TSTP Solution File: SYO388^5 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SYO388^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n024.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 : Tue May 21 08:45:50 EDT 2024
% Result : Theorem 0.14s 0.41s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 17
% Syntax : Number of formulae : 82 ( 19 unt; 16 typ; 0 def)
% Number of atoms : 391 ( 0 equ; 0 cnn)
% Maximal formula atoms : 57 ( 5 avg)
% Number of connectives : 1541 ( 249 ~; 232 |; 93 &; 967 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 88 ( 12 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 29 ( 29 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 16 usr; 5 con; 0-3 aty)
% Number of variables : 361 ( 0 ^ 361 !; 0 ?; 361 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_22,type,
cQ_6: $i > $i > $i > $o ).
thf(decl_23,type,
f: $i > $i ).
thf(decl_24,type,
cP_5: $i > $i > $o ).
thf(decl_25,type,
cQ_5: $i > $i > $i > $o ).
thf(decl_26,type,
d: $i ).
thf(decl_27,type,
c: $i ).
thf(decl_28,type,
b: $i ).
thf(decl_29,type,
a: $i ).
thf(decl_30,type,
cP_4: $i > $i > $o ).
thf(decl_31,type,
cQ_4: $i > $i > $i > $o ).
thf(decl_32,type,
cP_3: $i > $i > $o ).
thf(decl_33,type,
cQ_3: $i > $i > $i > $o ).
thf(decl_34,type,
cP_2: $i > $i > $o ).
thf(decl_35,type,
cQ_2: $i > $i > $i > $o ).
thf(decl_36,type,
cP_1: $i > $i > $o ).
thf(decl_37,type,
cQ_1: $i > $i > $i > $o ).
thf(cTHM409_5,conjecture,
~ ( ( cQ_1 @ a @ b @ c )
& ( cP_1 @ a @ a )
& ( cP_1 @ b @ b )
& ( cP_1 @ c @ c )
& ! [X1: $i] : ( cP_1 @ d @ X1 )
& ! [X1: $i,X2: $i] :
( ~ ( cP_1 @ X1 @ X2 )
| ( cP_1 @ ( f @ X1 ) @ X2 ) )
& ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ ( cQ_1 @ X1 @ X2 @ X3 )
| ~ ( cP_1 @ ( f @ X1 ) @ X4 )
| ~ ( cP_1 @ ( f @ X2 ) @ X5 )
| ~ ( cP_1 @ ( f @ X3 ) @ X6 )
| ( cQ_2 @ X4 @ X5 @ X6 ) )
& ( cP_2 @ a @ a )
& ( cP_2 @ b @ b )
& ( cP_2 @ c @ c )
& ! [X1: $i] : ( cP_2 @ d @ X1 )
& ! [X1: $i,X2: $i] :
( ~ ( cP_2 @ X1 @ X2 )
| ( cP_2 @ ( f @ X1 ) @ X2 ) )
& ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ ( cQ_2 @ X1 @ X2 @ X3 )
| ~ ( cP_2 @ ( f @ X1 ) @ X4 )
| ~ ( cP_2 @ ( f @ X2 ) @ X5 )
| ~ ( cP_2 @ ( f @ X3 ) @ X6 )
| ( cQ_3 @ X4 @ X5 @ X6 ) )
& ( cP_3 @ a @ a )
& ( cP_3 @ b @ b )
& ( cP_3 @ c @ c )
& ! [X1: $i] : ( cP_3 @ d @ X1 )
& ! [X1: $i,X2: $i] :
( ~ ( cP_3 @ X1 @ X2 )
| ( cP_3 @ ( f @ X1 ) @ X2 ) )
& ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ ( cQ_3 @ X1 @ X2 @ X3 )
| ~ ( cP_3 @ ( f @ X1 ) @ X4 )
| ~ ( cP_3 @ ( f @ X2 ) @ X5 )
| ~ ( cP_3 @ ( f @ X3 ) @ X6 )
| ( cQ_4 @ X4 @ X5 @ X6 ) )
& ( cP_4 @ a @ a )
& ( cP_4 @ b @ b )
& ( cP_4 @ c @ c )
& ! [X1: $i] : ( cP_4 @ d @ X1 )
& ! [X1: $i,X2: $i] :
( ~ ( cP_4 @ X1 @ X2 )
| ( cP_4 @ ( f @ X1 ) @ X2 ) )
& ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ ( cQ_4 @ X1 @ X2 @ X3 )
| ~ ( cP_4 @ ( f @ X1 ) @ X4 )
| ~ ( cP_4 @ ( f @ X2 ) @ X5 )
| ~ ( cP_4 @ ( f @ X3 ) @ X6 )
| ( cQ_5 @ X4 @ X5 @ X6 ) )
& ( cP_5 @ a @ a )
& ( cP_5 @ b @ b )
& ( cP_5 @ c @ c )
& ! [X1: $i] : ( cP_5 @ d @ X1 )
& ! [X1: $i,X2: $i] :
( ~ ( cP_5 @ X1 @ X2 )
| ( cP_5 @ ( f @ X1 ) @ X2 ) )
& ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ ( cQ_5 @ X1 @ X2 @ X3 )
| ~ ( cP_5 @ ( f @ X1 ) @ X4 )
| ~ ( cP_5 @ ( f @ X2 ) @ X5 )
| ~ ( cP_5 @ ( f @ X3 ) @ X6 )
| ( cQ_6 @ X4 @ X5 @ X6 ) )
& ! [X1: $i,X2: $i,X3: $i] :
~ ( cQ_6 @ X1 @ X2 @ X3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM409_5) ).
