TSTP Solution File: ARI163_1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ARI163_1 : TPTP v8.1.0. Released v5.0.0.
% 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 : n028.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 15:47:31 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 27 ( 14 unt; 1 typ; 0 def)
% Number of atoms : 48 ( 18 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 40 ( 18 ~; 7 |; 12 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 120 ( 29 atm; 21 fun; 51 num; 19 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 : 19 ( 16 !; 3 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_6,type,
sK0: $int ).
tff(f185,plain,
$false,
inference(evaluation,[],[f159]) ).
tff(f159,plain,
21 != $sum(21,0),
inference(backward_demodulation,[],[f19,f155]) ).
tff(f155,plain,
0 = sK0,
inference(resolution,[],[f132,f75]) ).
tff(f75,plain,
~ $less(sK0,0),
inference(resolution,[],[f64,f20]) ).
tff(f20,plain,
$less(-1,sK0),
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
( $less(sK0,1)
& $less(-1,sK0)
& ( 21 != $sum(21,sK0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f16,f17]) ).
tff(f17,plain,
( ? [X0: $int] :
( $less(X0,1)
& $less(-1,X0)
& ( 21 != $sum(21,X0) ) )
=> ( $less(sK0,1)
& $less(-1,sK0)
& ( 21 != $sum(21,sK0) ) ) ),
introduced(choice_axiom,[]) ).
tff(f16,plain,
? [X0: $int] :
( $less(X0,1)
& $less(-1,X0)
& ( 21 != $sum(21,X0) ) ),
inference(flattening,[],[f15]) ).
tff(f15,plain,
? [X0: $int] :
( ( 21 != $sum(21,X0) )
& $less(-1,X0)
& $less(X0,1) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int] :
( ( $less(-1,X0)
& $less(X0,1) )
=> ( 21 = $sum(21,X0) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int] :
( ( $less(-1,X0)
& $less(X0,1) )
=> ( 21 = $sum(21,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_something_0_samething) ).
tff(f64,plain,
! [X4: $int] :
( ~ $less(X4,0)
| ~ $less(-1,X4) ),
inference(evaluation,[],[f62]) ).
tff(f62,plain,
! [X4: $int] :
( ~ $less($uminus(1),X4)
| ~ $less(X4,0) ),
inference(superposition,[],[f14,f22]) ).
tff(f22,plain,
! [X0: $int] : ( $sum($uminus(X0),X0) = 0 ),
inference(superposition,[],[f7,f13]) ).
tff(f13,plain,
! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
introduced(theory_axiom_153,[]) ).
tff(f7,plain,
! [X0: $int] : ( $sum(X0,$uminus(X0)) = 0 ),
introduced(theory_axiom_145,[]) ).
tff(f14,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(X0,1))
| ~ $less(X0,X1) ),
introduced(theory_axiom_166,[]) ).
tff(f132,plain,
( $less(sK0,0)
| ( 0 = sK0 ) ),
inference(resolution,[],[f10,f66]) ).
tff(f66,plain,
~ $less(0,sK0),
inference(resolution,[],[f63,f21]) ).
tff(f21,plain,
$less(sK0,1),
inference(cnf_transformation,[],[f18]) ).
tff(f63,plain,
! [X5: $int] :
( ~ $less(X5,1)
| ~ $less(0,X5) ),
inference(superposition,[],[f14,f30]) ).
tff(f30,plain,
! [X0: $int] : ( $sum(0,X0) = X0 ),
inference(superposition,[],[f5,f3]) ).
tff(f3,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_140,[]) ).
tff(f5,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f10,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| ( X0 = X1 )
| $less(X0,X1) ),
introduced(theory_axiom_149,[]) ).
tff(f19,plain,
21 != $sum(21,sK0),
inference(cnf_transformation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ARI163=1 : TPTP v8.1.0. Released v5.0.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.33 % Computer : n028.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Mon Aug 29 15:32:17 EDT 2022
% 0.14/0.33 % CPUTime :
% 0.19/0.49 % (26010)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.49 % (26008)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.19/0.49 % (26009)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.19/0.50 % (26018)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.19/0.50 % (26016)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 0.19/0.50 % (26008)Instruction limit reached!
% 0.19/0.50 % (26008)------------------------------
% 0.19/0.50 % (26008)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (26001)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/191324Mi)
% 0.19/0.50 % (26008)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (26008)Termination reason: Unknown
% 0.19/0.50 % (26008)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (26008)Memory used [KB]: 5500
% 0.19/0.50 % (26008)Time elapsed: 0.099 s
% 0.19/0.50 % (26008)Instructions burned: 7 (million)
% 0.19/0.50 % (26008)------------------------------
% 0.19/0.50 % (26008)------------------------------
% 0.19/0.50 % (26010)First to succeed.
% 0.19/0.50 % (26026)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.19/0.50 % (26001)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.50 % (26001)Terminated due to inappropriate strategy.
% 0.19/0.50 % (26001)------------------------------
% 0.19/0.50 % (26001)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (26001)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (26001)Termination reason: Inappropriate
% 0.19/0.50
% 0.19/0.50 % (26001)Memory used [KB]: 895
% 0.19/0.50 % (26001)Time elapsed: 0.002 s
% 0.19/0.50 % (26001)Instructions burned: 1 (million)
% 0.19/0.50 % (26001)------------------------------
% 0.19/0.50 % (26001)------------------------------
% 0.19/0.51 % (26010)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (26010)------------------------------
% 0.19/0.51 % (26010)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (26010)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (26010)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (26010)Memory used [KB]: 1023
% 0.19/0.51 % (26010)Time elapsed: 0.106 s
% 0.19/0.51 % (26010)Instructions burned: 6 (million)
% 0.19/0.51 % (26010)------------------------------
% 0.19/0.51 % (26010)------------------------------
% 0.19/0.51 % (26000)Success in time 0.164 s
%------------------------------------------------------------------------------