TSTP Solution File: LCL672+1.001 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LCL672+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n020.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 07:49:24 EDT 2023
% Result : Theorem 2.75s 1.10s
% Output : CNFRefutation 2.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 14
% Syntax : Number of formulae : 83 ( 21 unt; 0 def)
% Number of atoms : 804 ( 0 equ)
% Maximal formula atoms : 96 ( 9 avg)
% Number of connectives : 1347 ( 626 ~; 549 |; 160 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-1 aty)
% Number of variables : 444 ( 0 sgn; 292 !; 62 ?)
% 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] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ! [X0] :
( $false
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) )
| ( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) )
| ( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ! [X0] :
( ~ ( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) )
| ( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p1(X1)
& ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f4,negated_conjecture,
~ ~ ? [X0] :
~ ( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ! [X0] :
( $false
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) )
| ( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) )
| ( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ! [X0] :
( ~ ( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) )
| ( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p1(X1)
& ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) ) ),
inference(negated_conjecture,[],[f3]) ).
fof(f5,plain,
~ ~ ? [X0] :
~ ( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X2] :
( ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ! [X4] :
( ~ ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X2,X4) )
| ~ r1(X0,X2) )
| ! [X6] :
( p2(X6)
| ~ r1(X0,X6) )
| ( ~ ! [X7] :
( p1(X7)
| ~ r1(X0,X7) )
& ~ ! [X8] :
( ~ ! [X9] :
( $false
| ~ r1(X8,X9) )
| ~ r1(X0,X8) )
& ~ ! [X10] :
( p2(X10)
| ~ r1(X0,X10) ) )
| ( ~ ! [X11] :
( p1(X11)
| ~ r1(X0,X11) )
& ~ ! [X12] :
( ~ ( ~ ! [X13] :
( ~ ! [X14] :
( p1(X14)
| ~ r1(X13,X14) )
| ~ r1(X12,X13) )
& ~ ! [X15] :
( ~ ! [X16] :
( ~ ! [X17] :
( p1(X17)
| ~ r1(X16,X17) )
| ~ r1(X15,X16) )
| ~ r1(X12,X15) ) )
| ~ r1(X0,X12) )
& ~ ! [X18] :
( p2(X18)
| ~ r1(X0,X18) ) )
| ( ~ ! [X19] :
( p1(X19)
| ~ r1(X0,X19) )
& ~ ! [X20] :
( ! [X21] :
( ~ ( ~ ! [X22] :
( p1(X22)
| ~ r1(X21,X22) )
& ~ ! [X23] :
( ~ ! [X24] :
( p1(X24)
| ~ r1(X23,X24) )
| ~ r1(X21,X23) ) )
| ~ r1(X20,X21) )
| ~ r1(X0,X20) )
& ~ ! [X25] :
( p2(X25)
| ~ r1(X0,X25) ) )
| ( ~ ! [X26] :
( p1(X26)
| ~ r1(X0,X26) )
& ~ ! [X27] :
( ~ ( p1(X27)
& ~ ! [X28] :
( ~ ! [X29] :
( ~ p1(X29)
| ~ r1(X28,X29) )
| ~ r1(X27,X28) ) )
| ~ r1(X0,X27) )
& ~ ! [X30] :
( p2(X30)
| ~ r1(X0,X30) ) ) ),
inference(rectify,[],[f4]) ).
fof(f6,plain,
~ ~ ? [X0] :
~ ( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X2] :
( ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ! [X4] :
( ~ ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X2,X4) )
| ~ r1(X0,X2) )
| ! [X6] :
( p2(X6)
| ~ r1(X0,X6) )
| ( ~ ! [X7] :
( p1(X7)
| ~ r1(X0,X7) )
& ~ ! [X8] :
( ~ ! [X9] : ~ r1(X8,X9)
| ~ r1(X0,X8) )
& ~ ! [X10] :
( p2(X10)
| ~ r1(X0,X10) ) )
| ( ~ ! [X11] :
( p1(X11)
| ~ r1(X0,X11) )
& ~ ! [X12] :
( ~ ( ~ ! [X13] :
( ~ ! [X14] :
( p1(X14)
| ~ r1(X13,X14) )
| ~ r1(X12,X13) )
& ~ ! [X15] :
( ~ ! [X16] :
( ~ ! [X17] :
( p1(X17)
| ~ r1(X16,X17) )
| ~ r1(X15,X16) )
| ~ r1(X12,X15) ) )
| ~ r1(X0,X12) )
& ~ ! [X18] :
( p2(X18)
| ~ r1(X0,X18) ) )
| ( ~ ! [X19] :
( p1(X19)
| ~ r1(X0,X19) )
& ~ ! [X20] :
( ! [X21] :
( ~ ( ~ ! [X22] :
( p1(X22)
| ~ r1(X21,X22) )
& ~ ! [X23] :
( ~ ! [X24] :
( p1(X24)
| ~ r1(X23,X24) )
| ~ r1(X21,X23) ) )
| ~ r1(X20,X21) )
| ~ r1(X0,X20) )
& ~ ! [X25] :
( p2(X25)
| ~ r1(X0,X25) ) )
| ( ~ ! [X26] :
( p1(X26)
| ~ r1(X0,X26) )
& ~ ! [X27] :
( ~ ( p1(X27)
& ~ ! [X28] :
( ~ ! [X29] :
( ~ p1(X29)
| ~ r1(X28,X29) )
| ~ r1(X27,X28) ) )
| ~ r1(X0,X27) )
& ~ ! [X30] :
( p2(X30)
| ~ r1(X0,X30) ) ) ),
inference(true_and_false_elimination,[],[f5]) ).
