%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI730_1 : TPTP v9.3.1. Released v6.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 09:33:45 AM UTC 2026
% Result : Theorem 3.93s 1.49s
% Output : Refutation 3.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 7 unt; 0 typ; 3 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 9 ~; 0 |; 9 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number arithmetic : 45 ( 24 atm; 0 fun; 16 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 : 7 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 3 ( 1 usr; 3 con; 0-0 aty)
% Number of variables : 5 ( 3 !; 2 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_2,type,
sK0: $real ).
tff(f1,conjecture,
! [X0: $real] :
( ( $is_int(X0)
& $lesseq(X0,36/5) )
=> $lesseq(X0,7/1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove) ).
tff(f2,negated_conjecture,
~ ! [X0: $real] :
( ( $is_int(X0)
& $lesseq(X0,36/5) )
=> $lesseq(X0,7/1) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ! [X0: $real] :
( ( ~ $less(36/5,X0)
& $is_int(X0) )
=> ~ $less(7/1,X0) ),
inference(theory_normalization,[],[f2]) ).
tff(f4,plain,
? [X0: $real] :
( $less(7/1,X0)
& ~ $less(36/5,X0)
& $is_int(X0) ),
inference(ennf_transformation,[],[f3]) ).
tff(f5,plain,
? [X0: $real] :
( $is_int(X0)
& ~ $less(36/5,X0)
& $less(7/1,X0) ),
inference(flattening,[],[f4]) ).
tff(f6,plain,
( $is_int(sK0)
& ~ $less(36/5,sK0)
& $less(7/1,sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f5]) ).
tff(f7,plain,
$less(7/1,sK0),
inference(cnf_transformation,[],[f6]) ).
tff(f8,plain,
~ $less(36/5,sK0),
inference(cnf_transformation,[],[f6]) ).
tff(f9,plain,
$is_int(sK0),
inference(cnf_transformation,[],[f6]) ).
tff(f11,definition,
( spl1_1
<=> $less(36/5,sK0) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
tff(f14,plain,
~ spl1_1,
inference(avatar_split_clause,[],[f8,f11]) ).
tff(f16,definition,
( spl1_2
<=> $less(7/1,sK0) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
tff(f19,plain,
spl1_2,
inference(avatar_split_clause,[],[f7,f16]) ).
tff(f21,definition,
( spl1_3
<=> $is_int(sK0) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
tff(f24,plain,
spl1_3,
inference(avatar_split_clause,[],[f9,f21]) ).
tff(f25,plain,
$false,
inference(avatar_smt_refutation,[],[f24,f19,f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI730_1 : TPTP v9.3.1. Released v6.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.21 % Computer : n004.cluster.edu
% 0.10/0.21 % Model : x86_64 x86_64
% 0.10/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.21 % Memory : 8046.5625MB
% 0.10/0.21 % OS : Linux 6.8.0-71-generic
% 0.10/0.21 % CPULimit : 300
% 0.10/0.21 % WCLimit : 300
% 0.10/0.21 % DateTime : Mon Sep 28 21:01:37 UTC 2026
% 0.10/0.21 % CPUTime :
% 0.10/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.27 Running first-order theorem proving
% 0.10/0.27 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
% 3.93/1.49 % (770835)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.93/1.49 % (770843)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=457745014:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.93/1.49 % (770847)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2975536829:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.93/1.49 % (770843)First to succeed.
% 3.93/1.49 % (770843)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-770835"
% 3.93/1.49 % (770847)Also succeeded, but the first one will report.
% 3.93/1.49 % (770844)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=263286984:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.93/1.49 % (770842)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1227365938:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.93/1.49 % (770845)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2459940224:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.93/1.49 % (770848)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2874955659:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.93/1.49 % (770846)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2247873668:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.93/1.49 % (770846)Instruction limit reached!
% 3.93/1.49 % (770846)------------------------------
% 3.93/1.49 % (770846)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.93/1.49 % (770846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.93/1.49 % (770846)CaDiCaL version: 2.1.3
% 3.93/1.49 % (770846)Termination reason: Instruction limit
% 3.93/1.49 % (770846)Termination phase: Saturation
% 3.93/1.49 % (770846)Time elapsed: 0.006 s
% 3.93/1.49 % (770846)Peak memory usage: 88 MB
% 3.93/1.49 % (770846)Instructions burned: 5 (million)
% 3.93/1.49 % (770845)Instruction limit reached!
% 3.93/1.49 % (770845)------------------------------
% 3.93/1.49 % (770845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.93/1.49 % (770845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.93/1.49 % (770845)CaDiCaL version: 2.1.3
% 3.93/1.49 % (770845)Termination reason: Instruction limit
% 3.93/1.49 % (770845)Termination phase: Saturation
% 3.93/1.49 % (770845)Time elapsed: 0.009 s
% 3.93/1.49 % (770845)Peak memory usage: 88 MB
% 3.93/1.49 % (770845)Instructions burned: 7 (million)
% 3.93/1.49 % (770842)Also succeeded, but the first one will report.
% 3.93/1.49 % (770848)Also succeeded, but the first one will report.
% 3.93/1.49 % (770843)Refutation found. Thanks to Tanya!
% 3.93/1.49 % SZS status Theorem for theBenchmark
% 3.93/1.49 % SZS output start Proof for theBenchmark
% See solution above
% 3.93/1.49 % (770843)------------------------------
% 3.93/1.49 % (770843)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.93/1.49 % (770843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.93/1.49 % (770843)CaDiCaL version: 2.1.3
% 3.93/1.49 % (770843)Termination reason: Refutation
% 3.93/1.49 % (770843)Time elapsed: 0.027 s
% 3.93/1.49 % (770843)Peak memory usage: 115 MB
% 3.93/1.49 % (770843)Instructions burned: 8 (million)
% 3.93/1.49 % (770843)------------------------------
% 3.93/1.49 % (770843)------------------------------
% 3.93/1.49 % (770835)Success in time 0.441 s
% 3.93/1.49 % Vampire exiting
%------------------------------------------------------------------------------