%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : ALG273^5 : TPTP v9.3.1. Bugfixed v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:44:58 AM UTC 2026
% Result : Theorem 12.80s 1.99s
% Output : CNFRefutation 12.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 8
% Syntax : Number of formulae : 92 ( 29 unt; 0 typ; 0 def)
% Number of atoms : 249 ( 222 equ; 0 cnn)
% Maximal formula atoms : 24 ( 2 avg)
% Number of connectives : 932 ( 44 ~; 97 |; 25 &; 763 @)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 38 ( 38 >; 0 *; 0 +; 0 <<)
% Number of symbols : 23 ( 21 usr; 12 con; 0-2 aty)
% Number of variables : 275 ( 30 ^; 235 !; 10 ?; 275 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
g: $tType ).
thf(decl_23,type,
cGROUP2: ( g > g > g ) > g > $o ).
thf(decl_24,type,
cGROUP3: ( g > g > g ) > g > $o ).
thf(decl_25,type,
cGRP_ASSOC: ( g > g > g ) > $o ).
thf(decl_26,type,
cGRP_LEFT_INVERSE: ( g > g > g ) > g > $o ).
thf(decl_27,type,
cGRP_LEFT_UNIT: ( g > g > g ) > g > $o ).
thf(decl_28,type,
cGRP_RIGHT_INVERSE: ( g > g > g ) > g > $o ).
thf(decl_29,type,
cGRP_RIGHT_UNIT: ( g > g > g ) > g > $o ).
thf(decl_30,type,
esk1_0: g > g > g ).
thf(decl_31,type,
esk2_0: g ).
thf(decl_32,type,
esk3_0: g ).
thf(decl_33,type,
esk4_0: g ).
thf(decl_34,type,
esk5_0: g ).
thf(decl_35,type,
esk6_0: g ).
thf(decl_36,type,
esk7_0: g ).
thf(decl_37,type,
esk8_0: g ).
thf(decl_38,type,
esk9_0: g ).
thf(decl_39,type,
esk10_0: g ).
thf(decl_40,type,
esk11_0: g ).
thf(decl_41,type,
esk12_0: g ).
thf(decl_42,type,
esk13_1: g > g ).
thf(decl_43,type,
esk14_1: g > g ).
thf(cGROUP2_def,axiom,
( cGROUP2
= ( ^ [X1: g > g > g,X5: g] :
( ( cGRP_ASSOC @ X1 )
& ( cGRP_LEFT_UNIT @ X1 @ X5 )
& ( cGRP_LEFT_INVERSE @ X1 @ X5 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.lFpcq388cE/E---3.1_3186847.p',cGROUP2_def) ).
thf(cGRP_ASSOC_def,axiom,
( cGRP_ASSOC
= ( ^ [X1: g > g > g] :
! [X2: g,X3: g,X4: g] :
( ( X1 @ ( X1 @ X2 @ X3 ) @ X4 )
= ( X1 @ X2 @ ( X1 @ X3 @ X4 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.lFpcq388cE/E---3.1_3186847.p',cGRP_ASSOC_def) ).
thf(cGRP_LEFT_INVERSE_def,axiom,
( cGRP_LEFT_INVERSE
= ( ^ [X1: g > g > g,X5: g] :
! [X2: g] :
? [X3: g] :
( ( X1 @ X3 @ X2 )
= X5 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.lFpcq388cE/E---3.1_3186847.p',cGRP_LEFT_INVERSE_def) ).
thf(cGRP_LEFT_UNIT_def,axiom,
( cGRP_LEFT_UNIT
= ( ^ [X1: g > g > g,X5: g] :
! [X2: g] :
( ( X1 @ X5 @ X2 )
= X2 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.lFpcq388cE/E---3.1_3186847.p',cGRP_LEFT_UNIT_def) ).
thf(cGROUP3_def,axiom,
( cGROUP3
= ( ^ [X1: g > g > g,X5: g] :
( ( cGRP_ASSOC @ X1 )
& ( cGRP_RIGHT_UNIT @ X1 @ X5 )
& ( cGRP_RIGHT_INVERSE @ X1 @ X5 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.lFpcq388cE/E---3.1_3186847.p',cGROUP3_def) ).
thf(cGRP_RIGHT_INVERSE_def,axiom,
( cGRP_RIGHT_INVERSE
= ( ^ [X1: g > g > g,X5: g] :
! [X2: g] :
? [X3: g] :
( ( X1 @ X2 @ X3 )
= X5 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.lFpcq388cE/E---3.1_3186847.p',cGRP_RIGHT_INVERSE_def) ).
thf(cGRP_RIGHT_UNIT_def,axiom,
( cGRP_RIGHT_UNIT
= ( ^ [X1: g > g > g,X5: g] :
! [X2: g] :
( ( X1 @ X2 @ X5 )
= X2 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.lFpcq388cE/E---3.1_3186847.p',cGRP_RIGHT_UNIT_def) ).
thf(cEQUIV_02_03,conjecture,
! [X1: g > g > g,X5: g] :
( ( cGROUP2 @ X1 @ X5 )
<=> ( cGROUP3 @ X1 @ X5 ) ),
file('/export/starexec/sandbox2/tmp/tmp.lFpcq388cE/E---3.1_3186847.p',cEQUIV_02_03) ).
thf(c_0_8,plain,
( cGROUP2
= ( ^ [Z0: g > g > g,Z1: g] :
( ! [X8: g,X9: g,X10: g] :
( ( Z0 @ ( Z0 @ X8 @ X9 ) @ X10 )
= ( Z0 @ X8 @ ( Z0 @ X9 @ X10 ) ) )
& ! [X11: g] :
( ( Z0 @ Z1 @ X11 )
= X11 )
& ! [X12: g] :
? [X13: g] :
( ( Z0 @ X13 @ X12 )
= Z1 ) ) ) ),
inference(fof_simplification,[status(thm)],[cGROUP2_def]) ).
thf(c_0_9,plain,
( cGRP_ASSOC
= ( ^ [Z0: g > g > g] :
! [X2: g,X3: g,X4: g] :
( ( Z0 @ ( Z0 @ X2 @ X3 ) @ X4 )
= ( Z0 @ X2 @ ( Z0 @ X3 @ X4 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[cGRP_ASSOC_def]) ).
