TSTP Solution File: SET791+4 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SET791+4 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n004.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 : Thu Aug 31 14:35:34 EDT 2023
% Result : Theorem 0.20s 0.57s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 37
% Syntax : Number of formulae : 61 ( 6 unt; 32 typ; 0 def)
% Number of atoms : 379 ( 21 equ)
% Maximal formula atoms : 256 ( 13 avg)
% Number of connectives : 461 ( 111 ~; 240 |; 91 &)
% ( 5 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 77 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 79 ( 29 >; 50 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-4 aty)
% Number of functors : 19 ( 19 usr; 3 con; 0-4 aty)
% Number of variables : 86 ( 1 sgn; 58 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
order: ( $i * $i ) > $o ).
tff(decl_23,type,
member: ( $i * $i ) > $o ).
tff(decl_24,type,
apply: ( $i * $i * $i ) > $o ).
tff(decl_25,type,
total_order: ( $i * $i ) > $o ).
tff(decl_26,type,
upper_bound: ( $i * $i * $i ) > $o ).
tff(decl_27,type,
lower_bound: ( $i * $i * $i ) > $o ).
tff(decl_28,type,
greatest: ( $i * $i * $i ) > $o ).
tff(decl_29,type,
least: ( $i * $i * $i ) > $o ).
tff(decl_30,type,
max: ( $i * $i * $i ) > $o ).
tff(decl_31,type,
min: ( $i * $i * $i ) > $o ).
tff(decl_32,type,
least_upper_bound: ( $i * $i * $i * $i ) > $o ).
tff(decl_33,type,
greatest_lower_bound: ( $i * $i * $i * $i ) > $o ).
tff(decl_34,type,
epred1_2: ( $i * $i ) > $o ).
tff(decl_35,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_36,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_37,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_38,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_39,type,
esk5_3: ( $i * $i * $i ) > $i ).
tff(decl_40,type,
esk6_3: ( $i * $i * $i ) > $i ).
tff(decl_41,type,
esk7_3: ( $i * $i * $i ) > $i ).
tff(decl_42,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_43,type,
esk9_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_44,type,
esk10_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_45,type,
esk11_0: $i ).
tff(decl_46,type,
esk12_0: $i ).
tff(decl_47,type,
esk13_0: $i ).
tff(decl_48,type,
esk14_2: ( $i * $i ) > $i ).
tff(decl_49,type,
esk15_2: ( $i * $i ) > $i ).
tff(decl_50,type,
esk16_2: ( $i * $i ) > $i ).
tff(decl_51,type,
esk17_2: ( $i * $i ) > $i ).
tff(decl_52,type,
esk18_2: ( $i * $i ) > $i ).
tff(decl_53,type,
esk19_2: ( $i * $i ) > $i ).
fof(thIV3,conjecture,
! [X1,X2,X6] :
( ( order(X1,X2)
& greatest(X6,X1,X2) )
=> max(X6,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIV3) ).
fof(greatest,axiom,
! [X1,X2,X6] :
( greatest(X6,X1,X2)
<=> ( member(X6,X2)
& ! [X3] :
( member(X3,X2)
=> apply(X1,X3,X6) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+3.ax',greatest) ).
fof(max,axiom,
! [X1,X2,X6] :
( max(X6,X1,X2)
<=> ( member(X6,X2)
& ! [X3] :
( ( member(X3,X2)
& apply(X1,X6,X3) )
=> X6 = X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+3.ax',max) ).
fof(order,axiom,
! [X1,X2] :
( order(X1,X2)
<=> ( ! [X3] :
( member(X3,X2)
=> apply(X1,X3,X3) )
& ! [X3,X4] :
( ( member(X3,X2)
& member(X4,X2) )
=> ( ( apply(X1,X3,X4)
& apply(X1,X4,X3) )
=> X3 = X4 ) )
& ! [X3,X4,X5] :
( ( member(X3,X2)
& member(X4,X2)
& member(X5,X2) )
=> ( ( apply(X1,X3,X4)
& apply(X1,X4,X5) )
=> apply(X1,X3,X5) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+3.ax',order) ).
