TSTP Solution File: ARI590_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI590_1 : TPTP v8.2.0. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n022.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 : Mon May 20 18:50:44 EDT 2024
% Result : Theorem 0.13s 0.38s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 23 ( 8 unt; 1 typ; 0 def)
% Number of atoms : 40 ( 16 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 30 ( 12 ~; 15 |; 2 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 88 ( 23 atm; 9 fun; 27 num; 29 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 : 29 ( 25 !; 4 ?; 29 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_4,type,
sK0: $int ).
tff(f163,plain,
$false,
inference(evaluation,[],[f157]) ).
tff(f157,plain,
1 = $sum(1,1),
inference(resolution,[],[f126,f8]) ).
tff(f8,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
tff(f126,plain,
! [X0: $int] :
( $less(X0,1)
| ( 1 = $sum(X0,1) ) ),
inference(resolution,[],[f121,f31]) ).
tff(f31,plain,
! [X0: $int] : $less(X0,$sum(X0,1)),
inference(resolution,[],[f12,f8]) ).
tff(f12,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_147,[]) ).
tff(f121,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,1)
| ( 1 = X1 ) ),
inference(resolution,[],[f9,f85]) ).
tff(f85,plain,
! [X0: $int] :
( $less(X0,1)
| ( 1 = X0 ) ),
inference(forward_demodulation,[],[f81,f41]) ).
tff(f41,plain,
1 = sK0,
inference(evaluation,[],[f37]) ).
tff(f37,plain,
sK0 = $sum(0,1),
inference(resolution,[],[f31,f18]) ).
tff(f18,plain,
! [X1: $int] :
( ~ $less(0,X1)
| ( sK0 = X1 ) ),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
! [X1: $int] :
( ( sK0 = X1 )
| ~ $less(0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f16]) ).
tff(f16,plain,
( ? [X0: $int] :
! [X1: $int] :
( ( X0 = X1 )
| ~ $less(0,X1) )
=> ! [X1: $int] :
( ( sK0 = X1 )
| ~ $less(0,X1) ) ),
introduced(choice_axiom,[]) ).
tff(f15,plain,
? [X0: $int] :
! [X1: $int] :
( ( X0 = X1 )
| ~ $less(0,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(f81,plain,
! [X0: $int] :
( $less(X0,1)
| ( sK0 = X0 ) ),
inference(resolution,[],[f72,f18]) ).
tff(f72,plain,
! [X0: $int] :
( $less(X0,1)
| $less(0,X0) ),
inference(superposition,[],[f33,f5]) ).
tff(f5,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_137,[]) ).
tff(f33,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(1,X0))
| $less(X0,X1) ),
inference(superposition,[],[f12,f3]) ).
tff(f3,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f9,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| ~ $less(X0,X1)
| $less(X0,X2) ),
introduced(theory_axiom_143,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ARI590_1 : TPTP v8.2.0. Released v5.1.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n022.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 : Sun May 19 13:21:38 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (1487)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (1490)WARNING: value z3 for option sas not known
% 0.13/0.37 % (1490)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.38 % (1490)First to succeed.
% 0.13/0.38 % (1490)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1487"
% 0.13/0.38 % (1490)Refutation found. Thanks to Tanya!
% 0.13/0.38 % SZS status Theorem for theBenchmark
% 0.13/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.38 % (1490)------------------------------
% 0.13/0.38 % (1490)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.38 % (1490)Termination reason: Refutation
% 0.13/0.38
% 0.13/0.38 % (1490)Memory used [KB]: 767
% 0.13/0.38 % (1490)Time elapsed: 0.009 s
% 0.13/0.38 % (1490)Instructions burned: 8 (million)
% 0.13/0.38 % (1487)Success in time 0.023 s
%------------------------------------------------------------------------------