TSTP Solution File: LCL688+1.001 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LCL688+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n025.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 07:52:04 EDT 2023
% Result : Theorem 3.79s 1.13s
% Output : CNFRefutation 3.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 16
% Syntax : Number of formulae : 71 ( 9 unt; 0 def)
% Number of atoms : 703 ( 0 equ)
% Maximal formula atoms : 80 ( 9 avg)
% Number of connectives : 1236 ( 604 ~; 460 |; 158 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 8 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-1 aty)
% Number of variables : 404 ( 0 sgn; 279 !; 77 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(f2,axiom,
! [X0,X1,X2] :
( ( r1(X1,X2)
& r1(X0,X1) )
=> r1(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).
fof(f3,conjecture,
~ ? [X0] :
~ ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ( ! [X1] :
( ~ ! [X0] :
( ~ ( p1(X0)
& ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ~ p1(X0) )
| ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& p2(X0)
& ~ ! [X1] :
( ~ ( ~ p2(X1)
| ! [X0] :
( p3(X0)
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p3(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ p4(X1)
| ~ r1(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f4,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ( ! [X1] :
( ~ ! [X0] :
( ~ ( p1(X0)
& ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ~ p1(X0) )
| ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& p2(X0)
& ~ ! [X1] :
( ~ ( ~ p2(X1)
| ! [X0] :
( p3(X0)
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p3(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ p4(X1)
| ~ r1(X0,X1) ) ),
inference(negated_conjecture,[],[f3]) ).
fof(f5,plain,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ ! [X2] :
( ~ p1(X2)
| ~ r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
| ! [X5] :
( ~ ! [X6] :
( ~ ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X0,X5) )
| ! [X8] :
( ! [X9] :
( p1(X9)
| ~ r1(X8,X9) )
| ! [X10] :
( ~ ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
| ~ r1(X8,X10) )
| ~ r1(X0,X8) )
| ( ! [X12] :
( ~ ! [X13] :
( ~ ( p1(X13)
& ~ ! [X14] :
( p1(X14)
| ~ r1(X13,X14) ) )
| ~ r1(X12,X13) )
| p1(X12)
| ~ r1(X0,X12) )
& ~ ! [X15] :
( ~ ! [X16] :
( p1(X16)
| ~ r1(X15,X16) )
| ~ r1(X0,X15) )
& ~ p1(X0) )
| ~ ! [X17] :
( ~ ( ~ ! [X18] :
( ~ ( ~ ! [X19] :
( ~ ! [X20] :
( ~ ! [X21] :
( ~ p2(X21)
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
| ~ r1(X18,X19) )
& p2(X18)
& ~ ! [X22] :
( ~ ( ~ p2(X22)
| ! [X23] :
( p3(X23)
| ~ r1(X22,X23) ) )
| ~ r1(X18,X22) ) )
| ~ r1(X17,X18) )
| ~ ! [X24] :
( ~ ! [X25] :
( ~ p2(X25)
| ! [X26] :
( p3(X26)
| ~ r1(X25,X26) )
| ~ r1(X24,X25) )
| ~ r1(X17,X24) ) )
| ~ r1(X0,X17) )
| ~ ! [X27] :
( ~ p4(X27)
| ~ r1(X0,X27) ) ),
inference(rectify,[],[f4]) ).
