TSTP Solution File: LCL658+1.001 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : LCL658+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n015.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 : Fri May 3 02:38:37 EDT 2024
% Result : Theorem 7.63s 1.67s
% Output : CNFRefutation 7.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 22
% Syntax : Number of formulae : 205 ( 12 unt; 0 def)
% Number of atoms : 1404 ( 0 equ)
% Maximal formula atoms : 62 ( 6 avg)
% Number of connectives : 2060 ( 861 ~; 933 |; 249 &)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 4 con; 0-1 aty)
% Number of variables : 632 ( 0 sgn 350 !; 113 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,conjecture,
~ ? [X0] :
~ ( ~ ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ( ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
& ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) ) )
| ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f3,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ( ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
& ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) ) )
| ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) ) ),
inference(negated_conjecture,[],[f2]) ).
fof(f4,plain,
~ ~ ? [X0] :
~ ( ~ ~ ! [X1] :
( ~ ! [X2] :
( ~ ! [X3] :
( ~ p1(X3)
| ! [X4] :
( p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| p1(X2)
| ~ r1(X1,X2) )
| ! [X5] :
( ~ ! [X6] :
( p1(X6)
| ~ r1(X5,X6) )
| ~ r1(X1,X5) )
| ! [X7] :
( p1(X7)
| ~ r1(X1,X7) )
| ~ r1(X0,X1) )
| ~ ! [X8] :
( ( ( ~ ! [X9] :
( ~ ! [X10] :
( ~ p1(X10)
| ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
| p1(X9)
| ~ r1(X8,X9) )
| ! [X12] :
( ! [X13] :
( ~ ! [X14] :
( ~ p1(X14)
| ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| p1(X13)
| ~ r1(X12,X13) )
| ~ r1(X8,X12) ) )
& ! [X16] :
( ~ ! [X17] :
( p1(X17)
| ~ r1(X16,X17) )
| ! [X18] :
( ! [X19] :
( p1(X19)
| ~ r1(X18,X19) )
| ~ r1(X16,X18) )
| ~ r1(X8,X16) )
& ( ~ ! [X20] :
( ~ ! [X21] :
( ~ p1(X21)
| ! [X22] :
( p1(X22)
| ~ r1(X21,X22) )
| ~ r1(X20,X21) )
| p1(X20)
| ~ r1(X8,X20) )
| ! [X23] :
( ~ ! [X24] :
( p1(X24)
| ~ r1(X23,X24) )
| ~ r1(X8,X23) )
| p1(X8) )
& ( ~ ! [X25] :
( ~ ! [X26] :
( ~ ( ~ p1(X26)
| ! [X27] :
( p1(X27)
| ~ r1(X26,X27) ) )
| ! [X28] :
( ~ p1(X28)
| ! [X29] :
( p1(X29)
| ~ r1(X28,X29) )
| ~ r1(X26,X28) )
| ~ r1(X25,X26) )
| ~ p1(X25)
| ! [X30] :
( p1(X30)
| ~ r1(X25,X30) )
| ~ r1(X8,X25) )
| ! [X31] :
( ~ ! [X32] :
( ~ p1(X32)
| ! [X33] :
( p1(X33)
| ~ r1(X32,X33) )
| ~ r1(X31,X32) )
| ~ r1(X8,X31) )
| ~ p1(X8)
| ! [X34] :
( p1(X34)
| ~ r1(X8,X34) ) ) )
| ~ r1(X0,X8) ) ),
inference(rectify,[],[f3]) ).
fof(f5,plain,
? [X0] :
~ ( ! [X1] :
( ~ ! [X2] :
( ~ ! [X3] :
( ~ p1(X3)
| ! [X4] :
( p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| p1(X2)
| ~ r1(X1,X2) )
| ! [X5] :
( ~ ! [X6] :
( p1(X6)
| ~ r1(X5,X6) )
| ~ r1(X1,X5) )
| ! [X7] :
( p1(X7)
| ~ r1(X1,X7) )
| ~ r1(X0,X1) )
| ~ ! [X8] :
( ( ( ~ ! [X9] :
( ~ ! [X10] :
( ~ p1(X10)
| ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
| p1(X9)
| ~ r1(X8,X9) )
| ! [X12] :
( ! [X13] :
( ~ ! [X14] :
( ~ p1(X14)
| ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| p1(X13)
| ~ r1(X12,X13) )
| ~ r1(X8,X12) ) )
& ! [X16] :
( ~ ! [X17] :
( p1(X17)
| ~ r1(X16,X17) )
| ! [X18] :
( ! [X19] :
( p1(X19)
| ~ r1(X18,X19) )
| ~ r1(X16,X18) )
| ~ r1(X8,X16) )
& ( ~ ! [X20] :
( ~ ! [X21] :
( ~ p1(X21)
| ! [X22] :
( p1(X22)
| ~ r1(X21,X22) )
| ~ r1(X20,X21) )
| p1(X20)
| ~ r1(X8,X20) )
| ! [X23] :
( ~ ! [X24] :
( p1(X24)
| ~ r1(X23,X24) )
| ~ r1(X8,X23) )
| p1(X8) )
& ( ~ ! [X25] :
( ~ ! [X26] :
( ~ ( ~ p1(X26)
| ! [X27] :
( p1(X27)
| ~ r1(X26,X27) ) )
| ! [X28] :
( ~ p1(X28)
| ! [X29] :
( p1(X29)
| ~ r1(X28,X29) )
| ~ r1(X26,X28) )
| ~ r1(X25,X26) )
| ~ p1(X25)
| ! [X30] :
( p1(X30)
| ~ r1(X25,X30) )
| ~ r1(X8,X25) )
| ! [X31] :
( ~ ! [X32] :
( ~ p1(X32)
| ! [X33] :
( p1(X33)
| ~ r1(X32,X33) )
| ~ r1(X31,X32) )
| ~ r1(X8,X31) )
| ~ p1(X8)
| ! [X34] :
( p1(X34)
| ~ r1(X8,X34) ) ) )
| ~ r1(X0,X8) ) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
? [X0] :
( ? [X1] :
( ! [X2] :
( ? [X3] :
( p1(X3)
& ? [X4] :
( ~ p1(X4)
& r1(X3,X4) )
& r1(X2,X3) )
| p1(X2)
| ~ r1(X1,X2) )
& ? [X5] :
( ! [X6] :
( p1(X6)
| ~ r1(X5,X6) )
& r1(X1,X5) )
& ? [X7] :
( ~ p1(X7)
& r1(X1,X7) )
& r1(X0,X1) )
& ! [X8] :
( ( ( ? [X9] :
( ! [X10] :
( ~ p1(X10)
| ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
& ~ p1(X9)
& r1(X8,X9) )
| ! [X12] :
( ! [X13] :
( ? [X14] :
( p1(X14)
& ? [X15] :
( ~ p1(X15)
& r1(X14,X15) )
& r1(X13,X14) )
| p1(X13)
| ~ r1(X12,X13) )
| ~ r1(X8,X12) ) )
& ! [X16] :
( ? [X17] :
( ~ p1(X17)
& r1(X16,X17) )
| ! [X18] :
( ! [X19] :
( p1(X19)
| ~ r1(X18,X19) )
| ~ r1(X16,X18) )
| ~ r1(X8,X16) )
& ( ? [X20] :
( ! [X21] :
( ~ p1(X21)
| ! [X22] :
( p1(X22)
| ~ r1(X21,X22) )
| ~ r1(X20,X21) )
& ~ p1(X20)
& r1(X8,X20) )
| ! [X23] :
( ? [X24] :
( ~ p1(X24)