thf(c_0_1,negated_conjecture,
~ ~ ( ( cQ_1 @ a @ b @ c )
& ( cP_1 @ a @ a )
& ( cP_1 @ b @ b )
& ( cP_1 @ c @ c )
& ! [X1: $i] : ( cP_1 @ d @ X1 )
& ! [X1: $i,X2: $i] :
( ~ ( cP_1 @ X1 @ X2 )
| ( cP_1 @ ( f @ X1 ) @ X2 ) )
& ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ ( cQ_1 @ X1 @ X2 @ X3 )
| ~ ( cP_1 @ ( f @ X1 ) @ X4 )
| ~ ( cP_1 @ ( f @ X2 ) @ X5 )
| ~ ( cP_1 @ ( f @ X3 ) @ X6 )
| ( cQ_2 @ X4 @ X5 @ X6 ) )
& ( cP_2 @ a @ a )
& ( cP_2 @ b @ b )
& ( cP_2 @ c @ c )
& ! [X1: $i] : ( cP_2 @ d @ X1 )
& ! [X1: $i,X2: $i] :
( ~ ( cP_2 @ X1 @ X2 )
| ( cP_2 @ ( f @ X1 ) @ X2 ) )
& ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ ( cQ_2 @ X1 @ X2 @ X3 )
| ~ ( cP_2 @ ( f @ X1 ) @ X4 )
| ~ ( cP_2 @ ( f @ X2 ) @ X5 )
| ~ ( cP_2 @ ( f @ X3 ) @ X6 )
| ( cQ_3 @ X4 @ X5 @ X6 ) )
& ( cP_3 @ a @ a )
& ( cP_3 @ b @ b )
& ( cP_3 @ c @ c )
& ! [X1: $i] : ( cP_3 @ d @ X1 )
& ! [X1: $i,X2: $i] :
( ~ ( cP_3 @ X1 @ X2 )
| ( cP_3 @ ( f @ X1 ) @ X2 ) )
& ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ ( cQ_3 @ X1 @ X2 @ X3 )
| ~ ( cP_3 @ ( f @ X1 ) @ X4 )
| ~ ( cP_3 @ ( f @ X2 ) @ X5 )
| ~ ( cP_3 @ ( f @ X3 ) @ X6 )
| ( cQ_4 @ X4 @ X5 @ X6 ) )
& ( cP_4 @ a @ a )
& ( cP_4 @ b @ b )
& ( cP_4 @ c @ c )
& ! [X1: $i] : ( cP_4 @ d @ X1 )
& ! [X1: $i,X2: $i] :
( ~ ( cP_4 @ X1 @ X2 )
| ( cP_4 @ ( f @ X1 ) @ X2 ) )
& ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ ( cQ_4 @ X1 @ X2 @ X3 )
| ~ ( cP_4 @ ( f @ X1 ) @ X4 )
| ~ ( cP_4 @ ( f @ X2 ) @ X5 )
| ~ ( cP_4 @ ( f @ X3 ) @ X6 )
| ( cQ_5 @ X4 @ X5 @ X6 ) )
& ( cP_5 @ a @ a )
& ( cP_5 @ b @ b )
& ( cP_5 @ c @ c )
& ! [X1: $i] : ( cP_5 @ d @ X1 )
& ! [X1: $i,X2: $i] :
( ~ ( cP_5 @ X1 @ X2 )
| ( cP_5 @ ( f @ X1 ) @ X2 ) )
& ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ ( cQ_5 @ X1 @ X2 @ X3 )
| ~ ( cP_5 @ ( f @ X1 ) @ X4 )
| ~ ( cP_5 @ ( f @ X2 ) @ X5 )
| ~ ( cP_5 @ ( f @ X3 ) @ X6 )
| ( cQ_6 @ X4 @ X5 @ X6 ) )
& ! [X1: $i,X2: $i,X3: $i] :
~ ( cQ_6 @ X1 @ X2 @ X3 ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cTHM409_5])]) ).
