TSTP Solution File: SYO893^11 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SYO893^11 : TPTP v8.2.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n002.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 08:50:31 EDT 2024
% Result : Theorem 11.88s 2.00s
% Output : CNFRefutation 11.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 74
% Number of leaves : 23
% Syntax : Number of formulae : 206 ( 35 unt; 15 typ; 0 def)
% Number of atoms : 528 ( 10 equ; 0 cnn)
% Maximal formula atoms : 50 ( 2 avg)
% Number of connectives : 1728 ( 138 ~; 291 |; 18 &;1272 @)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 35 ( 35 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 4 con; 0-3 aty)
% Number of variables : 139 ( 20 ^ 114 !; 5 ?; 139 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
mworld: $tType ).
thf(decl_22,type,
mrel: mworld > mworld > $o ).
thf(decl_23,type,
mactual: mworld ).
thf(decl_24,type,
mlocal: ( mworld > $o ) > $o ).
thf(decl_25,type,
mnot: ( mworld > $o ) > mworld > $o ).
thf(decl_29,type,
mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(decl_30,type,
mbox: ( mworld > $o ) > mworld > $o ).
thf(decl_31,type,
mdia: ( mworld > $o ) > mworld > $o ).
thf(decl_32,type,
p: mworld > $o ).
thf(decl_33,type,
esk1_1: mworld > mworld ).
thf(decl_34,type,
esk2_1: mworld > mworld ).
thf(decl_35,type,
esk3_0: mworld ).
thf(decl_36,type,
esk4_1: mworld > mworld ).
thf(decl_37,type,
esk5_0: mworld ).
thf(decl_38,type,
esk6_1: mworld > mworld ).
thf(mlocal_def,axiom,
( mlocal
= ( ^ [X1: mworld > $o] : ( X1 @ mactual ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mlocal_def) ).
thf(mnot_def,axiom,
( mnot
= ( ^ [X2: mworld > $o,X3: mworld] :
~ ( X2 @ X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot_def) ).
thf(mequiv_def,axiom,
( mequiv
= ( ^ [X2: mworld > $o,X4: mworld > $o,X3: mworld] :
( ( X2 @ X3 )
<=> ( X4 @ X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mequiv_def) ).
thf(mbox_def,axiom,
( mbox
= ( ^ [X1: mworld > $o,X3: mworld] :
! [X5: mworld] :
( ( mrel @ X3 @ X5 )
=> ( X1 @ X5 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox_def) ).
thf(mdia_def,axiom,
( mdia
= ( ^ [X1: mworld > $o,X3: mworld] :
? [X5: mworld] :
( ( mrel @ X3 @ X5 )
& ( X1 @ X5 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mdia_def) ).
thf(mrel_euclidean,axiom,
! [X3: mworld,X5: mworld,X6: mworld] :
( ( ( mrel @ X3 @ X6 )
& ( mrel @ X3 @ X5 ) )
=> ( mrel @ X6 @ X5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_euclidean) ).
thf(mrel_reflexive,axiom,
! [X3: mworld] : ( mrel @ X3 @ X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_reflexive) ).
thf(con,conjecture,
mlocal @ ( mequiv @ ( mnot @ ( mbox @ ( mdia @ ( mbox @ p ) ) ) ) @ ( mdia @ ( mbox @ ( mdia @ ( mnot @ p ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(c_0_8,plain,
( mlocal
= ( ^ [Z0: mworld > $o] : ( Z0 @ mactual ) ) ),
inference(fof_simplification,[status(thm)],[mlocal_def]) ).
thf(c_0_9,plain,
( mnot
= ( ^ [Z0: mworld > $o,Z1: mworld] :
~ ( Z0 @ Z1 ) ) ),
inference(fof_simplification,[status(thm)],[mnot_def]) ).
thf(c_0_10,plain,
( mequiv
= ( ^ [Z0: mworld > $o,Z1: mworld > $o,Z2: mworld] :
( ( Z0 @ Z2 )
<=> ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mequiv_def]) ).
thf(c_0_11,plain,
( mbox
= ( ^ [Z0: mworld > $o,Z1: mworld] :
! [X5: mworld] :
( ( mrel @ Z1 @ X5 )
=> ( Z0 @ X5 ) ) ) ),
inference(fof_simplification,[status(thm)],[mbox_def]) ).
thf(c_0_12,plain,
( mdia
= ( ^ [Z0: mworld > $o,Z1: mworld] :
? [X5: mworld] :
( ( mrel @ Z1 @ X5 )
& ( Z0 @ X5 ) ) ) ),
inference(fof_simplification,[status(thm)],[mdia_def]) ).
thf(c_0_13,plain,
! [X18: mworld,X19: mworld,X20: mworld] :
( ~ ( mrel @ X18 @ X20 )
| ~ ( mrel @ X18 @ X19 )
| ( mrel @ X20 @ X19 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mrel_euclidean])])]) ).
thf(c_0_14,plain,
! [X17: mworld] : ( mrel @ X17 @ X17 ),
inference(variable_rename,[status(thm)],[mrel_reflexive]) ).
thf(c_0_15,negated_conjecture,
~ ( ~ ! [X13: mworld] :
( ( mrel @ mactual @ X13 )
=> ? [X12: mworld] :
( ( mrel @ X13 @ X12 )
& ! [X11: mworld] :
( ( mrel @ X12 @ X11 )
=> ( p @ X11 ) ) ) )
<=> ? [X16: mworld] :
( ( mrel @ mactual @ X16 )
& ! [X15: mworld] :
( ( mrel @ X16 @ X15 )
=> ? [X14: mworld] :
( ( mrel @ X15 @ X14 )
& ~ ( p @ X14 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[con]),c_0_8]),c_0_9]),c_0_10]),c_0_11]),c_0_12])]) ).
thf(c_0_16,plain,
! [X3: mworld,X5: mworld,X6: mworld] :
( ( mrel @ X5 @ X6 )
| ~ ( mrel @ X3 @ X5 )
| ~ ( mrel @ X3 @ X6 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_17,plain,
! [X3: mworld] : ( mrel @ X3 @ X3 ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
thf(c_0_18,negated_conjecture,
! [X21: mworld,X23: mworld,X24: mworld,X26: mworld,X28: mworld,X31: mworld] :
( ( ( mrel @ X24 @ ( esk2_1 @ X24 ) )
| ~ ( mrel @ mactual @ X24 )
| ( mrel @ X21 @ ( esk1_1 @ X21 ) )
| ~ ( mrel @ mactual @ X21 ) )
& ( ~ ( mrel @ ( esk2_1 @ X24 ) @ X26 )
| ( p @ X26 )
| ~ ( mrel @ mactual @ X24 )
| ( mrel @ X21 @ ( esk1_1 @ X21 ) )
| ~ ( mrel @ mactual @ X21 ) )
& ( ( mrel @ X24 @ ( esk2_1 @ X24 ) )
| ~ ( mrel @ mactual @ X24 )
| ~ ( mrel @ ( esk1_1 @ X21 ) @ X23 )
| ( p @ X23 )
| ~ ( mrel @ mactual @ X21 ) )
& ( ~ ( mrel @ ( esk2_1 @ X24 ) @ X26 )
| ( p @ X26 )
| ~ ( mrel @ mactual @ X24 )
| ~ ( mrel @ ( esk1_1 @ X21 ) @ X23 )
| ( p @ X23 )
| ~ ( mrel @ mactual @ X21 ) )
& ( ( mrel @ mactual @ esk5_0 )
| ( mrel @ mactual @ esk3_0 ) )
& ( ( mrel @ X31 @ ( esk6_1 @ X31 ) )
| ~ ( mrel @ esk5_0 @ X31 )
| ( mrel @ mactual @ esk3_0 ) )
& ( ~ ( p @ ( esk6_1 @ X31 ) )
| ~ ( mrel @ esk5_0 @ X31 )
| ( mrel @ mactual @ esk3_0 ) )
& ( ( mrel @ mactual @ esk5_0 )
| ( mrel @ X28 @ ( esk4_1 @ X28 ) )
| ~ ( mrel @ esk3_0 @ X28 ) )
& ( ( mrel @ X31 @ ( esk6_1 @ X31 ) )
| ~ ( mrel @ esk5_0 @ X31 )
| ( mrel @ X28 @ ( esk4_1 @ X28 ) )
| ~ ( mrel @ esk3_0 @ X28 ) )
& ( ~ ( p @ ( esk6_1 @ X31 ) )
| ~ ( mrel @ esk5_0 @ X31 )
| ( mrel @ X28 @ ( esk4_1 @ X28 ) )
| ~ ( mrel @ esk3_0 @ X28 ) )
& ( ( mrel @ mactual @ esk5_0 )
| ~ ( p @ ( esk4_1 @ X28 ) )
| ~ ( mrel @ esk3_0 @ X28 ) )
& ( ( mrel @ X31 @ ( esk6_1 @ X31 ) )
| ~ ( mrel @ esk5_0 @ X31 )
| ~ ( p @ ( esk4_1 @ X28 ) )
| ~ ( mrel @ esk3_0 @ X28 ) )
& ( ~ ( p @ ( esk6_1 @ X31 ) )
| ~ ( mrel @ esk5_0 @ X31 )
| ~ ( p @ ( esk4_1 @ X28 ) )
| ~ ( mrel @ esk3_0 @ X28 ) ) ),
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_15])])])])])]) ).