fof(f7,plain,
? [X0] :
~ ( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X2] :
( ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ! [X4] :
( ~ ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X2,X4) )
| ~ r1(X0,X2) )
| ! [X6] :
( p2(X6)
| ~ r1(X0,X6) )
| ( ~ ! [X7] :
( p1(X7)
| ~ r1(X0,X7) )
& ~ ! [X8] :
( ~ ! [X9] : ~ r1(X8,X9)
| ~ r1(X0,X8) )
& ~ ! [X10] :
( p2(X10)
| ~ r1(X0,X10) ) )
| ( ~ ! [X11] :
( p1(X11)
| ~ r1(X0,X11) )
& ~ ! [X12] :
( ~ ( ~ ! [X13] :
( ~ ! [X14] :
( p1(X14)
| ~ r1(X13,X14) )
| ~ r1(X12,X13) )
& ~ ! [X15] :
( ~ ! [X16] :
( ~ ! [X17] :
( p1(X17)
| ~ r1(X16,X17) )
| ~ r1(X15,X16) )
| ~ r1(X12,X15) ) )
| ~ r1(X0,X12) )
& ~ ! [X18] :
( p2(X18)
| ~ r1(X0,X18) ) )
| ( ~ ! [X19] :
( p1(X19)
| ~ r1(X0,X19) )
& ~ ! [X20] :
( ! [X21] :
( ~ ( ~ ! [X22] :
( p1(X22)
| ~ r1(X21,X22) )
& ~ ! [X23] :
( ~ ! [X24] :
( p1(X24)
| ~ r1(X23,X24) )
| ~ r1(X21,X23) ) )
| ~ r1(X20,X21) )
| ~ r1(X0,X20) )
& ~ ! [X25] :
( p2(X25)
| ~ r1(X0,X25) ) )
| ( ~ ! [X26] :
( p1(X26)
| ~ r1(X0,X26) )
& ~ ! [X27] :
( ~ ( p1(X27)
& ~ ! [X28] :
( ~ ! [X29] :
( ~ p1(X29)
| ~ r1(X28,X29) )
| ~ r1(X27,X28) ) )
| ~ r1(X0,X27) )
& ~ ! [X30] :
( p2(X30)
| ~ r1(X0,X30) ) ) ),
inference(flattening,[],[f6]) ).
fof(f8,plain,
! [X0,X1,X2] :
( r1(X0,X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f9,plain,
! [X0,X1,X2] :
( r1(X0,X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(flattening,[],[f8]) ).