thf(c_0_2,negated_conjecture,
! [X55: $i,X56: $i,X57: $i,X58: $i,X59: $i,X60: $i,X61: $i,X62: $i,X63: $i,X64: $i,X65: $i,X66: $i,X67: $i,X68: $i,X69: $i,X70: $i,X71: $i,X72: $i,X73: $i,X74: $i,X75: $i,X76: $i,X77: $i,X78: $i,X79: $i,X80: $i,X81: $i,X82: $i,X83: $i,X84: $i,X85: $i,X86: $i,X87: $i,X88: $i,X89: $i,X90: $i,X91: $i,X92: $i,X93: $i,X94: $i,X95: $i,X96: $i,X97: $i,X98: $i,X99: $i,X100: $i,X101: $i,X102: $i] :
( ( cQ_1 @ a @ b @ c )
& ( cP_1 @ a @ a )
& ( cP_1 @ b @ b )
& ( cP_1 @ c @ c )
& ( cP_1 @ d @ X55 )
& ( ~ ( cP_1 @ X56 @ X57 )
| ( cP_1 @ ( f @ X56 ) @ X57 ) )
& ( ~ ( cQ_1 @ X58 @ X59 @ X60 )
| ~ ( cP_1 @ ( f @ X58 ) @ X61 )
| ~ ( cP_1 @ ( f @ X59 ) @ X62 )
| ~ ( cP_1 @ ( f @ X60 ) @ X63 )
| ( cQ_2 @ X61 @ X62 @ X63 ) )
& ( cP_2 @ a @ a )
& ( cP_2 @ b @ b )
& ( cP_2 @ c @ c )
& ( cP_2 @ d @ X64 )
& ( ~ ( cP_2 @ X65 @ X66 )
| ( cP_2 @ ( f @ X65 ) @ X66 ) )
& ( ~ ( cQ_2 @ X67 @ X68 @ X69 )
| ~ ( cP_2 @ ( f @ X67 ) @ X70 )
| ~ ( cP_2 @ ( f @ X68 ) @ X71 )
| ~ ( cP_2 @ ( f @ X69 ) @ X72 )
| ( cQ_3 @ X70 @ X71 @ X72 ) )
& ( cP_3 @ a @ a )
& ( cP_3 @ b @ b )
& ( cP_3 @ c @ c )
& ( cP_3 @ d @ X73 )
& ( ~ ( cP_3 @ X74 @ X75 )
| ( cP_3 @ ( f @ X74 ) @ X75 ) )
& ( ~ ( cQ_3 @ X76 @ X77 @ X78 )
| ~ ( cP_3 @ ( f @ X76 ) @ X79 )
| ~ ( cP_3 @ ( f @ X77 ) @ X80 )
| ~ ( cP_3 @ ( f @ X78 ) @ X81 )
| ( cQ_4 @ X79 @ X80 @ X81 ) )
& ( cP_4 @ a @ a )
& ( cP_4 @ b @ b )
& ( cP_4 @ c @ c )
& ( cP_4 @ d @ X82 )
& ( ~ ( cP_4 @ X83 @ X84 )
| ( cP_4 @ ( f @ X83 ) @ X84 ) )
& ( ~ ( cQ_4 @ X85 @ X86 @ X87 )
| ~ ( cP_4 @ ( f @ X85 ) @ X88 )
| ~ ( cP_4 @ ( f @ X86 ) @ X89 )
| ~ ( cP_4 @ ( f @ X87 ) @ X90 )
| ( cQ_5 @ X88 @ X89 @ X90 ) )
& ( cP_5 @ a @ a )
& ( cP_5 @ b @ b )
& ( cP_5 @ c @ c )
& ( cP_5 @ d @ X91 )
& ( ~ ( cP_5 @ X92 @ X93 )
| ( cP_5 @ ( f @ X92 ) @ X93 ) )
& ( ~ ( cQ_5 @ X94 @ X95 @ X96 )
| ~ ( cP_5 @ ( f @ X94 ) @ X97 )
| ~ ( cP_5 @ ( f @ X95 ) @ X98 )
| ~ ( cP_5 @ ( f @ X96 ) @ X99 )
| ( cQ_6 @ X97 @ X98 @ X99 ) )
& ~ ( cQ_6 @ X100 @ X101 @ X102 ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])]) ).
