%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP021+4 : TPTP v9.3.1. Bugfixed v7.5.0.
% 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 : Thu Sep 24 12:53:50 PM UTC 2026
% Result : Theorem 41.50s 12.18s
% Output : CNFRefutation 41.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 17
% Syntax : Number of formulae : 104 ( 20 unt; 0 def)
% Number of atoms : 302 ( 100 equ)
% Maximal formula atoms : 29 ( 2 avg)
% Number of connectives : 288 ( 90 ~; 111 |; 50 &)
% ( 24 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-3 aty)
% Number of variables : 107 ( 5 sgn 67 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thm_2Ebool_2EEQ__CLAUSES,axiom,
! [X8] :
( ( s(tyop_2Emin_2Ebool,X8) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
<=> ~ p(s(tyop_2Emin_2Ebool,X8)) )
& ( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X8)
<=> ~ p(s(tyop_2Emin_2Ebool,X8)) )
& ( s(tyop_2Emin_2Ebool,X8) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
<=> p(s(tyop_2Emin_2Ebool,X8)) )
& ( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X8)
<=> p(s(tyop_2Emin_2Ebool,X8)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP003+4.ax',thm_2Ebool_2EEQ__CLAUSES) ).
fof(thm_2Eextreal_2Emax__le,conjecture,
! [X75,X12,X20] :
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,X12),s(tyop_2Eextreal_2Eextreal,X20))),s(tyop_2Eextreal_2Eextreal,X75))))
<=> ( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X20),s(tyop_2Eextreal_2Eextreal,X75))))
& p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X12),s(tyop_2Eextreal_2Eextreal,X75)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Eextreal_2Emax__le) ).
fof(thm_2Eextreal_2Eextreal__max__def,axiom,
! [X9,X10] : s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,X9),s(tyop_2Eextreal_2Eextreal,X10))) = s(tyop_2Eextreal_2Eextreal,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X9),s(tyop_2Eextreal_2Eextreal,X10))),s(tyop_2Eextreal_2Eextreal,X10),s(tyop_2Eextreal_2Eextreal,X9))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Eextreal_2Eextreal__max__def) ).
fof(thm_2Ebool_2ENOT__F,axiom,
! [X8] :
( ~ p(s(tyop_2Emin_2Ebool,X8))
=> s(tyop_2Emin_2Ebool,X8) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP003+4.ax',thm_2Ebool_2ENOT__F) ).
fof(reserved_2Eho_2Ebool__cases__ax,axiom,
! [X8] :
( s(tyop_2Emin_2Ebool,X8) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| s(tyop_2Emin_2Ebool,X8) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP002+4.ax',reserved_2Eho_2Ebool__cases__ax) ).
fof(thm_2Ebool_2ECOND__CLAUSES,axiom,
! [X1,X41,X42] :
( s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),s(X1,X41),s(X1,X42))) = s(X1,X42)
& s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(X1,X41),s(X1,X42))) = s(X1,X41) ),
file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP003+4.ax',thm_2Ebool_2ECOND__CLAUSES) ).
fof(thm_2EHolSmt_2Ed017,axiom,
! [X1,X77,X12,X117] :
( s(X1,X77) = s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X117),s(X1,X12),s(X1,X77)))
| p(s(tyop_2Emin_2Ebool,X117)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP133+4.ax',thm_2EHolSmt_2Ed017) ).
fof(thm_2Eextreal_2Ele__max,axiom,
! [X75,X12,X20] :
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X75),s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,X12),s(tyop_2Eextreal_2Eextreal,X20))))))
<=> ( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X75),s(tyop_2Eextreal_2Eextreal,X20))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X75),s(tyop_2Eextreal_2Eextreal,X12)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Eextreal_2Ele__max) ).
fof(thm_2Ebool_2EIMP__CLAUSES,axiom,
! [X8] :
( ( ( p(s(tyop_2Emin_2Ebool,X8))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
<=> ~ p(s(tyop_2Emin_2Ebool,X8)) )
& ( ( p(s(tyop_2Emin_2Ebool,X8))
=> p(s(tyop_2Emin_2Ebool,X8)) )
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
& ( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
=> p(s(tyop_2Emin_2Ebool,X8)) )
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
& ( ( p(s(tyop_2Emin_2Ebool,X8))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
& ( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
=> p(s(tyop_2Emin_2Ebool,X8)) )
<=> p(s(tyop_2Emin_2Ebool,X8)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP003+4.ax',thm_2Ebool_2EIMP__CLAUSES) ).
