TSTP Solution File: PUZ129+2 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : PUZ129+2 : 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 : n001.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 18:11:23 EDT 2022
% Result : Theorem 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 9
% Syntax : Number of formulae : 52 ( 6 unt; 0 def)
% Number of atoms : 387 ( 98 equ)
% Maximal formula atoms : 36 ( 7 avg)
% Number of connectives : 502 ( 167 ~; 136 |; 158 &)
% ( 0 <=>; 41 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-1 aty)
% Number of variables : 180 ( 116 !; 64 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f78,plain,
$false,
inference(subsumption_resolution,[],[f77,f34]) ).
fof(f34,plain,
grocer(sK4),
inference(definition_unfolding,[],[f27,f26]) ).
fof(f26,plain,
sK3 = sK4,
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
( ! [X0] :
( ( property1(sK0(X0),honest,pos)
& sK0(X0) = X0 )
| ~ grocer(X0)
| ~ property1(X0,industrious,pos) )
& ! [X2] :
( ~ person(X2)
| ~ property1(X2,honest,pos)
| ~ property1(X2,industrious,pos)
| ( property1(sK1(X2),healthy,pos)
& sK1(X2) = X2 ) )
& ! [X4] :
( ( sK2(X4) = X4
& person(sK2(X4)) )
| ~ grocer(X4) )
& grocer(sK3)
& sK3 = sK4
& cyclist(sK4)
& ! [X8] :
( ( sK5(X8) = X8
& property1(sK5(X8),industrious,pos) )
| ~ cyclist(X8) )
& ! [X10] :
( ~ property1(X10,healthy,pos)
| ! [X11] :
( X10 != X11
| ~ property1(X11,unhealthy,pos) )
| ~ person(X10) )
& ! [X12] :
( ( sK6(X12) = X12
& property1(sK6(X12),dishonest,pos) )
| ~ cyclist(X12)
| ~ property1(X12,unhealthy,pos) )
& ! [X14] :
( ~ person(X14)
| ! [X15] :
( X14 != X15
| ~ property1(X15,dishonest,pos) )
| ~ property1(X14,honest,pos) )
& ! [X16] :
( ! [X17] :
( X16 != X17
| ~ property1(X17,healthy,pos) )
| ~ grocer(X16) )
& ! [X18] :
( ~ cyclist(X18)
| ( person(sK7(X18))
& sK7(X18) = X18 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7])],[f6,f14,f13,f12,f11,f10,f9,f8,f7]) ).
fof(f7,plain,
! [X0] :
( ? [X1] :
( property1(X1,honest,pos)
& X0 = X1 )
=> ( property1(sK0(X0),honest,pos)
& sK0(X0) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
! [X2] :
( ? [X3] :
( property1(X3,healthy,pos)
& X2 = X3 )
=> ( property1(sK1(X2),healthy,pos)
& sK1(X2) = X2 ) ),
introduced(choice_axiom,[]) ).
fof(f9,plain,
! [X4] :
( ? [X5] :
( X4 = X5
& person(X5) )
=> ( sK2(X4) = X4
& person(sK2(X4)) ) ),
introduced(choice_axiom,[]) ).
fof(f10,plain,
( ? [X6] :
( grocer(X6)
& ? [X7] :
( X6 = X7
& cyclist(X7) ) )
=> ( grocer(sK3)
& ? [X7] :
( sK3 = X7
& cyclist(X7) ) ) ),
introduced(choice_axiom,[]) ).
