TSTP Solution File: ARI590_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI590_1 : TPTP v8.1.2. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n020.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 : Sun May 5 04:36:23 EDT 2024
% Result : Theorem 0.11s 0.34s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 25 ( 7 unt; 1 typ; 0 def)
% Number of atoms : 43 ( 20 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 36 ( 17 ~; 16 |; 2 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 106 ( 22 atm; 17 fun; 40 num; 27 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 : 7 ( 1 usr; 5 con; 0-2 aty)
% Number of variables : 27 ( 23 !; 4 ?; 27 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_4,type,
sK0: $int ).
tff(f81,plain,
$false,
inference(evaluation,[],[f78]) ).
tff(f78,plain,
( ( 1 = $sum(2,0) )
| ( 1 = -1 ) ),
inference(resolution,[],[f76,f42]) ).
tff(f42,plain,
! [X1: $int] :
( ~ $less(0,X1)
| ( 1 = X1 ) ),
inference(backward_demodulation,[],[f18,f40]) ).
tff(f40,plain,
1 = sK0,
inference(evaluation,[],[f37]) ).
tff(f37,plain,
sK0 = $sum(0,1),
inference(resolution,[],[f32,f8]) ).
tff(f8,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
tff(f32,plain,
! [X0: $int] :
( $less(X0,0)
| ( $sum(X0,1) = sK0 ) ),
inference(resolution,[],[f12,f18]) ).
tff(f12,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_147,[]) ).
tff(f18,plain,
! [X1: $int] :
( ~ $less(0,X1)
| ( sK0 = X1 ) ),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
! [X1: $int] :
( ( sK0 = X1 )
| ~ $less(0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f16]) ).
tff(f16,plain,
( ? [X0: $int] :
! [X1: $int] :
( ( X0 = X1 )
| ~ $less(0,X1) )
=> ! [X1: $int] :
( ( sK0 = X1 )
| ~ $less(0,X1) ) ),
introduced(choice_axiom,[]) ).
tff(f15,plain,
? [X0: $int] :
! [X1: $int] :
( ( X0 = X1 )
| ~ $less(0,X1) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int] :
? [X1: $int] :
( ( X0 != X1 )
& $less(0,X1) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int] :
? [X1: $int] :
( ( X0 != X1 )
& $less(0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exists_pos_X_noteq_Y) ).
tff(f76,plain,
! [X0: $int] :
( $less(X0,-1)
| ( 1 = $sum(2,X0) ) ),
inference(evaluation,[],[f72]) ).
tff(f72,plain,
! [X0: $int] :
( ( 1 = $sum($sum(X0,1),1) )
| $less(X0,-1) ),
inference(resolution,[],[f64,f12]) ).
tff(f64,plain,
! [X0: $int] :
( ~ $less(-1,X0)
| ( 1 = $sum(X0,1) ) ),
inference(resolution,[],[f63,f41]) ).
tff(f41,plain,
! [X0: $int] :
( $less(X0,0)
| ( 1 = $sum(X0,1) ) ),
inference(backward_demodulation,[],[f32,f40]) ).
tff(f63,plain,
! [X0: $int] :
( ~ $less(X0,0)
| ~ $less(-1,X0) ),
inference(evaluation,[],[f62]) ).
tff(f62,plain,
! [X0: $int] :
( ~ $less(X0,0)
| ~ $less($uminus(1),X0) ),
inference(superposition,[],[f14,f19]) ).
tff(f19,plain,
! [X0: $int] : ( 0 = $sum($uminus(X0),X0) ),
inference(superposition,[],[f7,f13]) ).
tff(f13,plain,
! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
introduced(theory_axiom_148,[]) ).
tff(f7,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_140,[]) ).
tff(f14,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(X0,1))
| ~ $less(X0,X1) ),
introduced(theory_axiom_161,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : ARI590_1 : TPTP v8.1.2. Released v5.1.0.
% 0.09/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n020.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 21:49:23 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % (16308)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34 % (16311)WARNING: value z3 for option sas not known
% 0.11/0.34 % (16311)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.34 % (16313)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.11/0.34 % (16312)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.34 % (16314)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.11/0.34 % (16310)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.34 % (16315)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.11/0.34 % (16309)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.34 % (16312)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.11/0.34 % (16312)Terminated due to inappropriate strategy.
% 0.11/0.34 % (16312)------------------------------
% 0.11/0.34 % (16312)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.34 % (16312)Termination reason: Inappropriate
% 0.11/0.34
% 0.11/0.34 % (16312)Memory used [KB]: 722
% 0.11/0.34 % (16312)Time elapsed: 0.002 s
% 0.11/0.34 % (16312)Instructions burned: 2 (million)
% 0.11/0.34 % (16310)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.11/0.34 % (16310)Terminated due to inappropriate strategy.
% 0.11/0.34 % (16310)------------------------------
% 0.11/0.34 % (16310)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.34 % (16310)Termination reason: Inappropriate
% 0.11/0.34
% 0.11/0.34 % (16310)Memory used [KB]: 722
% 0.11/0.34 % (16310)Time elapsed: 0.002 s
% 0.11/0.34 % (16309)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.11/0.34 % (16310)Instructions burned: 2 (million)
% 0.11/0.34 % (16309)Terminated due to inappropriate strategy.
% 0.11/0.34 % (16309)------------------------------
% 0.11/0.34 % (16309)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.34 % (16309)Termination reason: Inappropriate
% 0.11/0.34
% 0.11/0.34 % (16309)Memory used [KB]: 722
% 0.11/0.34 % (16309)Time elapsed: 0.002 s
% 0.11/0.34 % (16309)Instructions burned: 2 (million)
% 0.11/0.34 % (16312)------------------------------
% 0.11/0.34 % (16312)------------------------------
% 0.11/0.34 % (16309)------------------------------
% 0.11/0.34 % (16309)------------------------------
% 0.11/0.34 % (16310)------------------------------
% 0.11/0.34 % (16310)------------------------------
% 0.11/0.34 % (16314)First to succeed.
% 0.11/0.34 % (16314)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16308"
% 0.11/0.34 % (16314)Refutation found. Thanks to Tanya!
% 0.11/0.34 % SZS status Theorem for theBenchmark
% 0.11/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.34 % (16314)------------------------------
% 0.11/0.34 % (16314)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.34 % (16314)Termination reason: Refutation
% 0.11/0.34
% 0.11/0.34 % (16314)Memory used [KB]: 770
% 0.11/0.34 % (16314)Time elapsed: 0.004 s
% 0.11/0.34 % (16314)Instructions burned: 5 (million)
% 0.11/0.34 % (16308)Success in time 0.017 s
%------------------------------------------------------------------------------