%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SYO893^11 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 08:44:56 AM UTC 2026
% Result : Theorem 70.31s 10.65s
% Output : CNFRefutation 70.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 64
% Number of leaves : 8
% Syntax : Number of formulae : 129 ( 25 unt; 0 typ; 0 def)
% Number of atoms : 439 ( 10 equ; 0 cnn)
% Maximal formula atoms : 50 ( 3 avg)
% Number of connectives : 1371 ( 153 ~; 253 |; 18 &; 938 @)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 4 con; 0-3 aty)
% Number of variables : 149 ( 20 ^; 124 !; 5 ?; 149 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
mworld: $tType ).
thf(decl_23,type,
mrel: mworld > mworld > $o ).
thf(decl_24,type,
mactual: mworld ).
thf(decl_25,type,
mlocal: ( mworld > $o ) > $o ).
thf(decl_26,type,
mnot: ( mworld > $o ) > mworld > $o ).
thf(decl_30,type,
mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(decl_31,type,
mbox: ( mworld > $o ) > mworld > $o ).
thf(decl_32,type,
mdia: ( mworld > $o ) > mworld > $o ).
thf(decl_33,type,
p: mworld > $o ).
thf(decl_34,type,
esk1_1: mworld > mworld ).
thf(decl_35,type,
esk2_1: mworld > mworld ).
thf(decl_36,type,
esk3_0: mworld ).
thf(decl_37,type,
esk4_1: mworld > mworld ).
thf(decl_38,type,
esk5_0: mworld ).
thf(decl_39,type,
esk6_1: mworld > mworld ).
thf(con,conjecture,
mlocal @ ( mequiv @ ( mnot @ ( mbox @ ( mdia @ ( mbox @ p ) ) ) ) @ ( mdia @ ( mbox @ ( mdia @ ( mnot @ p ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.e3mM94uSVT/E---3.1_3678456.p',con) ).
thf(mlocal_def,axiom,
( mlocal
= ( ^ [X1: mworld > $o] : ( X1 @ mactual ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.e3mM94uSVT/E---3.1_3678456.p',mlocal_def) ).
thf(mnot_def,axiom,
( mnot
= ( ^ [X2: mworld > $o,X3: mworld] :
~ ( X2 @ X3 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.e3mM94uSVT/E---3.1_3678456.p',mnot_def) ).
thf(mequiv_def,axiom,
( mequiv
= ( ^ [X2: mworld > $o,X4: mworld > $o,X3: mworld] :
( ( X2 @ X3 )
<=> ( X4 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.e3mM94uSVT/E---3.1_3678456.p',mequiv_def) ).
thf(mbox_def,axiom,
( mbox
= ( ^ [X1: mworld > $o,X3: mworld] :
! [X5: mworld] :
( ( mrel @ X3 @ X5 )
=> ( X1 @ X5 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.e3mM94uSVT/E---3.1_3678456.p',mbox_def) ).
thf(mdia_def,axiom,
( mdia
= ( ^ [X1: mworld > $o,X3: mworld] :
? [X5: mworld] :
( ( mrel @ X3 @ X5 )
& ( X1 @ X5 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.e3mM94uSVT/E---3.1_3678456.p',mdia_def) ).
thf(mrel_reflexive,axiom,
! [X3: mworld] : ( mrel @ X3 @ X3 ),
file('/export/starexec/sandbox2/tmp/tmp.e3mM94uSVT/E---3.1_3678456.p',mrel_reflexive) ).
thf(mrel_euclidean,axiom,
! [X3: mworld,X5: mworld,X6: mworld] :
( ( ( mrel @ X3 @ X6 )
& ( mrel @ X3 @ X5 ) )
=> ( mrel @ X6 @ X5 ) ),
file('/export/starexec/sandbox2/tmp/tmp.e3mM94uSVT/E---3.1_3678456.p',mrel_euclidean) ).
thf(c_0_8,negated_conjecture,
~ ( mlocal @ ( mequiv @ ( mnot @ ( mbox @ ( mdia @ ( mbox @ p ) ) ) ) @ ( mdia @ ( mbox @ ( mdia @ ( mnot @ p ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[con]) ).
thf(c_0_9,plain,
( mlocal
= ( ^ [Z0: mworld > $o] : ( Z0 @ mactual ) ) ),
inference(fof_simplification,[status(thm)],[mlocal_def]) ).
thf(c_0_10,plain,
( mnot
= ( ^ [Z0: mworld > $o,Z1: mworld] :
~ ( Z0 @ Z1 ) ) ),
inference(fof_simplification,[status(thm)],[mnot_def]) ).
thf(c_0_11,plain,
( mequiv
= ( ^ [Z0: mworld > $o,Z1: mworld > $o,Z2: mworld] :
( ( Z0 @ Z2 )
<=> ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mequiv_def]) ).