fof(f11,plain,
( ? [X7] :
( sK3 = X7
& cyclist(X7) )
=> ( sK3 = sK4
& cyclist(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
! [X8] :
( ? [X9] :
( X8 = X9
& property1(X9,industrious,pos) )
=> ( sK5(X8) = X8
& property1(sK5(X8),industrious,pos) ) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
! [X12] :
( ? [X13] :
( X12 = X13
& property1(X13,dishonest,pos) )
=> ( sK6(X12) = X12
& property1(sK6(X12),dishonest,pos) ) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
! [X18] :
( ? [X19] :
( person(X19)
& X18 = X19 )
=> ( person(sK7(X18))
& sK7(X18) = X18 ) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
( ! [X0] :
( ? [X1] :
( property1(X1,honest,pos)
& X0 = X1 )
| ~ grocer(X0)
| ~ property1(X0,industrious,pos) )
& ! [X2] :
( ~ person(X2)
| ~ property1(X2,honest,pos)
| ~ property1(X2,industrious,pos)
| ? [X3] :
( property1(X3,healthy,pos)
& X2 = X3 ) )
& ! [X4] :
( ? [X5] :
( X4 = X5
& person(X5) )
| ~ grocer(X4) )
& ? [X6] :
( grocer(X6)
& ? [X7] :
( X6 = X7
& cyclist(X7) ) )
& ! [X8] :
( ? [X9] :
( X8 = X9
& property1(X9,industrious,pos) )
| ~ cyclist(X8) )
& ! [X10] :
( ~ property1(X10,healthy,pos)
| ! [X11] :
( X10 != X11
| ~ property1(X11,unhealthy,pos) )
| ~ person(X10) )
& ! [X12] :
( ? [X13] :
( X12 = X13
& property1(X13,dishonest,pos) )
| ~ cyclist(X12)
| ~ property1(X12,unhealthy,pos) )
& ! [X14] :
( ~ person(X14)
| ! [X15] :
( X14 != X15
| ~ property1(X15,dishonest,pos) )
| ~ property1(X14,honest,pos) )
& ! [X16] :
( ! [X17] :
( X16 != X17
| ~ property1(X17,healthy,pos) )
| ~ grocer(X16) )
& ! [X18] :
( ~ cyclist(X18)
| ? [X19] :
( person(X19)
& X18 = X19 ) ) ),
inference(rectify,[],[f5]) ).
fof(f5,plain,
( ! [X14] :
( ? [X15] :
( property1(X15,honest,pos)
& X14 = X15 )
| ~ grocer(X14)
| ~ property1(X14,industrious,pos) )
& ! [X8] :
( ~ person(X8)
| ~ property1(X8,honest,pos)
| ~ property1(X8,industrious,pos)
| ? [X9] :
( property1(X9,healthy,pos)
& X8 = X9 ) )
& ! [X6] :
( ? [X7] :
( X6 = X7
& person(X7) )
| ~ grocer(X6) )
& ? [X18] :
( grocer(X18)
& ? [X19] :
( X18 = X19
& cyclist(X19) ) )
& ! [X10] :
( ? [X11] :
( X10 = X11
& property1(X11,industrious,pos) )
| ~ cyclist(X10) )
& ! [X2] :
( ~ property1(X2,healthy,pos)
| ! [X3] :
( X2 != X3
| ~ property1(X3,unhealthy,pos) )
| ~ person(X2) )
& ! [X16] :
( ? [X17] :
( X16 = X17
& property1(X17,dishonest,pos) )
| ~ cyclist(X16)
| ~ property1(X16,unhealthy,pos) )
& ! [X0] :
( ~ person(X0)
| ! [X1] :
( X0 != X1
| ~ property1(X1,dishonest,pos) )
| ~ property1(X0,honest,pos) )
& ! [X4] :
( ! [X5] :
( X4 != X5
| ~ property1(X5,healthy,pos) )
| ~ grocer(X4) )
& ! [X12] :
( ~ cyclist(X12)
| ? [X13] :
( person(X13)
& X12 = X13 ) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
( ? [X18] :
( grocer(X18)
& ? [X19] :
( X18 = X19
& cyclist(X19) ) )
& ! [X12] :
( ~ cyclist(X12)
| ? [X13] :
( person(X13)
& X12 = X13 ) )
& ! [X8] :
( ? [X9] :
( property1(X9,healthy,pos)
& X8 = X9 )
| ~ person(X8)
| ~ property1(X8,industrious,pos)
| ~ property1(X8,honest,pos) )
& ! [X10] :
( ? [X11] :
( X10 = X11
& property1(X11,industrious,pos) )
| ~ cyclist(X10) )
& ! [X4] :
( ! [X5] :
( X4 != X5
| ~ property1(X5,healthy,pos) )
| ~ grocer(X4) )
& ! [X2] :
( ! [X3] :
( X2 != X3
| ~ property1(X3,unhealthy,pos) )
| ~ person(X2)
| ~ property1(X2,healthy,pos) )
& ! [X16] :
( ? [X17] :
( X16 = X17
& property1(X17,dishonest,pos) )
| ~ cyclist(X16)
| ~ property1(X16,unhealthy,pos) )
& ! [X14] :
( ? [X15] :