fof(thm_2Eextreal_2Ele__antisym,axiom,
! [X9,X10] :
( ( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X10),s(tyop_2Eextreal_2Eextreal,X9))))
& p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X9),s(tyop_2Eextreal_2Eextreal,X10)))) )
<=> s(tyop_2Eextreal_2Eextreal,X9) = s(tyop_2Eextreal_2Eextreal,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Eextreal_2Ele__antisym) ).
fof(thm_2Eextreal_2Ele__total,axiom,
! [X9,X10] :
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X10),s(tyop_2Eextreal_2Eextreal,X9))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X9),s(tyop_2Eextreal_2Eextreal,X10)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Eextreal_2Ele__total) ).
fof(thm_2Eextreal_2Eextreal__lt__def,axiom,
! [X9,X10] :
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__lt_2E2(s(tyop_2Eextreal_2Eextreal,X9),s(tyop_2Eextreal_2Eextreal,X10))))
<=> ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X10),s(tyop_2Eextreal_2Eextreal,X9)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Eextreal_2Eextreal__lt__def) ).
fof(reserved_2Eho_2Eboolext,axiom,
! [X6,X7] :
( ( p(s(tyop_2Emin_2Ebool,X6))
<=> p(s(tyop_2Emin_2Ebool,X7)) )
=> s(tyop_2Emin_2Ebool,X6) = s(tyop_2Emin_2Ebool,X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP002+4.ax',reserved_2Eho_2Eboolext) ).
fof(thm_2Eextreal_2Ele__trans,axiom,
! [X9,X10,X46] :
( ( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X10),s(tyop_2Eextreal_2Eextreal,X46))))
& p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X9),s(tyop_2Eextreal_2Eextreal,X10)))) )
=> p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X9),s(tyop_2Eextreal_2Eextreal,X46)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Eextreal_2Ele__trans) ).
fof(reserved_2Eho_2Enotfalse,axiom,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP002+4.ax',reserved_2Eho_2Enotfalse) ).
fof(thm_2Eextreal_2Ele__refl,axiom,
! [X9] : p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X9),s(tyop_2Eextreal_2Eextreal,X9)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Eextreal_2Ele__refl) ).
fof(thm_2Ebool_2EBOOL__EQ__DISTINCT,axiom,
( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
& s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP003+4.ax',thm_2Ebool_2EBOOL__EQ__DISTINCT) ).
fof(c_0_17,plain,
! [X8] :
( ( s(tyop_2Emin_2Ebool,X8) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
<=> ~ p(s(tyop_2Emin_2Ebool,X8)) )
& ( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X8)
<=> ~ p(s(tyop_2Emin_2Ebool,X8)) )
& ( s(tyop_2Emin_2Ebool,X8) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
<=> p(s(tyop_2Emin_2Ebool,X8)) )
& ( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X8)
<=> p(s(tyop_2Emin_2Ebool,X8)) ) ),
inference(fof_simplification,[status(thm)],[thm_2Ebool_2EEQ__CLAUSES]) ).
fof(c_0_18,negated_conjecture,
~ ! [X75,X12,X20] :
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,X12),s(tyop_2Eextreal_2Eextreal,X20))),s(tyop_2Eextreal_2Eextreal,X75))))
<=> ( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X20),s(tyop_2Eextreal_2Eextreal,X75))))
& p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X12),s(tyop_2Eextreal_2Eextreal,X75)))) ) ),
inference(assume_negation,[status(cth)],[thm_2Eextreal_2Emax__le]) ).
fof(c_0_19,plain,
! [X18996] :
( ( s(tyop_2Emin_2Ebool,X18996) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| p(s(tyop_2Emin_2Ebool,X18996)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X18996))
| s(tyop_2Emin_2Ebool,X18996) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) )
& ( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X18996)
| p(s(tyop_2Emin_2Ebool,X18996)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X18996))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) != s(tyop_2Emin_2Ebool,X18996) )
& ( s(tyop_2Emin_2Ebool,X18996) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| ~ p(s(tyop_2Emin_2Ebool,X18996)) )
& ( p(s(tyop_2Emin_2Ebool,X18996))
| s(tyop_2Emin_2Ebool,X18996) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) )
& ( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X18996)
| ~ p(s(tyop_2Emin_2Ebool,X18996)) )
& ( p(s(tyop_2Emin_2Ebool,X18996))
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,X18996) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])]) ).
