%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI297_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 09:32:53 AM UTC 2026
% Result : Theorem 3.65s 1.29s
% Output : Refutation 3.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 5 unt; 0 typ; 2 def)
% Number of atoms : 17 ( 12 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 5 ~; 0 |; 2 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 27 ( 0 atm; 6 fun; 18 num; 3 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 : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 1 usr; 4 con; 0-2 aty)
% Number of variables : 3 ( 2 !; 1 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_8,type,
sK0: $rat ).
tff(f1,conjecture,
! [X0: $rat] :
( ( $product(X0,2/5) = 1/4 )
=> ( X0 = 5/8 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rat_product_problem_14) ).
tff(f2,negated_conjecture,
~ ! [X0: $rat] :
( ( $product(X0,2/5) = 1/4 )
=> ( X0 = 5/8 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f20,plain,
? [X0: $rat] :
( ( $product(X0,2/5) = 1/4 )
& ( 5/8 != X0 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f21,plain,
( ( 1/4 = $product(sK0,2/5) )
& ( 5/8 != sK0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f20]) ).
tff(f22,plain,
5/8 != sK0,
inference(cnf_transformation,[],[f21]) ).
tff(f23,plain,
1/4 = $product(sK0,2/5),
inference(cnf_transformation,[],[f21]) ).
tff(f25,definition,
( spl1_1
<=> ( 1/4 = $product(sK0,2/5) ) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
tff(f28,plain,
spl1_1,
inference(avatar_split_clause,[],[f23,f25]) ).
tff(f30,definition,
( spl1_2
<=> ( 5/8 = sK0 ) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
tff(f33,plain,
~ spl1_2,
inference(avatar_split_clause,[],[f22,f30]) ).
tff(f34,plain,
$false,
inference(avatar_smt_refutation,[],[f33,f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI297_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n004.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 20:46:55 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 3.65/1.29 % (746742)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.65/1.29 % (746750)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=148477231:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.65/1.29 % (746750)Instruction limit reached!
% 3.65/1.29 % (746750)------------------------------
% 3.65/1.29 % (746750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.29 % (746750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.29 % (746750)CaDiCaL version: 2.1.3
% 3.65/1.29 % (746750)Termination reason: Instruction limit
% 3.65/1.29 % (746750)Termination phase: Saturation
% 3.65/1.29 % (746750)Time elapsed: 0.003 s
% 3.65/1.29 % (746750)Peak memory usage: 88 MB
% 3.65/1.29 % (746750)Instructions burned: 9 (million)
% 3.65/1.29 % (746753)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1676515000:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.65/1.29 % (746751)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2650360116:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.65/1.29 % (746748)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3532371280:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.65/1.29 % (746749)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=271340823:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.65/1.29 % (746747)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1502427616:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.65/1.29 % (746751)Instruction limit reached!
% 3.65/1.29 % (746751)------------------------------
% 3.65/1.29 % (746751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.29 % (746751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.29 % (746751)CaDiCaL version: 2.1.3
% 3.65/1.29 % (746751)Termination reason: Instruction limit
% 3.65/1.29 % (746751)Termination phase: Saturation
% 3.65/1.29 % (746751)Time elapsed: 0.004 s
% 3.65/1.29 % (746751)Peak memory usage: 89 MB
% 3.65/1.29 % (746751)Instructions burned: 6 (million)
% 3.65/1.29 % (746752)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1143124020:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.65/1.29 % (746747)First to succeed.
% 3.65/1.29 % (746748)Also succeeded, but the first one will report.
% 3.65/1.29 % (746747)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-746742"
% 3.65/1.29 % (746753)Also succeeded, but the first one will report.
% 3.65/1.29 % (746752)Also succeeded, but the first one will report.
% 3.65/1.29 % (746755)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1916217914:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.65/1.29 % (746755)Refutation not found, incomplete strategy
% 3.65/1.29 % (746755)------------------------------
% 3.65/1.29 % (746755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.29 % (746755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.29 % (746755)CaDiCaL version: 2.1.3
% 3.65/1.29 % (746755)Termination reason: Refutation not found, incomplete strategy
% 3.65/1.29 % (746755)Time elapsed: 0.001 s
% 3.65/1.29 % (746755)Peak memory usage: 89 MB
% 3.65/1.29 % (746749)Instruction limit reached!
% 3.65/1.29 % (746749)------------------------------
% 3.65/1.29 % (746749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.29 % (746749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.29 % (746749)CaDiCaL version: 2.1.3
% 3.65/1.29 % (746749)Termination reason: Instruction limit
% 3.65/1.29 % (746749)Termination phase: Saturation
% 3.65/1.29 % (746749)Time elapsed: 0.122 s
% 3.65/1.29 % (746749)Peak memory usage: 114 MB
% 3.65/1.29 % (746749)Instructions burned: 202 (million)
% 3.65/1.29 % (746761)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=1650251052:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.65/1.29 % (746761)Instruction limit reached!
% 3.65/1.29 % (746761)------------------------------
% 3.65/1.29 % (746761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.29 % (746761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.29 % (746761)CaDiCaL version: 2.1.3
% 3.65/1.29 % (746761)Termination reason: Instruction limit
% 3.65/1.29 % (746761)Termination phase: Saturation
% 3.65/1.29 % (746761)Time elapsed: 0.016 s
% 3.65/1.29 % (746761)Peak memory usage: 88 MB
% 3.65/1.29 % (746761)Instructions burned: 30 (million)
% 3.65/1.29 % (746755)------------------------------
% 3.65/1.29 % (746755)------------------------------
% 3.65/1.29 % (746764)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=3514201019:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 3.65/1.29 % (746764)Refutation not found, incomplete strategy
% 3.65/1.29 % (746764)------------------------------
% 3.65/1.29 % (746764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.29 % (746764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.29 % (746764)CaDiCaL version: 2.1.3
% 3.65/1.29 % (746764)Termination reason: Refutation not found, incomplete strategy
% 3.65/1.29 % (746764)Time elapsed: 0.003 s
% 3.65/1.29 % (746764)Peak memory usage: 91 MB
% 3.65/1.29 % (746764)Instructions burned: 2 (million)
% 3.65/1.29 % (746766)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=2006210681:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 3.65/1.29 % (746747)Refutation found. Thanks to Tanya!
% 3.65/1.29 % SZS status Theorem for theBenchmark
% 3.65/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 3.65/1.29 % (746747)------------------------------
% 3.65/1.29 % (746747)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.29 % (746747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.29 % (746747)CaDiCaL version: 2.1.3
% 3.65/1.29 % (746747)Termination reason: Refutation
% 3.65/1.29 % (746747)Time elapsed: 0.031 s
% 3.65/1.29 % (746747)Peak memory usage: 115 MB
% 3.65/1.29 % (746747)Instructions burned: 8 (million)
% 3.65/1.29 % (746747)------------------------------
% 3.65/1.29 % (746747)------------------------------
% 3.65/1.29 % (746742)Success in time 0.436 s
% 3.65/1.29 % Vampire exiting
%------------------------------------------------------------------------------