fof(f6,plain,
? [X0] :
~ ( ~ ! [X1] :
( ~ ! [X2] :
( ~ p1(X2)
| ~ r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
| ! [X5] :
( ~ ! [X6] :
( ~ ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X0,X5) )
| ! [X8] :
( ! [X9] :
( p1(X9)
| ~ r1(X8,X9) )
| ! [X10] :
( ~ ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
| ~ r1(X8,X10) )
| ~ r1(X0,X8) )
| ( ! [X12] :
( ~ ! [X13] :
( ~ ( p1(X13)
& ~ ! [X14] :
( p1(X14)
| ~ r1(X13,X14) ) )
| ~ r1(X12,X13) )
| p1(X12)
| ~ r1(X0,X12) )
& ~ ! [X15] :
( ~ ! [X16] :
( p1(X16)
| ~ r1(X15,X16) )
| ~ r1(X0,X15) )
& ~ p1(X0) )
| ~ ! [X17] :
( ~ ( ~ ! [X18] :
( ~ ( ~ ! [X19] :
( ~ ! [X20] :
( ~ ! [X21] :
( ~ p2(X21)
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
| ~ r1(X18,X19) )
& p2(X18)
& ~ ! [X22] :
( ~ ( ~ p2(X22)
| ! [X23] :
( p3(X23)
| ~ r1(X22,X23) ) )
| ~ r1(X18,X22) ) )
| ~ r1(X17,X18) )
| ~ ! [X24] :
( ~ ! [X25] :
( ~ p2(X25)
| ! [X26] :
( p3(X26)
| ~ r1(X25,X26) )
| ~ r1(X24,X25) )
| ~ r1(X17,X24) ) )
| ~ r1(X0,X17) )
| ~ ! [X27] :
( ~ p4(X27)
| ~ r1(X0,X27) ) ),
inference(flattening,[],[f5]) ).
fof(f7,plain,
? [X0] :
~ ( ~ ! [X1] :
( ~ ! [X2] :
( ~ p1(X2)
| ~ r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
| ! [X5] :
( ~ ! [X6] :
( ~ ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X0,X5) )
| ! [X8] :
( ! [X9] :
( p1(X9)
| ~ r1(X8,X9) )
| ! [X10] :
( ~ ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
| ~ r1(X8,X10) )
| ~ r1(X0,X8) )
| ( ! [X12] :
( ~ ! [X13] :
( ~ ( p1(X13)
& ~ ! [X14] :
( p1(X14)
| ~ r1(X13,X14) ) )
| ~ r1(X12,X13) )
| p1(X12)
| ~ r1(X0,X12) )
& ~ ! [X15] :
( ~ ! [X16] :
( p1(X16)
| ~ r1(X15,X16) )
| ~ r1(X0,X15) )
& ~ p1(X0) )
| ~ ! [X17] :
( ~ ( ~ ! [X18] :
( ~ ( ~ ! [X19] :
( ~ ! [X20] :
( ~ ! [X21] :
( ~ p2(X21)
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
| ~ r1(X18,X19) )
& p2(X18)
& ~ ! [X22] :
( ~ ( ~ p2(X22)
| ! [X23] : ~ r1(X22,X23) )
| ~ r1(X18,X22) ) )
| ~ r1(X17,X18) )
| ~ ! [X24] :
( ~ ! [X25] :
( ~ p2(X25)
| ! [X26] : ~ r1(X25,X26)
| ~ r1(X24,X25) )
| ~ r1(X17,X24) ) )
| ~ r1(X0,X17) )
| ~ ! [X27] :
( ~ p4(X27)
| ~ r1(X0,X27) ) ),
inference(pure_predicate_removal,[],[f6]) ).
fof(f8,plain,
? [X0] :
~ ( ~ ! [X1] :
( ~ ! [X2] :
( ~ p1(X2)
| ~ r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
| ! [X5] :
( ~ ! [X6] :
( ~ ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X0,X5) )
| ! [X8] :
( ! [X9] :
( p1(X9)
| ~ r1(X8,X9) )
| ! [X10] :
( ~ ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
| ~ r1(X8,X10) )
| ~ r1(X0,X8) )
| ( ! [X12] :
( ~ ! [X13] :
( ~ ( p1(X13)
& ~ ! [X14] :
( p1(X14)
| ~ r1(X13,X14) ) )
| ~ r1(X12,X13) )
| p1(X12)
| ~ r1(X0,X12) )
& ~ ! [X15] :
( ~ ! [X16] :
( p1(X16)
| ~ r1(X15,X16) )
| ~ r1(X0,X15) )
& ~ p1(X0) )
| ~ ! [X17] :
( ~ ( ~ ! [X18] :
( ~ ( ~ ! [X19] :
( ~ ! [X20] :
( ~ ! [X21] :
( ~ p2(X21)
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
| ~ r1(X18,X19) )
& p2(X18)
& ~ ! [X22] :
( ~ ( ~ p2(X22)
| ! [X23] : ~ r1(X22,X23) )
| ~ r1(X18,X22) ) )
| ~ r1(X17,X18) )
| ~ ! [X24] :
( ~ ! [X25] :
( ~ p2(X25)
| ! [X26] : ~ r1(X25,X26)
| ~ r1(X24,X25) )
| ~ r1(X17,X24) ) )
| ~ r1(X0,X17) ) ),
inference(pure_predicate_removal,[],[f7]) ).