thf(c_0_19,plain,
! [X5: mworld,X3: mworld] :
( ( mrel @ X3 @ X5 )
| ~ ( mrel @ X5 @ X3 ) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
thf(c_0_20,negated_conjecture,
( ( mrel @ mactual @ esk5_0 )
| ( mrel @ mactual @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
thf(c_0_21,negated_conjecture,
( ( mrel @ mactual @ esk3_0 )
| ( mrel @ esk5_0 @ mactual ) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
thf(c_0_22,negated_conjecture,
! [X3: mworld] :
( ( mrel @ X3 @ ( esk6_1 @ X3 ) )
| ( mrel @ mactual @ esk3_0 )
| ~ ( mrel @ esk5_0 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
thf(c_0_23,negated_conjecture,
! [X3: mworld] :
( ( mrel @ mactual @ esk3_0 )
| ( mrel @ X3 @ mactual )
| ~ ( mrel @ esk5_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_16,c_0_21]) ).
thf(c_0_24,negated_conjecture,
( ( mrel @ esk5_0 @ ( esk6_1 @ esk5_0 ) )
| ( mrel @ mactual @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_22,c_0_17]) ).
thf(c_0_25,negated_conjecture,
( ( mrel @ ( esk6_1 @ esk5_0 ) @ mactual )
| ( mrel @ mactual @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
thf(c_0_26,negated_conjecture,
! [X3: mworld,X5: mworld] :
( ( mrel @ X3 @ ( esk2_1 @ X3 ) )
| ( mrel @ X5 @ ( esk1_1 @ X5 ) )
| ~ ( mrel @ mactual @ X3 )
| ~ ( mrel @ mactual @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
thf(c_0_27,negated_conjecture,
! [X3: mworld,X5: mworld,X6: mworld] :
( ( p @ X5 )
| ( mrel @ X6 @ ( esk1_1 @ X6 ) )
| ~ ( mrel @ ( esk2_1 @ X3 ) @ X5 )
| ~ ( mrel @ mactual @ X3 )
| ~ ( mrel @ mactual @ X6 ) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
thf(c_0_28,negated_conjecture,
( ( mrel @ mactual @ ( esk6_1 @ esk5_0 ) )
| ( mrel @ mactual @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_19,c_0_25]) ).
thf(c_0_29,negated_conjecture,
! [X3: mworld] :
( ( mrel @ mactual @ ( esk1_1 @ mactual ) )
| ( mrel @ X3 @ ( esk2_1 @ X3 ) )
| ~ ( mrel @ mactual @ X3 ) ),
inference(spm,[status(thm)],[c_0_26,c_0_17]) ).
thf(c_0_30,negated_conjecture,
! [X3: mworld,X5: mworld] :
( ( mrel @ mactual @ ( esk1_1 @ mactual ) )
| ( p @ X3 )
| ~ ( mrel @ ( esk2_1 @ X5 ) @ X3 )
| ~ ( mrel @ mactual @ X5 ) ),
inference(spm,[status(thm)],[c_0_27,c_0_17]) ).
thf(c_0_31,negated_conjecture,
! [X3: mworld] :
( ( mrel @ X3 @ ( esk6_1 @ esk5_0 ) )
| ( mrel @ mactual @ esk3_0 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(spm,[status(thm)],[c_0_16,c_0_28]) ).
thf(c_0_32,negated_conjecture,
( ( mrel @ mactual @ ( esk2_1 @ mactual ) )
| ( mrel @ mactual @ ( esk1_1 @ mactual ) ) ),
inference(spm,[status(thm)],[c_0_29,c_0_17]) ).
thf(c_0_33,negated_conjecture,
! [X3: mworld] :
( ( mrel @ mactual @ ( esk1_1 @ mactual ) )
| ( p @ X3 )
| ~ ( mrel @ ( esk2_1 @ mactual ) @ X3 ) ),
inference(spm,[status(thm)],[c_0_30,c_0_17]) ).
thf(c_0_34,negated_conjecture,
( ( mrel @ ( esk2_1 @ mactual ) @ ( esk6_1 @ esk5_0 ) )
| ( mrel @ mactual @ ( esk1_1 @ mactual ) )
| ( mrel @ mactual @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
thf(c_0_35,negated_conjecture,
! [X3: mworld,X6: mworld,X5: mworld] :
( ( mrel @ X3 @ ( esk2_1 @ X3 ) )
| ( p @ X6 )
| ~ ( mrel @ mactual @ X3 )
| ~ ( mrel @ ( esk1_1 @ X5 ) @ X6 )
| ~ ( mrel @ mactual @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
thf(c_0_36,negated_conjecture,
! [X3: mworld] :
( ( mrel @ mactual @ esk3_0 )
| ~ ( p @ ( esk6_1 @ X3 ) )
| ~ ( mrel @ esk5_0 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
thf(c_0_37,negated_conjecture,
( ( mrel @ mactual @ ( esk1_1 @ mactual ) )
| ( mrel @ mactual @ esk3_0 )
| ( p @ ( esk6_1 @ esk5_0 ) ) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
thf(c_0_38,negated_conjecture,
! [X5: mworld,X3: mworld] :
( ( mrel @ X3 @ ( esk2_1 @ X3 ) )
| ( p @ X5 )
| ~ ( mrel @ ( esk1_1 @ mactual ) @ X5 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_17]) ).
thf(c_0_39,negated_conjecture,
( ( mrel @ mactual @ ( esk1_1 @ mactual ) )
| ( mrel @ mactual @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_17])]) ).
thf(c_0_40,negated_conjecture,
! [X3: mworld,X5: mworld,X7: mworld,X6: mworld] :
( ( p @ X5 )
| ( p @ X7 )
| ~ ( mrel @ ( esk2_1 @ X3 ) @ X5 )
| ~ ( mrel @ mactual @ X3 )
| ~ ( mrel @ ( esk1_1 @ X6 ) @ X7 )
| ~ ( mrel @ mactual @ X6 ) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
thf(c_0_41,negated_conjecture,
! [X3: mworld] :
( ( mrel @ mactual @ ( esk2_1 @ mactual ) )
| ( p @ X3 )
| ~ ( mrel @ ( esk1_1 @ mactual ) @ X3 ) ),
inference(spm,[status(thm)],[c_0_38,c_0_17]) ).
