TSTP Solution File: ARI613_1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ARI613_1 : TPTP v8.1.0. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -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 : Wed Aug 31 15:48:43 EDT 2022
% Result : Theorem 1.73s 0.74s
% Output : Refutation 1.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 8
% Syntax : Number of formulae : 28 ( 6 unt; 2 typ; 0 def)
% Number of atoms : 80 ( 13 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 93 ( 39 ~; 30 |; 15 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 165 ( 37 atm; 29 fun; 52 num; 47 var)
% Number of types : 2 ( 0 usr; 1 ari)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 0 usr; 4 con; 0-2 aty)
% Number of variables : 47 ( 41 !; 6 ?; 47 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_1,type,
p: $int > $o ).
tff(pred_def_2,type,
q: $int > $o ).
tff(f84,plain,
$false,
inference(evaluation,[],[f80]) ).
tff(f80,plain,
$less(1,$sum(1,$uminus(4))),
inference(resolution,[],[f76,f8]) ).
tff(f8,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_147,[]) ).
tff(f76,plain,
! [X0: $int] :
( $less(1,$sum(1,$uminus(X0)))
| $less(X0,4) ),
inference(forward_demodulation,[],[f74,f3]) ).
tff(f3,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_140,[]) ).
tff(f74,plain,
! [X0: $int] :
( $less(1,$sum($uminus(X0),1))
| $less(X0,4) ),
inference(resolution,[],[f65,f12]) ).
tff(f12,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_152,[]) ).
tff(f65,plain,
! [X0: $int] :
( ~ $less($uminus(X0),1)
| $less(X0,4) ),
inference(superposition,[],[f61,f13]) ).
tff(f13,plain,
! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
introduced(theory_axiom_153,[]) ).
tff(f61,plain,
! [X3: $int] :
( $less($uminus(X3),4)
| ~ $less(X3,1) ),
inference(evaluation,[],[f56]) ).
tff(f56,plain,
! [X3: $int] :
( $less($uminus(X3),$sum(3,1))
| ~ $less(X3,1) ),
inference(resolution,[],[f12,f29]) ).
tff(f29,plain,
! [X0: $int] :
( ~ $less(3,$uminus(X0))
| ~ $less(X0,1) ),
inference(superposition,[],[f28,f13]) ).
tff(f28,plain,
! [X0: $int] :
( ~ $less($uminus(X0),1)
| ~ $less(3,X0) ),
inference(trivial_inequality_removal,[],[f27]) ).
tff(f27,plain,
! [X0: $int] :
( ~ $less(3,X0)
| ~ $less($uminus(X0),1)
| ( 0 != 0 ) ),
inference(superposition,[],[f23,f7]) ).
tff(f7,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_145,[]) ).
tff(f23,plain,
! [X0: $int,X1: $int] :
( ( 0 != $sum(X1,X0) )
| ~ $less(X0,1)
| ~ $less(3,X1) ),
inference(resolution,[],[f22,f20]) ).
tff(f20,plain,
! [X1: $int] :
( p(X1)
| ~ $less(3,X1) ),
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
( ! [X0: $int] :
( q(X0)
| ~ $less(X0,1) )
& ! [X1: $int] :
( ~ $less(3,X1)
| p(X1) )
& ! [X2: $int,X3: $int] :
( ( 0 != $sum(X2,X3) )
| ~ q(X3)
| ~ p(X2) ) ),
inference(rectify,[],[f17]) ).
tff(f17,plain,
( ! [X1: $int] :
( q(X1)
| ~ $less(X1,1) )
& ! [X0: $int] :
( ~ $less(3,X0)
| p(X0) )
& ! [X2: $int,X3: $int] :
( ( 0 != $sum(X2,X3) )
| ~ q(X3)
| ~ p(X2) ) ),
inference(flattening,[],[f16]) ).
tff(f16,plain,
( ! [X2: $int,X3: $int] :
( ( 0 != $sum(X2,X3) )
| ~ q(X3)
| ~ p(X2) )
& ! [X0: $int] :
( ~ $less(3,X0)
| p(X0) )
& ! [X1: $int] :
( q(X1)
| ~ $less(X1,1) ) ),
inference(ennf_transformation,[],[f15]) ).