fof(f9,plain,
! [X0,X1,X2] :
( r1(X0,X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f10,plain,
! [X0,X1,X2] :
( r1(X0,X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(flattening,[],[f9]) ).
fof(f11,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( p1(X2)
& r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
& ? [X5] :
( ! [X6] :
( ? [X7] :
( ~ p2(X7)
& r1(X6,X7) )
| ~ r1(X5,X6) )
& r1(X0,X5) )
& ? [X8] :
( ? [X9] :
( ~ p1(X9)
& r1(X8,X9) )
& ? [X10] :
( ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
& r1(X8,X10) )
& r1(X0,X8) )
& ( ? [X12] :
( ! [X13] :
( ~ p1(X13)
| ! [X14] :
( p1(X14)
| ~ r1(X13,X14) )
| ~ r1(X12,X13) )
& ~ p1(X12)
& r1(X0,X12) )
| ! [X15] :
( ? [X16] :
( ~ p1(X16)
& r1(X15,X16) )
| ~ r1(X0,X15) )
| p1(X0) )
& ! [X17] :
( ( ! [X18] :
( ! [X19] :
( ? [X20] :
( ! [X21] :
( ~ p2(X21)
| ~ r1(X20,X21) )
& r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ p2(X18)
| ! [X22] :
( ( p2(X22)
& ? [X23] : r1(X22,X23) )
| ~ r1(X18,X22) )
| ~ r1(X17,X18) )
& ! [X24] :
( ? [X25] :
( p2(X25)
& ? [X26] : r1(X25,X26)
& r1(X24,X25) )
| ~ r1(X17,X24) ) )
| ~ r1(X0,X17) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f12,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( p1(X2)
& r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
& ? [X5] :
( ! [X6] :
( ? [X7] :
( ~ p2(X7)
& r1(X6,X7) )
| ~ r1(X5,X6) )
& r1(X0,X5) )
& ? [X8] :
( ? [X9] :
( ~ p1(X9)
& r1(X8,X9) )
& ? [X10] :
( ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
& r1(X8,X10) )
& r1(X0,X8) )
& ( ? [X12] :
( ! [X13] :
( ~ p1(X13)
| ! [X14] :
( p1(X14)
| ~ r1(X13,X14) )
| ~ r1(X12,X13) )
& ~ p1(X12)
& r1(X0,X12) )
| ! [X15] :
( ? [X16] :
( ~ p1(X16)
& r1(X15,X16) )
| ~ r1(X0,X15) )
| p1(X0) )
& ! [X17] :
( ( ! [X18] :
( ! [X19] :
( ? [X20] :
( ! [X21] :
( ~ p2(X21)
| ~ r1(X20,X21) )
& r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ p2(X18)
| ! [X22] :
( ( p2(X22)
& ? [X23] : r1(X22,X23) )
| ~ r1(X18,X22) )
| ~ r1(X17,X18) )
& ! [X24] :
( ? [X25] :
( p2(X25)
& ? [X26] : r1(X25,X26)
& r1(X24,X25) )
| ~ r1(X17,X24) ) )
| ~ r1(X0,X17) ) ),
inference(flattening,[],[f11]) ).
