TSTP Solution File: LCL681+1.005 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LCL681+1.005 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n001.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 07:49:43 EDT 2023
% Result : CounterSatisfiable 1.43s 1.14s
% Output : Saturation 1.43s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
fof(f2,axiom,
! [X0,X1,X2] :
( ( r1(X1,X2)
& r1(X0,X1) )
=> r1(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity) ).
fof(f3,conjecture,
~ ? [X0] :
~ ( p1(X0)
| ( ~ p1(X0)
& ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ p1(X0)
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ p1(X1)
& ~ ! [X0] :
( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ p1(X0)
& ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ p1(X0)
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ p1(X1)
& ~ ! [X0] :
( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(f4,negated_conjecture,
~ ~ ? [X0] :
~ ( p1(X0)
| ( ~ p1(X0)
& ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ p1(X0)
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ p1(X1)
& ~ ! [X0] :
( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ p1(X0)
& ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ p1(X0)
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ p1(X1)
& ~ ! [X0] :
( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) ),
inference(negated_conjecture,[],[f3]) ).
fof(f5,plain,
~ ~ ? [X0] :
~ ( p1(X0)
| ( ~ p1(X0)
& ~ ! [X1] :
( ~ ! [X2] :
( ~ ! [X3] :
( ~ ( ~ ! [X4] :
( ~ ( ~ ! [X5] :
( ~ ( ~ ! [X6] :
( ~ p1(X6)
| ~ r1(X5,X6) )
| p2(X5) )
| ~ r1(X4,X5) )
| p2(X4) )
| ~ r1(X3,X4) )
| p2(X3) )
| ~ r1(X2,X3) )
| p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) )
| ~ ! [X7] :
( ~ ! [X8] :
( ~ ! [X9] :
( ~ ( ~ ! [X10] :
( ~ ( ~ ! [X11] :
( ~ ( ~ p1(X11)
& ~ ! [X12] :
( ~ ! [X13] :
( ~ ! [X14] :
( ~ ( ~ ! [X15] :
( ~ ( ~ ! [X16] :
( ~ ( ~ ! [X17] :
( ~ p1(X17)
| ~ r1(X16,X17) )
| p2(X16) )
| ~ r1(X15,X16) )
| p2(X15) )
| ~ r1(X14,X15) )
| p2(X14) )
| ~ r1(X13,X14) )
| p2(X13)
| ~ r1(X12,X13) )
| ~ r1(X11,X12) ) )
| ~ r1(X10,X11) )
| p2(X10) )
| ~ r1(X9,X10) )
| p2(X9) )
| ~ r1(X8,X9) )
| p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X0,X7) )
| p2(X0)
| ~ ! [X18] :
( ~ ( ~ ! [X19] :
( ~ ! [X20] :
( ~ ! [X21] :
( ~ ( ~ ! [X22] :
( ~ ( ~ ! [X23] :
( ~ ! [X24] :
( ~ ! [X25] :
( ~ ( ~ ! [X26] :
( ~ ( ~ ! [X27] :
( ~ ( ~ p1(X27)
& ~ ! [X28] :
( ~ ! [X29] :
( ~ ! [X30] :
( ~ ( ~ ! [X31] :
( ~ ( ~ ! [X32] :
( ~ ( ~ ! [X33] :
( ~ p1(X33)
| ~ r1(X32,X33) )
| p2(X32) )
| ~ r1(X31,X32) )
| p2(X31) )
| ~ r1(X30,X31) )
| p2(X30) )
| ~ r1(X29,X30) )
| p2(X29)
| ~ r1(X28,X29) )
| ~ r1(X27,X28) ) )
| ~ r1(X26,X27) )
| p2(X26) )
| ~ r1(X25,X26) )
| p2(X25) )
| ~ r1(X24,X25) )
| p2(X24)
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
| p2(X22) )
| ~ r1(X21,X22) )
| p2(X21) )
| ~ r1(X20,X21) )
| p2(X20)
| ~ r1(X19,X20) )
| ~ r1(X18,X19) )
| p2(X18) )
| ~ r1(X0,X18) )
| p2(X0)
| ~ ! [X34] :
( ~ ( ~ ! [X35] :
( ~ ( ~ ! [X36] :
( ~ ! [X37] :
( ~ ! [X38] :
( ~ ( ~ ! [X39] :
( ~ ( ~ ! [X40] :
( ~ ! [X41] :
( ~ ! [X42] :
( ~ ( ~ ! [X43] :
( ~ ( ~ ! [X44] :
( ~ ! [X45] :
( ~ ! [X46] :
( ~ ( ~ ! [X47] :
( ~ ( ~ ! [X48] :
( ~ ( ~ p1(X48)
& ~ ! [X49] :
( ~ ! [X50] :
( ~ ! [X51] :
( ~ ( ~ ! [X52] :
( ~ ( ~ ! [X53] :
( ~ ( ~ ! [X54] :
( ~ p1(X54)
| ~ r1(X53,X54) )
| p2(X53) )
| ~ r1(X52,X53) )
| p2(X52) )
| ~ r1(X51,X52) )
| p2(X51) )
| ~ r1(X50,X51) )
| p2(X50)
| ~ r1(X49,X50) )
| ~ r1(X48,X49) ) )
| ~ r1(X47,X48) )
| p2(X47) )
| ~ r1(X46,X47) )
| p2(X46) )
| ~ r1(X45,X46) )
| p2(X45)
| ~ r1(X44,X45) )
| ~ r1(X43,X44) )
| p2(X43) )
| ~ r1(X42,X43) )
| p2(X42) )
| ~ r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X39,X40) )
| p2(X39) )
| ~ r1(X38,X39) )
| p2(X38) )
| ~ r1(X37,X38) )
| p2(X37)
| ~ r1(X36,X37) )
| ~ r1(X35,X36) )
| p2(X35) )
| ~ r1(X34,X35) )
| p2(X34) )
| ~ r1(X0,X34) )
| p2(X0) ),
inference(rectify,[],[f4]) ).