thf(c_0_3,negated_conjecture,
! [X1: $i,X2: $i,X3: $i,X5: $i,X4: $i,X6: $i] :
( ( cQ_2 @ X4 @ X5 @ X6 )
| ~ ( cQ_1 @ X1 @ X2 @ X3 )
| ~ ( cP_1 @ ( f @ X1 ) @ X4 )
| ~ ( cP_1 @ ( f @ X2 ) @ X5 )
| ~ ( cP_1 @ ( f @ X3 ) @ X6 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
! [X1: $i,X2: $i] :
( ( cP_1 @ ( f @ X1 ) @ X2 )
| ~ ( cP_1 @ X1 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
! [X1: $i,X2: $i,X3: $i,X5: $i,X4: $i,X6: $i] :
( ( cQ_3 @ X4 @ X5 @ X6 )
| ~ ( cQ_2 @ X1 @ X2 @ X3 )
| ~ ( cP_2 @ ( f @ X1 ) @ X4 )
| ~ ( cP_2 @ ( f @ X2 ) @ X5 )
| ~ ( cP_2 @ ( f @ X3 ) @ X6 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_6,negated_conjecture,
! [X1: $i,X2: $i] :
( ( cP_2 @ ( f @ X1 ) @ X2 )
| ~ ( cP_2 @ X1 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_7,negated_conjecture,
! [X1: $i,X2: $i,X4: $i,X6: $i,X5: $i,X3: $i] :
( ( cQ_2 @ X1 @ X2 @ X3 )
| ~ ( cP_1 @ ( f @ X4 ) @ X2 )
| ~ ( cP_1 @ ( f @ X5 ) @ X1 )
| ~ ( cQ_1 @ X5 @ X4 @ X6 )
| ~ ( cP_1 @ X6 @ X3 ) ),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
thf(c_0_8,negated_conjecture,
! [X1: $i,X2: $i,X4: $i,X6: $i,X5: $i,X3: $i] :
( ( cQ_3 @ X1 @ X2 @ X3 )
| ~ ( cP_2 @ ( f @ X4 ) @ X2 )
| ~ ( cP_2 @ ( f @ X5 ) @ X1 )
| ~ ( cQ_2 @ X5 @ X4 @ X6 )
| ~ ( cP_2 @ X6 @ X3 ) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
thf(c_0_9,negated_conjecture,
! [X1: $i,X4: $i,X6: $i,X5: $i,X3: $i,X2: $i] :
( ( cQ_2 @ X1 @ X2 @ X3 )
| ~ ( cP_1 @ ( f @ X4 ) @ X1 )
| ~ ( cQ_1 @ X4 @ X5 @ X6 )
| ~ ( cP_1 @ X6 @ X3 )
| ~ ( cP_1 @ X5 @ X2 ) ),
inference(spm,[status(thm)],[c_0_7,c_0_4]) ).
thf(c_0_10,negated_conjecture,
! [X1: $i,X4: $i,X6: $i,X5: $i,X3: $i,X2: $i] :
( ( cQ_3 @ X1 @ X2 @ X3 )
| ~ ( cP_2 @ ( f @ X4 ) @ X1 )
| ~ ( cQ_2 @ X4 @ X5 @ X6 )
| ~ ( cP_2 @ X6 @ X3 )
| ~ ( cP_2 @ X5 @ X2 ) ),
inference(spm,[status(thm)],[c_0_8,c_0_6]) ).
thf(c_0_11,negated_conjecture,
! [X2: $i,X6: $i,X5: $i,X4: $i,X3: $i,X1: $i] :
( ( cQ_2 @ X1 @ X2 @ X3 )
| ~ ( cQ_1 @ X4 @ X5 @ X6 )
| ~ ( cP_1 @ X6 @ X3 )
| ~ ( cP_1 @ X5 @ X2 )
| ~ ( cP_1 @ X4 @ X1 ) ),
inference(spm,[status(thm)],[c_0_9,c_0_4]) ).
thf(c_0_12,negated_conjecture,
cQ_1 @ a @ b @ c,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_13,negated_conjecture,
! [X2: $i,X6: $i,X5: $i,X4: $i,X3: $i,X1: $i] :
( ( cQ_3 @ X1 @ X2 @ X3 )
| ~ ( cQ_2 @ X4 @ X5 @ X6 )
| ~ ( cP_2 @ X6 @ X3 )
| ~ ( cP_2 @ X5 @ X2 )
| ~ ( cP_2 @ X4 @ X1 ) ),
inference(spm,[status(thm)],[c_0_10,c_0_6]) ).
thf(c_0_14,negated_conjecture,
! [X3: $i,X2: $i,X1: $i] :
( ( cQ_2 @ X1 @ X2 @ X3 )
| ~ ( cP_1 @ c @ X3 )
| ~ ( cP_1 @ b @ X2 )
| ~ ( cP_1 @ a @ X1 ) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
thf(c_0_15,negated_conjecture,
! [X1: $i,X2: $i,X3: $i,X5: $i,X4: $i,X6: $i] :
( ( cQ_4 @ X4 @ X5 @ X6 )
| ~ ( cQ_3 @ X1 @ X2 @ X3 )
| ~ ( cP_3 @ ( f @ X1 ) @ X4 )
| ~ ( cP_3 @ ( f @ X2 ) @ X5 )
| ~ ( cP_3 @ ( f @ X3 ) @ X6 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_16,negated_conjecture,
! [X1: $i,X2: $i] :
( ( cP_3 @ ( f @ X1 ) @ X2 )
| ~ ( cP_3 @ X1 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_17,negated_conjecture,
! [X3: $i,X2: $i,X5: $i,X6: $i,X4: $i,X1: $i] :
( ( cQ_3 @ X1 @ X2 @ X3 )
| ~ ( cP_1 @ c @ X4 )
| ~ ( cP_1 @ b @ X5 )
| ~ ( cP_1 @ a @ X6 )
| ~ ( cP_2 @ X4 @ X3 )
| ~ ( cP_2 @ X5 @ X2 )
| ~ ( cP_2 @ X6 @ X1 ) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
thf(c_0_18,negated_conjecture,
cP_1 @ c @ c,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_19,negated_conjecture,
! [X1: $i,X2: $i,X4: $i,X6: $i,X5: $i,X3: $i] :
( ( cQ_4 @ X1 @ X2 @ X3 )
| ~ ( cP_3 @ ( f @ X4 ) @ X2 )
| ~ ( cP_3 @ ( f @ X5 ) @ X1 )
| ~ ( cQ_3 @ X5 @ X4 @ X6 )
| ~ ( cP_3 @ X6 @ X3 ) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
thf(c_0_20,negated_conjecture,
! [X2: $i,X4: $i,X5: $i,X3: $i,X1: $i] :
( ( cQ_3 @ X1 @ X2 @ X3 )
| ~ ( cP_1 @ b @ X4 )
| ~ ( cP_1 @ a @ X5 )
| ~ ( cP_2 @ c @ X3 )
| ~ ( cP_2 @ X4 @ X2 )
| ~ ( cP_2 @ X5 @ X1 ) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
thf(c_0_21,negated_conjecture,
cP_1 @ b @ b,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_22,negated_conjecture,
! [X1: $i,X4: $i,X6: $i,X5: $i,X3: $i,X2: $i] :
( ( cQ_4 @ X1 @ X2 @ X3 )
| ~ ( cP_3 @ ( f @ X4 ) @ X1 )
| ~ ( cQ_3 @ X4 @ X5 @ X6 )
| ~ ( cP_3 @ X6 @ X3 )
| ~ ( cP_3 @ X5 @ X2 ) ),
inference(spm,[status(thm)],[c_0_19,c_0_16]) ).