thf(c_0_10,plain,
( cGRP_LEFT_INVERSE
= ( ^ [Z0: g > g > g,Z1: g] :
! [X2: g] :
? [X3: g] :
( ( Z0 @ X3 @ X2 )
= Z1 ) ) ),
inference(fof_simplification,[status(thm)],[cGRP_LEFT_INVERSE_def]) ).
thf(c_0_11,plain,
( cGRP_LEFT_UNIT
= ( ^ [Z0: g > g > g,Z1: g] :
! [X2: g] :
( ( Z0 @ Z1 @ X2 )
= X2 ) ) ),
inference(fof_simplification,[status(thm)],[cGRP_LEFT_UNIT_def]) ).
thf(c_0_12,plain,
( cGROUP3
= ( ^ [Z0: g > g > g,Z1: g] :
( ! [X14: g,X15: g,X16: g] :
( ( Z0 @ ( Z0 @ X14 @ X15 ) @ X16 )
= ( Z0 @ X14 @ ( Z0 @ X15 @ X16 ) ) )
& ! [X17: g] :
( ( Z0 @ X17 @ Z1 )
= X17 )
& ! [X18: g] :
? [X19: g] :
( ( Z0 @ X18 @ X19 )
= Z1 ) ) ) ),
inference(fof_simplification,[status(thm)],[cGROUP3_def]) ).
thf(c_0_13,plain,
( cGRP_RIGHT_INVERSE
= ( ^ [Z0: g > g > g,Z1: g] :
! [X2: g] :
? [X3: g] :
( ( Z0 @ X2 @ X3 )
= Z1 ) ) ),
inference(fof_simplification,[status(thm)],[cGRP_RIGHT_INVERSE_def]) ).
thf(c_0_14,plain,
( cGRP_RIGHT_UNIT
= ( ^ [Z0: g > g > g,Z1: g] :
! [X2: g] :
( ( Z0 @ X2 @ Z1 )
= X2 ) ) ),
inference(fof_simplification,[status(thm)],[cGRP_RIGHT_UNIT_def]) ).
thf(c_0_15,negated_conjecture,
~ ! [X1: g > g > g,X5: g] :
( ( cGROUP2 @ X1 @ X5 )
<=> ( cGROUP3 @ X1 @ X5 ) ),
inference(assume_negation,[status(cth)],[cEQUIV_02_03]) ).
thf(c_0_16,plain,
( cGROUP2
= ( ^ [Z0: g > g > g,Z1: g] :
( ! [X8: g,X9: g,X10: g] :
( ( Z0 @ ( Z0 @ X8 @ X9 ) @ X10 )
= ( Z0 @ X8 @ ( Z0 @ X9 @ X10 ) ) )
& ! [X11: g] :
( ( Z0 @ Z1 @ X11 )
= X11 )
& ! [X12: g] :
? [X13: g] :
( ( Z0 @ X13 @ X12 )
= Z1 ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_8,c_0_9]),c_0_10]),c_0_11]) ).
thf(c_0_17,plain,
( cGROUP3
= ( ^ [Z0: g > g > g,Z1: g] :
( ! [X14: g,X15: g,X16: g] :
( ( Z0 @ ( Z0 @ X14 @ X15 ) @ X16 )
= ( Z0 @ X14 @ ( Z0 @ X15 @ X16 ) ) )
& ! [X17: g] :
( ( Z0 @ X17 @ Z1 )
= X17 )
& ! [X18: g] :
? [X19: g] :
( ( Z0 @ X18 @ X19 )
= Z1 ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_12,c_0_9]),c_0_13]),c_0_14]) ).
thf(c_0_18,negated_conjecture,
~ ! [X1: g > g > g,X5: g] :
( ( ! [X20: g,X21: g,X22: g] :
( ( X1 @ ( X1 @ X20 @ X21 ) @ X22 )
= ( X1 @ X20 @ ( X1 @ X21 @ X22 ) ) )
& ! [X23: g] :
( ( X1 @ X5 @ X23 )
= X23 )
& ! [X24: g] :
? [X25: g] :
( ( X1 @ X25 @ X24 )
= X5 ) )
<=> ( ! [X26: g,X27: g,X28: g] :
( ( X1 @ ( X1 @ X26 @ X27 ) @ X28 )
= ( X1 @ X26 @ ( X1 @ X27 @ X28 ) ) )
& ! [X29: g] :
( ( X1 @ X29 @ X5 )
= X29 )
& ! [X30: g] :
? [X31: g] :
( ( X1 @ X30 @ X31 )
= X5 ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_15,c_0_16]),c_0_17]) ).