thf(c_0_42,negated_conjecture,
( ( mrel @ ( esk1_1 @ mactual ) @ ( esk6_1 @ esk5_0 ) )
| ( mrel @ mactual @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_31,c_0_39]) ).
thf(c_0_43,negated_conjecture,
! [X3: mworld,X5: mworld,X6: mworld] :
( ( p @ X3 )
| ( p @ X5 )
| ~ ( mrel @ ( esk1_1 @ mactual ) @ X5 )
| ~ ( mrel @ ( esk2_1 @ X6 ) @ X3 )
| ~ ( mrel @ mactual @ X6 ) ),
inference(spm,[status(thm)],[c_0_40,c_0_17]) ).
thf(c_0_44,negated_conjecture,
( ( mrel @ mactual @ ( esk2_1 @ mactual ) )
| ( mrel @ mactual @ esk3_0 )
| ( p @ ( esk6_1 @ esk5_0 ) ) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
thf(c_0_45,negated_conjecture,
! [X3: mworld,X5: mworld] :
( ( p @ X3 )
| ( p @ X5 )
| ~ ( mrel @ ( esk1_1 @ mactual ) @ X3 )
| ~ ( mrel @ ( esk2_1 @ mactual ) @ X5 ) ),
inference(spm,[status(thm)],[c_0_43,c_0_17]) ).
thf(c_0_46,negated_conjecture,
( ( mrel @ mactual @ ( esk2_1 @ mactual ) )
| ( mrel @ mactual @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_44]),c_0_17])]) ).
thf(c_0_47,negated_conjecture,
! [X3: mworld] :
( ( mrel @ mactual @ esk3_0 )
| ( p @ ( esk6_1 @ esk5_0 ) )
| ( p @ X3 )
| ~ ( mrel @ ( esk2_1 @ mactual ) @ X3 ) ),
inference(spm,[status(thm)],[c_0_45,c_0_42]) ).
thf(c_0_48,negated_conjecture,
( ( mrel @ ( esk2_1 @ mactual ) @ ( esk6_1 @ esk5_0 ) )
| ( mrel @ mactual @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_31,c_0_46]) ).
thf(c_0_49,negated_conjecture,
( ( p @ ( esk6_1 @ esk5_0 ) )
| ( mrel @ mactual @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
thf(c_0_50,negated_conjecture,
mrel @ mactual @ esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_49]),c_0_17])]) ).
thf(c_0_51,negated_conjecture,
( ( mrel @ mactual @ ( esk1_1 @ mactual ) )
| ( mrel @ ( esk2_1 @ mactual ) @ mactual ) ),
inference(spm,[status(thm)],[c_0_19,c_0_32]) ).
thf(c_0_52,negated_conjecture,
! [X3: mworld] :
( ( mrel @ mactual @ esk5_0 )
| ( mrel @ X3 @ ( esk4_1 @ X3 ) )
| ~ ( mrel @ esk3_0 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
thf(c_0_53,negated_conjecture,
mrel @ esk3_0 @ mactual,
inference(spm,[status(thm)],[c_0_19,c_0_50]) ).
thf(c_0_54,negated_conjecture,
! [X3: mworld] :
( ( mrel @ mactual @ ( esk1_1 @ mactual ) )
| ( mrel @ X3 @ mactual )
| ~ ( mrel @ ( esk2_1 @ mactual ) @ X3 ) ),
inference(spm,[status(thm)],[c_0_16,c_0_51]) ).
thf(c_0_55,negated_conjecture,
( ( mrel @ ( esk2_1 @ mactual ) @ ( esk2_1 @ ( esk2_1 @ mactual ) ) )
| ( mrel @ mactual @ ( esk1_1 @ mactual ) ) ),
inference(spm,[status(thm)],[c_0_29,c_0_32]) ).
thf(c_0_56,negated_conjecture,
( ( mrel @ mactual @ ( esk4_1 @ mactual ) )
| ( mrel @ mactual @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
thf(c_0_57,negated_conjecture,
( ( mrel @ ( esk2_1 @ ( esk2_1 @ mactual ) ) @ mactual )
| ( mrel @ mactual @ ( esk1_1 @ mactual ) ) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
thf(c_0_58,negated_conjecture,
( ( mrel @ esk3_0 @ ( esk4_1 @ esk3_0 ) )
| ( mrel @ mactual @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_52,c_0_17]) ).
thf(c_0_59,negated_conjecture,
! [X3: mworld] :
( ( mrel @ X3 @ ( esk4_1 @ mactual ) )
| ( mrel @ mactual @ esk5_0 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(spm,[status(thm)],[c_0_16,c_0_56]) ).
thf(c_0_60,negated_conjecture,
( ( mrel @ mactual @ ( esk2_1 @ ( esk2_1 @ mactual ) ) )
| ( mrel @ mactual @ ( esk1_1 @ mactual ) ) ),
inference(spm,[status(thm)],[c_0_19,c_0_57]) ).
thf(c_0_61,negated_conjecture,
! [X3: mworld] :
( ( mrel @ X3 @ ( esk4_1 @ esk3_0 ) )
| ( mrel @ mactual @ esk5_0 )
| ~ ( mrel @ esk3_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_16,c_0_58]) ).
thf(c_0_62,negated_conjecture,
! [X3: mworld] :
( ( mrel @ mactual @ ( esk1_1 @ mactual ) )
| ( p @ X3 )
| ~ ( mrel @ ( esk2_1 @ ( esk2_1 @ mactual ) ) @ X3 ) ),
inference(spm,[status(thm)],[c_0_30,c_0_32]) ).
thf(c_0_63,negated_conjecture,
( ( mrel @ ( esk2_1 @ ( esk2_1 @ mactual ) ) @ ( esk4_1 @ mactual ) )
| ( mrel @ mactual @ ( esk1_1 @ mactual ) )
| ( mrel @ mactual @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
thf(c_0_64,negated_conjecture,
( ( mrel @ mactual @ ( esk4_1 @ esk3_0 ) )
| ( mrel @ mactual @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_61,c_0_53]) ).
thf(c_0_65,negated_conjecture,
! [X3: mworld] :
( ( mrel @ mactual @ esk5_0 )
| ~ ( p @ ( esk4_1 @ X3 ) )
| ~ ( mrel @ esk3_0 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
thf(c_0_66,negated_conjecture,
( ( mrel @ mactual @ ( esk1_1 @ mactual ) )
| ( mrel @ mactual @ esk5_0 )
| ( p @ ( esk4_1 @ mactual ) ) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
thf(c_0_67,negated_conjecture,
! [X3: mworld] :
( ( mrel @ X3 @ ( esk4_1 @ esk3_0 ) )
| ( mrel @ mactual @ esk5_0 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(spm,[status(thm)],[c_0_16,c_0_64]) ).
thf(c_0_68,negated_conjecture,
( ( mrel @ mactual @ ( esk1_1 @ mactual ) )
| ( mrel @ mactual @ esk5_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_53])]) ).
thf(c_0_69,negated_conjecture,
( ( mrel @ ( esk1_1 @ mactual ) @ ( esk4_1 @ esk3_0 ) )
| ( mrel @ mactual @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
thf(c_0_70,negated_conjecture,
( ( mrel @ mactual @ ( esk2_1 @ mactual ) )
| ( mrel @ mactual @ esk5_0 )
| ( p @ ( esk4_1 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_41,c_0_69]) ).
thf(c_0_71,negated_conjecture,
( ( mrel @ mactual @ ( esk2_1 @ mactual ) )
| ( mrel @ mactual @ esk5_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_70]),c_0_17])]) ).