& r1(X23,X24) )
| ~ r1(X8,X23) )
| p1(X8) )
& ( ? [X25] :
( ! [X26] :
( ( p1(X26)
& ? [X27] :
( ~ p1(X27)
& r1(X26,X27) ) )
| ! [X28] :
( ~ p1(X28)
| ! [X29] :
( p1(X29)
| ~ r1(X28,X29) )
| ~ r1(X26,X28) )
| ~ r1(X25,X26) )
& p1(X25)
& ? [X30] :
( ~ p1(X30)
& r1(X25,X30) )
& r1(X8,X25) )
| ! [X31] :
( ? [X32] :
( p1(X32)
& ? [X33] :
( ~ p1(X33)
& r1(X32,X33) )
& r1(X31,X32) )
| ~ r1(X8,X31) )
| ~ p1(X8)
| ! [X34] :
( p1(X34)
| ~ r1(X8,X34) ) ) )
| ~ r1(X0,X8) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f7,plain,
! [X8] :
( ? [X25] :
( ! [X26] :
( ( p1(X26)
& ? [X27] :
( ~ p1(X27)
& r1(X26,X27) ) )
| ! [X28] :
( ~ p1(X28)
| ! [X29] :
( p1(X29)
| ~ r1(X28,X29) )
| ~ r1(X26,X28) )
| ~ r1(X25,X26) )
& p1(X25)
& ? [X30] :
( ~ p1(X30)
& r1(X25,X30) )
& r1(X8,X25) )
| ~ sP0(X8) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f8,plain,
! [X8] :
( ! [X12] :
( ! [X13] :
( ? [X14] :
( p1(X14)
& ? [X15] :
( ~ p1(X15)
& r1(X14,X15) )
& r1(X13,X14) )
| p1(X13)
| ~ r1(X12,X13) )
| ~ r1(X8,X12) )
| ~ sP1(X8) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f9,plain,
! [X8] :
( ? [X20] :
( ! [X21] :
( ~ p1(X21)
| ! [X22] :
( p1(X22)
| ~ r1(X21,X22) )
| ~ r1(X20,X21) )
& ~ p1(X20)
& r1(X8,X20) )
| ! [X23] :
( ? [X24] :
( ~ p1(X24)
& r1(X23,X24) )
| ~ r1(X8,X23) )
| p1(X8)
| ~ sP2(X8) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f10,plain,
! [X8] :
( sP0(X8)
| ! [X31] :
( ? [X32] :
( p1(X32)
& ? [X33] :
( ~ p1(X33)
& r1(X32,X33) )
& r1(X31,X32) )
| ~ r1(X8,X31) )
| ~ p1(X8)
| ! [X34] :
( p1(X34)
| ~ r1(X8,X34) )
| ~ sP3(X8) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f11,plain,
? [X0] :
( ? [X1] :
( ! [X2] :
( ? [X3] :
( p1(X3)
& ? [X4] :
( ~ p1(X4)
& r1(X3,X4) )
& r1(X2,X3) )
| p1(X2)
| ~ r1(X1,X2) )
& ? [X5] :
( ! [X6] :
( p1(X6)
| ~ r1(X5,X6) )
& r1(X1,X5) )
& ? [X7] :
( ~ p1(X7)
& r1(X1,X7) )
& r1(X0,X1) )
& ! [X8] :
( ( ( ? [X9] :
( ! [X10] :
( ~ p1(X10)
| ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
& ~ p1(X9)
& r1(X8,X9) )
| sP1(X8) )
& ! [X16] :
( ? [X17] :
( ~ p1(X17)
& r1(X16,X17) )
| ! [X18] :
( ! [X19] :
( p1(X19)
| ~ r1(X18,X19) )
| ~ r1(X16,X18) )
| ~ r1(X8,X16) )
& sP2(X8)
& sP3(X8) )
| ~ r1(X0,X8) ) ),
inference(definition_folding,[],[f6,f10,f9,f8,f7]) ).
fof(f12,plain,
! [X8] :
( sP0(X8)
| ! [X31] :
( ? [X32] :
( p1(X32)
& ? [X33] :
( ~ p1(X33)
& r1(X32,X33) )
& r1(X31,X32) )
| ~ r1(X8,X31) )
| ~ p1(X8)
| ! [X34] :
( p1(X34)
| ~ r1(X8,X34) )
| ~ sP3(X8) ),
inference(nnf_transformation,[],[f10]) ).
fof(f13,plain,
! [X0] :
( sP0(X0)
| ! [X1] :
( ? [X2] :
( p1(X2)
& ? [X3] :
( ~ p1(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ p1(X0)
| ! [X4] :
( p1(X4)
| ~ r1(X0,X4) )
| ~ sP3(X0) ),
inference(rectify,[],[f12]) ).
fof(f14,plain,
! [X1] :
( ? [X2] :
( p1(X2)
& ? [X3] :
( ~ p1(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p1(sK4(X1))
& ? [X3] :
( ~ p1(X3)
& r1(sK4(X1),X3) )
& r1(X1,sK4(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
! [X1] :
( ? [X3] :
( ~ p1(X3)
& r1(sK4(X1),X3) )
=> ( ~ p1(sK5(X1))
& r1(sK4(X1),sK5(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
! [X0] :
( sP0(X0)
| ! [X1] :
( ( p1(sK4(X1))
& ~ p1(sK5(X1))
& r1(sK4(X1),sK5(X1))
& r1(X1,sK4(X1)) )
| ~ r1(X0,X1) )
| ~ p1(X0)
| ! [X4] :
( p1(X4)
| ~ r1(X0,X4) )
| ~ sP3(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f13,f15,f14]) ).
fof(f17,plain,
! [X8] :
( ? [X20] :
( ! [X21] :
( ~ p1(X21)
| ! [X22] :
( p1(X22)
| ~ r1(X21,X22) )
| ~ r1(X20,X21) )
& ~ p1(X20)
& r1(X8,X20) )
| ! [X23] :
( ? [X24] :
( ~ p1(X24)
& r1(X23,X24) )
| ~ r1(X8,X23) )
| p1(X8)
| ~ sP2(X8) ),
inference(nnf_transformation,[],[f9]) ).
fof(f18,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ p1(X2)
| ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
& ~ p1(X1)
& r1(X0,X1) )
| ! [X4] :
( ? [X5] :
( ~ p1(X5)
& r1(X4,X5) )
| ~ r1(X0,X4) )
| p1(X0)
| ~ sP2(X0) ),
inference(rectify,[],[f17]) ).
fof(f19,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ p1(X2)
| ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
& ~ p1(X1)
& r1(X0,X1) )
=> ( ! [X2] :
( ~ p1(X2)
| ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ~ r1(sK6(X0),X2) )
& ~ p1(sK6(X0))
& r1(X0,sK6(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
! [X4] :
( ? [X5] :
( ~ p1(X5)
& r1(X4,X5) )
=> ( ~ p1(sK7(X4))
& r1(X4,sK7(X4)) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
! [X0] :
( ( ! [X2] :
( ~ p1(X2)
| ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ~ r1(sK6(X0),X2) )
& ~ p1(sK6(X0))
& r1(X0,sK6(X0)) )
| ! [X4] :
( ( ~ p1(sK7(X4))
& r1(X4,sK7(X4)) )
| ~ r1(X0,X4) )
| p1(X0)
| ~ sP2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f18,f20,f19]) ).
fof(f22,plain,
! [X8] :
( ! [X12] :
( ! [X13] :
( ? [X14] :
( p1(X14)
& ? [X15] :
( ~ p1(X15)
& r1(X14,X15) )
& r1(X13,X14) )
| p1(X13)
| ~ r1(X12,X13) )
| ~ r1(X8,X12) )
| ~ sP1(X8) ),
inference(nnf_transformation,[],[f8]) ).