fof(f10,plain,
? [X0] :
( ? [X1] :
( ~ p1(X1)
& r1(X0,X1) )
& ? [X2] :
( ? [X3] :
( ~ p1(X3)
& r1(X2,X3) )
& ? [X4] :
( ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
& r1(X2,X4) )
& r1(X0,X2) )
& ? [X6] :
( ~ p2(X6)
& r1(X0,X6) )
& ( ! [X7] :
( p1(X7)
| ~ r1(X0,X7) )
| ! [X8] :
( ? [X9] : r1(X8,X9)
| ~ r1(X0,X8) )
| ! [X10] :
( p2(X10)
| ~ r1(X0,X10) ) )
& ( ! [X11] :
( p1(X11)
| ~ r1(X0,X11) )
| ! [X12] :
( ! [X13] :
( ? [X14] :
( ~ p1(X14)
& r1(X13,X14) )
| ~ r1(X12,X13) )
| ! [X15] :
( ? [X16] :
( ! [X17] :
( p1(X17)
| ~ r1(X16,X17) )
& r1(X15,X16) )
| ~ r1(X12,X15) )
| ~ r1(X0,X12) )
| ! [X18] :
( p2(X18)
| ~ r1(X0,X18) ) )
& ( ! [X19] :
( p1(X19)
| ~ r1(X0,X19) )
| ! [X20] :
( ! [X21] :
( ! [X22] :
( p1(X22)
| ~ r1(X21,X22) )
| ! [X23] :
( ? [X24] :
( ~ p1(X24)
& r1(X23,X24) )
| ~ r1(X21,X23) )
| ~ r1(X20,X21) )
| ~ r1(X0,X20) )
| ! [X25] :
( p2(X25)
| ~ r1(X0,X25) ) )
& ( ! [X26] :
( p1(X26)
| ~ r1(X0,X26) )
| ! [X27] :
( ~ p1(X27)
| ! [X28] :
( ? [X29] :
( p1(X29)
& r1(X28,X29) )
| ~ r1(X27,X28) )
| ~ r1(X0,X27) )
| ! [X30] :
( p2(X30)
| ~ r1(X0,X30) ) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f11,plain,
? [X0] :
( ? [X1] :
( ~ p1(X1)
& r1(X0,X1) )
& ? [X2] :
( ? [X3] :
( ~ p1(X3)
& r1(X2,X3) )
& ? [X4] :
( ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
& r1(X2,X4) )
& r1(X0,X2) )
& ? [X6] :
( ~ p2(X6)
& r1(X0,X6) )
& ( ! [X7] :
( p1(X7)
| ~ r1(X0,X7) )
| ! [X8] :
( ? [X9] : r1(X8,X9)
| ~ r1(X0,X8) )
| ! [X10] :
( p2(X10)
| ~ r1(X0,X10) ) )
& ( ! [X11] :
( p1(X11)
| ~ r1(X0,X11) )
| ! [X12] :
( ! [X13] :
( ? [X14] :
( ~ p1(X14)
& r1(X13,X14) )
| ~ r1(X12,X13) )
| ! [X15] :
( ? [X16] :
( ! [X17] :
( p1(X17)
| ~ r1(X16,X17) )
& r1(X15,X16) )
| ~ r1(X12,X15) )
| ~ r1(X0,X12) )
| ! [X18] :
( p2(X18)
| ~ r1(X0,X18) ) )
& ( ! [X19] :
( p1(X19)
| ~ r1(X0,X19) )
| ! [X20] :
( ! [X21] :
( ! [X22] :
( p1(X22)
| ~ r1(X21,X22) )
| ! [X23] :
( ? [X24] :
( ~ p1(X24)
& r1(X23,X24) )
| ~ r1(X21,X23) )
| ~ r1(X20,X21) )
| ~ r1(X0,X20) )
| ! [X25] :
( p2(X25)
| ~ r1(X0,X25) ) )
& ( ! [X26] :
( p1(X26)
| ~ r1(X0,X26) )
| ! [X27] :
( ~ p1(X27)
| ! [X28] :
( ? [X29] :
( p1(X29)
& r1(X28,X29) )
| ~ r1(X27,X28) )
| ~ r1(X0,X27) )
| ! [X30] :
( p2(X30)
| ~ r1(X0,X30) ) ) ),
inference(flattening,[],[f10]) ).