thf(c_0_23,negated_conjecture,
! [X2: $i,X4: $i,X3: $i,X1: $i] :
( ( cQ_3 @ X1 @ X2 @ X3 )
| ~ ( cP_1 @ a @ X4 )
| ~ ( cP_2 @ c @ X3 )
| ~ ( cP_2 @ b @ X2 )
| ~ ( cP_2 @ X4 @ X1 ) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
thf(c_0_24,negated_conjecture,
cP_1 @ a @ a,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_25,negated_conjecture,
! [X2: $i,X6: $i,X5: $i,X4: $i,X3: $i,X1: $i] :
( ( cQ_4 @ X1 @ X2 @ X3 )
| ~ ( cQ_3 @ X4 @ X5 @ X6 )
| ~ ( cP_3 @ X6 @ X3 )
| ~ ( cP_3 @ X5 @ X2 )
| ~ ( cP_3 @ X4 @ X1 ) ),
inference(spm,[status(thm)],[c_0_22,c_0_16]) ).
thf(c_0_26,negated_conjecture,
! [X3: $i,X2: $i,X1: $i] :
( ( cQ_3 @ X1 @ X2 @ X3 )
| ~ ( cP_2 @ c @ X3 )
| ~ ( cP_2 @ b @ X2 )
| ~ ( cP_2 @ a @ X1 ) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
thf(c_0_27,negated_conjecture,
! [X1: $i,X2: $i,X3: $i,X5: $i,X4: $i,X6: $i] :
( ( cQ_5 @ X4 @ X5 @ X6 )
| ~ ( cQ_4 @ X1 @ X2 @ X3 )
| ~ ( cP_4 @ ( f @ X1 ) @ X4 )
| ~ ( cP_4 @ ( f @ X2 ) @ X5 )
| ~ ( cP_4 @ ( f @ X3 ) @ X6 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_28,negated_conjecture,
! [X1: $i,X2: $i] :
( ( cP_4 @ ( f @ X1 ) @ X2 )
| ~ ( cP_4 @ X1 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_29,negated_conjecture,
! [X3: $i,X2: $i,X5: $i,X6: $i,X4: $i,X1: $i] :
( ( cQ_4 @ X1 @ X2 @ X3 )
| ~ ( cP_2 @ c @ X4 )
| ~ ( cP_2 @ b @ X5 )
| ~ ( cP_2 @ a @ X6 )
| ~ ( cP_3 @ X4 @ X3 )
| ~ ( cP_3 @ X5 @ X2 )
| ~ ( cP_3 @ X6 @ X1 ) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
thf(c_0_30,negated_conjecture,
cP_2 @ c @ c,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_31,negated_conjecture,
! [X1: $i,X2: $i,X4: $i,X6: $i,X5: $i,X3: $i] :
( ( cQ_5 @ X1 @ X2 @ X3 )
| ~ ( cP_4 @ ( f @ X4 ) @ X2 )
| ~ ( cP_4 @ ( f @ X5 ) @ X1 )
| ~ ( cQ_4 @ X5 @ X4 @ X6 )
| ~ ( cP_4 @ X6 @ X3 ) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
thf(c_0_32,negated_conjecture,
! [X2: $i,X4: $i,X5: $i,X3: $i,X1: $i] :
( ( cQ_4 @ X1 @ X2 @ X3 )
| ~ ( cP_2 @ b @ X4 )
| ~ ( cP_2 @ a @ X5 )
| ~ ( cP_3 @ c @ X3 )
| ~ ( cP_3 @ X4 @ X2 )
| ~ ( cP_3 @ X5 @ X1 ) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
thf(c_0_33,negated_conjecture,
cP_2 @ b @ b,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_34,negated_conjecture,
! [X1: $i,X4: $i,X6: $i,X5: $i,X3: $i,X2: $i] :
( ( cQ_5 @ X1 @ X2 @ X3 )
| ~ ( cP_4 @ ( f @ X4 ) @ X1 )
| ~ ( cQ_4 @ X4 @ X5 @ X6 )
| ~ ( cP_4 @ X6 @ X3 )
| ~ ( cP_4 @ X5 @ X2 ) ),
inference(spm,[status(thm)],[c_0_31,c_0_28]) ).