fof(c_0_4,negated_conjecture,
~ ! [X1,X2,X6] :
( ( order(X1,X2)
& greatest(X6,X1,X2) )
=> max(X6,X1,X2) ),
inference(assume_negation,[status(cth)],[thIV3]) ).
fof(c_0_5,plain,
! [X2,X1] :
( epred1_2(X1,X2)
<=> ( ! [X3] :
( member(X3,X2)
=> apply(X1,X3,X3) )
& ! [X3,X4] :
( ( member(X3,X2)
& member(X4,X2) )
=> ( ( apply(X1,X3,X4)
& apply(X1,X4,X3) )
=> X3 = X4 ) )
& ! [X3,X4,X5] :
( ( member(X3,X2)
& member(X4,X2)
& member(X5,X2) )
=> ( ( apply(X1,X3,X4)
& apply(X1,X4,X5) )
=> apply(X1,X3,X5) ) ) ) ),
introduced(definition) ).
fof(c_0_6,plain,
! [X34,X35,X36,X37,X38,X39,X40] :
( ( member(X36,X35)
| ~ greatest(X36,X34,X35) )
& ( ~ member(X37,X35)
| apply(X34,X37,X36)
| ~ greatest(X36,X34,X35) )
& ( member(esk5_3(X38,X39,X40),X39)
| ~ member(X40,X39)
| greatest(X40,X38,X39) )
& ( ~ apply(X38,esk5_3(X38,X39,X40),X40)
| ~ member(X40,X39)
| greatest(X40,X38,X39) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[greatest])])])])])]) ).
fof(c_0_7,negated_conjecture,
( order(esk11_0,esk12_0)
& greatest(esk13_0,esk11_0,esk12_0)
& ~ max(esk13_0,esk11_0,esk12_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
fof(c_0_8,plain,
! [X89,X90,X91,X92,X93,X94,X95,X96,X97,X98] :
( ( ~ member(X91,X89)
| apply(X90,X91,X91)
| ~ epred1_2(X90,X89) )
& ( ~ member(X92,X89)
| ~ member(X93,X89)
| ~ apply(X90,X92,X93)
| ~ apply(X90,X93,X92)
| X92 = X93
| ~ epred1_2(X90,X89) )
& ( ~ member(X94,X89)
| ~ member(X95,X89)
| ~ member(X96,X89)
| ~ apply(X90,X94,X95)
| ~ apply(X90,X95,X96)
| apply(X90,X94,X96)
| ~ epred1_2(X90,X89) )
& ( member(esk17_2(X97,X98),X97)
| member(esk15_2(X97,X98),X97)
| member(esk14_2(X97,X98),X97)
| epred1_2(X98,X97) )
& ( member(esk18_2(X97,X98),X97)
| member(esk15_2(X97,X98),X97)
| member(esk14_2(X97,X98),X97)
| epred1_2(X98,X97) )
& ( member(esk19_2(X97,X98),X97)
| member(esk15_2(X97,X98),X97)
| member(esk14_2(X97,X98),X97)
| epred1_2(X98,X97) )
& ( apply(X98,esk17_2(X97,X98),esk18_2(X97,X98))
| member(esk15_2(X97,X98),X97)
| member(esk14_2(X97,X98),X97)
| epred1_2(X98,X97) )
& ( apply(X98,esk18_2(X97,X98),esk19_2(X97,X98))
| member(esk15_2(X97,X98),X97)
| member(esk14_2(X97,X98),X97)
| epred1_2(X98,X97) )
& ( ~ apply(X98,esk17_2(X97,X98),esk19_2(X97,X98))
| member(esk15_2(X97,X98),X97)
| member(esk14_2(X97,X98),X97)
| epred1_2(X98,X97) )
& ( member(esk17_2(X97,X98),X97)
| member(esk16_2(X97,X98),X97)
| member(esk14_2(X97,X98),X97)
| epred1_2(X98,X97) )
& ( member(esk18_2(X97,X98),X97)
| member(esk16_2(X97,X98),X97)
| member(esk14_2(X97,X98),X97)
| epred1_2(X98,X97) )
& ( member(esk19_2(X97,X98),X97)