fof(f6,plain,
? [X0] :
~ ( p1(X0)
| ( ~ p1(X0)
& ~ ! [X1] :
( ~ ! [X2] :
( ~ ! [X3] :
( ~ ( ~ ! [X4] :
( ~ ( ~ ! [X5] :
( ~ ( ~ ! [X6] :
( ~ p1(X6)
| ~ r1(X5,X6) )
| p2(X5) )
| ~ r1(X4,X5) )
| p2(X4) )
| ~ r1(X3,X4) )
| p2(X3) )
| ~ r1(X2,X3) )
| p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) )
| ~ ! [X7] :
( ~ ! [X8] :
( ~ ! [X9] :
( ~ ( ~ ! [X10] :
( ~ ( ~ ! [X11] :
( ~ ( ~ p1(X11)
& ~ ! [X12] :
( ~ ! [X13] :
( ~ ! [X14] :
( ~ ( ~ ! [X15] :
( ~ ( ~ ! [X16] :
( ~ ( ~ ! [X17] :
( ~ p1(X17)
| ~ r1(X16,X17) )
| p2(X16) )
| ~ r1(X15,X16) )
| p2(X15) )
| ~ r1(X14,X15) )
| p2(X14) )
| ~ r1(X13,X14) )
| p2(X13)
| ~ r1(X12,X13) )
| ~ r1(X11,X12) ) )
| ~ r1(X10,X11) )
| p2(X10) )
| ~ r1(X9,X10) )
| p2(X9) )
| ~ r1(X8,X9) )
| p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X0,X7) )
| p2(X0)
| ~ ! [X18] :
( ~ ( ~ ! [X19] :
( ~ ! [X20] :
( ~ ! [X21] :
( ~ ( ~ ! [X22] :
( ~ ( ~ ! [X23] :
( ~ ! [X24] :
( ~ ! [X25] :
( ~ ( ~ ! [X26] :
( ~ ( ~ ! [X27] :
( ~ ( ~ p1(X27)
& ~ ! [X28] :
( ~ ! [X29] :
( ~ ! [X30] :
( ~ ( ~ ! [X31] :
( ~ ( ~ ! [X32] :
( ~ ( ~ ! [X33] :
( ~ p1(X33)
| ~ r1(X32,X33) )
| p2(X32) )
| ~ r1(X31,X32) )
| p2(X31) )
| ~ r1(X30,X31) )
| p2(X30) )
| ~ r1(X29,X30) )
| p2(X29)
| ~ r1(X28,X29) )
| ~ r1(X27,X28) ) )
| ~ r1(X26,X27) )
| p2(X26) )
| ~ r1(X25,X26) )
| p2(X25) )
| ~ r1(X24,X25) )
| p2(X24)
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
| p2(X22) )
| ~ r1(X21,X22) )
| p2(X21) )
| ~ r1(X20,X21) )
| p2(X20)
| ~ r1(X19,X20) )
| ~ r1(X18,X19) )
| p2(X18) )
| ~ r1(X0,X18) )
| p2(X0)
| ~ ! [X34] :
( ~ ( ~ ! [X35] :
( ~ ( ~ ! [X36] :
( ~ ! [X37] :
( ~ ! [X38] :
( ~ ( ~ ! [X39] :
( ~ ( ~ ! [X40] :
( ~ ! [X41] :
( ~ ! [X42] :
( ~ ( ~ ! [X43] :
( ~ ( ~ ! [X44] :
( ~ ! [X45] :
( ~ ! [X46] :
( ~ ( ~ ! [X47] :
( ~ ( ~ ! [X48] :
( ~ ( ~ p1(X48)
& ~ ! [X49] :
( ~ ! [X50] :
( ~ ! [X51] :
( ~ ( ~ ! [X52] :
( ~ ( ~ ! [X53] :
( ~ ( ~ ! [X54] :
( ~ p1(X54)
| ~ r1(X53,X54) )
| p2(X53) )
| ~ r1(X52,X53) )
| p2(X52) )
| ~ r1(X51,X52) )
| p2(X51) )
| ~ r1(X50,X51) )
| p2(X50)
| ~ r1(X49,X50) )
| ~ r1(X48,X49) ) )
| ~ r1(X47,X48) )
| p2(X47) )
| ~ r1(X46,X47) )
| p2(X46) )
| ~ r1(X45,X46) )
| p2(X45)
| ~ r1(X44,X45) )
| ~ r1(X43,X44) )
| p2(X43) )
| ~ r1(X42,X43) )
| p2(X42) )
| ~ r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X39,X40) )
| p2(X39) )
| ~ r1(X38,X39) )
| p2(X38) )
| ~ r1(X37,X38) )
| p2(X37)
| ~ r1(X36,X37) )
| ~ r1(X35,X36) )
| p2(X35) )
| ~ r1(X34,X35) )
| p2(X34) )
| ~ r1(X0,X34) )
| p2(X0) ),
inference(flattening,[],[f5]) ).