thf(c_0_12,plain,
( mbox
= ( ^ [Z0: mworld > $o,Z1: mworld] :
! [X5: mworld] :
( ( mrel @ Z1 @ X5 )
=> ( Z0 @ X5 ) ) ) ),
inference(fof_simplification,[status(thm)],[mbox_def]) ).
thf(c_0_13,plain,
( mdia
= ( ^ [Z0: mworld > $o,Z1: mworld] :
? [X5: mworld] :
( ( mrel @ Z1 @ X5 )
& ( Z0 @ X5 ) ) ) ),
inference(fof_simplification,[status(thm)],[mdia_def]) ).
thf(c_0_14,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)],[c_0_8,c_0_9]),c_0_10]),c_0_11]),c_0_12]),c_0_13])]) ).
thf(c_0_15,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_14])])])])])]) ).
thf(c_0_16,plain,
! [X17: mworld] : ( mrel @ X17 @ X17 ),
inference(variable_rename,[status(thm)],[mrel_reflexive]) ).
thf(c_0_17,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_18,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_15]) ).
thf(c_0_19,plain,
! [X3: mworld] : ( mrel @ X3 @ X3 ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
thf(c_0_20,plain,
! [X3: mworld,X5: mworld,X6: mworld] :
( ( mrel @ X5 @ X6 )
| ~ ( mrel @ X3 @ X5 )
| ~ ( mrel @ X3 @ X6 ) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
thf(c_0_21,negated_conjecture,
! [X3: mworld] :
( ( mrel @ mactual @ ( esk1_1 @ mactual ) )
| ( mrel @ X3 @ ( esk2_1 @ X3 ) )
| ~ ( mrel @ mactual @ X3 ) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
thf(c_0_22,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_15]) ).
thf(c_0_23,negated_conjecture,
! [X3: mworld] :
( ( mrel @ X3 @ ( esk6_1 @ X3 ) )
| ( mrel @ mactual @ esk3_0 )
| ~ ( mrel @ esk5_0 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_24,negated_conjecture,
! [X3: mworld] :
( ( mrel @ mactual @ esk3_0 )
| ~ ( p @ ( esk6_1 @ X3 ) )
| ~ ( mrel @ esk5_0 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_25,negated_conjecture,
! [X5: mworld,X3: mworld] :
( ( mrel @ mactual @ ( esk1_1 @ mactual ) )
| ( mrel @ X3 @ ( esk2_1 @ X5 ) )
| ~ ( mrel @ mactual @ X5 )
| ~ ( mrel @ X5 @ X3 ) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
thf(c_0_26,negated_conjecture,
( ( mrel @ mactual @ esk5_0 )
| ( mrel @ mactual @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_27,negated_conjecture,
! [X3: mworld,X5: mworld] :
( ( mrel @ mactual @ esk3_0 )
| ( mrel @ X3 @ ( esk1_1 @ X3 ) )
| ~ ( mrel @ esk5_0 @ ( esk2_1 @ X5 ) )
| ~ ( mrel @ mactual @ X3 )
| ~ ( mrel @ mactual @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).
thf(c_0_28,negated_conjecture,
( ( mrel @ esk5_0 @ ( esk2_1 @ mactual ) )
| ( mrel @ mactual @ ( esk1_1 @ mactual ) )
| ( mrel @ mactual @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_19])]) ).
thf(c_0_29,negated_conjecture,
! [X3: mworld] :
( ( mrel @ mactual @ ( esk1_1 @ mactual ) )
| ( mrel @ X3 @ ( esk1_1 @ X3 ) )
| ( mrel @ mactual @ esk3_0 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_19])]) ).
thf(c_0_30,negated_conjecture,
! [X3: mworld] :
( ( mrel @ mactual @ esk3_0 )
| ( mrel @ X3 @ esk5_0 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(spm,[status(thm)],[c_0_20,c_0_26]) ).
thf(c_0_31,negated_conjecture,
( ( mrel @ mactual @ ( esk1_1 @ mactual ) )
| ( mrel @ mactual @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_29,c_0_19]) ).
thf(c_0_32,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_15]) ).
thf(c_0_33,plain,
! [X5: mworld,X3: mworld] :
( ( mrel @ X3 @ X5 )
| ~ ( mrel @ X5 @ X3 ) ),
inference(spm,[status(thm)],[c_0_20,c_0_19]) ).
thf(c_0_34,negated_conjecture,
( ( mrel @ ( esk1_1 @ mactual ) @ esk5_0 )
| ( mrel @ mactual @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
thf(c_0_35,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_15]) ).
thf(c_0_36,negated_conjecture,
! [X5: mworld,X3: mworld] :
( ( mrel @ mactual @ esk3_0 )
| ( mrel @ X3 @ ( esk2_1 @ X3 ) )
| ~ ( mrel @ esk5_0 @ ( esk1_1 @ X5 ) )
| ~ ( mrel @ mactual @ X5 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_23]),c_0_24]) ).
