TSTP Solution File: ARI201_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI201_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 10:34:47 EDT 2024
% Result : Theorem 0.15s 0.38s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 16 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 17 ( 5 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 5 ( 4 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 64 ( 11 atm; 21 fun; 11 num; 21 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 0 usr; 4 con; 0-2 aty)
% Number of variables : 21 ( 19 !; 2 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
tff(f183,plain,
$false,
inference(resolution,[],[f160,f15]) ).
tff(f15,plain,
! [X0: $rat] : ~ $less(X0,-13/4),
inference(cnf_transformation,[],[f14]) ).
tff(f14,plain,
! [X0: $rat] : ~ $less(X0,-13/4),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ? [X0: $rat] : $less(X0,-13/4),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
? [X0: $rat] : $less(X0,-13/4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rat_less_problem_12) ).
tff(f160,plain,
! [X0: $rat] : $less($sum(-1/1,X0),X0),
inference(evaluation,[],[f158]) ).
tff(f158,plain,
! [X0: $rat] : $less($sum($uminus(1/1),X0),X0),
inference(superposition,[],[f35,f121]) ).
tff(f121,plain,
! [X0: $rat,X1: $rat] : ( $sum(X0,$sum($uminus(X0),X1)) = X1 ),
inference(evaluation,[],[f101]) ).
tff(f101,plain,
! [X0: $rat,X1: $rat] : ( $sum(0/1,X1) = $sum(X0,$sum($uminus(X0),X1)) ),
inference(superposition,[],[f4,f7]) ).
tff(f7,plain,
! [X0: $rat] : ( 0/1 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_140,[]) ).
tff(f4,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_136,[]) ).
tff(f35,plain,
! [X0: $rat] : $less(X0,$sum(1/1,X0)),
inference(superposition,[],[f28,f3]) ).
tff(f3,plain,
! [X0: $rat,X1: $rat] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f28,plain,
! [X0: $rat] : $less(X0,$sum(X0,1/1)),
inference(resolution,[],[f12,f8]) ).
tff(f8,plain,
! [X0: $rat] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
tff(f12,plain,
! [X0: $rat,X1: $rat] :
( $less(X1,$sum(X0,1/1))
| $less(X0,X1) ),
introduced(theory_axiom_147,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ARI201_1 : TPTP v8.1.2. Released v5.0.0.
% 0.10/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n006.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 05:25:20 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (14147)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (14148)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37 % (14149)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37 % (14150)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.37 % (14152)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.37 % (14151)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.37 % (14153)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.37 % (14154)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37 % (14148)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.37 % (14149)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.37 % (14148)Terminated due to inappropriate strategy.
% 0.15/0.37 % (14148)------------------------------
% 0.15/0.37 % (14148)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.37 % (14148)Termination reason: Inappropriate
% 0.15/0.37 % (14149)Terminated due to inappropriate strategy.
% 0.15/0.37 % (14149)------------------------------
% 0.15/0.37 % (14149)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.37
% 0.15/0.37 % (14149)Termination reason: Inappropriate
% 0.15/0.37
% 0.15/0.37 % (14148)Memory used [KB]: 716
% 0.15/0.37 % (14149)Memory used [KB]: 716
% 0.15/0.37 % (14148)Time elapsed: 0.002 s
% 0.15/0.37 % (14149)Time elapsed: 0.002 s
% 0.15/0.37 % (14148)Instructions burned: 2 (million)
% 0.15/0.37 % (14149)Instructions burned: 2 (million)
% 0.15/0.37 % (14148)------------------------------
% 0.15/0.37 % (14148)------------------------------
% 0.15/0.37 % (14149)------------------------------
% 0.15/0.37 % (14149)------------------------------
% 0.15/0.37 % (14151)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.37 % (14151)Terminated due to inappropriate strategy.
% 0.15/0.37 % (14151)------------------------------
% 0.15/0.37 % (14151)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.37 % (14151)Termination reason: Inappropriate
% 0.15/0.37
% 0.15/0.37 % (14151)Memory used [KB]: 716
% 0.15/0.37 % (14151)Time elapsed: 0.002 s
% 0.15/0.37 % (14151)Instructions burned: 2 (million)
% 0.15/0.37 % (14151)------------------------------
% 0.15/0.37 % (14151)------------------------------
% 0.15/0.37 % (14154)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.37 % (14154)Terminated due to inappropriate strategy.
% 0.15/0.37 % (14154)------------------------------
% 0.15/0.37 % (14154)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.37 % (14154)Termination reason: Inappropriate
% 0.15/0.37
% 0.15/0.37 % (14154)Memory used [KB]: 716
% 0.15/0.37 % (14154)Time elapsed: 0.002 s
% 0.15/0.37 % (14154)Instructions burned: 2 (million)
% 0.15/0.37 % (14154)------------------------------
% 0.15/0.37 % (14154)------------------------------
% 0.15/0.38 % (14150)First to succeed.
% 0.15/0.38 % (14153)Also succeeded, but the first one will report.
% 0.15/0.38 % (14150)Refutation found. Thanks to Tanya!
% 0.15/0.38 % SZS status Theorem for theBenchmark
% 0.15/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38 % (14150)------------------------------
% 0.15/0.38 % (14150)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38 % (14150)Termination reason: Refutation
% 0.15/0.38
% 0.15/0.38 % (14150)Memory used [KB]: 839
% 0.15/0.38 % (14150)Time elapsed: 0.008 s
% 0.15/0.38 % (14150)Instructions burned: 9 (million)
% 0.15/0.38 % (14150)------------------------------
% 0.15/0.38 % (14150)------------------------------
% 0.15/0.38 % (14147)Success in time 0.022 s
%------------------------------------------------------------------------------