fof(f7,plain,
? [X0] :
~ ( p1(X0)
| ( ~ p1(X0)
& ~ ! [X1] :
( ~ ! [X2] :
( ~ ! [X3] :
( ~ ~ ! [X4] :
( ~ ~ ! [X5] :
( ~ ~ ! [X6] :
( ~ p1(X6)
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) )
| ~ ! [X7] :
( ~ ! [X8] :
( ~ ! [X9] :
( ~ ~ ! [X10] :
( ~ ~ ! [X11] :
( ~ ( ~ p1(X11)
& ~ ! [X12] :
( ~ ! [X13] :
( ~ ! [X14] :
( ~ ~ ! [X15] :
( ~ ~ ! [X16] :
( ~ ~ ! [X17] :
( ~ p1(X17)
| ~ r1(X16,X17) )
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| ~ r1(X12,X13) )
| ~ r1(X11,X12) ) )
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X0,X7) )
| ~ ! [X18] :
( ~ ~ ! [X19] :
( ~ ! [X20] :
( ~ ! [X21] :
( ~ ~ ! [X22] :
( ~ ~ ! [X23] :
( ~ ! [X24] :
( ~ ! [X25] :
( ~ ~ ! [X26] :
( ~ ~ ! [X27] :
( ~ ( ~ p1(X27)
& ~ ! [X28] :
( ~ ! [X29] :
( ~ ! [X30] :
( ~ ~ ! [X31] :
( ~ ~ ! [X32] :
( ~ ~ ! [X33] :
( ~ p1(X33)
| ~ r1(X32,X33) )
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| ~ r1(X27,X28) ) )
| ~ r1(X26,X27) )
| ~ r1(X25,X26) )
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
| ~ r1(X21,X22) )
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X0,X18) )
| ~ ! [X34] :
( ~ ~ ! [X35] :
( ~ ~ ! [X36] :
( ~ ! [X37] :
( ~ ! [X38] :
( ~ ~ ! [X39] :
( ~ ~ ! [X40] :
( ~ ! [X41] :
( ~ ! [X42] :
( ~ ~ ! [X43] :
( ~ ~ ! [X44] :
( ~ ! [X45] :
( ~ ! [X46] :
( ~ ~ ! [X47] :
( ~ ~ ! [X48] :
( ~ ( ~ p1(X48)
& ~ ! [X49] :
( ~ ! [X50] :
( ~ ! [X51] :
( ~ ~ ! [X52] :
( ~ ~ ! [X53] :
( ~ ~ ! [X54] :
( ~ p1(X54)
| ~ r1(X53,X54) )
| ~ r1(X52,X53) )
| ~ r1(X51,X52) )
| ~ r1(X50,X51) )
| ~ r1(X49,X50) )
| ~ r1(X48,X49) ) )
| ~ r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(X45,X46) )
| ~ r1(X44,X45) )
| ~ r1(X43,X44) )
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
| ~ r1(X40,X41) )
| ~ r1(X39,X40) )
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| ~ r1(X36,X37) )
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
| ~ r1(X0,X34) ) ),
inference(pure_predicate_removal,[],[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] :
( ~ p1(X0)
& ( p1(X0)
| ! [X1] :
( ? [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ p1(X6)
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& r1(X1,X2) )
| ~ r1(X0,X1) ) )
& ! [X7] :
( ? [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( p1(X11)
| ! [X12] :
( ? [X13] :
( ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ~ p1(X17)
| ~ r1(X16,X17) )
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
& r1(X12,X13) )
| ~ r1(X11,X12) )
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
& r1(X7,X8) )
| ~ r1(X0,X7) )
& ! [X18] :
( ! [X19] :
( ? [X20] :
( ! [X21] :
( ! [X22] :
( ! [X23] :
( ? [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( p1(X27)
| ! [X28] :
( ? [X29] :
( ! [X30] :
( ! [X31] :
( ! [X32] :
( ! [X33] :
( ~ p1(X33)
| ~ r1(X32,X33) )
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
& r1(X28,X29) )
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
| ~ r1(X25,X26) )
| ~ r1(X24,X25) )
& r1(X23,X24) )
| ~ r1(X22,X23) )
| ~ r1(X21,X22) )
| ~ r1(X20,X21) )
& r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X0,X18) )
& ! [X34] :
( ! [X35] :
( ! [X36] :
( ? [X37] :
( ! [X38] :
( ! [X39] :
( ! [X40] :
( ? [X41] :
( ! [X42] :
( ! [X43] :
( ! [X44] :
( ? [X45] :
( ! [X46] :
( ! [X47] :
( ! [X48] :
( p1(X48)
| ! [X49] :
( ? [X50] :
( ! [X51] :
( ! [X52] :
( ! [X53] :
( ! [X54] :
( ~ p1(X54)
| ~ r1(X53,X54) )
| ~ r1(X52,X53) )
| ~ r1(X51,X52) )
| ~ r1(X50,X51) )
& r1(X49,X50) )
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(X45,X46) )
& r1(X44,X45) )
| ~ r1(X43,X44) )
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
& r1(X40,X41) )
| ~ r1(X39,X40) )
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
& r1(X36,X37) )
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
| ~ r1(X0,X34) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f11,plain,
? [X0] :
( ~ p1(X0)
& ( p1(X0)
| ! [X1] :
( ? [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ p1(X6)
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& r1(X1,X2) )
| ~ r1(X0,X1) ) )
& ! [X7] :
( ? [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( p1(X11)
| ! [X12] :
( ? [X13] :
( ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ~ p1(X17)
| ~ r1(X16,X17) )
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
& r1(X12,X13) )
| ~ r1(X11,X12) )
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
& r1(X7,X8) )
| ~ r1(X0,X7) )
& ! [X18] :
( ! [X19] :
( ? [X20] :
( ! [X21] :
( ! [X22] :
( ! [X23] :
( ? [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( p1(X27)
| ! [X28] :
( ? [X29] :
( ! [X30] :
( ! [X31] :
( ! [X32] :
( ! [X33] :
( ~ p1(X33)
| ~ r1(X32,X33) )
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
& r1(X28,X29) )
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
| ~ r1(X25,X26) )
| ~ r1(X24,X25) )
& r1(X23,X24) )
| ~ r1(X22,X23) )
| ~ r1(X21,X22) )
| ~ r1(X20,X21) )
& r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X0,X18) )
& ! [X34] :
( ! [X35] :
( ! [X36] :
( ? [X37] :
( ! [X38] :
( ! [X39] :
( ! [X40] :
( ? [X41] :
( ! [X42] :
( ! [X43] :
( ! [X44] :
( ? [X45] :
( ! [X46] :
( ! [X47] :
( ! [X48] :
( p1(X48)
| ! [X49] :
( ? [X50] :
( ! [X51] :
( ! [X52] :
( ! [X53] :
( ! [X54] :
( ~ p1(X54)
| ~ r1(X53,X54) )
| ~ r1(X52,X53) )
| ~ r1(X51,X52) )
| ~ r1(X50,X51) )
& r1(X49,X50) )
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(X45,X46) )
& r1(X44,X45) )
| ~ r1(X43,X44) )
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
& r1(X40,X41) )
| ~ r1(X39,X40) )
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
& r1(X36,X37) )
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
| ~ r1(X0,X34) ) ),
inference(flattening,[],[f10]) ).
