TSTP Solution File: LCL674+1.001 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LCL674+1.001 : TPTP v8.1.0. Released v4.0.0.
% 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 : n017.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 17:44:54 EDT 2022
% Result : Theorem 0.98s 0.64s
% Output : Refutation 0.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 5
% Syntax : Number of formulae : 27 ( 7 unt; 0 def)
% Number of atoms : 422 ( 0 equ)
% Maximal formula atoms : 66 ( 15 avg)
% Number of connectives : 699 ( 304 ~; 239 |; 153 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 9 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 104 ( 83 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f58,plain,
$false,
inference(subsumption_resolution,[],[f57,f19]) ).
fof(f19,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(f57,plain,
~ r1(sK0,sK0),
inference(subsumption_resolution,[],[f56,f31]) ).
fof(f31,plain,
p100(sK0),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
( ! [X1] :
( p2(X1)
| ~ r1(sK0,X1) )
& ~ p101(sK0)
& p100(sK0)
& ! [X2] :
( ( ( ~ p101(X2)
| ( ( ~ p2(X2)
| ! [X3] :
( ~ p101(X3)
| p2(X3)
| ~ r1(X2,X3) ) )
& ( p2(X2)
| ! [X4] :
( ~ p2(X4)
| ~ p101(X4)
| ~ r1(X2,X4) ) ) ) )
& ( p100(X2)
| ~ p101(X2) )
& ( ~ p100(X2)
| ( ( p1(X2)
| ! [X5] :
( ~ p100(X5)
| ~ r1(X2,X5)
| ~ p1(X5) ) )
& ( ~ p1(X2)
| ! [X6] :
( ~ p100(X6)
| p1(X6)
| ~ r1(X2,X6) ) ) ) )
& ( p101(X2)
| ( p101(sK1(X2))
& p2(sK1(X2))
& r1(X2,sK1(X2))
& ~ p2(sK2(X2))
& p101(sK2(X2))
& r1(X2,sK2(X2)) )
| ~ p100(X2) ) )
| ~ r1(sK0,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f13,f16,f15,f14]) ).
fof(f14,plain,
( ? [X0] :
( ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
& ~ p101(X0)
& p100(X0)
& ! [X2] :
( ( ( ~ p101(X2)
| ( ( ~ p2(X2)
| ! [X3] :
( ~ p101(X3)
| p2(X3)
| ~ r1(X2,X3) ) )
& ( p2(X2)
| ! [X4] :
( ~ p2(X4)
| ~ p101(X4)
| ~ r1(X2,X4) ) ) ) )
& ( p100(X2)
| ~ p101(X2) )
& ( ~ p100(X2)
| ( ( p1(X2)
| ! [X5] :
( ~ p100(X5)
| ~ r1(X2,X5)
| ~ p1(X5) ) )
& ( ~ p1(X2)
| ! [X6] :
( ~ p100(X6)
| p1(X6)
| ~ r1(X2,X6) ) ) ) )
& ( p101(X2)
| ( ? [X7] :
( p101(X7)
& p2(X7)
& r1(X2,X7) )
& ? [X8] :
( ~ p2(X8)
& p101(X8)
& r1(X2,X8) ) )
| ~ p100(X2) ) )
| ~ r1(X0,X2) ) )
=> ( ! [X1] :
( p2(X1)
| ~ r1(sK0,X1) )
& ~ p101(sK0)
& p100(sK0)
& ! [X2] :
( ( ( ~ p101(X2)
| ( ( ~ p2(X2)
| ! [X3] :
( ~ p101(X3)
| p2(X3)
| ~ r1(X2,X3) ) )
& ( p2(X2)
| ! [X4] :
( ~ p2(X4)
| ~ p101(X4)
| ~ r1(X2,X4) ) ) ) )
& ( p100(X2)
| ~ p101(X2) )
& ( ~ p100(X2)
| ( ( p1(X2)
| ! [X5] :
( ~ p100(X5)
| ~ r1(X2,X5)
| ~ p1(X5) ) )
& ( ~ p1(X2)
| ! [X6] :
( ~ p100(X6)
| p1(X6)
| ~ r1(X2,X6) ) ) ) )
& ( p101(X2)
| ( ? [X7] :
( p101(X7)
& p2(X7)
& r1(X2,X7) )
& ? [X8] :
( ~ p2(X8)
& p101(X8)
& r1(X2,X8) ) )
| ~ p100(X2) ) )
| ~ r1(sK0,X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