fof(f23,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ? [X3] :
( p1(X3)
& ? [X4] :
( ~ p1(X4)
& r1(X3,X4) )
& r1(X2,X3) )
| p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP1(X0) ),
inference(rectify,[],[f22]) ).
fof(f24,plain,
! [X2] :
( ? [X3] :
( p1(X3)
& ? [X4] :
( ~ p1(X4)
& r1(X3,X4) )
& r1(X2,X3) )
=> ( p1(sK8(X2))
& ? [X4] :
( ~ p1(X4)
& r1(sK8(X2),X4) )
& r1(X2,sK8(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
! [X2] :
( ? [X4] :
( ~ p1(X4)
& r1(sK8(X2),X4) )
=> ( ~ p1(sK9(X2))
& r1(sK8(X2),sK9(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( p1(sK8(X2))
& ~ p1(sK9(X2))
& r1(sK8(X2),sK9(X2))
& r1(X2,sK8(X2)) )
| p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f23,f25,f24]) ).
fof(f27,plain,
! [X8] :
( ? [X25] :
( ! [X26] :
( ( p1(X26)
& ? [X27] :
( ~ p1(X27)
& r1(X26,X27) ) )
| ! [X28] :
( ~ p1(X28)
| ! [X29] :
( p1(X29)
| ~ r1(X28,X29) )
| ~ r1(X26,X28) )
| ~ r1(X25,X26) )
& p1(X25)
& ? [X30] :
( ~ p1(X30)
& r1(X25,X30) )
& r1(X8,X25) )
| ~ sP0(X8) ),
inference(nnf_transformation,[],[f7]) ).
fof(f28,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ( p1(X2)
& ? [X3] :
( ~ p1(X3)
& r1(X2,X3) ) )
| ! [X4] :
( ~ p1(X4)
| ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X2,X4) )
| ~ r1(X1,X2) )
& p1(X1)
& ? [X6] :
( ~ p1(X6)
& r1(X1,X6) )
& r1(X0,X1) )
| ~ sP0(X0) ),
inference(rectify,[],[f27]) ).
fof(f29,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ( p1(X2)
& ? [X3] :
( ~ p1(X3)
& r1(X2,X3) ) )
| ! [X4] :
( ~ p1(X4)
| ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X2,X4) )
| ~ r1(X1,X2) )
& p1(X1)
& ? [X6] :
( ~ p1(X6)
& r1(X1,X6) )
& r1(X0,X1) )
=> ( ! [X2] :
( ( p1(X2)
& ? [X3] :
( ~ p1(X3)
& r1(X2,X3) ) )
| ! [X4] :
( ~ p1(X4)
| ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X2,X4) )
| ~ r1(sK10(X0),X2) )
& p1(sK10(X0))
& ? [X6] :
( ~ p1(X6)
& r1(sK10(X0),X6) )
& r1(X0,sK10(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
! [X2] :
( ? [X3] :
( ~ p1(X3)
& r1(X2,X3) )
=> ( ~ p1(sK11(X2))
& r1(X2,sK11(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
! [X0] :
( ? [X6] :
( ~ p1(X6)
& r1(sK10(X0),X6) )
=> ( ~ p1(sK12(X0))
& r1(sK10(X0),sK12(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f32,plain,
! [X0] :
( ( ! [X2] :
( ( p1(X2)
& ~ p1(sK11(X2))
& r1(X2,sK11(X2)) )
| ! [X4] :
( ~ p1(X4)
| ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X2,X4) )
| ~ r1(sK10(X0),X2) )
& p1(sK10(X0))
& ~ p1(sK12(X0))
& r1(sK10(X0),sK12(X0))
& r1(X0,sK10(X0)) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f28,f31,f30,f29]) ).
fof(f33,plain,
? [X0] :
( ? [X1] :
( ! [X2] :
( ? [X3] :
( p1(X3)
& ? [X4] :
( ~ p1(X4)
& r1(X3,X4) )
& r1(X2,X3) )
| p1(X2)
| ~ r1(X1,X2) )
& ? [X5] :
( ! [X6] :
( p1(X6)
| ~ r1(X5,X6) )
& r1(X1,X5) )
& ? [X7] :
( ~ p1(X7)
& r1(X1,X7) )
& r1(X0,X1) )
& ! [X8] :
( ( ( ? [X9] :
( ! [X10] :
( ~ p1(X10)
| ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
& ~ p1(X9)
& r1(X8,X9) )
| sP1(X8) )
& ! [X12] :
( ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
| ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ r1(X12,X14) )
| ~ r1(X8,X12) )
& sP2(X8)
& sP3(X8) )
| ~ r1(X0,X8) ) ),
inference(rectify,[],[f11]) ).
fof(f34,plain,
( ? [X0] :
( ? [X1] :
( ! [X2] :
( ? [X3] :
( p1(X3)
& ? [X4] :
( ~ p1(X4)
& r1(X3,X4) )
& r1(X2,X3) )
| p1(X2)
| ~ r1(X1,X2) )
& ? [X5] :
( ! [X6] :
( p1(X6)
| ~ r1(X5,X6) )
& r1(X1,X5) )
& ? [X7] :
( ~ p1(X7)
& r1(X1,X7) )
& r1(X0,X1) )
& ! [X8] :
( ( ( ? [X9] :
( ! [X10] :
( ~ p1(X10)
| ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
& ~ p1(X9)
& r1(X8,X9) )
| sP1(X8) )
& ! [X12] :
( ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
| ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ r1(X12,X14) )
| ~ r1(X8,X12) )
& sP2(X8)
& sP3(X8) )
| ~ r1(X0,X8) ) )
=> ( ? [X1] :
( ! [X2] :
( ? [X3] :
( p1(X3)
& ? [X4] :
( ~ p1(X4)
& r1(X3,X4) )
& r1(X2,X3) )
| p1(X2)
| ~ r1(X1,X2) )
& ? [X5] :
( ! [X6] :
( p1(X6)
| ~ r1(X5,X6) )
& r1(X1,X5) )
& ? [X7] :
( ~ p1(X7)
& r1(X1,X7) )
& r1(sK13,X1) )
& ! [X8] :
( ( ( ? [X9] :
( ! [X10] :
( ~ p1(X10)
| ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
& ~ p1(X9)
& r1(X8,X9) )
| sP1(X8) )
& ! [X12] :
( ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
| ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ r1(X12,X14) )
| ~ r1(X8,X12) )
& sP2(X8)
& sP3(X8) )
| ~ r1(sK13,X8) ) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
( ? [X1] :
( ! [X2] :
( ? [X3] :
( p1(X3)
& ? [X4] :
( ~ p1(X4)
& r1(X3,X4) )
& r1(X2,X3) )
| p1(X2)
| ~ r1(X1,X2) )
& ? [X5] :
( ! [X6] :
( p1(X6)
| ~ r1(X5,X6) )
& r1(X1,X5) )
& ? [X7] :
( ~ p1(X7)
& r1(X1,X7) )
& r1(sK13,X1) )
=> ( ! [X2] :
( ? [X3] :
( p1(X3)
& ? [X4] :
( ~ p1(X4)
& r1(X3,X4) )
& r1(X2,X3) )
| p1(X2)
| ~ r1(sK14,X2) )
& ? [X5] :
( ! [X6] :
( p1(X6)
| ~ r1(X5,X6) )
& r1(sK14,X5) )
& ? [X7] :
( ~ p1(X7)
& r1(sK14,X7) )
& r1(sK13,sK14) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
! [X2] :
( ? [X3] :
( p1(X3)
& ? [X4] :
( ~ p1(X4)
& r1(X3,X4) )
& r1(X2,X3) )
=> ( p1(sK15(X2))
& ? [X4] :
( ~ p1(X4)
& r1(sK15(X2),X4) )
& r1(X2,sK15(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
! [X2] :
( ? [X4] :
( ~ p1(X4)
& r1(sK15(X2),X4) )
=> ( ~ p1(sK16(X2))
& r1(sK15(X2),sK16(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
( ? [X5] :
( ! [X6] :
( p1(X6)
| ~ r1(X5,X6) )
& r1(sK14,X5) )
=> ( ! [X6] :
( p1(X6)
| ~ r1(sK17,X6) )
& r1(sK14,sK17) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
( ? [X7] :
( ~ p1(X7)
& r1(sK14,X7) )
=> ( ~ p1(sK18)
& r1(sK14,sK18) ) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
! [X8] :
( ? [X9] :
( ! [X10] :
( ~ p1(X10)
| ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
& ~ p1(X9)
& r1(X8,X9) )
=> ( ! [X10] :
( ~ p1(X10)
| ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
| ~ r1(sK19(X8),X10) )
& ~ p1(sK19(X8))
& r1(X8,sK19(X8)) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
! [X12] :
( ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
=> ( ~ p1(sK20(X12))
& r1(X12,sK20(X12)) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
( ! [X2] :
( ( p1(sK15(X2))
& ~ p1(sK16(X2))
& r1(sK15(X2),sK16(X2))
& r1(X2,sK15(X2)) )
| p1(X2)
| ~ r1(sK14,X2) )
& ! [X6] :
( p1(X6)
| ~ r1(sK17,X6) )
& r1(sK14,sK17)
& ~ p1(sK18)
& r1(sK14,sK18)
& r1(sK13,sK14)
& ! [X8] :
( ( ( ( ! [X10] :
( ~ p1(X10)
| ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
| ~ r1(sK19(X8),X10) )
& ~ p1(sK19(X8))
& r1(X8,sK19(X8)) )
| sP1(X8) )
& ! [X12] :
( ( ~ p1(sK20(X12))
& r1(X12,sK20(X12)) )
| ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ r1(X12,X14) )
| ~ r1(X8,X12) )
& sP2(X8)
& sP3(X8) )
| ~ r1(sK13,X8) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16,sK17,sK18,sK19,sK20])],[f33,f41,f40,f39,f38,f37,f36,f35,f34]) ).