thf(c_0_72,negated_conjecture,
! [X3: mworld] :
( ( mrel @ mactual @ esk5_0 )
| ( p @ ( esk4_1 @ esk3_0 ) )
| ( p @ X3 )
| ~ ( mrel @ ( esk2_1 @ mactual ) @ X3 ) ),
inference(spm,[status(thm)],[c_0_45,c_0_69]) ).
thf(c_0_73,negated_conjecture,
( ( mrel @ ( esk2_1 @ mactual ) @ ( esk4_1 @ esk3_0 ) )
| ( mrel @ mactual @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_67,c_0_71]) ).
thf(c_0_74,negated_conjecture,
! [X3: mworld,X5: mworld] :
( ( mrel @ X3 @ ( esk6_1 @ X3 ) )
| ( mrel @ X5 @ ( esk4_1 @ X5 ) )
| ~ ( mrel @ esk5_0 @ X3 )
| ~ ( mrel @ esk3_0 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
thf(c_0_75,negated_conjecture,
( ( p @ ( esk4_1 @ esk3_0 ) )
| ( mrel @ mactual @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
thf(c_0_76,negated_conjecture,
! [X3: mworld] :
( ( mrel @ esk3_0 @ ( esk4_1 @ esk3_0 ) )
| ( mrel @ X3 @ ( esk6_1 @ X3 ) )
| ~ ( mrel @ esk5_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_74,c_0_17]) ).
thf(c_0_77,negated_conjecture,
! [X3: mworld] :
( ( mrel @ esk3_0 @ ( esk1_1 @ esk3_0 ) )
| ( mrel @ X3 @ ( esk2_1 @ X3 ) )
| ~ ( mrel @ mactual @ X3 ) ),
inference(spm,[status(thm)],[c_0_26,c_0_50]) ).
thf(c_0_78,negated_conjecture,
! [X3: mworld] :
( ( mrel @ X3 @ esk3_0 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(spm,[status(thm)],[c_0_16,c_0_50]) ).
thf(c_0_79,negated_conjecture,
mrel @ mactual @ esk5_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_75]),c_0_17])]) ).
thf(c_0_80,negated_conjecture,
( ( mrel @ esk5_0 @ ( esk6_1 @ esk5_0 ) )
| ( mrel @ esk3_0 @ ( esk4_1 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_76,c_0_17]) ).
thf(c_0_81,negated_conjecture,
( ( mrel @ mactual @ ( esk2_1 @ mactual ) )
| ( mrel @ esk3_0 @ ( esk1_1 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_77,c_0_17]) ).
thf(c_0_82,negated_conjecture,
mrel @ esk5_0 @ esk3_0,
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
thf(c_0_83,negated_conjecture,
! [X3: mworld] :
( ( mrel @ esk3_0 @ ( esk4_1 @ esk3_0 ) )
| ( mrel @ X3 @ ( esk6_1 @ esk5_0 ) )
| ~ ( mrel @ esk5_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_16,c_0_80]) ).
thf(c_0_84,negated_conjecture,
( ( mrel @ esk5_0 @ ( esk2_1 @ esk5_0 ) )
| ( mrel @ mactual @ ( esk1_1 @ mactual ) ) ),
inference(spm,[status(thm)],[c_0_29,c_0_79]) ).
thf(c_0_85,negated_conjecture,
! [X3: mworld] :
( ( mrel @ mactual @ ( esk2_1 @ mactual ) )
| ( mrel @ X3 @ ( esk1_1 @ esk3_0 ) )
| ~ ( mrel @ esk3_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_16,c_0_81]) ).
thf(c_0_86,negated_conjecture,
mrel @ esk3_0 @ esk5_0,
inference(spm,[status(thm)],[c_0_19,c_0_82]) ).
thf(c_0_87,negated_conjecture,
! [X3: mworld] :
( ( mrel @ mactual @ ( esk1_1 @ mactual ) )
| ( p @ X3 )
| ~ ( mrel @ ( esk2_1 @ esk5_0 ) @ X3 ) ),
inference(spm,[status(thm)],[c_0_30,c_0_79]) ).
thf(c_0_88,negated_conjecture,
( ( mrel @ ( esk2_1 @ esk5_0 ) @ ( esk6_1 @ esk5_0 ) )
| ( mrel @ mactual @ ( esk1_1 @ mactual ) )
| ( mrel @ esk3_0 @ ( esk4_1 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
thf(c_0_89,negated_conjecture,
! [X5: mworld,X3: mworld] :
( ( mrel @ X3 @ ( esk2_1 @ X3 ) )
| ( p @ X5 )
| ~ ( mrel @ ( esk1_1 @ esk3_0 ) @ X5 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_50]) ).
thf(c_0_90,negated_conjecture,
( ( mrel @ esk5_0 @ ( esk1_1 @ esk3_0 ) )
| ( mrel @ mactual @ ( esk2_1 @ mactual ) ) ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
thf(c_0_91,negated_conjecture,
! [X3: mworld,X5: mworld] :
( ( mrel @ X5 @ ( esk4_1 @ X5 ) )
| ~ ( p @ ( esk6_1 @ X3 ) )
| ~ ( mrel @ esk5_0 @ X3 )
| ~ ( mrel @ esk3_0 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
thf(c_0_92,negated_conjecture,
( ( mrel @ esk3_0 @ ( esk4_1 @ esk3_0 ) )
| ( mrel @ mactual @ ( esk1_1 @ mactual ) )
| ( p @ ( esk6_1 @ esk5_0 ) ) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
thf(c_0_93,negated_conjecture,
! [X3: mworld] :
( ( mrel @ mactual @ ( esk2_1 @ mactual ) )
| ( p @ X3 )
| ~ ( mrel @ ( esk1_1 @ esk3_0 ) @ X3 ) ),
inference(spm,[status(thm)],[c_0_89,c_0_17]) ).
thf(c_0_94,negated_conjecture,
( ( mrel @ ( esk1_1 @ esk3_0 ) @ ( esk6_1 @ esk5_0 ) )
| ( mrel @ mactual @ ( esk2_1 @ mactual ) )
| ( mrel @ esk3_0 @ ( esk4_1 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_83,c_0_90]) ).
thf(c_0_95,negated_conjecture,
! [X3: mworld] :
( ( mrel @ mactual @ ( esk1_1 @ mactual ) )
| ( mrel @ esk3_0 @ ( esk4_1 @ esk3_0 ) )
| ( mrel @ X3 @ ( esk4_1 @ X3 ) )
| ~ ( mrel @ esk3_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_17])]) ).
thf(c_0_96,negated_conjecture,
( ( mrel @ esk3_0 @ ( esk4_1 @ esk3_0 ) )
| ( mrel @ mactual @ ( esk2_1 @ mactual ) )
| ( p @ ( esk6_1 @ esk5_0 ) ) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
thf(c_0_97,negated_conjecture,
( ( mrel @ esk3_0 @ ( esk4_1 @ esk3_0 ) )
| ( mrel @ mactual @ ( esk1_1 @ mactual ) ) ),
inference(spm,[status(thm)],[c_0_95,c_0_17]) ).
thf(c_0_98,negated_conjecture,
! [X3: mworld] :
( ( mrel @ mactual @ ( esk2_1 @ mactual ) )
| ( mrel @ esk3_0 @ ( esk4_1 @ esk3_0 ) )
| ( mrel @ X3 @ ( esk4_1 @ X3 ) )
| ~ ( mrel @ esk3_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_96]),c_0_17])]) ).
thf(c_0_99,negated_conjecture,
! [X3: mworld] :
( ( mrel @ esk3_0 @ ( esk4_1 @ esk3_0 ) )
| ( mrel @ X3 @ ( esk1_1 @ mactual ) )
| ~ ( mrel @ mactual @ X3 ) ),
inference(spm,[status(thm)],[c_0_16,c_0_97]) ).
