%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI427_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 : n016.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 09:33:07 AM UTC 2026
% Result : Theorem 2.89s 1.18s
% Output : Refutation 2.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 14 unt; 0 typ; 5 def)
% Number of atoms : 20 ( 13 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 6 ~; 0 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of FOOLs : 2 ( 2 fml; 0 var)
% Number arithmetic : 35 ( 0 atm; 12 fun; 23 num; 0 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 : 5 ( 3 usr; 4 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(f1,conjecture,
$difference(25/4,17/4) = 2/1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',real_difference_problem_3) ).
tff(f2,negated_conjecture,
( ( ~ $difference(25/4,17/4) ) = 2/1 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
( ( ~ 2/1 ) = $sum(25/4,$uminus(17/4)) ),
inference(theory_normalization,[],[f2]) ).
tff(f15,plain,
2/1 != $sum(25/4,$uminus(17/4)),
inference(flattening,[],[f3]) ).
tff(f16,plain,
2/1 != $sum(25/4,$uminus(17/4)),
inference(cnf_transformation,[],[f15]) ).
tff(f17,definition,
sF0 = $uminus(17/4),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
tff(f18,plain,
$uminus(17/4) = sF0,
inference(reorient_equations,[],[f17]) ).
tff(f19,definition,
sF1 = $sum(25/4,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
tff(f20,plain,
2/1 != sF1,
inference(definition_folding,[],[f16,f19,f18]) ).
tff(f21,plain,
-17/4 = sF0,
inference(evaluation,[],[f18]) ).
tff(f23,definition,
( spl2_1
<=> ( 2/1 = sF1 ) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
tff(f26,plain,
~ spl2_1,
inference(avatar_split_clause,[],[f20,f23]) ).
tff(f28,definition,
( spl2_2
<=> ( sF1 = $sum(25/4,sF0) ) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
tff(f31,plain,
spl2_2,
inference(avatar_split_clause,[],[f19,f28]) ).
tff(f33,definition,
( spl2_3
<=> ( -17/4 = sF0 ) ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
tff(f36,plain,
spl2_3,
inference(avatar_split_clause,[],[f21,f33]) ).
tff(f37,plain,
$false,
inference(avatar_smt_refutation,[],[f36,f31,f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI427_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.19 % Computer : n016.cluster.edu
% 0.14/0.19 % Model : x86_64 x86_64
% 0.14/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.19 % Memory : 8046.5625MB
% 0.14/0.19 % OS : Linux 6.8.0-71-generic
% 0.14/0.19 % CPULimit : 300
% 0.14/0.19 % WCLimit : 300
% 0.14/0.19 % DateTime : Mon Sep 28 20:54:33 UTC 2026
% 0.14/0.19 % CPUTime :
% 0.14/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.22 Running first-order theorem proving
% 0.14/0.22 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
% 2.89/1.18 % (3984758)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 2.89/1.18 % (3984913)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2416211041:i=33:rtra=on_3000 on theBenchmark for (3000ds/33Mi)
% 2.89/1.18 % (3984913)First to succeed.
% 2.89/1.18 % (3984913)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3984758"
% 2.89/1.18 % (3984907)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1787296338:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_3000 on theBenchmark for (3000ds/12Mi)
% 2.89/1.18 % (3984911)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1535547762:i=4:rtra=on_3000 on theBenchmark for (3000ds/4Mi)
% 2.89/1.18 % (3984908)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1991361777:i=307:kws=precedence:nm=0:rtra=on_3000 on theBenchmark for (3000ds/307Mi)
% 2.89/1.18 % (3984909)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2238535346:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_3000 on theBenchmark for (3000ds/201Mi)
% 2.89/1.18 % (3984910)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1258379772:s2a=on:i=7:rtra=on:inst=on_3000 on theBenchmark for (3000ds/7Mi)
% 2.89/1.18 % (3984910)Also succeeded, but the first one will report.
% 2.89/1.18 % (3984911)Also succeeded, but the first one will report.
% 2.89/1.18 % (3984909)Also succeeded, but the first one will report.
% 2.89/1.18 % (3984907)Also succeeded, but the first one will report.
% 2.89/1.18 % (3984908)Also succeeded, but the first one will report.
% 2.89/1.18 % (3984912)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2130580541:i=46:rtra=on_3000 on theBenchmark for (3000ds/46Mi)
% 2.89/1.18 % (3984912)Also succeeded, but the first one will report.
% 2.89/1.18 % (3984913)Refutation found. Thanks to Tanya!
% 2.89/1.18 % SZS status Theorem for theBenchmark
% 2.89/1.18 % SZS output start Proof for theBenchmark
% See solution above
% 2.89/1.18 % (3984913)------------------------------
% 2.89/1.18 % (3984913)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.89/1.18 % (3984913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/1.18 % (3984913)CaDiCaL version: 2.1.3
% 2.89/1.18 % (3984913)Termination reason: Refutation
% 2.89/1.18 % (3984913)Time elapsed: 0.020 s
% 2.89/1.18 % (3984913)Peak memory usage: 116 MB
% 2.89/1.18 % (3984913)Instructions burned: 8 (million)
% 2.89/1.18 % (3984913)------------------------------
% 2.89/1.19 % (3984913)------------------------------
% 2.89/1.19 % (3984758)Success in time 0.311 s
% 2.89/1.19 % Vampire exiting
%------------------------------------------------------------------------------