| member(esk16_2(X97,X98),X97)
| member(esk14_2(X97,X98),X97)
| epred1_2(X98,X97) )
& ( apply(X98,esk17_2(X97,X98),esk18_2(X97,X98))
| member(esk16_2(X97,X98),X97)
| member(esk14_2(X97,X98),X97)
| epred1_2(X98,X97) )
& ( apply(X98,esk18_2(X97,X98),esk19_2(X97,X98))
| member(esk16_2(X97,X98),X97)
| member(esk14_2(X97,X98),X97)
| epred1_2(X98,X97) )
& ( ~ apply(X98,esk17_2(X97,X98),esk19_2(X97,X98))
| member(esk16_2(X97,X98),X97)
| member(esk14_2(X97,X98),X97)
| epred1_2(X98,X97) )
& ( member(esk17_2(X97,X98),X97)
| apply(X98,esk15_2(X97,X98),esk16_2(X97,X98))
| member(esk14_2(X97,X98),X97)
| epred1_2(X98,X97) )
& ( member(esk18_2(X97,X98),X97)
| apply(X98,esk15_2(X97,X98),esk16_2(X97,X98))
| member(esk14_2(X97,X98),X97)
| epred1_2(X98,X97) )
& ( member(esk19_2(X97,X98),X97)
| apply(X98,esk15_2(X97,X98),esk16_2(X97,X98))
| member(esk14_2(X97,X98),X97)
| epred1_2(X98,X97) )
& ( apply(X98,esk17_2(X97,X98),esk18_2(X97,X98))
| apply(X98,esk15_2(X97,X98),esk16_2(X97,X98))
| member(esk14_2(X97,X98),X97)
| epred1_2(X98,X97) )
& ( apply(X98,esk18_2(X97,X98),esk19_2(X97,X98))
| apply(X98,esk15_2(X97,X98),esk16_2(X97,X98))
| member(esk14_2(X97,X98),X97)
| epred1_2(X98,X97) )
& ( ~ apply(X98,esk17_2(X97,X98),esk19_2(X97,X98))
| apply(X98,esk15_2(X97,X98),esk16_2(X97,X98))
| member(esk14_2(X97,X98),X97)
| epred1_2(X98,X97) )
& ( member(esk17_2(X97,X98),X97)
| apply(X98,esk16_2(X97,X98),esk15_2(X97,X98))
| member(esk14_2(X97,X98),X97)
| epred1_2(X98,X97) )
& ( member(esk18_2(X97,X98),X97)
| apply(X98,esk16_2(X97,X98),esk15_2(X97,X98))
| member(esk14_2(X97,X98),X97)
| epred1_2(X98,X97) )
& ( member(esk19_2(X97,X98),X97)
| apply(X98,esk16_2(X97,X98),esk15_2(X97,X98))
| member(esk14_2(X97,X98),X97)
| epred1_2(X98,X97) )
& ( apply(X98,esk17_2(X97,X98),esk18_2(X97,X98))
| apply(X98,esk16_2(X97,X98),esk15_2(X97,X98))
| member(esk14_2(X97,X98),X97)
| epred1_2(X98,X97) )
& ( apply(X98,esk18_2(X97,X98),esk19_2(X97,X98))
| apply(X98,esk16_2(X97,X98),esk15_2(X97,X98))
| member(esk14_2(X97,X98),X97)
| epred1_2(X98,X97) )
& ( ~ apply(X98,esk17_2(X97,X98),esk19_2(X97,X98))
| apply(X98,esk16_2(X97,X98),esk15_2(X97,X98))
| member(esk14_2(X97,X98),X97)
| epred1_2(X98,X97) )
& ( member(esk17_2(X97,X98),X97)
| esk15_2(X97,X98) != esk16_2(X97,X98)
| member(esk14_2(X97,X98),X97)
| epred1_2(X98,X97) )
& ( member(esk18_2(X97,X98),X97)
| esk15_2(X97,X98) != esk16_2(X97,X98)
| member(esk14_2(X97,X98),X97)
| epred1_2(X98,X97) )
& ( member(esk19_2(X97,X98),X97)
| esk15_2(X97,X98) != esk16_2(X97,X98)