thf(c_0_37,negated_conjecture,
( ( mrel @ esk5_0 @ ( esk1_1 @ mactual ) )
| ( mrel @ mactual @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
thf(c_0_38,negated_conjecture,
( ( mrel @ mactual @ esk3_0 )
| ( mrel @ esk5_0 @ mactual ) ),
inference(spm,[status(thm)],[c_0_33,c_0_26]) ).
thf(c_0_39,negated_conjecture,
! [X3: mworld,X5: mworld,X6: mworld] :
( ( mrel @ mactual @ esk3_0 )
| ( p @ X3 )
| ~ ( mrel @ esk5_0 @ ( esk1_1 @ X5 ) )
| ~ ( mrel @ ( esk2_1 @ X6 ) @ X3 )
| ~ ( mrel @ mactual @ X5 )
| ~ ( mrel @ mactual @ X6 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_23]),c_0_24]) ).
thf(c_0_40,negated_conjecture,
! [X3: mworld] :
( ( mrel @ X3 @ ( esk2_1 @ X3 ) )
| ( mrel @ mactual @ esk3_0 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_19])]) ).
thf(c_0_41,negated_conjecture,
! [X3: mworld] :
( ( mrel @ mactual @ esk3_0 )
| ( mrel @ X3 @ mactual )
| ~ ( mrel @ esk5_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_20,c_0_38]) ).
thf(c_0_42,negated_conjecture,
! [X3: mworld,X5: mworld] :
( ( mrel @ mactual @ esk3_0 )
| ( p @ X3 )
| ~ ( mrel @ ( esk2_1 @ X5 ) @ X3 )
| ~ ( mrel @ mactual @ X5 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_37]),c_0_19])]) ).
thf(c_0_43,negated_conjecture,
! [X3: mworld] :
( ( mrel @ mactual @ esk3_0 )
| ( mrel @ ( esk2_1 @ X3 ) @ X3 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(spm,[status(thm)],[c_0_33,c_0_40]) ).
thf(c_0_44,negated_conjecture,
( ( mrel @ ( esk6_1 @ esk5_0 ) @ mactual )
| ( mrel @ mactual @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_23]),c_0_19])]) ).
thf(c_0_45,negated_conjecture,
! [X3: mworld] :
( ( mrel @ mactual @ esk3_0 )
| ( p @ X3 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
thf(c_0_46,negated_conjecture,
( ( mrel @ mactual @ ( esk6_1 @ esk5_0 ) )
| ( mrel @ mactual @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_33,c_0_44]) ).
thf(c_0_47,negated_conjecture,
! [X3: mworld] :
( ( mrel @ mactual @ esk5_0 )
| ( mrel @ X3 @ ( esk4_1 @ X3 ) )
| ~ ( mrel @ esk3_0 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_48,negated_conjecture,
! [X3: mworld] :
( ( mrel @ mactual @ esk5_0 )
| ~ ( p @ ( esk4_1 @ X3 ) )
| ~ ( mrel @ esk3_0 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_49,negated_conjecture,
( ( p @ ( esk6_1 @ esk5_0 ) )
| ( mrel @ mactual @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
thf(c_0_50,negated_conjecture,
! [X3: mworld,X5: mworld] :
( ( mrel @ mactual @ esk5_0 )
| ( mrel @ X3 @ ( esk1_1 @ X3 ) )
| ~ ( mrel @ esk3_0 @ ( esk2_1 @ X5 ) )
| ~ ( mrel @ mactual @ X3 )
| ~ ( mrel @ mactual @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_47]),c_0_48]) ).
thf(c_0_51,negated_conjecture,
mrel @ mactual @ esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_49]),c_0_19])]) ).
thf(c_0_52,negated_conjecture,
! [X3: mworld] :
( ( mrel @ mactual @ ( esk1_1 @ mactual ) )
| ( mrel @ X3 @ ( esk1_1 @ X3 ) )
| ( mrel @ mactual @ esk5_0 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_21]),c_0_51])]) ).
thf(c_0_53,negated_conjecture,
( ( mrel @ mactual @ ( esk1_1 @ mactual ) )
| ( mrel @ mactual @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_52,c_0_19]) ).
thf(c_0_54,negated_conjecture,
! [X3: mworld] :
( ( mrel @ X3 @ ( esk1_1 @ mactual ) )
| ( mrel @ mactual @ esk5_0 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(spm,[status(thm)],[c_0_20,c_0_53]) ).
thf(c_0_55,negated_conjecture,
! [X5: mworld,X3: mworld] :
( ( mrel @ mactual @ esk5_0 )
| ( mrel @ X3 @ ( esk2_1 @ X3 ) )
| ~ ( mrel @ esk3_0 @ ( esk1_1 @ X5 ) )
| ~ ( mrel @ mactual @ X5 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_47]),c_0_48]) ).
thf(c_0_56,negated_conjecture,
( ( mrel @ esk3_0 @ ( esk1_1 @ mactual ) )
| ( mrel @ mactual @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_54,c_0_51]) ).