fof(f12,plain,
( ? [X0] :
( ~ p1(X0)
& ( p1(X0)
| ! [X1] :
( ? [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ p1(X6)
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& r1(X1,X2) )
| ~ r1(X0,X1) ) )
& ! [X7] :
( ? [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( p1(X11)
| ! [X12] :
( ? [X13] :
( ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ~ p1(X17)
| ~ r1(X16,X17) )
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
& r1(X12,X13) )
| ~ r1(X11,X12) )
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
& r1(X7,X8) )
| ~ r1(X0,X7) )
& ! [X18] :
( ! [X19] :
( ? [X20] :
( ! [X21] :
( ! [X22] :
( ! [X23] :
( ? [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( p1(X27)
| ! [X28] :
( ? [X29] :
( ! [X30] :
( ! [X31] :
( ! [X32] :
( ! [X33] :
( ~ p1(X33)
| ~ r1(X32,X33) )
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
& r1(X28,X29) )
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
| ~ r1(X25,X26) )
| ~ r1(X24,X25) )
& r1(X23,X24) )
| ~ r1(X22,X23) )
| ~ r1(X21,X22) )
| ~ r1(X20,X21) )
& r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X0,X18) )
& ! [X34] :
( ! [X35] :
( ! [X36] :
( ? [X37] :
( ! [X38] :
( ! [X39] :
( ! [X40] :
( ? [X41] :
( ! [X42] :
( ! [X43] :
( ! [X44] :
( ? [X45] :
( ! [X46] :
( ! [X47] :
( ! [X48] :
( p1(X48)
| ! [X49] :
( ? [X50] :
( ! [X51] :
( ! [X52] :
( ! [X53] :
( ! [X54] :
( ~ p1(X54)
| ~ r1(X53,X54) )
| ~ r1(X52,X53) )
| ~ r1(X51,X52) )
| ~ r1(X50,X51) )
& r1(X49,X50) )
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(X45,X46) )
& r1(X44,X45) )
| ~ r1(X43,X44) )
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
& r1(X40,X41) )
| ~ r1(X39,X40) )
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
& r1(X36,X37) )
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
| ~ r1(X0,X34) ) )
=> ( ~ p1(sK0)
& ( p1(sK0)
| ! [X1] :
( ? [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ p1(X6)
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& r1(X1,X2) )
| ~ r1(sK0,X1) ) )
& ! [X7] :
( ? [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( p1(X11)
| ! [X12] :
( ? [X13] :
( ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ~ p1(X17)
| ~ r1(X16,X17) )
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
& r1(X12,X13) )
| ~ r1(X11,X12) )
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
& r1(X7,X8) )
| ~ r1(sK0,X7) )
& ! [X18] :
( ! [X19] :
( ? [X20] :
( ! [X21] :
( ! [X22] :
( ! [X23] :
( ? [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( p1(X27)
| ! [X28] :
( ? [X29] :
( ! [X30] :
( ! [X31] :
( ! [X32] :
( ! [X33] :
( ~ p1(X33)
| ~ r1(X32,X33) )
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
& r1(X28,X29) )
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
| ~ r1(X25,X26) )
| ~ r1(X24,X25) )
& r1(X23,X24) )
| ~ r1(X22,X23) )
| ~ r1(X21,X22) )
| ~ r1(X20,X21) )
& r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(sK0,X18) )
& ! [X34] :
( ! [X35] :
( ! [X36] :
( ? [X37] :
( ! [X38] :
( ! [X39] :
( ! [X40] :
( ? [X41] :
( ! [X42] :
( ! [X43] :
( ! [X44] :
( ? [X45] :
( ! [X46] :
( ! [X47] :
( ! [X48] :
( p1(X48)
| ! [X49] :
( ? [X50] :
( ! [X51] :
( ! [X52] :
( ! [X53] :
( ! [X54] :
( ~ p1(X54)
| ~ r1(X53,X54) )
| ~ r1(X52,X53) )
| ~ r1(X51,X52) )
| ~ r1(X50,X51) )
& r1(X49,X50) )
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(X45,X46) )
& r1(X44,X45) )
| ~ r1(X43,X44) )
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
& r1(X40,X41) )
| ~ r1(X39,X40) )
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
& r1(X36,X37) )
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
| ~ r1(sK0,X34) ) ) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
! [X1] :
( ? [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ p1(X6)
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& r1(X1,X2) )
=> ( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ p1(X6)
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(sK1(X1),X3) )
& r1(X1,sK1(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
! [X7] :
( ? [X8] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( p1(X11)
| ! [X12] :
( ? [X13] :
( ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ~ p1(X17)
| ~ r1(X16,X17) )
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
& r1(X12,X13) )
| ~ r1(X11,X12) )
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
& r1(X7,X8) )
=> ( ! [X9] :
( ! [X10] :
( ! [X11] :
( p1(X11)
| ! [X12] :
( ? [X13] :
( ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ~ p1(X17)
| ~ r1(X16,X17) )
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
& r1(X12,X13) )
| ~ r1(X11,X12) )