thf(c_0_19,negated_conjecture,
! [X39: g,X45: g,X46: g,X47: g,X48: g,X49: g,X50: g,X52: g,X53: g,X54: g,X55: g,X56: g] :
( ( ( ( esk1_0 @ ( esk1_0 @ esk3_0 @ esk4_0 ) @ esk5_0 )
!= ( esk1_0 @ esk3_0 @ ( esk1_0 @ esk4_0 @ esk5_0 ) ) )
| ( ( esk1_0 @ esk2_0 @ esk6_0 )
!= esk6_0 )
| ( ( esk1_0 @ X39 @ esk7_0 )
!= esk2_0 )
| ( ( esk1_0 @ ( esk1_0 @ esk8_0 @ esk9_0 ) @ esk10_0 )
!= ( esk1_0 @ esk8_0 @ ( esk1_0 @ esk9_0 @ esk10_0 ) ) )
| ( ( esk1_0 @ esk11_0 @ esk2_0 )
!= esk11_0 )
| ( ( esk1_0 @ esk12_0 @ X45 )
!= esk2_0 ) )
& ( ( ( esk1_0 @ ( esk1_0 @ X52 @ X53 ) @ X54 )
= ( esk1_0 @ X52 @ ( esk1_0 @ X53 @ X54 ) ) )
| ( ( esk1_0 @ ( esk1_0 @ X46 @ X47 ) @ X48 )
= ( esk1_0 @ X46 @ ( esk1_0 @ X47 @ X48 ) ) ) )
& ( ( ( esk1_0 @ X55 @ esk2_0 )
= X55 )
| ( ( esk1_0 @ ( esk1_0 @ X46 @ X47 ) @ X48 )
= ( esk1_0 @ X46 @ ( esk1_0 @ X47 @ X48 ) ) ) )
& ( ( ( esk1_0 @ X56 @ ( esk14_1 @ X56 ) )
= esk2_0 )
| ( ( esk1_0 @ ( esk1_0 @ X46 @ X47 ) @ X48 )
= ( esk1_0 @ X46 @ ( esk1_0 @ X47 @ X48 ) ) ) )
& ( ( ( esk1_0 @ ( esk1_0 @ X52 @ X53 ) @ X54 )
= ( esk1_0 @ X52 @ ( esk1_0 @ X53 @ X54 ) ) )
| ( ( esk1_0 @ esk2_0 @ X49 )
= X49 ) )
& ( ( ( esk1_0 @ X55 @ esk2_0 )
= X55 )
| ( ( esk1_0 @ esk2_0 @ X49 )
= X49 ) )
& ( ( ( esk1_0 @ X56 @ ( esk14_1 @ X56 ) )
= esk2_0 )
| ( ( esk1_0 @ esk2_0 @ X49 )
= X49 ) )
& ( ( ( esk1_0 @ ( esk1_0 @ X52 @ X53 ) @ X54 )
= ( esk1_0 @ X52 @ ( esk1_0 @ X53 @ X54 ) ) )
| ( ( esk1_0 @ ( esk13_1 @ X50 ) @ X50 )
= esk2_0 ) )
& ( ( ( esk1_0 @ X55 @ esk2_0 )
= X55 )
| ( ( esk1_0 @ ( esk13_1 @ X50 ) @ X50 )
= esk2_0 ) )
& ( ( ( esk1_0 @ X56 @ ( esk14_1 @ X56 ) )
= esk2_0 )
| ( ( esk1_0 @ ( esk13_1 @ X50 ) @ X50 )
= esk2_0 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])])])]) ).
thf(c_0_20,negated_conjecture,
! [X2: g,X3: g,X4: g,X5: g,X7: g,X8: g] :
( ( ( esk1_0 @ ( esk1_0 @ X2 @ X3 ) @ X4 )
= ( esk1_0 @ X2 @ ( esk1_0 @ X3 @ X4 ) ) )
| ( ( esk1_0 @ ( esk1_0 @ X5 @ X7 ) @ X8 )
= ( esk1_0 @ X5 @ ( esk1_0 @ X7 @ X8 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
thf(c_0_21,negated_conjecture,
! [X2: g,X3: g] :
( ( ( esk1_0 @ ( esk1_0 @ esk3_0 @ esk4_0 ) @ esk5_0 )
!= ( esk1_0 @ esk3_0 @ ( esk1_0 @ esk4_0 @ esk5_0 ) ) )
| ( ( esk1_0 @ esk2_0 @ esk6_0 )
!= esk6_0 )
| ( ( esk1_0 @ X2 @ esk7_0 )
!= esk2_0 )
| ( ( esk1_0 @ ( esk1_0 @ esk8_0 @ esk9_0 ) @ esk10_0 )
!= ( esk1_0 @ esk8_0 @ ( esk1_0 @ esk9_0 @ esk10_0 ) ) )
| ( ( esk1_0 @ esk11_0 @ esk2_0 )
!= esk11_0 )
| ( ( esk1_0 @ esk12_0 @ X3 )
!= esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
thf(c_0_22,negated_conjecture,
! [X2: g,X3: g,X4: g] :
( ( esk1_0 @ ( esk1_0 @ X2 @ X3 ) @ X4 )
= ( esk1_0 @ X2 @ ( esk1_0 @ X3 @ X4 ) ) ),
inference(ef,[status(thm)],[c_0_20]) ).
thf(c_0_23,negated_conjecture,
! [X2: g,X3: g] :
( ( ( esk1_0 @ X2 @ esk2_0 )
= X2 )
| ( ( esk1_0 @ ( esk13_1 @ X3 ) @ X3 )
= esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
thf(c_0_24,negated_conjecture,
! [X2: g,X3: g] :
( ( ( esk1_0 @ X2 @ esk2_0 )
= X2 )
| ( ( esk1_0 @ esk2_0 @ X3 )
= X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
thf(c_0_25,negated_conjecture,
! [X2: g,X3: g] :
( ( ( esk1_0 @ X2 @ ( esk14_1 @ X2 ) )
= esk2_0 )
| ( ( esk1_0 @ ( esk13_1 @ X3 ) @ X3 )
= esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
thf(c_0_26,negated_conjecture,
! [X2: g,X3: g] :
( ( ( esk1_0 @ esk2_0 @ esk6_0 )
!= esk6_0 )
| ( ( esk1_0 @ esk11_0 @ esk2_0 )
!= esk11_0 )
| ( ( esk1_0 @ X2 @ esk7_0 )
!= esk2_0 )
| ( ( esk1_0 @ esk12_0 @ X3 )
!= esk2_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22]),c_0_22])]) ).
thf(c_0_27,negated_conjecture,
! [X2: g,X3: g,X4: g] :
( ( ( esk1_0 @ X2 @ ( esk1_0 @ X3 @ esk2_0 ) )
= ( esk1_0 @ X2 @ X3 ) )
| ( ( esk1_0 @ ( esk13_1 @ X4 ) @ X4 )
= esk2_0 ) ),
inference(spm,[status(thm)],[c_0_23,c_0_22]) ).
thf(c_0_28,negated_conjecture,
! [X2: g,X3: g,X4: g] :
( ( ( esk1_0 @ X2 @ ( esk1_0 @ X3 @ esk2_0 ) )
= ( esk1_0 @ X2 @ X3 ) )
| ( ( esk1_0 @ esk2_0 @ X4 )
= X4 ) ),
inference(spm,[status(thm)],[c_0_24,c_0_22]) ).
thf(c_0_29,negated_conjecture,
! [X2: g,X3: g,X4: g] :
( ( ( esk1_0 @ X2 @ ( esk1_0 @ X3 @ ( esk14_1 @ ( esk1_0 @ X2 @ X3 ) ) ) )
= esk2_0 )
| ( ( esk1_0 @ ( esk13_1 @ X4 ) @ X4 )
= esk2_0 ) ),
inference(spm,[status(thm)],[c_0_25,c_0_22]) ).
