TSTP Solution File: NUM865_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM865_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 : n028.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 18:02:43 EDT 2022
% Result : Theorem 0.20s 0.56s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 26 ( 11 unt; 7 typ; 0 def)
% Number of atoms : 56 ( 55 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 46 ( 9 ~; 0 |; 33 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 103 ( 0 atm; 50 fun; 0 num; 53 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 : 8 ( 7 usr; 7 con; 0-2 aty)
% Number of variables : 53 ( 25 !; 28 ?; 53 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_4,type,
sK0: $int ).
tff(func_def_5,type,
sK1: $int ).
tff(func_def_6,type,
sK2: $int ).
tff(func_def_7,type,
sK3: $int ).
tff(func_def_8,type,
sK4: $int ).
tff(func_def_9,type,
sK5: $int ).
tff(func_def_10,type,
sK6: $int ).
tff(f168,plain,
$false,
inference(subsumption_resolution,[],[f167,f22]) ).
tff(f22,plain,
sK5 != sK2,
inference(cnf_transformation,[],[f20]) ).
tff(f20,plain,
( ( sK2 = $sum(sK3,sK4) )
& ( $sum(sK0,sK1) = sK3 )
& ( sK5 = $sum(sK0,sK6) )
& ( sK5 != sK2 )
& ( $sum(sK1,sK4) = sK6 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6])],[f18,f19]) ).
tff(f19,plain,
( ? [X0: $int,X1: $int,X2: $int,X3: $int,X4: $int,X5: $int,X6: $int] :
( ( $sum(X3,X4) = X2 )
& ( $sum(X0,X1) = X3 )
& ( $sum(X0,X6) = X5 )
& ( X2 != X5 )
& ( $sum(X1,X4) = X6 ) )
=> ( ( sK2 = $sum(sK3,sK4) )
& ( $sum(sK0,sK1) = sK3 )
& ( sK5 = $sum(sK0,sK6) )
& ( sK5 != sK2 )
& ( $sum(sK1,sK4) = sK6 ) ) ),
introduced(choice_axiom,[]) ).
tff(f18,plain,
? [X0: $int,X1: $int,X2: $int,X3: $int,X4: $int,X5: $int,X6: $int] :
( ( $sum(X3,X4) = X2 )
& ( $sum(X0,X1) = X3 )
& ( $sum(X0,X6) = X5 )
& ( X2 != X5 )
& ( $sum(X1,X4) = X6 ) ),
inference(rectify,[],[f17]) ).
tff(f17,plain,
? [X5: $int,X6: $int,X4: $int,X1: $int,X3: $int,X2: $int,X0: $int] :
( ( $sum(X1,X3) = X4 )
& ( $sum(X5,X6) = X1 )
& ( $sum(X5,X0) = X2 )
& ( X2 != X4 )
& ( $sum(X6,X3) = X0 ) ),
inference(flattening,[],[f16]) ).
tff(f16,plain,
? [X5: $int,X4: $int,X1: $int,X2: $int,X3: $int,X0: $int,X6: $int] :
( ( X2 != X4 )
& ( $sum(X6,X3) = X0 )
& ( $sum(X1,X3) = X4 )
& ( $sum(X5,X0) = X2 )
& ( $sum(X5,X6) = X1 ) ),
inference(ennf_transformation,[],[f15]) ).
tff(f15,plain,
~ ! [X5: $int,X4: $int,X1: $int,X2: $int,X3: $int,X0: $int,X6: $int] :
( ( ( $sum(X6,X3) = X0 )
& ( $sum(X1,X3) = X4 )
& ( $sum(X5,X0) = X2 )
& ( $sum(X5,X6) = X1 ) )
=> ( X2 = X4 ) ),
inference(rectify,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X5: $int,X3: $int,X6: $int,X2: $int,X4: $int,X0: $int,X1: $int] :
( ( ( $sum(X3,X2) = X4 )
& ( $sum(X1,X2) = X5 )
& ( $sum(X0,X1) = X3 )
& ( $sum(X0,X5) = X6 ) )
=> ( X4 = X6 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X5: $int,X3: $int,X6: $int,X2: $int,X4: $int,X0: $int,X1: $int] :
( ( ( $sum(X3,X2) = X4 )
& ( $sum(X1,X2) = X5 )
& ( $sum(X0,X1) = X3 )
& ( $sum(X0,X5) = X6 ) )
=> ( X4 = X6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associative_sum_forall) ).
tff(f167,plain,
sK5 = sK2,
inference(backward_demodulation,[],[f23,f166]) ).
tff(f166,plain,
$sum(sK0,sK6) = sK2,
inference(forward_demodulation,[],[f147,f25]) ).
tff(f25,plain,
sK2 = $sum(sK3,sK4),
inference(cnf_transformation,[],[f20]) ).
tff(f147,plain,
$sum(sK0,sK6) = $sum(sK3,sK4),
inference(superposition,[],[f34,f21]) ).
tff(f21,plain,
$sum(sK1,sK4) = sK6,
inference(cnf_transformation,[],[f20]) ).
tff(f34,plain,
! [X2: $int] : ( $sum(sK3,X2) = $sum(sK0,$sum(sK1,X2)) ),
inference(superposition,[],[f4,f24]) ).
tff(f24,plain,
$sum(sK0,sK1) = sK3,
inference(cnf_transformation,[],[f20]) ).
tff(f4,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_141,[]) ).
tff(f23,plain,
sK5 = $sum(sK0,sK6),
inference(cnf_transformation,[],[f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM865=1 : TPTP v8.1.0. Released v5.0.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n028.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 : Tue Aug 30 09:16:18 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.53 % (28617)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/32Mi)
% 0.20/0.55 % (28617)First to succeed.
% 0.20/0.55 % (28633)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.20/0.55 % (28625)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.56 % (28617)Refutation found. Thanks to Tanya!
% 0.20/0.56 % SZS status Theorem for theBenchmark
% 0.20/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.56 % (28617)------------------------------
% 0.20/0.56 % (28617)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (28617)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (28617)Termination reason: Refutation
% 0.20/0.56
% 0.20/0.56 % (28617)Memory used [KB]: 5628
% 0.20/0.56 % (28617)Time elapsed: 0.135 s
% 0.20/0.56 % (28617)Instructions burned: 7 (million)
% 0.20/0.56 % (28617)------------------------------
% 0.20/0.56 % (28617)------------------------------
% 0.20/0.56 % (28610)Success in time 0.205 s
%------------------------------------------------------------------------------