! [X2] :
( ? [X7] :
( p101(X7)
& p2(X7)
& r1(X2,X7) )
=> ( p101(sK1(X2))
& p2(sK1(X2))
& r1(X2,sK1(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
! [X2] :
( ? [X8] :
( ~ p2(X8)
& p101(X8)
& r1(X2,X8) )
=> ( ~ p2(sK2(X2))
& p101(sK2(X2))
& r1(X2,sK2(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
? [X0] :
( ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
& ~ p101(X0)
& p100(X0)
& ! [X2] :
( ( ( ~ p101(X2)
| ( ( ~ p2(X2)
| ! [X3] :
( ~ p101(X3)
| p2(X3)
| ~ r1(X2,X3) ) )
& ( p2(X2)
| ! [X4] :
( ~ p2(X4)
| ~ p101(X4)
| ~ r1(X2,X4) ) ) ) )
& ( p100(X2)
| ~ p101(X2) )
& ( ~ p100(X2)
| ( ( p1(X2)
| ! [X5] :
( ~ p100(X5)
| ~ r1(X2,X5)
| ~ p1(X5) ) )
& ( ~ p1(X2)
| ! [X6] :
( ~ p100(X6)
| p1(X6)
| ~ r1(X2,X6) ) ) ) )
& ( p101(X2)
| ( ? [X7] :
( p101(X7)
& p2(X7)
& r1(X2,X7) )
& ? [X8] :
( ~ p2(X8)
& p101(X8)
& r1(X2,X8) ) )
| ~ p100(X2) ) )
| ~ r1(X0,X2) ) ),
inference(rectify,[],[f10]) ).
fof(f10,plain,
? [X0] :
( ! [X8] :
( p2(X8)
| ~ r1(X0,X8) )
& ~ p101(X0)
& p100(X0)
& ! [X1] :
( ( ( ~ p101(X1)
| ( ( ~ p2(X1)
| ! [X7] :
( ~ p101(X7)
| p2(X7)
| ~ r1(X1,X7) ) )
& ( p2(X1)
| ! [X6] :
( ~ p2(X6)
| ~ p101(X6)
| ~ r1(X1,X6) ) ) ) )
& ( p100(X1)
| ~ p101(X1) )
& ( ~ p100(X1)
| ( ( p1(X1)
| ! [X4] :
( ~ p100(X4)
| ~ r1(X1,X4)
| ~ p1(X4) ) )
& ( ~ p1(X1)
| ! [X5] :
( ~ p100(X5)
| p1(X5)
| ~ r1(X1,X5) ) ) ) )
& ( p101(X1)
| ( ? [X3] :
( p101(X3)
& p2(X3)
& r1(X1,X3) )
& ? [X2] :
( ~ p2(X2)
& p101(X2)
& r1(X1,X2) ) )
| ~ p100(X1) ) )
| ~ r1(X0,X1) ) ),
inference(flattening,[],[f9]) ).
fof(f9,plain,
? [X0] :
( ! [X8] :
( p2(X8)
| ~ r1(X0,X8) )
& ! [X1] :
( ~ r1(X0,X1)
| ( ( ~ p100(X1)
| ( ( p1(X1)
| ! [X4] :
( ~ p100(X4)
| ~ r1(X1,X4)
| ~ p1(X4) ) )
& ( ~ p1(X1)
| ! [X5] :
( ~ p100(X5)
| p1(X5)
| ~ r1(X1,X5) ) ) ) )
& ( ( ? [X3] :
( p101(X3)
& p2(X3)
& r1(X1,X3) )
& ? [X2] :
( r1(X1,X2)
& p101(X2)
& ~ p2(X2) ) )
| ~ p100(X1)
| p101(X1) )
& ( p100(X1)
| ~ p101(X1) )
& ( ~ p101(X1)
| ( ( ~ p2(X1)
| ! [X7] :
( ~ p101(X7)
| p2(X7)
| ~ r1(X1,X7) ) )
& ( p2(X1)
| ! [X6] :
( ~ p2(X6)
| ~ p101(X6)
| ~ r1(X1,X6) ) ) ) ) ) )
& p100(X0)
& ~ p101(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,plain,
? [X0] :
~ ( ~ ! [X8] :
( p2(X8)
| ~ r1(X0,X8) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ( ( ~ p100(X1)
| ( ( p1(X1)
| ! [X4] :
( ~ p100(X4)
| ~ r1(X1,X4)
| ~ p1(X4) ) )
& ( ~ p1(X1)
| ! [X5] :
( ~ p100(X5)
| p1(X5)
| ~ r1(X1,X5) ) ) ) )
& ( ( ~ ! [X3] :
( ~ ( p101(X3)
& p2(X3) )
| ~ r1(X1,X3) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p101(X2)
& ~ p2(X2) ) ) )
| ~ ( p100(X1)
& ~ p101(X1) ) )
& ( p100(X1)
| ~ p101(X1) )
& ( ~ p101(X1)
| ( ( ~ p2(X1)
| ! [X7] :
( ~ p101(X7)
| p2(X7)
| ~ r1(X1,X7) ) )
& ( p2(X1)
| ! [X6] :
( ~ p2(X6)
| ~ p101(X6)
| ~ r1(X1,X6) ) ) ) ) ) )
& p100(X0)
& ~ p101(X0) ) ),
inference(pure_predicate_removal,[],[f6]) ).