fof(f13,plain,
( ? [X0] :
( ! [X1] :
( ? [X2] :
( p1(X2)
& r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
& ? [X5] :
( ! [X6] :
( ? [X7] :
( ~ p2(X7)
& r1(X6,X7) )
| ~ r1(X5,X6) )
& r1(X0,X5) )
& ? [X8] :
( ? [X9] :
( ~ p1(X9)
& r1(X8,X9) )
& ? [X10] :
( ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
& r1(X8,X10) )
& r1(X0,X8) )
& ( ? [X12] :
( ! [X13] :
( ~ p1(X13)
| ! [X14] :
( p1(X14)
| ~ r1(X13,X14) )
| ~ r1(X12,X13) )
& ~ p1(X12)
& r1(X0,X12) )
| ! [X15] :
( ? [X16] :
( ~ p1(X16)
& r1(X15,X16) )
| ~ r1(X0,X15) )
| p1(X0) )
& ! [X17] :
( ( ! [X18] :
( ! [X19] :
( ? [X20] :
( ! [X21] :
( ~ p2(X21)
| ~ r1(X20,X21) )
& r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ p2(X18)
| ! [X22] :
( ( p2(X22)
& ? [X23] : r1(X22,X23) )
| ~ r1(X18,X22) )
| ~ r1(X17,X18) )
& ! [X24] :
( ? [X25] :
( p2(X25)
& ? [X26] : r1(X25,X26)
& r1(X24,X25) )
| ~ r1(X17,X24) ) )
| ~ r1(X0,X17) ) )
=> ( ! [X1] :
( ? [X2] :
( p1(X2)
& r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(sK0,X1) )
& ? [X5] :
( ! [X6] :
( ? [X7] :
( ~ p2(X7)
& r1(X6,X7) )
| ~ r1(X5,X6) )
& r1(sK0,X5) )
& ? [X8] :
( ? [X9] :
( ~ p1(X9)
& r1(X8,X9) )
& ? [X10] :
( ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
& r1(X8,X10) )
& r1(sK0,X8) )
& ( ? [X12] :
( ! [X13] :
( ~ p1(X13)
| ! [X14] :
( p1(X14)
| ~ r1(X13,X14) )
| ~ r1(X12,X13) )
& ~ p1(X12)
& r1(sK0,X12) )
| ! [X15] :
( ? [X16] :
( ~ p1(X16)
& r1(X15,X16) )
| ~ r1(sK0,X15) )
| p1(sK0) )
& ! [X17] :
( ( ! [X18] :
( ! [X19] :
( ? [X20] :
( ! [X21] :
( ~ p2(X21)
| ~ r1(X20,X21) )
& r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ p2(X18)
| ! [X22] :
( ( p2(X22)
& ? [X23] : r1(X22,X23) )
| ~ r1(X18,X22) )
| ~ r1(X17,X18) )
& ! [X24] :
( ? [X25] :
( p2(X25)
& ? [X26] : r1(X25,X26)
& r1(X24,X25) )
| ~ r1(X17,X24) ) )
| ~ r1(sK0,X17) ) ) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
! [X1] :
( ? [X2] :
( p1(X2)
& r1(X1,X2) )
=> ( p1(sK1(X1))
& r1(X1,sK1(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
( ? [X5] :
( ! [X6] :
( ? [X7] :
( ~ p2(X7)
& r1(X6,X7) )
| ~ r1(X5,X6) )
& r1(sK0,X5) )
=> ( ! [X6] :
( ? [X7] :
( ~ p2(X7)
& r1(X6,X7) )
| ~ r1(sK2,X6) )
& r1(sK0,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
! [X6] :
( ? [X7] :
( ~ p2(X7)
& r1(X6,X7) )
=> ( ~ p2(sK3(X6))
& r1(X6,sK3(X6)) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
( ? [X8] :
( ? [X9] :
( ~ p1(X9)
& r1(X8,X9) )
& ? [X10] :
( ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
& r1(X8,X10) )
& r1(sK0,X8) )
=> ( ? [X9] :
( ~ p1(X9)
& r1(sK4,X9) )
& ? [X10] :
( ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
& r1(sK4,X10) )
& r1(sK0,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
( ? [X9] :
( ~ p1(X9)
& r1(sK4,X9) )
=> ( ~ p1(sK5)
& r1(sK4,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