thf(c_0_100,negated_conjecture,
( ( mrel @ esk3_0 @ ( esk4_1 @ esk3_0 ) )
| ( mrel @ mactual @ ( esk2_1 @ mactual ) ) ),
inference(spm,[status(thm)],[c_0_98,c_0_17]) ).
thf(c_0_101,negated_conjecture,
( ( mrel @ esk5_0 @ ( esk1_1 @ mactual ) )
| ( mrel @ esk3_0 @ ( esk4_1 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_99,c_0_79]) ).
thf(c_0_102,negated_conjecture,
( ( mrel @ esk3_0 @ ( esk6_1 @ esk5_0 ) )
| ( mrel @ esk3_0 @ ( esk4_1 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_83,c_0_82]) ).
thf(c_0_103,negated_conjecture,
( ( mrel @ esk3_0 @ ( esk4_1 @ esk3_0 ) )
| ( mrel @ ( esk2_1 @ mactual ) @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_78,c_0_100]) ).
thf(c_0_104,negated_conjecture,
( ( mrel @ ( esk1_1 @ mactual ) @ ( esk6_1 @ esk5_0 ) )
| ( mrel @ esk3_0 @ ( esk4_1 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_83,c_0_101]) ).
thf(c_0_105,negated_conjecture,
! [X3: mworld] :
( ( mrel @ esk3_0 @ ( esk4_1 @ esk3_0 ) )
| ( mrel @ X3 @ ( esk6_1 @ esk5_0 ) )
| ~ ( mrel @ esk3_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_16,c_0_102]) ).
thf(c_0_106,negated_conjecture,
( ( mrel @ esk3_0 @ ( esk4_1 @ esk3_0 ) )
| ( mrel @ esk3_0 @ ( esk2_1 @ mactual ) ) ),
inference(spm,[status(thm)],[c_0_19,c_0_103]) ).
thf(c_0_107,negated_conjecture,
! [X3: mworld] :
( ( mrel @ esk3_0 @ ( esk4_1 @ esk3_0 ) )
| ( p @ ( esk6_1 @ esk5_0 ) )
| ( p @ X3 )
| ~ ( mrel @ ( esk2_1 @ mactual ) @ X3 ) ),
inference(spm,[status(thm)],[c_0_45,c_0_104]) ).
thf(c_0_108,negated_conjecture,
( ( mrel @ ( esk2_1 @ mactual ) @ ( esk6_1 @ esk5_0 ) )
| ( mrel @ esk3_0 @ ( esk4_1 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
thf(c_0_109,negated_conjecture,
! [X3: mworld] :
( ( mrel @ mactual @ ( esk4_1 @ mactual ) )
| ( mrel @ X3 @ ( esk6_1 @ X3 ) )
| ~ ( mrel @ esk5_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_74,c_0_53]) ).
thf(c_0_110,negated_conjecture,
( ( mrel @ esk3_0 @ ( esk4_1 @ esk3_0 ) )
| ( p @ ( esk6_1 @ esk5_0 ) ) ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
thf(c_0_111,negated_conjecture,
! [X3: mworld] :
( ( mrel @ esk5_0 @ ( esk1_1 @ esk5_0 ) )
| ( mrel @ X3 @ ( esk2_1 @ X3 ) )
| ~ ( mrel @ mactual @ X3 ) ),
inference(spm,[status(thm)],[c_0_26,c_0_79]) ).
thf(c_0_112,negated_conjecture,
( ( mrel @ esk5_0 @ ( esk6_1 @ esk5_0 ) )
| ( mrel @ mactual @ ( esk4_1 @ mactual ) ) ),
inference(spm,[status(thm)],[c_0_109,c_0_17]) ).
thf(c_0_113,negated_conjecture,
! [X3: mworld] :
( ( mrel @ esk3_0 @ ( esk4_1 @ esk3_0 ) )
| ( mrel @ X3 @ ( esk4_1 @ X3 ) )
| ~ ( mrel @ esk3_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_110]),c_0_17])]) ).
thf(c_0_114,negated_conjecture,
( ( mrel @ mactual @ ( esk2_1 @ mactual ) )
| ( mrel @ esk5_0 @ ( esk1_1 @ esk5_0 ) ) ),
inference(spm,[status(thm)],[c_0_111,c_0_17]) ).
thf(c_0_115,negated_conjecture,
! [X3: mworld] :
( ( mrel @ mactual @ ( esk4_1 @ mactual ) )
| ( mrel @ X3 @ ( esk6_1 @ esk5_0 ) )
| ~ ( mrel @ esk5_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_16,c_0_112]) ).
thf(c_0_116,negated_conjecture,
mrel @ esk3_0 @ ( esk4_1 @ esk3_0 ),
inference(spm,[status(thm)],[c_0_113,c_0_17]) ).
thf(c_0_117,negated_conjecture,
! [X3: mworld] :
( ( mrel @ mactual @ ( esk2_1 @ mactual ) )
| ( mrel @ X3 @ ( esk1_1 @ esk5_0 ) )
| ~ ( mrel @ esk5_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_16,c_0_114]) ).
thf(c_0_118,negated_conjecture,
( ( mrel @ ( esk2_1 @ esk5_0 ) @ ( esk6_1 @ esk5_0 ) )
| ( mrel @ mactual @ ( esk1_1 @ mactual ) )
| ( mrel @ mactual @ ( esk4_1 @ mactual ) ) ),
inference(spm,[status(thm)],[c_0_115,c_0_84]) ).
thf(c_0_119,negated_conjecture,
! [X5: mworld,X3: mworld] :
( ( mrel @ X3 @ ( esk2_1 @ X3 ) )
| ( p @ X5 )
| ~ ( mrel @ ( esk1_1 @ esk5_0 ) @ X5 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_79]) ).
thf(c_0_120,negated_conjecture,
! [X3: mworld] :
( ( mrel @ X3 @ ( esk4_1 @ esk3_0 ) )
| ~ ( mrel @ esk3_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_16,c_0_116]) ).
thf(c_0_121,negated_conjecture,
( ( mrel @ esk3_0 @ ( esk1_1 @ esk5_0 ) )
| ( mrel @ mactual @ ( esk2_1 @ mactual ) ) ),
inference(spm,[status(thm)],[c_0_117,c_0_82]) ).
thf(c_0_122,negated_conjecture,
mrel @ esk5_0 @ mactual,
inference(spm,[status(thm)],[c_0_19,c_0_79]) ).
thf(c_0_123,negated_conjecture,
( ( mrel @ mactual @ ( esk4_1 @ mactual ) )
| ( mrel @ mactual @ ( esk1_1 @ mactual ) )
| ( p @ ( esk6_1 @ esk5_0 ) ) ),
inference(spm,[status(thm)],[c_0_87,c_0_118]) ).
thf(c_0_124,negated_conjecture,
! [X3: mworld] :
( ( mrel @ mactual @ ( esk2_1 @ mactual ) )
| ( p @ X3 )
| ~ ( mrel @ ( esk1_1 @ esk5_0 ) @ X3 ) ),
inference(spm,[status(thm)],[c_0_119,c_0_17]) ).
thf(c_0_125,negated_conjecture,
( ( mrel @ ( esk1_1 @ esk5_0 ) @ ( esk4_1 @ esk3_0 ) )
| ( mrel @ mactual @ ( esk2_1 @ mactual ) ) ),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
thf(c_0_126,negated_conjecture,
( ( mrel @ mactual @ ( esk6_1 @ esk5_0 ) )
| ( mrel @ mactual @ ( esk4_1 @ mactual ) ) ),
inference(spm,[status(thm)],[c_0_115,c_0_122]) ).
