TSTP Solution File: NUM900_1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM900_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 : n011.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 18:07:09 EDT 2022
% Result : Theorem 1.60s 0.73s
% Output : Refutation 1.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of formulae : 42 ( 11 unt; 3 typ; 0 def)
% Number of atoms : 80 ( 19 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 69 ( 28 ~; 19 |; 15 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 130 ( 42 atm; 32 fun; 21 num; 35 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 7 ( 3 usr; 4 con; 0-2 aty)
% Number of variables : 35 ( 23 !; 12 ?; 35 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_5,type,
sK0: $int ).
tff(func_def_6,type,
sK1: $int ).
tff(func_def_7,type,
sK2: $int ).
tff(f312,plain,
$false,
inference(avatar_sat_refutation,[],[f88,f97,f263,f311]) ).
tff(f311,plain,
~ spl3_8,
inference(avatar_contradiction_clause,[],[f309]) ).
tff(f309,plain,
( $false
| ~ spl3_8 ),
inference(resolution,[],[f261,f68]) ).
tff(f68,plain,
~ $less(sK2,0),
inference(resolution,[],[f59,f9]) ).
tff(f9,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_147,[]) ).
tff(f59,plain,
! [X0: $int] :
( $less(X0,sK2)
| ~ $less(X0,0) ),
inference(resolution,[],[f10,f22]) ).
tff(f22,plain,
$less(0,sK2),
inference(cnf_transformation,[],[f20]) ).
tff(f20,plain,
( ( $sum(sK1,$uminus(sK0)) = sK2 )
& $less(0,sK2)
& ~ $less(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f18,f19]) ).
tff(f19,plain,
( ? [X0: $int,X1: $int,X2: $int] :
( ( $sum(X1,$uminus(X0)) = X2 )
& $less(0,X2)
& ~ $less(X0,X1) )
=> ( ( $sum(sK1,$uminus(sK0)) = sK2 )
& $less(0,sK2)
& ~ $less(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
tff(f18,plain,
? [X0: $int,X1: $int,X2: $int] :
( ( $sum(X1,$uminus(X0)) = X2 )
& $less(0,X2)
& ~ $less(X0,X1) ),
inference(rectify,[],[f17]) ).
tff(f17,plain,
? [X1: $int,X0: $int,X2: $int] :
( ( $sum(X0,$uminus(X1)) = X2 )
& $less(0,X2)
& ~ $less(X1,X0) ),
inference(flattening,[],[f16]) ).
tff(f16,plain,
? [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X0)
& $less(0,X2)
& ( $sum(X0,$uminus(X1)) = X2 ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ! [X2: $int,X0: $int,X1: $int] :
( ( $less(0,X2)
& ( $sum(X0,$uminus(X1)) = X2 ) )
=> $less(X1,X0) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int,X1: $int,X2: $int] :
( ( $less(0,X2)
& ( $difference(X0,X1) = X2 ) )
=> $less(X1,X0) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int,X1: $int,X2: $int] :
( ( $less(0,X2)
& ( $difference(X0,X1) = X2 ) )
=> $less(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_greater) ).
tff(f10,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| ~ $less(X0,X1)
| $less(X0,X2) ),
introduced(theory_axiom_148,[]) ).
tff(f261,plain,
( $less(sK2,0)
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f259]) ).
tff(f259,plain,
( spl3_8
<=> $less(sK2,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
tff(f263,plain,
( spl3_8
| ~ spl3_1 ),
inference(avatar_split_clause,[],[f243,f80,f259]) ).
tff(f80,plain,
( spl3_1
<=> $less(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
tff(f243,plain,
( ~ $less(sK1,sK0)
| $less(sK2,0) ),
inference(evaluation,[],[f241]) ).
tff(f241,plain,
( ~ $less(sK1,$uminus($uminus(sK0)))
| $less(sK2,0) ),
inference(superposition,[],[f127,f24]) ).
tff(f24,plain,
! [X0: $int] : ( 0 = $sum($uminus(X0),X0) ),
inference(superposition,[],[f8,f14]) ).
tff(f14,plain,
! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
introduced(theory_axiom_153,[]) ).
tff(f8,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_145,[]) ).
tff(f127,plain,
! [X17: $int] :
( $less(sK2,$sum(X17,$uminus(sK0)))
| ~ $less(sK1,X17) ),
inference(superposition,[],[f12,f23]) ).