fof(c_0_20,negated_conjecture,
( ( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))),s(tyop_2Eextreal_2Eextreal,esk1_0))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk3_0),s(tyop_2Eextreal_2Eextreal,esk1_0)))) )
& ( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))),s(tyop_2Eextreal_2Eextreal,esk1_0))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk1_0)))) )
& ( ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk3_0),s(tyop_2Eextreal_2Eextreal,esk1_0))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk1_0))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))),s(tyop_2Eextreal_2Eextreal,esk1_0)))) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])])]) ).
cnf(c_0_21,plain,
( ~ p(s(tyop_2Emin_2Ebool,X1))
| s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_22,negated_conjecture,
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))),s(tyop_2Eextreal_2Eextreal,esk1_0))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk1_0)))) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_23,plain,
! [X16062,X16063] : s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,X16062),s(tyop_2Eextreal_2Eextreal,X16063))) = s(tyop_2Eextreal_2Eextreal,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X16062),s(tyop_2Eextreal_2Eextreal,X16063))),s(tyop_2Eextreal_2Eextreal,X16063),s(tyop_2Eextreal_2Eextreal,X16062))),
inference(variable_rename,[status(thm)],[thm_2Eextreal_2Eextreal__max__def]) ).
fof(c_0_24,plain,
! [X8] :
( ~ p(s(tyop_2Emin_2Ebool,X8))
=> s(tyop_2Emin_2Ebool,X8) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
inference(fof_simplification,[status(thm)],[thm_2Ebool_2ENOT__F]) ).
cnf(c_0_25,negated_conjecture,
( s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))),s(tyop_2Eextreal_2Eextreal,esk1_0))) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk1_0)))) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,plain,
s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2))) = s(tyop_2Eextreal_2Eextreal,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2))),s(tyop_2Eextreal_2Eextreal,X2),s(tyop_2Eextreal_2Eextreal,X1))),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_27,plain,
! [X18983] :
( s(tyop_2Emin_2Ebool,X18983) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| s(tyop_2Emin_2Ebool,X18983) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
inference(variable_rename,[status(thm)],[reserved_2Eho_2Ebool__cases__ax]) ).
fof(c_0_28,plain,
! [X18997,X18998,X18999] :
( s(X18997,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),s(X18997,X18998),s(X18997,X18999))) = s(X18997,X18999)
& s(X18997,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(X18997,X18998),s(X18997,X18999))) = s(X18997,X18998) ),
inference(variable_rename,[status(thm)],[thm_2Ebool_2ECOND__CLAUSES]) ).
fof(c_0_29,plain,
! [X18992] :
( s(tyop_2Emin_2Ebool,X18992) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| p(s(tyop_2Emin_2Ebool,X18992)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])]) ).
fof(c_0_30,plain,
! [X17944,X17945,X17946,X17947] :
( s(X17944,X17945) = s(X17944,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X17947),s(X17944,X17946),s(X17944,X17945)))
| p(s(tyop_2Emin_2Ebool,X17947)) ),
inference(variable_rename,[status(thm)],[thm_2EHolSmt_2Ed017]) ).
cnf(c_0_31,negated_conjecture,
( s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))),s(tyop_2Eextreal_2Eextreal,esk3_0),s(tyop_2Eextreal_2Eextreal,esk2_0))),s(tyop_2Eextreal_2Eextreal,esk1_0))) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk1_0)))) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_32,plain,
( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_33,plain,
s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),s(X1,X2),s(X1,X3))) = s(X1,X3),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_34,plain,
( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_35,plain,
! [X16064,X16065,X16066] :
( ( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X16064),s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,X16065),s(tyop_2Eextreal_2Eextreal,X16066))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X16064),s(tyop_2Eextreal_2Eextreal,X16066)))) )
& ( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X16064),s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,X16065),s(tyop_2Eextreal_2Eextreal,X16066))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X16064),s(tyop_2Eextreal_2Eextreal,X16065)))) )
& ( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X16064),s(tyop_2Eextreal_2Eextreal,X16066))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X16064),s(tyop_2Eextreal_2Eextreal,X16065))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X16064),s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,X16065),s(tyop_2Eextreal_2Eextreal,X16066)))))) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[thm_2Eextreal_2Ele__max])])])]) ).
cnf(c_0_36,plain,
( s(X2,X3) = s(X2,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X1),s(X2,X4),s(X2,X3)))
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_37,plain,
( ~ p(s(tyop_2Emin_2Ebool,X1))
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_38,negated_conjecture,
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk1_0))))
| s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),c_0_34]) ).