thf(c_0_127,negated_conjecture,
! [X3: mworld] :
( ( mrel @ mactual @ ( esk1_1 @ mactual ) )
| ( mrel @ mactual @ ( esk4_1 @ mactual ) )
| ( mrel @ X3 @ ( esk4_1 @ X3 ) )
| ~ ( mrel @ esk3_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_123]),c_0_17])]) ).
thf(c_0_128,negated_conjecture,
! [X3: mworld,X5: mworld] :
( ~ ( p @ ( esk6_1 @ X3 ) )
| ~ ( mrel @ esk5_0 @ X3 )
| ~ ( p @ ( esk4_1 @ X5 ) )
| ~ ( mrel @ esk3_0 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
thf(c_0_129,negated_conjecture,
( ( mrel @ mactual @ ( esk2_1 @ mactual ) )
| ( p @ ( esk4_1 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
thf(c_0_130,negated_conjecture,
( ( mrel @ ( esk1_1 @ esk3_0 ) @ ( esk6_1 @ esk5_0 ) )
| ( mrel @ mactual @ ( esk2_1 @ mactual ) )
| ( mrel @ mactual @ ( esk4_1 @ mactual ) ) ),
inference(spm,[status(thm)],[c_0_115,c_0_90]) ).
thf(c_0_131,negated_conjecture,
! [X3: mworld] :
( ( mrel @ mactual @ ( esk4_1 @ mactual ) )
| ( mrel @ X3 @ ( esk6_1 @ esk5_0 ) )
| ~ ( mrel @ mactual @ X3 ) ),
inference(spm,[status(thm)],[c_0_16,c_0_126]) ).
thf(c_0_132,negated_conjecture,
( ( mrel @ mactual @ ( esk4_1 @ mactual ) )
| ( mrel @ mactual @ ( esk1_1 @ mactual ) ) ),
inference(spm,[status(thm)],[c_0_127,c_0_53]) ).
thf(c_0_133,negated_conjecture,
! [X3: mworld] :
( ( mrel @ mactual @ ( esk2_1 @ mactual ) )
| ~ ( p @ ( esk6_1 @ X3 ) )
| ~ ( mrel @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_17])]) ).
thf(c_0_134,negated_conjecture,
( ( mrel @ mactual @ ( esk4_1 @ mactual ) )
| ( mrel @ mactual @ ( esk2_1 @ mactual ) )
| ( p @ ( esk6_1 @ esk5_0 ) ) ),
inference(spm,[status(thm)],[c_0_93,c_0_130]) ).
thf(c_0_135,negated_conjecture,
( ( mrel @ ( esk1_1 @ mactual ) @ ( esk6_1 @ esk5_0 ) )
| ( mrel @ mactual @ ( esk4_1 @ mactual ) ) ),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
thf(c_0_136,negated_conjecture,
( ( mrel @ mactual @ ( esk4_1 @ mactual ) )
| ( mrel @ mactual @ ( esk2_1 @ mactual ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_17])]) ).
thf(c_0_137,negated_conjecture,
! [X3: mworld] :
( ( mrel @ mactual @ ( esk4_1 @ mactual ) )
| ( p @ ( esk6_1 @ esk5_0 ) )
| ( p @ X3 )
| ~ ( mrel @ ( esk2_1 @ mactual ) @ X3 ) ),
inference(spm,[status(thm)],[c_0_45,c_0_135]) ).
thf(c_0_138,negated_conjecture,
( ( mrel @ ( esk2_1 @ mactual ) @ ( esk6_1 @ esk5_0 ) )
| ( mrel @ mactual @ ( esk4_1 @ mactual ) ) ),
inference(spm,[status(thm)],[c_0_131,c_0_136]) ).
thf(c_0_139,negated_conjecture,
( ( mrel @ mactual @ ( esk4_1 @ mactual ) )
| ( p @ ( esk6_1 @ esk5_0 ) ) ),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
thf(c_0_140,negated_conjecture,
! [X3: mworld] :
( ( mrel @ mactual @ ( esk4_1 @ mactual ) )
| ( mrel @ X3 @ ( esk4_1 @ X3 ) )
| ~ ( mrel @ esk3_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_139]),c_0_17])]) ).
thf(c_0_141,negated_conjecture,
! [X3: mworld] :
( ( mrel @ X3 @ mactual )
| ~ ( mrel @ esk5_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_16,c_0_122]) ).
thf(c_0_142,negated_conjecture,
mrel @ mactual @ ( esk4_1 @ mactual ),
inference(spm,[status(thm)],[c_0_140,c_0_53]) ).
thf(c_0_143,negated_conjecture,
( ( mrel @ mactual @ ( esk1_1 @ mactual ) )
| ( mrel @ ( esk2_1 @ esk5_0 ) @ mactual ) ),
inference(spm,[status(thm)],[c_0_141,c_0_84]) ).
thf(c_0_144,negated_conjecture,
! [X3: mworld] :
( ( mrel @ X3 @ ( esk4_1 @ mactual ) )
| ~ ( mrel @ mactual @ X3 ) ),
inference(spm,[status(thm)],[c_0_16,c_0_142]) ).
thf(c_0_145,negated_conjecture,
( ( mrel @ mactual @ ( esk1_1 @ mactual ) )
| ( mrel @ mactual @ ( esk2_1 @ esk5_0 ) ) ),
inference(spm,[status(thm)],[c_0_19,c_0_143]) ).
thf(c_0_146,negated_conjecture,
mrel @ esk5_0 @ ( esk4_1 @ mactual ),
inference(spm,[status(thm)],[c_0_144,c_0_79]) ).
thf(c_0_147,negated_conjecture,
! [X3: mworld] :
( ( mrel @ X3 @ mactual )
| ~ ( mrel @ esk3_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_16,c_0_53]) ).
thf(c_0_148,negated_conjecture,
( ( mrel @ ( esk2_1 @ esk5_0 ) @ ( esk4_1 @ mactual ) )
| ( mrel @ mactual @ ( esk1_1 @ mactual ) ) ),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
thf(c_0_149,negated_conjecture,
! [X3: mworld] :
( ( mrel @ X3 @ ( esk4_1 @ mactual ) )
| ~ ( mrel @ esk5_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_16,c_0_146]) ).
thf(c_0_150,negated_conjecture,
mrel @ ( esk4_1 @ esk3_0 ) @ mactual,
inference(spm,[status(thm)],[c_0_147,c_0_116]) ).
thf(c_0_151,negated_conjecture,
! [X3: mworld,X5: mworld] :
( ( mrel @ X3 @ ( esk6_1 @ X3 ) )
| ~ ( mrel @ esk5_0 @ X3 )
| ~ ( p @ ( esk4_1 @ X5 ) )
| ~ ( mrel @ esk3_0 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
thf(c_0_152,negated_conjecture,
( ( mrel @ mactual @ ( esk1_1 @ mactual ) )
| ( p @ ( esk4_1 @ mactual ) ) ),
inference(spm,[status(thm)],[c_0_87,c_0_148]) ).
thf(c_0_153,negated_conjecture,
( ( mrel @ ( esk1_1 @ esk5_0 ) @ ( esk4_1 @ mactual ) )
| ( mrel @ mactual @ ( esk2_1 @ mactual ) ) ),
inference(spm,[status(thm)],[c_0_149,c_0_114]) ).
thf(c_0_154,negated_conjecture,
mrel @ mactual @ ( esk4_1 @ esk3_0 ),
inference(spm,[status(thm)],[c_0_19,c_0_150]) ).
thf(c_0_155,negated_conjecture,
! [X3: mworld] :
( ( mrel @ mactual @ ( esk1_1 @ mactual ) )
| ( mrel @ X3 @ ( esk6_1 @ X3 ) )
| ~ ( mrel @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_53])]) ).
thf(c_0_156,negated_conjecture,
( ( mrel @ mactual @ ( esk2_1 @ mactual ) )
| ( p @ ( esk4_1 @ mactual ) ) ),
inference(spm,[status(thm)],[c_0_124,c_0_153]) ).
