TSTP Solution File: LCL656+1.005 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LCL656+1.005 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n024.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 06:57:25 EDT 2023
% Result : Theorem 0.21s 0.61s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 29
% Syntax : Number of formulae : 63 ( 9 unt; 26 typ; 0 def)
% Number of atoms : 734 ( 0 equ)
% Maximal formula atoms : 250 ( 19 avg)
% Number of connectives : 1270 ( 573 ~; 475 |; 220 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 74 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 26 ( 25 >; 1 *; 0 +; 0 <<)
% Number of predicates : 16 ( 15 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 1 con; 0-1 aty)
% Number of variables : 156 ( 0 sgn; 113 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
r1: ( $i * $i ) > $o ).
tff(decl_23,type,
p3: $i > $o ).
tff(decl_24,type,
p6: $i > $o ).
tff(decl_25,type,
p106: $i > $o ).
tff(decl_26,type,
p105: $i > $o ).
tff(decl_27,type,
p104: $i > $o ).
tff(decl_28,type,
p5: $i > $o ).
tff(decl_29,type,
p103: $i > $o ).
tff(decl_30,type,
p4: $i > $o ).
tff(decl_31,type,
p102: $i > $o ).
tff(decl_32,type,
p101: $i > $o ).
tff(decl_33,type,
p2: $i > $o ).
tff(decl_34,type,
p100: $i > $o ).
tff(decl_35,type,
p1: $i > $o ).
tff(decl_36,type,
epred1_1: $i > $o ).
tff(decl_37,type,
esk1_0: $i ).
tff(decl_38,type,
esk2_1: $i > $i ).
tff(decl_39,type,
esk3_1: $i > $i ).
tff(decl_40,type,
esk4_1: $i > $i ).
tff(decl_41,type,
esk5_1: $i > $i ).
tff(decl_42,type,
esk6_1: $i > $i ).
tff(decl_43,type,
esk7_1: $i > $i ).
tff(decl_44,type,
esk8_1: $i > $i ).
tff(decl_45,type,
esk9_1: $i > $i ).
tff(decl_46,type,
esk10_1: $i > $i ).
tff(decl_47,type,
esk11_1: $i > $i ).
fof(main,conjecture,
~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p3(X2) ) ) ) ) )
| ~ ( ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ( ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p6(X1)
& ~ p106(X1)
& p105(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p6(X1)
& ~ p106(X1)
& p105(X1) ) ) )
| ~ ( ~ p105(X2)
& p104(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p5(X1)
& ~ p105(X1)
& p104(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p5(X1)
& ~ p105(X1)
& p104(X1) ) ) )
| ~ ( ~ p104(X2)
& p103(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p4(X1)
& ~ p104(X1)
& p103(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p4(X1)
& ~ p104(X1)
& p103(X1) ) ) )
| ~ ( ~ p103(X2)
& p102(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p3(X1)
& ~ p103(X1)
& p102(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p3(X1)
& ~ p103(X1)
& p102(X1) ) ) )
| ~ ( ~ p102(X2)
& p101(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p2(X1)
& ~ p102(X1)
& p101(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p2(X1)
& ~ p102(X1)
& p101(X1) ) ) )
| ~ ( ~ p101(X2)
& p100(X2) ) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p6(X1)
| ~ p105(X1) )
| p6(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p6(X1)
| ~ p105(X1) )
| ~ p6(X2) ) )
| ~ p105(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p5(X1)
| ~ p104(X1) )
| p5(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p5(X1)
| ~ p104(X1) )
| ~ p5(X2) ) )
| ~ p104(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p4(X1)
| ~ p103(X1) )
| p4(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p4(X1)
| ~ p103(X1) )
| ~ p4(X2) ) )
| ~ p103(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p3(X1)
| ~ p102(X1) )
| p3(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p3(X1)
| ~ p102(X1) )
| ~ p3(X2) ) )
| ~ p102(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p2(X1)
| ~ p101(X1) )
