TSTP Solution File: LCL636+1.001 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : LCL636+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n005.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 02:38:16 EDT 2024
% Result : Theorem 0.73s 1.13s
% Output : CNFRefutation 0.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 5
% Syntax : Number of formulae : 30 ( 7 unt; 0 def)
% Number of atoms : 787 ( 0 equ)
% Maximal formula atoms : 108 ( 26 avg)
% Number of connectives : 1333 ( 576 ~; 469 |; 285 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 11 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 178 ( 0 sgn 144 !; 30 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ( ~ p101(X0)
| p100(X0) )
& ( ~ p102(X0)
| p101(X0) )
& ( ~ p100(X0)
| ( ( ~ p1(X0)
| ! [X1] :
( ~ p100(X1)
| p1(X1)
| ~ r1(X0,X1) ) )
& ( p1(X0)
| ! [X1] :
( ~ p100(X1)
| ~ p1(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p101(X0)
| ( ( ~ p2(X0)
| ! [X1] :
( ~ p101(X1)
| p2(X1)
| ~ r1(X0,X1) ) )
& ( p2(X0)
| ! [X1] :
( ~ p101(X1)
| ~ p2(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ ( p100(X0)
& ~ p101(X0) )
| ( ~ ! [X1] :
( ~ ( p101(X1)
& ~ p102(X1)
& p2(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p101(X1)
& ~ p102(X1)
& ~ p2(X1) )
| ~ r1(X0,X1) ) ) )
& ! [X1] :
( ( ( ~ p101(X1)
| p100(X1) )
& ( ~ p102(X1)
| p101(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) ) ) ) )
& ( ~ ( p100(X1)
& ~ p101(X1) )
| ( ~ ! [X0] :
( ~ ( p101(X0)
& ~ p102(X0)
& p2(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p101(X0)
& ~ p102(X0)
& ~ p2(X0) )
| ~ r1(X1,X0) ) ) ) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ( ~ p101(X0)
| p100(X0) )
& ( ~ p102(X0)
| p101(X0) )
& ( ~ p100(X0)
| ( ( ~ p1(X0)
| ! [X1] :
( ~ p100(X1)
| p1(X1)
| ~ r1(X0,X1) ) )
& ( p1(X0)
| ! [X1] :
( ~ p100(X1)
| ~ p1(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p101(X0)
| ( ( ~ p2(X0)
| ! [X1] :
( ~ p101(X1)
| p2(X1)
| ~ r1(X0,X1) ) )
& ( p2(X0)
| ! [X1] :
( ~ p101(X1)
| ~ p2(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ ( p100(X0)
& ~ p101(X0) )
| ( ~ ! [X1] :
( ~ ( p101(X1)
& ~ p102(X1)
& p2(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p101(X1)
& ~ p102(X1)
& ~ p2(X1) )
| ~ r1(X0,X1) ) ) )
& ! [X1] :
( ( ( ~ p101(X1)
| p100(X1) )
& ( ~ p102(X1)
| p101(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) ) ) ) )
& ( ~ ( p100(X1)
& ~ p101(X1) )
| ( ~ ! [X0] :
( ~ ( p101(X0)
& ~ p102(X0)
& p2(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p101(X0)
& ~ p102(X0)
& ~ p2(X0) )