thf(c_0_157,negated_conjecture,
! [X3: mworld] :
( ( mrel @ X3 @ ( esk4_1 @ esk3_0 ) )
| ~ ( mrel @ mactual @ X3 ) ),
inference(spm,[status(thm)],[c_0_16,c_0_154]) ).
thf(c_0_158,negated_conjecture,
( ( mrel @ esk5_0 @ ( esk6_1 @ esk5_0 ) )
| ( mrel @ mactual @ ( esk1_1 @ mactual ) ) ),
inference(spm,[status(thm)],[c_0_155,c_0_17]) ).
thf(c_0_159,negated_conjecture,
! [X3: mworld] :
( ( mrel @ mactual @ ( esk2_1 @ mactual ) )
| ( mrel @ X3 @ ( esk6_1 @ X3 ) )
| ~ ( mrel @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_156]),c_0_53])]) ).
thf(c_0_160,negated_conjecture,
( ( mrel @ ( esk1_1 @ mactual ) @ ( esk4_1 @ esk3_0 ) )
| ( mrel @ esk5_0 @ ( esk6_1 @ esk5_0 ) ) ),
inference(spm,[status(thm)],[c_0_157,c_0_158]) ).
thf(c_0_161,negated_conjecture,
( ( mrel @ esk5_0 @ ( esk6_1 @ esk5_0 ) )
| ( mrel @ mactual @ ( esk2_1 @ mactual ) ) ),
inference(spm,[status(thm)],[c_0_159,c_0_17]) ).
thf(c_0_162,negated_conjecture,
! [X3: mworld] :
( ( mrel @ esk5_0 @ ( esk6_1 @ esk5_0 ) )
| ( p @ ( esk4_1 @ esk3_0 ) )
| ( p @ X3 )
| ~ ( mrel @ ( esk2_1 @ mactual ) @ X3 ) ),
inference(spm,[status(thm)],[c_0_45,c_0_160]) ).
thf(c_0_163,negated_conjecture,
( ( mrel @ ( esk2_1 @ mactual ) @ ( esk4_1 @ esk3_0 ) )
| ( mrel @ esk5_0 @ ( esk6_1 @ esk5_0 ) ) ),
inference(spm,[status(thm)],[c_0_157,c_0_161]) ).
thf(c_0_164,negated_conjecture,
! [X3: mworld] :
( ( mrel @ X3 @ esk3_0 )
| ~ ( mrel @ esk5_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_16,c_0_82]) ).
thf(c_0_165,negated_conjecture,
( ( mrel @ esk5_0 @ ( esk6_1 @ esk5_0 ) )
| ( p @ ( esk4_1 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_162,c_0_163]) ).
thf(c_0_166,negated_conjecture,
( ( mrel @ mactual @ ( esk1_1 @ mactual ) )
| ( mrel @ ( esk2_1 @ esk5_0 ) @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_164,c_0_84]) ).
thf(c_0_167,negated_conjecture,
! [X3: mworld] :
( ( mrel @ esk5_0 @ ( esk6_1 @ esk5_0 ) )
| ( mrel @ X3 @ ( esk6_1 @ X3 ) )
| ~ ( mrel @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_165]),c_0_17])]) ).
thf(c_0_168,negated_conjecture,
( ( mrel @ mactual @ ( esk1_1 @ mactual ) )
| ( mrel @ esk3_0 @ ( esk2_1 @ esk5_0 ) ) ),
inference(spm,[status(thm)],[c_0_19,c_0_166]) ).
thf(c_0_169,negated_conjecture,
mrel @ esk5_0 @ ( esk6_1 @ esk5_0 ),
inference(spm,[status(thm)],[c_0_167,c_0_17]) ).
thf(c_0_170,negated_conjecture,
( ( mrel @ ( esk2_1 @ esk5_0 ) @ ( esk4_1 @ esk3_0 ) )
| ( mrel @ mactual @ ( esk1_1 @ mactual ) ) ),
inference(spm,[status(thm)],[c_0_120,c_0_168]) ).
thf(c_0_171,negated_conjecture,
! [X3: mworld] :
( ( mrel @ X3 @ ( esk6_1 @ esk5_0 ) )
| ~ ( mrel @ esk5_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_16,c_0_169]) ).
thf(c_0_172,negated_conjecture,
( ( mrel @ mactual @ ( esk1_1 @ mactual ) )
| ( p @ ( esk4_1 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_87,c_0_170]) ).
thf(c_0_173,negated_conjecture,
( ( mrel @ ( esk2_1 @ esk5_0 ) @ ( esk6_1 @ esk5_0 ) )
| ( mrel @ mactual @ ( esk1_1 @ mactual ) ) ),
inference(spm,[status(thm)],[c_0_171,c_0_84]) ).
thf(c_0_174,negated_conjecture,
mrel @ mactual @ ( esk6_1 @ esk5_0 ),
inference(spm,[status(thm)],[c_0_171,c_0_122]) ).
thf(c_0_175,negated_conjecture,
! [X3: mworld] :
( ( mrel @ mactual @ ( esk1_1 @ mactual ) )
| ~ ( p @ ( esk6_1 @ X3 ) )
| ~ ( mrel @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_172]),c_0_17])]) ).
thf(c_0_176,negated_conjecture,
( ( mrel @ mactual @ ( esk1_1 @ mactual ) )
| ( p @ ( esk6_1 @ esk5_0 ) ) ),
inference(spm,[status(thm)],[c_0_87,c_0_173]) ).
thf(c_0_177,negated_conjecture,
! [X3: mworld] :
( ( mrel @ X3 @ ( esk6_1 @ esk5_0 ) )
| ~ ( mrel @ mactual @ X3 ) ),
inference(spm,[status(thm)],[c_0_16,c_0_174]) ).
thf(c_0_178,negated_conjecture,
mrel @ mactual @ ( esk1_1 @ mactual ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_17])]) ).
thf(c_0_179,negated_conjecture,
mrel @ ( esk1_1 @ mactual ) @ ( esk6_1 @ esk5_0 ),
inference(spm,[status(thm)],[c_0_177,c_0_178]) ).
thf(c_0_180,negated_conjecture,
( ( mrel @ mactual @ ( esk2_1 @ mactual ) )
| ( p @ ( esk6_1 @ esk5_0 ) ) ),
inference(spm,[status(thm)],[c_0_41,c_0_179]) ).
thf(c_0_181,negated_conjecture,
mrel @ ( esk1_1 @ mactual ) @ ( esk4_1 @ esk3_0 ),
inference(spm,[status(thm)],[c_0_157,c_0_178]) ).
thf(c_0_182,negated_conjecture,
mrel @ mactual @ ( esk2_1 @ mactual ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_180]),c_0_17])]) ).
thf(c_0_183,negated_conjecture,
! [X3: mworld] :
( ( p @ ( esk4_1 @ esk3_0 ) )
| ( p @ X3 )
| ~ ( mrel @ ( esk2_1 @ mactual ) @ X3 ) ),
inference(spm,[status(thm)],[c_0_45,c_0_181]) ).
thf(c_0_184,negated_conjecture,
mrel @ ( esk2_1 @ mactual ) @ ( esk4_1 @ esk3_0 ),
inference(spm,[status(thm)],[c_0_157,c_0_182]) ).
thf(c_0_185,negated_conjecture,
p @ ( esk4_1 @ esk3_0 ),
inference(spm,[status(thm)],[c_0_183,c_0_184]) ).
thf(c_0_186,negated_conjecture,
! [X3: mworld] :
( ( p @ ( esk6_1 @ esk5_0 ) )
| ( p @ X3 )
| ~ ( mrel @ ( esk2_1 @ mactual ) @ X3 ) ),
inference(spm,[status(thm)],[c_0_45,c_0_179]) ).
thf(c_0_187,negated_conjecture,
mrel @ ( esk2_1 @ mactual ) @ ( esk6_1 @ esk5_0 ),
inference(spm,[status(thm)],[c_0_177,c_0_182]) ).
thf(c_0_188,negated_conjecture,
! [X3: mworld] :
( ~ ( p @ ( esk6_1 @ X3 ) )
| ~ ( mrel @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_185]),c_0_17])]) ).
thf(c_0_189,negated_conjecture,
p @ ( esk6_1 @ esk5_0 ),
inference(spm,[status(thm)],[c_0_186,c_0_187]) ).
thf(c_0_190,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_189]),c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : SYO893^11 : TPTP v8.2.0. Released v8.1.0.