| p2(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p2(X1)
| ~ p101(X1) )
| ~ p2(X2) ) )
| ~ p101(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1)
| ~ p100(X1) )
| p1(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p1(X1)
| ~ p100(X1) )
| ~ p1(X2) ) )
| ~ p100(X2) )
& ( p105(X2)
| ~ p106(X2) )
& ( p104(X2)
| ~ p105(X2) )
& ( p103(X2)
| ~ p104(X2) )
& ( p102(X2)
| ~ p103(X2) )
& ( p101(X2)
| ~ p102(X2) )
& ( p100(X2)
| ~ p101(X2) ) ) ) ) ) ) )
& ~ p101(X1)
& p100(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(reflexivity,axiom,
! [X1] : r1(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
fof(c_0_2,plain,
! [X2] :
( epred1_1(X2)
<=> ( ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p6(X1)
& ~ p106(X1)
& p105(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p6(X1)
& ~ p106(X1)
& p105(X1) ) ) )
| ~ ( ~ p105(X2)
& p104(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p5(X1)
& ~ p105(X1)
& p104(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p5(X1)
& ~ p105(X1)
& p104(X1) ) ) )
| ~ ( ~ p104(X2)
& p103(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p4(X1)
& ~ p104(X1)
& p103(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p4(X1)
& ~ p104(X1)
& p103(X1) ) ) )
| ~ ( ~ p103(X2)
& p102(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p3(X1)
& ~ p103(X1)
& p102(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p3(X1)
& ~ p103(X1)
& p102(X1) ) ) )
| ~ ( ~ p102(X2)
& p101(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p2(X1)
& ~ p102(X1)
& p101(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p2(X1)
& ~ p102(X1)
& p101(X1) ) ) )
| ~ ( ~ p101(X2)
& p100(X2) ) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p6(X1)
| ~ p105(X1) )
| p6(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p6(X1)
| ~ p105(X1) )
| ~ p6(X2) ) )
| ~ p105(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p5(X1)
| ~ p104(X1) )
| p5(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p5(X1)
| ~ p104(X1) )
| ~ p5(X2) ) )
| ~ p104(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p4(X1)
| ~ p103(X1) )
| p4(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p4(X1)
| ~ p103(X1) )
| ~ p4(X2) ) )
| ~ p103(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p3(X1)
| ~ p102(X1) )
| p3(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p3(X1)
| ~ p102(X1) )
| ~ p3(X2) ) )
| ~ p102(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p2(X1)
| ~ p101(X1) )
| p2(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p2(X1)
| ~ p101(X1) )
| ~ p2(X2) ) )
| ~ p101(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1)
| ~ p100(X1) )
| p1(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p1(X1)
| ~ p100(X1) )
| ~ p1(X2) ) )
| ~ p100(X2) )
& ( p105(X2)
| ~ p106(X2) )
& ( p104(X2)
| ~ p105(X2) )
& ( p103(X2)
| ~ p104(X2) )
& ( p102(X2)
| ~ p103(X2) )
& ( p101(X2)
| ~ p102(X2) )
& ( p100(X2)
| ~ p101(X2) ) ) ),
introduced(definition) ).
fof(c_0_3,negated_conjecture,
~ ~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p3(X2) ) ) ) ) )
| ~ ( ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| epred1_1(X2) ) ) ) ) )
& ~ p101(X1)
& p100(X1) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[main])]),c_0_2]) ).
fof(c_0_4,negated_conjecture,
! [X5,X6,X7,X8,X9,X10,X11,X12,X13,X14] :
( ( ~ r1(esk1_0,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X8)
| ~ r1(X8,X9)
| p3(X9) )
& ( ~ r1(esk1_0,X10)
| ~ r1(X10,X11)
| ~ r1(X11,X12)
| ~ r1(X12,X13)
| ~ r1(X13,X14)
| epred1_1(X14) )
& ~ p101(esk1_0)
& p100(esk1_0) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).
fof(c_0_5,plain,
! [X3] : r1(X3,X3),
inference(variable_rename,[status(thm)],[reflexivity]) ).