( ? [X10] :
( ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
& r1(sK4,X10) )
=> ( ! [X11] :
( p1(X11)
| ~ r1(sK6,X11) )
& r1(sK4,sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
( ? [X12] :
( ! [X13] :
( ~ p1(X13)
| ! [X14] :
( p1(X14)
| ~ r1(X13,X14) )
| ~ r1(X12,X13) )
& ~ p1(X12)
& r1(sK0,X12) )
=> ( ! [X13] :
( ~ p1(X13)
| ! [X14] :
( p1(X14)
| ~ r1(X13,X14) )
| ~ r1(sK7,X13) )
& ~ p1(sK7)
& r1(sK0,sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
! [X15] :
( ? [X16] :
( ~ p1(X16)
& r1(X15,X16) )
=> ( ~ p1(sK8(X15))
& r1(X15,sK8(X15)) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
! [X19] :
( ? [X20] :
( ! [X21] :
( ~ p2(X21)
| ~ r1(X20,X21) )
& r1(X19,X20) )
=> ( ! [X21] :
( ~ p2(X21)
| ~ r1(sK9(X19),X21) )
& r1(X19,sK9(X19)) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
! [X22] :
( ? [X23] : r1(X22,X23)
=> r1(X22,sK10(X22)) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
! [X24] :
( ? [X25] :
( p2(X25)
& ? [X26] : r1(X25,X26)
& r1(X24,X25) )
=> ( p2(sK11(X24))
& ? [X26] : r1(sK11(X24),X26)
& r1(X24,sK11(X24)) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
! [X24] :
( ? [X26] : r1(sK11(X24),X26)
=> r1(sK11(X24),sK12(X24)) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
( ! [X1] :
( ( p1(sK1(X1))
& r1(X1,sK1(X1)) )
| ! [X3] :
( ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(sK0,X1) )
& ! [X6] :
( ( ~ p2(sK3(X6))
& r1(X6,sK3(X6)) )
| ~ r1(sK2,X6) )
& r1(sK0,sK2)
& ~ p1(sK5)
& r1(sK4,sK5)
& ! [X11] :
( p1(X11)
| ~ r1(sK6,X11) )
& r1(sK4,sK6)
& r1(sK0,sK4)
& ( ( ! [X13] :
( ~ p1(X13)
| ! [X14] :
( p1(X14)
| ~ r1(X13,X14) )
| ~ r1(sK7,X13) )
& ~ p1(sK7)
& r1(sK0,sK7) )
| ! [X15] :
( ( ~ p1(sK8(X15))
& r1(X15,sK8(X15)) )
| ~ r1(sK0,X15) )
| p1(sK0) )
& ! [X17] :
( ( ! [X18] :
( ! [X19] :
( ( ! [X21] :
( ~ p2(X21)
| ~ r1(sK9(X19),X21) )
& r1(X19,sK9(X19)) )
| ~ r1(X18,X19) )
| ~ p2(X18)
| ! [X22] :
( ( p2(X22)
& r1(X22,sK10(X22)) )
| ~ r1(X18,X22) )
| ~ r1(X17,X18) )
& ! [X24] :
( ( p2(sK11(X24))
& r1(sK11(X24),sK12(X24))
& r1(X24,sK11(X24)) )
| ~ r1(X17,X24) ) )
| ~ r1(sK0,X17) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12])],[f12,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13]) ).
fof(f27,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f28,plain,
! [X2,X0,X1] :
( r1(X0,X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f10]) ).
fof(f29,plain,
! [X17,X24] :
( r1(X24,sK11(X24))
| ~ r1(X17,X24)
| ~ r1(sK0,X17) ),
inference(cnf_transformation,[],[f26]) ).
fof(f31,plain,
! [X17,X24] :
( p2(sK11(X24))
| ~ r1(X17,X24)
| ~ r1(sK0,X17) ),
inference(cnf_transformation,[],[f26]) ).
fof(f33,plain,
! [X18,X19,X17,X22] :
( r1(X19,sK9(X19))
| ~ r1(X18,X19)
| ~ p2(X18)
| p2(X22)
| ~ r1(X18,X22)
| ~ r1(X17,X18)
| ~ r1(sK0,X17) ),
inference(cnf_transformation,[],[f26]) ).