| ~ r1(X1,X0) ) ) ) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f3,plain,
~ ~ ? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ( ~ p101(X0)
| p100(X0) )
& ( ~ p102(X0)
| p101(X0) )
& ( ~ p100(X0)
| ( ( ~ p1(X0)
| ! [X1] :
( ~ p100(X1)
| p1(X1)
| ~ r1(X0,X1) ) )
& ( p1(X0)
| ! [X2] :
( ~ p100(X2)
| ~ p1(X2)
| ~ r1(X0,X2) ) ) ) )
& ( ~ p101(X0)
| ( ( ~ p2(X0)
| ! [X3] :
( ~ p101(X3)
| p2(X3)
| ~ r1(X0,X3) ) )
& ( p2(X0)
| ! [X4] :
( ~ p101(X4)
| ~ p2(X4)
| ~ r1(X0,X4) ) ) ) )
& ( ~ ( p100(X0)
& ~ p101(X0) )
| ( ~ ! [X5] :
( ~ ( p101(X5)
& ~ p102(X5)
& p2(X5) )
| ~ r1(X0,X5) )
& ~ ! [X6] :
( ~ ( p101(X6)
& ~ p102(X6)
& ~ p2(X6) )
| ~ r1(X0,X6) ) ) )
& ! [X7] :
( ( ( ~ p101(X7)
| p100(X7) )
& ( ~ p102(X7)
| p101(X7) )
& ( ~ p100(X7)
| ( ( ~ p1(X7)
| ! [X8] :
( ~ p100(X8)
| p1(X8)
| ~ r1(X7,X8) ) )
& ( p1(X7)
| ! [X9] :
( ~ p100(X9)
| ~ p1(X9)
| ~ r1(X7,X9) ) ) ) )
& ( ~ p101(X7)
| ( ( ~ p2(X7)
| ! [X10] :
( ~ p101(X10)
| p2(X10)
| ~ r1(X7,X10) ) )
& ( p2(X7)
| ! [X11] :
( ~ p101(X11)
| ~ p2(X11)
| ~ r1(X7,X11) ) ) ) )
& ( ~ ( p100(X7)
& ~ p101(X7) )
| ( ~ ! [X12] :
( ~ ( p101(X12)
& ~ p102(X12)
& p2(X12) )
| ~ r1(X7,X12) )
& ~ ! [X13] :
( ~ ( p101(X13)
& ~ p102(X13)
& ~ p2(X13) )
| ~ r1(X7,X13) ) ) ) )
| ~ r1(X0,X7) ) )
| ~ ! [X14] :
( p2(X14)
| ~ r1(X0,X14) ) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ( ~ p101(X0)
| p100(X0) )
& ( ~ p102(X0)
| p101(X0) )
& ( ~ p100(X0)
| ( ( ~ p1(X0)
| ! [X1] :
( ~ p100(X1)
| p1(X1)
| ~ r1(X0,X1) ) )
& ( p1(X0)
| ! [X2] :
( ~ p100(X2)
| ~ p1(X2)
| ~ r1(X0,X2) ) ) ) )
& ( ~ p101(X0)
| ( ( ~ p2(X0)
| ! [X3] :
( ~ p101(X3)
| p2(X3)
| ~ r1(X0,X3) ) )
& ( p2(X0)
| ! [X4] :
( ~ p101(X4)
| ~ p2(X4)
| ~ r1(X0,X4) ) ) ) )
& ( ~ ( p100(X0)
& ~ p101(X0) )
| ( ~ ! [X5] :
( ~ ( p101(X5)
& ~ p102(X5)
& p2(X5) )
| ~ r1(X0,X5) )
& ~ ! [X6] :
( ~ ( p101(X6)
& ~ p102(X6)
& ~ p2(X6) )
| ~ r1(X0,X6) ) ) )
& ! [X7] :
( ( ( ~ p101(X7)
| p100(X7) )
& ( ~ p102(X7)
| p101(X7) )
& ( ~ p100(X7)
| ( ( ~ p1(X7)
| ! [X8] :
( ~ p100(X8)
| p1(X8)
| ~ r1(X7,X8) ) )
& ( p1(X7)
| ! [X9] :
( ~ p100(X9)
| ~ p1(X9)
| ~ r1(X7,X9) ) ) ) )
& ( ~ p101(X7)
| ( ( ~ p2(X7)
| ! [X10] :
( ~ p101(X10)
| p2(X10)
| ~ r1(X7,X10) ) )
& ( p2(X7)
| ! [X11] :
( ~ p101(X11)
| ~ p2(X11)
| ~ r1(X7,X11) ) ) ) )
& ( ~ ( p100(X7)
& ~ p101(X7) )
| ( ~ ! [X12] :
( ~ ( p101(X12)
& ~ p102(X12)
& p2(X12) )
| ~ r1(X7,X12) )
& ~ ! [X13] :
( ~ ( p101(X13)
& ~ p102(X13)
& ~ p2(X13) )
| ~ r1(X7,X13) ) ) ) )
| ~ r1(X0,X7) ) )
| ~ ! [X14] :
( p2(X14)
| ~ r1(X0,X14) ) ),
inference(flattening,[],[f3]) ).