fof(f12,plain,
( ? [X0] :
( ? [X1] :
( ~ p1(X1)
& r1(X0,X1) )
& ? [X2] :
( ? [X3] :
( ~ p1(X3)
& r1(X2,X3) )
& ? [X4] :
( ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
& r1(X2,X4) )
& r1(X0,X2) )
& ? [X6] :
( ~ p2(X6)
& r1(X0,X6) )
& ( ! [X7] :
( p1(X7)
| ~ r1(X0,X7) )
| ! [X8] :
( ? [X9] : r1(X8,X9)
| ~ r1(X0,X8) )
| ! [X10] :
( p2(X10)
| ~ r1(X0,X10) ) )
& ( ! [X11] :
( p1(X11)
| ~ r1(X0,X11) )
| ! [X12] :
( ! [X13] :
( ? [X14] :
( ~ p1(X14)
& r1(X13,X14) )
| ~ r1(X12,X13) )
| ! [X15] :
( ? [X16] :
( ! [X17] :
( p1(X17)
| ~ r1(X16,X17) )
& r1(X15,X16) )
| ~ r1(X12,X15) )
| ~ r1(X0,X12) )
| ! [X18] :
( p2(X18)
| ~ r1(X0,X18) ) )
& ( ! [X19] :
( p1(X19)
| ~ r1(X0,X19) )
| ! [X20] :
( ! [X21] :
( ! [X22] :
( p1(X22)
| ~ r1(X21,X22) )
| ! [X23] :
( ? [X24] :
( ~ p1(X24)
& r1(X23,X24) )
| ~ r1(X21,X23) )
| ~ r1(X20,X21) )
| ~ r1(X0,X20) )
| ! [X25] :
( p2(X25)
| ~ r1(X0,X25) ) )
& ( ! [X26] :
( p1(X26)
| ~ r1(X0,X26) )
| ! [X27] :
( ~ p1(X27)
| ! [X28] :
( ? [X29] :
( p1(X29)
& r1(X28,X29) )
| ~ r1(X27,X28) )
| ~ r1(X0,X27) )
| ! [X30] :
( p2(X30)
| ~ r1(X0,X30) ) ) )
=> ( ? [X1] :
( ~ p1(X1)
& r1(sK0,X1) )
& ? [X2] :
( ? [X3] :
( ~ p1(X3)
& r1(X2,X3) )
& ? [X4] :
( ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
& r1(X2,X4) )
& r1(sK0,X2) )
& ? [X6] :
( ~ p2(X6)
& r1(sK0,X6) )
& ( ! [X7] :
( p1(X7)
| ~ r1(sK0,X7) )
| ! [X8] :
( ? [X9] : r1(X8,X9)
| ~ r1(sK0,X8) )
| ! [X10] :
( p2(X10)
| ~ r1(sK0,X10) ) )
& ( ! [X11] :
( p1(X11)
| ~ r1(sK0,X11) )
| ! [X12] :
( ! [X13] :
( ? [X14] :
( ~ p1(X14)
& r1(X13,X14) )
| ~ r1(X12,X13) )
| ! [X15] :
( ? [X16] :
( ! [X17] :
( p1(X17)
| ~ r1(X16,X17) )
& r1(X15,X16) )
| ~ r1(X12,X15) )
| ~ r1(sK0,X12) )
| ! [X18] :
( p2(X18)
| ~ r1(sK0,X18) ) )
& ( ! [X19] :
( p1(X19)
| ~ r1(sK0,X19) )
| ! [X20] :
( ! [X21] :
( ! [X22] :
( p1(X22)
| ~ r1(X21,X22) )
| ! [X23] :
( ? [X24] :
( ~ p1(X24)
& r1(X23,X24) )
| ~ r1(X21,X23) )
| ~ r1(X20,X21) )
| ~ r1(sK0,X20) )
| ! [X25] :
( p2(X25)
| ~ r1(sK0,X25) ) )
& ( ! [X26] :
( p1(X26)
| ~ r1(sK0,X26) )
| ! [X27] :
( ~ p1(X27)
| ! [X28] :
( ? [X29] :
( p1(X29)
& r1(X28,X29) )
| ~ r1(X27,X28) )
| ~ r1(sK0,X27) )
| ! [X30] :
( p2(X30)
| ~ r1(sK0,X30) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
( ? [X1] :
( ~ p1(X1)
& r1(sK0,X1) )
=> ( ~ p1(sK1)
& r1(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
( ? [X2] :
( ? [X3] :
( ~ p1(X3)
& r1(X2,X3) )
& ? [X4] :
( ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
& r1(X2,X4) )
& r1(sK0,X2) )
=> ( ? [X3] :
( ~ p1(X3)
& r1(sK2,X3) )
& ? [X4] :
( ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
& r1(sK2,X4) )
& r1(sK0,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
( ? [X3] :
( ~ p1(X3)
& r1(sK2,X3) )
=> ( ~ p1(sK3)
& r1(sK2,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
( ? [X4] :
( ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
& r1(sK2,X4) )
=> ( ! [X5] :
( p1(X5)
| ~ r1(sK4,X5) )
& r1(sK2,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
( ? [X6] :
( ~ p2(X6)
& r1(sK0,X6) )
=> ( ~ p2(sK5)
& r1(sK0,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
! [X8] :