thf(c_0_57,negated_conjecture,
! [X3: mworld,X5: mworld,X6: mworld] :
( ( mrel @ mactual @ esk5_0 )
| ( p @ X3 )
| ~ ( mrel @ esk3_0 @ ( esk1_1 @ X5 ) )
| ~ ( mrel @ ( esk2_1 @ X6 ) @ X3 )
| ~ ( mrel @ mactual @ X5 )
| ~ ( mrel @ mactual @ X6 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_47]),c_0_48]) ).
thf(c_0_58,negated_conjecture,
! [X3: mworld] :
( ( mrel @ X3 @ ( esk2_1 @ X3 ) )
| ( mrel @ mactual @ esk5_0 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_19])]) ).
thf(c_0_59,negated_conjecture,
! [X3: mworld,X5: mworld] :
( ( mrel @ mactual @ esk5_0 )
| ( p @ X3 )
| ~ ( mrel @ ( esk2_1 @ X5 ) @ X3 )
| ~ ( mrel @ mactual @ X5 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_56]),c_0_19])]) ).
thf(c_0_60,negated_conjecture,
! [X3: mworld] :
( ( mrel @ mactual @ esk5_0 )
| ( mrel @ ( esk2_1 @ X3 ) @ X3 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(spm,[status(thm)],[c_0_33,c_0_58]) ).
thf(c_0_61,negated_conjecture,
! [X3: mworld] :
( ( mrel @ mactual @ esk5_0 )
| ( p @ X3 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
thf(c_0_62,negated_conjecture,
mrel @ esk3_0 @ mactual,
inference(spm,[status(thm)],[c_0_33,c_0_51]) ).
thf(c_0_63,negated_conjecture,
! [X3: mworld] :
( ( mrel @ mactual @ ( esk1_1 @ mactual ) )
| ( mrel @ ( esk2_1 @ X3 ) @ X3 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(spm,[status(thm)],[c_0_33,c_0_21]) ).
thf(c_0_64,negated_conjecture,
( ( p @ ( esk4_1 @ mactual ) )
| ( mrel @ mactual @ esk5_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_47]),c_0_62])]) ).
thf(c_0_65,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_15]) ).
thf(c_0_66,negated_conjecture,
! [X3: mworld,X5: mworld] :
( ( mrel @ mactual @ ( esk1_1 @ mactual ) )
| ( mrel @ X3 @ ( esk1_1 @ X3 ) )
| ( p @ X5 )
| ~ ( mrel @ mactual @ X3 )
| ~ ( mrel @ mactual @ X5 ) ),
inference(spm,[status(thm)],[c_0_22,c_0_63]) ).
thf(c_0_67,negated_conjecture,
mrel @ mactual @ esk5_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_64]),c_0_62])]) ).
thf(c_0_68,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_65,c_0_19]) ).
thf(c_0_69,negated_conjecture,
! [X3: mworld] :
( ( mrel @ mactual @ ( esk1_1 @ mactual ) )
| ( p @ X3 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(spm,[status(thm)],[c_0_66,c_0_19]) ).
thf(c_0_70,negated_conjecture,
mrel @ esk5_0 @ mactual,
inference(spm,[status(thm)],[c_0_33,c_0_67]) ).
thf(c_0_71,negated_conjecture,
! [X5: mworld,X3: mworld] :
( ( mrel @ esk3_0 @ ( esk4_1 @ esk3_0 ) )
| ( mrel @ X3 @ ( esk6_1 @ X5 ) )
| ~ ( mrel @ esk5_0 @ X5 )
| ~ ( mrel @ X5 @ X3 ) ),
inference(spm,[status(thm)],[c_0_20,c_0_68]) ).
thf(c_0_72,negated_conjecture,
( ( mrel @ esk3_0 @ ( esk4_1 @ esk3_0 ) )
| ( mrel @ mactual @ ( esk1_1 @ mactual ) )
| ( p @ ( esk6_1 @ mactual ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_68]),c_0_70])]) ).
thf(c_0_73,negated_conjecture,
( ( mrel @ ( esk1_1 @ mactual ) @ ( esk6_1 @ mactual ) )
| ( mrel @ esk3_0 @ ( esk4_1 @ esk3_0 ) )
| ( p @ ( esk6_1 @ mactual ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_70])]) ).
thf(c_0_74,negated_conjecture,
! [X3: mworld] :
( ( mrel @ esk3_0 @ ( esk4_1 @ esk3_0 ) )
| ( p @ ( esk6_1 @ mactual ) )
| ( mrel @ X3 @ ( esk2_1 @ X3 ) )
| ~ ( mrel @ mactual @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_73]),c_0_19])]) ).