fof(f44,plain,
! [X0,X1,X4] :
( sP0(X0)
| r1(X1,sK4(X1))
| ~ r1(X0,X1)
| ~ p1(X0)
| p1(X4)
| ~ r1(X0,X4)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f45,plain,
! [X0,X1,X4] :
( sP0(X0)
| r1(sK4(X1),sK5(X1))
| ~ r1(X0,X1)
| ~ p1(X0)
| p1(X4)
| ~ r1(X0,X4)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f46,plain,
! [X0,X1,X4] :
( sP0(X0)
| ~ p1(sK5(X1))
| ~ r1(X0,X1)
| ~ p1(X0)
| p1(X4)
| ~ r1(X0,X4)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f47,plain,
! [X0,X1,X4] :
( sP0(X0)
| p1(sK4(X1))
| ~ r1(X0,X1)
| ~ p1(X0)
| p1(X4)
| ~ r1(X0,X4)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f48,plain,
! [X0,X4] :
( r1(X0,sK6(X0))
| r1(X4,sK7(X4))
| ~ r1(X0,X4)
| p1(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f49,plain,
! [X0,X4] :
( r1(X0,sK6(X0))
| ~ p1(sK7(X4))
| ~ r1(X0,X4)
| p1(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f50,plain,
! [X0,X4] :
( ~ p1(sK6(X0))
| r1(X4,sK7(X4))
| ~ r1(X0,X4)
| p1(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f51,plain,
! [X0,X4] :
( ~ p1(sK6(X0))
| ~ p1(sK7(X4))
| ~ r1(X0,X4)
| p1(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f52,plain,
! [X2,X3,X0,X4] :
( ~ p1(X2)
| p1(X3)
| ~ r1(X2,X3)
| ~ r1(sK6(X0),X2)
| r1(X4,sK7(X4))
| ~ r1(X0,X4)
| p1(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f53,plain,
! [X2,X3,X0,X4] :
( ~ p1(X2)
| p1(X3)
| ~ r1(X2,X3)
| ~ r1(sK6(X0),X2)
| ~ p1(sK7(X4))
| ~ r1(X0,X4)
| p1(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f54,plain,
! [X2,X0,X1] :
( r1(X2,sK8(X2))
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f55,plain,
! [X2,X0,X1] :
( r1(sK8(X2),sK9(X2))
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f56,plain,
! [X2,X0,X1] :
( ~ p1(sK9(X2))
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f57,plain,
! [X2,X0,X1] :
( p1(sK8(X2))
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f58,plain,
! [X0] :
( r1(X0,sK10(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f59,plain,
! [X0] :
( r1(sK10(X0),sK12(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f60,plain,
! [X0] :
( ~ p1(sK12(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f64,plain,
! [X2,X0,X4,X5] :
( p1(X2)
| ~ p1(X4)
| p1(X5)
| ~ r1(X4,X5)
| ~ r1(X2,X4)
| ~ r1(sK10(X0),X2)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f65,plain,
! [X8] :
( sP3(X8)
| ~ r1(sK13,X8) ),
inference(cnf_transformation,[],[f42]) ).
fof(f66,plain,
! [X8] :
( sP2(X8)
| ~ r1(sK13,X8) ),
inference(cnf_transformation,[],[f42]) ).
fof(f67,plain,
! [X8,X14,X15,X12] :
( r1(X12,sK20(X12))
| p1(X15)
| ~ r1(X14,X15)
| ~ r1(X12,X14)
| ~ r1(X8,X12)
| ~ r1(sK13,X8) ),
inference(cnf_transformation,[],[f42]) ).
fof(f68,plain,
! [X8,X14,X15,X12] :
( ~ p1(sK20(X12))
| p1(X15)
| ~ r1(X14,X15)
| ~ r1(X12,X14)
| ~ r1(X8,X12)
| ~ r1(sK13,X8) ),
inference(cnf_transformation,[],[f42]) ).
fof(f69,plain,
! [X8] :
( r1(X8,sK19(X8))
| sP1(X8)
| ~ r1(sK13,X8) ),
inference(cnf_transformation,[],[f42]) ).
fof(f70,plain,
! [X8] :
( ~ p1(sK19(X8))
| sP1(X8)
| ~ r1(sK13,X8) ),
inference(cnf_transformation,[],[f42]) ).
fof(f71,plain,
! [X10,X11,X8] :
( ~ p1(X10)
| p1(X11)
| ~ r1(X10,X11)
| ~ r1(sK19(X8),X10)
| sP1(X8)
| ~ r1(sK13,X8) ),
inference(cnf_transformation,[],[f42]) ).
fof(f72,plain,
r1(sK13,sK14),
inference(cnf_transformation,[],[f42]) ).
fof(f73,plain,
r1(sK14,sK18),
inference(cnf_transformation,[],[f42]) ).
fof(f74,plain,
~ p1(sK18),
inference(cnf_transformation,[],[f42]) ).
fof(f75,plain,
r1(sK14,sK17),
inference(cnf_transformation,[],[f42]) ).
fof(f76,plain,
! [X6] :
( p1(X6)
| ~ r1(sK17,X6) ),
inference(cnf_transformation,[],[f42]) ).
fof(f77,plain,
! [X2] :
( r1(X2,sK15(X2))
| p1(X2)
| ~ r1(sK14,X2) ),
inference(cnf_transformation,[],[f42]) ).
fof(f78,plain,
! [X2] :
( r1(sK15(X2),sK16(X2))
| p1(X2)
| ~ r1(sK14,X2) ),
inference(cnf_transformation,[],[f42]) ).
fof(f79,plain,
! [X2] :
( ~ p1(sK16(X2))
| p1(X2)
| ~ r1(sK14,X2) ),
inference(cnf_transformation,[],[f42]) ).
