TSTP Solution File: LCL656+1.005 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LCL656+1.005 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n003.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 : Thu Aug 31 07:46:49 EDT 2023
% Result : Theorem 2.33s 1.14s
% Output : CNFRefutation 2.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 19
% Syntax : Number of formulae : 76 ( 9 unt; 0 def)
% Number of atoms : 1376 ( 0 equ)
% Maximal formula atoms : 129 ( 18 avg)
% Number of connectives : 2314 (1014 ~; 749 |; 546 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 44 ( 11 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 27 ( 26 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 392 ( 0 sgn; 309 !; 52 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(f2,conjecture,
~ ? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ( ( ~ p101(X1)
| p100(X1) )
& ( ~ p102(X1)
| p101(X1) )
& ( ~ p103(X1)
| p102(X1) )
& ( ~ p104(X1)
| p103(X1) )
& ( ~ p105(X1)
| p104(X1) )
& ( ~ p106(X1)
| p105(X1) )
& ( ~ p100(X1)
| ( ( ~ p1(X1)
| ! [X0] :
( ~ p100(X0)
| p1(X0)
| ~ r1(X1,X0) ) )
& ( p1(X1)
| ! [X0] :
( ~ p100(X0)
| ~ p1(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p101(X1)
| ( ( ~ p2(X1)
| ! [X0] :
( ~ p101(X0)
| p2(X0)
| ~ r1(X1,X0) ) )
& ( p2(X1)
| ! [X0] :
( ~ p101(X0)
| ~ p2(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p102(X1)
| ( ( ~ p3(X1)
| ! [X0] :
( ~ p102(X0)
| p3(X0)
| ~ r1(X1,X0) ) )
& ( p3(X1)
| ! [X0] :
( ~ p102(X0)
| ~ p3(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p103(X1)
| ( ( ~ p4(X1)
| ! [X0] :
( ~ p103(X0)
| p4(X0)
| ~ r1(X1,X0) ) )
& ( p4(X1)
| ! [X0] :
( ~ p103(X0)
| ~ p4(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p104(X1)
| ( ( ~ p5(X1)
| ! [X0] :
( ~ p104(X0)
| p5(X0)
| ~ r1(X1,X0) ) )
& ( p5(X1)
| ! [X0] :
( ~ p104(X0)
| ~ p5(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p105(X1)
| ( ( ~ p6(X1)
| ! [X0] :
( ~ p105(X0)
| p6(X0)
| ~ r1(X1,X0) ) )
& ( p6(X1)
| ! [X0] :
( ~ p105(X0)
| ~ p6(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ ( p100(X1)
& ~ p101(X1) )
| ( ~ ! [X0] :
( ~ ( p101(X0)
& ~ p102(X0)
& p2(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p101(X0)
& ~ p102(X0)
& ~ p2(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p101(X1)
& ~ p102(X1) )
| ( ~ ! [X0] :
( ~ ( p102(X0)
& ~ p103(X0)
& p3(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p102(X0)
& ~ p103(X0)
& ~ p3(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p102(X1)
& ~ p103(X1) )
| ( ~ ! [X0] :
( ~ ( p103(X0)
& ~ p104(X0)
& p4(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p103(X0)
& ~ p104(X0)
& ~ p4(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p103(X1)
& ~ p104(X1) )
| ( ~ ! [X0] :
( ~ ( p104(X0)
& ~ p105(X0)
& p5(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p104(X0)
& ~ p105(X0)
& ~ p5(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p104(X1)
& ~ p105(X1) )
| ( ~ ! [X0] :
( ~ ( p105(X0)
& ~ p106(X0)
& p6(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p105(X0)
& ~ p106(X0)
& ~ p6(X0) )
| ~ r1(X1,X0) ) ) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f3,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ( ( ~ p101(X1)
| p100(X1) )
& ( ~ p102(X1)
| p101(X1) )
& ( ~ p103(X1)
| p102(X1) )
& ( ~ p104(X1)
| p103(X1) )
& ( ~ p105(X1)
| p104(X1) )
& ( ~ p106(X1)
| p105(X1) )
& ( ~ p100(X1)
| ( ( ~ p1(X1)
| ! [X0] :
( ~ p100(X0)
| p1(X0)
| ~ r1(X1,X0) ) )
& ( p1(X1)
| ! [X0] :
( ~ p100(X0)
| ~ p1(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p101(X1)
| ( ( ~ p2(X1)
| ! [X0] :
( ~ p101(X0)
| p2(X0)
| ~ r1(X1,X0) ) )
& ( p2(X1)
| ! [X0] :
( ~ p101(X0)
| ~ p2(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p102(X1)
| ( ( ~ p3(X1)
| ! [X0] :
( ~ p102(X0)
| p3(X0)
| ~ r1(X1,X0) ) )
& ( p3(X1)
| ! [X0] :
( ~ p102(X0)
| ~ p3(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p103(X1)
| ( ( ~ p4(X1)
| ! [X0] :
( ~ p103(X0)
| p4(X0)
| ~ r1(X1,X0) ) )
& ( p4(X1)
| ! [X0] :
( ~ p103(X0)
| ~ p4(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p104(X1)
| ( ( ~ p5(X1)
| ! [X0] :
( ~ p104(X0)
| p5(X0)
| ~ r1(X1,X0) ) )
& ( p5(X1)
| ! [X0] :
( ~ p104(X0)
| ~ p5(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p105(X1)
| ( ( ~ p6(X1)
| ! [X0] :
( ~ p105(X0)
| p6(X0)
| ~ r1(X1,X0) ) )
& ( p6(X1)
| ! [X0] :
( ~ p105(X0)
| ~ p6(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ ( p100(X1)
& ~ p101(X1) )
| ( ~ ! [X0] :
( ~ ( p101(X0)
& ~ p102(X0)
& p2(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p101(X0)
& ~ p102(X0)
& ~ p2(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p101(X1)
& ~ p102(X1) )
| ( ~ ! [X0] :
( ~ ( p102(X0)
& ~ p103(X0)
& p3(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p102(X0)
& ~ p103(X0)
& ~ p3(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p102(X1)
& ~ p103(X1) )
| ( ~ ! [X0] :
( ~ ( p103(X0)
& ~ p104(X0)
& p4(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p103(X0)
& ~ p104(X0)
& ~ p4(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p103(X1)
& ~ p104(X1) )
| ( ~ ! [X0] :
( ~ ( p104(X0)
& ~ p105(X0)
& p5(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p104(X0)
& ~ p105(X0)
& ~ p5(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p104(X1)
& ~ p105(X1) )
| ( ~ ! [X0] :
( ~ ( p105(X0)
& ~ p106(X0)
& p6(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p105(X0)
& ~ p106(X0)
& ~ p6(X0) )
| ~ r1(X1,X0) ) ) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ),
inference(negated_conjecture,[],[f2]) ).