fof(f5,plain,
? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ( ~ p101(X0)
| p100(X0) )
& ( ~ p100(X0)
| ( ( ~ p1(X0)
| ! [X1] :
( ~ p100(X1)
| p1(X1)
| ~ r1(X0,X1) ) )
& ( p1(X0)
| ! [X2] :
( ~ p100(X2)
| ~ p1(X2)
| ~ r1(X0,X2) ) ) ) )
& ( ~ p101(X0)
| ( ( ~ p2(X0)
| ! [X3] :
( ~ p101(X3)
| p2(X3)
| ~ r1(X0,X3) ) )
& ( p2(X0)
| ! [X4] :
( ~ p101(X4)
| ~ p2(X4)
| ~ r1(X0,X4) ) ) ) )
& ( ~ ( p100(X0)
& ~ p101(X0) )
| ( ~ ! [X5] :
( ~ ( p101(X5)
& p2(X5) )
| ~ r1(X0,X5) )
& ~ ! [X6] :
( ~ ( p101(X6)
& ~ p2(X6) )
| ~ r1(X0,X6) ) ) )
& ! [X7] :
( ( ( ~ p101(X7)
| p100(X7) )
& ( ~ p100(X7)
| ( ( ~ p1(X7)
| ! [X8] :
( ~ p100(X8)
| p1(X8)
| ~ r1(X7,X8) ) )
& ( p1(X7)
| ! [X9] :
( ~ p100(X9)
| ~ p1(X9)
| ~ r1(X7,X9) ) ) ) )
& ( ~ p101(X7)
| ( ( ~ p2(X7)
| ! [X10] :
( ~ p101(X10)
| p2(X10)
| ~ r1(X7,X10) ) )
& ( p2(X7)
| ! [X11] :
( ~ p101(X11)
| ~ p2(X11)
| ~ r1(X7,X11) ) ) ) )
& ( ~ ( p100(X7)
& ~ p101(X7) )
| ( ~ ! [X12] :
( ~ ( p101(X12)
& p2(X12) )
| ~ r1(X7,X12) )
& ~ ! [X13] :
( ~ ( p101(X13)
& ~ p2(X13) )
| ~ r1(X7,X13) ) ) ) )
| ~ r1(X0,X7) ) )
| ~ ! [X14] :
( p2(X14)
| ~ r1(X0,X14) ) ),
inference(pure_predicate_removal,[],[f4]) ).
fof(f6,plain,
? [X0] :
( p100(X0)
& ~ p101(X0)
& ( ~ p101(X0)
| p100(X0) )
& ( ~ p100(X0)
| ( ( ~ p1(X0)
| ! [X1] :
( ~ p100(X1)
| p1(X1)
| ~ r1(X0,X1) ) )
& ( p1(X0)
| ! [X2] :
( ~ p100(X2)
| ~ p1(X2)
| ~ r1(X0,X2) ) ) ) )
& ( ~ p101(X0)
| ( ( ~ p2(X0)
| ! [X3] :
( ~ p101(X3)
| p2(X3)
| ~ r1(X0,X3) ) )
& ( p2(X0)
| ! [X4] :
( ~ p101(X4)
| ~ p2(X4)
| ~ r1(X0,X4) ) ) ) )
& ( ~ p100(X0)
| p101(X0)
| ( ? [X5] :
( p101(X5)
& p2(X5)
& r1(X0,X5) )
& ? [X6] :
( p101(X6)
& ~ p2(X6)
& r1(X0,X6) ) ) )
& ! [X7] :
( ( ( ~ p101(X7)
| p100(X7) )
& ( ~ p100(X7)
| ( ( ~ p1(X7)
| ! [X8] :
( ~ p100(X8)
| p1(X8)
| ~ r1(X7,X8) ) )
& ( p1(X7)
| ! [X9] :
( ~ p100(X9)
| ~ p1(X9)
| ~ r1(X7,X9) ) ) ) )
& ( ~ p101(X7)
| ( ( ~ p2(X7)
| ! [X10] :
( ~ p101(X10)
| p2(X10)
| ~ r1(X7,X10) ) )
& ( p2(X7)
| ! [X11] :
( ~ p101(X11)
| ~ p2(X11)
| ~ r1(X7,X11) ) ) ) )
& ( ~ p100(X7)
| p101(X7)
| ( ? [X12] :
( p101(X12)
& p2(X12)
& r1(X7,X12) )
& ? [X13] :
( p101(X13)
& ~ p2(X13)
& r1(X7,X13) ) ) ) )
| ~ r1(X0,X7) )
& ! [X14] :
( p2(X14)
| ~ r1(X0,X14) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f7,plain,