fof(f6,plain,
? [X0] :
~ ( ~ ! [X8] :
( p2(X8)
| ~ r1(X0,X8) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ( ( ~ p100(X1)
| ( ( p1(X1)
| ! [X4] :
( ~ p100(X4)
| ~ r1(X1,X4)
| ~ p1(X4) ) )
& ( ~ p1(X1)
| ! [X5] :
( ~ p100(X5)
| p1(X5)
| ~ r1(X1,X5) ) ) ) )
& ( ( ~ ! [X3] :
( ~ ( ~ p102(X3)
& p101(X3)
& p2(X3) )
| ~ r1(X1,X3) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p101(X2)
& ~ p2(X2)
& ~ p102(X2) ) ) )
| ~ ( p100(X1)
& ~ p101(X1) ) )
& ( p100(X1)
| ~ p101(X1) )
& ( p101(X1)
| ~ p102(X1) )
& ( ~ p101(X1)
| ( ( ~ p2(X1)
| ! [X7] :
( ~ p101(X7)
| p2(X7)
| ~ r1(X1,X7) ) )
& ( p2(X1)
| ! [X6] :
( ~ p2(X6)
| ~ p101(X6)
| ~ r1(X1,X6) ) ) ) ) ) )
& p100(X0)
& ~ p101(X0) ) ),
inference(flattening,[],[f5]) ).
fof(f5,plain,
~ ~ ? [X0] :
~ ( ~ ! [X8] :
( p2(X8)
| ~ r1(X0,X8) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ( ( ~ p100(X1)
| ( ( p1(X1)
| ! [X4] :
( ~ p100(X4)
| ~ r1(X1,X4)
| ~ p1(X4) ) )
& ( ~ p1(X1)
| ! [X5] :
( ~ p100(X5)
| p1(X5)
| ~ r1(X1,X5) ) ) ) )
& ( ( ~ ! [X3] :
( ~ ( ~ p102(X3)
& p101(X3)
& p2(X3) )
| ~ r1(X1,X3) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p101(X2)
& ~ p2(X2)
& ~ p102(X2) ) ) )
| ~ ( p100(X1)
& ~ p101(X1) ) )
& ( p100(X1)
| ~ p101(X1) )
& ( p101(X1)
| ~ p102(X1) )
& ( ~ p101(X1)
| ( ( ~ p2(X1)
| ! [X7] :
( ~ p101(X7)
| p2(X7)
| ~ r1(X1,X7) ) )
& ( p2(X1)
| ! [X6] :
( ~ p2(X6)
| ~ p101(X6)
| ~ r1(X1,X6) ) ) ) ) ) )
& p100(X0)
& ~ p101(X0) ) ),
inference(rectify,[],[f4]) ).
fof(f4,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ~ r1(X0,X1)
| ( ( ~ ( p100(X1)
& ~ p101(X1) )
| ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p102(X0)
& ~ p2(X0)
& p101(X0) ) )
& ~ ! [X0] :
( ~ ( ~ p102(X0)
& p2(X0)
& p101(X0) )
| ~ r1(X1,X0) ) ) )
& ( ( ( ! [X0] :
( ~ p1(X0)
| ~ r1(X1,X0)
| ~ p100(X0) )
| p1(X1) )
& ( ~ p1(X1)
| ! [X0] :
( ~ p100(X0)
| ~ r1(X1,X0)
| p1(X0) ) ) )
| ~ p100(X1) )
& ( p100(X1)
| ~ p101(X1) )
& ( p101(X1)
| ~ p102(X1) )
& ( ~ p101(X1)
| ( ( p2(X1)
| ! [X0] :
( ~ p2(X0)
| ~ r1(X1,X0)
| ~ p101(X0) ) )
& ( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0)
| ~ p101(X0) ) ) ) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1) ) ),
inference(negated_conjecture,[],[f3]) ).