thf(c_0_30,negated_conjecture,
! [X2: g,X3: g,X4: g] :
( ( ( esk1_0 @ X2 @ ( esk1_0 @ X3 @ esk2_0 ) )
= ( esk1_0 @ X2 @ X3 ) )
| ( ( esk1_0 @ esk11_0 @ esk2_0 )
!= esk11_0 )
| ( ( esk1_0 @ esk12_0 @ X4 )
!= esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]) ).
thf(c_0_31,negated_conjecture,
! [X2: g,X3: g,X4: g,X5: g] :
( ( ( esk1_0 @ X2 @ ( esk1_0 @ X3 @ ( esk14_1 @ ( esk1_0 @ X2 @ X3 ) ) ) )
= esk2_0 )
| ( ( esk1_0 @ ( esk13_1 @ X4 ) @ ( esk1_0 @ X4 @ X5 ) )
= ( esk1_0 @ esk2_0 @ X5 ) ) ),
inference(spm,[status(thm)],[c_0_22,c_0_29]) ).
thf(c_0_32,negated_conjecture,
! [X2: g,X3: g,X4: g] :
( ( ( esk1_0 @ ( esk13_1 @ X2 ) @ ( esk1_0 @ X2 @ X3 ) )
= ( esk1_0 @ esk2_0 @ X3 ) )
| ( ( esk1_0 @ X4 @ esk2_0 )
= X4 ) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
thf(c_0_33,negated_conjecture,
! [X2: g,X3: g,X4: g,X5: g] :
( ( ( esk1_0 @ ( esk13_1 @ X2 ) @ ( esk1_0 @ X2 @ X3 ) )
= ( esk1_0 @ esk2_0 @ X3 ) )
| ( ( esk1_0 @ X4 @ ( esk1_0 @ X5 @ esk2_0 ) )
= ( esk1_0 @ X4 @ X5 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]) ).
thf(c_0_34,negated_conjecture,
( ( esk1_0 @ esk2_0 @ esk2_0 )
= esk2_0 ),
inference(ef,[status(thm)],[c_0_24]) ).
thf(c_0_35,negated_conjecture,
! [X2: g] :
( ( ( esk1_0 @ ( esk13_1 @ X2 ) @ ( esk1_0 @ X2 @ esk2_0 ) )
= esk2_0 )
| ( ( esk1_0 @ ( esk13_1 @ X2 ) @ X2 )
!= esk2_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(ef,[status(thm)],[c_0_33]),c_0_34]),c_0_34]) ).
thf(c_0_36,negated_conjecture,
! [X2: g,X3: g] :
( ( ( esk1_0 @ ( esk13_1 @ X2 ) @ ( esk1_0 @ X2 @ esk2_0 ) )
= esk2_0 )
| ( ( esk1_0 @ X3 @ esk2_0 )
= X3 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_23]) ).
thf(c_0_37,negated_conjecture,
! [X2: g,X3: g,X4: g] :
( ( ( esk1_0 @ ( esk13_1 @ X2 ) @ ( esk1_0 @ X2 @ ( esk1_0 @ esk2_0 @ X3 ) ) )
= ( esk1_0 @ esk2_0 @ X3 ) )
| ( ( esk1_0 @ X4 @ esk2_0 )
= X4 ) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_36]),c_0_22]) ).
thf(c_0_38,negated_conjecture,
! [X2: g,X3: g,X4: g,X5: g] :
( ( ( esk1_0 @ ( esk13_1 @ X2 ) @ ( esk1_0 @ X2 @ X3 ) )
= X3 )
| ( ( esk1_0 @ X4 @ esk2_0 )
= X4 )
| ( ( esk1_0 @ X5 @ esk2_0 )
= X5 ) ),
inference(spm,[status(thm)],[c_0_37,c_0_24]) ).
thf(c_0_39,negated_conjecture,
! [X2: g,X3: g,X4: g] :
( ( ( esk1_0 @ ( esk13_1 @ X2 ) @ ( esk1_0 @ X2 @ X3 ) )
= X3 )
| ( ( esk1_0 @ X4 @ esk2_0 )
= X4 ) ),
inference(ef,[status(thm)],[c_0_38]) ).
thf(c_0_40,negated_conjecture,
! [X2: g,X3: g,X4: g] :
( ( ( esk1_0 @ ( esk13_1 @ ( esk13_1 @ X2 ) ) @ esk2_0 )
= X2 )
| ( ( esk1_0 @ X3 @ esk2_0 )
= X3 )
| ( ( esk1_0 @ X4 @ esk2_0 )
= X4 ) ),
inference(spm,[status(thm)],[c_0_39,c_0_23]) ).
thf(c_0_41,negated_conjecture,
! [X2: g,X3: g] :
( ( ( esk1_0 @ ( esk13_1 @ ( esk13_1 @ X2 ) ) @ esk2_0 )
= X2 )
| ( ( esk1_0 @ X3 @ esk2_0 )
= X3 ) ),
inference(ef,[status(thm)],[c_0_40]) ).
thf(c_0_42,negated_conjecture,
! [X2: g,X3: g,X4: g] :
( ( ( esk1_0 @ ( esk13_1 @ ( esk13_1 @ X2 ) ) @ ( esk1_0 @ esk2_0 @ X3 ) )
= ( esk1_0 @ X2 @ X3 ) )
| ( ( esk1_0 @ X4 @ esk2_0 )
= X4 ) ),
inference(spm,[status(thm)],[c_0_22,c_0_41]) ).
thf(c_0_43,negated_conjecture,
! [X2: g,X3: g] :
( ( ( esk1_0 @ ( esk13_1 @ ( esk13_1 @ X2 ) ) @ esk2_0 )
= ( esk1_0 @ X2 @ esk2_0 ) )
| ( ( esk1_0 @ X3 @ esk2_0 )
= X3 ) ),
inference(spm,[status(thm)],[c_0_42,c_0_34]) ).
thf(c_0_44,negated_conjecture,
! [X2: g] :
( ( ( esk1_0 @ esk2_0 @ ( esk1_0 @ X2 @ esk2_0 ) )
= ( esk1_0 @ esk2_0 @ X2 ) )
| ( ( esk1_0 @ X2 @ esk2_0 )
!= ( esk1_0 @ esk2_0 @ X2 ) ) ),
inference(ef,[status(thm)],[c_0_28]) ).