( property1(X15,honest,pos)
& X14 = X15 )
| ~ grocer(X14)
| ~ property1(X14,industrious,pos) )
& ! [X6] :
( ? [X7] :
( X6 = X7
& person(X7) )
| ~ grocer(X6) )
& ! [X0] :
( ! [X1] :
( X0 != X1
| ~ property1(X1,dishonest,pos) )
| ~ person(X0)
| ~ property1(X0,honest,pos) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ( ! [X12] :
( cyclist(X12)
=> ? [X13] :
( person(X13)
& X12 = X13 ) )
& ! [X8] :
( ( person(X8)
& property1(X8,industrious,pos)
& property1(X8,honest,pos) )
=> ? [X9] :
( property1(X9,healthy,pos)
& X8 = X9 ) )
& ! [X10] :
( cyclist(X10)
=> ? [X11] :
( X10 = X11
& property1(X11,industrious,pos) ) )
& ! [X4] :
( grocer(X4)
=> ~ ? [X5] :
( X4 = X5
& property1(X5,healthy,pos) ) )
& ! [X2] :
( ( person(X2)
& property1(X2,healthy,pos) )
=> ~ ? [X3] :
( property1(X3,unhealthy,pos)
& X2 = X3 ) )
& ! [X16] :
( ( cyclist(X16)
& property1(X16,unhealthy,pos) )
=> ? [X17] :
( X16 = X17
& property1(X17,dishonest,pos) ) )
& ! [X14] :
( ( grocer(X14)
& property1(X14,industrious,pos) )
=> ? [X15] :
( property1(X15,honest,pos)
& X14 = X15 ) )
& ! [X6] :
( grocer(X6)
=> ? [X7] :
( X6 = X7
& person(X7) ) )
& ! [X0] :
( ( person(X0)
& property1(X0,honest,pos) )
=> ~ ? [X1] :
( property1(X1,dishonest,pos)
& X0 = X1 ) ) )
=> ! [X18] :
( grocer(X18)
=> ~ ? [X19] :
( X18 = X19
& cyclist(X19) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ( ! [X12] :
( ( person(X12)
& property1(X12,honest,pos) )
=> ~ ? [X13] :
( X12 = X13
& property1(X13,dishonest,pos) ) )
& ! [X10] :
( ( person(X10)
& property1(X10,healthy,pos) )
=> ~ ? [X11] :
( X10 = X11
& property1(X11,unhealthy,pos) ) )
& ! [X2] :
( grocer(X2)
=> ~ ? [X3] :
( X2 = X3
& property1(X3,healthy,pos) ) )
& ! [X14] :
( grocer(X14)
=> ? [X15] :
( person(X15)
& X14 = X15 ) )
& ! [X0] :
( ( person(X0)
& property1(X0,honest,pos)
& property1(X0,industrious,pos) )
=> ? [X1] :
( X0 = X1
& property1(X1,healthy,pos) ) )
& ! [X6] :
( cyclist(X6)
=> ? [X7] :
( property1(X7,industrious,pos)
& X6 = X7 ) )
& ! [X16] :
( cyclist(X16)
=> ? [X17] :
( person(X17)
& X16 = X17 ) )
& ! [X4] :
( ( property1(X4,industrious,pos)
& grocer(X4) )
=> ? [X5] :
( X4 = X5
& property1(X5,honest,pos) ) )
& ! [X8] :
( ( cyclist(X8)
& property1(X8,unhealthy,pos) )
=> ? [X9] :
( property1(X9,dishonest,pos)
& X8 = X9 ) ) )
=> ! [X18] :
( grocer(X18)
=> ~ ? [X19] :
( X18 = X19
& cyclist(X19) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ( ! [X12] :
( ( person(X12)
& property1(X12,honest,pos) )
=> ~ ? [X13] :
( X12 = X13
& property1(X13,dishonest,pos) ) )
& ! [X10] :
( ( person(X10)
& property1(X10,healthy,pos) )
=> ~ ? [X11] :
( X10 = X11
& property1(X11,unhealthy,pos) ) )
& ! [X2] :
( grocer(X2)
=> ~ ? [X3] :
( X2 = X3
& property1(X3,healthy,pos) ) )
& ! [X14] :
( grocer(X14)
=> ? [X15] :
( person(X15)
& X14 = X15 ) )
& ! [X0] :
( ( person(X0)
& property1(X0,honest,pos)
& property1(X0,industrious,pos) )
=> ? [X1] :
( X0 = X1
& property1(X1,healthy,pos) ) )
& ! [X6] :
( cyclist(X6)
=> ? [X7] :
( property1(X7,industrious,pos)
& X6 = X7 ) )
& ! [X16] :
( cyclist(X16)
=> ? [X17] :
( person(X17)
& X16 = X17 ) )
& ! [X4] :
( ( property1(X4,industrious,pos)
& grocer(X4) )
=> ? [X5] :
( X4 = X5
& property1(X5,honest,pos) ) )
& ! [X8] :
( ( cyclist(X8)
& property1(X8,unhealthy,pos) )
=> ? [X9] :
( property1(X9,dishonest,pos)
& X8 = X9 ) ) )
=> ! [X18] :
( grocer(X18)
=> ~ ? [X19] :
( X18 = X19
& cyclist(X19) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove) ).