thf(c_0_35,negated_conjecture,
! [X2: $i,X4: $i,X3: $i,X1: $i] :
( ( cQ_4 @ X1 @ X2 @ X3 )
| ~ ( cP_2 @ a @ X4 )
| ~ ( cP_3 @ c @ X3 )
| ~ ( cP_3 @ b @ X2 )
| ~ ( cP_3 @ X4 @ X1 ) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
thf(c_0_36,negated_conjecture,
cP_2 @ a @ a,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_37,negated_conjecture,
! [X1: $i,X2: $i,X3: $i,X5: $i,X4: $i,X6: $i] :
( ( cQ_6 @ X4 @ X5 @ X6 )
| ~ ( cQ_5 @ X1 @ X2 @ X3 )
| ~ ( cP_5 @ ( f @ X1 ) @ X4 )
| ~ ( cP_5 @ ( f @ X2 ) @ X5 )
| ~ ( cP_5 @ ( f @ X3 ) @ X6 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_38,negated_conjecture,
! [X1: $i,X2: $i,X3: $i] :
~ ( cQ_6 @ X1 @ X2 @ X3 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_39,negated_conjecture,
! [X2: $i,X6: $i,X5: $i,X4: $i,X3: $i,X1: $i] :
( ( cQ_5 @ X1 @ X2 @ X3 )
| ~ ( cQ_4 @ X4 @ X5 @ X6 )
| ~ ( cP_4 @ X6 @ X3 )
| ~ ( cP_4 @ X5 @ X2 )
| ~ ( cP_4 @ X4 @ X1 ) ),
inference(spm,[status(thm)],[c_0_34,c_0_28]) ).
thf(c_0_40,negated_conjecture,
! [X3: $i,X2: $i,X1: $i] :
( ( cQ_4 @ X1 @ X2 @ X3 )
| ~ ( cP_3 @ c @ X3 )
| ~ ( cP_3 @ b @ X2 )
| ~ ( cP_3 @ a @ X1 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
thf(c_0_41,negated_conjecture,
! [X6: $i,X5: $i,X4: $i,X3: $i,X2: $i,X1: $i] :
( ~ ( cP_5 @ ( f @ X1 ) @ X2 )
| ~ ( cP_5 @ ( f @ X3 ) @ X4 )
| ~ ( cP_5 @ ( f @ X5 ) @ X6 )
| ~ ( cQ_5 @ X5 @ X3 @ X1 ) ),
inference(sr,[status(thm)],[c_0_37,c_0_38]) ).
thf(c_0_42,negated_conjecture,
! [X1: $i,X2: $i] :
( ( cP_5 @ ( f @ X1 ) @ X2 )
| ~ ( cP_5 @ X1 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_43,negated_conjecture,
! [X3: $i,X2: $i,X5: $i,X6: $i,X4: $i,X1: $i] :
( ( cQ_5 @ X1 @ X2 @ X3 )
| ~ ( cP_3 @ c @ X4 )
| ~ ( cP_3 @ b @ X5 )
| ~ ( cP_3 @ a @ X6 )
| ~ ( cP_4 @ X4 @ X3 )
| ~ ( cP_4 @ X5 @ X2 )
| ~ ( cP_4 @ X6 @ X1 ) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
thf(c_0_44,negated_conjecture,
cP_3 @ c @ c,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_45,negated_conjecture,
! [X1: $i,X3: $i,X2: $i,X4: $i,X5: $i,X6: $i] :
( ~ ( cP_5 @ ( f @ X1 ) @ X2 )
| ~ ( cP_5 @ ( f @ X3 ) @ X4 )
| ~ ( cQ_5 @ X3 @ X1 @ X5 )
| ~ ( cP_5 @ X5 @ X6 ) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
thf(c_0_46,negated_conjecture,
! [X2: $i,X4: $i,X5: $i,X3: $i,X1: $i] :
( ( cQ_5 @ X1 @ X2 @ X3 )
| ~ ( cP_3 @ b @ X4 )
| ~ ( cP_3 @ a @ X5 )
| ~ ( cP_4 @ c @ X3 )
| ~ ( cP_4 @ X4 @ X2 )
| ~ ( cP_4 @ X5 @ X1 ) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
thf(c_0_47,negated_conjecture,
cP_3 @ b @ b,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_48,negated_conjecture,
! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ ( cP_5 @ ( f @ X1 ) @ X2 )
| ~ ( cQ_5 @ X1 @ X3 @ X4 )
| ~ ( cP_5 @ X4 @ X5 )
| ~ ( cP_5 @ X3 @ X6 ) ),
inference(spm,[status(thm)],[c_0_45,c_0_42]) ).