cnf(c_0_6,negated_conjecture,
( epred1_1(X5)
| ~ r1(esk1_0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
r1(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X2,X4) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
fof(c_0_9,plain,
! [X2] :
( epred1_1(X2)
=> ( ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p6(X1)
& ~ p106(X1)
& p105(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p6(X1)
& ~ p106(X1)
& p105(X1) ) ) )
| ~ ( ~ p105(X2)
& p104(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p5(X1)
& ~ p105(X1)
& p104(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p5(X1)
& ~ p105(X1)
& p104(X1) ) ) )
| ~ ( ~ p104(X2)
& p103(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p4(X1)
& ~ p104(X1)
& p103(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p4(X1)
& ~ p104(X1)
& p103(X1) ) ) )
| ~ ( ~ p103(X2)
& p102(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p3(X1)
& ~ p103(X1)
& p102(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p3(X1)
& ~ p103(X1)
& p102(X1) ) ) )
| ~ ( ~ p102(X2)
& p101(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p2(X1)
& ~ p102(X1)
& p101(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p2(X1)
& ~ p102(X1)
& p101(X1) ) ) )
| ~ ( ~ p101(X2)
& p100(X2) ) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p6(X1)
| ~ p105(X1) )
| p6(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p6(X1)
| ~ p105(X1) )
| ~ p6(X2) ) )
| ~ p105(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p5(X1)
| ~ p104(X1) )
| p5(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p5(X1)
| ~ p104(X1) )
| ~ p5(X2) ) )
| ~ p104(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p4(X1)
| ~ p103(X1) )
| p4(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p4(X1)
| ~ p103(X1) )
| ~ p4(X2) ) )
| ~ p103(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p3(X1)
| ~ p102(X1) )
| p3(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p3(X1)
| ~ p102(X1) )
| ~ p3(X2) ) )
| ~ p102(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p2(X1)
| ~ p101(X1) )
| p2(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p2(X1)
| ~ p101(X1) )
| ~ p2(X2) ) )
| ~ p101(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1)
| ~ p100(X1) )
| p1(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p1(X1)
| ~ p100(X1) )
| ~ p1(X2) ) )
| ~ p100(X2) )
& ( p105(X2)
| ~ p106(X2) )
& ( p104(X2)
| ~ p105(X2) )
& ( p103(X2)
| ~ p104(X2) )
& ( p102(X2)
| ~ p103(X2) )
& ( p101(X2)
| ~ p102(X2) )
& ( p100(X2)
| ~ p101(X2) ) ) ),
inference(split_equiv,[status(thm)],[c_0_2]) ).
cnf(c_0_10,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X2,X3) ),
inference(spm,[status(thm)],[c_0_8,c_0_7]) ).
cnf(c_0_11,negated_conjecture,
( p3(X5)
| ~ r1(esk1_0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_12,plain,
! [X15,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37] :
( ( r1(X15,esk2_1(X15))
| p105(X15)
| ~ p104(X15)
| ~ epred1_1(X15) )
& ( ~ p6(esk2_1(X15))
| p105(X15)
| ~ p104(X15)
| ~ epred1_1(X15) )
& ( ~ p106(esk2_1(X15))
| p105(X15)
| ~ p104(X15)
| ~ epred1_1(X15) )
& ( p105(esk2_1(X15))
| p105(X15)
| ~ p104(X15)
| ~ epred1_1(X15) )
& ( r1(X15,esk3_1(X15))
| p105(X15)
| ~ p104(X15)
| ~ epred1_1(X15) )
& ( p6(esk3_1(X15))
| p105(X15)
| ~ p104(X15)
| ~ epred1_1(X15) )
& ( ~ p106(esk3_1(X15))
| p105(X15)
| ~ p104(X15)
| ~ epred1_1(X15) )
& ( p105(esk3_1(X15))
| p105(X15)
| ~ p104(X15)
| ~ epred1_1(X15) )
& ( r1(X15,esk4_1(X15))
| p104(X15)
| ~ p103(X15)
| ~ epred1_1(X15) )
& ( ~ p5(esk4_1(X15))
| p104(X15)