( ? [X9] : r1(X8,X9)
=> r1(X8,sK6(X8)) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
! [X13] :
( ? [X14] :
( ~ p1(X14)
& r1(X13,X14) )
=> ( ~ p1(sK7(X13))
& r1(X13,sK7(X13)) ) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
! [X15] :
( ? [X16] :
( ! [X17] :
( p1(X17)
| ~ r1(X16,X17) )
& r1(X15,X16) )
=> ( ! [X17] :
( p1(X17)
| ~ r1(sK8(X15),X17) )
& r1(X15,sK8(X15)) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
! [X23] :
( ? [X24] :
( ~ p1(X24)
& r1(X23,X24) )
=> ( ~ p1(sK9(X23))
& r1(X23,sK9(X23)) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
! [X28] :
( ? [X29] :
( p1(X29)
& r1(X28,X29) )
=> ( p1(sK10(X28))
& r1(X28,sK10(X28)) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
( ~ p1(sK1)
& r1(sK0,sK1)
& ~ p1(sK3)
& r1(sK2,sK3)
& ! [X5] :
( p1(X5)
| ~ r1(sK4,X5) )
& r1(sK2,sK4)
& r1(sK0,sK2)
& ~ p2(sK5)
& r1(sK0,sK5)
& ( ! [X7] :
( p1(X7)
| ~ r1(sK0,X7) )
| ! [X8] :
( r1(X8,sK6(X8))
| ~ r1(sK0,X8) )
| ! [X10] :
( p2(X10)
| ~ r1(sK0,X10) ) )
& ( ! [X11] :
( p1(X11)
| ~ r1(sK0,X11) )
| ! [X12] :
( ! [X13] :
( ( ~ p1(sK7(X13))
& r1(X13,sK7(X13)) )
| ~ r1(X12,X13) )
| ! [X15] :
( ( ! [X17] :
( p1(X17)
| ~ r1(sK8(X15),X17) )
& r1(X15,sK8(X15)) )
| ~ r1(X12,X15) )
| ~ r1(sK0,X12) )
| ! [X18] :
( p2(X18)
| ~ r1(sK0,X18) ) )
& ( ! [X19] :
( p1(X19)
| ~ r1(sK0,X19) )
| ! [X20] :
( ! [X21] :
( ! [X22] :
( p1(X22)
| ~ r1(X21,X22) )
| ! [X23] :
( ( ~ p1(sK9(X23))
& r1(X23,sK9(X23)) )
| ~ r1(X21,X23) )
| ~ r1(X20,X21) )
| ~ r1(sK0,X20) )
| ! [X25] :
( p2(X25)
| ~ r1(sK0,X25) ) )
& ( ! [X26] :
( p1(X26)
| ~ r1(sK0,X26) )
| ! [X27] :
( ~ p1(X27)
| ! [X28] :
( ( p1(sK10(X28))
& r1(X28,sK10(X28)) )
| ~ r1(X27,X28) )
| ~ r1(sK0,X27) )
| ! [X30] :
( p2(X30)
| ~ r1(sK0,X30) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10])],[f11,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12]) ).
fof(f24,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f25,plain,
! [X2,X0,X1] :
( r1(X0,X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f9]) ).
fof(f27,plain,
! [X28,X26,X27,X30] :
( p1(X26)
| ~ r1(sK0,X26)
| ~ p1(X27)
| p1(sK10(X28))
| ~ r1(X27,X28)
| ~ r1(sK0,X27)
| p2(X30)
| ~ r1(sK0,X30) ),
inference(cnf_transformation,[],[f23]) ).
fof(f28,plain,
! [X21,X19,X22,X25,X23,X20] :
( p1(X19)
| ~ r1(sK0,X19)
| p1(X22)
| ~ r1(X21,X22)
| r1(X23,sK9(X23))
| ~ r1(X21,X23)
| ~ r1(X20,X21)
| ~ r1(sK0,X20)
| p2(X25)
| ~ r1(sK0,X25) ),
inference(cnf_transformation,[],[f23]) ).
fof(f29,plain,
! [X21,X19,X22,X25,X23,X20] :
( p1(X19)
| ~ r1(sK0,X19)
| p1(X22)
| ~ r1(X21,X22)
| ~ p1(sK9(X23))
| ~ r1(X21,X23)
| ~ r1(X20,X21)
| ~ r1(sK0,X20)
| p2(X25)
| ~ r1(sK0,X25) ),
inference(cnf_transformation,[],[f23]) ).
fof(f35,plain,
r1(sK0,sK5),
inference(cnf_transformation,[],[f23]) ).
fof(f36,plain,
~ p2(sK5),
inference(cnf_transformation,[],[f23]) ).
fof(f37,plain,
r1(sK0,sK2),
inference(cnf_transformation,[],[f23]) ).
fof(f38,plain,
r1(sK2,sK4),
inference(cnf_transformation,[],[f23]) ).
fof(f39,plain,
! [X5] :
( p1(X5)
| ~ r1(sK4,X5) ),
inference(cnf_transformation,[],[f23]) ).
fof(f40,plain,
r1(sK2,sK3),
inference(cnf_transformation,[],[f23]) ).