thf(c_0_49,negated_conjecture,
! [X2: $i,X4: $i,X3: $i,X1: $i] :
( ( cQ_5 @ X1 @ X2 @ X3 )
| ~ ( cP_3 @ a @ X4 )
| ~ ( cP_4 @ c @ X3 )
| ~ ( cP_4 @ b @ X2 )
| ~ ( cP_4 @ X4 @ X1 ) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
thf(c_0_50,negated_conjecture,
cP_3 @ a @ a,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_51,negated_conjecture,
! [X3: $i,X2: $i,X1: $i,X4: $i,X5: $i,X6: $i] :
( ~ ( cQ_5 @ X1 @ X2 @ X3 )
| ~ ( cP_5 @ X3 @ X4 )
| ~ ( cP_5 @ X2 @ X5 )
| ~ ( cP_5 @ X1 @ X6 ) ),
inference(spm,[status(thm)],[c_0_48,c_0_42]) ).
thf(c_0_52,negated_conjecture,
! [X3: $i,X2: $i,X1: $i] :
( ( cQ_5 @ X1 @ X2 @ X3 )
| ~ ( cP_4 @ c @ X3 )
| ~ ( cP_4 @ b @ X2 )
| ~ ( cP_4 @ a @ X1 ) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
thf(c_0_53,negated_conjecture,
! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ ( cP_4 @ c @ X1 )
| ~ ( cP_4 @ b @ X2 )
| ~ ( cP_4 @ a @ X3 )
| ~ ( cP_5 @ X1 @ X4 )
| ~ ( cP_5 @ X2 @ X5 )
| ~ ( cP_5 @ X3 @ X6 ) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
thf(c_0_54,negated_conjecture,
cP_4 @ c @ c,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_55,negated_conjecture,
! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( cP_4 @ b @ X1 )
| ~ ( cP_4 @ a @ X2 )
| ~ ( cP_5 @ c @ X3 )
| ~ ( cP_5 @ X1 @ X4 )
| ~ ( cP_5 @ X2 @ X5 ) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
thf(c_0_56,negated_conjecture,
cP_4 @ b @ b,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_57,negated_conjecture,
! [X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( cP_4 @ a @ X1 )
| ~ ( cP_5 @ c @ X2 )
| ~ ( cP_5 @ b @ X3 )
| ~ ( cP_5 @ X1 @ X4 ) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
thf(c_0_58,negated_conjecture,
cP_4 @ a @ a,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_59,negated_conjecture,
! [X1: $i,X2: $i,X3: $i] :
( ~ ( cP_5 @ c @ X1 )
| ~ ( cP_5 @ b @ X2 )
| ~ ( cP_5 @ a @ X3 ) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
thf(c_0_60,negated_conjecture,
cP_5 @ c @ c,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_61,negated_conjecture,
! [X1: $i,X2: $i] :
( ~ ( cP_5 @ b @ X1 )
| ~ ( cP_5 @ a @ X2 ) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
thf(c_0_62,negated_conjecture,
cP_5 @ b @ b,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_63,negated_conjecture,
cP_5 @ a @ a,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_64,negated_conjecture,
! [X1: $i] :
~ ( cP_5 @ a @ X1 ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
thf(c_0_65,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_63,c_0_64]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SYO388^5 : TPTP v8.2.0. Released v4.0.0.
% 0.00/0.10 % Command : run_E %s %d THM
% 0.09/0.30 % Computer : n024.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon May 20 08:32:38 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.14/0.39 Running higher-order theorem proving
% 0.14/0.39 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.41 # Version: 3.1.0-ho
% 0.14/0.41 # Preprocessing class: HSMSSMSSSSSNFFN.
% 0.14/0.41 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.41 # Starting new_ho_10 with 1500s (5) cores
% 0.14/0.41 # Starting new_bool_1 with 300s (1) cores
% 0.14/0.41 # Starting full_lambda_5 with 300s (1) cores
% 0.14/0.41 # Starting new_ho_10_unif with 300s (1) cores
% 0.14/0.41 # full_lambda_5 with pid 15647 completed with status 0
% 0.14/0.41 # Result found by full_lambda_5
% 0.14/0.41 # Preprocessing class: HSMSSMSSSSSNFFN.
% 0.14/0.41 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.41 # Starting new_ho_10 with 1500s (5) cores
% 0.14/0.41 # Starting new_bool_1 with 300s (1) cores
% 0.14/0.41 # Starting full_lambda_5 with 300s (1) cores
% 0.14/0.41 # No SInE strategy applied
% 0.14/0.41 # Search class: HHUNM-FFMM11-SFFFFFNN
% 0.14/0.41 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.41 # Starting new_ho_10 with 163s (1) cores
% 0.14/0.41 # new_ho_10 with pid 15651 completed with status 0
% 0.14/0.41 # Result found by new_ho_10
% 0.14/0.41 # Preprocessing class: HSMSSMSSSSSNFFN.