fof(f35,plain,
! [X21,X18,X19,X17,X22] :
( ~ p2(X21)
| ~ r1(sK9(X19),X21)
| ~ r1(X18,X19)
| ~ p2(X18)
| p2(X22)
| ~ r1(X18,X22)
| ~ r1(X17,X18)
| ~ r1(sK0,X17) ),
inference(cnf_transformation,[],[f26]) ).
fof(f47,plain,
r1(sK0,sK2),
inference(cnf_transformation,[],[f26]) ).
fof(f48,plain,
! [X6] :
( r1(X6,sK3(X6))
| ~ r1(sK2,X6) ),
inference(cnf_transformation,[],[f26]) ).
fof(f49,plain,
! [X6] :
( ~ p2(sK3(X6))
| ~ r1(sK2,X6) ),
inference(cnf_transformation,[],[f26]) ).
cnf(c_49,plain,
r1(X0,X0),
inference(cnf_transformation,[],[f27]) ).
cnf(c_50,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| r1(X0,X2) ),
inference(cnf_transformation,[],[f28]) ).
cnf(c_53,negated_conjecture,
( ~ r1(sK2,X0)
| ~ p2(sK3(X0)) ),
inference(cnf_transformation,[],[f49]) ).
cnf(c_54,negated_conjecture,
( ~ r1(sK2,X0)
| r1(X0,sK3(X0)) ),
inference(cnf_transformation,[],[f48]) ).
cnf(c_55,negated_conjecture,
r1(sK0,sK2),
inference(cnf_transformation,[],[f47]) ).
cnf(c_67,negated_conjecture,
( ~ r1(sK9(X0),X1)
| ~ r1(X2,X0)
| ~ r1(X2,X3)
| ~ r1(X4,X2)
| ~ r1(sK0,X4)
| ~ p2(X1)
| ~ p2(X2)
| p2(X3) ),
inference(cnf_transformation,[],[f35]) ).
cnf(c_69,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(X0,X2)
| ~ r1(X3,X0)
| ~ r1(sK0,X3)
| ~ p2(X0)
| r1(X1,sK9(X1))
| p2(X2) ),
inference(cnf_transformation,[],[f33]) ).
cnf(c_71,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(sK0,X0)
| p2(sK11(X1)) ),
inference(cnf_transformation,[],[f31]) ).
cnf(c_73,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(sK0,X0)
| r1(X1,sK11(X1)) ),
inference(cnf_transformation,[],[f29]) ).
cnf(c_74,plain,
r1(sK0,sK0),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_346,plain,
( ~ r1(X0,sK2)
| ~ r1(sK0,X0)
| r1(sK2,sK11(sK2)) ),
inference(instantiation,[status(thm)],[c_73]) ).
cnf(c_347,plain,
( ~ r1(sK2,sK11(sK2))
| r1(sK11(sK2),sK3(sK11(sK2))) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_348,plain,
( ~ r1(sK0,sK0)
| ~ r1(sK0,sK2)
| r1(sK2,sK11(sK2)) ),
inference(instantiation,[status(thm)],[c_346]) ).
cnf(c_382,plain,
( ~ p2(sK3(sK11(sK2)))
| ~ r1(X0,sK2)
| ~ r1(sK0,X0) ),
inference(resolution,[status(thm)],[c_73,c_53]) ).
cnf(c_383,plain,
( ~ p2(sK3(sK11(sK2)))
| ~ r1(sK0,sK0)
| ~ r1(sK0,sK2) ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_392,plain,
( ~ r1(sK11(X0),X1)
| ~ r1(sK11(X0),X2)
| ~ r1(X3,sK11(X0))
| ~ r1(sK0,X3)
| ~ p2(sK11(X0))
| r1(X1,sK9(X1))
| p2(X2) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_395,plain,
( ~ r1(sK9(X0),X1)
| ~ r1(sK11(X2),X0)
| ~ r1(sK11(X2),X3)
| ~ r1(X4,sK11(X2))
| ~ r1(sK0,X4)
| ~ p2(sK11(X2))
| ~ p2(X1)
| p2(X3) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_466,plain,
( ~ r1(sK2,X0)
| r1(sK0,X0) ),
inference(superposition,[status(thm)],[c_55,c_50]) ).