| ~ p103(X15)
| ~ epred1_1(X15) )
& ( ~ p105(esk4_1(X15))
| p104(X15)
| ~ p103(X15)
| ~ epred1_1(X15) )
& ( p104(esk4_1(X15))
| p104(X15)
| ~ p103(X15)
| ~ epred1_1(X15) )
& ( r1(X15,esk5_1(X15))
| p104(X15)
| ~ p103(X15)
| ~ epred1_1(X15) )
& ( p5(esk5_1(X15))
| p104(X15)
| ~ p103(X15)
| ~ epred1_1(X15) )
& ( ~ p105(esk5_1(X15))
| p104(X15)
| ~ p103(X15)
| ~ epred1_1(X15) )
& ( p104(esk5_1(X15))
| p104(X15)
| ~ p103(X15)
| ~ epred1_1(X15) )
& ( r1(X15,esk6_1(X15))
| p103(X15)
| ~ p102(X15)
| ~ epred1_1(X15) )
& ( ~ p4(esk6_1(X15))
| p103(X15)
| ~ p102(X15)
| ~ epred1_1(X15) )
& ( ~ p104(esk6_1(X15))
| p103(X15)
| ~ p102(X15)
| ~ epred1_1(X15) )
& ( p103(esk6_1(X15))
| p103(X15)
| ~ p102(X15)
| ~ epred1_1(X15) )
& ( r1(X15,esk7_1(X15))
| p103(X15)
| ~ p102(X15)
| ~ epred1_1(X15) )
& ( p4(esk7_1(X15))
| p103(X15)
| ~ p102(X15)
| ~ epred1_1(X15) )
& ( ~ p104(esk7_1(X15))
| p103(X15)
| ~ p102(X15)
| ~ epred1_1(X15) )
& ( p103(esk7_1(X15))
| p103(X15)
| ~ p102(X15)
| ~ epred1_1(X15) )
& ( r1(X15,esk8_1(X15))
| p102(X15)
| ~ p101(X15)
| ~ epred1_1(X15) )
& ( ~ p3(esk8_1(X15))
| p102(X15)
| ~ p101(X15)
| ~ epred1_1(X15) )
& ( ~ p103(esk8_1(X15))
| p102(X15)
| ~ p101(X15)
| ~ epred1_1(X15) )
& ( p102(esk8_1(X15))
| p102(X15)
| ~ p101(X15)
| ~ epred1_1(X15) )
& ( r1(X15,esk9_1(X15))
| p102(X15)
| ~ p101(X15)
| ~ epred1_1(X15) )
& ( p3(esk9_1(X15))
| p102(X15)
| ~ p101(X15)
| ~ epred1_1(X15) )
& ( ~ p103(esk9_1(X15))
| p102(X15)
| ~ p101(X15)
| ~ epred1_1(X15) )
& ( p102(esk9_1(X15))
| p102(X15)
| ~ p101(X15)
| ~ epred1_1(X15) )
& ( r1(X15,esk10_1(X15))
| p101(X15)
| ~ p100(X15)
| ~ epred1_1(X15) )
& ( ~ p2(esk10_1(X15))
| p101(X15)
| ~ p100(X15)
| ~ epred1_1(X15) )
& ( ~ p102(esk10_1(X15))
| p101(X15)
| ~ p100(X15)
| ~ epred1_1(X15) )
& ( p101(esk10_1(X15))
| p101(X15)
| ~ p100(X15)
| ~ epred1_1(X15) )
& ( r1(X15,esk11_1(X15))
| p101(X15)
| ~ p100(X15)
| ~ epred1_1(X15) )
& ( p2(esk11_1(X15))
| p101(X15)
| ~ p100(X15)
| ~ epred1_1(X15) )
& ( ~ p102(esk11_1(X15))
| p101(X15)
| ~ p100(X15)
| ~ epred1_1(X15) )
& ( p101(esk11_1(X15))
| p101(X15)
| ~ p100(X15)
| ~ epred1_1(X15) )
& ( ~ r1(X15,X26)
| ~ p6(X26)
| ~ p105(X26)
| p6(X15)
| ~ p105(X15)
| ~ epred1_1(X15) )
& ( ~ r1(X15,X27)
| p6(X27)
| ~ p105(X27)
| ~ p6(X15)
| ~ p105(X15)
| ~ epred1_1(X15) )
& ( ~ r1(X15,X28)
| ~ p5(X28)
| ~ p104(X28)
| p5(X15)
| ~ p104(X15)
| ~ epred1_1(X15) )
& ( ~ r1(X15,X29)
| p5(X29)
| ~ p104(X29)
| ~ p5(X15)
| ~ p104(X15)
| ~ epred1_1(X15) )
& ( ~ r1(X15,X30)
| ~ p4(X30)
| ~ p103(X30)
| p4(X15)
| ~ p103(X15)
| ~ epred1_1(X15) )
& ( ~ r1(X15,X31)
| p4(X31)
| ~ p103(X31)
| ~ p4(X15)
| ~ p103(X15)
| ~ epred1_1(X15) )
& ( ~ r1(X15,X32)
| ~ p3(X32)
| ~ p102(X32)
| p3(X15)
| ~ p102(X15)
| ~ epred1_1(X15) )
& ( ~ r1(X15,X33)
| p3(X33)
| ~ p102(X33)
| ~ p3(X15)
| ~ p102(X15)
| ~ epred1_1(X15) )
& ( ~ r1(X15,X34)
| ~ p2(X34)
| ~ p101(X34)
| p2(X15)
| ~ p101(X15)
| ~ epred1_1(X15) )
& ( ~ r1(X15,X35)
| p2(X35)
| ~ p101(X35)
| ~ p2(X15)
| ~ p101(X15)
| ~ epred1_1(X15) )
& ( ~ r1(X15,X36)
| ~ p1(X36)
| ~ p100(X36)
| p1(X15)
| ~ p100(X15)
| ~ epred1_1(X15) )
& ( ~ r1(X15,X37)
| p1(X37)
| ~ p100(X37)
| ~ p1(X15)
| ~ p100(X15)
| ~ epred1_1(X15) )
& ( p105(X15)
| ~ p106(X15)
| ~ epred1_1(X15) )
& ( p104(X15)
| ~ p105(X15)
| ~ epred1_1(X15) )
& ( p103(X15)
| ~ p104(X15)
| ~ epred1_1(X15) )
& ( p102(X15)
| ~ p103(X15)
| ~ epred1_1(X15) )
& ( p101(X15)
| ~ p102(X15)
| ~ epred1_1(X15) )
& ( p100(X15)
| ~ p101(X15)
| ~ epred1_1(X15) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])])]) ).