fof(f3,conjecture,
~ ? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ~ r1(X0,X1)
| ( ( ~ ( p100(X1)
& ~ p101(X1) )
| ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p102(X0)
& ~ p2(X0)
& p101(X0) ) )
& ~ ! [X0] :
( ~ ( ~ p102(X0)
& p2(X0)
& p101(X0) )
| ~ r1(X1,X0) ) ) )
& ( ( ( ! [X0] :
( ~ p1(X0)
| ~ r1(X1,X0)
| ~ p100(X0) )
| p1(X1) )
& ( ~ p1(X1)
| ! [X0] :
( ~ p100(X0)
| ~ r1(X1,X0)
| p1(X0) ) ) )
| ~ p100(X1) )
& ( p100(X1)
| ~ p101(X1) )
& ( p101(X1)
| ~ p102(X1) )
& ( ~ p101(X1)
| ( ( p2(X1)
| ! [X0] :
( ~ p2(X0)
| ~ r1(X1,X0)
| ~ p101(X0) ) )
& ( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0)
| ~ p101(X0) ) ) ) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f56,plain,
( ~ p100(sK0)
| ~ r1(sK0,sK0) ),
inference(subsumption_resolution,[],[f55,f32]) ).
fof(f32,plain,
~ p101(sK0),
inference(cnf_transformation,[],[f17]) ).
fof(f55,plain,
( p101(sK0)
| ~ p100(sK0)
| ~ r1(sK0,sK0) ),
inference(resolution,[],[f54,f22]) ).
fof(f22,plain,
! [X2] :
( ~ p2(sK2(X2))
| ~ r1(sK0,X2)
| ~ p100(X2)
| p101(X2) ),
inference(cnf_transformation,[],[f17]) ).
fof(f54,plain,
p2(sK2(sK0)),
inference(subsumption_resolution,[],[f53,f32]) ).
fof(f53,plain,
( p2(sK2(sK0))
| p101(sK0) ),
inference(subsumption_resolution,[],[f52,f19]) ).
fof(f52,plain,
( ~ r1(sK0,sK0)
| p2(sK2(sK0))
| p101(sK0) ),
inference(subsumption_resolution,[],[f39,f31]) ).
fof(f39,plain,
( ~ p100(sK0)
| p101(sK0)
| ~ r1(sK0,sK0)
| p2(sK2(sK0)) ),
inference(resolution,[],[f20,f33]) ).
fof(f33,plain,
! [X1] :
( ~ r1(sK0,X1)
| p2(X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f20,plain,
! [X2] :
( r1(X2,sK2(X2))
| ~ r1(sK0,X2)
| p101(X2)
| ~ p100(X2) ),
inference(cnf_transformation,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LCL674+1.001 : TPTP v8.1.0. Released v4.0.0.
% 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
% 0.13/0.34 % Computer : n017.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 01:49:50 EDT 2022
% 0.13/0.34 % CPUTime :
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% 0.19/0.48 ipcrm: permission denied for id (445841514)
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% 0.19/0.49 ipcrm: permission denied for id (445972590)
% 0.19/0.49 ipcrm: permission denied for id (448856175)
% 0.19/0.49 ipcrm: permission denied for id (448888944)
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% 0.19/0.49 ipcrm: permission denied for id (448987251)
% 0.19/0.50 ipcrm: permission denied for id (446038132)
% 0.19/0.50 ipcrm: permission denied for id (446070901)
% 0.19/0.50 ipcrm: permission denied for id (449052791)
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% 0.19/0.50 ipcrm: permission denied for id (446136442)
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% 0.78/0.62 % (30151)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/13Mi)
% 0.78/0.62 % (30151)First to succeed.
% 0.98/0.64 % (30175)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/8Mi)
% 0.98/0.64 % (30151)Refutation found. Thanks to Tanya!
% 0.98/0.64 % SZS status Theorem for theBenchmark
% 0.98/0.64 % SZS output start Proof for theBenchmark
% See solution above
% 0.98/0.64 % (30151)------------------------------
% 0.98/0.64 % (30151)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.98/0.64 % (30151)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.98/0.64 % (30151)Termination reason: Refutation
% 0.98/0.64
% 0.98/0.64 % (30151)Memory used [KB]: 6012
% 0.98/0.64 % (30151)Time elapsed: 0.078 s
% 0.98/0.64 % (30151)Instructions burned: 2 (million)
% 0.98/0.64 % (30151)------------------------------
% 0.98/0.64 % (30151)------------------------------
% 0.98/0.64 % (30013)Success in time 0.288 s
%------------------------------------------------------------------------------