? [X0] :
( p100(X0)
& ~ p101(X0)
& ( ~ p101(X0)
| p100(X0) )
& ( ~ p100(X0)
| ( ( ~ p1(X0)
| ! [X1] :
( ~ p100(X1)
| p1(X1)
| ~ r1(X0,X1) ) )
& ( p1(X0)
| ! [X2] :
( ~ p100(X2)
| ~ p1(X2)
| ~ r1(X0,X2) ) ) ) )
& ( ~ p101(X0)
| ( ( ~ p2(X0)
| ! [X3] :
( ~ p101(X3)
| p2(X3)
| ~ r1(X0,X3) ) )
& ( p2(X0)
| ! [X4] :
( ~ p101(X4)
| ~ p2(X4)
| ~ r1(X0,X4) ) ) ) )
& ( ~ p100(X0)
| p101(X0)
| ( ? [X5] :
( p101(X5)
& p2(X5)
& r1(X0,X5) )
& ? [X6] :
( p101(X6)
& ~ p2(X6)
& r1(X0,X6) ) ) )
& ! [X7] :
( ( ( ~ p101(X7)
| p100(X7) )
& ( ~ p100(X7)
| ( ( ~ p1(X7)
| ! [X8] :
( ~ p100(X8)
| p1(X8)
| ~ r1(X7,X8) ) )
& ( p1(X7)
| ! [X9] :
( ~ p100(X9)
| ~ p1(X9)
| ~ r1(X7,X9) ) ) ) )
& ( ~ p101(X7)
| ( ( ~ p2(X7)
| ! [X10] :
( ~ p101(X10)
| p2(X10)
| ~ r1(X7,X10) ) )
& ( p2(X7)
| ! [X11] :
( ~ p101(X11)
| ~ p2(X11)
| ~ r1(X7,X11) ) ) ) )
& ( ~ p100(X7)
| p101(X7)
| ( ? [X12] :
( p101(X12)
& p2(X12)
& r1(X7,X12) )
& ? [X13] :
( p101(X13)
& ~ p2(X13)
& r1(X7,X13) ) ) ) )
| ~ r1(X0,X7) )
& ! [X14] :
( p2(X14)
| ~ r1(X0,X14) ) ),
inference(flattening,[],[f6]) ).
fof(f8,plain,
! [X7] :
( ~ p100(X7)
| p101(X7)
| ( ? [X12] :
( p101(X12)
& p2(X12)
& r1(X7,X12) )
& ? [X13] :
( p101(X13)
& ~ p2(X13)
& r1(X7,X13) ) )
| ~ sP0(X7) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f9,plain,
? [X0] :
( p100(X0)
& ~ p101(X0)
& ( ~ p101(X0)
| p100(X0) )
& ( ~ p100(X0)
| ( ( ~ p1(X0)
| ! [X1] :
( ~ p100(X1)
| p1(X1)
| ~ r1(X0,X1) ) )
& ( p1(X0)
| ! [X2] :
( ~ p100(X2)
| ~ p1(X2)
| ~ r1(X0,X2) ) ) ) )
& ( ~ p101(X0)
| ( ( ~ p2(X0)
| ! [X3] :
( ~ p101(X3)
| p2(X3)
| ~ r1(X0,X3) ) )
& ( p2(X0)
| ! [X4] :
( ~ p101(X4)
| ~ p2(X4)
| ~ r1(X0,X4) ) ) ) )
& ( ~ p100(X0)
| p101(X0)
| ( ? [X5] :
( p101(X5)
& p2(X5)
& r1(X0,X5) )
& ? [X6] :
( p101(X6)
& ~ p2(X6)
& r1(X0,X6) ) ) )
& ! [X7] :
( ( ( ~ p101(X7)
| p100(X7) )
& ( ~ p100(X7)
| ( ( ~ p1(X7)
| ! [X8] :
( ~ p100(X8)
| p1(X8)
| ~ r1(X7,X8) ) )
& ( p1(X7)
| ! [X9] :
( ~ p100(X9)
| ~ p1(X9)
| ~ r1(X7,X9) ) ) ) )
& ( ~ p101(X7)
| ( ( ~ p2(X7)
| ! [X10] :
( ~ p101(X10)
| p2(X10)
| ~ r1(X7,X10) ) )
& ( p2(X7)
| ! [X11] :
( ~ p101(X11)
| ~ p2(X11)
| ~ r1(X7,X11) ) ) ) )
& sP0(X7) )
| ~ r1(X0,X7) )
& ! [X14] :
( p2(X14)
| ~ r1(X0,X14) ) ),
inference(definition_folding,[],[f7,f8]) ).