tff(f15,plain,
~ ( ( ! [X0: $int] :
( $less(3,X0)
=> p(X0) )
& ! [X1: $int] :
( $less(X1,1)
=> q(X1) ) )
=> ? [X2: $int,X3: $int] :
( ( 0 = $sum(X2,X3) )
& p(X2)
& q(X3) ) ),
inference(rectify,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ( ! [X0: $int] :
( $less(3,X0)
=> p(X0) )
& ! [X0: $int] :
( $less(X0,1)
=> q(X0) ) )
=> ? [X0: $int,X1: $int] :
( q(X1)
& p(X0)
& ( $sum(X0,X1) = 0 ) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ( ! [X0: $int] :
( $less(3,X0)
=> p(X0) )
& ! [X0: $int] :
( $less(X0,1)
=> q(X0) ) )
=> ? [X0: $int,X1: $int] :
( q(X1)
& p(X0)
& ( $sum(X0,X1) = 0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',interv_3_infty_and_neginfty_1_contain_compl) ).
tff(f22,plain,
! [X0: $int,X1: $int] :
( ~ p(X0)
| ~ $less(X1,1)
| ( $sum(X0,X1) != 0 ) ),
inference(resolution,[],[f19,f21]) ).
tff(f21,plain,
! [X0: $int] :
( q(X0)
| ~ $less(X0,1) ),
inference(cnf_transformation,[],[f18]) ).
tff(f19,plain,
! [X2: $int,X3: $int] :
( ~ q(X3)
| ~ p(X2)
| ( 0 != $sum(X2,X3) ) ),
inference(cnf_transformation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ARI613=1 : TPTP v8.1.0. Released v5.1.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 15:50:40 EDT 2022
% 0.13/0.34 % CPUTime :
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% 1.19/0.71 % (16305)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/498Mi)
% 1.19/0.71 % (16291)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 1.19/0.72 % (16291)Instruction limit reached!
% 1.19/0.72 % (16291)------------------------------
% 1.19/0.72 % (16291)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.19/0.72 % (16291)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.19/0.72 % (16291)Termination reason: Unknown
% 1.19/0.72 % (16291)Termination phase: Property scanning
% 1.19/0.72
% 1.19/0.72 % (16291)Memory used [KB]: 895
% 1.19/0.72 % (16291)Time elapsed: 0.004 s
% 1.19/0.72 % (16291)Instructions burned: 2 (million)
% 1.19/0.72 % (16291)------------------------------
% 1.19/0.72 % (16291)------------------------------
% 1.19/0.72 % (16289)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.19/0.72 % (16297)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/68Mi)
% 1.19/0.72 % (16307)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/482Mi)
% 1.19/0.73 % (16299)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99Mi)
% 1.73/0.73 % (16289)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.73/0.73 % (16289)Terminated due to inappropriate strategy.
% 1.73/0.73 % (16289)------------------------------
% 1.73/0.73 % (16289)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.73 % (16289)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.73 % (16289)Termination reason: Inappropriate
% 1.73/0.73
% 1.73/0.73 % (16289)Memory used [KB]: 895
% 1.73/0.73 % (16289)Time elapsed: 0.004 s
% 1.73/0.73 % (16289)Instructions burned: 1 (million)
% 1.73/0.73 % (16289)------------------------------
% 1.73/0.73 % (16289)------------------------------
% 1.73/0.73 % (16305)First to succeed.
% 1.73/0.74 % (16305)Refutation found. Thanks to Tanya!
% 1.73/0.74 % SZS status Theorem for theBenchmark
% 1.73/0.74 % SZS output start Proof for theBenchmark
% See solution above
% 1.73/0.74 % (16305)------------------------------
% 1.73/0.74 % (16305)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.74 % (16305)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.74 % (16305)Termination reason: Refutation
% 1.73/0.74
% 1.73/0.74 % (16305)Memory used [KB]: 895
% 1.73/0.74 % (16305)Time elapsed: 0.137 s
% 1.73/0.74 % (16305)Instructions burned: 5 (million)
% 1.73/0.74 % (16305)------------------------------
% 1.73/0.74 % (16305)------------------------------
% 1.73/0.74 % (16116)Success in time 0.386 s
%------------------------------------------------------------------------------