thf(c_0_45,negated_conjecture,
! [X2: g,X3: g,X4: g] :
( ( ( esk1_0 @ X2 @ esk2_0 )
= X2 )
| ( ( esk1_0 @ X3 @ esk2_0 )
= X3 )
| ( ( esk1_0 @ X4 @ esk2_0 )
= X4 ) ),
inference(spm,[status(thm)],[c_0_41,c_0_43]) ).
thf(c_0_46,negated_conjecture,
! [X2: g,X3: g] :
( ( ( esk1_0 @ esk2_0 @ ( esk1_0 @ X2 @ ( esk1_0 @ X3 @ esk2_0 ) ) )
= ( esk1_0 @ esk2_0 @ ( esk1_0 @ X2 @ X3 ) ) )
| ( ( esk1_0 @ X2 @ ( esk1_0 @ X3 @ esk2_0 ) )
!= ( esk1_0 @ esk2_0 @ ( esk1_0 @ X2 @ X3 ) ) ) ),
inference(spm,[status(thm)],[c_0_44,c_0_22]) ).
thf(c_0_47,negated_conjecture,
! [X2: g,X3: g] :
( ( ( esk1_0 @ X2 @ ( esk14_1 @ X2 ) )
= esk2_0 )
| ( ( esk1_0 @ esk2_0 @ X3 )
= X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
thf(c_0_48,negated_conjecture,
! [X2: g,X3: g] :
( ( ( esk1_0 @ X2 @ esk2_0 )
= X2 )
| ( ( esk1_0 @ X3 @ esk2_0 )
= X3 ) ),
inference(ef,[status(thm)],[c_0_45]) ).
thf(c_0_49,negated_conjecture,
! [X3: g,X2: g] :
( ( ( esk1_0 @ esk2_0 @ ( esk1_0 @ X2 @ ( esk1_0 @ ( esk14_1 @ X2 ) @ esk2_0 ) ) )
= esk2_0 )
| ( ( esk1_0 @ esk2_0 @ X3 )
= X3 )
| ( ( esk1_0 @ X2 @ ( esk1_0 @ ( esk14_1 @ X2 ) @ esk2_0 ) )
!= esk2_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_34]),c_0_34]) ).
thf(c_0_50,negated_conjecture,
! [X2: g] :
( ( esk1_0 @ X2 @ esk2_0 )
= X2 ),
inference(ef,[status(thm)],[c_0_48]) ).
thf(c_0_51,negated_conjecture,
! [X2: g,X3: g,X4: g] :
( ( ( esk1_0 @ esk2_0 @ ( esk1_0 @ X2 @ ( esk14_1 @ X2 ) ) )
= esk2_0 )
| ( ( esk1_0 @ esk2_0 @ X3 )
= X3 )
| ( ( esk1_0 @ esk2_0 @ X4 )
= X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_24]),c_0_47]) ).
thf(c_0_52,negated_conjecture,
! [X2: g,X3: g] :
( ( esk1_0 @ X2 @ ( esk1_0 @ esk2_0 @ X3 ) )
= ( esk1_0 @ X2 @ X3 ) ),
inference(spm,[status(thm)],[c_0_22,c_0_50]) ).
thf(c_0_53,negated_conjecture,
! [X2: g,X3: g] :
( ( ( esk1_0 @ esk2_0 @ ( esk1_0 @ X2 @ ( esk14_1 @ X2 ) ) )
= esk2_0 )
| ( ( esk1_0 @ esk2_0 @ X3 )
= X3 ) ),
inference(csr,[status(thm)],[inference(ef,[status(thm)],[c_0_51]),c_0_47]) ).
thf(c_0_54,negated_conjecture,
! [X2: g,X3: g,X4: g] :
( ( ( esk1_0 @ X2 @ ( esk1_0 @ ( esk14_1 @ X2 ) @ X3 ) )
= ( esk1_0 @ esk2_0 @ X3 ) )
| ( ( esk1_0 @ esk2_0 @ X4 )
= X4 ) ),
inference(spm,[status(thm)],[c_0_22,c_0_47]) ).
thf(c_0_55,negated_conjecture,
! [X2: g,X3: g,X4: g] :
( ( ( esk1_0 @ X2 @ ( esk1_0 @ X3 @ ( esk14_1 @ X3 ) ) )
= X2 )
| ( ( esk1_0 @ esk2_0 @ X4 )
= X4 ) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_50]) ).
thf(c_0_56,negated_conjecture,
! [X2: g,X3: g,X4: g] :
( ( ( esk1_0 @ esk2_0 @ ( esk14_1 @ ( esk14_1 @ X2 ) ) )
= X2 )
| ( ( esk1_0 @ esk2_0 @ X3 )
= X3 )
| ( ( esk1_0 @ esk2_0 @ X4 )
= X4 ) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
thf(c_0_57,negated_conjecture,
! [X2: g,X3: g,X4: g] :
( ( ( esk1_0 @ ( esk13_1 @ X2 ) @ ( esk1_0 @ X2 @ X3 ) )
= ( esk1_0 @ esk2_0 @ X3 ) )
| ( ( esk1_0 @ X4 @ ( esk14_1 @ X4 ) )
= esk2_0 ) ),
inference(spm,[status(thm)],[c_0_22,c_0_25]) ).
thf(c_0_58,negated_conjecture,
! [X2: g,X3: g] :
( ( ( esk1_0 @ esk2_0 @ ( esk14_1 @ ( esk14_1 @ X2 ) ) )
= X2 )
| ( ( esk1_0 @ esk2_0 @ X3 )
= X3 ) ),
inference(ef,[status(thm)],[c_0_56]) ).
thf(c_0_59,negated_conjecture,
! [X2: g,X3: g,X4: g,X5: g] :
( ( ( esk1_0 @ ( esk13_1 @ ( esk13_1 @ X2 ) ) @ X3 )
= ( esk1_0 @ esk2_0 @ ( esk1_0 @ X2 @ X3 ) ) )
| ( ( esk1_0 @ X4 @ ( esk14_1 @ X4 ) )
= esk2_0 )
| ( ( esk1_0 @ X5 @ ( esk14_1 @ X5 ) )
= esk2_0 ) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_57]),c_0_52]) ).