fof(f41,plain,
~ p1(sK3),
inference(cnf_transformation,[],[f23]) ).
fof(f42,plain,
r1(sK0,sK1),
inference(cnf_transformation,[],[f23]) ).
fof(f43,plain,
~ p1(sK1),
inference(cnf_transformation,[],[f23]) ).
cnf(c_49,plain,
r1(X0,X0),
inference(cnf_transformation,[],[f24]) ).
cnf(c_50,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| r1(X0,X2) ),
inference(cnf_transformation,[],[f25]) ).
cnf(c_51,negated_conjecture,
~ p1(sK1),
inference(cnf_transformation,[],[f43]) ).
cnf(c_52,negated_conjecture,
r1(sK0,sK1),
inference(cnf_transformation,[],[f42]) ).
cnf(c_53,negated_conjecture,
~ p1(sK3),
inference(cnf_transformation,[],[f41]) ).
cnf(c_54,negated_conjecture,
r1(sK2,sK3),
inference(cnf_transformation,[],[f40]) ).
cnf(c_55,negated_conjecture,
( ~ r1(sK4,X0)
| p1(X0) ),
inference(cnf_transformation,[],[f39]) ).
cnf(c_56,negated_conjecture,
r1(sK2,sK4),
inference(cnf_transformation,[],[f38]) ).
cnf(c_57,negated_conjecture,
r1(sK0,sK2),
inference(cnf_transformation,[],[f37]) ).
cnf(c_58,negated_conjecture,
~ p2(sK5),
inference(cnf_transformation,[],[f36]) ).
cnf(c_59,negated_conjecture,
r1(sK0,sK5),
inference(cnf_transformation,[],[f35]) ).
cnf(c_65,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(X0,X2)
| ~ r1(X3,X0)
| ~ r1(sK0,X3)
| ~ r1(sK0,X4)
| ~ r1(sK0,X5)
| ~ p1(sK9(X2))
| p1(X1)
| p1(X4)
| p2(X5) ),
inference(cnf_transformation,[],[f29]) ).
cnf(c_66,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(X0,X2)
| ~ r1(X3,X0)
| ~ r1(sK0,X3)
| ~ r1(sK0,X4)
| ~ r1(sK0,X5)
| r1(X2,sK9(X2))
| p1(X1)
| p1(X4)
| p2(X5) ),
inference(cnf_transformation,[],[f28]) ).
cnf(c_67,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(sK0,X0)
| ~ r1(sK0,X2)
| ~ r1(sK0,X3)
| ~ p1(X0)
| p1(sK10(X1))
| p1(X2)
| p2(X3) ),
inference(cnf_transformation,[],[f27]) ).
cnf(c_69,plain,
r1(sK0,sK0),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_283,plain,
( ~ r1(X0,X1)
| ~ r1(X0,X2)
| ~ r1(X3,X0)
| ~ r1(sK0,X3)
| ~ r1(sK0,X4)
| ~ r1(sK0,sK5)
| r1(X2,sK9(X2))
| p1(X1)
| p1(X4) ),
inference(resolution,[status(thm)],[c_58,c_66]) ).
cnf(c_285,plain,
( ~ r1(sK0,X4)
| ~ r1(sK0,X3)
| ~ r1(X3,X0)
| ~ r1(X0,X2)
| ~ r1(X0,X1)
| r1(X2,sK9(X2))
| p1(X1)
| p1(X4) ),
inference(global_subsumption_just,[status(thm)],[c_283,c_59,c_283]) ).
cnf(c_286,plain,
( ~ r1(X0,X1)
| ~ r1(X0,X2)
| ~ r1(X3,X0)
| ~ r1(sK0,X3)
| ~ r1(sK0,X4)
| r1(X2,sK9(X2))
| p1(X1)
| p1(X4) ),
inference(renaming,[status(thm)],[c_285]) ).
cnf(c_312,plain,
( ~ r1(X0,X1)
| ~ r1(X0,X2)
| ~ r1(X3,X0)
| ~ r1(sK0,X3)
| ~ r1(sK0,X4)
| ~ p1(sK9(X2))
| ~ r1(sK0,sK5)
| p1(X1)
| p1(X4) ),
inference(resolution,[status(thm)],[c_58,c_65]) ).
cnf(c_314,plain,
( ~ p1(sK9(X2))
| ~ r1(sK0,X4)
| ~ r1(sK0,X3)
| ~ r1(X3,X0)
| ~ r1(X0,X2)
| ~ r1(X0,X1)
| p1(X1)
| p1(X4) ),
inference(global_subsumption_just,[status(thm)],[c_312,c_59,c_312]) ).