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
| ~ r1(sK2(X7),X9) )
& r1(X7,sK2(X7)) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
! [X12] :
( ? [X13] :
( ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ~ p1(X17)
| ~ r1(X16,X17) )
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
& r1(X12,X13) )
=> ( ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ~ p1(X17)
| ~ r1(X16,X17) )
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
| ~ r1(sK3(X12),X14) )
& r1(X12,sK3(X12)) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
! [X19] :
( ? [X20] :
( ! [X21] :
( ! [X22] :
( ! [X23] :
( ? [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( p1(X27)
| ! [X28] :
( ? [X29] :
( ! [X30] :
( ! [X31] :
( ! [X32] :
( ! [X33] :
( ~ p1(X33)
| ~ r1(X32,X33) )
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
& r1(X28,X29) )
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
| ~ r1(X25,X26) )
| ~ r1(X24,X25) )
& r1(X23,X24) )
| ~ r1(X22,X23) )
| ~ r1(X21,X22) )
| ~ r1(X20,X21) )
& r1(X19,X20) )
=> ( ! [X21] :
( ! [X22] :
( ! [X23] :
( ? [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( p1(X27)
| ! [X28] :
( ? [X29] :
( ! [X30] :
( ! [X31] :
( ! [X32] :
( ! [X33] :
( ~ p1(X33)
| ~ r1(X32,X33) )
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
& r1(X28,X29) )
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
| ~ r1(X25,X26) )
| ~ r1(X24,X25) )
& r1(X23,X24) )
| ~ r1(X22,X23) )
| ~ r1(X21,X22) )
| ~ r1(sK4(X19),X21) )
& r1(X19,sK4(X19)) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
! [X23] :
( ? [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( p1(X27)
| ! [X28] :
( ? [X29] :
( ! [X30] :
( ! [X31] :
( ! [X32] :
( ! [X33] :
( ~ p1(X33)
| ~ r1(X32,X33) )
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
& r1(X28,X29) )
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
| ~ r1(X25,X26) )
| ~ r1(X24,X25) )
& r1(X23,X24) )
=> ( ! [X25] :
( ! [X26] :
( ! [X27] :
( p1(X27)
| ! [X28] :
( ? [X29] :
( ! [X30] :
( ! [X31] :
( ! [X32] :
( ! [X33] :
( ~ p1(X33)
| ~ r1(X32,X33) )
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
& r1(X28,X29) )
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
| ~ r1(X25,X26) )
| ~ r1(sK5(X23),X25) )
& r1(X23,sK5(X23)) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
! [X28] :
( ? [X29] :
( ! [X30] :
( ! [X31] :
( ! [X32] :
( ! [X33] :
( ~ p1(X33)
| ~ r1(X32,X33) )
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
& r1(X28,X29) )
=> ( ! [X30] :
( ! [X31] :
( ! [X32] :
( ! [X33] :
( ~ p1(X33)
| ~ r1(X32,X33) )
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(sK6(X28),X30) )
& r1(X28,sK6(X28)) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
! [X36] :
( ? [X37] :
( ! [X38] :
( ! [X39] :
( ! [X40] :
( ? [X41] :
( ! [X42] :
( ! [X43] :
( ! [X44] :
( ? [X45] :
( ! [X46] :
( ! [X47] :
( ! [X48] :
( p1(X48)
| ! [X49] :
( ? [X50] :
( ! [X51] :
( ! [X52] :
( ! [X53] :
( ! [X54] :
( ~ p1(X54)
| ~ r1(X53,X54) )
| ~ r1(X52,X53) )
| ~ r1(X51,X52) )
| ~ r1(X50,X51) )
& r1(X49,X50) )
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(X45,X46) )
& r1(X44,X45) )
| ~ r1(X43,X44) )
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
& r1(X40,X41) )
| ~ r1(X39,X40) )
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
& r1(X36,X37) )
=> ( ! [X38] :
( ! [X39] :
( ! [X40] :
( ? [X41] :
( ! [X42] :
( ! [X43] :
( ! [X44] :
( ? [X45] :
( ! [X46] :
( ! [X47] :
( ! [X48] :
( p1(X48)
| ! [X49] :
( ? [X50] :
( ! [X51] :
( ! [X52] :
( ! [X53] :
( ! [X54] :
( ~ p1(X54)
| ~ r1(X53,X54) )
| ~ r1(X52,X53) )
| ~ r1(X51,X52) )
| ~ r1(X50,X51) )
& r1(X49,X50) )
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(X45,X46) )
& r1(X44,X45) )
| ~ r1(X43,X44) )
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
& r1(X40,X41) )
| ~ r1(X39,X40) )
| ~ r1(X38,X39) )
| ~ r1(sK7(X36),X38) )
& r1(X36,sK7(X36)) ) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
! [X40] :
( ? [X41] :
( ! [X42] :
( ! [X43] :
( ! [X44] :
( ? [X45] :
( ! [X46] :
( ! [X47] :
( ! [X48] :
( p1(X48)
| ! [X49] :
( ? [X50] :
( ! [X51] :
( ! [X52] :
( ! [X53] :
( ! [X54] :
( ~ p1(X54)
| ~ r1(X53,X54) )
| ~ r1(X52,X53) )
| ~ r1(X51,X52) )
| ~ r1(X50,X51) )
& r1(X49,X50) )
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(X45,X46) )
& r1(X44,X45) )
| ~ r1(X43,X44) )
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
& r1(X40,X41) )
=> ( ! [X42] :
( ! [X43] :
( ! [X44] :
( ? [X45] :
( ! [X46] :
( ! [X47] :
( ! [X48] :
( p1(X48)
| ! [X49] :
( ? [X50] :
( ! [X51] :
( ! [X52] :
( ! [X53] :
( ! [X54] :
( ~ p1(X54)
| ~ r1(X53,X54) )
| ~ r1(X52,X53) )
| ~ r1(X51,X52) )
