%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI257_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 : n018.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 09:32:48 AM UTC 2026
% Result : Theorem 0.30s 1.20s
% Output : Refutation 0.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 8 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 12 ( 11 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 4 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 24 ( 0 atm; 5 fun; 16 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 : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 1 usr; 4 con; 0-2 aty)
% Number of variables : 3 ( 2 !; 1 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_7,type,
sK0: $rat ).
tff(f1,conjecture,
! [X0: $rat] :
( ( $sum(17/4,23/4) = X0 )
=> ( X0 = 10/1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rat_sum_problem_12) ).
tff(f2,negated_conjecture,
~ ! [X0: $rat] :
( ( $sum(17/4,23/4) = X0 )
=> ( X0 = 10/1 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f14,plain,
? [X0: $rat] :
( ( $sum(17/4,23/4) = X0 )
& ( 10/1 != X0 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f15,plain,
( ( $sum(17/4,23/4) = sK0 )
& ( 10/1 != sK0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f14]) ).
tff(f16,plain,
10/1 != sK0,
inference(cnf_transformation,[],[f15]) ).
tff(f17,plain,
$sum(17/4,23/4) = sK0,
inference(cnf_transformation,[],[f15]) ).
tff(f18,plain,
10/1 = sK0,
inference(evaluation,[],[f17]) ).
tff(f19,plain,
$false,
inference(forward_subsumption_resolution,[],[f16,f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ARI257_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.28 % Computer : n018.cluster.edu
% 0.11/0.28 % Model : x86_64 x86_64
% 0.11/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.28 % Memory : 8046.5625MB
% 0.11/0.28 % OS : Linux 6.8.0-71-generic
% 0.11/0.28 % CPULimit : 300
% 0.11/0.28 % WCLimit : 300
% 0.11/0.28 % DateTime : Mon Sep 28 20:47:56 UTC 2026
% 0.28/0.28 % CPUTime :
% 0.28/0.28 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.28/0.32 Running first-order theorem proving
% 0.28/0.32 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
% 0.30/1.20 % (3752056)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 0.30/1.20 % (3752150)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1591387994:s2a=on:i=7:rtra=on:inst=on_3000 on theBenchmark for (3000ds/7Mi)
% 0.30/1.20 % (3752150)First to succeed.
% 0.30/1.20 % (3752150)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3752056"
% 0.30/1.20 % (3752146)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=4186843365:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_3000 on theBenchmark for (3000ds/12Mi)
% 0.30/1.20 % (3752151)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=165004259:i=4:rtra=on_3000 on theBenchmark for (3000ds/4Mi)
% 0.30/1.20 % (3752147)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=396183586:i=307:kws=precedence:nm=0:rtra=on_3000 on theBenchmark for (3000ds/307Mi)
% 0.30/1.20 % (3752153)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3464212419:i=46:rtra=on_3000 on theBenchmark for (3000ds/46Mi)
% 0.30/1.20 % (3752151)Also succeeded, but the first one will report.
% 0.30/1.20 % (3752149)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1250309228:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_3000 on theBenchmark for (3000ds/201Mi)
% 0.30/1.20 % (3752155)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3911725038:i=33:rtra=on_3000 on theBenchmark for (3000ds/33Mi)
% 0.30/1.20 % (3752146)Also succeeded, but the first one will report.
% 0.30/1.20 % (3752147)Also succeeded, but the first one will report.
% 0.30/1.20 % (3752153)Also succeeded, but the first one will report.
% 0.30/1.20 % (3752149)Also succeeded, but the first one will report.
% 0.30/1.20 % (3752155)Also succeeded, but the first one will report.
% 0.30/1.20 % (3752150)Refutation found. Thanks to Tanya!
% 0.30/1.20 % SZS status Theorem for theBenchmark
% 0.30/1.20 % SZS output start Proof for theBenchmark
% See solution above
% 0.30/1.20 % (3752150)------------------------------
% 0.30/1.20 % (3752150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.30/1.20 % (3752150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/1.20 % (3752150)CaDiCaL version: 2.1.3
% 0.30/1.20 % (3752150)Termination reason: Refutation
% 0.30/1.20 % (3752150)Time elapsed: 0.001 s
% 0.30/1.20 % (3752150)Peak memory usage: 89 MB
% 0.30/1.20 % (3752150)------------------------------
% 0.30/1.20 % (3752150)------------------------------
% 0.30/1.20 % (3752056)Success in time 0.26 s
% 0.30/1.20 % Vampire exiting
%------------------------------------------------------------------------------