% 0.13/0.15 % Command : run_E %s %d THM
% 0.14/0.36 % Computer : n002.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon May 20 10:58:52 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.21/0.52 Running higher-order theorem proving
% 0.21/0.52 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 11.88/2.00 # Version: 3.1.0-ho
% 11.88/2.00 # Preprocessing class: HSSSSMSSMLSNHSN.
% 11.88/2.00 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.88/2.00 # Starting new_ho_9 with 1500s (5) cores
% 11.88/2.00 # Starting post_as_ho1 with 300s (1) cores
% 11.88/2.00 # Starting sh1l with 300s (1) cores
% 11.88/2.00 # Starting post_as_ho10 with 300s (1) cores
% 11.88/2.00 # new_ho_9 with pid 26260 completed with status 0
% 11.88/2.00 # Result found by new_ho_9
% 11.88/2.00 # Preprocessing class: HSSSSMSSMLSNHSN.
% 11.88/2.00 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.88/2.00 # Starting new_ho_9 with 1500s (5) cores
% 11.88/2.00 # No SInE strategy applied
% 11.88/2.00 # Search class: HGHNF-FFSF11-SHSSMFNN
% 11.88/2.00 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 11.88/2.00 # Starting new_ho_10 with 811s (1) cores
% 11.88/2.00 # Starting new_ho_9 with 151s (1) cores
% 11.88/2.00 # Starting ehoh_best_sine_rwall with 136s (1) cores
% 11.88/2.00 # Starting lpo1_def_fix with 136s (1) cores
% 11.88/2.00 # Starting ehoh_best8_lambda with 136s (1) cores
% 11.88/2.00 # ehoh_best8_lambda with pid 26271 completed with status 0
% 11.88/2.00 # Result found by ehoh_best8_lambda
% 11.88/2.00 # Preprocessing class: HSSSSMSSMLSNHSN.
% 11.88/2.00 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.88/2.00 # Starting new_ho_9 with 1500s (5) cores
% 11.88/2.00 # No SInE strategy applied
% 11.88/2.00 # Search class: HGHNF-FFSF11-SHSSMFNN
% 11.88/2.00 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 11.88/2.00 # Starting new_ho_10 with 811s (1) cores
% 11.88/2.00 # Starting new_ho_9 with 151s (1) cores
% 11.88/2.00 # Starting ehoh_best_sine_rwall with 136s (1) cores
% 11.88/2.00 # Starting lpo1_def_fix with 136s (1) cores
% 11.88/2.00 # Starting ehoh_best8_lambda with 136s (1) cores
% 11.88/2.00 # Preprocessing time : 0.001 s
% 11.88/2.00 # Presaturation interreduction done
% 11.88/2.00
% 11.88/2.00 # Proof found!
% 11.88/2.00 # SZS status Theorem
% 11.88/2.00 # SZS output start CNFRefutation
% See solution above
% 11.88/2.01 # Parsed axioms : 23
% 11.88/2.01 # Removed by relevancy pruning/SinE : 0
% 11.88/2.01 # Initial clauses : 27
% 11.88/2.01 # Removed in clause preprocessing : 12
% 11.88/2.01 # Initial clauses in saturation : 15
% 11.88/2.01 # Processed clauses : 13479
% 11.88/2.01 # ...of these trivial : 90
% 11.88/2.01 # ...subsumed : 9189
% 11.88/2.01 # ...remaining for further processing : 4200
% 11.88/2.01 # Other redundant clauses eliminated : 0
% 11.88/2.01 # Clauses deleted for lack of memory : 0
% 11.88/2.01 # Backward-subsumed : 744
% 11.88/2.01 # Backward-rewritten : 2372
% 11.88/2.01 # Generated clauses : 85216
% 11.88/2.01 # ...of the previous two non-redundant : 69123
% 11.88/2.01 # ...aggressively subsumed : 0
% 11.88/2.01 # Contextual simplify-reflections : 0
% 11.88/2.01 # Paramodulations : 85216
% 11.88/2.01 # Factorizations : 0
% 11.88/2.01 # NegExts : 0
% 11.88/2.01 # Equation resolutions : 0
% 11.88/2.01 # Disequality decompositions : 0
% 11.88/2.01 # Total rewrite steps : 18848
% 11.88/2.01 # ...of those cached : 18729
% 11.88/2.01 # Propositional unsat checks : 0
% 11.88/2.01 # Propositional check models : 0
% 11.88/2.01 # Propositional check unsatisfiable : 0
% 11.88/2.01 # Propositional clauses : 0
% 11.88/2.01 # Propositional clauses after purity: 0
% 11.88/2.01 # Propositional unsat core size : 0
% 11.88/2.01 # Propositional preprocessing time : 0.000
% 11.88/2.01 # Propositional encoding time : 0.000
% 11.88/2.01 # Propositional solver time : 0.000
% 11.88/2.01 # Success case prop preproc time : 0.000
% 11.88/2.01 # Success case prop encoding time : 0.000
% 11.88/2.01 # Success case prop solver time : 0.000
% 11.88/2.01 # Current number of processed clauses : 1069
% 11.88/2.01 # Positive orientable unit clauses : 88
% 11.88/2.01 # Positive unorientable unit clauses: 0
% 11.88/2.01 # Negative unit clauses : 0
% 11.88/2.01 # Non-unit-clauses : 981
% 11.88/2.01 # Current number of unprocessed clauses: 52582
% 11.88/2.01 # ...number of literals in the above : 191274
% 11.88/2.01 # Current number of archived formulas : 0
% 11.88/2.01 # Current number of archived clauses : 3131
% 11.88/2.01 # Clause-clause subsumption calls (NU) : 450909
% 11.88/2.01 # Rec. Clause-clause subsumption calls : 168662
% 11.88/2.01 # Non-unit clause-clause subsumptions : 9829
% 11.88/2.01 # Unit Clause-clause subsumption calls : 16720
% 11.88/2.01 # Rewrite failures with RHS unbound : 0
% 11.88/2.01 # BW rewrite match attempts : 63
% 11.88/2.01 # BW rewrite match successes : 61
% 11.88/2.01 # Condensation attempts : 0
% 11.88/2.01 # Condensation successes : 0
% 11.88/2.01 # Termbank termtop insertions : 1404456
% 11.88/2.01 # Search garbage collected termcells : 468
% 11.88/2.01
% 11.88/2.01 # -------------------------------------------------
% 11.88/2.01 # User time : 1.412 s
% 11.88/2.01 # System time : 0.037 s
% 11.88/2.01 # Total time : 1.449 s
% 11.88/2.01 # Maximum resident set size: 1892 pages
% 11.88/2.01
% 11.88/2.01 # -------------------------------------------------
% 11.88/2.01 # User time : 7.067 s
% 11.88/2.01 # System time : 0.177 s
% 11.88/2.01 # Total time : 7.244 s
% 11.88/2.01 # Maximum resident set size: 1776 pages
% 11.88/2.01 % E---3.1 exiting
% 11.88/2.01 % E exiting
%------------------------------------------------------------------------------