fof(f4,plain,
~ ~ ? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ( ( ~ p101(X5)
| p100(X5) )
& ( ~ p102(X5)
| p101(X5) )
& ( ~ p103(X5)
| p102(X5) )
& ( ~ p104(X5)
| p103(X5) )
& ( ~ p105(X5)
| p104(X5) )
& ( ~ p106(X5)
| p105(X5) )
& ( ~ p100(X5)
| ( ( ~ p1(X5)
| ! [X6] :
( ~ p100(X6)
| p1(X6)
| ~ r1(X5,X6) ) )
& ( p1(X5)
| ! [X7] :
( ~ p100(X7)
| ~ p1(X7)
| ~ r1(X5,X7) ) ) ) )
& ( ~ p101(X5)
| ( ( ~ p2(X5)
| ! [X8] :
( ~ p101(X8)
| p2(X8)
| ~ r1(X5,X8) ) )
& ( p2(X5)
| ! [X9] :
( ~ p101(X9)
| ~ p2(X9)
| ~ r1(X5,X9) ) ) ) )
& ( ~ p102(X5)
| ( ( ~ p3(X5)
| ! [X10] :
( ~ p102(X10)
| p3(X10)
| ~ r1(X5,X10) ) )
& ( p3(X5)
| ! [X11] :
( ~ p102(X11)
| ~ p3(X11)
| ~ r1(X5,X11) ) ) ) )
& ( ~ p103(X5)
| ( ( ~ p4(X5)
| ! [X12] :
( ~ p103(X12)
| p4(X12)
| ~ r1(X5,X12) ) )
& ( p4(X5)
| ! [X13] :
( ~ p103(X13)
| ~ p4(X13)
| ~ r1(X5,X13) ) ) ) )
& ( ~ p104(X5)
| ( ( ~ p5(X5)
| ! [X14] :
( ~ p104(X14)
| p5(X14)
| ~ r1(X5,X14) ) )
& ( p5(X5)
| ! [X15] :
( ~ p104(X15)
| ~ p5(X15)
| ~ r1(X5,X15) ) ) ) )
& ( ~ p105(X5)
| ( ( ~ p6(X5)
| ! [X16] :
( ~ p105(X16)
| p6(X16)
| ~ r1(X5,X16) ) )
& ( p6(X5)
| ! [X17] :
( ~ p105(X17)
| ~ p6(X17)
| ~ r1(X5,X17) ) ) ) )
& ( ~ ( p100(X5)
& ~ p101(X5) )
| ( ~ ! [X18] :
( ~ ( p101(X18)
& ~ p102(X18)
& p2(X18) )
| ~ r1(X5,X18) )
& ~ ! [X19] :
( ~ ( p101(X19)
& ~ p102(X19)
& ~ p2(X19) )
| ~ r1(X5,X19) ) ) )
& ( ~ ( p101(X5)
& ~ p102(X5) )
| ( ~ ! [X20] :
( ~ ( p102(X20)
& ~ p103(X20)
& p3(X20) )
| ~ r1(X5,X20) )
& ~ ! [X21] :
( ~ ( p102(X21)
& ~ p103(X21)
& ~ p3(X21) )
| ~ r1(X5,X21) ) ) )
& ( ~ ( p102(X5)
& ~ p103(X5) )
| ( ~ ! [X22] :
( ~ ( p103(X22)
& ~ p104(X22)
& p4(X22) )
| ~ r1(X5,X22) )
& ~ ! [X23] :
( ~ ( p103(X23)
& ~ p104(X23)
& ~ p4(X23) )
| ~ r1(X5,X23) ) ) )
& ( ~ ( p103(X5)
& ~ p104(X5) )
| ( ~ ! [X24] :
( ~ ( p104(X24)
& ~ p105(X24)
& p5(X24) )
| ~ r1(X5,X24) )
& ~ ! [X25] :
( ~ ( p104(X25)
& ~ p105(X25)
& ~ p5(X25) )
| ~ r1(X5,X25) ) ) )
& ( ~ ( p104(X5)
& ~ p105(X5) )
| ( ~ ! [X26] :
( ~ ( p105(X26)
& ~ p106(X26)
& p6(X26) )
| ~ r1(X5,X26) )
& ~ ! [X27] :
( ~ ( p105(X27)
& ~ p106(X27)
& ~ p6(X27) )
| ~ r1(X5,X27) ) ) ) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) )
| ~ ! [X28] :
( ! [X29] :
( ! [X30] :
( ! [X31] :
( ! [X32] :
( p3(X32)
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| ~ r1(X0,X28) ) ),
inference(rectify,[],[f3]) ).
