TSTP Solution File: LCL642+1.001 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL642+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n027.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 : Sun May 5 07:50:54 EDT 2024
% Result : Theorem 0.14s 0.42s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 74
% Syntax : Number of formulae : 364 ( 5 unt; 0 def)
% Number of atoms : 2354 ( 0 equ)
% Maximal formula atoms : 107 ( 6 avg)
% Number of connectives : 3386 (1396 ~;1487 |; 442 &)
% ( 37 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 54 ( 53 usr; 38 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 5 con; 0-1 aty)
% Number of variables : 778 ( 586 !; 192 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2709,plain,
$false,
inference(avatar_sat_refutation,[],[f166,f171,f176,f254,f486,f569,f587,f614,f789,f999,f1043,f1061,f1066,f1101,f1137,f1164,f1200,f1524,f1557,f1686,f1809,f1866,f1877,f1878,f1926,f1948,f1987,f2005,f2103,f2197,f2340,f2345,f2384,f2386,f2507,f2654,f2679,f2704,f2706,f2708]) ).
fof(f2708,plain,
( spl42_71
| ~ spl42_3
| ~ spl42_12 ),
inference(avatar_split_clause,[],[f2707,f218,f168,f548]) ).
fof(f548,plain,
( spl42_71
<=> sP2(sK32) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_71])]) ).
fof(f168,plain,
( spl42_3
<=> sP9(sK32) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_3])]) ).
fof(f218,plain,
( spl42_12
<=> p2(sK32) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_12])]) ).
fof(f2707,plain,
( sP2(sK32)
| ~ spl42_3
| ~ spl42_12 ),
inference(subsumption_resolution,[],[f2342,f170]) ).
fof(f170,plain,
( sP9(sK32)
| ~ spl42_3 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f2342,plain,
( sP2(sK32)
| ~ sP9(sK32)
| ~ spl42_12 ),
inference(resolution,[],[f220,f94]) ).
fof(f94,plain,
! [X0] :
( ~ p2(X0)
| sP2(X0)
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0] :
( ( ! [X1] :
( ~ p2(X1)
| ! [X2] :
( p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
& ~ p2(X0) )
| ( sP3(X0)
& sP2(X0) )
| ~ sP9(X0) ),
inference(rectify,[],[f26]) ).
fof(f26,plain,
! [X5] :
( ( ! [X26] :
( ~ p2(X26)
| ! [X27] :
( p2(X27)
| ~ r1(X26,X27) )
| ~ r1(X5,X26) )
& ~ p2(X5) )
| ( sP3(X5)
& sP2(X5) )
| ~ sP9(X5) ),
inference(nnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X5] :
( ( ! [X26] :
( ~ p2(X26)
| ! [X27] :
( p2(X27)
| ~ r1(X26,X27) )
| ~ r1(X5,X26) )
& ~ p2(X5) )
| ( sP3(X5)
& sP2(X5) )
| ~ sP9(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f220,plain,
( p2(sK32)
| ~ spl42_12 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f2706,plain,
( spl42_267
| ~ spl42_3
| ~ spl42_12 ),
inference(avatar_split_clause,[],[f2705,f218,f168,f1874]) ).
fof(f1874,plain,
( spl42_267
<=> sP3(sK32) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_267])]) ).
fof(f2705,plain,
( sP3(sK32)
| ~ spl42_3
| ~ spl42_12 ),
inference(subsumption_resolution,[],[f2341,f170]) ).
fof(f2341,plain,
( sP3(sK32)
| ~ sP9(sK32)
| ~ spl42_12 ),
inference(resolution,[],[f220,f95]) ).
fof(f95,plain,
! [X0] :
( ~ p2(X0)
| sP3(X0)
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f2704,plain,
( ~ spl42_272
| spl42_292
| ~ spl42_384
| ~ spl42_385 ),
inference(avatar_contradiction_clause,[],[f2703]) ).
fof(f2703,plain,
( $false
| ~ spl42_272
| spl42_292
| ~ spl42_384
| ~ spl42_385 ),
inference(subsumption_resolution,[],[f2702,f2648]) ).
fof(f2648,plain,
( r1(sK24(sK32),sK25(sK32))
| ~ spl42_384 ),
inference(avatar_component_clause,[],[f2647]) ).
fof(f2647,plain,
( spl42_384
<=> r1(sK24(sK32),sK25(sK32)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_384])]) ).
fof(f2702,plain,
( ~ r1(sK24(sK32),sK25(sK32))
| ~ spl42_272
| spl42_292
| ~ spl42_385 ),
inference(resolution,[],[f2683,f1925]) ).
fof(f1925,plain,
( sP7(sK24(sK32))
| ~ spl42_272 ),
inference(avatar_component_clause,[],[f1923]) ).
fof(f1923,plain,
( spl42_272
<=> sP7(sK24(sK32)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_272])]) ).
fof(f2683,plain,
( ! [X0] :
( ~ sP7(X0)
| ~ r1(X0,sK25(sK32)) )
| spl42_292
| ~ spl42_385 ),
inference(subsumption_resolution,[],[f2680,f2064]) ).
fof(f2064,plain,
( ~ p2(sK25(sK32))
| spl42_292 ),
inference(avatar_component_clause,[],[f2063]) ).
fof(f2063,plain,
( spl42_292
<=> p2(sK25(sK32)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_292])]) ).
fof(f2680,plain,
( ! [X0] :
( p2(sK25(sK32))
| ~ r1(X0,sK25(sK32))
| ~ sP7(X0) )
| ~ spl42_385 ),
inference(resolution,[],[f2653,f104]) ).
fof(f104,plain,
! [X0,X1] :
( ~ p2(sK15(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0] :
( ! [X1] :
( ( p2(sK14(X1))
& ~ p2(sK15(X1))
& r1(sK14(X1),sK15(X1))
& r1(X1,sK14(X1)) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP7(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15])],[f33,f35,f34]) ).
fof(f34,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK14(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK14(X1),X3) )
& r1(X1,sK14(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK14(X1),X3) )
=> ( ~ p2(sK15(X1))
& r1(sK14(X1),sK15(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP7(X0) ),
inference(rectify,[],[f32]) ).
fof(f32,plain,
! [X6] :
( ! [X9] :
( ? [X10] :
( p2(X10)
& ? [X11] :
( ~ p2(X11)
& r1(X10,X11) )
& r1(X9,X10) )
| p2(X9)
| ~ r1(X6,X9) )
| ~ sP7(X6) ),
inference(nnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X6] :
( ! [X9] :
( ? [X10] :
( p2(X10)
& ? [X11] :
( ~ p2(X11)
& r1(X10,X11) )
& r1(X9,X10) )
| p2(X9)
| ~ r1(X6,X9) )
| ~ sP7(X6) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f2653,plain,
( p2(sK15(sK25(sK32)))
| ~ spl42_385 ),
inference(avatar_component_clause,[],[f2651]) ).
fof(f2651,plain,
( spl42_385
<=> p2(sK15(sK25(sK32))) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_385])]) ).
fof(f2679,plain,
( ~ spl42_71
| spl42_384 ),
inference(avatar_contradiction_clause,[],[f2678]) ).
fof(f2678,plain,
( $false
| ~ spl42_71
| spl42_384 ),
inference(subsumption_resolution,[],[f2677,f550]) ).
fof(f550,plain,
( sP2(sK32)
| ~ spl42_71 ),
inference(avatar_component_clause,[],[f548]) ).
fof(f2677,plain,
( ~ sP2(sK32)
| spl42_384 ),
inference(resolution,[],[f2649,f123]) ).
fof(f123,plain,
! [X0] :
( r1(sK24(X0),sK25(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0] :
( ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK25(X0),X3) )
& ~ p2(sK25(X0))
& r1(sK24(X0),sK25(X0))
& r1(X0,sK24(X0)) )
| ~ sP2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24,sK25])],[f58,f60,f59]) ).
fof(f59,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
& r1(X0,X1) )
=> ( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(sK24(X0),X2) )
& r1(X0,sK24(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
! [X0] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(sK24(X0),X2) )
=> ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK25(X0),X3) )
& ~ p2(sK25(X0))
& r1(sK24(X0),sK25(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
& r1(X0,X1) )
| ~ sP2(X0) ),
inference(rectify,[],[f57]) ).
fof(f57,plain,
! [X5] :
( ? [X31] :
( ? [X32] :
( ! [X33] :
( ~ p2(X33)
| ! [X34] :
( p2(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
& ~ p2(X32)
& r1(X31,X32) )
& r1(X5,X31) )
| ~ sP2(X5) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X5] :
( ? [X31] :
( ? [X32] :
( ! [X33] :
( ~ p2(X33)
| ! [X34] :
( p2(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
& ~ p2(X32)
& r1(X31,X32) )
& r1(X5,X31) )
| ~ sP2(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f2649,plain,
( ~ r1(sK24(sK32),sK25(sK32))
| spl42_384 ),
inference(avatar_component_clause,[],[f2647]) ).
fof(f2654,plain,
( ~ spl42_384
| spl42_385
| ~ spl42_71
| ~ spl42_272
| spl42_292 ),
inference(avatar_split_clause,[],[f2645,f2063,f1923,f548,f2651,f2647]) ).
fof(f2645,plain,
( p2(sK15(sK25(sK32)))
| ~ r1(sK24(sK32),sK25(sK32))
| ~ spl42_71
| ~ spl42_272
| spl42_292 ),
inference(subsumption_resolution,[],[f2640,f2064]) ).
fof(f2640,plain,
( p2(sK15(sK25(sK32)))
| ~ r1(sK24(sK32),sK25(sK32))
| p2(sK25(sK32))
| ~ spl42_71
| ~ spl42_272
| spl42_292 ),
inference(resolution,[],[f2639,f2533]) ).
fof(f2533,plain,
( ! [X0] :
( r1(sK14(X0),sK15(X0))
| ~ r1(sK24(sK32),X0)
| p2(X0) )
| ~ spl42_272 ),
inference(resolution,[],[f1925,f103]) ).
fof(f103,plain,
! [X0,X1] :
( ~ sP7(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(sK14(X1),sK15(X1)) ),
inference(cnf_transformation,[],[f36]) ).
fof(f2639,plain,
( ! [X0] :
( ~ r1(sK14(sK25(sK32)),X0)
| p2(X0) )
| ~ spl42_71
| ~ spl42_272
| spl42_292 ),
inference(subsumption_resolution,[],[f2638,f2554]) ).
fof(f2554,plain,
( p2(sK14(sK25(sK32)))
| ~ spl42_71
| ~ spl42_272
| spl42_292 ),
inference(subsumption_resolution,[],[f2553,f550]) ).
fof(f2553,plain,
( p2(sK14(sK25(sK32)))
| ~ sP2(sK32)
| ~ spl42_272
| spl42_292 ),
inference(subsumption_resolution,[],[f2547,f2064]) ).
fof(f2547,plain,
( p2(sK25(sK32))
| p2(sK14(sK25(sK32)))
| ~ sP2(sK32)
| ~ spl42_272 ),
inference(resolution,[],[f2535,f123]) ).
fof(f2535,plain,
( ! [X0] :
( ~ r1(sK24(sK32),X0)
| p2(X0)
| p2(sK14(X0)) )
| ~ spl42_272 ),
inference(resolution,[],[f1925,f105]) ).
fof(f105,plain,
! [X0,X1] :
( ~ sP7(X0)
| p2(X1)
| ~ r1(X0,X1)
| p2(sK14(X1)) ),
inference(cnf_transformation,[],[f36]) ).