fof(f27,plain,
grocer(sK3),
inference(cnf_transformation,[],[f15]) ).
fof(f77,plain,
~ grocer(sK4),
inference(resolution,[],[f73,f25]) ).
fof(f25,plain,
cyclist(sK4),
inference(cnf_transformation,[],[f15]) ).
fof(f73,plain,
! [X0] :
( ~ cyclist(X0)
| ~ grocer(X0) ),
inference(subsumption_resolution,[],[f72,f51]) ).
fof(f51,plain,
! [X0] :
( property1(X0,honest,pos)
| ~ grocer(X0)
| ~ cyclist(X0) ),
inference(subsumption_resolution,[],[f50,f45]) ).
fof(f45,plain,
! [X0] :
( property1(X0,industrious,pos)
| ~ cyclist(X0) ),
inference(duplicate_literal_removal,[],[f44]) ).
fof(f44,plain,
! [X0] :
( ~ cyclist(X0)
| property1(X0,industrious,pos)
| ~ cyclist(X0) ),
inference(superposition,[],[f23,f24]) ).
fof(f24,plain,
! [X8] :
( sK5(X8) = X8
| ~ cyclist(X8) ),
inference(cnf_transformation,[],[f15]) ).
fof(f23,plain,
! [X8] :
( property1(sK5(X8),industrious,pos)
| ~ cyclist(X8) ),
inference(cnf_transformation,[],[f15]) ).
fof(f50,plain,
! [X0] :
( ~ grocer(X0)
| ~ property1(X0,industrious,pos)
| ~ cyclist(X0)
| property1(X0,honest,pos) ),
inference(duplicate_literal_removal,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ~ grocer(X0)
| ~ cyclist(X0)
| ~ property1(X0,industrious,pos)
| property1(X0,honest,pos)
| ~ grocer(X0) ),
inference(superposition,[],[f33,f47]) ).
fof(f47,plain,
! [X1] :
( sK0(X1) = X1
| ~ grocer(X1)
| ~ cyclist(X1) ),
inference(resolution,[],[f32,f45]) ).
fof(f32,plain,
! [X0] :
( ~ property1(X0,industrious,pos)
| ~ grocer(X0)
| sK0(X0) = X0 ),
inference(cnf_transformation,[],[f15]) ).
fof(f33,plain,
! [X0] :
( property1(sK0(X0),honest,pos)
| ~ property1(X0,industrious,pos)
| ~ grocer(X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f72,plain,
! [X0] :
( ~ cyclist(X0)
| ~ grocer(X0)
| ~ property1(X0,honest,pos) ),
inference(subsumption_resolution,[],[f71,f37]) ).
fof(f37,plain,
! [X17] :
( ~ property1(X17,healthy,pos)
| ~ grocer(X17) ),
inference(equality_resolution,[],[f18]) ).
fof(f18,plain,
! [X16,X17] :
( X16 != X17
| ~ property1(X17,healthy,pos)
| ~ grocer(X16) ),
inference(cnf_transformation,[],[f15]) ).
fof(f71,plain,
! [X0] :
( ~ grocer(X0)
| property1(X0,healthy,pos)
| ~ property1(X0,honest,pos)
| ~ cyclist(X0) ),
inference(subsumption_resolution,[],[f70,f45]) ).