fof(f15,plain,
? [X0] :
( p100(X0)
& ~ p101(X0)
& ( ~ p101(X0)
| p100(X0) )
& ( ~ p100(X0)
| ( ( ~ p1(X0)
| ! [X1] :
( ~ p100(X1)
| p1(X1)
| ~ r1(X0,X1) ) )
& ( p1(X0)
| ! [X2] :
( ~ p100(X2)
| ~ p1(X2)
| ~ r1(X0,X2) ) ) ) )
& ( ~ p101(X0)
| ( ( ~ p2(X0)
| ! [X3] :
( ~ p101(X3)
| p2(X3)
| ~ r1(X0,X3) ) )
& ( p2(X0)
| ! [X4] :
( ~ p101(X4)
| ~ p2(X4)
| ~ r1(X0,X4) ) ) ) )
& ( ~ p100(X0)
| p101(X0)
| ( ? [X5] :
( p101(X5)
& p2(X5)
& r1(X0,X5) )
& ? [X6] :
( p101(X6)
& ~ p2(X6)
& r1(X0,X6) ) ) )
& ! [X7] :
( ( ( ~ p101(X7)
| p100(X7) )
& ( ~ p100(X7)
| ( ( ~ p1(X7)
| ! [X8] :
( ~ p100(X8)
| p1(X8)
| ~ r1(X7,X8) ) )
& ( p1(X7)
| ! [X9] :
( ~ p100(X9)
| ~ p1(X9)
| ~ r1(X7,X9) ) ) ) )
& ( ~ p101(X7)
| ( ( ~ p2(X7)
| ! [X10] :
( ~ p101(X10)
| p2(X10)
| ~ r1(X7,X10) ) )
& ( p2(X7)
| ! [X11] :
( ~ p101(X11)
| ~ p2(X11)
| ~ r1(X7,X11) ) ) ) )
& sP0(X7) )
| ~ r1(X0,X7) )
& ! [X12] :
( p2(X12)
| ~ r1(X0,X12) ) ),
inference(rectify,[],[f9]) ).
fof(f16,plain,
( ? [X0] :
( p100(X0)
& ~ p101(X0)
& ( ~ p101(X0)
| p100(X0) )
& ( ~ p100(X0)
| ( ( ~ p1(X0)
| ! [X1] :
( ~ p100(X1)
| p1(X1)
| ~ r1(X0,X1) ) )
& ( p1(X0)
| ! [X2] :
( ~ p100(X2)
| ~ p1(X2)
| ~ r1(X0,X2) ) ) ) )
& ( ~ p101(X0)
| ( ( ~ p2(X0)
| ! [X3] :
( ~ p101(X3)
| p2(X3)
| ~ r1(X0,X3) ) )
& ( p2(X0)
| ! [X4] :
( ~ p101(X4)
| ~ p2(X4)
| ~ r1(X0,X4) ) ) ) )
& ( ~ p100(X0)
| p101(X0)
| ( ? [X5] :
( p101(X5)
& p2(X5)
& r1(X0,X5) )
& ? [X6] :
( p101(X6)
& ~ p2(X6)
& r1(X0,X6) ) ) )
& ! [X7] :
( ( ( ~ p101(X7)
| p100(X7) )
& ( ~ p100(X7)
| ( ( ~ p1(X7)
| ! [X8] :
( ~ p100(X8)
| p1(X8)
| ~ r1(X7,X8) ) )
& ( p1(X7)
| ! [X9] :
( ~ p100(X9)
| ~ p1(X9)
| ~ r1(X7,X9) ) ) ) )
& ( ~ p101(X7)
| ( ( ~ p2(X7)
| ! [X10] :
( ~ p101(X10)
| p2(X10)
| ~ r1(X7,X10) ) )
& ( p2(X7)
| ! [X11] :
( ~ p101(X11)
| ~ p2(X11)
| ~ r1(X7,X11) ) ) ) )
& sP0(X7) )
| ~ r1(X0,X7) )
& ! [X12] :
( p2(X12)
| ~ r1(X0,X12) ) )
=> ( p100(sK3)
& ~ p101(sK3)
& ( ~ p101(sK3)
| p100(sK3) )
& ( ~ p100(sK3)
| ( ( ~ p1(sK3)
| ! [X1] :
( ~ p100(X1)
| p1(X1)
| ~ r1(sK3,X1) ) )
& ( p1(sK3)
| ! [X2] :