fof(f2638,plain,
( ! [X0] :
( ~ r1(sK14(sK25(sK32)),X0)
| p2(X0)
| ~ p2(sK14(sK25(sK32))) )
| ~ spl42_71
| ~ spl42_272
| spl42_292 ),
inference(resolution,[],[f2579,f1879]) ).
fof(f1879,plain,
( ! [X0,X1] :
( ~ r1(sK25(sK32),X1)
| ~ r1(X1,X0)
| p2(X0)
| ~ p2(X1) )
| ~ spl42_71 ),
inference(resolution,[],[f550,f125]) ).
fof(f125,plain,
! [X3,X0,X4] :
( ~ sP2(X0)
| p2(X4)
| ~ r1(X3,X4)
| ~ r1(sK25(X0),X3)
| ~ p2(X3) ),
inference(cnf_transformation,[],[f61]) ).
fof(f2579,plain,
( r1(sK25(sK32),sK14(sK25(sK32)))
| ~ spl42_71
| ~ spl42_272
| spl42_292 ),
inference(subsumption_resolution,[],[f2578,f550]) ).
fof(f2578,plain,
( r1(sK25(sK32),sK14(sK25(sK32)))
| ~ sP2(sK32)
| ~ spl42_272
| spl42_292 ),
inference(subsumption_resolution,[],[f2572,f2064]) ).
fof(f2572,plain,
( p2(sK25(sK32))
| r1(sK25(sK32),sK14(sK25(sK32)))
| ~ sP2(sK32)
| ~ spl42_272 ),
inference(resolution,[],[f2534,f123]) ).
fof(f2534,plain,
( ! [X0] :
( ~ r1(sK24(sK32),X0)
| p2(X0)
| r1(X0,sK14(X0)) )
| ~ spl42_272 ),
inference(resolution,[],[f1925,f102]) ).
fof(f102,plain,
! [X0,X1] :
( ~ sP7(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(X1,sK14(X1)) ),
inference(cnf_transformation,[],[f36]) ).
fof(f2507,plain,
( ~ spl42_71
| ~ spl42_271
| spl42_292
| ~ spl42_311
| ~ spl42_312 ),
inference(avatar_contradiction_clause,[],[f2506]) ).
fof(f2506,plain,
( $false
| ~ spl42_71
| ~ spl42_271
| spl42_292
| ~ spl42_311
| ~ spl42_312 ),
inference(subsumption_resolution,[],[f2505,f2380]) ).
fof(f2380,plain,
( sP5(sK25(sK32))
| ~ spl42_71
| ~ spl42_271 ),
inference(subsumption_resolution,[],[f2375,f550]) ).
fof(f2375,plain,
( sP5(sK25(sK32))
| ~ sP2(sK32)
| ~ spl42_271 ),
inference(resolution,[],[f2374,f123]) ).
fof(f2374,plain,
( ! [X0] :
( ~ r1(sK24(sK32),X0)
| sP5(X0) )
| ~ spl42_271 ),
inference(resolution,[],[f1920,f101]) ).
fof(f101,plain,
! [X0,X1] :
( ~ sP8(X0)
| ~ r1(X0,X1)
| sP5(X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0] :
( ! [X1] :
( ( sP5(X1)
& ( ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK13(X1),X3) )
& ~ p2(sK13(X1))
& r1(X1,sK13(X1)) )
| sP4(X1) ) )
| ~ r1(X0,X1) )
| ~ sP8(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f29,f30]) ).
fof(f30,plain,
! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
=> ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK13(X1),X3) )
& ~ p2(sK13(X1))
& r1(X1,sK13(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
! [X0] :
( ! [X1] :
( ( sP5(X1)
& ( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| sP4(X1) ) )
| ~ r1(X0,X1) )
| ~ sP8(X0) ),
inference(rectify,[],[f28]) ).
fof(f28,plain,
! [X6] :
( ! [X16] :
( ( sP5(X16)
& ( ? [X19] :
( ! [X20] :
( ~ p2(X20)
| ! [X21] :
( p2(X21)
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
& ~ p2(X19)
& r1(X16,X19) )
| sP4(X16) ) )
| ~ r1(X6,X16) )
| ~ sP8(X6) ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X6] :
( ! [X16] :
( ( sP5(X16)
& ( ? [X19] :
( ! [X20] :
( ~ p2(X20)
| ! [X21] :
( p2(X21)
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
& ~ p2(X19)
& r1(X16,X19) )
| sP4(X16) ) )
| ~ r1(X6,X16) )
| ~ sP8(X6) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f1920,plain,
( sP8(sK24(sK32))
| ~ spl42_271 ),
inference(avatar_component_clause,[],[f1918]) ).
fof(f1918,plain,
( spl42_271
<=> sP8(sK24(sK32)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_271])]) ).
fof(f2505,plain,
( ~ sP5(sK25(sK32))
| ~ spl42_71
| ~ spl42_271
| spl42_292
| ~ spl42_311
| ~ spl42_312 ),
inference(subsumption_resolution,[],[f2502,f2064]) ).
fof(f2502,plain,
( p2(sK25(sK32))
| ~ sP5(sK25(sK32))
| ~ spl42_71
| ~ spl42_271
| spl42_292
| ~ spl42_311
| ~ spl42_312 ),
inference(resolution,[],[f2479,f112]) ).
fof(f112,plain,
! [X0] :
( ~ p2(sK19(X0))
| p2(X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0] :
( ( p2(sK18(X0))
& ~ p2(sK19(X0))
& r1(sK18(X0),sK19(X0))
& r1(X0,sK18(X0)) )
| p2(X0)
| ~ sP5(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19])],[f43,f45,f44]) ).
fof(f44,plain,
! [X0] :
( ? [X1] :
( p2(X1)
& ? [X2] :
( ~ p2(X2)
& r1(X1,X2) )
& r1(X0,X1) )
=> ( p2(sK18(X0))
& ? [X2] :
( ~ p2(X2)
& r1(sK18(X0),X2) )
& r1(X0,sK18(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
! [X0] :
( ? [X2] :
( ~ p2(X2)
& r1(sK18(X0),X2) )
=> ( ~ p2(sK19(X0))
& r1(sK18(X0),sK19(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
! [X0] :
( ? [X1] :
( p2(X1)
& ? [X2] :
( ~ p2(X2)
& r1(X1,X2) )
& r1(X0,X1) )
| p2(X0)
| ~ sP5(X0) ),
inference(rectify,[],[f42]) ).
fof(f42,plain,
! [X16] :
( ? [X17] :
( p2(X17)
& ? [X18] :
( ~ p2(X18)
& r1(X17,X18) )
& r1(X16,X17) )
| p2(X16)
| ~ sP5(X16) ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X16] :
( ? [X17] :
( p2(X17)
& ? [X18] :
( ~ p2(X18)
& r1(X17,X18) )
& r1(X16,X17) )
| p2(X16)
| ~ sP5(X16) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f2479,plain,
( p2(sK19(sK25(sK32)))
| ~ spl42_71
| ~ spl42_271
| spl42_292
| ~ spl42_311
| ~ spl42_312 ),
inference(subsumption_resolution,[],[f2478,f2380]) ).
fof(f2478,plain,
( p2(sK19(sK25(sK32)))
| ~ sP5(sK25(sK32))
| ~ spl42_71
| spl42_292
| ~ spl42_311
| ~ spl42_312 ),
inference(subsumption_resolution,[],[f2473,f2064]) ).
fof(f2473,plain,
( p2(sK19(sK25(sK32)))
| p2(sK25(sK32))
| ~ sP5(sK25(sK32))
| ~ spl42_71
| ~ spl42_311
| ~ spl42_312 ),
inference(resolution,[],[f2433,f111]) ).
fof(f111,plain,
! [X0] :
( r1(sK18(X0),sK19(X0))
| p2(X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f2433,plain,
( ! [X0] :
( ~ r1(sK18(sK25(sK32)),X0)
| p2(X0) )
| ~ spl42_71
| ~ spl42_311
| ~ spl42_312 ),
inference(subsumption_resolution,[],[f2432,f2191]) ).
fof(f2191,plain,
( p2(sK18(sK25(sK32)))
| ~ spl42_312 ),
inference(avatar_component_clause,[],[f2189]) ).
fof(f2189,plain,
( spl42_312
<=> p2(sK18(sK25(sK32))) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_312])]) ).
fof(f2432,plain,
( ! [X0] :
( ~ r1(sK18(sK25(sK32)),X0)
| p2(X0)
| ~ p2(sK18(sK25(sK32))) )
| ~ spl42_71
| ~ spl42_311 ),
inference(resolution,[],[f2186,f1879]) ).
fof(f2186,plain,
( r1(sK25(sK32),sK18(sK25(sK32)))
| ~ spl42_311 ),
inference(avatar_component_clause,[],[f2184]) ).
fof(f2184,plain,
( spl42_311
<=> r1(sK25(sK32),sK18(sK25(sK32))) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_311])]) ).
fof(f2386,plain,
( spl42_312
| ~ spl42_71
| ~ spl42_271
| spl42_292 ),
inference(avatar_split_clause,[],[f2385,f2063,f1918,f548,f2189]) ).
fof(f2385,plain,
( p2(sK18(sK25(sK32)))
| ~ spl42_71
| ~ spl42_271
| spl42_292 ),
inference(subsumption_resolution,[],[f2382,f2064]) ).
fof(f2382,plain,
( p2(sK25(sK32))
| p2(sK18(sK25(sK32)))
| ~ spl42_71
| ~ spl42_271 ),
inference(resolution,[],[f2380,f113]) ).
fof(f113,plain,
! [X0] :
( ~ sP5(X0)
| p2(X0)
| p2(sK18(X0)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f2384,plain,
( spl42_311
| ~ spl42_71
| ~ spl42_271
| spl42_292 ),
inference(avatar_split_clause,[],[f2383,f2063,f1918,f548,f2184]) ).
fof(f2383,plain,
( r1(sK25(sK32),sK18(sK25(sK32)))
| ~ spl42_71
| ~ spl42_271
| spl42_292 ),
inference(subsumption_resolution,[],[f2381,f2064]) ).
fof(f2381,plain,
( p2(sK25(sK32))
| r1(sK25(sK32),sK18(sK25(sK32)))
| ~ spl42_71
| ~ spl42_271 ),
inference(resolution,[],[f2380,f110]) ).
fof(f110,plain,
! [X0] :
( ~ sP5(X0)
| p2(X0)
| r1(X0,sK18(X0)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f2345,plain,
( ~ spl42_71
| ~ spl42_267
| spl42_269
| ~ spl42_276 ),
inference(avatar_contradiction_clause,[],[f2344]) ).
fof(f2344,plain,
( $false
| ~ spl42_71
| ~ spl42_267
| spl42_269
| ~ spl42_276 ),
inference(subsumption_resolution,[],[f2343,f1880]) ).
fof(f1880,plain,
( r1(sK32,sK24(sK32))
| ~ spl42_71 ),
inference(resolution,[],[f550,f122]) ).
fof(f122,plain,
! [X0] :
( ~ sP2(X0)
| r1(X0,sK24(X0)) ),
inference(cnf_transformation,[],[f61]) ).
fof(f2343,plain,
( ~ r1(sK32,sK24(sK32))
| ~ spl42_71
| ~ spl42_267
| spl42_269
| ~ spl42_276 ),
inference(resolution,[],[f2323,f1876]) ).