fof(f5,plain,
? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ( ( ~ p101(X5)
| p100(X5) )
& ( ~ p102(X5)
| p101(X5) )
& ( ~ p103(X5)
| p102(X5) )
& ( ~ p104(X5)
| p103(X5) )
& ( ~ p105(X5)
| p104(X5) )
& ( ~ p106(X5)
| p105(X5) )
& ( ~ p100(X5)
| ( ( ~ p1(X5)
| ! [X6] :
( ~ p100(X6)
| p1(X6)
| ~ r1(X5,X6) ) )
& ( p1(X5)
| ! [X7] :
( ~ p100(X7)
| ~ p1(X7)
| ~ r1(X5,X7) ) ) ) )
& ( ~ p101(X5)
| ( ( ~ p2(X5)
| ! [X8] :
( ~ p101(X8)
| p2(X8)
| ~ r1(X5,X8) ) )
& ( p2(X5)
| ! [X9] :
( ~ p101(X9)
| ~ p2(X9)
| ~ r1(X5,X9) ) ) ) )
& ( ~ p102(X5)
| ( ( ~ p3(X5)
| ! [X10] :
( ~ p102(X10)
| p3(X10)
| ~ r1(X5,X10) ) )
& ( p3(X5)
| ! [X11] :
( ~ p102(X11)
| ~ p3(X11)
| ~ r1(X5,X11) ) ) ) )
& ( ~ p103(X5)
| ( ( ~ p4(X5)
| ! [X12] :
( ~ p103(X12)
| p4(X12)
| ~ r1(X5,X12) ) )
& ( p4(X5)
| ! [X13] :
( ~ p103(X13)
| ~ p4(X13)
| ~ r1(X5,X13) ) ) ) )
& ( ~ p104(X5)
| ( ( ~ p5(X5)
| ! [X14] :
( ~ p104(X14)
| p5(X14)
| ~ r1(X5,X14) ) )
& ( p5(X5)
| ! [X15] :
( ~ p104(X15)
| ~ p5(X15)
| ~ r1(X5,X15) ) ) ) )
& ( ~ p105(X5)
| ( ( ~ p6(X5)
| ! [X16] :
( ~ p105(X16)
| p6(X16)
| ~ r1(X5,X16) ) )
& ( p6(X5)
| ! [X17] :
( ~ p105(X17)
| ~ p6(X17)
| ~ r1(X5,X17) ) ) ) )
& ( ~ ( p100(X5)
& ~ p101(X5) )
| ( ~ ! [X18] :
( ~ ( p101(X18)
& ~ p102(X18)
& p2(X18) )
| ~ r1(X5,X18) )
& ~ ! [X19] :
( ~ ( p101(X19)
& ~ p102(X19)
& ~ p2(X19) )
| ~ r1(X5,X19) ) ) )
& ( ~ ( p101(X5)
& ~ p102(X5) )
| ( ~ ! [X20] :
( ~ ( p102(X20)
& ~ p103(X20)
& p3(X20) )
| ~ r1(X5,X20) )
& ~ ! [X21] :
( ~ ( p102(X21)
& ~ p103(X21)
& ~ p3(X21) )
| ~ r1(X5,X21) ) ) )
& ( ~ ( p102(X5)
& ~ p103(X5) )
| ( ~ ! [X22] :
( ~ ( p103(X22)
& ~ p104(X22)
& p4(X22) )
| ~ r1(X5,X22) )
& ~ ! [X23] :
( ~ ( p103(X23)
& ~ p104(X23)
& ~ p4(X23) )
| ~ r1(X5,X23) ) ) )
& ( ~ ( p103(X5)
& ~ p104(X5) )
| ( ~ ! [X24] :
( ~ ( p104(X24)
& ~ p105(X24)
& p5(X24) )
| ~ r1(X5,X24) )
& ~ ! [X25] :
( ~ ( p104(X25)
& ~ p105(X25)
& ~ p5(X25) )
| ~ r1(X5,X25) ) ) )
& ( ~ ( p104(X5)
& ~ p105(X5) )
| ( ~ ! [X26] :
( ~ ( p105(X26)
& ~ p106(X26)
& p6(X26) )
| ~ r1(X5,X26) )
& ~ ! [X27] :
( ~ ( p105(X27)
& ~ p106(X27)
& ~ p6(X27) )
| ~ r1(X5,X27) ) ) ) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) )
| ~ ! [X28] :
( ! [X29] :
( ! [X30] :
( ! [X31] :
( ! [X32] :
( p3(X32)
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| ~ r1(X0,X28) ) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ( ( ~ p101(X5)
| p100(X5) )
& ( ~ p102(X5)
| p101(X5) )
& ( ~ p103(X5)
| p102(X5) )
& ( ~ p104(X5)
| p103(X5) )
& ( ~ p105(X5)
| p104(X5) )
& ( ~ p100(X5)
| ( ( ~ p1(X5)
| ! [X6] :
( ~ p100(X6)
| p1(X6)
| ~ r1(X5,X6) ) )
& ( p1(X5)
| ! [X7] :
( ~ p100(X7)
| ~ p1(X7)
| ~ r1(X5,X7) ) ) ) )
& ( ~ p101(X5)
| ( ( ~ p2(X5)
| ! [X8] :
( ~ p101(X8)
| p2(X8)
| ~ r1(X5,X8) ) )
& ( p2(X5)
| ! [X9] :
( ~ p101(X9)
| ~ p2(X9)
| ~ r1(X5,X9) ) ) ) )
& ( ~ p102(X5)
| ( ( ~ p3(X5)
| ! [X10] :
( ~ p102(X10)
| p3(X10)
| ~ r1(X5,X10) ) )
& ( p3(X5)
| ! [X11] :
( ~ p102(X11)
| ~ p3(X11)
| ~ r1(X5,X11) ) ) ) )
& ( ~ p103(X5)
