%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI434_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 : n006.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 09:33:08 AM UTC 2026
% Result : Theorem 3.04s 0.95s
% Output : Refutation 3.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 13 unt; 0 typ; 6 def)
% Number of atoms : 29 ( 7 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 5 ~; 0 |; 1 &)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 36 ( 0 atm; 13 fun; 23 num; 0 var)
% Number of types : 2 ( 0 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 9 ( 2 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_8,type,
sF0: $real ).
tff(func_def_9,type,
sF1: $real ).
tff(pred_def_1,type,
p: $real > $o ).
tff(f1,conjecture,
( p($difference(29/5,3/10))
=> p(11/2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',real_difference_problem_10) ).
tff(f2,negated_conjecture,
~ ( p($difference(29/5,3/10))
=> p(11/2) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ( p($sum(29/5,$uminus(3/10)))
=> p(11/2) ),
inference(theory_normalization,[],[f2]) ).
tff(f15,plain,
( p($sum(29/5,$uminus(3/10)))
& ~ p(11/2) ),
inference(ennf_transformation,[],[f3]) ).
tff(f16,plain,
~ p(11/2),
inference(cnf_transformation,[],[f15]) ).
tff(f17,plain,
p($sum(29/5,$uminus(3/10))),
inference(cnf_transformation,[],[f15]) ).
tff(f18,definition,
sF0 = $uminus(3/10),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
tff(f19,plain,
$uminus(3/10) = sF0,
inference(reorient_equations,[],[f18]) ).
tff(f20,definition,
sF1 = $sum(29/5,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
tff(f21,plain,
$sum(29/5,sF0) = sF1,
inference(reorient_equations,[],[f20]) ).
tff(f22,plain,
p(sF1),
inference(definition_folding,[],[f17,f21,f19]) ).
tff(f23,plain,
-3/10 = sF0,
inference(evaluation,[],[f19]) ).
tff(f25,definition,
( spl2_1
<=> p(11/2) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
tff(f28,plain,
~ spl2_1,
inference(avatar_split_clause,[],[f16,f25]) ).
tff(f30,definition,
( spl2_2
<=> ( -3/10 = sF0 ) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
tff(f33,plain,
spl2_2,
inference(avatar_split_clause,[],[f23,f30]) ).
tff(f35,definition,
( spl2_3
<=> ( $sum(29/5,sF0) = sF1 ) ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
tff(f38,plain,
spl2_3,
inference(avatar_split_clause,[],[f21,f35]) ).
tff(f40,definition,
( spl2_4
<=> p(sF1) ),
introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).
tff(f43,plain,
spl2_4,
inference(avatar_split_clause,[],[f22,f40]) ).
tff(f44,plain,
$false,
inference(avatar_smt_refutation,[],[f43,f38,f33,f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ARI434_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.18 % Computer : n006.cluster.edu
% 0.11/0.18 % Model : x86_64 x86_64
% 0.11/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.18 % Memory : 8046.5625MB
% 0.11/0.18 % OS : Linux 6.8.0-71-generic
% 0.11/0.18 % CPULimit : 300
% 0.11/0.18 % WCLimit : 300
% 0.11/0.18 % DateTime : Mon Sep 28 20:49:55 UTC 2026
% 0.11/0.18 % CPUTime :
% 0.11/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.22 Running first-order theorem proving
% 0.11/0.22 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
% 3.04/0.95 % (175192)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.04/0.95 % (175211)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=269623647:i=33:rtra=on_3000 on theBenchmark for (3000ds/33Mi)
% 3.04/0.95 % (175211)First to succeed.
% 3.04/0.95 % (175211)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-175192"
% 3.04/0.95 % (175208)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=565632014:s2a=on:i=7:rtra=on:inst=on_3000 on theBenchmark for (3000ds/7Mi)
% 3.04/0.95 % (175209)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3430009254:i=4:rtra=on_3000 on theBenchmark for (3000ds/4Mi)
% 3.04/0.95 % (175207)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=529495862:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_3000 on theBenchmark for (3000ds/201Mi)
% 3.04/0.95 % (175206)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1437833922:i=307:kws=precedence:nm=0:rtra=on_3000 on theBenchmark for (3000ds/307Mi)
% 3.04/0.95 % (175210)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1910851476:i=46:rtra=on_3000 on theBenchmark for (3000ds/46Mi)
% 3.04/0.95 % (175205)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2439171987:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_3000 on theBenchmark for (3000ds/12Mi)
% 3.04/0.95 % (175208)Also succeeded, but the first one will report.
% 3.04/0.95 % (175209)Also succeeded, but the first one will report.
% 3.04/0.95 % (175207)Also succeeded, but the first one will report.
% 3.04/0.95 % (175210)Also succeeded, but the first one will report.
% 3.04/0.95 % (175205)Also succeeded, but the first one will report.
% 3.04/0.95 % (175206)Also succeeded, but the first one will report.
% 3.04/0.95 % (175211)Refutation found. Thanks to Tanya!
% 3.04/0.95 % SZS status Theorem for theBenchmark
% 3.04/0.95 % SZS output start Proof for theBenchmark
% See solution above
% 3.04/0.95 % (175211)------------------------------
% 3.04/0.95 % (175211)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.04/0.95 % (175211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.04/0.95 % (175211)CaDiCaL version: 2.1.3
% 3.04/0.95 % (175211)Termination reason: Refutation
% 3.04/0.95 % (175211)Time elapsed: 0.020 s
% 3.04/0.95 % (175211)Peak memory usage: 116 MB
% 3.04/0.95 % (175211)Instructions burned: 9 (million)
% 3.04/0.95 % (175211)------------------------------
% 3.04/0.95 % (175211)------------------------------
% 3.04/0.95 % (175192)Success in time 0.373 s
% 3.04/0.95 % Vampire exiting
%------------------------------------------------------------------------------