cnf(c_568,plain,
( ~ r1(sK11(sK2),sK3(sK11(sK2)))
| ~ r1(sK11(sK2),X0)
| ~ r1(X1,sK11(sK2))
| ~ r1(sK0,X1)
| ~ p2(sK11(sK2))
| r1(X0,sK9(X0))
| p2(sK3(sK11(sK2))) ),
inference(instantiation,[status(thm)],[c_392]) ).
cnf(c_585,plain,
( ~ r1(sK9(X0),sK11(X1))
| ~ r1(sK11(X2),X0)
| ~ r1(sK11(X2),X3)
| ~ r1(X4,sK11(X2))
| ~ r1(sK0,X4)
| ~ p2(sK11(X1))
| ~ p2(sK11(X2))
| p2(X3) ),
inference(instantiation,[status(thm)],[c_395]) ).
cnf(c_697,plain,
( ~ r1(sK0,sK0)
| p2(sK11(sK2)) ),
inference(superposition,[status(thm)],[c_55,c_71]) ).
cnf(c_780,plain,
( ~ r1(sK11(sK2),sK3(sK11(sK2)))
| ~ r1(sK9(X0),sK11(X1))
| ~ r1(sK11(sK2),X0)
| ~ r1(X2,sK11(sK2))
| ~ r1(sK0,X2)
| ~ p2(sK11(X1))
| ~ p2(sK11(sK2))
| p2(sK3(sK11(sK2))) ),
inference(instantiation,[status(thm)],[c_585]) ).
cnf(c_1534,plain,
( ~ r1(X0,sK9(X1))
| ~ r1(sK0,X0)
| r1(sK9(X1),sK11(sK9(X1))) ),
inference(instantiation,[status(thm)],[c_73]) ).
cnf(c_1674,plain,
( ~ r1(sK0,sK0)
| r1(sK2,sK11(sK2)) ),
inference(superposition,[status(thm)],[c_55,c_73]) ).
cnf(c_1865,plain,
r1(sK2,sK11(sK2)),
inference(global_subsumption_just,[status(thm)],[c_1674,c_55,c_74,c_348]) ).
cnf(c_2020,plain,
( ~ r1(sK11(sK2),sK3(sK11(sK2)))
| ~ r1(sK11(sK2),X0)
| ~ r1(sK2,sK11(sK2))
| ~ r1(sK0,sK2)
| ~ p2(sK11(sK2))
| r1(X0,sK9(X0))
| p2(sK3(sK11(sK2))) ),
inference(instantiation,[status(thm)],[c_568]) ).
cnf(c_2524,plain,
r1(sK0,sK11(sK2)),
inference(superposition,[status(thm)],[c_1865,c_466]) ).
cnf(c_3267,plain,
( ~ r1(X0,sK9(X1))
| ~ r1(sK0,X0)
| p2(sK11(sK9(X1))) ),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_3432,plain,
( ~ r1(sK11(sK2),X0)
| r1(sK0,X0) ),
inference(superposition,[status(thm)],[c_2524,c_50]) ).
cnf(c_3675,plain,
( ~ r1(sK3(sK11(sK2)),sK9(sK3(sK11(sK2))))
| ~ r1(sK0,sK3(sK11(sK2)))
| r1(sK9(sK3(sK11(sK2))),sK11(sK9(sK3(sK11(sK2))))) ),
inference(instantiation,[status(thm)],[c_1534]) ).
cnf(c_4172,plain,
( ~ r1(sK11(sK2),sK3(sK11(sK2)))
| ~ r1(sK2,sK11(sK2))
| ~ r1(sK0,sK2)
| ~ p2(sK11(sK2))
| r1(sK3(sK11(sK2)),sK9(sK3(sK11(sK2))))
| p2(sK3(sK11(sK2))) ),
inference(instantiation,[status(thm)],[c_2020]) ).