fof(f1876,plain,
( sP3(sK32)
| ~ spl42_267 ),
inference(avatar_component_clause,[],[f1874]) ).
fof(f2323,plain,
( ! [X0] :
( ~ sP3(X0)
| ~ r1(X0,sK24(sK32)) )
| ~ spl42_71
| ~ spl42_267
| spl42_269
| ~ spl42_276 ),
inference(subsumption_resolution,[],[f2320,f1912]) ).
fof(f1912,plain,
( ~ p2(sK24(sK32))
| spl42_269 ),
inference(avatar_component_clause,[],[f1910]) ).
fof(f1910,plain,
( spl42_269
<=> p2(sK24(sK32)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_269])]) ).
fof(f2320,plain,
( ! [X0] :
( p2(sK24(sK32))
| ~ r1(X0,sK24(sK32))
| ~ sP3(X0) )
| ~ spl42_71
| ~ spl42_267
| spl42_269
| ~ spl42_276 ),
inference(resolution,[],[f2297,f120]) ).
fof(f120,plain,
! [X0,X1] :
( ~ p2(sK23(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ! [X1] :
( ( p2(sK22(X1))
& ~ p2(sK23(X1))
& r1(sK22(X1),sK23(X1))
& r1(X1,sK22(X1)) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP3(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22,sK23])],[f53,f55,f54]) ).
fof(f54,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK22(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK22(X1),X3) )
& r1(X1,sK22(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK22(X1),X3) )
=> ( ~ p2(sK23(X1))
& r1(sK22(X1),sK23(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP3(X0) ),
inference(rectify,[],[f52]) ).
fof(f52,plain,
! [X5] :
( ! [X28] :
( ? [X29] :
( p2(X29)
& ? [X30] :
( ~ p2(X30)
& r1(X29,X30) )
& r1(X28,X29) )
| p2(X28)
| ~ r1(X5,X28) )
| ~ sP3(X5) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,plain,
! [X5] :
( ! [X28] :
( ? [X29] :
( p2(X29)
& ? [X30] :
( ~ p2(X30)
& r1(X29,X30) )
& r1(X28,X29) )
| p2(X28)
| ~ r1(X5,X28) )
| ~ sP3(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f2297,plain,
( p2(sK23(sK24(sK32)))
| ~ spl42_71
| ~ spl42_267
| spl42_269
| ~ spl42_276 ),
inference(subsumption_resolution,[],[f2296,f1912]) ).
fof(f2296,plain,
( p2(sK23(sK24(sK32)))
| p2(sK24(sK32))
| ~ spl42_71
| ~ spl42_267
| spl42_269
| ~ spl42_276 ),
inference(subsumption_resolution,[],[f2291,f1880]) ).
fof(f2291,plain,
( p2(sK23(sK24(sK32)))
| ~ r1(sK32,sK24(sK32))
| p2(sK24(sK32))
| ~ spl42_71
| ~ spl42_267
| spl42_269
| ~ spl42_276 ),
inference(resolution,[],[f2218,f1884]) ).
fof(f1884,plain,
( ! [X0] :
( r1(sK22(X0),sK23(X0))
| ~ r1(sK32,X0)
| p2(X0) )
| ~ spl42_267 ),
inference(resolution,[],[f1876,f119]) ).
fof(f119,plain,
! [X0,X1] :
( ~ sP3(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(sK22(X1),sK23(X1)) ),
inference(cnf_transformation,[],[f56]) ).
fof(f2218,plain,
( ! [X0] :
( ~ r1(sK22(sK24(sK32)),X0)
| p2(X0) )
| ~ spl42_71
| ~ spl42_267
| spl42_269
| ~ spl42_276 ),
inference(subsumption_resolution,[],[f2213,f1980]) ).
fof(f1980,plain,
( p2(sK22(sK24(sK32)))
| ~ spl42_71
| ~ spl42_267
| spl42_269 ),
inference(subsumption_resolution,[],[f1974,f1912]) ).
fof(f1974,plain,
( p2(sK24(sK32))
| p2(sK22(sK24(sK32)))
| ~ spl42_71
| ~ spl42_267 ),
inference(resolution,[],[f1886,f1880]) ).
fof(f1886,plain,
( ! [X0] :
( ~ r1(sK32,X0)
| p2(X0)
| p2(sK22(X0)) )
| ~ spl42_267 ),
inference(resolution,[],[f1876,f121]) ).
fof(f121,plain,
! [X0,X1] :
( ~ sP3(X0)
| p2(X1)
| ~ r1(X0,X1)
| p2(sK22(X1)) ),
inference(cnf_transformation,[],[f56]) ).
fof(f2213,plain,
( ! [X0] :
( ~ p2(sK22(sK24(sK32)))
| p2(X0)
| ~ r1(sK22(sK24(sK32)),X0) )
| ~ spl42_71
| ~ spl42_267
| spl42_269
| ~ spl42_276 ),
inference(resolution,[],[f1947,f1998]) ).
fof(f1998,plain,
( r1(sK24(sK32),sK22(sK24(sK32)))
| ~ spl42_71
| ~ spl42_267
| spl42_269 ),
inference(subsumption_resolution,[],[f1992,f1912]) ).
fof(f1992,plain,
( p2(sK24(sK32))
| r1(sK24(sK32),sK22(sK24(sK32)))
| ~ spl42_71
| ~ spl42_267 ),
inference(resolution,[],[f1885,f1880]) ).
fof(f1885,plain,
( ! [X0] :
( ~ r1(sK32,X0)
| p2(X0)
| r1(X0,sK22(X0)) )
| ~ spl42_267 ),
inference(resolution,[],[f1876,f118]) ).
fof(f118,plain,
! [X0,X1] :
( ~ sP3(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(X1,sK22(X1)) ),
inference(cnf_transformation,[],[f56]) ).
fof(f1947,plain,
( ! [X0,X1] :
( ~ r1(sK24(sK32),X0)
| ~ p2(X0)
| p2(X1)
| ~ r1(X0,X1) )
| ~ spl42_276 ),
inference(avatar_component_clause,[],[f1946]) ).
fof(f1946,plain,
( spl42_276
<=> ! [X0,X1] :
( ~ r1(X0,X1)
| ~ p2(X0)
| p2(X1)
| ~ r1(sK24(sK32),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_276])]) ).
fof(f2340,plain,
( spl42_86
| ~ spl42_213
| ~ spl42_267
| ~ spl42_298 ),
inference(avatar_contradiction_clause,[],[f2339]) ).
fof(f2339,plain,
( $false
| spl42_86
| ~ spl42_213
| ~ spl42_267
| ~ spl42_298 ),
inference(subsumption_resolution,[],[f2338,f1519]) ).
fof(f1519,plain,
( r1(sK32,sK31(sK32))
| ~ spl42_213 ),
inference(avatar_component_clause,[],[f1518]) ).
fof(f1518,plain,
( spl42_213
<=> r1(sK32,sK31(sK32)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_213])]) ).
fof(f2338,plain,
( ~ r1(sK32,sK31(sK32))
| spl42_86
| ~ spl42_213
| ~ spl42_267
| ~ spl42_298 ),
inference(resolution,[],[f2276,f1876]) ).
fof(f2276,plain,
( ! [X0] :
( ~ sP3(X0)
| ~ r1(X0,sK31(sK32)) )
| spl42_86
| ~ spl42_213
| ~ spl42_267
| ~ spl42_298 ),
inference(subsumption_resolution,[],[f2273,f651]) ).
fof(f651,plain,
( ~ p2(sK31(sK32))
| spl42_86 ),
inference(avatar_component_clause,[],[f650]) ).
fof(f650,plain,
( spl42_86
<=> p2(sK31(sK32)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_86])]) ).
fof(f2273,plain,
( ! [X0] :
( p2(sK31(sK32))
| ~ r1(X0,sK31(sK32))
| ~ sP3(X0) )
| spl42_86
| ~ spl42_213
| ~ spl42_267
| ~ spl42_298 ),
inference(resolution,[],[f2250,f120]) ).
fof(f2250,plain,
( p2(sK23(sK31(sK32)))
| spl42_86
| ~ spl42_213
| ~ spl42_267
| ~ spl42_298 ),
inference(subsumption_resolution,[],[f2249,f651]) ).
fof(f2249,plain,
( p2(sK23(sK31(sK32)))
| p2(sK31(sK32))
| ~ spl42_213
| ~ spl42_267
| ~ spl42_298 ),
inference(subsumption_resolution,[],[f2244,f1519]) ).
fof(f2244,plain,
( p2(sK23(sK31(sK32)))
| ~ r1(sK32,sK31(sK32))
| p2(sK31(sK32))
| ~ spl42_267
| ~ spl42_298 ),
inference(resolution,[],[f2102,f1884]) ).
fof(f2102,plain,
( ! [X0] :
( ~ r1(sK22(sK31(sK32)),X0)
| p2(X0) )
| ~ spl42_298 ),
inference(avatar_component_clause,[],[f2101]) ).
fof(f2101,plain,
( spl42_298
<=> ! [X0] :
( p2(X0)
| ~ r1(sK22(sK31(sK32)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_298])]) ).
fof(f2197,plain,
( ~ spl42_71
| ~ spl42_292 ),
inference(avatar_contradiction_clause,[],[f2196]) ).
fof(f2196,plain,
( $false
| ~ spl42_71
| ~ spl42_292 ),
inference(subsumption_resolution,[],[f2193,f550]) ).
fof(f2193,plain,
( ~ sP2(sK32)
| ~ spl42_292 ),
inference(resolution,[],[f2065,f124]) ).
fof(f124,plain,
! [X0] :
( ~ p2(sK25(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f2065,plain,
( p2(sK25(sK32))
| ~ spl42_292 ),
inference(avatar_component_clause,[],[f2063]) ).
fof(f2103,plain,
( spl42_12
| spl42_298
| ~ spl42_4
| ~ spl42_280
| ~ spl42_281 ),
inference(avatar_split_clause,[],[f2099,f2002,f1984,f173,f2101,f218]) ).
fof(f173,plain,
( spl42_4
<=> r1(sK30,sK32) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_4])]) ).
fof(f1984,plain,
( spl42_280
<=> p2(sK22(sK31(sK32))) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_280])]) ).
fof(f2002,plain,
( spl42_281
<=> r1(sK31(sK32),sK22(sK31(sK32))) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_281])]) ).
fof(f2099,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK22(sK31(sK32)),X0)
| p2(sK32) )
| ~ spl42_4
| ~ spl42_280
| ~ spl42_281 ),
inference(subsumption_resolution,[],[f2098,f175]) ).
fof(f175,plain,
( r1(sK30,sK32)
| ~ spl42_4 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f2098,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK22(sK31(sK32)),X0)
| p2(sK32)
| ~ r1(sK30,sK32) )
| ~ spl42_280
| ~ spl42_281 ),
inference(subsumption_resolution,[],[f2097,f1986]) ).
fof(f1986,plain,
( p2(sK22(sK31(sK32)))
| ~ spl42_280 ),
inference(avatar_component_clause,[],[f1984]) ).
fof(f2097,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK22(sK31(sK32)),X0)
| ~ p2(sK22(sK31(sK32)))
| p2(sK32)
| ~ r1(sK30,sK32) )
| ~ spl42_281 ),
inference(resolution,[],[f2004,f157]) ).