fof(f80,plain,
! [X2] :
( p1(sK15(X2))
| p1(X2)
| ~ r1(sK14,X2) ),
inference(cnf_transformation,[],[f42]) ).
cnf(c_50,plain,
( ~ r1(X0,X1)
| ~ r1(X0,X2)
| ~ p1(X0)
| ~ sP3(X0)
| p1(sK4(X1))
| sP0(X0)
| p1(X2) ),
inference(cnf_transformation,[],[f47]) ).
cnf(c_51,plain,
( ~ r1(X0,X1)
| ~ r1(X0,X2)
| ~ p1(sK5(X1))
| ~ p1(X0)
| ~ sP3(X0)
| sP0(X0)
| p1(X2) ),
inference(cnf_transformation,[],[f46]) ).
cnf(c_52,plain,
( ~ r1(X0,X1)
| ~ r1(X0,X2)
| ~ p1(X0)
| ~ sP3(X0)
| r1(sK4(X1),sK5(X1))
| sP0(X0)
| p1(X2) ),
inference(cnf_transformation,[],[f45]) ).
cnf(c_53,plain,
( ~ r1(X0,X1)
| ~ r1(X0,X2)
| ~ p1(X0)
| ~ sP3(X0)
| r1(X1,sK4(X1))
| sP0(X0)
| p1(X2) ),
inference(cnf_transformation,[],[f44]) ).
cnf(c_54,plain,
( ~ r1(sK6(X0),X1)
| ~ r1(X0,X2)
| ~ r1(X1,X3)
| ~ p1(sK7(X2))
| ~ p1(X1)
| ~ sP2(X0)
| p1(X0)
| p1(X3) ),
inference(cnf_transformation,[],[f53]) ).
cnf(c_55,plain,
( ~ r1(sK6(X0),X1)
| ~ r1(X0,X2)
| ~ r1(X1,X3)
| ~ p1(X1)
| ~ sP2(X0)
| r1(X2,sK7(X2))
| p1(X0)
| p1(X3) ),
inference(cnf_transformation,[],[f52]) ).
cnf(c_56,plain,
( ~ r1(X0,X1)
| ~ p1(sK6(X0))
| ~ p1(sK7(X1))
| ~ sP2(X0)
| p1(X0) ),
inference(cnf_transformation,[],[f51]) ).
cnf(c_57,plain,
( ~ r1(X0,X1)
| ~ p1(sK6(X0))
| ~ sP2(X0)
| r1(X1,sK7(X1))
| p1(X0) ),
inference(cnf_transformation,[],[f50]) ).
cnf(c_58,plain,
( ~ r1(X0,X1)
| ~ p1(sK7(X1))
| ~ sP2(X0)
| r1(X0,sK6(X0))
| p1(X0) ),
inference(cnf_transformation,[],[f49]) ).
cnf(c_59,plain,
( ~ r1(X0,X1)
| ~ sP2(X0)
| r1(X0,sK6(X0))
| r1(X1,sK7(X1))
| p1(X0) ),
inference(cnf_transformation,[],[f48]) ).
cnf(c_60,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ sP1(X0)
| p1(sK8(X2))
| p1(X2) ),
inference(cnf_transformation,[],[f57]) ).
cnf(c_61,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ p1(sK9(X2))
| ~ sP1(X0)
| p1(X2) ),
inference(cnf_transformation,[],[f56]) ).
cnf(c_62,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ sP1(X0)
| r1(sK8(X2),sK9(X2))
| p1(X2) ),
inference(cnf_transformation,[],[f55]) ).
cnf(c_63,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ sP1(X0)
| r1(X2,sK8(X2))
| p1(X2) ),
inference(cnf_transformation,[],[f54]) ).
cnf(c_64,plain,
( ~ r1(sK10(X0),X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ sP0(X0)
| ~ p1(X2)
| p1(X1)
| p1(X3) ),
inference(cnf_transformation,[],[f64]) ).
cnf(c_68,plain,
( ~ p1(sK12(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f60]) ).
cnf(c_69,plain,
( ~ sP0(X0)
| r1(sK10(X0),sK12(X0)) ),
inference(cnf_transformation,[],[f59]) ).
cnf(c_70,plain,
( ~ sP0(X0)
| r1(X0,sK10(X0)) ),
inference(cnf_transformation,[],[f58]) ).
cnf(c_71,negated_conjecture,
( ~ r1(sK14,X0)
| p1(sK15(X0))
| p1(X0) ),
inference(cnf_transformation,[],[f80]) ).
cnf(c_72,negated_conjecture,
( ~ r1(sK14,X0)
| ~ p1(sK16(X0))
| p1(X0) ),
inference(cnf_transformation,[],[f79]) ).
cnf(c_73,negated_conjecture,
( ~ r1(sK14,X0)
| r1(sK15(X0),sK16(X0))
| p1(X0) ),
inference(cnf_transformation,[],[f78]) ).
cnf(c_74,negated_conjecture,
( ~ r1(sK14,X0)
| r1(X0,sK15(X0))
| p1(X0) ),
inference(cnf_transformation,[],[f77]) ).
cnf(c_75,negated_conjecture,
( ~ r1(sK17,X0)
| p1(X0) ),
inference(cnf_transformation,[],[f76]) ).
cnf(c_76,negated_conjecture,
r1(sK14,sK17),
inference(cnf_transformation,[],[f75]) ).
cnf(c_77,negated_conjecture,
~ p1(sK18),
inference(cnf_transformation,[],[f74]) ).
cnf(c_78,negated_conjecture,
r1(sK14,sK18),
inference(cnf_transformation,[],[f73]) ).
cnf(c_79,negated_conjecture,
r1(sK13,sK14),
inference(cnf_transformation,[],[f72]) ).
cnf(c_80,negated_conjecture,
( ~ r1(sK19(X0),X1)
| ~ r1(X1,X2)
| ~ r1(sK13,X0)
| ~ p1(X1)
| p1(X2)
| sP1(X0) ),
inference(cnf_transformation,[],[f71]) ).
cnf(c_81,negated_conjecture,
( ~ r1(sK13,X0)
| ~ p1(sK19(X0))
| sP1(X0) ),
inference(cnf_transformation,[],[f70]) ).
cnf(c_82,negated_conjecture,
( ~ r1(sK13,X0)
| r1(X0,sK19(X0))
| sP1(X0) ),
inference(cnf_transformation,[],[f69]) ).
cnf(c_83,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(sK13,X0)
| ~ p1(sK20(X1))
| p1(X3) ),
inference(cnf_transformation,[],[f68]) ).
cnf(c_84,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(sK13,X0)
| r1(X1,sK20(X1))
| p1(X3) ),
inference(cnf_transformation,[],[f67]) ).
cnf(c_85,negated_conjecture,
( ~ r1(sK13,X0)
| sP2(X0) ),
inference(cnf_transformation,[],[f66]) ).
cnf(c_86,negated_conjecture,
( ~ r1(sK13,X0)
| sP3(X0) ),
inference(cnf_transformation,[],[f65]) ).
cnf(c_121,plain,
( sP3(X0)
| ~ r1(sK13,X0) ),
inference(prop_impl_just,[status(thm)],[c_86]) ).
cnf(c_122,plain,
( ~ r1(sK13,X0)
| sP3(X0) ),
inference(renaming,[status(thm)],[c_121]) ).
cnf(c_123,plain,
( sP2(X0)
| ~ r1(sK13,X0) ),
inference(prop_impl_just,[status(thm)],[c_85]) ).
cnf(c_124,plain,
( ~ r1(sK13,X0)
| sP2(X0) ),
inference(renaming,[status(thm)],[c_123]) ).