cnf(c_0_39,plain,
( ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,X3),s(tyop_2Eextreal_2Eextreal,X2)))))) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_40,negated_conjecture,
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk1_0))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0)))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_36]),c_0_34]) ).
cnf(c_0_41,negated_conjecture,
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk1_0))))
| s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))),s(tyop_2Eextreal_2Eextreal,esk1_0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
inference(spm,[status(thm)],[c_0_37,c_0_22]) ).
cnf(c_0_42,plain,
s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(X1,X2),s(X1,X3))) = s(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_43,negated_conjecture,
( s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk1_0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
fof(c_0_44,plain,
! [X8] :
( ( ( p(s(tyop_2Emin_2Ebool,X8))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
<=> ~ p(s(tyop_2Emin_2Ebool,X8)) )
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
& ( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
=> p(s(tyop_2Emin_2Ebool,X8)) )
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
& ( ( p(s(tyop_2Emin_2Ebool,X8))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
& ( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
=> p(s(tyop_2Emin_2Ebool,X8)) )
<=> p(s(tyop_2Emin_2Ebool,X8)) ) ),
inference(fof_simplification,[status(thm)],[thm_2Ebool_2EIMP__CLAUSES]) ).
cnf(c_0_45,negated_conjecture,
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk1_0))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,esk3_0)))))) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_46,negated_conjecture,
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk1_0))))
| s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))),s(tyop_2Eextreal_2Eextreal,esk3_0),s(tyop_2Eextreal_2Eextreal,esk2_0))),s(tyop_2Eextreal_2Eextreal,esk1_0))) = s(tyop_2Eextreal_2Eextreal,esk1_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_41]),c_0_42]),c_0_26]) ).
fof(c_0_47,plain,
! [X16044,X16045] :
( ( s(tyop_2Eextreal_2Eextreal,X16044) != s(tyop_2Eextreal_2Eextreal,X16045)
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X16045),s(tyop_2Eextreal_2Eextreal,X16044)))) )
& ( s(tyop_2Eextreal_2Eextreal,X16044) != s(tyop_2Eextreal_2Eextreal,X16045)
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X16044),s(tyop_2Eextreal_2Eextreal,X16045)))) )
& ( s(tyop_2Eextreal_2Eextreal,X16044) = s(tyop_2Eextreal_2Eextreal,X16045)
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X16045),s(tyop_2Eextreal_2Eextreal,X16044))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X16044),s(tyop_2Eextreal_2Eextreal,X16045)))) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[thm_2Eextreal_2Ele__antisym])])])]) ).
cnf(c_0_48,negated_conjecture,
( s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk3_0),s(tyop_2Eextreal_2Eextreal,esk1_0))) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk1_0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_43]),c_0_42]),c_0_37]) ).
fof(c_0_49,plain,
! [X18995] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,X18995))
| p(s(tyop_2Emin_2Ebool,X18995)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X18995))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X18995))
| p(s(tyop_2Emin_2Ebool,X18995)) )
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
& ( p(s(tyop_2Emin_2Ebool,X18995))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
& ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| ~ p(s(tyop_2Emin_2Ebool,X18995)) )
& ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
& ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| ~ p(s(tyop_2Emin_2Ebool,X18995))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
& ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
& ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| p(s(tyop_2Emin_2Ebool,X18995)) )
& ( p(s(tyop_2Emin_2Ebool,X18995))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| ~ p(s(tyop_2Emin_2Ebool,X18995)) )
& ( p(s(tyop_2Emin_2Ebool,X18995))
| ~ p(s(tyop_2Emin_2Ebool,X18995)) )
& ( p(s(tyop_2Emin_2Ebool,X18995))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])])])]) ).
cnf(c_0_50,negated_conjecture,
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk1_0))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,esk3_0))),s(tyop_2Eextreal_2Eextreal,esk3_0),s(tyop_2Eextreal_2Eextreal,esk1_0)))))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_26]) ).
fof(c_0_51,plain,
! [X16046,X16047] :
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X16047),s(tyop_2Eextreal_2Eextreal,X16046))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X16046),s(tyop_2Eextreal_2Eextreal,X16047)))) ),
inference(variable_rename,[status(thm)],[thm_2Eextreal_2Ele__total]) ).