fof(f157,plain,
! [X3,X1,X4] :
( ~ r1(sK31(X1),X3)
| p2(X4)
| ~ r1(X3,X4)
| ~ p2(X3)
| p2(X1)
| ~ r1(sK30,X1) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
( ! [X1] :
( ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK31(X1),X3) )
& ~ p2(sK31(X1))
& r1(X1,sK31(X1)) )
| p2(X1)
| ~ r1(sK30,X1) )
& ( ( sP10(sK32)
& sP9(sK32)
& r1(sK30,sK32) )
| sP11(sK30) )
& ! [X6] :
( ( p1(sK33(X6))
& ~ p1(sK34(X6))
& r1(sK33(X6),sK34(X6))
& r1(X6,sK33(X6)) )
| p1(X6)
| ~ r1(sK30,X6) )
& ~ p1(sK35)
& r1(sK30,sK35)
& ! [X10] :
( ( p2(sK36(X10))
& ~ p2(sK37(X10))
& r1(sK36(X10),sK37(X10))
& r1(X10,sK36(X10)) )
| p2(X10)
| ~ r1(sK30,X10) )
& ~ p2(sK38)
& r1(sK30,sK38)
& ! [X14] :
( ( p3(sK39(X14))
& ~ p3(sK40(X14))
& r1(sK39(X14),sK40(X14))
& r1(X14,sK39(X14)) )
| p3(X14)
| ~ r1(sK30,X14) )
& ~ p3(sK41)
& r1(sK30,sK41) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30,sK31,sK32,sK33,sK34,sK35,sK36,sK37,sK38,sK39,sK40,sK41])],[f72,f84,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73]) ).
fof(f73,plain,
( ? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( sP10(X5)
& sP9(X5)
& r1(X0,X5) )
| sP11(X0) )
& ! [X6] :
( ? [X7] :
( p1(X7)
& ? [X8] :
( ~ p1(X8)
& r1(X7,X8) )
& r1(X6,X7) )
| p1(X6)
| ~ r1(X0,X6) )
& ? [X9] :
( ~ p1(X9)
& r1(X0,X9) )
& ! [X10] :
( ? [X11] :
( p2(X11)
& ? [X12] :
( ~ p2(X12)
& r1(X11,X12) )
& r1(X10,X11) )
| p2(X10)
| ~ r1(X0,X10) )
& ? [X13] :
( ~ p2(X13)
& r1(X0,X13) )
& ! [X14] :
( ? [X15] :
( p3(X15)
& ? [X16] :
( ~ p3(X16)
& r1(X15,X16) )
& r1(X14,X15) )
| p3(X14)
| ~ r1(X0,X14) )
& ? [X17] :
( ~ p3(X17)
& r1(X0,X17) ) )
=> ( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(sK30,X1) )
& ( ? [X5] :
( sP10(X5)
& sP9(X5)
& r1(sK30,X5) )
| sP11(sK30) )
& ! [X6] :
( ? [X7] :
( p1(X7)
& ? [X8] :
( ~ p1(X8)
& r1(X7,X8) )
& r1(X6,X7) )
| p1(X6)
| ~ r1(sK30,X6) )
& ? [X9] :
( ~ p1(X9)
& r1(sK30,X9) )
& ! [X10] :
( ? [X11] :
( p2(X11)
& ? [X12] :
( ~ p2(X12)
& r1(X11,X12) )
& r1(X10,X11) )
| p2(X10)
| ~ r1(sK30,X10) )
& ? [X13] :
( ~ p2(X13)
& r1(sK30,X13) )
& ! [X14] :
( ? [X15] :
( p3(X15)
& ? [X16] :
( ~ p3(X16)
& r1(X15,X16) )
& r1(X14,X15) )
| p3(X14)
| ~ r1(sK30,X14) )
& ? [X17] :
( ~ p3(X17)
& r1(sK30,X17) ) ) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
=> ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK31(X1),X3) )
& ~ p2(sK31(X1))
& r1(X1,sK31(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
( ? [X5] :
( sP10(X5)
& sP9(X5)
& r1(sK30,X5) )
=> ( sP10(sK32)
& sP9(sK32)
& r1(sK30,sK32) ) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
! [X6] :
( ? [X7] :
( p1(X7)
& ? [X8] :
( ~ p1(X8)
& r1(X7,X8) )
& r1(X6,X7) )
=> ( p1(sK33(X6))
& ? [X8] :
( ~ p1(X8)
& r1(sK33(X6),X8) )
& r1(X6,sK33(X6)) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
! [X6] :
( ? [X8] :
( ~ p1(X8)
& r1(sK33(X6),X8) )
=> ( ~ p1(sK34(X6))
& r1(sK33(X6),sK34(X6)) ) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
( ? [X9] :
( ~ p1(X9)
& r1(sK30,X9) )
=> ( ~ p1(sK35)
& r1(sK30,sK35) ) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
! [X10] :
( ? [X11] :
( p2(X11)
& ? [X12] :
( ~ p2(X12)
& r1(X11,X12) )
& r1(X10,X11) )
=> ( p2(sK36(X10))
& ? [X12] :
( ~ p2(X12)
& r1(sK36(X10),X12) )
& r1(X10,sK36(X10)) ) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
! [X10] :
( ? [X12] :
( ~ p2(X12)
& r1(sK36(X10),X12) )
=> ( ~ p2(sK37(X10))
& r1(sK36(X10),sK37(X10)) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
( ? [X13] :
( ~ p2(X13)
& r1(sK30,X13) )
=> ( ~ p2(sK38)
& r1(sK30,sK38) ) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
! [X14] :
( ? [X15] :
( p3(X15)
& ? [X16] :
( ~ p3(X16)
& r1(X15,X16) )
& r1(X14,X15) )
=> ( p3(sK39(X14))
& ? [X16] :
( ~ p3(X16)
& r1(sK39(X14),X16) )
& r1(X14,sK39(X14)) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
! [X14] :
( ? [X16] :
( ~ p3(X16)
& r1(sK39(X14),X16) )
=> ( ~ p3(sK40(X14))
& r1(sK39(X14),sK40(X14)) ) ),
introduced(choice_axiom,[]) ).
fof(f84,plain,
( ? [X17] :
( ~ p3(X17)
& r1(sK30,X17) )
=> ( ~ p3(sK41)
& r1(sK30,sK41) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( sP10(X5)
& sP9(X5)
& r1(X0,X5) )
| sP11(X0) )
& ! [X6] :
( ? [X7] :
( p1(X7)
& ? [X8] :
( ~ p1(X8)
& r1(X7,X8) )
& r1(X6,X7) )
| p1(X6)
| ~ r1(X0,X6) )
& ? [X9] :
( ~ p1(X9)
& r1(X0,X9) )
& ! [X10] :
( ? [X11] :
( p2(X11)
& ? [X12] :
( ~ p2(X12)
& r1(X11,X12) )
& r1(X10,X11) )
| p2(X10)
| ~ r1(X0,X10) )
& ? [X13] :
( ~ p2(X13)
& r1(X0,X13) )
& ! [X14] :
( ? [X15] :
( p3(X15)
& ? [X16] :
( ~ p3(X16)
& r1(X15,X16) )
& r1(X14,X15) )
| p3(X14)
| ~ r1(X0,X14) )
& ? [X17] :
( ~ p3(X17)
& r1(X0,X17) ) ),
inference(rectify,[],[f19]) ).
fof(f19,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( sP10(X5)
& sP9(X5)
& r1(X0,X5) )
| sP11(X0) )
& ! [X44] :
( ? [X45] :
( p1(X45)
& ? [X46] :
( ~ p1(X46)
& r1(X45,X46) )
& r1(X44,X45) )
| p1(X44)
| ~ r1(X0,X44) )
& ? [X47] :
( ~ p1(X47)
& r1(X0,X47) )
& ! [X48] :
( ? [X49] :
( p2(X49)
& ? [X50] :
( ~ p2(X50)
& r1(X49,X50) )
& r1(X48,X49) )
| p2(X48)
| ~ r1(X0,X48) )
& ? [X51] :
( ~ p2(X51)
& r1(X0,X51) )
& ! [X52] :
( ? [X53] :
( p3(X53)
& ? [X54] :
( ~ p3(X54)
& r1(X53,X54) )
& r1(X52,X53) )
| p3(X52)
| ~ r1(X0,X52) )
& ? [X55] :
( ~ p3(X55)
& r1(X0,X55) ) ),
inference(definition_folding,[],[f6,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9,f8,f7]) ).
fof(f7,plain,
! [X0] :
( ! [X40] :
( ! [X41] :
( ? [X42] :
( p2(X42)
& ? [X43] :
( ~ p2(X43)
& r1(X42,X43) )
& r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X0,X40) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f8,plain,
! [X0] :
( ? [X35] :
( p2(X35)
& ? [X36] :
( ~ p2(X36)
& r1(X35,X36) )
& r1(X0,X35) )
| p2(X0)
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f11,plain,
! [X16] :
( ! [X22] :
( ! [X23] :
( ? [X24] :
( p2(X24)
& ? [X25] :
( ~ p2(X25)
& r1(X24,X25) )
& r1(X23,X24) )
| p2(X23)
| ~ r1(X22,X23) )
| ~ r1(X16,X22) )
| ~ sP4(X16) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f13,plain,
! [X6] :
( ? [X12] :
( ? [X13] :
( ! [X14] :
( ~ p2(X14)
| ! [X15] :
( p2(X15)
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
& ~ p2(X13)
& r1(X12,X13) )
& r1(X6,X12) )
| ~ sP6(X6) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f17,plain,
! [X5] :
( ! [X6] :
( ( ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p2(X6) )
| ( sP7(X6)
& sP6(X6) )
| sP8(X6)
| ~ r1(X5,X6) )
| ~ sP10(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f18,plain,
! [X0] :
( ( sP1(X0)
& ( ? [X37] :
( ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
& ~ p2(X37)
& r1(X0,X37) )
| sP0(X0) ) )
| ~ sP11(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f6,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( ! [X6] :
( ( ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p2(X6) )
| ( ! [X9] :
( ? [X10] :
( p2(X10)
& ? [X11] :
( ~ p2(X11)
& r1(X10,X11) )
& r1(X9,X10) )
| p2(X9)
| ~ r1(X6,X9) )
& ? [X12] :
( ? [X13] :
( ! [X14] :
( ~ p2(X14)
| ! [X15] :
( p2(X15)
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
& ~ p2(X13)
& r1(X12,X13) )
& r1(X6,X12) ) )
| ! [X16] :
( ( ( ? [X17] :
( p2(X17)
& ? [X18] :
( ~ p2(X18)
& r1(X17,X18) )
& r1(X16,X17) )
| p2(X16) )
& ( ? [X19] :
( ! [X20] :
( ~ p2(X20)
| ! [X21] :
( p2(X21)
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
& ~ p2(X19)
& r1(X16,X19) )
| ! [X22] :
( ! [X23] :
( ? [X24] :
( p2(X24)
& ? [X25] :
( ~ p2(X25)
& r1(X24,X25) )
& r1(X23,X24) )
| p2(X23)
| ~ r1(X22,X23) )
| ~ r1(X16,X22) ) ) )
| ~ r1(X6,X16) )
| ~ r1(X5,X6) )
& ( ( ! [X26] :
( ~ p2(X26)
| ! [X27] :
( p2(X27)
| ~ r1(X26,X27) )
| ~ r1(X5,X26) )
& ~ p2(X5) )
| ( ! [X28] :
( ? [X29] :
( p2(X29)
& ? [X30] :
( ~ p2(X30)
& r1(X29,X30) )
& r1(X28,X29) )
| p2(X28)
| ~ r1(X5,X28) )
& ? [X31] :
( ? [X32] :
( ! [X33] :
( ~ p2(X33)
| ! [X34] :
( p2(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
& ~ p2(X32)
& r1(X31,X32) )
& r1(X5,X31) ) ) )
& r1(X0,X5) )
| ( ( ? [X35] :
( p2(X35)
& ? [X36] :
( ~ p2(X36)
& r1(X35,X36) )
& r1(X0,X35) )
| p2(X0) )
& ( ? [X37] :
( ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
& ~ p2(X37)
& r1(X0,X37) )
| ! [X40] :
( ! [X41] :
( ? [X42] :
( p2(X42)
& ? [X43] :
( ~ p2(X43)
& r1(X42,X43) )
& r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X0,X40) ) ) ) )
& ! [X44] :
( ? [X45] :
( p1(X45)
& ? [X46] :
( ~ p1(X46)
& r1(X45,X46) )
& r1(X44,X45) )
| p1(X44)
| ~ r1(X0,X44) )
& ? [X47] :
( ~ p1(X47)
& r1(X0,X47) )
& ! [X48] :
( ? [X49] :
( p2(X49)
& ? [X50] :
( ~ p2(X50)
& r1(X49,X50) )
& r1(X48,X49) )
| p2(X48)
| ~ r1(X0,X48) )
& ? [X51] :
( ~ p2(X51)
& r1(X0,X51) )
& ! [X52] :
( ? [X53] :
( p3(X53)
& ? [X54] :
( ~ p3(X54)
& r1(X53,X54) )
& r1(X52,X53) )
| p3(X52)
| ~ r1(X0,X52) )
& ? [X55] :
( ~ p3(X55)
& r1(X0,X55) ) ),
inference(flattening,[],[f5]) ).