fof(f70,plain,
! [X0] :
( ~ property1(X0,industrious,pos)
| property1(X0,healthy,pos)
| ~ cyclist(X0)
| ~ property1(X0,honest,pos)
| ~ grocer(X0) ),
inference(subsumption_resolution,[],[f69,f42]) ).
fof(f42,plain,
! [X0] :
( ~ grocer(X0)
| person(X0) ),
inference(duplicate_literal_removal,[],[f41]) ).
fof(f41,plain,
! [X0] :
( ~ grocer(X0)
| person(X0)
| ~ grocer(X0) ),
inference(superposition,[],[f28,f29]) ).
fof(f29,plain,
! [X4] :
( sK2(X4) = X4
| ~ grocer(X4) ),
inference(cnf_transformation,[],[f15]) ).
fof(f28,plain,
! [X4] :
( person(sK2(X4))
| ~ grocer(X4) ),
inference(cnf_transformation,[],[f15]) ).
fof(f69,plain,
! [X0] :
( property1(X0,healthy,pos)
| ~ cyclist(X0)
| ~ property1(X0,honest,pos)
| ~ grocer(X0)
| ~ person(X0)
| ~ property1(X0,industrious,pos) ),
inference(superposition,[],[f31,f65]) ).
fof(f65,plain,
! [X1] :
( sK1(X1) = X1
| ~ cyclist(X1)
| ~ grocer(X1) ),
inference(duplicate_literal_removal,[],[f63]) ).
fof(f63,plain,
! [X1] :
( ~ grocer(X1)
| sK1(X1) = X1
| ~ cyclist(X1)
| ~ cyclist(X1) ),
inference(resolution,[],[f61,f51]) ).
fof(f61,plain,
! [X1] :
( ~ property1(X1,honest,pos)
| sK1(X1) = X1
| ~ cyclist(X1) ),
inference(subsumption_resolution,[],[f60,f39]) ).
fof(f39,plain,
! [X0] :
( ~ cyclist(X0)
| person(X0) ),
inference(duplicate_literal_removal,[],[f38]) ).
fof(f38,plain,
! [X0] :
( ~ cyclist(X0)
| person(X0)
| ~ cyclist(X0) ),
inference(superposition,[],[f17,f16]) ).
fof(f16,plain,
! [X18] :
( sK7(X18) = X18
| ~ cyclist(X18) ),
inference(cnf_transformation,[],[f15]) ).
fof(f17,plain,
! [X18] :
( person(sK7(X18))
| ~ cyclist(X18) ),
inference(cnf_transformation,[],[f15]) ).
fof(f60,plain,
! [X1] :
( ~ cyclist(X1)
| ~ person(X1)
| sK1(X1) = X1
| ~ property1(X1,honest,pos) ),
inference(resolution,[],[f30,f45]) ).
fof(f30,plain,
! [X2] :
( ~ property1(X2,industrious,pos)
| ~ person(X2)
| ~ property1(X2,honest,pos)
| sK1(X2) = X2 ),
inference(cnf_transformation,[],[f15]) ).
fof(f31,plain,
! [X2] :
( property1(sK1(X2),healthy,pos)
| ~ property1(X2,industrious,pos)
| ~ property1(X2,honest,pos)
| ~ person(X2) ),
inference(cnf_transformation,[],[f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : PUZ129+2 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n001.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 18:57:17 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.49 % (634)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.18/0.49 % (606)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.18/0.49 % (606)First to succeed.
% 0.18/0.50 % (606)Refutation found. Thanks to Tanya!
% 0.18/0.50 % SZS status Theorem for theBenchmark
% 0.18/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50 % (606)------------------------------
% 0.18/0.50 % (606)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (606)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (606)Termination reason: Refutation
% 0.18/0.50
% 0.18/0.50 % (606)Memory used [KB]: 6012
% 0.18/0.50 % (606)Time elapsed: 0.104 s
% 0.18/0.50 % (606)Instructions burned: 3 (million)
% 0.18/0.50 % (606)------------------------------
% 0.18/0.50 % (606)------------------------------
% 0.18/0.50 % (605)Success in time 0.156 s
%------------------------------------------------------------------------------