%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI307_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 09:32:54 AM UTC 2026
% Result : Theorem 3.89s 1.32s
% Output : Refutation 3.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 5 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 5 ( 4 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 16 ( 0 atm; 4 fun; 8 num; 4 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 : 3 ( 0 usr; 2 con; 0-2 aty)
% Number of variables : 4 ( 2 !; 2 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1,conjecture,
? [X0: $rat] : ( $product(X0,-4/5) = 3/4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rat_product_problem_24) ).
tff(f2,negated_conjecture,
~ ? [X0: $rat] : ( $product(X0,-4/5) = 3/4 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f20,plain,
! [X0: $rat] : ( $product(X0,-4/5) != 3/4 ),
inference(ennf_transformation,[],[f2]) ).
tff(f21,plain,
! [X0: $rat] : ( $product(X0,-4/5) != 3/4 ),
inference(cnf_transformation,[],[f20]) ).
tff(f22,plain,
$false,
inference(gaussian_variable_elimination,[],[f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ARI307_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n004.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 20:47:31 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 3.89/1.32 % (748292)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.89/1.32 % (748301)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=159836551:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.89/1.32 % (748301)Instruction limit reached!
% 3.89/1.32 % (748301)------------------------------
% 3.89/1.32 % (748301)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.89/1.32 % (748301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.89/1.32 % (748301)CaDiCaL version: 2.1.3
% 3.89/1.32 % (748301)Termination reason: Instruction limit
% 3.89/1.32 % (748301)Termination phase: Saturation
% 3.89/1.32 % (748301)Time elapsed: 0.003 s
% 3.89/1.32 % (748301)Peak memory usage: 89 MB
% 3.89/1.32 % (748301)Instructions burned: 8 (million)
% 3.89/1.32 % (748297)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1734395125:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.89/1.32 % (748303)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2630420049:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.89/1.32 % (748299)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=274810927:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.89/1.32 % (748298)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=4090985221:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.89/1.32 % (748300)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2679309024:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.89/1.32 % (748302)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1441287948:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.89/1.32 % (748300)Instruction limit reached!
% 3.89/1.32 % (748300)------------------------------
% 3.89/1.32 % (748300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.89/1.32 % (748300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.89/1.32 % (748300)CaDiCaL version: 2.1.3
% 3.89/1.32 % (748300)Termination reason: Instruction limit
% 3.89/1.32 % (748300)Termination phase: Saturation
% 3.89/1.32 % (748300)Time elapsed: 0.005 s
% 3.89/1.32 % (748300)Peak memory usage: 88 MB
% 3.89/1.32 % (748300)Instructions burned: 7 (million)
% 3.89/1.32 % (748297)First to succeed.
% 3.89/1.32 % (748298)Refutation not found, incomplete strategy
% 3.89/1.32 % (748298)------------------------------
% 3.89/1.32 % (748298)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.89/1.32 % (748298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.89/1.32 % (748302)Refutation not found, incomplete strategy
% 3.89/1.32 % (748302)------------------------------
% 3.89/1.32 % (748302)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.89/1.32 % (748302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.89/1.32 % (748298)CaDiCaL version: 2.1.3
% 3.89/1.32 % (748298)Termination reason: Refutation not found, incomplete strategy
% 3.89/1.32 % (748298)Time elapsed: 0.028 s
% 3.89/1.32 % (748302)CaDiCaL version: 2.1.3
% 3.89/1.32 % (748298)Peak memory usage: 111 MB
% 3.89/1.32 % (748302)Termination reason: Refutation not found, incomplete strategy
% 3.89/1.32 % (748302)Time elapsed: 0.028 s
% 3.89/1.32 % (748298)Instructions burned: 5 (million)
% 3.89/1.32 % (748302)Peak memory usage: 111 MB
% 3.89/1.32 % (748302)Instructions burned: 5 (million)
% 3.89/1.32 % (748297)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-748292"
% 3.89/1.32 % (748299)Also succeeded, but the first one will report.
% 3.89/1.32 % (748303)Instruction limit reached!
% 3.89/1.32 % (748303)------------------------------
% 3.89/1.32 % (748303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.89/1.32 % (748303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.89/1.32 % (748303)CaDiCaL version: 2.1.3
% 3.89/1.32 % (748303)Termination reason: Instruction limit
% 3.89/1.32 % (748303)Termination phase: Saturation
% 3.89/1.32 % (748303)Time elapsed: 0.043 s
% 3.89/1.32 % (748303)Peak memory usage: 112 MB
% 3.89/1.32 % (748303)Instructions burned: 34 (million)
% 3.89/1.32 % (748305)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1408470361:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.89/1.32 % (748305)Refutation not found, incomplete strategy
% 3.89/1.32 % (748305)------------------------------
% 3.89/1.32 % (748305)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.89/1.32 % (748305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.89/1.32 % (748305)CaDiCaL version: 2.1.3
% 3.89/1.32 % (748305)Termination reason: Refutation not found, incomplete strategy
% 3.89/1.32 % (748305)Time elapsed: 0.001 s
% 3.89/1.32 % (748305)Peak memory usage: 88 MB
% 3.89/1.32 % (748312)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=3338904715:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.89/1.32 % (748312)Instruction limit reached!
% 3.89/1.32 % (748312)------------------------------
% 3.89/1.32 % (748312)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.89/1.32 % (748312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.89/1.32 % (748312)CaDiCaL version: 2.1.3
% 3.89/1.32 % (748312)Termination reason: Instruction limit
% 3.89/1.32 % (748312)Termination phase: Saturation
% 3.89/1.32 % (748312)Time elapsed: 0.016 s
% 3.89/1.32 % (748312)Peak memory usage: 88 MB
% 3.89/1.32 % (748312)Instructions burned: 30 (million)
% 3.89/1.32 % (748313)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=3283348975:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 3.89/1.32 % (748313)Also succeeded, but the first one will report.
% 3.89/1.32 % (748305)------------------------------
% 3.89/1.32 % (748305)------------------------------
% 3.89/1.32 % (748302)------------------------------
% 3.89/1.32 % (748302)------------------------------
% 3.89/1.32 % (748298)------------------------------
% 3.89/1.32 % (748298)------------------------------
% 3.89/1.32 % (748297)Refutation found. Thanks to Tanya!
% 3.89/1.32 % SZS status Theorem for theBenchmark
% 3.89/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 3.89/1.32 % (748297)------------------------------
% 3.89/1.32 % (748297)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.89/1.32 % (748297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.89/1.32 % (748297)CaDiCaL version: 2.1.3
% 3.89/1.32 % (748297)Termination reason: Refutation
% 3.89/1.32 % (748297)Time elapsed: 0.028 s
% 3.89/1.32 % (748297)Peak memory usage: 112 MB
% 3.89/1.32 % (748297)Instructions burned: 5 (million)
% 3.89/1.32 % (748297)------------------------------
% 3.89/1.32 % (748297)------------------------------
% 3.89/1.32 % (748292)Success in time 0.457 s
% 3.89/1.32 % Vampire exiting
%------------------------------------------------------------------------------