting
%------------------------------------------------------------------------------