fof(c_0_52,plain,
! [X9,X10] :
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__lt_2E2(s(tyop_2Eextreal_2Eextreal,X9),s(tyop_2Eextreal_2Eextreal,X10))))
<=> ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X10),s(tyop_2Eextreal_2Eextreal,X9)))) ),
inference(fof_simplification,[status(thm)],[thm_2Eextreal_2Eextreal__lt__def]) ).
cnf(c_0_53,plain,
( ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X2),s(tyop_2Eextreal_2Eextreal,X1))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2))))
| s(tyop_2Eextreal_2Eextreal,X1) = s(tyop_2Eextreal_2Eextreal,X2) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_54,negated_conjecture,
( s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk1_0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk3_0),s(tyop_2Eextreal_2Eextreal,esk1_0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
inference(spm,[status(thm)],[c_0_48,c_0_32]) ).
cnf(c_0_55,plain,
p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_56,negated_conjecture,
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk1_0))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,esk3_0)))) ),
inference(spm,[status(thm)],[c_0_50,c_0_36]) ).
cnf(c_0_57,negated_conjecture,
( ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk3_0),s(tyop_2Eextreal_2Eextreal,esk1_0))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk1_0))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))),s(tyop_2Eextreal_2Eextreal,esk1_0)))) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_58,plain,
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X2),s(tyop_2Eextreal_2Eextreal,X1))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2)))) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
fof(c_0_59,plain,
! [X18107,X18108] :
( ( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__lt_2E2(s(tyop_2Eextreal_2Eextreal,X18107),s(tyop_2Eextreal_2Eextreal,X18108))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X18108),s(tyop_2Eextreal_2Eextreal,X18107)))) )
& ( ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X18108),s(tyop_2Eextreal_2Eextreal,X18107))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__lt_2E2(s(tyop_2Eextreal_2Eextreal,X18107),s(tyop_2Eextreal_2Eextreal,X18108)))) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])])]) ).
cnf(c_0_60,negated_conjecture,
( ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,esk3_0))))
| s(tyop_2Eextreal_2Eextreal,esk3_0) = s(tyop_2Eextreal_2Eextreal,esk1_0)
| s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk1_0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55])]) ).
cnf(c_0_61,negated_conjecture,
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,esk3_0))))
| s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk1_0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
inference(spm,[status(thm)],[c_0_37,c_0_56]) ).
fof(c_0_62,plain,
! [X14909,X14910] :
( ( s(tyop_2Emin_2Ebool,X14909) = s(tyop_2Emin_2Ebool,X14910)
| p(s(tyop_2Emin_2Ebool,X14910))
| p(s(tyop_2Emin_2Ebool,X14909)) )
& ( s(tyop_2Emin_2Ebool,X14909) = s(tyop_2Emin_2Ebool,X14910)
| ~ p(s(tyop_2Emin_2Ebool,X14910))
| ~ p(s(tyop_2Emin_2Ebool,X14909)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reserved_2Eho_2Eboolext])])])]) ).
cnf(c_0_63,negated_conjecture,
( ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))),s(tyop_2Eextreal_2Eextreal,esk3_0),s(tyop_2Eextreal_2Eextreal,esk2_0))),s(tyop_2Eextreal_2Eextreal,esk1_0))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,esk3_0)))) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_56]),c_0_26]),c_0_58]) ).
cnf(c_0_64,plain,
( ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X2),s(tyop_2Eextreal_2Eextreal,X1))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__lt_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2)))) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_65,negated_conjecture,
( s(tyop_2Eextreal_2Eextreal,esk3_0) = s(tyop_2Eextreal_2Eextreal,esk1_0)
| s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk1_0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_66,plain,
( ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X2) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_67,negated_conjecture,
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,esk3_0))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0)))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_36]),c_0_56]) ).
cnf(c_0_68,negated_conjecture,
( ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__lt_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,esk2_0))))
| s(tyop_2Eextreal_2Eextreal,esk3_0) = s(tyop_2Eextreal_2Eextreal,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_55])]) ).
cnf(c_0_69,plain,
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__lt_2E2(s(tyop_2Eextreal_2Eextreal,X2),s(tyop_2Eextreal_2Eextreal,X1))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2)))) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_70,negated_conjecture,
( ~ p(s(tyop_2Emin_2Ebool,X1))
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk1_0)))
| s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
inference(spm,[status(thm)],[c_0_66,c_0_38]) ).
cnf(c_0_71,negated_conjecture,
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,esk3_0))))
| s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
inference(spm,[status(thm)],[c_0_37,c_0_67]) ).