| member(esk14_2(X97,X98),X97)
| epred1_2(X98,X97) )
& ( apply(X98,esk17_2(X97,X98),esk18_2(X97,X98))
| esk15_2(X97,X98) != esk16_2(X97,X98)
| member(esk14_2(X97,X98),X97)
| epred1_2(X98,X97) )
& ( apply(X98,esk18_2(X97,X98),esk19_2(X97,X98))
| esk15_2(X97,X98) != esk16_2(X97,X98)
| member(esk14_2(X97,X98),X97)
| epred1_2(X98,X97) )
& ( ~ apply(X98,esk17_2(X97,X98),esk19_2(X97,X98))
| esk15_2(X97,X98) != esk16_2(X97,X98)
| member(esk14_2(X97,X98),X97)
| epred1_2(X98,X97) )
& ( member(esk17_2(X97,X98),X97)
| member(esk15_2(X97,X98),X97)
| ~ apply(X98,esk14_2(X97,X98),esk14_2(X97,X98))
| epred1_2(X98,X97) )
& ( member(esk18_2(X97,X98),X97)
| member(esk15_2(X97,X98),X97)
| ~ apply(X98,esk14_2(X97,X98),esk14_2(X97,X98))
| epred1_2(X98,X97) )
& ( member(esk19_2(X97,X98),X97)
| member(esk15_2(X97,X98),X97)
| ~ apply(X98,esk14_2(X97,X98),esk14_2(X97,X98))
| epred1_2(X98,X97) )
& ( apply(X98,esk17_2(X97,X98),esk18_2(X97,X98))
| member(esk15_2(X97,X98),X97)
| ~ apply(X98,esk14_2(X97,X98),esk14_2(X97,X98))
| epred1_2(X98,X97) )
& ( apply(X98,esk18_2(X97,X98),esk19_2(X97,X98))
| member(esk15_2(X97,X98),X97)
| ~ apply(X98,esk14_2(X97,X98),esk14_2(X97,X98))
| epred1_2(X98,X97) )
& ( ~ apply(X98,esk17_2(X97,X98),esk19_2(X97,X98))
| member(esk15_2(X97,X98),X97)
| ~ apply(X98,esk14_2(X97,X98),esk14_2(X97,X98))
| epred1_2(X98,X97) )
& ( member(esk17_2(X97,X98),X97)
| member(esk16_2(X97,X98),X97)
| ~ apply(X98,esk14_2(X97,X98),esk14_2(X97,X98))
| epred1_2(X98,X97) )
& ( member(esk18_2(X97,X98),X97)
| member(esk16_2(X97,X98),X97)
| ~ apply(X98,esk14_2(X97,X98),esk14_2(X97,X98))
| epred1_2(X98,X97) )
& ( member(esk19_2(X97,X98),X97)
| member(esk16_2(X97,X98),X97)
| ~ apply(X98,esk14_2(X97,X98),esk14_2(X97,X98))
| epred1_2(X98,X97) )
& ( apply(X98,esk17_2(X97,X98),esk18_2(X97,X98))
| member(esk16_2(X97,X98),X97)
| ~ apply(X98,esk14_2(X97,X98),esk14_2(X97,X98))
| epred1_2(X98,X97) )
& ( apply(X98,esk18_2(X97,X98),esk19_2(X97,X98))
| member(esk16_2(X97,X98),X97)
| ~ apply(X98,esk14_2(X97,X98),esk14_2(X97,X98))
| epred1_2(X98,X97) )
& ( ~ apply(X98,esk17_2(X97,X98),esk19_2(X97,X98))
| member(esk16_2(X97,X98),X97)
| ~ apply(X98,esk14_2(X97,X98),esk14_2(X97,X98))
| epred1_2(X98,X97) )
& ( member(esk17_2(X97,X98),X97)
| apply(X98,esk15_2(X97,X98),esk16_2(X97,X98))
| ~ apply(X98,esk14_2(X97,X98),esk14_2(X97,X98))
| epred1_2(X98,X97) )
& ( member(esk18_2(X97,X98),X97)
| apply(X98,esk15_2(X97,X98),esk16_2(X97,X98))
| ~ apply(X98,esk14_2(X97,X98),esk14_2(X97,X98))
| epred1_2(X98,X97) )
& ( member(esk19_2(X97,X98),X97)