thf(c_0_75,negated_conjecture,
! [X3: mworld,X5: mworld] :
( ( mrel @ esk3_0 @ ( esk4_1 @ esk3_0 ) )
| ( p @ ( esk6_1 @ mactual ) )
| ( p @ X3 )
| ~ ( mrel @ ( esk2_1 @ X5 ) @ X3 )
| ~ ( mrel @ mactual @ X5 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_73]),c_0_19])]) ).
thf(c_0_76,negated_conjecture,
! [X3: mworld] :
( ( mrel @ esk3_0 @ ( esk4_1 @ esk3_0 ) )
| ( p @ ( esk6_1 @ mactual ) )
| ( mrel @ ( esk2_1 @ X3 ) @ X3 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(spm,[status(thm)],[c_0_33,c_0_74]) ).
thf(c_0_77,negated_conjecture,
! [X3: mworld] :
( ( mrel @ esk3_0 @ ( esk4_1 @ esk3_0 ) )
| ( p @ ( esk6_1 @ mactual ) )
| ( p @ X3 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
thf(c_0_78,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_15]) ).
thf(c_0_79,negated_conjecture,
( ( mrel @ esk3_0 @ ( esk4_1 @ esk3_0 ) )
| ( p @ ( esk6_1 @ mactual ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_68]),c_0_70])]) ).
thf(c_0_80,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_78,c_0_79]),c_0_70])]) ).
thf(c_0_81,negated_conjecture,
! [X3: mworld] :
( ( mrel @ X3 @ mactual )
| ~ ( mrel @ esk3_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_20,c_0_62]) ).
thf(c_0_82,negated_conjecture,
mrel @ esk3_0 @ ( esk4_1 @ esk3_0 ),
inference(spm,[status(thm)],[c_0_80,c_0_19]) ).
thf(c_0_83,negated_conjecture,
mrel @ ( esk4_1 @ esk3_0 ) @ mactual,
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
thf(c_0_84,negated_conjecture,
mrel @ mactual @ ( esk4_1 @ esk3_0 ),
inference(spm,[status(thm)],[c_0_33,c_0_83]) ).
thf(c_0_85,negated_conjecture,
! [X3: mworld] :
( ( mrel @ X3 @ ( esk4_1 @ esk3_0 ) )
| ~ ( mrel @ mactual @ X3 ) ),
inference(spm,[status(thm)],[c_0_20,c_0_84]) ).
thf(c_0_86,negated_conjecture,
( ( mrel @ mactual @ ( esk1_1 @ mactual ) )
| ( p @ ( esk4_1 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_69,c_0_84]) ).
thf(c_0_87,negated_conjecture,
( ( mrel @ ( esk1_1 @ mactual ) @ ( esk4_1 @ esk3_0 ) )
| ( p @ ( esk4_1 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
thf(c_0_88,negated_conjecture,
! [X3: mworld] :
( ( p @ ( esk4_1 @ esk3_0 ) )
| ( mrel @ X3 @ ( esk2_1 @ X3 ) )
| ~ ( mrel @ mactual @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_87]),c_0_19])]) ).
thf(c_0_89,negated_conjecture,
! [X3: mworld,X5: mworld] :
( ( p @ ( esk4_1 @ esk3_0 ) )
| ( p @ X3 )
| ~ ( mrel @ ( esk2_1 @ X5 ) @ X3 )
| ~ ( mrel @ mactual @ X5 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_87]),c_0_19])]) ).
thf(c_0_90,negated_conjecture,
! [X3: mworld] :
( ( p @ ( esk4_1 @ esk3_0 ) )
| ( mrel @ ( esk2_1 @ X3 ) @ X3 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(spm,[status(thm)],[c_0_33,c_0_88]) ).
thf(c_0_91,negated_conjecture,
! [X3: mworld] :
( ( mrel @ mactual @ ( esk4_1 @ mactual ) )
| ( mrel @ X3 @ ( esk6_1 @ X3 ) )
| ~ ( mrel @ esk5_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_65,c_0_62]) ).
thf(c_0_92,negated_conjecture,
( ( mrel @ esk3_0 @ ( esk2_1 @ mactual ) )
| ( mrel @ mactual @ ( esk1_1 @ mactual ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_51]),c_0_19])]) ).
thf(c_0_93,negated_conjecture,
! [X3: mworld] :
( ( p @ ( esk4_1 @ esk3_0 ) )
| ( p @ X3 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
thf(c_0_94,negated_conjecture,
! [X5: mworld,X3: mworld] :
( ( mrel @ mactual @ ( esk4_1 @ mactual ) )
| ( mrel @ X3 @ ( esk6_1 @ X5 ) )
| ~ ( mrel @ esk5_0 @ X5 )
| ~ ( mrel @ X5 @ X3 ) ),
inference(spm,[status(thm)],[c_0_20,c_0_91]) ).
thf(c_0_95,negated_conjecture,
( ( mrel @ mactual @ ( esk1_1 @ mactual ) )
| ( mrel @ ( esk2_1 @ mactual ) @ mactual ) ),
inference(spm,[status(thm)],[c_0_81,c_0_92]) ).
