TSTP Solution File: NUM892_1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM892_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 : n021.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 18:07:08 EDT 2022
% Result : Theorem 0.19s 0.43s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 7
% Syntax : Number of formulae : 25 ( 6 unt; 2 typ; 0 def)
% Number of atoms : 70 ( 21 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 76 ( 29 ~; 31 |; 10 &)
% ( 4 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number arithmetic : 71 ( 48 atm; 0 fun; 0 num; 23 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 23 ( 15 !; 8 ?; 23 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_4,type,
sK0: $int ).
tff(func_def_5,type,
sK1: $int ).
tff(f110,plain,
$false,
inference(subsumption_resolution,[],[f104,f9]) ).
tff(f9,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_147,[]) ).
tff(f104,plain,
$less(sK0,sK0),
inference(backward_demodulation,[],[f27,f99]) ).
tff(f99,plain,
sK0 = sK1,
inference(resolution,[],[f73,f25]) ).
tff(f25,plain,
( $less(sK1,sK0)
| ( sK0 = sK1 ) ),
inference(subsumption_resolution,[],[f22,f11]) ).
tff(f11,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,X0)
| ( X0 = X1 ) ),
introduced(theory_axiom_149,[]) ).
tff(f22,plain,
( $less(sK1,sK0)
| ( sK0 = sK1 )
| ~ $less(sK0,sK1) ),
inference(cnf_transformation,[],[f21]) ).
tff(f21,plain,
( ( ( ( sK0 != sK1 )
& ~ $less(sK1,sK0) )
| $less(sK0,sK1) )
& ( ( sK0 = sK1 )
| $less(sK1,sK0)
| ~ $less(sK0,sK1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f19,f20]) ).
tff(f20,plain,
( ? [X0: $int,X1: $int] :
( ( ( ( X0 != X1 )
& ~ $less(X1,X0) )
| $less(X0,X1) )
& ( ( X0 = X1 )
| $less(X1,X0)
| ~ $less(X0,X1) ) )
=> ( ( ( ( sK0 != sK1 )
& ~ $less(sK1,sK0) )
| $less(sK0,sK1) )
& ( ( sK0 = sK1 )
| $less(sK1,sK0)
| ~ $less(sK0,sK1) ) ) ),
introduced(choice_axiom,[]) ).
tff(f19,plain,
? [X0: $int,X1: $int] :
( ( ( ( X0 != X1 )
& ~ $less(X1,X0) )
| $less(X0,X1) )
& ( ( X0 = X1 )
| $less(X1,X0)
| ~ $less(X0,X1) ) ),
inference(flattening,[],[f18]) ).
tff(f18,plain,
? [X0: $int,X1: $int] :
( ( ( ( X0 != X1 )
& ~ $less(X1,X0) )
| $less(X0,X1) )
& ( ( X0 = X1 )
| $less(X1,X0)
| ~ $less(X0,X1) ) ),
inference(nnf_transformation,[],[f17]) ).
tff(f17,plain,
? [X0: $int,X1: $int] :
( ~ $less(X0,X1)
<~> ( ( X0 = X1 )
| $less(X1,X0) ) ),
inference(ennf_transformation,[],[f16]) ).
tff(f16,plain,
~ ! [X1: $int,X0: $int] :
( ~ $less(X0,X1)
<=> ( ( X0 = X1 )
| $less(X1,X0) ) ),
inference(rectify,[],[f3]) ).
tff(f3,plain,
~ ! [X1: $int,X0: $int] :
( ~ $less(X1,X0)
<=> ( ( X0 = X1 )
| $less(X0,X1) ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X1: $int,X0: $int] :
( $lesseq(X0,X1)
<=> ( ( X0 = X1 )
| $less(X0,X1) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X1: $int,X0: $int] :
( $lesseq(X0,X1)
<=> ( ( X0 = X1 )
| $less(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_lesseq) ).
tff(f73,plain,
~ $less(sK1,sK0),
inference(resolution,[],[f56,f9]) ).
tff(f56,plain,
! [X0: $int] :
( $less(X0,sK1)
| ~ $less(X0,sK0) ),
inference(resolution,[],[f10,f27]) ).
tff(f10,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| ~ $less(X0,X1)
| $less(X0,X2) ),
introduced(theory_axiom_148,[]) ).
tff(f27,plain,
$less(sK0,sK1),
inference(subsumption_resolution,[],[f26,f24]) ).
tff(f24,plain,
( $less(sK0,sK1)
| ( sK0 != sK1 ) ),
inference(cnf_transformation,[],[f21]) ).
tff(f26,plain,
( ( sK0 = sK1 )
| $less(sK0,sK1) ),
inference(resolution,[],[f25,f23]) ).
tff(f23,plain,
( ~ $less(sK1,sK0)
| $less(sK0,sK1) ),
inference(cnf_transformation,[],[f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM892=1 : TPTP v8.1.0. Released v5.0.0.
% 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
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 09:08:26 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.42 % (2972)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 (2999ds/75Mi)
% 0.19/0.42 % (2972)First to succeed.
% 0.19/0.43 % (2972)Refutation found. Thanks to Tanya!
% 0.19/0.43 % SZS status Theorem for theBenchmark
% 0.19/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.43 % (2972)------------------------------
% 0.19/0.43 % (2972)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.43 % (2972)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.43 % (2972)Termination reason: Refutation
% 0.19/0.43
% 0.19/0.43 % (2972)Memory used [KB]: 1023
% 0.19/0.43 % (2972)Time elapsed: 0.007 s
% 0.19/0.43 % (2972)Instructions burned: 5 (million)
% 0.19/0.43 % (2972)------------------------------
% 0.19/0.43 % (2972)------------------------------
% 0.19/0.43 % (2956)Success in time 0.068 s
%------------------------------------------------------------------------------