cnf(c_139,plain,
( ~ r1(X0,X1)
| ~ r1(X0,X2)
| ~ r1(sK13,X0)
| ~ p1(X0)
| r1(X1,sK4(X1))
| sP0(X0)
| p1(X2) ),
inference(resolution,[status(thm)],[c_122,c_53]) ).
cnf(c_161,plain,
( ~ r1(X0,X1)
| ~ r1(X0,X2)
| ~ r1(sK13,X0)
| ~ p1(X0)
| r1(sK4(X1),sK5(X1))
| sP0(X0)
| p1(X2) ),
inference(resolution,[status(thm)],[c_122,c_52]) ).
cnf(c_183,plain,
( ~ r1(X0,X1)
| ~ r1(X0,X2)
| ~ r1(sK13,X0)
| ~ p1(sK5(X1))
| ~ p1(X0)
| sP0(X0)
| p1(X2) ),
inference(resolution,[status(thm)],[c_122,c_51]) ).
cnf(c_205,plain,
( ~ r1(X0,X1)
| ~ r1(X0,X2)
| ~ r1(sK13,X0)
| ~ p1(X0)
| p1(sK4(X1))
| sP0(X0)
| p1(X2) ),
inference(resolution,[status(thm)],[c_122,c_50]) ).
cnf(c_255,plain,
( ~ r1(X0,X1)
| ~ r1(sK13,X0)
| r1(X0,sK6(X0))
| r1(X1,sK7(X1))
| p1(X0) ),
inference(resolution,[status(thm)],[c_124,c_59]) ).
cnf(c_272,plain,
( ~ r1(X0,X1)
| ~ r1(sK13,X0)
| ~ p1(sK7(X1))
| r1(X0,sK6(X0))
| p1(X0) ),
inference(resolution,[status(thm)],[c_124,c_58]) ).
cnf(c_289,plain,
( ~ r1(X0,X1)
| ~ r1(sK13,X0)
| ~ p1(sK6(X0))
| r1(X1,sK7(X1))
| p1(X0) ),
inference(resolution,[status(thm)],[c_124,c_57]) ).
cnf(c_306,plain,
( ~ r1(X0,X1)
| ~ r1(sK13,X0)
| ~ p1(sK6(X0))
| ~ p1(sK7(X1))
| p1(X0) ),
inference(resolution,[status(thm)],[c_124,c_56]) ).
cnf(c_323,plain,
( ~ r1(sK6(X0),X1)
| ~ r1(X0,X2)
| ~ r1(X1,X3)
| ~ r1(sK13,X0)
| ~ p1(X1)
| r1(X2,sK7(X2))
| p1(X0)
| p1(X3) ),
inference(resolution,[status(thm)],[c_124,c_55]) ).
cnf(c_348,plain,
( ~ r1(sK6(X0),X1)
| ~ r1(X0,X2)
| ~ r1(X1,X3)
| ~ r1(sK13,X0)
| ~ p1(sK7(X2))
| ~ p1(X1)
| p1(X0)
| p1(X3) ),
inference(resolution,[status(thm)],[c_124,c_54]) ).
cnf(c_2950,plain,
( ~ r1(X0,X1)
| ~ sP1(X0)
| ~ sP0_iProver_def(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_60]) ).
cnf(c_2951,plain,
( ~ r1(X0,X1)
| p1(sK8(X1))
| p1(X1)
| sP0_iProver_def(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_60]) ).
cnf(c_2954,plain,
( ~ r1(X0,X1)
| ~ p1(sK9(X1))
| p1(X1)
| sP0_iProver_def(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_61]) ).
cnf(c_2957,plain,
( ~ r1(X0,X1)
| r1(sK8(X1),sK9(X1))
| p1(X1)
| sP0_iProver_def(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_62]) ).
cnf(c_2960,plain,
( ~ r1(X0,X1)
| r1(X1,sK8(X1))
| p1(X1)
| sP0_iProver_def(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_63]) ).
cnf(c_2963,plain,
( ~ r1(sK10(X0),X1)
| ~ sP0(X0)
| ~ sP1_iProver_def(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_64]) ).
cnf(c_2964,plain,
( ~ r1(X0,X1)
| p1(X1)
| ~ sP2_iProver_def(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_64]) ).
cnf(c_2965,plain,
( ~ r1(X0,X1)
| ~ p1(X1)
| p1(X0)
| sP1_iProver_def(X0)
| sP2_iProver_def(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_64]) ).
cnf(c_2990,negated_conjecture,
( ~ r1(sK19(X0),X1)
| ~ r1(sK13,X0)
| ~ p1(X1)
| sP1(X0)
| sP2_iProver_def(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_80]) ).
cnf(c_2995,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(sK13,X0)
| ~ sP3_iProver_def(X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_83]) ).
cnf(c_2996,negated_conjecture,
( ~ r1(X0,X1)
| ~ p1(sK20(X0))
| sP2_iProver_def(X1)
| sP3_iProver_def(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_83]) ).
cnf(c_3000,negated_conjecture,
( ~ r1(X0,X1)
| r1(X0,sK20(X0))
| sP2_iProver_def(X1)
| sP3_iProver_def(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_84]) ).
cnf(c_3004,plain,
( ~ r1(X0,X1)
| r1(X1,sK4(X1))
| ~ sP4_iProver_def(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_def])],[c_139]) ).
cnf(c_3005,plain,
( ~ r1(X0,X1)
| ~ r1(sK13,X0)
| ~ p1(X0)
| sP0(X0)
| p1(X1)
| sP4_iProver_def(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_139]) ).
cnf(c_3008,plain,
( ~ r1(X0,X1)
| r1(sK4(X1),sK5(X1))
| ~ sP5_iProver_def(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP5_iProver_def])],[c_161]) ).
cnf(c_3009,plain,
( ~ r1(X0,X1)
| ~ r1(sK13,X0)
| ~ p1(X0)
| sP0(X0)
| p1(X1)
| sP5_iProver_def(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_161]) ).
cnf(c_3012,plain,
( ~ r1(X0,X1)
| ~ p1(sK5(X1))
| ~ sP6_iProver_def(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP6_iProver_def])],[c_183]) ).
cnf(c_3013,plain,
( ~ r1(X0,X1)
| ~ r1(sK13,X0)
| ~ p1(X0)
| sP0(X0)
| p1(X1)
| sP6_iProver_def(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_183]) ).
cnf(c_3017,plain,
( ~ r1(X0,X1)
| ~ r1(sK13,X0)
| ~ p1(X0)
| sP0(X0)
| p1(X1)
| sP7_iProver_def(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_205]) ).
cnf(c_3024,plain,
( ~ r1(X0,X1)
| r1(X1,sK7(X1))
| ~ sP8_iProver_def(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP8_iProver_def])],[c_323]) ).
cnf(c_3025,plain,
( ~ r1(sK6(X0),X1)
| ~ r1(sK13,X0)
| ~ p1(X1)
| p1(X0)
| sP2_iProver_def(X1)
| sP8_iProver_def(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_323]) ).
cnf(c_3029,plain,
( ~ r1(X0,X1)
| ~ p1(sK7(X1))
| ~ sP9_iProver_def(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[sP9_iProver_def])],[c_348]) ).
cnf(c_3030,plain,
( ~ r1(sK6(X0),X1)
| ~ r1(sK13,X0)
| ~ p1(X1)
| p1(X0)
| sP2_iProver_def(X1)
| sP9_iProver_def(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_348]) ).
cnf(c_3171,plain,
( ~ sP0_iProver_def(sK10(X0))
| ~ sP0(X0)
| ~ sP1(X0) ),
inference(superposition,[status(thm)],[c_70,c_2950]) ).