cnf(c_315,plain,
( ~ r1(X0,X1)
| ~ r1(X0,X2)
| ~ r1(X3,X0)
| ~ r1(sK0,X3)
| ~ r1(sK0,X4)
| ~ p1(sK9(X2))
| p1(X1)
| p1(X4) ),
inference(renaming,[status(thm)],[c_314]) ).
cnf(c_472,plain,
( ~ r1(X0,X1)
| ~ r1(sK0,X0)
| ~ r1(sK0,X2)
| ~ r1(sK0,sK5)
| ~ p1(X0)
| p1(sK10(X1))
| p1(X2) ),
inference(resolution,[status(thm)],[c_58,c_67]) ).
cnf(c_473,plain,
( ~ r1(sK0,X2)
| ~ r1(sK0,X0)
| ~ r1(X0,X1)
| ~ p1(X0)
| p1(sK10(X1))
| p1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_472,c_59,c_472]) ).
cnf(c_474,plain,
( ~ r1(X0,X1)
| ~ r1(sK0,X0)
| ~ r1(sK0,X2)
| ~ p1(X0)
| p1(sK10(X1))
| p1(X2) ),
inference(renaming,[status(thm)],[c_473]) ).
cnf(c_705,plain,
( ~ r1(sK0,X0)
| p1(X0)
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_474]) ).
cnf(c_718,plain,
( ~ r1(X0,X1)
| ~ r1(X0,X2)
| ~ r1(X3,X0)
| ~ r1(sK0,X3)
| p1(X2)
| ~ p1(sK9(X1))
| ~ sP7_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP7_iProver_split])],[c_315]) ).
cnf(c_719,plain,
( sP0_iProver_split
| sP7_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_315]) ).
cnf(c_720,plain,
( ~ r1(X0,X1)
| ~ r1(X0,X2)
| ~ r1(X3,X0)
| r1(X1,sK9(X1))
| ~ r1(sK0,X3)
| p1(X2)
| ~ sP8_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP8_iProver_split])],[c_286]) ).
cnf(c_721,plain,
( sP0_iProver_split
| sP8_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_286]) ).
cnf(c_732,plain,
( ~ r1(sK0,sK1)
| ~ sP0_iProver_split
| p1(sK1) ),
inference(instantiation,[status(thm)],[c_705]) ).
cnf(c_753,plain,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ r1(X0,sK1)
| ~ r1(sK0,X2)
| ~ p1(sK9(X1))
| ~ sP7_iProver_split
| p1(sK1) ),
inference(instantiation,[status(thm)],[c_718]) ).
cnf(c_754,plain,
( ~ r1(sK0,sK1)
| ~ r1(sK0,sK0)
| ~ p1(sK9(sK0))
| ~ sP7_iProver_split
| p1(sK1) ),
inference(instantiation,[status(thm)],[c_753]) ).
cnf(c_759,plain,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ r1(X0,sK1)
| ~ r1(sK0,X2)
| ~ sP8_iProver_split
| r1(X1,sK9(X1))
| p1(sK1) ),
inference(instantiation,[status(thm)],[c_720]) ).
cnf(c_760,plain,
( ~ r1(sK0,sK1)
| ~ r1(sK0,sK0)
| ~ sP8_iProver_split
| r1(sK0,sK9(sK0))
| p1(sK1) ),
inference(instantiation,[status(thm)],[c_759]) ).
cnf(c_761,plain,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ r1(X0,sK3)
| ~ r1(sK0,X2)
| ~ sP8_iProver_split
| r1(X1,sK9(X1))
| p1(sK3) ),
inference(instantiation,[status(thm)],[c_720]) ).
cnf(c_799,plain,
( ~ r1(sK4,sK9(X0))
| p1(sK9(X0)) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_803,plain,
( ~ r1(X0,sK9(X1))
| ~ r1(X0,X2)
| ~ r1(X3,X0)
| ~ r1(sK0,X3)
| ~ p1(sK9(X2))
| ~ sP7_iProver_split
| p1(sK9(X1)) ),
inference(instantiation,[status(thm)],[c_718]) ).
cnf(c_842,plain,
( ~ r1(sK4,sK9(sK4))
| p1(sK9(sK4)) ),
inference(instantiation,[status(thm)],[c_799]) ).