tff(f23,plain,
$sum(sK1,$uminus(sK0)) = sK2,
inference(cnf_transformation,[],[f20]) ).
tff(f12,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) ),
introduced(theory_axiom_150,[]) ).
tff(f97,plain,
~ spl3_2,
inference(avatar_contradiction_clause,[],[f96]) ).
tff(f96,plain,
( $false
| ~ spl3_2 ),
inference(evaluation,[],[f95]) ).
tff(f95,plain,
( $less(0,0)
| ~ spl3_2 ),
inference(backward_demodulation,[],[f22,f91]) ).
tff(f91,plain,
( ( 0 = sK2 )
| ~ spl3_2 ),
inference(forward_demodulation,[],[f89,f8]) ).
tff(f89,plain,
( ( $sum(sK0,$uminus(sK0)) = sK2 )
| ~ spl3_2 ),
inference(backward_demodulation,[],[f23,f86]) ).
tff(f86,plain,
( ( sK0 = sK1 )
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f84]) ).
tff(f84,plain,
( spl3_2
<=> ( sK0 = sK1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
tff(f88,plain,
( spl3_2
| spl3_1 ),
inference(avatar_split_clause,[],[f70,f80,f84]) ).
tff(f70,plain,
( $less(sK1,sK0)
| ( sK0 = sK1 ) ),
inference(resolution,[],[f11,f21]) ).
tff(f21,plain,
~ $less(sK0,sK1),
inference(cnf_transformation,[],[f20]) ).
tff(f11,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ),
introduced(theory_axiom_149,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM900=1 : TPTP v8.1.0. Released v5.0.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 09:10:55 EDT 2022
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% 1.30/0.70 % (27902)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 1.30/0.70 % (27898)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)
% 1.30/0.70 % (27898)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.30/0.70 % (27898)Terminated due to inappropriate strategy.
% 1.30/0.70 % (27898)------------------------------
% 1.30/0.70 % (27898)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.70 % (27898)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.70 % (27898)Termination reason: Inappropriate
% 1.30/0.70
% 1.30/0.70 % (27898)Memory used [KB]: 895
% 1.30/0.70 % (27898)Time elapsed: 0.002 s
% 1.30/0.70 % (27898)Instructions burned: 1 (million)
% 1.30/0.70 % (27898)------------------------------
% 1.30/0.70 % (27898)------------------------------
% 1.30/0.70 % (27899)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 1.30/0.71 % (27909)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/59Mi)
% 1.30/0.71 % (27909)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.30/0.71 % (27909)Terminated due to inappropriate strategy.
% 1.30/0.71 % (27909)------------------------------
% 1.30/0.71 % (27909)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.71 % (27909)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.71 % (27909)Termination reason: Inappropriate
% 1.30/0.71
% 1.30/0.71 % (27909)Memory used [KB]: 895
% 1.30/0.71 % (27909)Time elapsed: 0.001 s
% 1.30/0.71 % (27909)------------------------------
% 1.30/0.71 % (27909)------------------------------
% 1.30/0.71 % (27901)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 (2998ds/51Mi)
% 1.30/0.72 % (27918)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)
% 1.30/0.72 % (27917)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/500Mi)
% 1.30/0.72 % (27906)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)
% 1.60/0.72 % (27899)Instruction limit reached!
% 1.60/0.72 % (27899)------------------------------
% 1.60/0.72 % (27899)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.72 % (27902)First to succeed.
% 1.60/0.73 % (27902)Refutation found. Thanks to Tanya!
% 1.60/0.73 % SZS status Theorem for theBenchmark
% 1.60/0.73 % SZS output start Proof for theBenchmark
% See solution above
% 1.60/0.73 % (27902)------------------------------
% 1.60/0.73 % (27902)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.73 % (27902)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.73 % (27902)Termination reason: Refutation
% 1.60/0.73
% 1.60/0.73 % (27902)Memory used [KB]: 5628
% 1.60/0.73 % (27902)Time elapsed: 0.118 s
% 1.60/0.73 % (27902)Instructions burned: 12 (million)
% 1.60/0.73 % (27902)------------------------------
% 1.60/0.73 % (27902)------------------------------
% 1.60/0.73 % (27726)Success in time 0.362 s
%------------------------------------------------------------------------------