%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI411_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 : 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 09:33:05 AM UTC 2026
% Result : Theorem 0.21s 1.30s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 9 unt; 0 typ; 4 def)
% Number of atoms : 23 ( 16 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 5 ~; 0 |; 2 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 32 ( 0 atm; 8 fun; 21 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 : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 6 ( 2 usr; 5 con; 0-2 aty)
% Number of variables : 3 ( 2 !; 1 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_4,type,
sK0: $real ).
tff(func_def_5,type,
sF1: $real ).
tff(f1,conjecture,
! [X0: $real] :
( ( $sum(17/4,X0) = 10/1 )
=> ( X0 = 23/4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',real_sum_problem_11) ).
tff(f2,negated_conjecture,
~ ! [X0: $real] :
( ( $sum(17/4,X0) = 10/1 )
=> ( X0 = 23/4 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
? [X0: $real] :
( ( $sum(17/4,X0) = 10/1 )
& ( 23/4 != X0 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f4,plain,
( ( 10/1 = $sum(17/4,sK0) )
& ( 23/4 != sK0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f3]) ).
tff(f5,plain,
23/4 != sK0,
inference(cnf_transformation,[],[f4]) ).
tff(f6,plain,
10/1 = $sum(17/4,sK0),
inference(cnf_transformation,[],[f4]) ).
tff(f7,definition,
sF1 = $sum(17/4,sK0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
tff(f8,plain,
$sum(17/4,sK0) = sF1,
inference(reorient_equations,[],[f7]) ).
tff(f9,plain,
10/1 = sF1,
inference(definition_folding,[],[f6,f8]) ).
tff(f11,definition,
( spl2_1
<=> ( 23/4 = sK0 ) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
tff(f14,plain,
~ spl2_1,
inference(avatar_split_clause,[],[f5,f11]) ).
tff(f16,definition,
( spl2_2
<=> ( 10/1 = sF1 ) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
tff(f19,plain,
spl2_2,
inference(avatar_split_clause,[],[f9,f16]) ).
tff(f21,definition,
( spl2_3
<=> ( $sum(17/4,sK0) = sF1 ) ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
tff(f24,plain,
spl2_3,
inference(avatar_split_clause,[],[f8,f21]) ).
tff(f25,plain,
$false,
inference(avatar_smt_refutation,[],[f24,f19,f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI411_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n026.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 20:52:27 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running first-order theorem proving
% 0.08/0.24 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
% 0.21/1.30 % (49195)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 0.21/1.30 % (49204)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3600958759:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 0.21/1.30 % (49204)Instruction limit reached!
% 0.21/1.30 % (49204)------------------------------
% 0.21/1.30 % (49204)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.30 % (49204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.30 % (49204)CaDiCaL version: 2.1.3
% 0.21/1.30 % (49204)Termination reason: Instruction limit
% 0.21/1.30 % (49204)Termination phase: Saturation
% 0.21/1.30 % (49204)Time elapsed: 0.002 s
% 0.21/1.30 % (49204)Peak memory usage: 89 MB
% 0.21/1.30 % (49204)Instructions burned: 4 (million)
% 0.21/1.30 % (49201)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3252084790:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 0.21/1.30 % (49202)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2400096580:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 0.21/1.30 % (49203)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3824024134:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 0.21/1.30 % (49200)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2978212717:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 0.21/1.30 % (49203)Instruction limit reached!
% 0.21/1.30 % (49203)------------------------------
% 0.21/1.30 % (49203)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.30 % (49203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.30 % (49203)CaDiCaL version: 2.1.3
% 0.21/1.30 % (49203)Termination reason: Instruction limit
% 0.21/1.30 % (49203)Termination phase: Saturation
% 0.21/1.30 % (49203)Time elapsed: 0.005 s
% 0.21/1.30 % (49203)Peak memory usage: 88 MB
% 0.21/1.30 % (49203)Instructions burned: 8 (million)
% 0.21/1.30 % (49206)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3463951101:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 0.21/1.30 % (49205)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=113198298:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 0.21/1.30 % (49201)First to succeed.
% 0.21/1.30 % (49201)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-49195"
% 0.21/1.30 % (49200)Also succeeded, but the first one will report.
% 0.21/1.30 % (49205)Also succeeded, but the first one will report.
% 0.21/1.30 % (49206)Also succeeded, but the first one will report.
% 0.21/1.30 % (49208)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=2920216501:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.21/1.30 % (49208)Refutation not found, incomplete strategy
% 0.21/1.30 % (49208)------------------------------
% 0.21/1.30 % (49208)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.30 % (49208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.30 % (49208)CaDiCaL version: 2.1.3
% 0.21/1.30 % (49208)Termination reason: Refutation not found, incomplete strategy
% 0.21/1.30 % (49208)Time elapsed: 0.001 s
% 0.21/1.30 % (49208)Peak memory usage: 88 MB
% 0.21/1.30 % (49202)Also succeeded, but the first one will report.
% 0.21/1.30 % (49213)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=2725412454:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 0.21/1.30 % (49213)Instruction limit reached!
% 0.21/1.30 % (49213)------------------------------
% 0.21/1.30 % (49213)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.30 % (49213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.30 % (49213)CaDiCaL version: 2.1.3
% 0.21/1.30 % (49213)Termination reason: Instruction limit
% 0.21/1.30 % (49213)Termination phase: Saturation
% 0.21/1.30 % (49213)Time elapsed: 0.016 s
% 0.21/1.30 % (49213)Peak memory usage: 88 MB
% 0.21/1.30 % (49213)Instructions burned: 30 (million)
% 0.21/1.30 % (49201)Refutation found. Thanks to Tanya!
% 0.21/1.30 % SZS status Theorem for theBenchmark
% 0.21/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/1.31 % (49201)------------------------------
% 0.21/1.31 % (49201)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.31 % (49201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.31 % (49201)CaDiCaL version: 2.1.3
% 0.21/1.31 % (49201)Termination reason: Refutation
% 0.21/1.31 % (49201)Time elapsed: 0.032 s
% 0.21/1.31 % (49201)Peak memory usage: 115 MB
% 0.21/1.31 % (49201)Instructions burned: 8 (million)
% 0.21/1.31 % (49201)------------------------------
% 0.21/1.31 % (49201)------------------------------
% 0.21/1.31 % (49195)Success in time 0.432 s
% 0.21/1.31 % Vampire exiting
%------------------------------------------------------------------------------