%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI431_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 : n026.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 2.51s 0.93s
% Output : Refutation 2.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 24 ( 15 unt; 0 typ; 6 def)
% Number of atoms : 33 ( 24 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 15 ( 6 ~; 0 |; 2 &)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 49 ( 0 atm; 18 fun; 25 num; 6 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 : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 10 ( 3 usr; 7 con; 0-2 aty)
% Number of variables : 6 ( 5 !; 1 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_8,type,
sK0: $real ).
tff(func_def_9,type,
sF1: $real ).
tff(func_def_10,type,
sF2: $real ).
tff(f1,conjecture,
! [X0: $real] :
( ( $difference(X0,241/20) = 4/1 )
=> ( X0 = 321/20 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',real_difference_problem_7) ).
tff(f2,negated_conjecture,
~ ! [X0: $real] :
( ( $difference(X0,241/20) = 4/1 )
=> ( X0 = 321/20 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ! [X0: $real] :
( ( 4/1 = $sum(X0,$uminus(241/20)) )
=> ( X0 = 321/20 ) ),
inference(theory_normalization,[],[f2]) ).
tff(f4,plain,
! [X0: $real,X1: $real] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(definition,[],[tha_commutativity]) ).
tff(f15,plain,
? [X0: $real] :
( ( 4/1 = $sum(X0,$uminus(241/20)) )
& ( 321/20 != X0 ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f16,plain,
( ( 4/1 = $sum(sK0,$uminus(241/20)) )
& ( 321/20 != sK0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f15]) ).
tff(f17,plain,
321/20 != sK0,
inference(cnf_transformation,[],[f16]) ).
tff(f18,plain,
4/1 = $sum(sK0,$uminus(241/20)),
inference(cnf_transformation,[],[f16]) ).
tff(f19,definition,
sF1 = $uminus(241/20),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
tff(f20,plain,
$uminus(241/20) = sF1,
inference(reorient_equations,[],[f19]) ).
tff(f21,definition,
sF2 = $sum(sK0,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
tff(f22,plain,
$sum(sK0,sF1) = sF2,
inference(reorient_equations,[],[f21]) ).
tff(f23,plain,
4/1 = sF2,
inference(definition_folding,[],[f18,f22,f20]) ).
tff(f24,plain,
-241/20 = sF1,
inference(evaluation,[],[f20]) ).
tff(f25,plain,
sF2 = $sum(sF1,sK0),
inference(forward_demodulation,[],[f22,f4]) ).
tff(f27,definition,
( spl3_1
<=> ( 4/1 = sF2 ) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
tff(f30,plain,
spl3_1,
inference(avatar_split_clause,[],[f23,f27]) ).
tff(f32,definition,
( spl3_2
<=> ( 321/20 = sK0 ) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
tff(f35,plain,
~ spl3_2,
inference(avatar_split_clause,[],[f17,f32]) ).
tff(f37,definition,
( spl3_3
<=> ( -241/20 = sF1 ) ),
introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).
tff(f40,plain,
spl3_3,
inference(avatar_split_clause,[],[f24,f37]) ).
tff(f42,definition,
( spl3_4
<=> ( sF2 = $sum(sF1,sK0) ) ),
introduced(definition,[new_symbols(definition,[spl3_4])],[avatar_definition]) ).
tff(f45,plain,
spl3_4,
inference(avatar_split_clause,[],[f25,f42]) ).
tff(f46,plain,
$false,
inference(avatar_smt_refutation,[],[f45,f40,f35,f30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI431_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n026.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Mon Sep 28 20:52:42 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 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
% 2.51/0.93 % (49746)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 2.51/0.93 % (49831)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=285762346:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 2.51/0.93 % (49831)First to succeed.
% 2.51/0.93 % (49831)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-49746"
% 2.51/0.93 % (49824)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1912685686:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 2.51/0.93 % (49823)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=692710138:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 2.51/0.93 % (49829)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3430595302:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 2.51/0.93 % (49828)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3174026178:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 2.51/0.93 % (49827)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3477741367:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 2.51/0.93 % (49828)Instruction limit reached!
% 2.51/0.93 % (49828)------------------------------
% 2.51/0.93 % (49828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.51/0.93 % (49828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.93 % (49828)CaDiCaL version: 2.1.3
% 2.51/0.93 % (49828)Termination reason: Instruction limit
% 2.51/0.93 % (49828)Termination phase: Saturation
% 2.51/0.93 % (49828)Time elapsed: 0.004 s
% 2.51/0.93 % (49828)Peak memory usage: 89 MB
% 2.51/0.93 % (49828)Instructions burned: 4 (million)
% 2.51/0.93 % (49827)Instruction limit reached!
% 2.51/0.93 % (49827)------------------------------
% 2.51/0.93 % (49827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.51/0.93 % (49827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.93 % (49827)CaDiCaL version: 2.1.3
% 2.51/0.93 % (49827)Termination reason: Instruction limit
% 2.51/0.93 % (49827)Termination phase: Saturation
% 2.51/0.93 % (49827)Time elapsed: 0.008 s
% 2.51/0.93 % (49827)Peak memory usage: 88 MB
% 2.51/0.93 % (49827)Instructions burned: 7 (million)
% 2.51/0.93 % (49826)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=268551242:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 2.51/0.93 % (49829)Also succeeded, but the first one will report.
% 2.51/0.93 % (49823)Also succeeded, but the first one will report.
% 2.51/0.93 % (49824)Also succeeded, but the first one will report.
% 2.51/0.93 % (49826)Also succeeded, but the first one will report.
% 2.51/0.93 % (49863)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=3941984841:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.51/0.93 % (49863)Refutation not found, incomplete strategy
% 2.51/0.93 % (49863)------------------------------
% 2.51/0.93 % (49863)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.51/0.93 % (49863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.93 % (49863)CaDiCaL version: 2.1.3
% 2.51/0.93 % (49863)Termination reason: Refutation not found, incomplete strategy
% 2.51/0.93 % (49863)Time elapsed: 0.001 s
% 2.51/0.93 % (49863)Peak memory usage: 89 MB
% 2.51/0.93 % (49831)Refutation found. Thanks to Tanya!
% 2.51/0.93 % SZS status Theorem for theBenchmark
% 2.51/0.93 % SZS output start Proof for theBenchmark
% See solution above
% 2.51/0.93 % (49831)------------------------------
% 2.51/0.93 % (49831)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.51/0.93 % (49831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.93 % (49831)CaDiCaL version: 2.1.3
% 2.51/0.93 % (49831)Termination reason: Refutation
% 2.51/0.93 % (49831)Time elapsed: 0.020 s
% 2.51/0.93 % (49831)Peak memory usage: 116 MB
% 2.51/0.93 % (49831)Instructions burned: 9 (million)
% 2.51/0.93 % (49831)------------------------------
% 2.51/0.93 % (49831)------------------------------
% 2.51/0.93 % (49746)Success in time 0.312 s
% 2.51/0.93 % Vampire exiting
%------------------------------------------------------------------------------