( ~ p100(X2)
| ~ p1(X2)
| ~ r1(sK3,X2) ) ) ) )
& ( ~ p101(sK3)
| ( ( ~ p2(sK3)
| ! [X3] :
( ~ p101(X3)
| p2(X3)
| ~ r1(sK3,X3) ) )
& ( p2(sK3)
| ! [X4] :
( ~ p101(X4)
| ~ p2(X4)
| ~ r1(sK3,X4) ) ) ) )
& ( ~ p100(sK3)
| p101(sK3)
| ( ? [X5] :
( p101(X5)
& p2(X5)
& r1(sK3,X5) )
& ? [X6] :
( p101(X6)
& ~ p2(X6)
& r1(sK3,X6) ) ) )
& ! [X7] :
( ( ( ~ p101(X7)
| p100(X7) )
& ( ~ p100(X7)
| ( ( ~ p1(X7)
| ! [X8] :
( ~ p100(X8)
| p1(X8)
| ~ r1(X7,X8) ) )
& ( p1(X7)
| ! [X9] :
( ~ p100(X9)
| ~ p1(X9)
| ~ r1(X7,X9) ) ) ) )
& ( ~ p101(X7)
| ( ( ~ p2(X7)
| ! [X10] :
( ~ p101(X10)
| p2(X10)
| ~ r1(X7,X10) ) )
& ( p2(X7)
| ! [X11] :
( ~ p101(X11)
| ~ p2(X11)
| ~ r1(X7,X11) ) ) ) )
& sP0(X7) )
| ~ r1(sK3,X7) )
& ! [X12] :
( p2(X12)
| ~ r1(sK3,X12) ) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
( ? [X5] :
( p101(X5)
& p2(X5)
& r1(sK3,X5) )
=> ( p101(sK4)
& p2(sK4)
& r1(sK3,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
( ? [X6] :
( p101(X6)
& ~ p2(X6)
& r1(sK3,X6) )
=> ( p101(sK5)
& ~ p2(sK5)
& r1(sK3,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
( p100(sK3)
& ~ p101(sK3)
& ( ~ p101(sK3)
| p100(sK3) )
& ( ~ p100(sK3)
| ( ( ~ p1(sK3)
| ! [X1] :
( ~ p100(X1)
| p1(X1)
| ~ r1(sK3,X1) ) )
& ( p1(sK3)
| ! [X2] :
( ~ p100(X2)
| ~ p1(X2)
| ~ r1(sK3,X2) ) ) ) )
& ( ~ p101(sK3)
| ( ( ~ p2(sK3)
| ! [X3] :
( ~ p101(X3)
| p2(X3)
| ~ r1(sK3,X3) ) )
& ( p2(sK3)
| ! [X4] :
( ~ p101(X4)
| ~ p2(X4)
| ~ r1(sK3,X4) ) ) ) )
& ( ~ p100(sK3)
| p101(sK3)
| ( p101(sK4)
& p2(sK4)
& r1(sK3,sK4)
& p101(sK5)
& ~ p2(sK5)
& r1(sK3,sK5) ) )
& ! [X7] :
( ( ( ~ p101(X7)
| p100(X7) )
& ( ~ p100(X7)
| ( ( ~ p1(X7)
| ! [X8] :
( ~ p100(X8)
| p1(X8)
| ~ r1(X7,X8) ) )
& ( p1(X7)
| ! [X9] :
( ~ p100(X9)
| ~ p1(X9)
| ~ r1(X7,X9) ) ) ) )
& ( ~ p101(X7)
| ( ( ~ p2(X7)
| ! [X10] :
( ~ p101(X10)
| p2(X10)
| ~ r1(X7,X10) ) )
& ( p2(X7)
| ! [X11] :
( ~ p101(X11)
| ~ p2(X11)
| ~ r1(X7,X11) ) ) ) )
& sP0(X7) )
| ~ r1(sK3,X7) )
& ! [X12] :
( p2(X12)
| ~ r1(sK3,X12) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f15,f18,f17,f16]) ).