thf(c_0_96,negated_conjecture,
( ( mrel @ esk5_0 @ ( esk2_1 @ mactual ) )
| ( mrel @ mactual @ ( esk1_1 @ mactual ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_67]),c_0_19])]) ).
thf(c_0_97,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_15]) ).
thf(c_0_98,negated_conjecture,
p @ ( esk4_1 @ esk3_0 ),
inference(spm,[status(thm)],[c_0_93,c_0_84]) ).
thf(c_0_99,negated_conjecture,
( ( mrel @ mactual @ ( esk6_1 @ ( esk2_1 @ mactual ) ) )
| ( mrel @ mactual @ ( esk1_1 @ mactual ) )
| ( mrel @ mactual @ ( esk4_1 @ mactual ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_96]) ).
thf(c_0_100,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_97,c_0_98]),c_0_19])]) ).
thf(c_0_101,negated_conjecture,
( ( mrel @ mactual @ ( esk4_1 @ mactual ) )
| ( p @ ( esk6_1 @ ( esk2_1 @ mactual ) ) )
| ( mrel @ mactual @ ( esk1_1 @ mactual ) ) ),
inference(spm,[status(thm)],[c_0_69,c_0_99]) ).
thf(c_0_102,negated_conjecture,
( ( mrel @ mactual @ ( esk1_1 @ mactual ) )
| ( mrel @ mactual @ ( esk4_1 @ mactual ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_96]) ).
thf(c_0_103,negated_conjecture,
( ( mrel @ ( esk1_1 @ mactual ) @ ( esk6_1 @ mactual ) )
| ( mrel @ mactual @ ( esk4_1 @ mactual ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_102]),c_0_70])]) ).
thf(c_0_104,negated_conjecture,
! [X3: mworld] :
( ( mrel @ mactual @ ( esk4_1 @ mactual ) )
| ( p @ ( esk6_1 @ mactual ) )
| ( mrel @ X3 @ ( esk2_1 @ X3 ) )
| ~ ( mrel @ mactual @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_103]),c_0_19])]) ).
thf(c_0_105,negated_conjecture,
! [X3: mworld,X5: mworld] :
( ( mrel @ mactual @ ( esk4_1 @ mactual ) )
| ( p @ ( esk6_1 @ mactual ) )
| ( p @ X3 )
| ~ ( mrel @ ( esk2_1 @ X5 ) @ X3 )
| ~ ( mrel @ mactual @ X5 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_103]),c_0_19])]) ).
thf(c_0_106,negated_conjecture,
! [X3: mworld] :
( ( mrel @ mactual @ ( esk4_1 @ mactual ) )
| ( p @ ( esk6_1 @ mactual ) )
| ( mrel @ ( esk2_1 @ X3 ) @ X3 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(spm,[status(thm)],[c_0_33,c_0_104]) ).
thf(c_0_107,negated_conjecture,
! [X3: mworld] :
( ( mrel @ mactual @ ( esk4_1 @ mactual ) )
| ( p @ ( esk6_1 @ mactual ) )
| ( p @ X3 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
thf(c_0_108,negated_conjecture,
( ( mrel @ mactual @ ( esk4_1 @ mactual ) )
| ( p @ ( esk6_1 @ mactual ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_91]),c_0_70])]) ).
thf(c_0_109,negated_conjecture,
mrel @ mactual @ ( esk4_1 @ mactual ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_108]),c_0_70])]) ).
thf(c_0_110,negated_conjecture,
! [X3: mworld] :
( ( mrel @ X3 @ ( esk4_1 @ mactual ) )
| ~ ( mrel @ mactual @ X3 ) ),
inference(spm,[status(thm)],[c_0_20,c_0_109]) ).
thf(c_0_111,negated_conjecture,
( ( mrel @ mactual @ ( esk1_1 @ mactual ) )
| ( p @ ( esk4_1 @ mactual ) ) ),
inference(spm,[status(thm)],[c_0_69,c_0_109]) ).
thf(c_0_112,negated_conjecture,
( ( mrel @ ( esk1_1 @ mactual ) @ ( esk4_1 @ mactual ) )
| ( p @ ( esk4_1 @ mactual ) ) ),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
thf(c_0_113,negated_conjecture,
! [X3: mworld] :
( ( p @ ( esk4_1 @ mactual ) )
| ( mrel @ X3 @ ( esk2_1 @ X3 ) )
| ~ ( mrel @ mactual @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_112]),c_0_19])]) ).
thf(c_0_114,negated_conjecture,
! [X3: mworld,X5: mworld] :
( ( p @ ( esk4_1 @ mactual ) )
| ( p @ X3 )
| ~ ( mrel @ ( esk2_1 @ X5 ) @ X3 )
| ~ ( mrel @ mactual @ X5 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_112]),c_0_19])]) ).