| ~ r1(X50,X51) )
& r1(X49,X50) )
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(X45,X46) )
& r1(X44,X45) )
| ~ r1(X43,X44) )
| ~ r1(X42,X43) )
| ~ r1(sK8(X40),X42) )
& r1(X40,sK8(X40)) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
! [X44] :
( ? [X45] :
( ! [X46] :
( ! [X47] :
( ! [X48] :
( p1(X48)
| ! [X49] :
( ? [X50] :
( ! [X51] :
( ! [X52] :
( ! [X53] :
( ! [X54] :
( ~ p1(X54)
| ~ r1(X53,X54) )
| ~ r1(X52,X53) )
| ~ r1(X51,X52) )
| ~ r1(X50,X51) )
& r1(X49,X50) )
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(X45,X46) )
& r1(X44,X45) )
=> ( ! [X46] :
( ! [X47] :
( ! [X48] :
( p1(X48)
| ! [X49] :
( ? [X50] :
( ! [X51] :
( ! [X52] :
( ! [X53] :
( ! [X54] :
( ~ p1(X54)
| ~ r1(X53,X54) )
| ~ r1(X52,X53) )
| ~ r1(X51,X52) )
| ~ r1(X50,X51) )
& r1(X49,X50) )
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(sK9(X44),X46) )
& r1(X44,sK9(X44)) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
! [X49] :
( ? [X50] :
( ! [X51] :
( ! [X52] :
( ! [X53] :
( ! [X54] :
( ~ p1(X54)
| ~ r1(X53,X54) )
| ~ r1(X52,X53) )
| ~ r1(X51,X52) )
| ~ r1(X50,X51) )
& r1(X49,X50) )
=> ( ! [X51] :
( ! [X52] :
( ! [X53] :
( ! [X54] :
( ~ p1(X54)
| ~ r1(X53,X54) )
| ~ r1(X52,X53) )
| ~ r1(X51,X52) )
| ~ r1(sK10(X49),X51) )
& r1(X49,sK10(X49)) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
( ~ p1(sK0)
& ( p1(sK0)
| ! [X1] :
( ( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ p1(X6)
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(sK1(X1),X3) )
& r1(X1,sK1(X1)) )
| ~ r1(sK0,X1) ) )
& ! [X7] :
( ( ! [X9] :
( ! [X10] :
( ! [X11] :
( p1(X11)
| ! [X12] :
( ( ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ~ p1(X17)
| ~ r1(X16,X17) )
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
| ~ r1(sK3(X12),X14) )
& r1(X12,sK3(X12)) )
| ~ r1(X11,X12) )
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
| ~ r1(sK2(X7),X9) )
& r1(X7,sK2(X7)) )
| ~ r1(sK0,X7) )
& ! [X18] :
( ! [X19] :
( ( ! [X21] :
( ! [X22] :
( ! [X23] :
( ( ! [X25] :
( ! [X26] :
( ! [X27] :
( p1(X27)
| ! [X28] :
( ( ! [X30] :
( ! [X31] :
( ! [X32] :
( ! [X33] :
( ~ p1(X33)
| ~ r1(X32,X33) )
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(sK6(X28),X30) )
& r1(X28,sK6(X28)) )
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
| ~ r1(X25,X26) )
| ~ r1(sK5(X23),X25) )
& r1(X23,sK5(X23)) )
| ~ r1(X22,X23) )
| ~ r1(X21,X22) )
| ~ r1(sK4(X19),X21) )
& r1(X19,sK4(X19)) )
| ~ r1(X18,X19) )
| ~ r1(sK0,X18) )
& ! [X34] :
( ! [X35] :
( ! [X36] :
( ( ! [X38] :
( ! [X39] :
( ! [X40] :
( ( ! [X42] :
( ! [X43] :
( ! [X44] :
( ( ! [X46] :
( ! [X47] :
( ! [X48] :
( p1(X48)
| ! [X49] :
( ( ! [X51] :
( ! [X52] :
( ! [X53] :
( ! [X54] :
( ~ p1(X54)
| ~ r1(X53,X54) )
| ~ r1(X52,X53) )
| ~ r1(X51,X52) )
| ~ r1(sK10(X49),X51) )
& r1(X49,sK10(X49)) )
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(sK9(X44),X46) )
& r1(X44,sK9(X44)) )
| ~ r1(X43,X44) )
| ~ r1(X42,X43) )
| ~ r1(sK8(X40),X42) )
& r1(X40,sK8(X40)) )
| ~ r1(X39,X40) )
| ~ r1(X38,X39) )
| ~ r1(sK7(X36),X38) )
& r1(X36,sK7(X36)) )
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
| ~ r1(sK0,X34) ) ),
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(f26,plain,
! [X36,X34,X35] :
( r1(X36,sK7(X36))
| ~ r1(X35,X36)
| ~ r1(X34,X35)
| ~ r1(sK0,X34) ),
inference(cnf_transformation,[],[f23]) ).
fof(f27,plain,
! [X40,X38,X39,X36,X34,X35] :
( r1(X40,sK8(X40))
| ~ r1(X39,X40)
| ~ r1(X38,X39)
| ~ r1(sK7(X36),X38)
| ~ r1(X35,X36)
| ~ r1(X34,X35)
| ~ r1(sK0,X34) ),
inference(cnf_transformation,[],[f23]) ).
fof(f28,plain,
! [X40,X38,X39,X36,X44,X34,X35,X42,X43] :
( r1(X44,sK9(X44))
| ~ r1(X43,X44)
| ~ r1(X42,X43)
| ~ r1(sK8(X40),X42)
| ~ r1(X39,X40)
| ~ r1(X38,X39)
| ~ r1(sK7(X36),X38)
| ~ r1(X35,X36)
| ~ r1(X34,X35)
| ~ r1(sK0,X34) ),
inference(cnf_transformation,[],[f23]) ).
fof(f29,plain,
! [X40,X38,X48,X46,X49,X39,X36,X47,X44,X34,X35,X42,X43] :
( p1(X48)
| r1(X49,sK10(X49))
| ~ r1(X48,X49)
| ~ r1(X47,X48)
| ~ r1(X46,X47)
| ~ r1(sK9(X44),X46)
| ~ r1(X43,X44)
| ~ r1(X42,X43)
| ~ r1(sK8(X40),X42)
| ~ r1(X39,X40)
| ~ r1(X38,X39)
| ~ r1(sK7(X36),X38)
| ~ r1(X35,X36)
| ~ r1(X34,X35)
| ~ r1(sK0,X34) ),
inference(cnf_transformation,[],[f23]) ).
fof(f30,plain,
! [X40,X51,X38,X48,X46,X49,X39,X36,X47,X54,X44,X52,X34,X53,X35,X42,X43] :
( p1(X48)
| ~ p1(X54)
| ~ r1(X53,X54)
| ~ r1(X52,X53)
| ~ r1(X51,X52)
| ~ r1(sK10(X49),X51)
| ~ r1(X48,X49)
| ~ r1(X47,X48)
| ~ r1(X46,X47)
| ~ r1(sK9(X44),X46)
| ~ r1(X43,X44)
| ~ r1(X42,X43)
| ~ r1(sK8(X40),X42)
| ~ r1(X39,X40)
| ~ r1(X38,X39)
| ~ r1(sK7(X36),X38)
| ~ r1(X35,X36)
| ~ r1(X34,X35)
| ~ r1(sK0,X34) ),
inference(cnf_transformation,[],[f23]) ).