cnf(c_0_13,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_7]) ).
cnf(c_0_14,negated_conjecture,
( p3(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X2,X4) ),
inference(spm,[status(thm)],[c_0_11,c_0_7]) ).
cnf(c_0_15,plain,
( r1(X1,esk11_1(X1))
| p101(X1)
| ~ p100(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_7]) ).
cnf(c_0_17,plain,
( p101(esk11_1(X1))
| p101(X1)
| ~ p100(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,negated_conjecture,
( p3(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X2,X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_7]) ).
cnf(c_0_19,plain,
( p101(X1)
| r1(X1,esk11_1(X1))
| ~ p100(X1)
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,negated_conjecture,
p100(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_21,negated_conjecture,
~ p101(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_22,plain,
( r1(X1,esk8_1(X1))
| p102(X1)
| ~ p101(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_23,plain,
( p101(esk11_1(X1))
| p101(X1)
| ~ p100(X1)
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_16]) ).
cnf(c_0_24,negated_conjecture,
( p3(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_7]) ).
cnf(c_0_25,plain,
r1(esk1_0,esk11_1(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_7]),c_0_20])]),c_0_21]) ).
cnf(c_0_26,plain,
( p102(X1)
| r1(X1,esk8_1(X1))
| ~ p101(X1)
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_16]) ).
cnf(c_0_27,plain,
p101(esk11_1(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_7]),c_0_20])]),c_0_21]) ).
cnf(c_0_28,plain,
( p102(X1)
| ~ p3(esk8_1(X1))
| ~ p101(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_29,negated_conjecture,
( p3(X1)
| ~ r1(esk11_1(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_30,plain,
( p102(esk11_1(esk1_0))
| r1(esk11_1(esk1_0),esk8_1(esk11_1(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_25]),c_0_27])]) ).
cnf(c_0_31,plain,
( p101(X1)
| ~ p102(esk11_1(X1))
| ~ p100(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_32,plain,
( p102(X1)
| ~ p101(X1)
| ~ p3(esk8_1(X1))
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_16]) ).
cnf(c_0_33,negated_conjecture,
( p102(esk11_1(esk1_0))
| p3(esk8_1(esk11_1(esk1_0))) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_34,plain,
( p101(X1)
| ~ p100(X1)
| ~ p102(esk11_1(X1))
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_16]) ).
cnf(c_0_35,plain,
p102(esk11_1(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_27]),c_0_25])]) ).
cnf(c_0_36,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_20]),c_0_7])]),c_0_21]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL656+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34 % Computer : n024.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Aug 25 06:35:39 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.57 start to proof: theBenchmark
% 0.21/0.61 % Version : CSE_E---1.5
% 0.21/0.61 % Problem : theBenchmark.p
% 0.21/0.61 % Proof found
% 0.21/0.61 % SZS status Theorem for theBenchmark.p
% 0.21/0.61 % SZS output start Proof
% See solution above
% 0.21/0.61 % Total time : 0.028000 s
% 0.21/0.61 % SZS output end Proof
% 0.21/0.61 % Total time : 0.032000 s
%------------------------------------------------------------------------------