fof(f5,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( ! [X6] :
( ( ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p2(X6) )
| ( ! [X9] :
( ? [X10] :
( p2(X10)
& ? [X11] :
( ~ p2(X11)
& r1(X10,X11) )
& r1(X9,X10) )
| p2(X9)
| ~ r1(X6,X9) )
& ? [X12] :
( ? [X13] :
( ! [X14] :
( ~ p2(X14)
| ! [X15] :
( p2(X15)
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
& ~ p2(X13)
& r1(X12,X13) )
& r1(X6,X12) ) )
| ! [X16] :
( ( ( ? [X17] :
( p2(X17)
& ? [X18] :
( ~ p2(X18)
& r1(X17,X18) )
& r1(X16,X17) )
| p2(X16) )
& ( ? [X19] :
( ! [X20] :
( ~ p2(X20)
| ! [X21] :
( p2(X21)
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
& ~ p2(X19)
& r1(X16,X19) )
| ! [X22] :
( ! [X23] :
( ? [X24] :
( p2(X24)
& ? [X25] :
( ~ p2(X25)
& r1(X24,X25) )
& r1(X23,X24) )
| p2(X23)
| ~ r1(X22,X23) )
| ~ r1(X16,X22) ) ) )
| ~ r1(X6,X16) )
| ~ r1(X5,X6) )
& ( ( ! [X26] :
( ~ p2(X26)
| ! [X27] :
( p2(X27)
| ~ r1(X26,X27) )
| ~ r1(X5,X26) )
& ~ p2(X5) )
| ( ! [X28] :
( ? [X29] :
( p2(X29)
& ? [X30] :
( ~ p2(X30)
& r1(X29,X30) )
& r1(X28,X29) )
| p2(X28)
| ~ r1(X5,X28) )
& ? [X31] :
( ? [X32] :
( ! [X33] :
( ~ p2(X33)
| ! [X34] :
( p2(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
& ~ p2(X32)
& r1(X31,X32) )
& r1(X5,X31) ) ) )
& r1(X0,X5) )
| ( ( ? [X35] :
( p2(X35)
& ? [X36] :
( ~ p2(X36)
& r1(X35,X36) )
& r1(X0,X35) )
| p2(X0) )
& ( ? [X37] :
( ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
& ~ p2(X37)
& r1(X0,X37) )
| ! [X40] :
( ! [X41] :
( ? [X42] :
( p2(X42)
& ? [X43] :
( ~ p2(X43)
& r1(X42,X43) )
& r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X0,X40) ) ) ) )
& ! [X44] :
( ? [X45] :
( p1(X45)
& ? [X46] :
( ~ p1(X46)
& r1(X45,X46) )
& r1(X44,X45) )
| p1(X44)
| ~ r1(X0,X44) )
& ? [X47] :
( ~ p1(X47)
& r1(X0,X47) )
& ! [X48] :
( ? [X49] :
( p2(X49)
& ? [X50] :
( ~ p2(X50)
& r1(X49,X50) )
& r1(X48,X49) )
| p2(X48)
| ~ r1(X0,X48) )
& ? [X51] :
( ~ p2(X51)
& r1(X0,X51) )
& ! [X52] :
( ? [X53] :
( p3(X53)
& ? [X54] :
( ~ p3(X54)
& r1(X53,X54) )
& r1(X52,X53) )
| p3(X52)
| ~ r1(X0,X52) )
& ? [X55] :
( ~ p3(X55)
& r1(X0,X55) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,plain,
? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X2] :
( ~ ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| p2(X2)
| ~ r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ~ ! [X5] :
( ~ ! [X6] :
( ~ ( ( ~ ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| p2(X6) )
& ( ~ ! [X9] :
( ~ ! [X10] :
( ~ p2(X10)
| ! [X11] :
( p2(X11)
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
| p2(X9)
| ~ r1(X6,X9) )
| ! [X12] :
( ! [X13] :
( ~ ! [X14] :
( ~ p2(X14)
| ! [X15] :
( p2(X15)
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| p2(X13)
| ~ r1(X12,X13) )
| ~ r1(X6,X12) ) ) )
| ! [X16] :
( ( ( ~ ! [X17] :
( ~ p2(X17)
| ! [X18] :
( p2(X18)
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| p2(X16) )
& ( ~ ! [X19] :
( ~ ! [X20] :
( ~ p2(X20)
| ! [X21] :
( p2(X21)
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
| p2(X19)
| ~ r1(X16,X19) )
| ! [X22] :
( ! [X23] :
( ~ ! [X24] :
( ~ p2(X24)
| ! [X25] :
( p2(X25)
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| p2(X23)
| ~ r1(X22,X23) )
| ~ r1(X16,X22) ) ) )
| ~ r1(X6,X16) )
| ~ r1(X5,X6) )
| ( ( ~ ! [X26] :
( ~ p2(X26)
| ! [X27] :
( p2(X27)
| ~ r1(X26,X27) )
| ~ r1(X5,X26) )
| p2(X5) )
& ( ~ ! [X28] :
( ~ ! [X29] :
( ~ p2(X29)
| ! [X30] :
( p2(X30)
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| p2(X28)
| ~ r1(X5,X28) )
| ! [X31] :
( ! [X32] :
( ~ ! [X33] :
( ~ p2(X33)
| ! [X34] :
( p2(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
| p2(X32)
| ~ r1(X31,X32) )
| ~ r1(X5,X31) ) ) )
| ~ r1(X0,X5) )
| ( ( ~ ! [X35] :
( ~ p2(X35)
| ! [X36] :
( p2(X36)
| ~ r1(X35,X36) )
| ~ r1(X0,X35) )
| p2(X0) )
& ( ~ ! [X37] :
( ~ ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| p2(X37)
| ~ r1(X0,X37) )
| ! [X40] :
( ! [X41] :
( ~ ! [X42] :
( ~ p2(X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X0,X40) ) ) ) ) )
| ~ ! [X44] :
( ~ ! [X45] :
( ~ p1(X45)
| ! [X46] :
( p1(X46)
| ~ r1(X45,X46) )
| ~ r1(X44,X45) )
| p1(X44)
| ~ r1(X0,X44) )
| ! [X47] :
( p1(X47)
| ~ r1(X0,X47) )
| ~ ! [X48] :
( ~ ! [X49] :
( ~ p2(X49)
| ! [X50] :
( p2(X50)
| ~ r1(X49,X50) )
| ~ r1(X48,X49) )
| p2(X48)
| ~ r1(X0,X48) )
| ! [X51] :
( p2(X51)
| ~ r1(X0,X51) )
| ~ ! [X52] :
( ~ ! [X53] :
( ~ p3(X53)
| ! [X54] :
( p3(X54)
| ~ r1(X53,X54) )
| ~ r1(X52,X53) )
| p3(X52)
| ~ r1(X0,X52) )
| ! [X55] :
( p3(X55)
| ~ r1(X0,X55) ) ),
inference(flattening,[],[f3]) ).
fof(f3,plain,
~ ~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X2] :
( ~ ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| p2(X2)
| ~ r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ~ ! [X5] :
( ~ ! [X6] :
( ~ ( ( ~ ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| p2(X6) )
& ( ~ ! [X9] :
( ~ ! [X10] :
( ~ p2(X10)
| ! [X11] :
( p2(X11)
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
| p2(X9)
| ~ r1(X6,X9) )
| ! [X12] :
( ! [X13] :
( ~ ! [X14] :
( ~ p2(X14)
| ! [X15] :
( p2(X15)
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| p2(X13)
| ~ r1(X12,X13) )
| ~ r1(X6,X12) ) ) )
| ! [X16] :
( ( ( ~ ! [X17] :
( ~ p2(X17)
| ! [X18] :
( p2(X18)
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| p2(X16) )
& ( ~ ! [X19] :
( ~ ! [X20] :
( ~ p2(X20)
| ! [X21] :
( p2(X21)
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
| p2(X19)
| ~ r1(X16,X19) )
| ! [X22] :
( ! [X23] :
( ~ ! [X24] :
( ~ p2(X24)
| ! [X25] :
( p2(X25)
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| p2(X23)
| ~ r1(X22,X23) )
| ~ r1(X16,X22) ) ) )
| ~ r1(X6,X16) )
| ~ r1(X5,X6) )
| ( ( ~ ! [X26] :
( ~ p2(X26)
| ! [X27] :
( p2(X27)
| ~ r1(X26,X27) )
| ~ r1(X5,X26) )
| p2(X5) )
& ( ~ ! [X28] :
( ~ ! [X29] :
( ~ p2(X29)
| ! [X30] :
( p2(X30)
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| p2(X28)
| ~ r1(X5,X28) )
| ! [X31] :
( ! [X32] :
( ~ ! [X33] :
( ~ p2(X33)
| ! [X34] :
( p2(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
| p2(X32)
| ~ r1(X31,X32) )
| ~ r1(X5,X31) ) ) )
| ~ r1(X0,X5) )
| ( ( ~ ! [X35] :
( ~ p2(X35)
| ! [X36] :
( p2(X36)
| ~ r1(X35,X36) )
| ~ r1(X0,X35) )
| p2(X0) )
& ( ~ ! [X37] :
( ~ ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| p2(X37)
| ~ r1(X0,X37) )
| ! [X40] :
( ! [X41] :
( ~ ! [X42] :
( ~ p2(X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X0,X40) ) ) ) ) )
| ~ ! [X44] :
( ~ ! [X45] :
( ~ p1(X45)
| ! [X46] :
( p1(X46)
| ~ r1(X45,X46) )
| ~ r1(X44,X45) )
| p1(X44)
| ~ r1(X0,X44) )
| ! [X47] :
( p1(X47)
| ~ r1(X0,X47) )
| ~ ! [X48] :
( ~ ! [X49] :
( ~ p2(X49)
| ! [X50] :
( p2(X50)
| ~ r1(X49,X50) )
| ~ r1(X48,X49) )
| p2(X48)
| ~ r1(X0,X48) )
| ! [X51] :
( p2(X51)
| ~ r1(X0,X51) )
| ~ ! [X52] :
( ~ ! [X53] :
( ~ p3(X53)
| ! [X54] :
( p3(X54)
| ~ r1(X53,X54) )
| ~ r1(X52,X53) )
| p3(X52)
| ~ r1(X0,X52) )
| ! [X55] :
( p3(X55)
| ~ r1(X0,X55) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) )
| ! [X1] :
( ( ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ( ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ( ( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) ) ) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p3(X0)
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p3(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) )
| ! [X1] :
( ( ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ( ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ( ( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) ) ) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p3(X0)
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p3(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f2004,plain,
( r1(sK31(sK32),sK22(sK31(sK32)))
| ~ spl42_281 ),
inference(avatar_component_clause,[],[f2002]) ).