cnf(c_0_72,negated_conjecture,
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk1_0))))
| s(tyop_2Eextreal_2Eextreal,esk3_0) = s(tyop_2Eextreal_2Eextreal,esk1_0) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_73,negated_conjecture,
( s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk1_0))) = s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,esk3_0))) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_74,negated_conjecture,
( ~ p(s(tyop_2Emin_2Ebool,X1))
| s(tyop_2Eextreal_2Eextreal,esk3_0) = s(tyop_2Eextreal_2Eextreal,esk1_0)
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk1_0))) ),
inference(spm,[status(thm)],[c_0_66,c_0_72]) ).
cnf(c_0_75,negated_conjecture,
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,esk3_0))))
| s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk1_0))) = s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,esk3_0))) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_73]),c_0_42]),c_0_58]) ).
cnf(c_0_76,negated_conjecture,
( s(tyop_2Eextreal_2Eextreal,esk3_0) = s(tyop_2Eextreal_2Eextreal,esk1_0)
| s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk1_0))) = s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,esk3_0))) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_77,plain,
( s(tyop_2Eextreal_2Eextreal,X2) != s(tyop_2Eextreal_2Eextreal,X1)
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2)))) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
fof(c_0_78,plain,
! [X16041,X16042,X16043] :
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X16041),s(tyop_2Eextreal_2Eextreal,X16043))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X16042),s(tyop_2Eextreal_2Eextreal,X16043))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X16041),s(tyop_2Eextreal_2Eextreal,X16042)))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[thm_2Eextreal_2Ele__trans])])]) ).
cnf(c_0_79,negated_conjecture,
p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,esk3_0)))),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_76]),c_0_77]) ).
cnf(c_0_80,plain,
( ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X2),s(tyop_2Eextreal_2Eextreal,X3))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X3)))) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_81,negated_conjecture,
s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,esk3_0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),
inference(spm,[status(thm)],[c_0_37,c_0_79]) ).
cnf(c_0_82,negated_conjecture,
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))),s(tyop_2Eextreal_2Eextreal,esk1_0))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk3_0),s(tyop_2Eextreal_2Eextreal,esk1_0)))) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_83,negated_conjecture,
( ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,esk1_0))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,esk3_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_55])]) ).
fof(c_0_84,plain,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
inference(fof_simplification,[status(thm)],[reserved_2Eho_2Enotfalse]) ).
cnf(c_0_85,negated_conjecture,
( s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))),s(tyop_2Eextreal_2Eextreal,esk1_0))) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk3_0),s(tyop_2Eextreal_2Eextreal,esk1_0)))) ),
inference(spm,[status(thm)],[c_0_21,c_0_82]) ).
cnf(c_0_86,negated_conjecture,
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))))
| s(tyop_2Eextreal_2Eextreal,esk3_0) = s(tyop_2Eextreal_2Eextreal,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_65]),c_0_55])]) ).
cnf(c_0_87,negated_conjecture,
( ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk3_0),s(tyop_2Eextreal_2Eextreal,esk1_0))))
| s(tyop_2Eextreal_2Eextreal,esk3_0) = s(tyop_2Eextreal_2Eextreal,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_81]),c_0_55])]) ).
fof(c_0_88,plain,
! [X16037] : p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X16037),s(tyop_2Eextreal_2Eextreal,X16037)))),
inference(variable_rename,[status(thm)],[thm_2Eextreal_2Ele__refl]) ).
fof(c_0_89,plain,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
inference(fof_nnf,[status(thm)],[c_0_84]) ).
cnf(c_0_90,negated_conjecture,
( s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))),s(tyop_2Eextreal_2Eextreal,esk3_0),s(tyop_2Eextreal_2Eextreal,esk2_0))),s(tyop_2Eextreal_2Eextreal,esk1_0))) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk3_0),s(tyop_2Eextreal_2Eextreal,esk1_0)))) ),
inference(spm,[status(thm)],[c_0_85,c_0_26]) ).
cnf(c_0_91,negated_conjecture,
( s(tyop_2Eextreal_2Eextreal,esk3_0) = s(tyop_2Eextreal_2Eextreal,esk1_0)
| s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
inference(spm,[status(thm)],[c_0_37,c_0_86]) ).
cnf(c_0_92,negated_conjecture,
( s(tyop_2Eextreal_2Eextreal,esk3_0) = s(tyop_2Eextreal_2Eextreal,esk1_0)
| s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk3_0),s(tyop_2Eextreal_2Eextreal,esk1_0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
inference(spm,[status(thm)],[c_0_87,c_0_34]) ).