| ( ( ~ p4(X5)
| ! [X12] :
( ~ p103(X12)
| p4(X12)
| ~ r1(X5,X12) ) )
& ( p4(X5)
| ! [X13] :
( ~ p103(X13)
| ~ p4(X13)
| ~ r1(X5,X13) ) ) ) )
& ( ~ p104(X5)
| ( ( ~ p5(X5)
| ! [X14] :
( ~ p104(X14)
| p5(X14)
| ~ r1(X5,X14) ) )
& ( p5(X5)
| ! [X15] :
( ~ p104(X15)
| ~ p5(X15)
| ~ r1(X5,X15) ) ) ) )
& ( ~ p105(X5)
| ( ( ~ p6(X5)
| ! [X16] :
( ~ p105(X16)
| p6(X16)
| ~ r1(X5,X16) ) )
& ( p6(X5)
| ! [X17] :
( ~ p105(X17)
| ~ p6(X17)
| ~ r1(X5,X17) ) ) ) )
& ( ~ ( p100(X5)
& ~ p101(X5) )
| ( ~ ! [X18] :
( ~ ( p101(X18)
& ~ p102(X18)
& p2(X18) )
| ~ r1(X5,X18) )
& ~ ! [X19] :
( ~ ( p101(X19)
& ~ p102(X19)
& ~ p2(X19) )
| ~ r1(X5,X19) ) ) )
& ( ~ ( p101(X5)
& ~ p102(X5) )
| ( ~ ! [X20] :
( ~ ( p102(X20)
& ~ p103(X20)
& p3(X20) )
| ~ r1(X5,X20) )
& ~ ! [X21] :
( ~ ( p102(X21)
& ~ p103(X21)
& ~ p3(X21) )
| ~ r1(X5,X21) ) ) )
& ( ~ ( p102(X5)
& ~ p103(X5) )
| ( ~ ! [X22] :
( ~ ( p103(X22)
& ~ p104(X22)
& p4(X22) )
| ~ r1(X5,X22) )
& ~ ! [X23] :
( ~ ( p103(X23)
& ~ p104(X23)
& ~ p4(X23) )
| ~ r1(X5,X23) ) ) )
& ( ~ ( p103(X5)
& ~ p104(X5) )
| ( ~ ! [X24] :
( ~ ( p104(X24)
& ~ p105(X24)
& p5(X24) )
| ~ r1(X5,X24) )
& ~ ! [X25] :
( ~ ( p104(X25)
& ~ p105(X25)
& ~ p5(X25) )
| ~ r1(X5,X25) ) ) )
& ( ~ ( p104(X5)
& ~ p105(X5) )
| ( ~ ! [X26] :
( ~ ( p105(X26)
& p6(X26) )
| ~ r1(X5,X26) )
& ~ ! [X27] :
( ~ ( p105(X27)
& ~ p6(X27) )
| ~ r1(X5,X27) ) ) ) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) )
| ~ ! [X28] :
( ! [X29] :
( ! [X30] :
( ! [X31] :
( ! [X32] :
( p3(X32)
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| ~ r1(X0,X28) ) ),
inference(pure_predicate_removal,[],[f5]) ).
fof(f7,plain,
? [X0] :
( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ( ( ~ p101(X5)
| p100(X5) )
& ( ~ p102(X5)
| p101(X5) )
& ( ~ p103(X5)
| p102(X5) )
& ( ~ p104(X5)
| p103(X5) )
& ( ~ p105(X5)
| p104(X5) )
& ( ~ p100(X5)
| ( ( ~ p1(X5)
| ! [X6] :
( ~ p100(X6)
| p1(X6)
| ~ r1(X5,X6) ) )
& ( p1(X5)
| ! [X7] :
( ~ p100(X7)
| ~ p1(X7)
| ~ r1(X5,X7) ) ) ) )
& ( ~ p101(X5)
| ( ( ~ p2(X5)
| ! [X8] :
( ~ p101(X8)
| p2(X8)
| ~ r1(X5,X8) ) )
& ( p2(X5)
| ! [X9] :
( ~ p101(X9)
| ~ p2(X9)
| ~ r1(X5,X9) ) ) ) )
& ( ~ p102(X5)
| ( ( ~ p3(X5)
| ! [X10] :
( ~ p102(X10)
| p3(X10)
| ~ r1(X5,X10) ) )
& ( p3(X5)
| ! [X11] :
( ~ p102(X11)
| ~ p3(X11)
| ~ r1(X5,X11) ) ) ) )
& ( ~ p103(X5)
| ( ( ~ p4(X5)
| ! [X12] :
( ~ p103(X12)
| p4(X12)
| ~ r1(X5,X12) ) )
& ( p4(X5)
| ! [X13] :
( ~ p103(X13)
| ~ p4(X13)
| ~ r1(X5,X13) ) ) ) )
& ( ~ p104(X5)
| ( ( ~ p5(X5)
| ! [X14] :
( ~ p104(X14)
| p5(X14)
| ~ r1(X5,X14) ) )
& ( p5(X5)
| ! [X15] :
( ~ p104(X15)
| ~ p5(X15)
| ~ r1(X5,X15) ) ) ) )
& ( ~ p105(X5)
| ( ( ~ p6(X5)
| ! [X16] :
( ~ p105(X16)
| p6(X16)
| ~ r1(X5,X16) ) )
& ( p6(X5)
| ! [X17] :
( ~ p105(X17)
| ~ p6(X17)
| ~ r1(X5,X17) ) ) ) )
& ( ~ p100(X5)
| p101(X5)
| ( ? [X18] :
( p101(X18)
& ~ p102(X18)
& p2(X18)
& r1(X5,X18) )
& ? [X19] :
( p101(X19)
& ~ p102(X19)
& ~ p2(X19)
& r1(X5,X19) ) ) )
& ( ~ p101(X5)
| p102(X5)
| ( ? [X20] :