thf(c_0_60,negated_conjecture,
! [X2: g,X3: g,X4: g] :
( ( ( esk1_0 @ X2 @ ( esk14_1 @ ( esk14_1 @ X3 ) ) )
= ( esk1_0 @ X2 @ X3 ) )
| ( ( esk1_0 @ esk2_0 @ X4 )
= X4 ) ),
inference(spm,[status(thm)],[c_0_52,c_0_58]) ).
thf(c_0_61,negated_conjecture,
! [X2: g,X3: g,X4: g] :
( ( ( esk1_0 @ ( esk13_1 @ ( esk13_1 @ X2 ) ) @ X3 )
= ( esk1_0 @ esk2_0 @ ( esk1_0 @ X2 @ X3 ) ) )
| ( ( esk1_0 @ X4 @ ( esk14_1 @ X4 ) )
= esk2_0 ) ),
inference(ef,[status(thm)],[c_0_59]) ).
thf(c_0_62,negated_conjecture,
! [X2: g,X3: g,X4: g] :
( ( ( esk1_0 @ esk2_0 @ X2 )
= X2 )
| ( ( esk1_0 @ esk2_0 @ X3 )
= X3 )
| ( ( esk1_0 @ esk2_0 @ X4 )
= X4 ) ),
inference(spm,[status(thm)],[c_0_58,c_0_60]) ).
thf(c_0_63,negated_conjecture,
! [X2: g,X3: g] :
( ( ( esk13_1 @ ( esk13_1 @ X2 ) )
= ( esk1_0 @ esk2_0 @ X2 ) )
| ( ( esk1_0 @ X3 @ ( esk14_1 @ X3 ) )
= esk2_0 ) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_61]),c_0_50]) ).
thf(c_0_64,negated_conjecture,
! [X2: g,X3: g] :
( ( ( esk1_0 @ esk2_0 @ X2 )
= X2 )
| ( ( esk1_0 @ esk2_0 @ X3 )
= X3 ) ),
inference(ef,[status(thm)],[c_0_62]) ).
thf(c_0_65,negated_conjecture,
! [X2: g,X3: g,X4: g] :
( ( ( esk1_0 @ X2 @ ( esk1_0 @ ( esk14_1 @ X2 ) @ X3 ) )
= ( esk1_0 @ esk2_0 @ X3 ) )
| ( ( esk13_1 @ ( esk13_1 @ X4 ) )
= ( esk1_0 @ esk2_0 @ X4 ) ) ),
inference(spm,[status(thm)],[c_0_22,c_0_63]) ).
thf(c_0_66,negated_conjecture,
! [X2: g] :
( ( esk1_0 @ esk2_0 @ X2 )
= X2 ),
inference(ef,[status(thm)],[c_0_64]) ).
thf(c_0_67,negated_conjecture,
! [X2: g,X3: g,X4: g] :
( ( ( esk1_0 @ X2 @ ( esk1_0 @ X3 @ esk7_0 ) )
!= esk2_0 )
| ( ( esk1_0 @ esk2_0 @ esk6_0 )
!= esk6_0 )
| ( ( esk1_0 @ esk11_0 @ esk2_0 )
!= esk11_0 )
| ( ( esk1_0 @ esk12_0 @ X4 )
!= esk2_0 ) ),
inference(spm,[status(thm)],[c_0_26,c_0_22]) ).
thf(c_0_68,negated_conjecture,
! [X2: g,X3: g,X4: g] :
( ( ( esk1_0 @ X2 @ ( esk1_0 @ ( esk14_1 @ X2 ) @ X3 ) )
= X3 )
| ( ( esk13_1 @ ( esk13_1 @ X4 ) )
= X4 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_66]),c_0_66]) ).
thf(c_0_69,negated_conjecture,
! [X2: g,X3: g] :
( ( ( esk1_0 @ X2 @ ( esk14_1 @ X2 ) )
= esk2_0 )
| ( ( esk13_1 @ ( esk13_1 @ X3 ) )
= X3 ) ),
inference(rw,[status(thm)],[c_0_63,c_0_66]) ).
thf(c_0_70,negated_conjecture,
! [X2: g,X3: g,X4: g] :
( ( ( esk1_0 @ X2 @ ( esk1_0 @ X3 @ esk7_0 ) )
!= esk2_0 )
| ( ( esk1_0 @ esk2_0 @ esk6_0 )
!= esk6_0 )
| ( ( esk1_0 @ esk12_0 @ X4 )
!= esk2_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_50])]) ).
thf(c_0_71,negated_conjecture,
! [X2: g,X3: g,X4: g] :
( ( ( esk13_1 @ ( esk13_1 @ X2 ) )
= X2 )
| ( ( esk13_1 @ ( esk13_1 @ X3 ) )
= X3 )
| ( ( esk14_1 @ ( esk14_1 @ X4 ) )
= X4 ) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_50]) ).
thf(c_0_72,negated_conjecture,
! [X2: g,X3: g,X4: g,X5: g] :
( ( ( esk13_1 @ ( esk13_1 @ X2 ) )
= ( esk1_0 @ esk2_0 @ X2 ) )
| ( ( esk1_0 @ X3 @ ( esk1_0 @ X4 @ esk7_0 ) )
!= esk2_0 )
| ( ( esk1_0 @ esk2_0 @ esk6_0 )
!= esk6_0 )
| ( ( esk1_0 @ esk2_0 @ X5 )
!= esk2_0 ) ),
inference(spm,[status(thm)],[c_0_70,c_0_65]) ).
thf(c_0_73,negated_conjecture,
! [X2: g,X3: g] :
( ( ( esk14_1 @ ( esk14_1 @ X2 ) )
= X2 )
| ( ( esk13_1 @ ( esk13_1 @ X3 ) )
= X3 ) ),
inference(ef,[status(thm)],[c_0_71]) ).
thf(c_0_74,negated_conjecture,
! [X2: g,X3: g,X4: g] :
( ( ( esk13_1 @ ( esk13_1 @ X2 ) )
= ( esk1_0 @ esk2_0 @ X2 ) )
| ( ( esk1_0 @ X3 @ ( esk1_0 @ X4 @ esk7_0 ) )
!= esk2_0 )
| ( ( esk1_0 @ esk2_0 @ esk6_0 )
!= esk6_0 ) ),
inference(spm,[status(thm)],[c_0_72,c_0_50]) ).
