%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI280_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 : n013.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 09:32:51 AM UTC 2026
% Result : Theorem 3.14s 1.25s
% Output : Refutation 3.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 5 unt; 0 typ; 2 def)
% Number of atoms : 19 ( 14 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 6 ~; 0 |; 2 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 37 ( 0 atm; 12 fun; 21 num; 4 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 : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 1 usr; 4 con; 0-2 aty)
% Number of variables : 4 ( 3 !; 1 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_6,type,
sK0: $rat ).
tff(f1,conjecture,
! [X0: $rat] :
( ( $difference(5/2,X0) = 15/8 )
=> ( X0 = 5/8 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rat_difference_problem_8) ).
tff(f2,negated_conjecture,
~ ! [X0: $rat] :
( ( $difference(5/2,X0) = 15/8 )
=> ( X0 = 5/8 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ! [X0: $rat] :
( ( 15/8 = $sum(5/2,$uminus(X0)) )
=> ( X0 = 5/8 ) ),
inference(theory_normalization,[],[f2]) ).
tff(f4,plain,
? [X0: $rat] :
( ( 5/8 != X0 )
& ( 15/8 = $sum(5/2,$uminus(X0)) ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f5,plain,
( ( 5/8 != sK0 )
& ( 15/8 = $sum(5/2,$uminus(sK0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f4]) ).
tff(f6,plain,
15/8 = $sum(5/2,$uminus(sK0)),
inference(cnf_transformation,[],[f5]) ).
tff(f7,plain,
5/8 != sK0,
inference(cnf_transformation,[],[f5]) ).
tff(f9,definition,
( spl1_1
<=> ( 15/8 = $sum(5/2,$uminus(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
tff(f12,plain,
spl1_1,
inference(avatar_split_clause,[],[f6,f9]) ).
tff(f14,definition,
( spl1_2
<=> ( 5/8 = sK0 ) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
tff(f17,plain,
~ spl1_2,
inference(avatar_split_clause,[],[f7,f14]) ).
tff(f18,plain,
$false,
inference(avatar_smt_refutation,[],[f17,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI280_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n013.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 20:45:21 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running first-order theorem proving
% 0.08/0.24 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
% 3.14/1.25 % (1546065)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.14/1.25 % (1546145)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2403706731:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.14/1.25 % (1546147)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1228455166:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.14/1.25 % (1546150)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2692985310:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.14/1.25 % (1546151)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=681001643:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.14/1.25 % (1546150)Instruction limit reached!
% 3.14/1.25 % (1546150)------------------------------
% 3.14/1.25 % (1546150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.14/1.25 % (1546150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.14/1.25 % (1546150)CaDiCaL version: 2.1.3
% 3.14/1.25 % (1546150)Termination reason: Instruction limit
% 3.14/1.25 % (1546150)Termination phase: Saturation
% 3.14/1.25 % (1546150)Time elapsed: 0.004 s
% 3.14/1.25 % (1546150)Peak memory usage: 89 MB
% 3.14/1.25 % (1546150)Instructions burned: 5 (million)
% 3.14/1.25 % (1546149)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3399014580:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.14/1.25 % (1546149)Instruction limit reached!
% 3.14/1.25 % (1546149)------------------------------
% 3.14/1.25 % (1546149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.14/1.25 % (1546149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.14/1.25 % (1546149)CaDiCaL version: 2.1.3
% 3.14/1.25 % (1546149)Termination reason: Instruction limit
% 3.14/1.25 % (1546149)Termination phase: Saturation
% 3.14/1.25 % (1546149)Time elapsed: 0.005 s
% 3.14/1.25 % (1546149)Peak memory usage: 88 MB
% 3.14/1.25 % (1546149)Instructions burned: 7 (million)
% 3.14/1.25 % (1546151)First to succeed.
% 3.14/1.25 % (1546151)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1546065"
% 3.14/1.25 % (1546153)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=4147539489:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.14/1.25 % (1546143)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1867075449:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.14/1.25 % (1546145)Also succeeded, but the first one will report.
% 3.14/1.25 % (1546153)Also succeeded, but the first one will report.
% 3.14/1.25 % (1546143)Also succeeded, but the first one will report.
% 3.14/1.25 % (1546147)Also succeeded, but the first one will report.
% 3.14/1.25 % (1546151)Refutation found. Thanks to Tanya!
% 3.14/1.25 % SZS status Theorem for theBenchmark
% 3.14/1.25 % SZS output start Proof for theBenchmark
% See solution above
% 3.14/1.25 % (1546151)------------------------------
% 3.14/1.25 % (1546151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.14/1.25 % (1546151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.14/1.25 % (1546151)CaDiCaL version: 2.1.3
% 3.14/1.25 % (1546151)Termination reason: Refutation
% 3.14/1.25 % (1546151)Time elapsed: 0.019 s
% 3.14/1.25 % (1546151)Peak memory usage: 115 MB
% 3.14/1.25 % (1546151)Instructions burned: 7 (million)
% 3.14/1.25 % (1546151)------------------------------
% 3.14/1.25 % (1546151)------------------------------
% 3.14/1.25 % (1546065)Success in time 0.366 s
% 3.14/1.25 % Vampire exiting
%------------------------------------------------------------------------------