( p102(X20)
& ~ p103(X20)
& p3(X20)
& r1(X5,X20) )
& ? [X21] :
( p102(X21)
& ~ p103(X21)
& ~ p3(X21)
& r1(X5,X21) ) ) )
& ( ~ p102(X5)
| p103(X5)
| ( ? [X22] :
( p103(X22)
& ~ p104(X22)
& p4(X22)
& r1(X5,X22) )
& ? [X23] :
( p103(X23)
& ~ p104(X23)
& ~ p4(X23)
& r1(X5,X23) ) ) )
& ( ~ p103(X5)
| p104(X5)
| ( ? [X24] :
( p104(X24)
& ~ p105(X24)
& p5(X24)
& r1(X5,X24) )
& ? [X25] :
( p104(X25)
& ~ p105(X25)
& ~ p5(X25)
& r1(X5,X25) ) ) )
& ( ~ p104(X5)
| p105(X5)
| ( ? [X26] :
( p105(X26)
& p6(X26)
& r1(X5,X26) )
& ? [X27] :
( p105(X27)
& ~ p6(X27)
& r1(X5,X27) ) ) ) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
& ! [X28] :
( ! [X29] :
( ! [X30] :
( ! [X31] :
( ! [X32] :
( p3(X32)
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| ~ r1(X0,X28) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f8,plain,
? [X0] :
( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ( ( ~ p101(X5)
| p100(X5) )
& ( ~ p102(X5)
| p101(X5) )
& ( ~ p103(X5)
| p102(X5) )
& ( ~ p104(X5)
| p103(X5) )
& ( ~ p105(X5)
| p104(X5) )
& ( ~ p100(X5)
| ( ( ~ p1(X5)
| ! [X6] :
( ~ p100(X6)
| p1(X6)
| ~ r1(X5,X6) ) )
& ( p1(X5)
| ! [X7] :
( ~ p100(X7)
| ~ p1(X7)
| ~ r1(X5,X7) ) ) ) )
& ( ~ p101(X5)
| ( ( ~ p2(X5)
| ! [X8] :
( ~ p101(X8)
| p2(X8)
| ~ r1(X5,X8) ) )
& ( p2(X5)
| ! [X9] :
( ~ p101(X9)
| ~ p2(X9)
| ~ r1(X5,X9) ) ) ) )
& ( ~ p102(X5)
| ( ( ~ p3(X5)
| ! [X10] :
( ~ p102(X10)
| p3(X10)
| ~ r1(X5,X10) ) )
& ( p3(X5)
| ! [X11] :
( ~ p102(X11)
| ~ p3(X11)
| ~ r1(X5,X11) ) ) ) )
& ( ~ p103(X5)
| ( ( ~ p4(X5)
| ! [X12] :
( ~ p103(X12)
| p4(X12)
| ~ r1(X5,X12) ) )
& ( p4(X5)
| ! [X13] :
( ~ p103(X13)
| ~ p4(X13)
| ~ r1(X5,X13) ) ) ) )
& ( ~ p104(X5)
| ( ( ~ p5(X5)
| ! [X14] :
( ~ p104(X14)
| p5(X14)
| ~ r1(X5,X14) ) )
& ( p5(X5)
| ! [X15] :
( ~ p104(X15)
| ~ p5(X15)
| ~ r1(X5,X15) ) ) ) )
& ( ~ p105(X5)
| ( ( ~ p6(X5)
| ! [X16] :
( ~ p105(X16)
| p6(X16)
| ~ r1(X5,X16) ) )
& ( p6(X5)
| ! [X17] :
( ~ p105(X17)
| ~ p6(X17)
| ~ r1(X5,X17) ) ) ) )
& ( ~ p100(X5)
| p101(X5)
| ( ? [X18] :
( p101(X18)
& ~ p102(X18)
& p2(X18)
& r1(X5,X18) )
& ? [X19] :
( p101(X19)
& ~ p102(X19)
& ~ p2(X19)
& r1(X5,X19) ) ) )
& ( ~ p101(X5)
| p102(X5)
| ( ? [X20] :
( p102(X20)
& ~ p103(X20)
& p3(X20)
& r1(X5,X20) )
& ? [X21] :
( p102(X21)
& ~ p103(X21)
& ~ p3(X21)
& r1(X5,X21) ) ) )
& ( ~ p102(X5)
| p103(X5)
| ( ? [X22] :
( p103(X22)
& ~ p104(X22)
& p4(X22)
& r1(X5,X22) )
& ? [X23] :
( p103(X23)
& ~ p104(X23)
& ~ p4(X23)
& r1(X5,X23) ) ) )
& ( ~ p103(X5)
| p104(X5)
| ( ? [X24] :
( p104(X24)
& ~ p105(X24)
& p5(X24)
& r1(X5,X24) )
& ? [X25] :
( p104(X25)
& ~ p105(X25)
& ~ p5(X25)
& r1(X5,X25) ) ) )
& ( ~ p104(X5)
| p105(X5)
| ( ? [X26] :
( p105(X26)
& p6(X26)
& r1(X5,X26) )
& ? [X27] :
( p105(X27)
& ~ p6(X27)
& r1(X5,X27) ) ) ) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
& ! [X28] :
( ! [X29] :
( ! [X30] :
( ! [X31] :
( ! [X32] :
( p3(X32)
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| ~ r1(X0,X28) ) ),
inference(flattening,[],[f7]) ).