thf(c_0_115,negated_conjecture,
! [X3: mworld] :
( ( p @ ( esk4_1 @ mactual ) )
| ( mrel @ ( esk2_1 @ X3 ) @ X3 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(spm,[status(thm)],[c_0_33,c_0_113]) ).
thf(c_0_116,negated_conjecture,
! [X3: mworld] :
( ( p @ ( esk4_1 @ mactual ) )
| ( p @ X3 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
thf(c_0_117,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_15]) ).
thf(c_0_118,negated_conjecture,
p @ ( esk4_1 @ mactual ),
inference(spm,[status(thm)],[c_0_116,c_0_109]) ).
thf(c_0_119,negated_conjecture,
! [X3: mworld] :
( ( mrel @ X3 @ ( esk6_1 @ X3 ) )
| ~ ( mrel @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_62])]) ).
thf(c_0_120,negated_conjecture,
! [X5: mworld,X3: mworld] :
( ( mrel @ X3 @ ( esk6_1 @ X5 ) )
| ~ ( mrel @ esk5_0 @ X5 )
| ~ ( mrel @ X5 @ X3 ) ),
inference(spm,[status(thm)],[c_0_20,c_0_119]) ).
thf(c_0_121,negated_conjecture,
( ( mrel @ mactual @ ( esk1_1 @ mactual ) )
| ( p @ ( esk6_1 @ mactual ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_119]),c_0_70])]) ).
thf(c_0_122,negated_conjecture,
( ( mrel @ ( esk1_1 @ mactual ) @ ( esk6_1 @ mactual ) )
| ( p @ ( esk6_1 @ mactual ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_70])]) ).
thf(c_0_123,negated_conjecture,
! [X3: mworld] :
( ( p @ ( esk6_1 @ mactual ) )
| ( mrel @ X3 @ ( esk2_1 @ X3 ) )
| ~ ( mrel @ mactual @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_122]),c_0_19])]) ).
thf(c_0_124,negated_conjecture,
! [X3: mworld,X5: mworld] :
( ( p @ ( esk6_1 @ mactual ) )
| ( p @ X3 )
| ~ ( mrel @ ( esk2_1 @ X5 ) @ X3 )
| ~ ( mrel @ mactual @ X5 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_122]),c_0_19])]) ).
thf(c_0_125,negated_conjecture,
! [X3: mworld] :
( ( p @ ( esk6_1 @ mactual ) )
| ( mrel @ ( esk2_1 @ X3 ) @ X3 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(spm,[status(thm)],[c_0_33,c_0_123]) ).
thf(c_0_126,negated_conjecture,
! [X3: mworld] :
( ( p @ ( esk6_1 @ mactual ) )
| ( p @ X3 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
thf(c_0_127,negated_conjecture,
p @ ( esk6_1 @ mactual ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_119]),c_0_70])]) ).
thf(c_0_128,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_127]),c_0_70])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO893^11 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n007.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 17:24:11 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running higher-order theorem proving
% 0.08/0.25 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.e3mM94uSVT/E---3.1_3678456.p
% 70.31/10.65 % Version: 3.5.1-ho
% 70.31/10.65 % Preprocessing class: HSSSSMSSMLSNHSN.
% 70.31/10.65 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 70.31/10.65 % Starting new_ho_9 with 1500s (5) cores
% 70.31/10.65 % Starting post_as_ho1 with 300s (1) cores
% 70.31/10.65 % Starting sh1l with 300s (1) cores
% 70.31/10.65 % Starting post_as_ho10 with 300s (1) cores
% 70.31/10.65 % new_ho_9 with pid 3678469 completed with status 0
% 70.31/10.65 % Result found by new_ho_9
% 70.31/10.65 % Preprocessing class: HSSSSMSSMLSNHSN.
% 70.31/10.65 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 70.31/10.65 % Starting new_ho_9 with 1500s (5) cores
% 70.31/10.65 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 70.31/10.65 % No SInE strategy applied
% 70.31/10.65 % Search class: HGHNF-FFSF11-SHSSMFNN
% 70.31/10.65 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 70.31/10.65 % Starting SubtermCWHack with 136s (1) cores
% 70.31/10.65 % Starting new_ho_9 with 151s (1) cores
% 70.31/10.65 % Starting sh5l with 136s (1) cores
% 70.31/10.65 % Starting ehoh_best_sine_rwall with 136s (1) cores
% 70.31/10.65 % Starting lpo1_def_fix with 136s (1) cores
% 70.31/10.65 % lpo1_def_fix with pid 3678480 completed with status 0
% 70.31/10.65 % Result found by lpo1_def_fix
% 70.31/10.65 % Preprocessing class: HSSSSMSSMLSNHSN.
