TSTP Solution File: ARI590_1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ARI590_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 : n012.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 15:48:39 EDT 2022
% Result : Theorem 0.20s 0.48s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 23 ( 10 unt; 1 typ; 0 def)
% Number of atoms : 37 ( 15 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 28 ( 13 ~; 12 |; 2 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 83 ( 21 atm; 10 fun; 24 num; 28 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 : 4 ( 1 usr; 3 con; 0-2 aty)
% Number of variables : 28 ( 24 !; 4 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_4,type,
sK0: $int ).
tff(f183,plain,
$false,
inference(evaluation,[],[f172]) ).
tff(f172,plain,
1 = $sum(1,1),
inference(resolution,[],[f156,f70]) ).
tff(f70,plain,
! [X0: $int] :
( $less(X0,1)
| ( 1 = X0 ) ),
inference(forward_demodulation,[],[f64,f56]) ).
tff(f56,plain,
1 = sK0,
inference(evaluation,[],[f51]) ).
tff(f51,plain,
$sum(0,1) = sK0,
inference(resolution,[],[f37,f18]) ).
tff(f18,plain,
! [X1: $int] :
( ~ $less(0,X1)
| ( sK0 = X1 ) ),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
! [X1: $int] :
( ~ $less(0,X1)
| ( sK0 = X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f16]) ).
tff(f16,plain,
( ? [X0: $int] :
! [X1: $int] :
( ~ $less(0,X1)
| ( X0 = X1 ) )
=> ! [X1: $int] :
( ~ $less(0,X1)
| ( sK0 = X1 ) ) ),
introduced(choice_axiom,[]) ).
tff(f15,plain,
? [X0: $int] :
! [X1: $int] :
( ~ $less(0,X1)
| ( X0 = X1 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int] :
? [X1: $int] :
( ( X0 != X1 )
& $less(0,X1) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int] :
? [X1: $int] :
( ( X0 != X1 )
& $less(0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exists_pos_X_noteq_Y) ).
tff(f37,plain,
! [X0: $int] : $less(X0,$sum(X0,1)),
inference(resolution,[],[f12,f8]) ).
tff(f8,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_147,[]) ).
tff(f12,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_152,[]) ).
tff(f64,plain,
! [X0: $int] :
( $less(X0,1)
| ( sK0 = X0 ) ),
inference(resolution,[],[f42,f18]) ).
tff(f42,plain,
! [X5: $int] :
( $less(0,X5)
| $less(X5,1) ),
inference(superposition,[],[f12,f29]) ).
tff(f29,plain,
! [X0: $int] : ( $sum(0,X0) = X0 ),
inference(superposition,[],[f5,f3]) ).
tff(f3,plain,
! [X0: $int,X1: $int] : ( $sum(X1,X0) = $sum(X0,X1) ),
introduced(theory_axiom_140,[]) ).
tff(f5,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f156,plain,
! [X3: $int] : ~ $less($sum(X3,1),X3),
inference(resolution,[],[f86,f8]) ).
tff(f86,plain,
! [X11: $int,X12: $int] :
( $less(X11,$sum(X12,1))
| ~ $less(X11,X12) ),
inference(resolution,[],[f9,f37]) ).
tff(f9,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| $less(X0,X2)
| ~ $less(X0,X1) ),
introduced(theory_axiom_148,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ARI590=1 : TPTP v8.1.0. Released v5.1.0.
% 0.07/0.13 % 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 : n012.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 15:49:36 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.47 % (21339)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 0.20/0.47 % (21347)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.20/0.48 % (21347)First to succeed.
% 0.20/0.48 % (21363)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/355Mi)
% 0.20/0.48 % (21347)Refutation found. Thanks to Tanya!
% 0.20/0.48 % SZS status Theorem for theBenchmark
% 0.20/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.48 % (21347)------------------------------
% 0.20/0.48 % (21347)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48 % (21347)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48 % (21347)Termination reason: Refutation
% 0.20/0.48
% 0.20/0.48 % (21347)Memory used [KB]: 5500
% 0.20/0.48 % (21347)Time elapsed: 0.097 s
% 0.20/0.48 % (21347)Instructions burned: 7 (million)
% 0.20/0.48 % (21347)------------------------------
% 0.20/0.48 % (21347)------------------------------
% 0.20/0.48 % (21333)Success in time 0.134 s
%------------------------------------------------------------------------------