fof(f9,plain,
! [X5] :
( ~ p103(X5)
| p104(X5)
| ( ? [X24] :
( p104(X24)
& ~ p105(X24)
& p5(X24)
& r1(X5,X24) )
& ? [X25] :
( p104(X25)
& ~ p105(X25)
& ~ p5(X25)
& r1(X5,X25) ) )
| ~ sP0(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f10,plain,
! [X5] :
( ~ p102(X5)
| p103(X5)
| ( ? [X22] :
( p103(X22)
& ~ p104(X22)
& p4(X22)
& r1(X5,X22) )
& ? [X23] :
( p103(X23)
& ~ p104(X23)
& ~ p4(X23)
& r1(X5,X23) ) )
| ~ sP1(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f11,plain,
! [X5] :
( ~ p101(X5)
| p102(X5)
| ( ? [X20] :
( p102(X20)
& ~ p103(X20)
& p3(X20)
& r1(X5,X20) )
& ? [X21] :
( p102(X21)
& ~ p103(X21)
& ~ p3(X21)
& r1(X5,X21) ) )
| ~ sP2(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f12,plain,
! [X5] :
( ~ p100(X5)
| p101(X5)
| ( ? [X18] :
( p101(X18)
& ~ p102(X18)
& p2(X18)
& r1(X5,X18) )
& ? [X19] :
( p101(X19)
& ~ p102(X19)
& ~ p2(X19)
& r1(X5,X19) ) )
| ~ sP3(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f13,plain,
! [X5] :
( ~ p104(X5)
| p105(X5)
| ( ? [X26] :
( p105(X26)
& p6(X26)
& r1(X5,X26) )
& ? [X27] :
( p105(X27)
& ~ p6(X27)
& r1(X5,X27) ) )
| ~ sP4(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f14,plain,
! [X5] :
( ~ p105(X5)
| ( ( ~ p6(X5)
| ! [X16] :
( ~ p105(X16)
| p6(X16)
| ~ r1(X5,X16) ) )
& ( p6(X5)
| ! [X17] :
( ~ p105(X17)
| ~ p6(X17)
| ~ r1(X5,X17) ) ) )
| ~ sP5(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f15,plain,
! [X5] :
( ~ p104(X5)
| ( ( ~ p5(X5)
| ! [X14] :
( ~ p104(X14)
| p5(X14)
| ~ r1(X5,X14) ) )
& ( p5(X5)
| ! [X15] :
( ~ p104(X15)
| ~ p5(X15)
| ~ r1(X5,X15) ) ) )
| ~ sP6(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f16,plain,
! [X5] :
( ~ p103(X5)
| ( ( ~ p4(X5)
| ! [X12] :
( ~ p103(X12)
| p4(X12)
| ~ r1(X5,X12) ) )
& ( p4(X5)
| ! [X13] :
( ~ p103(X13)
| ~ p4(X13)
| ~ r1(X5,X13) ) ) )
| ~ sP7(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f17,plain,
! [X5] :
( ~ p102(X5)
| ( ( ~ p3(X5)
| ! [X10] :
( ~ p102(X10)
| p3(X10)
| ~ r1(X5,X10) ) )
& ( p3(X5)
| ! [X11] :
( ~ p102(X11)
| ~ p3(X11)
| ~ r1(X5,X11) ) ) )
| ~ sP8(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f18,plain,
! [X5] :
( ~ p101(X5)
| ( ( ~ p2(X5)
| ! [X8] :
( ~ p101(X8)
| p2(X8)
| ~ r1(X5,X8) ) )
& ( p2(X5)
| ! [X9] :
( ~ p101(X9)
| ~ p2(X9)
| ~ r1(X5,X9) ) ) )
| ~ sP9(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f19,plain,
! [X5] :
( ~ p100(X5)
| ( ( ~ p1(X5)
| ! [X6] :
( ~ p100(X6)
| p1(X6)
| ~ r1(X5,X6) ) )
& ( p1(X5)
| ! [X7] :
( ~ p100(X7)
| ~ p1(X7)
| ~ r1(X5,X7) ) ) )
| ~ sP10(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f20,plain,
! [X5] :
( ( ( ~ p101(X5)
| p100(X5) )
& ( ~ p102(X5)
| p101(X5) )
& ( ~ p103(X5)
| p102(X5) )
& ( ~ p104(X5)
| p103(X5) )
& ( ~ p105(X5)
| p104(X5) )
& sP10(X5)
& sP9(X5)
& sP8(X5)
& sP7(X5)
& sP6(X5)
& sP5(X5)
& sP3(X5)
& sP2(X5)
& sP1(X5)
& sP0(X5)
& sP4(X5) )
| ~ sP11(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f21,plain,
? [X0] :
( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( sP11(X5)
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
& ! [X28] :
( ! [X29] :
( ! [X30] :
( ! [X31] :
( ! [X32] :
( p3(X32)
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| ~ r1(X0,X28) ) ),
inference(definition_folding,[],[f8,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9]) ).
fof(f22,plain,
! [X5] :
( ( ( ~ p101(X5)
| p100(X5) )
& ( ~ p102(X5)
| p101(X5) )
& ( ~ p103(X5)
| p102(X5) )
& ( ~ p104(X5)
| p103(X5) )
& ( ~ p105(X5)
| p104(X5) )
& sP10(X5)
& sP9(X5)
& sP8(X5)
& sP7(X5)
& sP6(X5)
& sP5(X5)
& sP3(X5)
& sP2(X5)
& sP1(X5)
& sP0(X5)
& sP4(X5) )
| ~ sP11(X5) ),
inference(nnf_transformation,[],[f20]) ).
fof(f23,plain,
! [X0] :
( ( ( ~ p101(X0)
| p100(X0) )
& ( ~ p102(X0)
| p101(X0) )
& ( ~ p103(X0)
| p102(X0) )
& ( ~ p104(X0)
| p103(X0) )
& ( ~ p105(X0)
| p104(X0) )
& sP10(X0)
& sP9(X0)
& sP8(X0)
& sP7(X0)
& sP6(X0)
& sP5(X0)
& sP3(X0)
& sP2(X0)
& sP1(X0)
& sP0(X0)
& sP4(X0) )
| ~ sP11(X0) ),
inference(rectify,[],[f22]) ).
fof(f41,plain,
! [X5] :
( ~ p100(X5)
| p101(X5)
| ( ? [X18] :
( p101(X18)
& ~ p102(X18)
& p2(X18)
& r1(X5,X18) )
& ? [X19] :
( p101(X19)
& ~ p102(X19)
& ~ p2(X19)
& r1(X5,X19) ) )
| ~ sP3(X5) ),
inference(nnf_transformation,[],[f12]) ).
fof(f42,plain,
! [X0] :
( ~ p100(X0)
| p101(X0)
| ( ? [X1] :
( p101(X1)
& ~ p102(X1)
& p2(X1)
& r1(X0,X1) )
& ? [X2] :
( p101(X2)
& ~ p102(X2)
& ~ p2(X2)
& r1(X0,X2) ) )
| ~ sP3(X0) ),
inference(rectify,[],[f41]) ).