fof(c_0_93,plain,
( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
& s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
inference(fof_simplification,[status(thm)],[thm_2Ebool_2EBOOL__EQ__DISTINCT]) ).
cnf(c_0_94,negated_conjecture,
( ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk3_0),s(tyop_2Eextreal_2Eextreal,esk1_0))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))),s(tyop_2Eextreal_2Eextreal,esk1_0))))
| s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk1_0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
inference(spm,[status(thm)],[c_0_57,c_0_34]) ).
cnf(c_0_95,plain,
p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X1)))),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_96,plain,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_97,negated_conjecture,
s(tyop_2Eextreal_2Eextreal,esk3_0) = s(tyop_2Eextreal_2Eextreal,esk1_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_42]),c_0_92]),c_0_87]) ).
fof(c_0_98,plain,
( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
& s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
inference(fof_nnf,[status(thm)],[c_0_93]) ).
cnf(c_0_99,negated_conjecture,
( ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))),s(tyop_2Eextreal_2Eextreal,esk1_0))))
| s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk1_0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk3_0),s(tyop_2Eextreal_2Eextreal,esk1_0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
inference(spm,[status(thm)],[c_0_94,c_0_34]) ).
cnf(c_0_100,plain,
s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X1))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_32]),c_0_96]) ).
cnf(c_0_101,negated_conjecture,
s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk1_0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),
inference(spm,[status(thm)],[c_0_43,c_0_97]) ).
cnf(c_0_102,plain,
s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_103,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_97]),c_0_100]),c_0_101]),c_0_26]),c_0_97]),c_0_101]),c_0_97]),c_0_42]),c_0_100]),c_0_55])]),c_0_102]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP021+4 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.36 % Computer : n007.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 21:50:53 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.41 Running first-order theorem proving
% 0.08/0.41 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 41.50/12.18 % Version: 3.5.1
% 41.50/12.18 % Preprocessing class: FMLLSMLLSSSNFFN.
% 41.50/12.18 % Scheduled 4 strats onto 8 cores with 295 seconds (2360 total)
% 41.50/12.18 % Starting new_bool_3 with 885s (3) cores
% 41.50/12.18 % Starting new_bool_1 with 885s (3) cores
% 41.50/12.18 % Starting sh5l with 295s (1) cores
% 41.50/12.18 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 295s (1) cores
% 41.50/12.18 % new_bool_1 with pid 3640422 completed with status 0
% 41.50/12.18 % Result found by new_bool_1
% 41.50/12.18 % Preprocessing class: FMLLSMLLSSSNFFN.
% 41.50/12.18 % Scheduled 4 strats onto 8 cores with 295 seconds (2360 total)
% 41.50/12.18 % Starting new_bool_3 with 885s (3) cores
% 41.50/12.18 % Starting new_bool_1 with 885s (3) cores
% 41.50/12.18 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 41.50/12.18 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 41.50/12.18 % Search class: FGHSM-SMLM33-DFFFFFNN
% 41.50/12.18 % Scheduled 7 strats onto 3 cores with 884 seconds (884 total)
% 41.50/12.18 % Starting SubtermCWHack with 80s (1) cores
% 41.50/12.18 % Starting new_bool_1 with 89s (1) cores
% 41.50/12.18 % Starting U----_206e_00_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 80s (1) cores
% 41.50/12.18 % new_bool_1 with pid 3640426 completed with status 0
% 41.50/12.18 % Result found by new_bool_1
% 41.50/12.18 % Preprocessing class: FMLLSMLLSSSNFFN.
% 41.50/12.18 % Scheduled 4 strats onto 8 cores with 295 seconds (2360 total)
% 41.50/12.18 % Starting new_bool_3 with 885s (3) cores
% 41.50/12.18 % Starting new_bool_1 with 885s (3) cores
% 41.50/12.18 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 41.50/12.18 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 41.50/12.18 % Search class: FGHSM-SMLM33-DFFFFFNN
% 41.50/12.18 % Scheduled 7 strats onto 3 cores with 884 seconds (884 total)
% 41.50/12.18 % Starting SubtermCWHack with 80s (1) cores
% 41.50/12.18 % Starting new_bool_1 with 89s (1) cores
% 41.50/12.18 % Preprocessing time : 0.194 s
% 41.50/12.18 % Presaturation interreduction done
% 41.50/12.18
% 41.50/12.18 % Proof found!