thf(c_0_75,negated_conjecture,
! [X2: g,X3: g,X4: g] :
( ( ( esk1_0 @ ( esk14_1 @ X2 ) @ X2 )
= esk2_0 )
| ( ( esk13_1 @ ( esk13_1 @ X3 ) )
= X3 )
| ( ( esk13_1 @ ( esk13_1 @ X4 ) )
= X4 ) ),
inference(spm,[status(thm)],[c_0_69,c_0_73]) ).
thf(c_0_76,negated_conjecture,
! [X2: g,X3: g,X4: g] :
( ( ( esk13_1 @ ( esk13_1 @ X2 ) )
= X2 )
| ( ( esk1_0 @ X3 @ ( esk1_0 @ X4 @ esk7_0 ) )
!= esk2_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_66]),c_0_66])]) ).
thf(c_0_77,negated_conjecture,
! [X2: g,X3: g] :
( ( ( esk1_0 @ ( esk14_1 @ X2 ) @ X2 )
= esk2_0 )
| ( ( esk13_1 @ ( esk13_1 @ X3 ) )
= X3 ) ),
inference(ef,[status(thm)],[c_0_75]) ).
thf(c_0_78,negated_conjecture,
! [X2: g,X3: g] :
( ( ( esk13_1 @ ( esk13_1 @ X2 ) )
= X2 )
| ( ( esk13_1 @ ( esk13_1 @ X3 ) )
= X3 ) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
thf(c_0_79,negated_conjecture,
! [X2: g,X3: g] :
( ( ( esk1_0 @ X2 @ ( esk14_1 @ X2 ) )
= esk2_0 )
| ( ( esk1_0 @ esk11_0 @ esk2_0 )
!= esk11_0 )
| ( ( esk1_0 @ esk12_0 @ X3 )
!= esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_25]),c_0_47]) ).
thf(c_0_80,negated_conjecture,
! [X2: g] :
( ( esk13_1 @ ( esk13_1 @ X2 ) )
= X2 ),
inference(ef,[status(thm)],[c_0_78]) ).
thf(c_0_81,negated_conjecture,
! [X2: g,X3: g] :
( ( ( esk1_0 @ X2 @ ( esk14_1 @ X2 ) )
= esk2_0 )
| ( ( esk1_0 @ esk12_0 @ X3 )
!= esk2_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_50])]) ).
thf(c_0_82,negated_conjecture,
! [X2: g,X3: g] :
( ( ( esk1_0 @ X2 @ ( esk13_1 @ X2 ) )
= esk2_0 )
| ( ( esk1_0 @ X3 @ ( esk14_1 @ X3 ) )
= esk2_0 ) ),
inference(spm,[status(thm)],[c_0_25,c_0_80]) ).
thf(c_0_83,negated_conjecture,
! [X2: g,X3: g] :
( ( ( esk1_0 @ X2 @ ( esk14_1 @ X2 ) )
= esk2_0 )
| ( ( esk1_0 @ X3 @ ( esk14_1 @ X3 ) )
= esk2_0 ) ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
thf(c_0_84,negated_conjecture,
! [X2: g] :
( ( esk1_0 @ X2 @ ( esk14_1 @ X2 ) )
= esk2_0 ),
inference(ef,[status(thm)],[c_0_83]) ).
thf(c_0_85,negated_conjecture,
! [X2: g,X3: g,X4: g] :
( ( ( esk1_0 @ X2 @ ( esk1_0 @ X3 @ esk7_0 ) )
!= esk2_0 )
| ( ( esk1_0 @ esk12_0 @ X4 )
!= esk2_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_66])]) ).
thf(c_0_86,negated_conjecture,
! [X2: g,X3: g] :
( ( esk1_0 @ X2 @ ( esk1_0 @ ( esk14_1 @ X2 ) @ X3 ) )
= X3 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_84]),c_0_66]) ).
thf(c_0_87,negated_conjecture,
! [X2: g,X3: g] :
( ( esk1_0 @ X2 @ ( esk1_0 @ X3 @ esk7_0 ) )
!= esk2_0 ),
inference(spm,[status(thm)],[c_0_85,c_0_84]) ).
thf(c_0_88,negated_conjecture,
! [X2: g] :
( ( esk14_1 @ ( esk14_1 @ X2 ) )
= X2 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_84]),c_0_50]) ).
thf(c_0_89,negated_conjecture,
! [X2: g] :
( ( esk1_0 @ X2 @ esk7_0 )
!= esk2_0 ),
inference(spm,[status(thm)],[c_0_87,c_0_66]) ).
thf(c_0_90,negated_conjecture,
! [X2: g] :
( ( esk1_0 @ ( esk14_1 @ X2 ) @ X2 )
= esk2_0 ),
inference(spm,[status(thm)],[c_0_84,c_0_88]) ).
thf(c_0_91,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_89,c_0_90]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG273^5 : TPTP v9.3.1. Bugfixed v5.3.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.18 % Computer : n010.cluster.edu
% 0.10/0.18 % Model : x86_64 x86_64
% 0.10/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.18 % Memory : 8046.5625MB
% 0.10/0.18 % OS : Linux 6.8.0-71-generic
% 0.10/0.18 % CPULimit : 300
% 0.10/0.18 % WCLimit : 300
% 0.10/0.18 % DateTime : Tue Sep 29 17:36:48 UTC 2026
% 0.10/0.18 % CPUTime :
% 0.10/0.18 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.26 Running higher-order theorem proving
% 0.10/0.28 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/tmp/tmp.lFpcq388cE/E---3.1_3186847.p
% 12.80/1.99 % Version: 3.5.1-ho
% 12.80/1.99 % Preprocessing class: HSSSSMSSSLSNHSN.
% 12.80/1.99 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.80/1.99 % Starting ho_unfolding_3 with 1500s (5) cores
% 12.80/1.99 % Starting lpo8_lambda_fix with 300s (1) cores
% 12.80/1.99 % Starting lpo8_s with 300s (1) cores
% 12.80/1.99 % Starting new_bool_11 with 300s (1) cores
% 12.80/1.99 % ho_unfolding_3 with pid 3186860 completed with status 0
% 12.80/1.99 % Result found by ho_unfolding_3
% 12.80/1.99 % Preprocessing class: HSSSSMSSSLSNHSN.