fof(f43,plain,
! [X0] :
( ? [X1] :
( p101(X1)
& ~ p102(X1)
& p2(X1)
& r1(X0,X1) )
=> ( p101(sK14(X0))
& ~ p102(sK14(X0))
& p2(sK14(X0))
& r1(X0,sK14(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
! [X0] :
( ? [X2] :
( p101(X2)
& ~ p102(X2)
& ~ p2(X2)
& r1(X0,X2) )
=> ( p101(sK15(X0))
& ~ p102(sK15(X0))
& ~ p2(sK15(X0))
& r1(X0,sK15(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
! [X0] :
( ~ p100(X0)
| p101(X0)
| ( p101(sK14(X0))
& ~ p102(sK14(X0))
& p2(sK14(X0))
& r1(X0,sK14(X0))
& p101(sK15(X0))
& ~ p102(sK15(X0))
& ~ p2(sK15(X0))
& r1(X0,sK15(X0)) )
| ~ sP3(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15])],[f42,f44,f43]) ).
fof(f46,plain,
! [X5] :
( ~ p101(X5)
| p102(X5)
| ( ? [X20] :
( p102(X20)
& ~ p103(X20)
& p3(X20)
& r1(X5,X20) )
& ? [X21] :
( p102(X21)
& ~ p103(X21)
& ~ p3(X21)
& r1(X5,X21) ) )
| ~ sP2(X5) ),
inference(nnf_transformation,[],[f11]) ).
fof(f47,plain,
! [X0] :
( ~ p101(X0)
| p102(X0)
| ( ? [X1] :
( p102(X1)
& ~ p103(X1)
& p3(X1)
& r1(X0,X1) )
& ? [X2] :
( p102(X2)
& ~ p103(X2)
& ~ p3(X2)
& r1(X0,X2) ) )
| ~ sP2(X0) ),
inference(rectify,[],[f46]) ).
fof(f48,plain,
! [X0] :
( ? [X1] :
( p102(X1)
& ~ p103(X1)
& p3(X1)
& r1(X0,X1) )
=> ( p102(sK16(X0))
& ~ p103(sK16(X0))
& p3(sK16(X0))
& r1(X0,sK16(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
! [X0] :
( ? [X2] :
( p102(X2)
& ~ p103(X2)
& ~ p3(X2)
& r1(X0,X2) )
=> ( p102(sK17(X0))
& ~ p103(sK17(X0))
& ~ p3(sK17(X0))
& r1(X0,sK17(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
! [X0] :
( ~ p101(X0)
| p102(X0)
| ( p102(sK16(X0))
& ~ p103(sK16(X0))
& p3(sK16(X0))
& r1(X0,sK16(X0))
& p102(sK17(X0))
& ~ p103(sK17(X0))
& ~ p3(sK17(X0))
& r1(X0,sK17(X0)) )
| ~ sP2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17])],[f47,f49,f48]) ).
fof(f61,plain,
? [X0] :
( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( sP11(X5)
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
& ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( p3(X10)
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X0,X6) ) ),
inference(rectify,[],[f21]) ).
fof(f62,plain,
( ? [X0] :
( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( sP11(X5)
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
& ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( p3(X10)
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X0,X6) ) )
=> ( p100(sK22)
& ~ p101(sK22)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( sP11(X5)
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(sK22,X1) )
& ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( p3(X10)
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(sK22,X6) ) ) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
( p100(sK22)
& ~ p101(sK22)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( sP11(X5)
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(sK22,X1) )
& ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( p3(X10)
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(sK22,X6) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f61,f62]) ).
fof(f64,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f68,plain,
! [X0] :
( sP2(X0)
| ~ sP11(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f69,plain,
! [X0] :
( sP3(X0)
| ~ sP11(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f99,plain,
! [X0] :
( ~ p100(X0)
| p101(X0)
| r1(X0,sK15(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f101,plain,
! [X0] :
( ~ p100(X0)
| p101(X0)
| ~ p102(sK15(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f102,plain,
! [X0] :
( ~ p100(X0)
| p101(X0)
| p101(sK15(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f107,plain,
! [X0] :
( ~ p101(X0)
| p102(X0)
| r1(X0,sK17(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f108,plain,
! [X0] :
( ~ p101(X0)
| p102(X0)
| ~ p3(sK17(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f131,plain,
! [X10,X8,X6,X9,X7] :
( p3(X10)
| ~ r1(X9,X10)
| ~ r1(X8,X9)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| ~ r1(sK22,X6) ),
inference(cnf_transformation,[],[f63]) ).
fof(f132,plain,
! [X2,X3,X1,X4,X5] :
( sP11(X5)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(sK22,X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f133,plain,
~ p101(sK22),
inference(cnf_transformation,[],[f63]) ).
fof(f134,plain,
p100(sK22),
inference(cnf_transformation,[],[f63]) ).
cnf(c_49,plain,
r1(X0,X0),
inference(cnf_transformation,[],[f64]) ).
cnf(c_61,plain,
( ~ sP11(X0)
| sP3(X0) ),
inference(cnf_transformation,[],[f69]) ).
cnf(c_62,plain,
( ~ sP11(X0)
| sP2(X0) ),
inference(cnf_transformation,[],[f68]) ).
cnf(c_88,plain,
( ~ p100(X0)
| ~ sP3(X0)
| p101(sK15(X0))
| p101(X0) ),
inference(cnf_transformation,[],[f102]) ).
cnf(c_89,plain,
( ~ p102(sK15(X0))
| ~ p100(X0)
| ~ sP3(X0)
| p101(X0) ),
inference(cnf_transformation,[],[f101]) ).
cnf(c_91,plain,
( ~ p100(X0)
| ~ sP3(X0)
| r1(X0,sK15(X0))
| p101(X0) ),
inference(cnf_transformation,[],[f99]) ).
cnf(c_98,plain,
( ~ p3(sK17(X0))
| ~ p101(X0)
| ~ sP2(X0)
| p102(X0) ),
inference(cnf_transformation,[],[f108]) ).
cnf(c_99,plain,
( ~ p101(X0)
| ~ sP2(X0)
| r1(X0,sK17(X0))
| p102(X0) ),
inference(cnf_transformation,[],[f107]) ).