% 0.14/0.41 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.41 # Starting new_ho_10 with 1500s (5) cores
% 0.14/0.41 # Starting new_bool_1 with 300s (1) cores
% 0.14/0.41 # Starting full_lambda_5 with 300s (1) cores
% 0.14/0.41 # No SInE strategy applied
% 0.14/0.41 # Search class: HHUNM-FFMM11-SFFFFFNN
% 0.14/0.41 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.41 # Starting new_ho_10 with 163s (1) cores
% 0.14/0.41 # Preprocessing time : 0.001 s
% 0.14/0.41 # Presaturation interreduction done
% 0.14/0.41
% 0.14/0.41 # Proof found!
% 0.14/0.41 # SZS status Theorem
% 0.14/0.41 # SZS output start CNFRefutation
% See solution above
% 0.14/0.41 # Parsed axioms : 17
% 0.14/0.41 # Removed by relevancy pruning/SinE : 0
% 0.14/0.41 # Initial clauses : 48
% 0.14/0.41 # Removed in clause preprocessing : 16
% 0.14/0.41 # Initial clauses in saturation : 32
% 0.14/0.41 # Processed clauses : 98
% 0.14/0.41 # ...of these trivial : 0
% 0.14/0.41 # ...subsumed : 0
% 0.14/0.41 # ...remaining for further processing : 98
% 0.14/0.41 # Other redundant clauses eliminated : 0
% 0.14/0.41 # Clauses deleted for lack of memory : 0
% 0.14/0.41 # Backward-subsumed : 2
% 0.14/0.41 # Backward-rewritten : 0
% 0.14/0.41 # Generated clauses : 35
% 0.14/0.41 # ...of the previous two non-redundant : 34
% 0.14/0.41 # ...aggressively subsumed : 0
% 0.14/0.41 # Contextual simplify-reflections : 0
% 0.14/0.41 # Paramodulations : 34
% 0.14/0.41 # Factorizations : 0
% 0.14/0.41 # NegExts : 0
% 0.14/0.41 # Equation resolutions : 0
% 0.14/0.41 # Disequality decompositions : 0
% 0.14/0.41 # Total rewrite steps : 0
% 0.14/0.41 # ...of those cached : 0
% 0.14/0.41 # Propositional unsat checks : 0
% 0.14/0.41 # Propositional check models : 0
% 0.14/0.41 # Propositional check unsatisfiable : 0
% 0.14/0.41 # Propositional clauses : 0
% 0.14/0.41 # Propositional clauses after purity: 0
% 0.14/0.41 # Propositional unsat core size : 0
% 0.14/0.41 # Propositional preprocessing time : 0.000
% 0.14/0.41 # Propositional encoding time : 0.000
% 0.14/0.41 # Propositional solver time : 0.000
% 0.14/0.41 # Success case prop preproc time : 0.000
% 0.14/0.41 # Success case prop encoding time : 0.000
% 0.14/0.41 # Success case prop solver time : 0.000
% 0.14/0.41 # Current number of processed clauses : 63
% 0.14/0.41 # Positive orientable unit clauses : 20
% 0.14/0.41 # Positive unorientable unit clauses: 0
% 0.14/0.41 # Negative unit clauses : 2
% 0.14/0.41 # Non-unit-clauses : 41
% 0.14/0.41 # Current number of unprocessed clauses: 0
% 0.14/0.41 # ...number of literals in the above : 0
% 0.14/0.41 # Current number of archived formulas : 0
% 0.14/0.41 # Current number of archived clauses : 35
% 0.14/0.41 # Clause-clause subsumption calls (NU) : 288
% 0.14/0.41 # Rec. Clause-clause subsumption calls : 77
% 0.14/0.41 # Non-unit clause-clause subsumptions : 1
% 0.14/0.41 # Unit Clause-clause subsumption calls : 9
% 0.14/0.41 # Rewrite failures with RHS unbound : 0
% 0.14/0.41 # BW rewrite match attempts : 0
% 0.14/0.41 # BW rewrite match successes : 0
% 0.14/0.41 # Condensation attempts : 98
% 0.14/0.41 # Condensation successes : 0
% 0.14/0.41 # Termbank termtop insertions : 5584
% 0.14/0.41 # Search garbage collected termcells : 472
% 0.14/0.41
% 0.14/0.41 # -------------------------------------------------
% 0.14/0.41 # User time : 0.009 s
% 0.14/0.41 # System time : 0.003 s
% 0.14/0.41 # Total time : 0.011 s
% 0.14/0.41 # Maximum resident set size: 1884 pages
% 0.14/0.41
% 0.14/0.41 # -------------------------------------------------
% 0.14/0.41 # User time : 0.012 s
% 0.14/0.41 # System time : 0.003 s
% 0.14/0.41 # Total time : 0.015 s
% 0.14/0.41 # Maximum resident set size: 1736 pages
% 0.14/0.41 % E---3.1 exiting
% 0.14/0.41 % E exiting
%------------------------------------------------------------------------------