% 41.50/12.18 % SZS status Theorem
% 41.50/12.18 % SZS output start CNFRefutation
% See solution above
% 41.50/12.18 % Parsed axioms : 25709
% 41.50/12.18 % Removed by relevancy pruning/SinE : 23764
% 41.50/12.18 % Initial clauses : 4298
% 41.50/12.18 % Removed in clause preprocessing : 1062
% 41.50/12.18 % Initial clauses in saturation : 3236
% 41.50/12.18 % Processed clauses : 8713
% 41.50/12.18 % ...of these trivial : 529
% 41.50/12.18 % ...subsumed : 5344
% 41.50/12.18 % ...remaining for further processing : 2840
% 41.50/12.18 % Other redundant clauses eliminated : 0
% 41.50/12.18 % Clauses deleted for lack of memory : 0
% 41.50/12.18 % Backward-subsumed : 52
% 41.50/12.18 % Backward-rewritten : 196
% 41.50/12.18 % Generated clauses : 96824
% 41.50/12.18 % ...of the previous two non-redundant : 69092
% 41.50/12.18 % ...aggressively subsumed : 0
% 41.50/12.18 % Contextual simplify-reflections : 32
% 41.50/12.18 % Paramodulations : 96686
% 41.50/12.18 % Factorizations : 16
% 41.50/12.18 % NegExts : 0
% 41.50/12.18 % Equation resolutions : 122
% 41.50/12.18 % Disequality decompositions : 0
% 41.50/12.18 % Total rewrite steps : 50342
% 41.50/12.18 % ...of those cached : 37460
% 41.50/12.18 % Propositional unsat checks : 0
% 41.50/12.18 % Propositional check models : 0
% 41.50/12.18 % Propositional check unsatisfiable : 0
% 41.50/12.18 % Propositional clauses : 0
% 41.50/12.18 % Propositional clauses after purity: 0
% 41.50/12.18 % Propositional unsat core size : 0
% 41.50/12.18 % Propositional preprocessing time : 0.000
% 41.50/12.18 % Propositional encoding time : 0.000
% 41.50/12.18 % Propositional solver time : 0.000
% 41.50/12.18 % Success case prop preproc time : 0.000
% 41.50/12.18 % Success case prop encoding time : 0.000
% 41.50/12.18 % Success case prop solver time : 0.000
% 41.50/12.18 % Current number of processed clauses : 823
% 41.50/12.18 % Positive orientable unit clauses : 295
% 41.50/12.18 % Positive unorientable unit clauses: 11
% 41.50/12.18 % Negative unit clauses : 54
% 41.50/12.18 % Non-unit-clauses : 463
% 41.50/12.18 % Current number of unprocessed clauses: 65317
% 41.50/12.18 % ...number of literals in the above : 162912
% 41.50/12.18 % Current number of archived formulas : 0
% 41.50/12.18 % Current number of archived clauses : 2017
% 41.50/12.18 % Clause-clause subsumption calls (NU) : 1787079
% 41.50/12.18 % Rec. Clause-clause subsumption calls : 152764
% 41.50/12.18 % Non-unit clause-clause subsumptions : 2158
% 41.50/12.18 % Unit Clause-clause subsumption calls : 5833
% 41.50/12.18 % Rewrite failures with RHS unbound : 16
% 41.50/12.18 % BW rewrite match attempts : 8309
% 41.50/12.18 % BW rewrite match successes : 251
% 41.50/12.18 % Condensation attempts : 0
% 41.50/12.18 % Condensation successes : 0
% 41.50/12.18 % Termbank termtop insertions : 5274874
% 41.50/12.18 % Search garbage collected termcells : 418983
% 41.50/12.18
% 41.50/12.18 % -------------------------------------------------
% 41.50/12.18 % User time : 5.378 s
% 41.50/12.18 % System time : 0.266 s
% 41.50/12.18 % Total time : 5.643 s
% 41.50/12.18 % Maximum resident set size: 77624 pages
% 41.50/12.18
% 41.50/12.18 % -------------------------------------------------
% 41.50/12.18 % User time : 19.996 s
% 41.50/12.18 % System time : 0.711 s
% 41.50/12.18 % Total time : 20.707 s
% 41.50/12.18 % Maximum resident set size: 66304 pages
% 41.50/12.18 % E exiting
%------------------------------------------------------------------------------