cnf(c_3355,plain,
( ~ p1(sK7(sK17))
| ~ sP9_iProver_def(sK14) ),
inference(superposition,[status(thm)],[c_76,c_3029]) ).
cnf(c_3415,plain,
( ~ sP8_iProver_def(sK14)
| r1(sK17,sK7(sK17)) ),
inference(superposition,[status(thm)],[c_76,c_3024]) ).
cnf(c_3475,plain,
( ~ p1(sK5(sK17))
| ~ sP6_iProver_def(sK14) ),
inference(superposition,[status(thm)],[c_76,c_3012]) ).
cnf(c_3535,plain,
( ~ sP4_iProver_def(sK14)
| r1(sK17,sK4(sK17)) ),
inference(superposition,[status(thm)],[c_76,c_3004]) ).
cnf(c_3595,plain,
( ~ r1(sK13,sK14)
| ~ sP3_iProver_def(sK17) ),
inference(superposition,[status(thm)],[c_76,c_2995]) ).
cnf(c_3649,plain,
( ~ sP1_iProver_def(sK12(X0))
| ~ sP0(X0) ),
inference(superposition,[status(thm)],[c_69,c_2963]) ).
cnf(c_3677,plain,
( ~ sP0(X0)
| p1(sK8(sK12(X0)))
| p1(sK12(X0))
| sP0_iProver_def(sK10(X0)) ),
inference(superposition,[status(thm)],[c_69,c_2951]) ).
cnf(c_3719,plain,
( ~ sP0(X0)
| p1(sK8(sK12(X0)))
| sP0_iProver_def(sK10(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3677,c_68]) ).
cnf(c_3756,plain,
( ~ r1(sK14,X0)
| ~ sP2_iProver_def(sK15(X0))
| p1(sK16(X0))
| p1(X0) ),
inference(superposition,[status(thm)],[c_73,c_2964]) ).
cnf(c_3765,plain,
( ~ r1(sK14,X0)
| ~ sP2_iProver_def(sK15(X0))
| p1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3756,c_72]) ).
cnf(c_3849,plain,
( ~ sP5_iProver_def(sK14)
| r1(sK4(sK17),sK5(sK17)) ),
inference(superposition,[status(thm)],[c_76,c_3008]) ).
cnf(c_4104,plain,
( ~ sP0(X0)
| r1(sK12(X0),sK8(sK12(X0)))
| p1(sK12(X0))
| sP0_iProver_def(sK10(X0)) ),
inference(superposition,[status(thm)],[c_69,c_2960]) ).
cnf(c_4147,plain,
( ~ sP0(X0)
| r1(sK12(X0),sK8(sK12(X0)))
| sP0_iProver_def(sK10(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4104,c_68]) ).
cnf(c_4219,plain,
( ~ p1(sK9(sK12(X0)))
| ~ sP0(X0)
| p1(sK12(X0))
| sP0_iProver_def(sK10(X0)) ),
inference(superposition,[status(thm)],[c_69,c_2954]) ).
cnf(c_4253,plain,
( ~ p1(sK9(sK12(X0)))
| ~ sP0(X0)
| sP0_iProver_def(sK10(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4219,c_68]) ).
cnf(c_4365,plain,
( ~ sP0(X0)
| r1(sK8(sK12(X0)),sK9(sK12(X0)))
| p1(sK12(X0))
| sP0_iProver_def(sK10(X0)) ),
inference(superposition,[status(thm)],[c_69,c_2957]) ).
cnf(c_4408,plain,
( ~ sP0(X0)
| r1(sK8(sK12(X0)),sK9(sK12(X0)))
| sP0_iProver_def(sK10(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4365,c_68]) ).
cnf(c_4457,plain,
( ~ r1(sK17,sK7(sK17))
| p1(sK7(sK17)) ),
inference(instantiation,[status(thm)],[c_75]) ).
cnf(c_4687,plain,
( ~ r1(sK14,sK19(X0))
| ~ p1(sK15(sK19(X0)))
| ~ r1(sK13,X0)
| sP2_iProver_def(sK15(sK19(X0)))
| p1(sK19(X0))
| sP1(X0) ),
inference(superposition,[status(thm)],[c_74,c_2990]) ).
cnf(c_4734,plain,
( ~ r1(sK14,sK19(X0))
| ~ r1(sK13,X0)
| sP1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4687,c_81,c_3765,c_71]) ).
cnf(c_4750,plain,
( ~ r1(sK13,sK14)
| ~ p1(sK14)
| sP0(sK14)
| p1(sK18)
| sP7_iProver_def(sK14) ),
inference(superposition,[status(thm)],[c_78,c_3017]) ).
cnf(c_4837,plain,
( ~ r1(sK13,sK14)
| ~ p1(sK14)
| sP0(sK14)
| p1(sK18)
| sP6_iProver_def(sK14) ),
inference(superposition,[status(thm)],[c_78,c_3013]) ).
cnf(c_4924,plain,
( ~ r1(sK13,sK14)
| ~ p1(sK14)
| sP0(sK14)
| p1(sK18)
| sP5_iProver_def(sK14) ),
inference(superposition,[status(thm)],[c_78,c_3009]) ).
cnf(c_5032,plain,
( ~ r1(sK13,sK14)
| ~ p1(sK14)
| sP0(sK14)
| p1(sK18)
| sP4_iProver_def(sK14) ),
inference(superposition,[status(thm)],[c_78,c_3005]) ).
cnf(c_5107,plain,
( ~ r1(sK14,sK6(X0))
| ~ p1(sK15(sK6(X0)))
| ~ r1(sK13,X0)
| sP2_iProver_def(sK15(sK6(X0)))
| p1(sK6(X0))
| p1(X0)
| sP9_iProver_def(X0) ),
inference(superposition,[status(thm)],[c_74,c_3030]) ).
cnf(c_5161,plain,
( ~ r1(sK14,sK6(X0))
| ~ r1(sK13,X0)
| p1(sK6(X0))
| p1(X0)
| sP9_iProver_def(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5107,c_3765,c_71]) ).
cnf(c_5174,plain,
( ~ r1(sK14,sK6(X0))
| ~ p1(sK15(sK6(X0)))
| ~ r1(sK13,X0)
| sP2_iProver_def(sK15(sK6(X0)))
| p1(sK6(X0))
| p1(X0)
| sP8_iProver_def(X0) ),
inference(superposition,[status(thm)],[c_74,c_3025]) ).
cnf(c_5228,plain,
( ~ r1(sK14,sK6(X0))
| ~ r1(sK13,X0)
| p1(sK6(X0))
| p1(X0)
| sP8_iProver_def(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5174,c_3765,c_71]) ).
cnf(c_5242,plain,
( ~ r1(sK13,sK14)
| ~ p1(sK6(sK14))
| ~ p1(sK7(sK17))
| p1(sK14) ),
inference(superposition,[status(thm)],[c_76,c_306]) ).
cnf(c_5243,plain,
( ~ r1(sK13,sK14)
| ~ p1(sK6(sK14))
| ~ p1(sK7(sK18))
| p1(sK14) ),
inference(superposition,[status(thm)],[c_78,c_306]) ).
cnf(c_5329,plain,
( ~ r1(sK13,sK14)
| ~ p1(sK6(sK14))
| r1(sK17,sK7(sK17))
| p1(sK14) ),
inference(superposition,[status(thm)],[c_76,c_289]) ).
cnf(c_5447,plain,
( ~ r1(sK13,sK14)
| ~ p1(sK7(sK17))
| r1(sK14,sK6(sK14))
| p1(sK14) ),
inference(superposition,[status(thm)],[c_76,c_272]) ).
cnf(c_5448,plain,
( ~ r1(sK13,sK14)
| ~ p1(sK7(sK18))
| r1(sK14,sK6(sK14))
| p1(sK14) ),
inference(superposition,[status(thm)],[c_78,c_272]) ).