% 70.31/10.65 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 70.31/10.65 % Starting new_ho_9 with 1500s (5) cores
% 70.31/10.65 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 70.31/10.65 % No SInE strategy applied
% 70.31/10.65 % Search class: HGHNF-FFSF11-SHSSMFNN
% 70.31/10.65 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 70.31/10.65 % Starting SubtermCWHack with 136s (1) cores
% 70.31/10.65 % Starting new_ho_9 with 151s (1) cores
% 70.31/10.65 % Starting sh5l with 136s (1) cores
% 70.31/10.65 % Starting ehoh_best_sine_rwall with 136s (1) cores
% 70.31/10.65 % Starting lpo1_def_fix with 136s (1) cores
% 70.31/10.65 % Preprocessing time : 0.001 s
% 70.31/10.65 % Presaturation interreduction done
% 70.31/10.65
% 70.31/10.65 % Proof found!
% 70.31/10.65 % SZS status Theorem
% 70.31/10.65 % SZS output start CNFRefutation
% See solution above
% 70.31/10.65 % Parsed axioms : 23
% 70.31/10.65 % Removed by relevancy pruning/SinE : 0
% 70.31/10.65 % Initial clauses : 27
% 70.31/10.65 % Removed in clause preprocessing : 12
% 70.31/10.65 % Initial clauses in saturation : 15
% 70.31/10.65 % Processed clauses : 30084
% 70.31/10.65 % ...of these trivial : 1016
% 70.31/10.65 % ...subsumed : 23060
% 70.31/10.65 % ...remaining for further processing : 6008
% 70.31/10.65 % Other redundant clauses eliminated : 0
% 70.31/10.65 % Clauses deleted for lack of memory : 0
% 70.31/10.65 % Backward-subsumed : 1460
% 70.31/10.65 % Backward-rewritten : 2055
% 70.31/10.65 % Generated clauses : 534227
% 70.31/10.65 % ...of the previous two non-redundant : 452997
% 70.31/10.65 % ...aggressively subsumed : 0
% 70.31/10.65 % Contextual simplify-reflections : 441
% 70.31/10.65 % Paramodulations : 534227
% 70.31/10.65 % Factorizations : 0
% 70.31/10.65 % NegExts : 0
% 70.31/10.65 % Equation resolutions : 0
% 70.31/10.65 % Disequality decompositions : 0
% 70.31/10.65 % Total rewrite steps : 204591
% 70.31/10.65 % ...of those cached : 204264
% 70.31/10.65 % Propositional unsat checks : 0
% 70.31/10.65 % Propositional check models : 0
% 70.31/10.65 % Propositional check unsatisfiable : 0
% 70.31/10.65 % Propositional clauses : 0
% 70.31/10.65 % Propositional clauses after purity: 0
% 70.31/10.65 % Propositional unsat core size : 0
% 70.31/10.65 % Propositional preprocessing time : 0.000
% 70.31/10.65 % Propositional encoding time : 0.000
% 70.31/10.65 % Propositional solver time : 0.000
% 70.31/10.65 % Success case prop preproc time : 0.000
% 70.31/10.65 % Success case prop encoding time : 0.000
% 70.31/10.65 % Success case prop solver time : 0.000
% 70.31/10.65 % Current number of processed clauses : 2478
% 70.31/10.65 % Positive orientable unit clauses : 273
% 70.31/10.65 % Positive unorientable unit clauses: 0
% 70.31/10.65 % Negative unit clauses : 0
% 70.31/10.65 % Non-unit-clauses : 2205
% 70.31/10.65 % Current number of unprocessed clauses: 412464
% 70.31/10.65 % ...number of literals in the above : 1808185
% 70.31/10.65 % Current number of archived formulas : 0
% 70.31/10.65 % Current number of archived clauses : 3530
% 70.31/10.65 % Clause-clause subsumption calls (NU) : 1329124
% 70.31/10.65 % Rec. Clause-clause subsumption calls : 289389
% 70.31/10.65 % Non-unit clause-clause subsumptions : 24878
% 70.31/10.65 % Unit Clause-clause subsumption calls : 17863
% 70.31/10.65 % Rewrite failures with RHS unbound : 0
% 70.31/10.65 % BW rewrite match attempts : 964
% 70.31/10.65 % BW rewrite match successes : 96
% 70.31/10.65 % Condensation attempts : 0
% 70.31/10.65 % Condensation successes : 0
% 70.31/10.65 % Termbank termtop insertions : 9092861
% 70.31/10.65 % Search garbage collected termcells : 467
% 70.31/10.65
% 70.31/10.65 % -------------------------------------------------
% 70.31/10.65 % User time : 9.693 s
% 70.31/10.65 % System time : 0.310 s
% 70.31/10.65 % Total time : 10.002 s
% 70.31/10.65 % Maximum resident set size: 3900 pages
% 70.31/10.65
% 70.31/10.65 % -------------------------------------------------
% 70.31/10.65 % User time : 48.541 s
% 70.31/10.65 % System time : 1.346 s
% 70.31/10.65 % Total time : 49.887 s
% 70.31/10.65 % Maximum resident set size: 4864 pages
% 70.31/10.65 % E exiting
%------------------------------------------------------------------------------