cnf(c_116,negated_conjecture,
p100(sK22),
inference(cnf_transformation,[],[f134]) ).
cnf(c_117,negated_conjecture,
~ p101(sK22),
inference(cnf_transformation,[],[f133]) ).
cnf(c_118,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(sK22,X0)
| sP11(X4) ),
inference(cnf_transformation,[],[f132]) ).
cnf(c_119,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(sK22,X4)
| p3(X1) ),
inference(cnf_transformation,[],[f131]) ).
cnf(c_120,plain,
r1(sK22,sK22),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_125,plain,
( ~ sP11(sK22)
| sP3(sK22) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_142,plain,
( ~ p100(sK22)
| ~ sP3(sK22)
| p101(sK15(sK22))
| p101(sK22) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_158,plain,
( ~ p100(sK22)
| ~ sP3(sK22)
| r1(sK22,sK15(sK22))
| p101(sK22) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_160,plain,
( ~ p102(sK15(sK22))
| ~ p100(sK22)
| ~ sP3(sK22)
| p101(sK22) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_167,plain,
( ~ r1(sK22,sK22)
| sP11(sK22) ),
inference(instantiation,[status(thm)],[c_118]) ).
cnf(c_1222,plain,
( ~ p101(X0)
| ~ sP11(X0)
| r1(X0,sK17(X0))
| p102(X0) ),
inference(resolution,[status(thm)],[c_62,c_99]) ).
cnf(c_1235,plain,
( ~ p3(sK17(X0))
| ~ p101(X0)
| ~ sP11(X0)
| p102(X0) ),
inference(resolution,[status(thm)],[c_62,c_98]) ).
cnf(c_5118,plain,
( ~ p3(sK17(sK15(sK22)))
| ~ p101(sK15(sK22))
| ~ sP11(sK15(sK22))
| p102(sK15(sK22)) ),
inference(instantiation,[status(thm)],[c_1235]) ).
cnf(c_5130,plain,
( ~ p101(sK15(sK22))
| ~ sP11(sK15(sK22))
| r1(sK15(sK22),sK17(sK15(sK22)))
| p102(sK15(sK22)) ),
inference(instantiation,[status(thm)],[c_1222]) ).
cnf(c_5138,plain,
( ~ r1(X0,sK15(sK22))
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X0)
| ~ r1(sK22,X1)
| sP11(sK15(sK22)) ),
inference(instantiation,[status(thm)],[c_118]) ).
cnf(c_5139,plain,
( ~ r1(sK22,sK15(sK22))
| ~ r1(sK22,sK22)
| sP11(sK15(sK22)) ),
inference(instantiation,[status(thm)],[c_5138]) ).
cnf(c_5161,plain,
( ~ r1(X0,sK17(sK15(sK22)))
| ~ r1(X1,X0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(sK22,X3)
| p3(sK17(sK15(sK22))) ),
inference(instantiation,[status(thm)],[c_119]) ).
cnf(c_5212,plain,
( ~ r1(sK15(sK22),sK17(sK15(sK22)))
| ~ r1(X0,sK15(sK22))
| ~ r1(X1,X0)
| ~ r1(X2,X1)
| ~ r1(sK22,X2)
| p3(sK17(sK15(sK22))) ),
inference(instantiation,[status(thm)],[c_5161]) ).
cnf(c_5213,plain,
( ~ r1(sK15(sK22),sK17(sK15(sK22)))
| ~ r1(sK22,sK15(sK22))
| ~ r1(sK22,sK22)
| p3(sK17(sK15(sK22))) ),
inference(instantiation,[status(thm)],[c_5212]) ).
cnf(c_5214,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_5213,c_5139,c_5130,c_5118,c_167,c_160,c_158,c_142,c_125,c_120,c_117,c_116]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL656+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n003.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 : Fri Aug 25 06:40:08 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.33/1.14 % SZS status Started for theBenchmark.p
% 2.33/1.14 % SZS status Theorem for theBenchmark.p
% 2.33/1.14
% 2.33/1.14 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.33/1.14
% 2.33/1.14 ------ iProver source info
% 2.33/1.14
% 2.33/1.14 git: date: 2023-05-31 18:12:56 +0000
% 2.33/1.14 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.33/1.14 git: non_committed_changes: false
% 2.33/1.14 git: last_make_outside_of_git: false
% 2.33/1.14
% 2.33/1.14 ------ Parsing...
% 2.33/1.14 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.33/1.14
% 2.33/1.14 ------ Preprocessing... sf_s rm: 3 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 2.33/1.14
% 2.33/1.14 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.33/1.14 ------ Proving...
% 2.33/1.14 ------ Problem Properties
% 2.33/1.14
% 2.33/1.14
% 2.33/1.14 clauses 56
% 2.33/1.14 conjectures 3
% 2.33/1.14 EPR 18
% 2.33/1.14 Horn 36
% 2.33/1.14 unary 10
% 2.33/1.14 binary 0
% 2.33/1.14 lits 214
% 2.33/1.14 lits eq 0
% 2.33/1.14 fd_pure 0
% 2.33/1.14 fd_pseudo 0
% 2.33/1.14 fd_cond 0
% 2.33/1.14 fd_pseudo_cond 0
% 2.33/1.14 AC symbols 0
% 2.33/1.14
% 2.33/1.14 ------ Schedule dynamic 5 is on
% 2.33/1.14
% 2.33/1.14 ------ no equalities: superposition off
% 2.33/1.14
% 2.33/1.14 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.33/1.14
% 2.33/1.14
% 2.33/1.14 ------
% 2.33/1.14 Current options:
% 2.33/1.14 ------
% 2.33/1.14
% 2.33/1.14
% 2.33/1.14
% 2.33/1.14
% 2.33/1.14 ------ Proving...
% 2.33/1.14
% 2.33/1.14
% 2.33/1.14 % SZS status Theorem for theBenchmark.p
% 2.33/1.14
% 2.33/1.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.33/1.14
% 2.33/1.14
%------------------------------------------------------------------------------