| apply(X98,esk15_2(X97,X98),esk16_2(X97,X98))
| ~ apply(X98,esk14_2(X97,X98),esk14_2(X97,X98))
| epred1_2(X98,X97) )
& ( apply(X98,esk17_2(X97,X98),esk18_2(X97,X98))
| apply(X98,esk15_2(X97,X98),esk16_2(X97,X98))
| ~ apply(X98,esk14_2(X97,X98),esk14_2(X97,X98))
| epred1_2(X98,X97) )
& ( apply(X98,esk18_2(X97,X98),esk19_2(X97,X98))
| apply(X98,esk15_2(X97,X98),esk16_2(X97,X98))
| ~ apply(X98,esk14_2(X97,X98),esk14_2(X97,X98))
| epred1_2(X98,X97) )
& ( ~ apply(X98,esk17_2(X97,X98),esk19_2(X97,X98))
| apply(X98,esk15_2(X97,X98),esk16_2(X97,X98))
| ~ apply(X98,esk14_2(X97,X98),esk14_2(X97,X98))
| epred1_2(X98,X97) )
& ( member(esk17_2(X97,X98),X97)
| apply(X98,esk16_2(X97,X98),esk15_2(X97,X98))
| ~ apply(X98,esk14_2(X97,X98),esk14_2(X97,X98))
| epred1_2(X98,X97) )
& ( member(esk18_2(X97,X98),X97)
| apply(X98,esk16_2(X97,X98),esk15_2(X97,X98))
| ~ apply(X98,esk14_2(X97,X98),esk14_2(X97,X98))
| epred1_2(X98,X97) )
& ( member(esk19_2(X97,X98),X97)
| apply(X98,esk16_2(X97,X98),esk15_2(X97,X98))
| ~ apply(X98,esk14_2(X97,X98),esk14_2(X97,X98))
| epred1_2(X98,X97) )
& ( apply(X98,esk17_2(X97,X98),esk18_2(X97,X98))
| apply(X98,esk16_2(X97,X98),esk15_2(X97,X98))
| ~ apply(X98,esk14_2(X97,X98),esk14_2(X97,X98))
| epred1_2(X98,X97) )
& ( apply(X98,esk18_2(X97,X98),esk19_2(X97,X98))
| apply(X98,esk16_2(X97,X98),esk15_2(X97,X98))
| ~ apply(X98,esk14_2(X97,X98),esk14_2(X97,X98))
| epred1_2(X98,X97) )
& ( ~ apply(X98,esk17_2(X97,X98),esk19_2(X97,X98))
| apply(X98,esk16_2(X97,X98),esk15_2(X97,X98))
| ~ apply(X98,esk14_2(X97,X98),esk14_2(X97,X98))
| epred1_2(X98,X97) )
& ( member(esk17_2(X97,X98),X97)
| esk15_2(X97,X98) != esk16_2(X97,X98)
| ~ apply(X98,esk14_2(X97,X98),esk14_2(X97,X98))
| epred1_2(X98,X97) )
& ( member(esk18_2(X97,X98),X97)
| esk15_2(X97,X98) != esk16_2(X97,X98)
| ~ apply(X98,esk14_2(X97,X98),esk14_2(X97,X98))
| epred1_2(X98,X97) )
& ( member(esk19_2(X97,X98),X97)
| esk15_2(X97,X98) != esk16_2(X97,X98)
| ~ apply(X98,esk14_2(X97,X98),esk14_2(X97,X98))
| epred1_2(X98,X97) )
& ( apply(X98,esk17_2(X97,X98),esk18_2(X97,X98))
| esk15_2(X97,X98) != esk16_2(X97,X98)
| ~ apply(X98,esk14_2(X97,X98),esk14_2(X97,X98))
| epred1_2(X98,X97) )
& ( apply(X98,esk18_2(X97,X98),esk19_2(X97,X98))
| esk15_2(X97,X98) != esk16_2(X97,X98)
| ~ apply(X98,esk14_2(X97,X98),esk14_2(X97,X98))
| epred1_2(X98,X97) )
& ( ~ apply(X98,esk17_2(X97,X98),esk19_2(X97,X98))
| esk15_2(X97,X98) != esk16_2(X97,X98)
| ~ apply(X98,esk14_2(X97,X98),esk14_2(X97,X98))
| epred1_2(X98,X97) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])])]) ).