fof(f26,plain,
! [X12] :
( p2(X12)
| ~ r1(sK3,X12) ),
inference(cnf_transformation,[],[f19]) ).
fof(f28,plain,
! [X11,X7] :
( ~ p101(X7)
| p2(X7)
| ~ p101(X11)
| ~ p2(X11)
| ~ r1(X7,X11)
| ~ r1(sK3,X7) ),
inference(cnf_transformation,[],[f19]) ).
fof(f33,plain,
( ~ p100(sK3)
| p101(sK3)
| r1(sK3,sK5) ),
inference(cnf_transformation,[],[f19]) ).
fof(f34,plain,
( ~ p100(sK3)
| p101(sK3)
| ~ p2(sK5) ),
inference(cnf_transformation,[],[f19]) ).
fof(f44,plain,
~ p101(sK3),
inference(cnf_transformation,[],[f19]) ).
fof(f45,plain,
p100(sK3),
inference(cnf_transformation,[],[f19]) ).
cnf(c_55,negated_conjecture,
p100(sK3),
inference(cnf_transformation,[],[f45]) ).
cnf(c_56,negated_conjecture,
~ p101(sK3),
inference(cnf_transformation,[],[f44]) ).
cnf(c_66,negated_conjecture,
( ~ p100(sK3)
| ~ p2(sK5)
| p101(sK3) ),
inference(cnf_transformation,[],[f34]) ).
cnf(c_67,negated_conjecture,
( ~ p100(sK3)
| r1(sK3,sK5)
| p101(sK3) ),
inference(cnf_transformation,[],[f33]) ).
cnf(c_72,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(sK3,X0)
| ~ p101(X0)
| ~ p101(X1)
| ~ p2(X1)
| p2(X0) ),
inference(cnf_transformation,[],[f28]) ).
cnf(c_74,negated_conjecture,
( ~ r1(sK3,X0)
| p2(X0) ),
inference(cnf_transformation,[],[f26]) ).
cnf(c_93,negated_conjecture,
~ p2(sK5),
inference(global_subsumption_just,[status(thm)],[c_66,c_55,c_56,c_66]) ).
cnf(c_105,negated_conjecture,
( ~ r1(sK3,X0)
| p2(X0) ),
inference(global_subsumption_just,[status(thm)],[c_72,c_74]) ).
cnf(c_273,plain,
~ r1(sK3,sK5),
inference(resolution,[status(thm)],[c_105,c_93]) ).
cnf(c_274,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_273,c_67,c_56,c_55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LCL636+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.12 % Command : run_iprover %s %d THM
% 0.11/0.33 % Computer : n005.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu May 2 19:15:26 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.17/0.45 Running first-order theorem proving
% 0.17/0.45 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
% 0.73/1.13 % SZS status Started for theBenchmark.p
% 0.73/1.13 % SZS status Theorem for theBenchmark.p
% 0.73/1.13
% 0.73/1.13 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.73/1.13
% 0.73/1.13 ------ iProver source info
% 0.73/1.13
% 0.73/1.13 git: date: 2024-05-02 19:28:25 +0000
% 0.73/1.13 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.73/1.13 git: non_committed_changes: false
% 0.73/1.13
% 0.73/1.13 ------ Parsing...
% 0.73/1.13 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.73/1.13
% 0.73/1.13 ------ Preprocessing... sf_s rm: 6 0s sf_e pe_s
% 0.73/1.13
% 0.73/1.13 % SZS status Theorem for theBenchmark.p
% 0.73/1.13
% 0.73/1.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.73/1.14
% 0.73/1.14
%------------------------------------------------------------------------------