TSTP Solution File: ARI082_1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ARI082_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 : n008.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 15:47:24 EDT 2022
% Result : Theorem 0.14s 0.47s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 25 ( 13 unt; 4 typ; 0 def)
% Number of atoms : 58 ( 57 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 47 ( 10 ~; 0 |; 33 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 139 ( 0 atm; 42 fun; 69 num; 28 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 4 usr; 10 con; 0-2 aty)
% Number of variables : 28 ( 12 !; 16 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_7,type,
sK0: $int ).
tff(func_def_8,type,
sK1: $int ).
tff(func_def_9,type,
sK2: $int ).
tff(func_def_10,type,
sK3: $int ).
tff(f33,plain,
$false,
inference(subsumption_resolution,[],[f32,f30]) ).
tff(f30,plain,
sK1 != 11,
inference(backward_demodulation,[],[f25,f29]) ).
tff(f29,plain,
sK0 = 11,
inference(evaluation,[],[f28]) ).
tff(f28,plain,
sK0 = $sum(2,9),
inference(forward_demodulation,[],[f21,f27]) ).
tff(f27,plain,
sK3 = 9,
inference(evaluation,[],[f22]) ).
tff(f22,plain,
$sum(3,6) = sK3,
inference(cnf_transformation,[],[f20]) ).
tff(f20,plain,
( ( sK0 != sK1 )
& ( sK1 = $sum(sK2,6) )
& ( $sum(2,3) = sK2 )
& ( $sum(3,6) = sK3 )
& ( sK0 = $sum(2,sK3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f18,f19]) ).
tff(f19,plain,
( ? [X0: $int,X1: $int,X2: $int,X3: $int] :
( ( X0 != X1 )
& ( $sum(X2,6) = X1 )
& ( $sum(2,3) = X2 )
& ( $sum(3,6) = X3 )
& ( $sum(2,X3) = X0 ) )
=> ( ( sK0 != sK1 )
& ( sK1 = $sum(sK2,6) )
& ( $sum(2,3) = sK2 )
& ( $sum(3,6) = sK3 )
& ( sK0 = $sum(2,sK3) ) ) ),
introduced(choice_axiom,[]) ).
tff(f18,plain,
? [X0: $int,X1: $int,X2: $int,X3: $int] :
( ( X0 != X1 )
& ( $sum(X2,6) = X1 )
& ( $sum(2,3) = X2 )
& ( $sum(3,6) = X3 )
& ( $sum(2,X3) = X0 ) ),
inference(rectify,[],[f17]) ).
tff(f17,plain,
? [X2: $int,X0: $int,X3: $int,X1: $int] :
( ( X0 != X2 )
& ( $sum(X3,6) = X0 )
& ( $sum(2,3) = X3 )
& ( $sum(3,6) = X1 )
& ( $sum(2,X1) = X2 ) ),
inference(flattening,[],[f16]) ).
tff(f16,plain,
? [X3: $int,X1: $int,X2: $int,X0: $int] :
( ( X0 != X2 )
& ( $sum(2,X1) = X2 )
& ( $sum(3,6) = X1 )
& ( $sum(2,3) = X3 )
& ( $sum(X3,6) = X0 ) ),
inference(ennf_transformation,[],[f15]) ).
tff(f15,plain,
~ ! [X3: $int,X1: $int,X2: $int,X0: $int] :
( ( ( $sum(2,X1) = X2 )
& ( $sum(3,6) = X1 )
& ( $sum(2,3) = X3 )
& ( $sum(X3,6) = X0 ) )
=> ( X0 = X2 ) ),
inference(rectify,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X1: $int,X2: $int,X3: $int,X0: $int] :
( ( ( $sum(2,3) = X0 )
& ( $sum(3,6) = X2 )
& ( $sum(X0,6) = X1 )
& ( $sum(2,X2) = X3 ) )
=> ( X1 = X3 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X1: $int,X2: $int,X3: $int,X0: $int] :
( ( ( $sum(2,3) = X0 )
& ( $sum(3,6) = X2 )
& ( $sum(X0,6) = X1 )
& ( $sum(2,X2) = X3 ) )
=> ( X1 = X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associative_sum) ).
tff(f21,plain,
sK0 = $sum(2,sK3),
inference(cnf_transformation,[],[f20]) ).
tff(f25,plain,
sK0 != sK1,
inference(cnf_transformation,[],[f20]) ).
tff(f32,plain,
sK1 = 11,
inference(evaluation,[],[f31]) ).
tff(f31,plain,
$sum(5,6) = sK1,
inference(forward_demodulation,[],[f24,f26]) ).
tff(f26,plain,
sK2 = 5,
inference(evaluation,[],[f23]) ).
tff(f23,plain,
$sum(2,3) = sK2,
inference(cnf_transformation,[],[f20]) ).
tff(f24,plain,
sK1 = $sum(sK2,6),
inference(cnf_transformation,[],[f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : ARI082=1 : TPTP v8.1.0. Released v5.0.0.
% 0.02/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.09/0.29 % Computer : n008.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Mon Aug 29 15:24:25 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.14/0.46 % (30709)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/498Mi)
% 0.14/0.46 % (30701)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 (3000ds/68Mi)
% 0.14/0.47 % (30709)First to succeed.
% 0.14/0.47 % (30709)Refutation found. Thanks to Tanya!
% 0.14/0.47 % SZS status Theorem for theBenchmark
% 0.14/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.47 % (30709)------------------------------
% 0.14/0.47 % (30709)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.47 % (30709)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.47 % (30709)Termination reason: Refutation
% 0.14/0.47
% 0.14/0.47 % (30709)Memory used [KB]: 895
% 0.14/0.47 % (30709)Time elapsed: 0.065 s
% 0.14/0.47 % (30709)Instructions burned: 2 (million)
% 0.14/0.47 % (30709)------------------------------
% 0.14/0.47 % (30709)------------------------------
% 0.14/0.47 % (30686)Success in time 0.172 s
%------------------------------------------------------------------------------