fof(f2005,plain,
( spl42_12
| spl42_281
| ~ spl42_4
| spl42_86
| ~ spl42_267 ),
inference(avatar_split_clause,[],[f2000,f1874,f650,f173,f2002,f218]) ).
fof(f2000,plain,
( r1(sK31(sK32),sK22(sK31(sK32)))
| p2(sK32)
| ~ spl42_4
| spl42_86
| ~ spl42_267 ),
inference(subsumption_resolution,[],[f1999,f175]) ).
fof(f1999,plain,
( r1(sK31(sK32),sK22(sK31(sK32)))
| p2(sK32)
| ~ r1(sK30,sK32)
| spl42_86
| ~ spl42_267 ),
inference(subsumption_resolution,[],[f1993,f651]) ).
fof(f1993,plain,
( p2(sK31(sK32))
| r1(sK31(sK32),sK22(sK31(sK32)))
| p2(sK32)
| ~ r1(sK30,sK32)
| ~ spl42_267 ),
inference(resolution,[],[f1885,f155]) ).
fof(f155,plain,
! [X1] :
( r1(X1,sK31(X1))
| p2(X1)
| ~ r1(sK30,X1) ),
inference(cnf_transformation,[],[f85]) ).
fof(f1987,plain,
( spl42_12
| spl42_280
| ~ spl42_4
| spl42_86
| ~ spl42_267 ),
inference(avatar_split_clause,[],[f1982,f1874,f650,f173,f1984,f218]) ).
fof(f1982,plain,
( p2(sK22(sK31(sK32)))
| p2(sK32)
| ~ spl42_4
| spl42_86
| ~ spl42_267 ),
inference(subsumption_resolution,[],[f1981,f175]) ).
fof(f1981,plain,
( p2(sK22(sK31(sK32)))
| p2(sK32)
| ~ r1(sK30,sK32)
| spl42_86
| ~ spl42_267 ),
inference(subsumption_resolution,[],[f1975,f651]) ).
fof(f1975,plain,
( p2(sK31(sK32))
| p2(sK22(sK31(sK32)))
| p2(sK32)
| ~ r1(sK30,sK32)
| ~ spl42_267 ),
inference(resolution,[],[f1886,f155]) ).
fof(f1948,plain,
( spl42_271
| spl42_272
| spl42_276
| ~ spl42_2
| ~ spl42_71 ),
inference(avatar_split_clause,[],[f1928,f548,f163,f1946,f1923,f1918]) ).
fof(f163,plain,
( spl42_2
<=> sP10(sK32) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_2])]) ).
fof(f1928,plain,
( ! [X0,X1] :
( ~ r1(X0,X1)
| ~ r1(sK24(sK32),X0)
| sP7(sK24(sK32))
| sP8(sK24(sK32))
| p2(X1)
| ~ p2(X0) )
| ~ spl42_2
| ~ spl42_71 ),
inference(resolution,[],[f1867,f1880]) ).
fof(f1867,plain,
( ! [X2,X0,X1] :
( ~ r1(sK32,X2)
| ~ r1(X1,X0)
| ~ r1(X2,X1)
| sP7(X2)
| sP8(X2)
| p2(X0)
| ~ p2(X1) )
| ~ spl42_2 ),
inference(resolution,[],[f165,f93]) ).
fof(f93,plain,
! [X2,X3,X0,X1] :
( ~ sP10(X0)
| p2(X3)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| sP7(X1)
| sP8(X1)
| ~ r1(X0,X1)
| ~ p2(X2) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ~ p2(X2)
| ! [X3] :
( p2(X3)
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
& ~ p2(X1) )
| ( sP7(X1)
& sP6(X1) )
| sP8(X1)
| ~ r1(X0,X1) )
| ~ sP10(X0) ),
inference(rectify,[],[f24]) ).
fof(f24,plain,
! [X5] :
( ! [X6] :
( ( ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p2(X6) )
| ( sP7(X6)
& sP6(X6) )
| sP8(X6)
| ~ r1(X5,X6) )
| ~ sP10(X5) ),
inference(nnf_transformation,[],[f17]) ).
fof(f165,plain,
( sP10(sK32)
| ~ spl42_2 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f1926,plain,
( ~ spl42_269
| spl42_272
| spl42_271
| ~ spl42_2
| ~ spl42_71 ),
inference(avatar_split_clause,[],[f1908,f548,f163,f1918,f1923,f1910]) ).
fof(f1908,plain,
( sP8(sK24(sK32))
| sP7(sK24(sK32))
| ~ p2(sK24(sK32))
| ~ spl42_2
| ~ spl42_71 ),
inference(resolution,[],[f1880,f1869]) ).
fof(f1869,plain,
( ! [X0] :
( ~ r1(sK32,X0)
| sP8(X0)
| sP7(X0)
| ~ p2(X0) )
| ~ spl42_2 ),
inference(resolution,[],[f165,f91]) ).
fof(f91,plain,
! [X0,X1] :
( ~ sP10(X0)
| sP7(X1)
| sP8(X1)
| ~ r1(X0,X1)
| ~ p2(X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f1878,plain,
( spl42_71
| spl42_72
| ~ spl42_3 ),
inference(avatar_split_clause,[],[f1872,f168,f552,f548]) ).
fof(f552,plain,
( spl42_72
<=> ! [X0,X1] :
( p2(X0)
| ~ p2(X1)
| ~ r1(sK32,X1)
| ~ r1(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_72])]) ).
fof(f1872,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(X1,X0)
| ~ r1(sK32,X1)
| sP2(sK32)
| ~ p2(X1) )
| ~ spl42_3 ),
inference(resolution,[],[f170,f96]) ).
fof(f96,plain,
! [X2,X0,X1] :
( ~ sP9(X0)
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| sP2(X0)
| ~ p2(X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f1877,plain,
( spl42_267
| spl42_72
| ~ spl42_3 ),
inference(avatar_split_clause,[],[f1871,f168,f552,f1874]) ).
fof(f1871,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(X1,X0)
| ~ r1(sK32,X1)
| sP3(sK32)
| ~ p2(X1) )
| ~ spl42_3 ),
inference(resolution,[],[f170,f97]) ).
fof(f97,plain,
! [X2,X0,X1] :
( ~ sP9(X0)
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| sP3(X0)
| ~ p2(X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f1866,plain,
( ~ spl42_35
| spl42_108
| ~ spl42_235
| ~ spl42_238 ),
inference(avatar_contradiction_clause,[],[f1865]) ).
fof(f1865,plain,
( $false
| ~ spl42_35
| spl42_108
| ~ spl42_235
| ~ spl42_238 ),
inference(subsumption_resolution,[],[f1860,f140]) ).
fof(f140,plain,
r1(sK30,sK38),
inference(cnf_transformation,[],[f85]) ).
fof(f1860,plain,
( ~ r1(sK30,sK38)
| ~ spl42_35
| spl42_108
| ~ spl42_235
| ~ spl42_238 ),
inference(resolution,[],[f1858,f1684]) ).
fof(f1684,plain,
( r1(sK38,sK31(sK38))
| ~ spl42_238 ),
inference(avatar_component_clause,[],[f1683]) ).
fof(f1683,plain,
( spl42_238
<=> r1(sK38,sK31(sK38)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_238])]) ).
fof(f1858,plain,
( ! [X0] :
( ~ r1(X0,sK31(sK38))
| ~ r1(sK30,X0) )
| ~ spl42_35
| spl42_108
| ~ spl42_235 ),
inference(resolution,[],[f1813,f346]) ).
fof(f346,plain,
( sP0(sK30)
| ~ spl42_35 ),
inference(avatar_component_clause,[],[f344]) ).
fof(f344,plain,
( spl42_35
<=> sP0(sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_35])]) ).
fof(f1813,plain,
( ! [X0,X1] :
( ~ sP0(X1)
| ~ r1(X1,X0)
| ~ r1(X0,sK31(sK38)) )
| spl42_108
| ~ spl42_235 ),
inference(subsumption_resolution,[],[f1810,f787]) ).
fof(f787,plain,
( ~ p2(sK31(sK38))
| spl42_108 ),
inference(avatar_component_clause,[],[f786]) ).
fof(f786,plain,
( spl42_108
<=> p2(sK31(sK38)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_108])]) ).
fof(f1810,plain,
( ! [X0,X1] :
( p2(sK31(sK38))
| ~ r1(X0,sK31(sK38))
| ~ r1(X1,X0)
| ~ sP0(X1) )
| ~ spl42_235 ),
inference(resolution,[],[f1667,f132]) ).
fof(f132,plain,
! [X2,X0,X1] :
( ~ p2(sK29(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( p2(sK28(X2))
& ~ p2(sK29(X2))
& r1(sK28(X2),sK29(X2))
& r1(X2,sK28(X2)) )
| p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28,sK29])],[f68,f70,f69]) ).
fof(f69,plain,
! [X2] :
( ? [X3] :
( p2(X3)
& ? [X4] :
( ~ p2(X4)
& r1(X3,X4) )
& r1(X2,X3) )
=> ( p2(sK28(X2))
& ? [X4] :
( ~ p2(X4)
& r1(sK28(X2),X4) )
& r1(X2,sK28(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
! [X2] :
( ? [X4] :
( ~ p2(X4)
& r1(sK28(X2),X4) )
=> ( ~ p2(sK29(X2))
& r1(sK28(X2),sK29(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ? [X3] :
( p2(X3)
& ? [X4] :
( ~ p2(X4)
& r1(X3,X4) )
& r1(X2,X3) )
| p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP0(X0) ),
inference(rectify,[],[f67]) ).
fof(f67,plain,
! [X0] :
( ! [X40] :
( ! [X41] :
( ? [X42] :
( p2(X42)
& ? [X43] :
( ~ p2(X43)
& r1(X42,X43) )
& r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X0,X40) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f7]) ).
fof(f1667,plain,
( p2(sK29(sK31(sK38)))
| ~ spl42_235 ),
inference(avatar_component_clause,[],[f1665]) ).
fof(f1665,plain,
( spl42_235
<=> p2(sK29(sK31(sK38))) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_235])]) ).
fof(f1809,plain,
spl42_238,
inference(avatar_contradiction_clause,[],[f1808]) ).
fof(f1808,plain,
( $false
| spl42_238 ),
inference(subsumption_resolution,[],[f1807,f140]) ).
