TSTP Solution File: NUM895_1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM895_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 : n013.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 18:02:48 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 22 ( 11 unt; 3 typ; 0 def)
% Number of atoms : 29 ( 28 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 19 ( 9 ~; 0 |; 5 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 78 ( 0 atm; 46 fun; 3 num; 29 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 : 7 ( 3 usr; 4 con; 0-2 aty)
% Number of variables : 29 ( 20 !; 9 ?; 29 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_5,type,
sK0: $int ).
tff(func_def_6,type,
sK1: $int ).
tff(func_def_7,type,
sK2: $int ).
tff(f154,plain,
$false,
inference(subsumption_resolution,[],[f153,f21]) ).
tff(f21,plain,
sK1 != $sum(sK0,$uminus(sK2)),
inference(cnf_transformation,[],[f20]) ).
tff(f20,plain,
( ( sK0 = $sum(sK2,sK1) )
& ( sK1 != $sum(sK0,$uminus(sK2)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f18,f19]) ).
tff(f19,plain,
( ? [X0: $int,X1: $int,X2: $int] :
( ( $sum(X2,X1) = X0 )
& ( $sum(X0,$uminus(X2)) != X1 ) )
=> ( ( sK0 = $sum(sK2,sK1) )
& ( sK1 != $sum(sK0,$uminus(sK2)) ) ) ),
introduced(choice_axiom,[]) ).
tff(f18,plain,
? [X0: $int,X1: $int,X2: $int] :
( ( $sum(X2,X1) = X0 )
& ( $sum(X0,$uminus(X2)) != X1 ) ),
inference(rectify,[],[f17]) ).
tff(f17,plain,
? [X2: $int,X0: $int,X1: $int] :
( ( $sum(X1,X0) = X2 )
& ( $sum(X2,$uminus(X1)) != X0 ) ),
inference(ennf_transformation,[],[f16]) ).
tff(f16,plain,
~ ! [X0: $int,X1: $int,X2: $int] :
( ( $sum(X1,X0) = X2 )
=> ( $sum(X2,$uminus(X1)) = X0 ) ),
inference(rectify,[],[f3]) ).
tff(f3,plain,
~ ! [X1: $int,X0: $int,X2: $int] :
( ( $sum(X0,X1) = X2 )
=> ( $sum(X2,$uminus(X0)) = X1 ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X1: $int,X0: $int,X2: $int] :
( ( $sum(X0,X1) = X2 )
=> ( $difference(X2,X0) = X1 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X1: $int,X0: $int,X2: $int] :
( ( $sum(X0,X1) = X2 )
=> ( $difference(X2,X0) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_difference) ).
tff(f153,plain,
sK1 = $sum(sK0,$uminus(sK2)),
inference(forward_demodulation,[],[f144,f6]) ).
tff(f6,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f144,plain,
$sum(sK1,0) = $sum(sK0,$uminus(sK2)),
inference(superposition,[],[f30,f8]) ).
tff(f8,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_145,[]) ).
tff(f30,plain,
! [X0: $int] : ( $sum(sK0,X0) = $sum(sK1,$sum(sK2,X0)) ),
inference(superposition,[],[f5,f24]) ).
tff(f24,plain,
sK0 = $sum(sK1,sK2),
inference(superposition,[],[f22,f4]) ).
tff(f4,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_140,[]) ).
tff(f22,plain,
sK0 = $sum(sK2,sK1),
inference(cnf_transformation,[],[f20]) ).
tff(f5,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum($sum(X0,X1),X2) = $sum(X0,$sum(X1,X2)) ),
introduced(theory_axiom_141,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM895=1 : TPTP v8.1.0. Released v5.0.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n013.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 09:09:17 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.19/0.50 % (8276)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 (3000ds/46Mi)
% 0.19/0.50 % (8268)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 (3000ds/50Mi)
% 0.19/0.50 % (8260)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 (3000ds/32Mi)
% 0.19/0.51 % (8267)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/21Mi)
% 0.19/0.51 % (8260)First to succeed.
% 0.19/0.52 % (8279)lrs+1002_1:1_br=off:canc=force:drc=off:s2a=on:sos=on:sp=reverse_frequency:urr=on:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/42Mi)
% 0.19/0.52 % (8260)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (8260)------------------------------
% 0.19/0.52 % (8260)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (8260)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (8260)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (8260)Memory used [KB]: 5500
% 0.19/0.52 % (8260)Time elapsed: 0.070 s
% 0.19/0.52 % (8260)Instructions burned: 6 (million)
% 0.19/0.52 % (8260)------------------------------
% 0.19/0.52 % (8260)------------------------------
% 0.19/0.52 % (8253)Success in time 0.171 s
%------------------------------------------------------------------------------