cnf(c_5551,plain,
( ~ r1(sK13,sK14)
| r1(sK14,sK6(sK14))
| r1(sK17,sK7(sK17))
| p1(sK14) ),
inference(superposition,[status(thm)],[c_76,c_255]) ).
cnf(c_5778,plain,
( ~ r1(sK17,sK20(sK17))
| p1(sK20(sK17)) ),
inference(instantiation,[status(thm)],[c_75]) ).
cnf(c_6475,plain,
( ~ sP8_iProver_def(sK14)
| p1(sK7(sK17)) ),
inference(superposition,[status(thm)],[c_3415,c_75]) ).
cnf(c_9555,plain,
( ~ p1(sK20(sK17))
| ~ sP4_iProver_def(sK14)
| sP2_iProver_def(sK4(sK17))
| sP3_iProver_def(sK17) ),
inference(superposition,[status(thm)],[c_3535,c_2996]) ).
cnf(c_9556,plain,
( ~ sP4_iProver_def(sK14)
| r1(sK17,sK20(sK17))
| sP2_iProver_def(sK4(sK17))
| sP3_iProver_def(sK17) ),
inference(superposition,[status(thm)],[c_3535,c_3000]) ).
cnf(c_13722,plain,
( ~ sP2_iProver_def(sK4(sK17))
| ~ sP5_iProver_def(sK14)
| p1(sK5(sK17)) ),
inference(superposition,[status(thm)],[c_3849,c_2964]) ).
cnf(c_15514,plain,
( ~ sP0_iProver_def(sK10(X0))
| ~ sP0(X0)
| ~ sP1(X0) ),
inference(superposition,[status(thm)],[c_70,c_2950]) ).
cnf(c_15567,plain,
( ~ r1(sK13,sK14)
| p1(sK15(sK19(sK14)))
| p1(sK19(sK14))
| sP1(sK14) ),
inference(superposition,[status(thm)],[c_82,c_71]) ).
cnf(c_15593,plain,
( ~ r1(sK13,sK14)
| p1(sK15(sK19(sK14)))
| sP1(sK14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15567,c_81]) ).
cnf(c_21463,plain,
( ~ p1(sK8(sK12(X0)))
| ~ sP0(X0)
| sP2_iProver_def(sK8(sK12(X0)))
| p1(sK12(X0))
| sP0_iProver_def(sK10(X0))
| sP1_iProver_def(sK12(X0)) ),
inference(superposition,[status(thm)],[c_4147,c_2965]) ).
cnf(c_21596,plain,
( ~ sP0(X0)
| sP2_iProver_def(sK8(sK12(X0)))
| sP0_iProver_def(sK10(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21463,c_3649,c_68,c_3719]) ).
cnf(c_23852,plain,
( ~ sP2_iProver_def(sK8(sK12(X0)))
| ~ sP0(X0)
| p1(sK9(sK12(X0)))
| sP0_iProver_def(sK10(X0)) ),
inference(superposition,[status(thm)],[c_4408,c_2964]) ).
cnf(c_23861,plain,
( ~ sP0(X0)
| sP0_iProver_def(sK10(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23852,c_4253,c_21596]) ).
cnf(c_26084,plain,
( ~ r1(sK13,sK14)
| sP1(sK14) ),
inference(superposition,[status(thm)],[c_82,c_4734]) ).
cnf(c_26245,plain,
( ~ p1(sK14)
| sP0(sK14) ),
inference(global_subsumption_just,[status(thm)],[c_4750,c_79,c_77,c_3475,c_3595,c_4837,c_4924,c_5032,c_5778,c_9556,c_9555,c_13722]) ).
cnf(c_26697,plain,
( ~ p1(sK6(sK14))
| p1(sK14) ),
inference(global_subsumption_just,[status(thm)],[c_5243,c_79,c_4457,c_5242,c_5329]) ).
cnf(c_28307,plain,
( ~ sP0(X0)
| ~ sP1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_15514,c_3171,c_23861]) ).
cnf(c_28366,plain,
sP1(sK14),
inference(global_subsumption_just,[status(thm)],[c_15593,c_79,c_26084]) ).
cnf(c_28368,plain,
~ sP0(sK14),
inference(superposition,[status(thm)],[c_28366,c_28307]) ).
cnf(c_29894,plain,
r1(sK14,sK6(sK14)),
inference(global_subsumption_just,[status(thm)],[c_5448,c_79,c_4457,c_5447,c_5551,c_26245,c_28368]) ).
cnf(c_29929,plain,
( ~ r1(sK13,sK14)
| p1(sK6(sK14))
| p1(sK14)
| sP8_iProver_def(sK14) ),
inference(superposition,[status(thm)],[c_29894,c_5228]) ).
cnf(c_29930,plain,
( ~ r1(sK13,sK14)
| p1(sK6(sK14))
| p1(sK14)
| sP9_iProver_def(sK14) ),
inference(superposition,[status(thm)],[c_29894,c_5161]) ).
cnf(c_30009,plain,
( ~ r1(sK13,sK14)
| p1(sK14)
| sP9_iProver_def(sK14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29930,c_26697]) ).
cnf(c_30018,plain,
( ~ r1(sK13,sK14)
| p1(sK14)
| sP8_iProver_def(sK14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29929,c_26697]) ).
cnf(c_30118,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_30009,c_30018,c_28368,c_26245,c_6475,c_3355,c_79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LCL658+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n015.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 : Thu May 2 19:15:51 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.63/1.67 % SZS status Started for theBenchmark.p
% 7.63/1.67 % SZS status Theorem for theBenchmark.p
% 7.63/1.67
% 7.63/1.67 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.63/1.67
% 7.63/1.67 ------ iProver source info
% 7.63/1.67
% 7.63/1.67 git: date: 2024-05-02 19:28:25 +0000
% 7.63/1.67 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.63/1.67 git: non_committed_changes: false
% 7.63/1.67
% 7.63/1.67 ------ Parsing...
% 7.63/1.67 ------ Clausification by vclausify_rel & Parsing by iProver...
% 7.63/1.67
% 7.63/1.67 ------ Preprocessing... pe_s pe:1:0s pe:2:0s pe_e pe_s pe_e
% 7.63/1.67
% 7.63/1.67 ------ Preprocessing... gs_s sp: 0 0s gs_e scvd_s sp: 23 0s scvd_e snvd_s sp: 0 0s snvd_e
% 7.63/1.67 ------ Proving...
% 7.63/1.67 ------ Problem Properties
% 7.63/1.67
% 7.63/1.67
% 7.63/1.67 clauses 46
% 7.63/1.67 conjectures 15
% 7.63/1.67 EPR 14
% 7.63/1.67 Horn 23
% 7.63/1.67 unary 5
% 7.63/1.67 binary 5
% 7.63/1.67 lits 163
% 7.63/1.67 lits eq 0
% 7.63/1.67 fd_pure 0
% 7.63/1.67 fd_pseudo 0
% 7.63/1.67 fd_cond 0
% 7.63/1.67 fd_pseudo_cond 0
% 7.63/1.67 AC symbols 0
% 7.63/1.67
% 7.63/1.67 ------ Input Options Time Limit: Unbounded
% 7.63/1.67
% 7.63/1.67
% 7.63/1.67 ------
% 7.63/1.67 Current options:
% 7.63/1.67 ------
% 7.63/1.67
% 7.63/1.67
% 7.63/1.67
% 7.63/1.67
% 7.63/1.67 ------ Proving...
% 7.63/1.67
% 7.63/1.67
% 7.63/1.67 % SZS status Theorem for theBenchmark.p
% 7.63/1.67
% 7.63/1.67 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.63/1.68
% 7.63/1.68
%------------------------------------------------------------------------------