cnf(c_863,plain,
( ~ r1(X0,sK4)
| ~ r1(sK0,X0)
| r1(sK0,sK4) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_892,plain,
( ~ r1(X0,X1)
| ~ r1(X1,sK3)
| ~ r1(X1,sK4)
| ~ r1(sK0,X0)
| ~ sP8_iProver_split
| r1(sK4,sK9(sK4))
| p1(sK3) ),
inference(instantiation,[status(thm)],[c_761]) ).
cnf(c_1235,plain,
( ~ r1(X0,sK2)
| ~ r1(sK0,X0)
| ~ r1(sK2,sK3)
| ~ r1(sK2,sK4)
| ~ sP8_iProver_split
| r1(sK4,sK9(sK4))
| p1(sK3) ),
inference(instantiation,[status(thm)],[c_892]) ).
cnf(c_1236,plain,
( ~ r1(sK0,sK0)
| ~ r1(sK0,sK2)
| ~ r1(sK2,sK3)
| ~ r1(sK2,sK4)
| ~ sP8_iProver_split
| r1(sK4,sK9(sK4))
| p1(sK3) ),
inference(instantiation,[status(thm)],[c_1235]) ).
cnf(c_1344,plain,
( ~ r1(sK0,sK2)
| ~ r1(sK2,sK4)
| r1(sK0,sK4) ),
inference(instantiation,[status(thm)],[c_863]) ).
cnf(c_1620,plain,
( ~ r1(X0,sK9(X1))
| ~ r1(X2,X0)
| ~ r1(X0,sK4)
| ~ r1(sK0,X2)
| ~ p1(sK9(sK4))
| ~ sP7_iProver_split
| p1(sK9(X1)) ),
inference(instantiation,[status(thm)],[c_803]) ).
cnf(c_1623,plain,
( ~ r1(sK0,sK9(sK0))
| ~ r1(sK0,sK0)
| ~ r1(sK0,sK4)
| ~ p1(sK9(sK4))
| ~ sP7_iProver_split
| p1(sK9(sK0)) ),
inference(instantiation,[status(thm)],[c_1620]) ).
cnf(c_1624,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1623,c_1344,c_1236,c_842,c_760,c_754,c_732,c_721,c_719,c_69,c_51,c_52,c_53,c_54,c_56,c_57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : LCL672+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15 % Command : run_iprover %s %d THM
% 0.14/0.37 % Computer : n020.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Fri Aug 25 07:32:00 EDT 2023
% 0.14/0.37 % CPUTime :
% 0.22/0.46 Running first-order theorem proving
% 0.22/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.75/1.10 % SZS status Started for theBenchmark.p
% 2.75/1.10 % SZS status Theorem for theBenchmark.p
% 2.75/1.10
% 2.75/1.10 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.75/1.10
% 2.75/1.10 ------ iProver source info
% 2.75/1.10
% 2.75/1.10 git: date: 2023-05-31 18:12:56 +0000
% 2.75/1.10 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.75/1.10 git: non_committed_changes: false
% 2.75/1.10 git: last_make_outside_of_git: false
% 2.75/1.10
% 2.75/1.10 ------ Parsing...
% 2.75/1.10 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.75/1.10
% 2.75/1.10 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 2.75/1.10
% 2.75/1.10 ------ Preprocessing... gs_s sp: 18 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.75/1.10 ------ Proving...
% 2.75/1.10 ------ Problem Properties
% 2.75/1.10
% 2.75/1.10
% 2.75/1.10 clauses 29
% 2.75/1.10 conjectures 8
% 2.75/1.10 EPR 20
% 2.75/1.10 Horn 17
% 2.75/1.10 unary 8
% 2.75/1.10 binary 10
% 2.75/1.10 lits 87
% 2.75/1.10 lits eq 0
% 2.75/1.10 fd_pure 0
% 2.75/1.10 fd_pseudo 0
% 2.75/1.10 fd_cond 0
% 2.75/1.10 fd_pseudo_cond 0
% 2.75/1.10 AC symbols 0
% 2.75/1.10
% 2.75/1.10 ------ Schedule dynamic 5 is on
% 2.75/1.10
% 2.75/1.10 ------ no equalities: superposition off
% 2.75/1.10
% 2.75/1.10 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.75/1.10
% 2.75/1.10
% 2.75/1.10 ------
% 2.75/1.10 Current options:
% 2.75/1.10 ------
% 2.75/1.10
% 2.75/1.10
% 2.75/1.10
% 2.75/1.10
% 2.75/1.10 ------ Proving...
% 2.75/1.10
% 2.75/1.10
% 2.75/1.10 % SZS status Theorem for theBenchmark.p
% 2.75/1.10
% 2.75/1.10 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.75/1.10
% 2.75/1.10
%------------------------------------------------------------------------------