% 12.80/1.99 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.80/1.99 % Starting ho_unfolding_3 with 1500s (5) cores
% 12.80/1.99 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 12.80/1.99 % No SInE strategy applied
% 12.80/1.99 % Search class: HGHPF-FFSF11-SHSFMFNN
% 12.80/1.99 % partial match(1): HGHPF-FFMF11-SHSFMFNN
% 12.80/1.99 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 12.80/1.99 % Starting SubtermCWHack with 136s (1) cores
% 12.80/1.99 % Starting ho_unfolding_3 with 151s (1) cores
% 12.80/1.99 % Starting sh5l with 136s (1) cores
% 12.80/1.99 % Starting new_bool_1 with 136s (1) cores
% 12.80/1.99 % Starting lpo1_def_fix with 136s (1) cores
% 12.80/1.99 % new_bool_1 with pid 3186870 completed with status 0
% 12.80/1.99 % Result found by new_bool_1
% 12.80/1.99 % Preprocessing class: HSSSSMSSSLSNHSN.
% 12.80/1.99 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.80/1.99 % Starting ho_unfolding_3 with 1500s (5) cores
% 12.80/1.99 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 12.80/1.99 % No SInE strategy applied
% 12.80/1.99 % Search class: HGHPF-FFSF11-SHSFMFNN
% 12.80/1.99 % partial match(1): HGHPF-FFMF11-SHSFMFNN
% 12.80/1.99 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 12.80/1.99 % Starting SubtermCWHack with 136s (1) cores
% 12.80/1.99 % Starting ho_unfolding_3 with 151s (1) cores
% 12.80/1.99 % Starting sh5l with 136s (1) cores
% 12.80/1.99 % Starting new_bool_1 with 136s (1) cores
% 12.80/1.99 % Preprocessing time : 0.001 s
% 12.80/1.99 % Presaturation interreduction done
% 12.80/1.99
% 12.80/1.99 % Proof found!
% 12.80/1.99 % SZS status Theorem
% 12.80/1.99 % SZS output start CNFRefutation
% See solution above
% 12.80/1.99 % Parsed axioms : 16
% 12.80/1.99 % Removed by relevancy pruning/SinE : 0
% 12.80/1.99 % Initial clauses : 18
% 12.80/1.99 % Removed in clause preprocessing : 8
% 12.80/1.99 % Initial clauses in saturation : 10
% 12.80/1.99 % Processed clauses : 3777
% 12.80/1.99 % ...of these trivial : 172
% 12.80/1.99 % ...subsumed : 3025
% 12.80/1.99 % ...remaining for further processing : 580
% 12.80/1.99 % Other redundant clauses eliminated : 569
% 12.80/1.99 % Clauses deleted for lack of memory : 0
% 12.80/1.99 % Backward-subsumed : 162
% 12.80/1.99 % Backward-rewritten : 375
% 12.80/1.99 % Generated clauses : 47934
% 12.80/1.99 % ...of the previous two non-redundant : 40069
% 12.80/1.99 % ...aggressively subsumed : 0
% 12.80/1.99 % Contextual simplify-reflections : 28
% 12.80/1.99 % Paramodulations : 47111
% 12.80/1.99 % Factorizations : 220
% 12.80/1.99 % NegExts : 0
% 12.80/1.99 % Equation resolutions : 575
% 12.80/1.99 % Disequality decompositions : 0
% 12.80/1.99 % Total rewrite steps : 39594
% 12.80/1.99 % ...of those cached : 38561
% 12.80/1.99 % Propositional unsat checks : 0
% 12.80/1.99 % Propositional check models : 0
% 12.80/1.99 % Propositional check unsatisfiable : 0
% 12.80/1.99 % Propositional clauses : 0
% 12.80/1.99 % Propositional clauses after purity: 0
% 12.80/1.99 % Propositional unsat core size : 0
% 12.80/1.99 % Propositional preprocessing time : 0.000
% 12.80/1.99 % Propositional encoding time : 0.000
% 12.80/1.99 % Propositional solver time : 0.000
% 12.80/1.99 % Success case prop preproc time : 0.000
% 12.80/1.99 % Success case prop encoding time : 0.000
% 12.80/1.99 % Success case prop solver time : 0.000
% 12.80/1.99 % Current number of processed clauses : 33
% 12.80/1.99 % Positive orientable unit clauses : 10
% 12.80/1.99 % Positive unorientable unit clauses: 0
% 12.80/1.99 % Negative unit clauses : 5
% 12.80/1.99 % Non-unit-clauses : 18
% 12.80/1.99 % Current number of unprocessed clauses: 4773
% 12.80/1.99 % ...number of literals in the above : 15219
% 12.80/1.99 % Current number of archived formulas : 0
% 12.80/1.99 % Current number of archived clauses : 547
% 12.80/1.99 % Clause-clause subsumption calls (NU) : 54033
% 12.80/1.99 % Rec. Clause-clause subsumption calls : 27380
% 12.80/1.99 % Non-unit clause-clause subsumptions : 3118
% 12.80/1.99 % Unit Clause-clause subsumption calls : 458
% 12.80/1.99 % Rewrite failures with RHS unbound : 0
% 12.80/1.99 % BW rewrite match attempts : 87
% 12.80/1.99 % BW rewrite match successes : 78
% 12.80/1.99 % Condensation attempts : 0
% 12.80/1.99 % Condensation successes : 0
% 12.80/1.99 % Termbank termtop insertions : 4147289
% 12.80/1.99 % Search garbage collected termcells : 413
% 12.80/1.99
% 12.80/1.99 % -------------------------------------------------
% 12.80/1.99 % User time : 1.645 s
% 12.80/1.99 % System time : 0.025 s
% 12.80/1.99 % Total time : 1.669 s
% 12.80/1.99 % Maximum resident set size: 3640 pages
% 12.80/1.99
% 12.80/1.99 % -------------------------------------------------
% 12.80/1.99 % User time : 8.192 s
% 12.80/1.99 % System time : 0.165 s
% 12.80/1.99 % Total time : 8.357 s
% 12.80/1.99 % Maximum resident set size: 4864 pages
% 12.80/1.99 % E exiting
%------------------------------------------------------------------------------