cnf(c_4357,plain,
( ~ r1(sK2,sK11(sK2))
| r1(sK0,sK3(sK11(sK2))) ),
inference(superposition,[status(thm)],[c_54,c_3432]) ).
cnf(c_5794,plain,
( ~ r1(sK3(sK11(sK2)),sK9(sK3(sK11(sK2))))
| ~ r1(sK0,sK3(sK11(sK2)))
| p2(sK11(sK9(sK3(sK11(sK2))))) ),
inference(instantiation,[status(thm)],[c_3267]) ).
cnf(c_6953,plain,
( ~ r1(sK9(sK3(sK11(sK2))),sK11(sK9(sK3(sK11(sK2)))))
| ~ r1(sK11(sK2),sK3(sK11(sK2)))
| ~ p2(sK11(sK9(sK3(sK11(sK2)))))
| ~ r1(X0,sK11(sK2))
| ~ r1(sK0,X0)
| ~ p2(sK11(sK2))
| p2(sK3(sK11(sK2))) ),
inference(instantiation,[status(thm)],[c_780]) ).
cnf(c_6957,plain,
( ~ r1(sK9(sK3(sK11(sK2))),sK11(sK9(sK3(sK11(sK2)))))
| ~ r1(sK11(sK2),sK3(sK11(sK2)))
| ~ p2(sK11(sK9(sK3(sK11(sK2)))))
| ~ r1(sK0,sK11(sK2))
| ~ r1(sK0,sK0)
| ~ p2(sK11(sK2))
| p2(sK3(sK11(sK2))) ),
inference(instantiation,[status(thm)],[c_6953]) ).
cnf(c_6958,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_6957,c_5794,c_4357,c_4172,c_3675,c_2524,c_697,c_383,c_347,c_348,c_74,c_55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LCL688+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12 % Command : run_iprover %s %d THM
% 0.11/0.33 % Computer : n025.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 Aug 24 21:33:51 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.18/0.46 Running first-order theorem proving
% 0.18/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.79/1.13 % SZS status Started for theBenchmark.p
% 3.79/1.13 % SZS status Theorem for theBenchmark.p
% 3.79/1.13
% 3.79/1.13 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.79/1.13
% 3.79/1.13 ------ iProver source info
% 3.79/1.13
% 3.79/1.13 git: date: 2023-05-31 18:12:56 +0000
% 3.79/1.13 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.79/1.13 git: non_committed_changes: false
% 3.79/1.13 git: last_make_outside_of_git: false
% 3.79/1.13
% 3.79/1.13 ------ Parsing...
% 3.79/1.13 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.79/1.13
% 3.79/1.13 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 3.79/1.13
% 3.79/1.13 ------ Preprocessing... gs_s sp: 8 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.79/1.13 ------ Proving...
% 3.79/1.13 ------ Problem Properties
% 3.79/1.13
% 3.79/1.13
% 3.79/1.13 clauses 28
% 3.79/1.13 conjectures 26
% 3.79/1.13 EPR 15
% 3.79/1.13 Horn 20
% 3.79/1.13 unary 6
% 3.79/1.13 binary 3
% 3.79/1.13 lits 93
% 3.79/1.13 lits eq 0
% 3.79/1.13 fd_pure 0
% 3.79/1.13 fd_pseudo 0
% 3.79/1.13 fd_cond 0
% 3.79/1.13 fd_pseudo_cond 0
% 3.79/1.13 AC symbols 0
% 3.79/1.13
% 3.79/1.13 ------ Input Options Time Limit: Unbounded
% 3.79/1.13
% 3.79/1.13
% 3.79/1.13 ------
% 3.79/1.13 Current options:
% 3.79/1.13 ------
% 3.79/1.13
% 3.79/1.13
% 3.79/1.13
% 3.79/1.13
% 3.79/1.13 ------ Proving...
% 3.79/1.13
% 3.79/1.13
% 3.79/1.13 % SZS status Theorem for theBenchmark.p
% 3.79/1.13
% 3.79/1.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.79/1.13
% 3.79/1.13
%------------------------------------------------------------------------------