fof(f31,plain,
! [X18,X19] :
( r1(X19,sK4(X19))
| ~ r1(X18,X19)
| ~ r1(sK0,X18) ),
inference(cnf_transformation,[],[f23]) ).
fof(f32,plain,
! [X21,X18,X19,X22,X23] :
( r1(X23,sK5(X23))
| ~ r1(X22,X23)
| ~ r1(X21,X22)
| ~ r1(sK4(X19),X21)
| ~ r1(X18,X19)
| ~ r1(sK0,X18) ),
inference(cnf_transformation,[],[f23]) ).
fof(f33,plain,
! [X21,X28,X18,X19,X26,X27,X22,X25,X23] :
( p1(X27)
| r1(X28,sK6(X28))
| ~ r1(X27,X28)
| ~ r1(X26,X27)
| ~ r1(X25,X26)
| ~ r1(sK5(X23),X25)
| ~ r1(X22,X23)
| ~ r1(X21,X22)
| ~ r1(sK4(X19),X21)
| ~ r1(X18,X19)
| ~ r1(sK0,X18) ),
inference(cnf_transformation,[],[f23]) ).
fof(f34,plain,
! [X31,X21,X28,X18,X19,X26,X27,X22,X25,X32,X30,X33,X23] :
( p1(X27)
| ~ p1(X33)
| ~ r1(X32,X33)
| ~ r1(X31,X32)
| ~ r1(X30,X31)
| ~ r1(sK6(X28),X30)
| ~ r1(X27,X28)
| ~ r1(X26,X27)
| ~ r1(X25,X26)
| ~ r1(sK5(X23),X25)
| ~ r1(X22,X23)
| ~ r1(X21,X22)
| ~ r1(sK4(X19),X21)
| ~ r1(X18,X19)
| ~ r1(sK0,X18) ),
inference(cnf_transformation,[],[f23]) ).
fof(f35,plain,
! [X7] :
( r1(X7,sK2(X7))
| ~ r1(sK0,X7) ),
inference(cnf_transformation,[],[f23]) ).
fof(f36,plain,
! [X10,X11,X9,X7,X12] :
( p1(X11)
| r1(X12,sK3(X12))
| ~ r1(X11,X12)
| ~ r1(X10,X11)
| ~ r1(X9,X10)
| ~ r1(sK2(X7),X9)
| ~ r1(sK0,X7) ),
inference(cnf_transformation,[],[f23]) ).
fof(f37,plain,
! [X10,X11,X9,X16,X14,X7,X17,X15,X12] :
( p1(X11)
| ~ p1(X17)
| ~ r1(X16,X17)
| ~ r1(X15,X16)
| ~ r1(X14,X15)
| ~ r1(sK3(X12),X14)
| ~ r1(X11,X12)
| ~ r1(X10,X11)
| ~ r1(X9,X10)
| ~ r1(sK2(X7),X9)
| ~ r1(sK0,X7) ),
inference(cnf_transformation,[],[f23]) ).
fof(f38,plain,
! [X1] :
( p1(sK0)
| r1(X1,sK1(X1))
| ~ r1(sK0,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f39,plain,
! [X3,X1,X6,X4,X5] :
( p1(sK0)
| ~ p1(X6)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(sK1(X1),X3)
| ~ r1(sK0,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f40,plain,
~ p1(sK0),
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(sK0),
inference(cnf_transformation,[],[f40]) ).
cnf(c_52,negated_conjecture,
( ~ r1(sK1(X0),X1)
| ~ r1(X1,X4)
| ~ r1(X2,X3)
| ~ r1(X4,X2)
| ~ r1(sK0,X0)
| ~ p1(X3)
| p1(sK0) ),
inference(cnf_transformation,[],[f39]) ).
cnf(c_53,negated_conjecture,
( ~ r1(sK0,X0)
| r1(X0,sK1(X0))
| p1(sK0) ),
inference(cnf_transformation,[],[f38]) ).
cnf(c_54,negated_conjecture,
( ~ r1(sK3(X0),X1)
| ~ r1(sK2(X2),X3)
| ~ r1(X1,X7)
| ~ r1(X3,X8)
| ~ r1(X4,X0)
| ~ r1(X5,X6)
| ~ r1(X7,X5)
| ~ r1(X8,X4)
| ~ r1(sK0,X2)
| ~ p1(X6)
| p1(X4) ),
inference(cnf_transformation,[],[f37]) ).
cnf(c_55,negated_conjecture,
( ~ r1(sK2(X0),X1)
| ~ r1(X1,X4)
| ~ r1(X2,X3)
| ~ r1(X4,X2)
| ~ r1(sK0,X0)
| r1(X3,sK3(X3))
| p1(X2) ),
inference(cnf_transformation,[],[f36]) ).
cnf(c_56,negated_conjecture,
( ~ r1(sK0,X0)
| r1(X0,sK2(X0)) ),
inference(cnf_transformation,[],[f35]) ).
cnf(c_57,negated_conjecture,
( ~ r1(sK6(X0),X1)
| ~ r1(sK5(X2),X3)
| ~ r1(sK4(X4),X5)
| ~ r1(X1,X9)
| ~ r1(X3,X10)
| ~ r1(X5,X11)
| ~ r1(X6,X0)
| ~ r1(X7,X8)
| ~ r1(X9,X7)
| ~ r1(X10,X6)
| ~ r1(X11,X2)
| ~ r1(X12,X4)
| ~ r1(sK0,X12)
| ~ p1(X8)
| p1(X6) ),
inference(cnf_transformation,[],[f34]) ).
cnf(c_58,negated_conjecture,
( ~ r1(sK5(X0),X1)
| ~ r1(sK4(X2),X3)
| ~ r1(X1,X6)
| ~ r1(X3,X7)
| ~ r1(X4,X5)
| ~ r1(X6,X4)
| ~ r1(X7,X0)
| ~ r1(X8,X2)
| ~ r1(sK0,X8)
| r1(X5,sK6(X5))
| p1(X4) ),
inference(cnf_transformation,[],[f33]) ).