cnf(c_0_9,plain,
( apply(X3,X1,X4)
| ~ member(X1,X2)
| ~ greatest(X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
greatest(esk13_0,esk11_0,esk12_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( X1 = X3
| ~ member(X1,X2)
| ~ member(X3,X2)
| ~ apply(X4,X1,X3)
| ~ apply(X4,X3,X1)
| ~ epred1_2(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,negated_conjecture,
( apply(esk11_0,X1,esk13_0)
| ~ member(X1,esk12_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
fof(c_0_13,plain,
! [X50,X51,X52,X53,X54,X55,X56] :
( ( member(X52,X51)
| ~ max(X52,X50,X51) )
& ( ~ member(X53,X51)
| ~ apply(X50,X52,X53)
| X52 = X53
| ~ max(X52,X50,X51) )
& ( member(esk7_3(X54,X55,X56),X55)
| ~ member(X56,X55)
| max(X56,X54,X55) )
& ( apply(X54,X56,esk7_3(X54,X55,X56))
| ~ member(X56,X55)
| max(X56,X54,X55) )
& ( X56 != esk7_3(X54,X55,X56)
| ~ member(X56,X55)
| max(X56,X54,X55) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[max])])])])])]) ).
fof(c_0_14,axiom,
! [X1,X2] :
( order(X1,X2)
<=> epred1_2(X1,X2) ),
inference(apply_def,[status(thm)],[order,c_0_5]) ).
cnf(c_0_15,negated_conjecture,
( esk13_0 = X1
| ~ epred1_2(esk11_0,X2)
| ~ apply(esk11_0,esk13_0,X1)
| ~ member(esk13_0,X2)
| ~ member(X1,esk12_0)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,plain,
( apply(X1,X2,esk7_3(X1,X3,X2))
| max(X2,X1,X3)
| ~ member(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_17,plain,
( max(X1,X2,X3)
| X1 != esk7_3(X2,X3,X1)
| ~ member(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,plain,
( member(X1,X2)
| ~ greatest(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_19,plain,
! [X8,X9] :
( ( ~ order(X8,X9)
| epred1_2(X8,X9) )
& ( ~ epred1_2(X8,X9)
| order(X8,X9) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])]) ).
cnf(c_0_20,negated_conjecture,
( max(esk13_0,esk11_0,X1)
| ~ epred1_2(esk11_0,X2)
| ~ member(esk7_3(esk11_0,X1,esk13_0),esk12_0)
| ~ member(esk7_3(esk11_0,X1,esk13_0),X2)
| ~ member(esk13_0,X2)
| ~ member(esk13_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]) ).
cnf(c_0_21,plain,
( member(esk7_3(X1,X2,X3),X2)
| max(X3,X1,X2)
| ~ member(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_22,negated_conjecture,
member(esk13_0,esk12_0),
inference(spm,[status(thm)],[c_0_18,c_0_10]) ).
cnf(c_0_23,negated_conjecture,
~ max(esk13_0,esk11_0,esk12_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_24,plain,
( epred1_2(X1,X2)
| ~ order(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_25,negated_conjecture,
order(esk11_0,esk12_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_26,negated_conjecture,
( ~ epred1_2(esk11_0,X1)
| ~ member(esk7_3(esk11_0,esk12_0,esk13_0),X1)
| ~ member(esk13_0,X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]),c_0_23]) ).
cnf(c_0_27,negated_conjecture,
epred1_2(esk11_0,esk12_0),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_21]),c_0_27]),c_0_22])]),c_0_23]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET791+4 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n004.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 12:04:38 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.55 start to proof: theBenchmark
% 0.20/0.57 % Version : CSE_E---1.5
% 0.20/0.57 % Problem : theBenchmark.p
% 0.20/0.57 % Proof found
% 0.20/0.57 % SZS status Theorem for theBenchmark.p
% 0.20/0.57 % SZS output start Proof
% See solution above
% 0.20/0.58 % Total time : 0.015000 s
% 0.20/0.58 % SZS output end Proof
% 0.20/0.58 % Total time : 0.018000 s
%------------------------------------------------------------------------------