fof(f1807,plain,
( ~ r1(sK30,sK38)
| spl42_238 ),
inference(subsumption_resolution,[],[f1806,f141]) ).
fof(f141,plain,
~ p2(sK38),
inference(cnf_transformation,[],[f85]) ).
fof(f1806,plain,
( p2(sK38)
| ~ r1(sK30,sK38)
| spl42_238 ),
inference(resolution,[],[f1685,f155]) ).
fof(f1685,plain,
( ~ r1(sK38,sK31(sK38))
| spl42_238 ),
inference(avatar_component_clause,[],[f1683]) ).
fof(f1686,plain,
( ~ spl42_238
| spl42_235
| ~ spl42_35
| ~ spl42_107
| spl42_108
| ~ spl42_139 ),
inference(avatar_split_clause,[],[f1681,f996,f786,f782,f344,f1665,f1683]) ).
fof(f782,plain,
( spl42_107
<=> p2(sK28(sK31(sK38))) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_107])]) ).
fof(f996,plain,
( spl42_139
<=> r1(sK31(sK38),sK28(sK31(sK38))) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_139])]) ).
fof(f1681,plain,
( p2(sK29(sK31(sK38)))
| ~ r1(sK38,sK31(sK38))
| ~ spl42_35
| ~ spl42_107
| spl42_108
| ~ spl42_139 ),
inference(subsumption_resolution,[],[f1652,f787]) ).
fof(f1652,plain,
( p2(sK29(sK31(sK38)))
| p2(sK31(sK38))
| ~ r1(sK38,sK31(sK38))
| ~ spl42_35
| ~ spl42_107
| ~ spl42_139 ),
inference(resolution,[],[f1420,f1244]) ).
fof(f1244,plain,
( ! [X0] :
( r1(sK28(X0),sK29(X0))
| p2(X0)
| ~ r1(sK38,X0) )
| ~ spl42_35 ),
inference(resolution,[],[f1201,f140]) ).
fof(f1201,plain,
( ! [X0,X1] :
( ~ r1(sK30,X1)
| ~ r1(X1,X0)
| p2(X0)
| r1(sK28(X0),sK29(X0)) )
| ~ spl42_35 ),
inference(resolution,[],[f346,f131]) ).
fof(f131,plain,
! [X2,X0,X1] :
( ~ sP0(X0)
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| r1(sK28(X2),sK29(X2)) ),
inference(cnf_transformation,[],[f71]) ).
fof(f1420,plain,
( ! [X0] :
( ~ r1(sK28(sK31(sK38)),X0)
| p2(X0) )
| ~ spl42_107
| ~ spl42_139 ),
inference(subsumption_resolution,[],[f1419,f140]) ).
fof(f1419,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK28(sK31(sK38)),X0)
| ~ r1(sK30,sK38) )
| ~ spl42_107
| ~ spl42_139 ),
inference(subsumption_resolution,[],[f1418,f141]) ).
fof(f1418,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK28(sK31(sK38)),X0)
| p2(sK38)
| ~ r1(sK30,sK38) )
| ~ spl42_107
| ~ spl42_139 ),
inference(subsumption_resolution,[],[f1417,f784]) ).
fof(f784,plain,
( p2(sK28(sK31(sK38)))
| ~ spl42_107 ),
inference(avatar_component_clause,[],[f782]) ).
fof(f1417,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK28(sK31(sK38)),X0)
| ~ p2(sK28(sK31(sK38)))
| p2(sK38)
| ~ r1(sK30,sK38) )
| ~ spl42_139 ),
inference(resolution,[],[f998,f157]) ).
fof(f998,plain,
( r1(sK31(sK38),sK28(sK31(sK38)))
| ~ spl42_139 ),
inference(avatar_component_clause,[],[f996]) ).
fof(f1557,plain,
( spl42_12
| ~ spl42_4
| ~ spl42_86 ),
inference(avatar_split_clause,[],[f1556,f650,f173,f218]) ).
fof(f1556,plain,
( p2(sK32)
| ~ spl42_4
| ~ spl42_86 ),
inference(subsumption_resolution,[],[f1553,f175]) ).
fof(f1553,plain,
( p2(sK32)
| ~ r1(sK30,sK32)
| ~ spl42_86 ),
inference(resolution,[],[f652,f156]) ).
fof(f156,plain,
! [X1] :
( ~ p2(sK31(X1))
| p2(X1)
| ~ r1(sK30,X1) ),
inference(cnf_transformation,[],[f85]) ).
fof(f652,plain,
( p2(sK31(sK32))
| ~ spl42_86 ),
inference(avatar_component_clause,[],[f650]) ).
fof(f1524,plain,
( spl42_12
| ~ spl42_4
| spl42_213 ),
inference(avatar_split_clause,[],[f1523,f1518,f173,f218]) ).
fof(f1523,plain,
( p2(sK32)
| ~ spl42_4
| spl42_213 ),
inference(subsumption_resolution,[],[f1522,f175]) ).
fof(f1522,plain,
( p2(sK32)
| ~ r1(sK30,sK32)
| spl42_213 ),
inference(resolution,[],[f1520,f155]) ).
fof(f1520,plain,
( ~ r1(sK32,sK31(sK32))
| spl42_213 ),
inference(avatar_component_clause,[],[f1518]) ).
fof(f1200,plain,
( spl42_35
| ~ spl42_1
| ~ spl42_64 ),
inference(avatar_split_clause,[],[f1199,f511,f159,f344]) ).
fof(f159,plain,
( spl42_1
<=> sP11(sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_1])]) ).
fof(f511,plain,
( spl42_64
<=> p2(sK12(sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_64])]) ).
fof(f1199,plain,
( sP0(sK30)
| ~ spl42_1
| ~ spl42_64 ),
inference(subsumption_resolution,[],[f1179,f161]) ).
fof(f161,plain,
( sP11(sK30)
| ~ spl42_1 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f1179,plain,
( sP0(sK30)
| ~ sP11(sK30)
| ~ spl42_64 ),
inference(resolution,[],[f513,f87]) ).
fof(f87,plain,
! [X0] :
( ~ p2(sK12(X0))
| sP0(X0)
| ~ sP11(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0] :
( ( sP1(X0)
& ( ( ! [X2] :
( ~ p2(X2)
| ! [X3] :
( p2(X3)
| ~ r1(X2,X3) )
| ~ r1(sK12(X0),X2) )
& ~ p2(sK12(X0))
& r1(X0,sK12(X0)) )
| sP0(X0) ) )
| ~ sP11(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f21,f22]) ).
fof(f22,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ p2(X2)
| ! [X3] :
( p2(X3)
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
& ~ p2(X1)
& r1(X0,X1) )
=> ( ! [X2] :
( ~ p2(X2)
| ! [X3] :
( p2(X3)
| ~ r1(X2,X3) )
| ~ r1(sK12(X0),X2) )
& ~ p2(sK12(X0))
& r1(X0,sK12(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
! [X0] :
( ( sP1(X0)
& ( ? [X1] :
( ! [X2] :
( ~ p2(X2)
| ! [X3] :
( p2(X3)
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
& ~ p2(X1)
& r1(X0,X1) )
| sP0(X0) ) )
| ~ sP11(X0) ),
inference(rectify,[],[f20]) ).
fof(f20,plain,
! [X0] :
( ( sP1(X0)
& ( ? [X37] :
( ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
& ~ p2(X37)
& r1(X0,X37) )
| sP0(X0) ) )
| ~ sP11(X0) ),
inference(nnf_transformation,[],[f18]) ).
fof(f513,plain,
( p2(sK12(sK30))
| ~ spl42_64 ),
inference(avatar_component_clause,[],[f511]) ).
fof(f1164,plain,
( spl42_64
| ~ spl42_34
| ~ spl42_161 ),
inference(avatar_split_clause,[],[f1163,f1134,f340,f511]) ).
fof(f340,plain,
( spl42_34
<=> r1(sK30,sK12(sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_34])]) ).
fof(f1134,plain,
( spl42_161
<=> p2(sK37(sK12(sK30))) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_161])]) ).
fof(f1163,plain,
( p2(sK12(sK30))
| ~ spl42_34
| ~ spl42_161 ),
inference(subsumption_resolution,[],[f1160,f342]) ).
fof(f342,plain,
( r1(sK30,sK12(sK30))
| ~ spl42_34 ),
inference(avatar_component_clause,[],[f340]) ).
fof(f1160,plain,
( p2(sK12(sK30))
| ~ r1(sK30,sK12(sK30))
| ~ spl42_161 ),
inference(resolution,[],[f1136,f144]) ).
fof(f144,plain,
! [X10] :
( ~ p2(sK37(X10))
| p2(X10)
| ~ r1(sK30,X10) ),
inference(cnf_transformation,[],[f85]) ).
fof(f1136,plain,
( p2(sK37(sK12(sK30)))
| ~ spl42_161 ),
inference(avatar_component_clause,[],[f1134]) ).
fof(f1137,plain,
( spl42_64
| spl42_161
| ~ spl42_34
| ~ spl42_155 ),
inference(avatar_split_clause,[],[f1132,f1099,f340,f1134,f511]) ).
fof(f1099,plain,
( spl42_155
<=> ! [X0] :
( p2(X0)
| ~ r1(sK36(sK12(sK30)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_155])]) ).
fof(f1132,plain,
( p2(sK37(sK12(sK30)))
| p2(sK12(sK30))
| ~ spl42_34
| ~ spl42_155 ),
inference(subsumption_resolution,[],[f1127,f342]) ).
fof(f1127,plain,
( p2(sK37(sK12(sK30)))
| p2(sK12(sK30))
| ~ r1(sK30,sK12(sK30))
| ~ spl42_155 ),
inference(resolution,[],[f1100,f143]) ).
fof(f143,plain,
! [X10] :
( r1(sK36(X10),sK37(X10))
| p2(X10)
| ~ r1(sK30,X10) ),
inference(cnf_transformation,[],[f85]) ).
fof(f1100,plain,
( ! [X0] :
( ~ r1(sK36(sK12(sK30)),X0)
| p2(X0) )
| ~ spl42_155 ),
inference(avatar_component_clause,[],[f1099]) ).
fof(f1101,plain,
( spl42_64
| spl42_155
| ~ spl42_63
| ~ spl42_34
| ~ spl42_149 ),
inference(avatar_split_clause,[],[f1097,f1059,f340,f507,f1099,f511]) ).
fof(f507,plain,
( spl42_63
<=> p2(sK36(sK12(sK30))) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_63])]) ).
fof(f1059,plain,
( spl42_149
<=> ! [X0,X1] :
( p2(X0)
| ~ p2(X1)
| ~ r1(sK12(sK30),X1)
| ~ r1(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_149])]) ).
fof(f1097,plain,
( ! [X0] :
( ~ p2(sK36(sK12(sK30)))
| p2(X0)
| ~ r1(sK36(sK12(sK30)),X0)
| p2(sK12(sK30)) )
| ~ spl42_34
| ~ spl42_149 ),
inference(subsumption_resolution,[],[f1086,f342]) ).
fof(f1086,plain,
( ! [X0] :
( ~ p2(sK36(sK12(sK30)))
| p2(X0)
| ~ r1(sK36(sK12(sK30)),X0)
| p2(sK12(sK30))
| ~ r1(sK30,sK12(sK30)) )
| ~ spl42_149 ),
inference(resolution,[],[f1060,f142]) ).