cnf(c_59,negated_conjecture,
( ~ r1(sK4(X0),X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X4,X0)
| ~ r1(sK0,X4)
| r1(X3,sK5(X3)) ),
inference(cnf_transformation,[],[f32]) ).
cnf(c_60,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(sK0,X0)
| r1(X1,sK4(X1)) ),
inference(cnf_transformation,[],[f31]) ).
cnf(c_61,negated_conjecture,
( ~ r1(sK10(X0),X1)
| ~ r1(sK9(X2),X3)
| ~ r1(sK8(X4),X5)
| ~ r1(sK7(X6),X7)
| ~ r1(X1,X11)
| ~ r1(X3,X12)
| ~ r1(X5,X13)
| ~ r1(X7,X14)
| ~ r1(X8,X0)
| ~ r1(X9,X10)
| ~ r1(X11,X9)
| ~ r1(X12,X8)
| ~ r1(X13,X2)
| ~ r1(X14,X4)
| ~ r1(X15,X6)
| ~ r1(X16,X15)
| ~ r1(sK0,X16)
| ~ p1(X10)
| p1(X8) ),
inference(cnf_transformation,[],[f30]) ).
cnf(c_62,negated_conjecture,
( ~ r1(sK9(X0),X1)
| ~ r1(sK8(X2),X3)
| ~ r1(sK7(X4),X5)
| ~ r1(X1,X8)
| ~ r1(X3,X9)
| ~ r1(X5,X10)
| ~ r1(X6,X7)
| ~ r1(X8,X6)
| ~ r1(X9,X0)
| ~ r1(X10,X2)
| ~ r1(X11,X4)
| ~ r1(X12,X11)
| ~ r1(sK0,X12)
| r1(X7,sK10(X7))
| p1(X6) ),
inference(cnf_transformation,[],[f29]) ).
cnf(c_63,negated_conjecture,
( ~ r1(sK8(X0),X1)
| ~ r1(sK7(X2),X3)
| ~ r1(X1,X4)
| ~ r1(X3,X6)
| ~ r1(X4,X5)
| ~ r1(X6,X0)
| ~ r1(X7,X2)
| ~ r1(X8,X7)
| ~ r1(sK0,X8)
| r1(X5,sK9(X5)) ),
inference(cnf_transformation,[],[f28]) ).
cnf(c_64,negated_conjecture,
( ~ r1(sK7(X0),X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X4,X0)
| ~ r1(X5,X4)
| ~ r1(sK0,X5)
| r1(X3,sK8(X3)) ),
inference(cnf_transformation,[],[f27]) ).
cnf(c_65,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ r1(sK0,X2)
| r1(X1,sK7(X1)) ),
inference(cnf_transformation,[],[f26]) ).
cnf(c_77,plain,
( r1(X0,sK1(X0))
| ~ r1(sK0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_53,c_51,c_53]) ).
cnf(c_78,negated_conjecture,
( ~ r1(sK0,X0)
| r1(X0,sK1(X0)) ),
inference(renaming,[status(thm)],[c_77]) ).
cnf(c_80,plain,
( ~ p1(X3)
| ~ r1(sK0,X0)
| ~ r1(X4,X2)
| ~ r1(X2,X3)
| ~ r1(X1,X4)
| ~ r1(sK1(X0),X1) ),
inference(global_subsumption_just,[status(thm)],[c_52,c_51,c_52]) ).
cnf(c_81,negated_conjecture,
( ~ r1(sK1(X0),X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(sK0,X0)
| ~ p1(X4) ),
inference(renaming,[status(thm)],[c_80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL681+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.33 % Computer : n001.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Aug 25 07:32:43 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 1.43/1.14 % SZS status Started for theBenchmark.p
% 1.43/1.14 % SZS status CounterSatisfiable for theBenchmark.p
% 1.43/1.14
% 1.43/1.14 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.43/1.14
% 1.43/1.14 ------ iProver source info
% 1.43/1.14
% 1.43/1.14 git: date: 2023-05-31 18:12:56 +0000
% 1.43/1.14 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.43/1.14 git: non_committed_changes: false
% 1.43/1.14 git: last_make_outside_of_git: false
% 1.43/1.14
% 1.43/1.14 ------ Parsing...
% 1.43/1.14 ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.43/1.14
% 1.43/1.14 ------ Preprocessing... sf_s rm: 17 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 1.43/1.14
% 1.43/1.14 ------ Preprocessing...------ preprocesses with Option_epr_horn
% 1.43/1.14 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.43/1.14 ------ Proving...
% 1.43/1.14 ------ Problem Properties
% 1.43/1.14
% 1.43/1.14
% 1.43/1.14 clauses 0
% 1.43/1.14 conjectures 0
% 1.43/1.14 EPR 0
% 1.43/1.14 Horn 0
% 1.43/1.14 unary 0
% 1.43/1.14 binary 0
% 1.43/1.14 lits 0
% 1.43/1.14 lits eq 0
% 1.43/1.15 fd_pure 0
% 1.43/1.15 fd_pseudo 0
% 1.43/1.15 fd_cond 0
% 1.43/1.15 fd_pseudo_cond 0
% 1.43/1.15 AC symbols 0
% 1.43/1.15
% 1.43/1.15 ------ Schedule EPR Horn non eq is on
% 1.43/1.15
% 1.43/1.15 ------ no conjectures: strip conj schedule
% 1.43/1.15
% 1.43/1.15 ------ no equalities: superposition off
% 1.43/1.15
% 1.43/1.15 ------ Option_epr_horn stripped conjectures Time Limit: Unbounded
% 1.43/1.15
% 1.43/1.15
% 1.43/1.15
% 1.43/1.15
% 1.43/1.15 % SZS status CounterSatisfiable for theBenchmark.p
% 1.43/1.15
% 1.43/1.15 % SZS output start Saturation for theBenchmark.p
% See solution above
% 1.43/1.15
% 1.43/1.15
%------------------------------------------------------------------------------