TSTP Solution File: NUM877_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM877_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_uns --cores 0 -t %d %s
% Computer : n004.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 18:02:45 EDT 2022
% Result : Theorem 0.21s 0.52s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 24 ( 7 unt; 2 typ; 0 def)
% Number of atoms : 40 ( 23 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 34 ( 16 ~; 8 |; 5 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 81 ( 16 atm; 26 fun; 17 num; 22 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 ( 2 usr; 3 con; 0-2 aty)
% Number of variables : 22 ( 16 !; 6 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_5,type,
sK0: $int ).
tff(func_def_6,type,
sK1: $int ).
tff(f51,plain,
$false,
inference(subsumption_resolution,[],[f49,f42]) ).
tff(f42,plain,
$less(sK0,sK1),
inference(subsumption_resolution,[],[f41,f21]) ).
tff(f21,plain,
sK1 != sK0,
inference(cnf_transformation,[],[f20]) ).
tff(f20,plain,
( ( 0 = $sum(sK0,$uminus(sK1)) )
& ( sK1 != sK0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f18,f19]) ).
tff(f19,plain,
( ? [X0: $int,X1: $int] :
( ( 0 = $sum(X0,$uminus(X1)) )
& ( X0 != X1 ) )
=> ( ( 0 = $sum(sK0,$uminus(sK1)) )
& ( sK1 != sK0 ) ) ),
introduced(choice_axiom,[]) ).
tff(f18,plain,
? [X0: $int,X1: $int] :
( ( 0 = $sum(X0,$uminus(X1)) )
& ( X0 != X1 ) ),
inference(rectify,[],[f17]) ).
tff(f17,plain,
? [X1: $int,X0: $int] :
( ( 0 = $sum(X1,$uminus(X0)) )
& ( X0 != X1 ) ),
inference(ennf_transformation,[],[f16]) ).
tff(f16,plain,
~ ! [X1: $int,X0: $int] :
( ( 0 = $sum(X1,$uminus(X0)) )
=> ( X0 = X1 ) ),
inference(rectify,[],[f3]) ).
tff(f3,plain,
~ ! [X1: $int,X0: $int] :
( ( 0 = $sum(X0,$uminus(X1)) )
=> ( X0 = X1 ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X1: $int,X0: $int] :
( ( $difference(X0,X1) = 0 )
=> ( X0 = X1 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X1: $int,X0: $int] :
( ( $difference(X0,X1) = 0 )
=> ( X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diff_identity) ).
tff(f41,plain,
( ( sK1 = sK0 )
| $less(sK0,sK1) ),
inference(resolution,[],[f40,f11]) ).
tff(f11,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ),
introduced(theory_axiom_149,[]) ).
tff(f40,plain,
~ $less(sK1,sK0),
inference(evaluation,[],[f34]) ).
tff(f34,plain,
( $less(0,0)
| ~ $less(sK1,sK0) ),
inference(superposition,[],[f25,f8]) ).
tff(f8,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_145,[]) ).
tff(f25,plain,
! [X1: $int] :
( $less($sum(X1,$uminus(sK1)),0)
| ~ $less(X1,sK0) ),
inference(superposition,[],[f12,f22]) ).
tff(f22,plain,
0 = $sum(sK0,$uminus(sK1)),
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(f49,plain,
~ $less(sK0,sK1),
inference(evaluation,[],[f44]) ).
tff(f44,plain,
( $less(0,0)
| ~ $less(sK0,sK1) ),
inference(superposition,[],[f26,f8]) ).
tff(f26,plain,
! [X2: $int] :
( $less(0,$sum(X2,$uminus(sK1)))
| ~ $less(sK0,X2) ),
inference(superposition,[],[f12,f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM877=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_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n004.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 09:05:35 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.50 % (23585)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.21/0.50 % (23577)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.21/0.51 % (23577)Instruction limit reached!
% 0.21/0.51 % (23577)------------------------------
% 0.21/0.51 % (23577)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (23577)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (23577)Termination reason: Unknown
% 0.21/0.51 % (23577)Termination phase: Saturation
% 0.21/0.51
% 0.21/0.51 % (23577)Memory used [KB]: 5373
% 0.21/0.51 % (23577)Time elapsed: 0.003 s
% 0.21/0.51 % (23577)Instructions burned: 2 (million)
% 0.21/0.51 % (23577)------------------------------
% 0.21/0.51 % (23577)------------------------------
% 0.21/0.51 % (23569)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/36Mi)
% 0.21/0.51 % (23569)First to succeed.
% 0.21/0.52 % (23569)Refutation found. Thanks to Tanya!
% 0.21/0.52 % SZS status Theorem for theBenchmark
% 0.21/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52 % (23569)------------------------------
% 0.21/0.52 % (23569)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (23569)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (23569)Termination reason: Refutation
% 0.21/0.52
% 0.21/0.52 % (23569)Memory used [KB]: 5500
% 0.21/0.52 % (23569)Time elapsed: 0.072 s
% 0.21/0.52 % (23569)Instructions burned: 3 (million)
% 0.21/0.52 % (23569)------------------------------
% 0.21/0.52 % (23569)------------------------------
% 0.21/0.52 % (23561)Success in time 0.152 s
%------------------------------------------------------------------------------