fof(f142,plain,
! [X10] :
( r1(X10,sK36(X10))
| p2(X10)
| ~ r1(sK30,X10) ),
inference(cnf_transformation,[],[f85]) ).
fof(f1060,plain,
( ! [X0,X1] :
( ~ r1(sK12(sK30),X1)
| ~ p2(X1)
| p2(X0)
| ~ r1(X1,X0) )
| ~ spl42_149 ),
inference(avatar_component_clause,[],[f1059]) ).
fof(f1066,plain,
( spl42_63
| spl42_64
| ~ spl42_34 ),
inference(avatar_split_clause,[],[f1063,f340,f511,f507]) ).
fof(f1063,plain,
( p2(sK12(sK30))
| p2(sK36(sK12(sK30)))
| ~ spl42_34 ),
inference(resolution,[],[f342,f145]) ).
fof(f145,plain,
! [X10] :
( ~ r1(sK30,X10)
| p2(X10)
| p2(sK36(X10)) ),
inference(cnf_transformation,[],[f85]) ).
fof(f1061,plain,
( spl42_35
| spl42_149
| ~ spl42_1 ),
inference(avatar_split_clause,[],[f629,f159,f1059,f344]) ).
fof(f629,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(X1,X0)
| ~ r1(sK12(sK30),X1)
| sP0(sK30)
| ~ p2(X1) )
| ~ spl42_1 ),
inference(resolution,[],[f88,f161]) ).
fof(f88,plain,
! [X2,X3,X0] :
( ~ sP11(X0)
| p2(X3)
| ~ r1(X2,X3)
| ~ r1(sK12(X0),X2)
| sP0(X0)
| ~ p2(X2) ),
inference(cnf_transformation,[],[f23]) ).
fof(f1043,plain,
~ spl42_108,
inference(avatar_contradiction_clause,[],[f1042]) ).
fof(f1042,plain,
( $false
| ~ spl42_108 ),
inference(subsumption_resolution,[],[f1041,f140]) ).
fof(f1041,plain,
( ~ r1(sK30,sK38)
| ~ spl42_108 ),
inference(subsumption_resolution,[],[f1038,f141]) ).
fof(f1038,plain,
( p2(sK38)
| ~ r1(sK30,sK38)
| ~ spl42_108 ),
inference(resolution,[],[f788,f156]) ).
fof(f788,plain,
( p2(sK31(sK38))
| ~ spl42_108 ),
inference(avatar_component_clause,[],[f786]) ).
fof(f999,plain,
( spl42_139
| spl42_108
| ~ spl42_35 ),
inference(avatar_split_clause,[],[f994,f344,f786,f996]) ).
fof(f994,plain,
( p2(sK31(sK38))
| r1(sK31(sK38),sK28(sK31(sK38)))
| ~ spl42_35 ),
inference(subsumption_resolution,[],[f993,f140]) ).
fof(f993,plain,
( p2(sK31(sK38))
| r1(sK31(sK38),sK28(sK31(sK38)))
| ~ r1(sK30,sK38)
| ~ spl42_35 ),
inference(subsumption_resolution,[],[f989,f141]) ).
fof(f989,plain,
( p2(sK31(sK38))
| r1(sK31(sK38),sK28(sK31(sK38)))
| p2(sK38)
| ~ r1(sK30,sK38)
| ~ spl42_35 ),
inference(resolution,[],[f813,f155]) ).
fof(f813,plain,
( ! [X0] :
( ~ r1(sK38,X0)
| p2(X0)
| r1(X0,sK28(X0)) )
| ~ spl42_35 ),
inference(resolution,[],[f576,f140]) ).
fof(f576,plain,
( ! [X0,X1] :
( ~ r1(sK30,X1)
| ~ r1(X1,X0)
| p2(X0)
| r1(X0,sK28(X0)) )
| ~ spl42_35 ),
inference(resolution,[],[f130,f346]) ).
fof(f130,plain,
! [X2,X0,X1] :
( ~ sP0(X0)
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| r1(X2,sK28(X2)) ),
inference(cnf_transformation,[],[f71]) ).
fof(f789,plain,
( spl42_107
| spl42_108
| ~ spl42_35 ),
inference(avatar_split_clause,[],[f780,f344,f786,f782]) ).
fof(f780,plain,
( p2(sK31(sK38))
| p2(sK28(sK31(sK38)))
| ~ spl42_35 ),
inference(subsumption_resolution,[],[f779,f140]) ).
fof(f779,plain,
( p2(sK31(sK38))
| p2(sK28(sK31(sK38)))
| ~ r1(sK30,sK38)
| ~ spl42_35 ),
inference(subsumption_resolution,[],[f775,f141]) ).
fof(f775,plain,
( p2(sK31(sK38))
| p2(sK28(sK31(sK38)))
| p2(sK38)
| ~ r1(sK30,sK38)
| ~ spl42_35 ),
inference(resolution,[],[f633,f155]) ).
fof(f633,plain,
( ! [X0] :
( ~ r1(sK38,X0)
| p2(X0)
| p2(sK28(X0)) )
| ~ spl42_35 ),
inference(resolution,[],[f545,f140]) ).
fof(f545,plain,
( ! [X0,X1] :
( ~ r1(sK30,X1)
| ~ r1(X1,X0)
| p2(X0)
| p2(sK28(X0)) )
| ~ spl42_35 ),
inference(resolution,[],[f133,f346]) ).
fof(f133,plain,
! [X2,X0,X1] :
( ~ sP0(X0)
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| p2(sK28(X2)) ),
inference(cnf_transformation,[],[f71]) ).
fof(f614,plain,
( spl42_12
| ~ spl42_4
| ~ spl42_76 ),
inference(avatar_split_clause,[],[f613,f584,f173,f218]) ).
fof(f584,plain,
( spl42_76
<=> p2(sK37(sK32)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_76])]) ).
fof(f613,plain,
( p2(sK32)
| ~ spl42_4
| ~ spl42_76 ),
inference(subsumption_resolution,[],[f610,f175]) ).
fof(f610,plain,
( p2(sK32)
| ~ r1(sK30,sK32)
| ~ spl42_76 ),
inference(resolution,[],[f586,f144]) ).
fof(f586,plain,
( p2(sK37(sK32))
| ~ spl42_76 ),
inference(avatar_component_clause,[],[f584]) ).
fof(f587,plain,
( spl42_12
| spl42_76
| ~ spl42_4
| ~ spl42_74 ),
inference(avatar_split_clause,[],[f582,f567,f173,f584,f218]) ).
fof(f567,plain,
( spl42_74
<=> ! [X0] :
( p2(X0)
| ~ r1(sK36(sK32),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_74])]) ).
fof(f582,plain,
( p2(sK37(sK32))
| p2(sK32)
| ~ spl42_4
| ~ spl42_74 ),
inference(subsumption_resolution,[],[f577,f175]) ).
fof(f577,plain,
( p2(sK37(sK32))
| p2(sK32)
| ~ r1(sK30,sK32)
| ~ spl42_74 ),
inference(resolution,[],[f568,f143]) ).
fof(f568,plain,
( ! [X0] :
( ~ r1(sK36(sK32),X0)
| p2(X0) )
| ~ spl42_74 ),
inference(avatar_component_clause,[],[f567]) ).
fof(f569,plain,
( spl42_12
| spl42_74
| ~ spl42_4
| ~ spl42_11
| ~ spl42_72 ),
inference(avatar_split_clause,[],[f565,f552,f214,f173,f567,f218]) ).
fof(f214,plain,
( spl42_11
<=> p2(sK36(sK32)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_11])]) ).
fof(f565,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK36(sK32),X0)
| p2(sK32) )
| ~ spl42_4
| ~ spl42_11
| ~ spl42_72 ),
inference(subsumption_resolution,[],[f564,f175]) ).
fof(f564,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK36(sK32),X0)
| p2(sK32)
| ~ r1(sK30,sK32) )
| ~ spl42_11
| ~ spl42_72 ),
inference(subsumption_resolution,[],[f557,f216]) ).
fof(f216,plain,
( p2(sK36(sK32))
| ~ spl42_11 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f557,plain,
( ! [X0] :
( ~ p2(sK36(sK32))
| p2(X0)
| ~ r1(sK36(sK32),X0)
| p2(sK32)
| ~ r1(sK30,sK32) )
| ~ spl42_72 ),
inference(resolution,[],[f553,f142]) ).
fof(f553,plain,
( ! [X0,X1] :
( ~ r1(sK32,X1)
| ~ p2(X1)
| p2(X0)
| ~ r1(X1,X0) )
| ~ spl42_72 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f486,plain,
( spl42_34
| spl42_35
| ~ spl42_1 ),
inference(avatar_split_clause,[],[f484,f159,f344,f340]) ).
fof(f484,plain,
( sP0(sK30)
| r1(sK30,sK12(sK30))
| ~ spl42_1 ),
inference(resolution,[],[f161,f86]) ).
fof(f86,plain,
! [X0] :
( ~ sP11(X0)
| sP0(X0)
| r1(X0,sK12(X0)) ),
inference(cnf_transformation,[],[f23]) ).
fof(f254,plain,
( spl42_11
| spl42_12
| ~ spl42_4 ),
inference(avatar_split_clause,[],[f252,f173,f218,f214]) ).
fof(f252,plain,
( p2(sK32)
| p2(sK36(sK32))
| ~ spl42_4 ),
inference(resolution,[],[f175,f145]) ).
fof(f176,plain,
( spl42_1
| spl42_4 ),
inference(avatar_split_clause,[],[f152,f173,f159]) ).
fof(f152,plain,
( r1(sK30,sK32)
| sP11(sK30) ),
inference(cnf_transformation,[],[f85]) ).
fof(f171,plain,
( spl42_1
| spl42_3 ),
inference(avatar_split_clause,[],[f153,f168,f159]) ).
fof(f153,plain,
( sP9(sK32)
| sP11(sK30) ),
inference(cnf_transformation,[],[f85]) ).
fof(f166,plain,
( spl42_1
| spl42_2 ),
inference(avatar_split_clause,[],[f154,f163,f159]) ).
fof(f154,plain,
( sP10(sK32)
| sP11(sK30) ),
inference(cnf_transformation,[],[f85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : LCL642+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n027.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 13:45:06 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.37 % (24422)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (24427)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38 % (24426)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.38 % (24424)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (24428)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38 % (24429)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38 % (24423)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 % (24425)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [4]
% 0.14/0.40 TRYING [4]
% 0.14/0.40 TRYING [4]
% 0.14/0.40 TRYING [4]
% 0.14/0.40 TRYING [5]
% 0.14/0.41 TRYING [5]
% 0.14/0.41 TRYING [5]
% 0.14/0.41 % (24428)First to succeed.
% 0.14/0.41 TRYING [5]
% 0.14/0.42 % (24428)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-24422"
% 0.14/0.42 % (24428)Refutation found. Thanks to Tanya!
% 0.14/0.42 % SZS status Theorem for theBenchmark
% 0.14/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.42 % (24428)------------------------------
% 0.14/0.42 % (24428)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.42 % (24428)Termination reason: Refutation
% 0.14/0.42
% 0.14/0.42 % (24428)Memory used [KB]: 1700
% 0.14/0.42 % (24428)Time elapsed: 0.036 s
% 0.14/0.42 % (24428)Instructions burned: 66 (million)
% 0.14/0.42 % (24422)Success in time 0.052 s
%------------------------------------------------------------------------------