TSTP Solution File: COM022+4 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : COM022+4 : 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 : n018.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 : Wed Aug 30 18:36:21 EDT 2023
% Result : Theorem 0.20s 0.73s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 50
% Syntax : Number of formulae : 75 ( 9 unt; 47 typ; 0 def)
% Number of atoms : 587 ( 85 equ)
% Maximal formula atoms : 158 ( 20 avg)
% Number of connectives : 750 ( 191 ~; 298 |; 253 &)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 53 ( 10 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 61 ( 29 >; 32 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 2 prp; 0-3 aty)
% Number of functors : 36 ( 36 usr; 17 con; 0-4 aty)
% Number of variables : 59 ( 0 sgn; 6 !; 50 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
aElement0: $i > $o ).
tff(decl_23,type,
aRewritingSystem0: $i > $o ).
tff(decl_24,type,
aReductOfIn0: ( $i * $i * $i ) > $o ).
tff(decl_25,type,
iLess0: ( $i * $i ) > $o ).
tff(decl_26,type,
sdtmndtplgtdt0: ( $i * $i * $i ) > $o ).
tff(decl_27,type,
sdtmndtasgtdt0: ( $i * $i * $i ) > $o ).
tff(decl_28,type,
isConfluent0: $i > $o ).
tff(decl_29,type,
isLocallyConfluent0: $i > $o ).
tff(decl_30,type,
isTerminating0: $i > $o ).
tff(decl_31,type,
aNormalFormOfIn0: ( $i * $i * $i ) > $o ).
tff(decl_32,type,
xR: $i ).
tff(decl_33,type,
xa: $i ).
tff(decl_34,type,
xb: $i ).
tff(decl_35,type,
xc: $i ).
tff(decl_36,type,
epred1_0: $o ).
tff(decl_37,type,
esk1_3: ( $i * $i * $i ) > $i ).
tff(decl_38,type,
esk2_4: ( $i * $i * $i * $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_4: ( $i * $i * $i * $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 ).
tff(decl_48,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_49,type,
esk13_2: ( $i * $i ) > $i ).
tff(decl_50,type,
esk14_3: ( $i * $i * $i ) > $i ).
tff(decl_51,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_52,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_53,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_54,type,
esk18_3: ( $i * $i * $i ) > $i ).
tff(decl_55,type,
esk19_3: ( $i * $i * $i ) > $i ).
tff(decl_56,type,
esk20_0: $i ).
tff(decl_57,type,
esk21_0: $i ).
tff(decl_58,type,
esk22_0: $i ).
tff(decl_59,type,
esk23_0: $i ).
tff(decl_60,type,
esk24_0: $i ).
tff(decl_61,type,
esk25_0: $i ).
tff(decl_62,type,
esk26_0: $i ).
tff(decl_63,type,
esk27_0: $i ).
tff(decl_64,type,
esk28_0: $i ).
tff(decl_65,type,
esk29_0: $i ).
tff(decl_66,type,
esk30_0: $i ).
tff(decl_67,type,
esk31_0: $i ).
tff(decl_68,type,
esk32_0: $i ).
fof(m__,conjecture,
( ( ( ( aReductOfIn0(xb,xa,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xa,xR)
& sdtmndtplgtdt0(X1,xR,xb) )
| sdtmndtplgtdt0(xa,xR,xb) )
& ( aReductOfIn0(xc,xa,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xa,xR)
& sdtmndtplgtdt0(X1,xR,xc) )
| sdtmndtplgtdt0(xa,xR,xc) ) )
=> ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xa,xR)
& ( X1 = xb
| ( ( aReductOfIn0(xb,X1,xR)
| ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,X1,xR)
& sdtmndtplgtdt0(X2,xR,xb) ) )
& sdtmndtplgtdt0(X1,xR,xb) ) )
& sdtmndtasgtdt0(X1,xR,xb)
& ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,xa,xR)
& ( X2 = xc
| ( ( aReductOfIn0(xc,X2,xR)
| ? [X3] :
( aElement0(X3)
& aReductOfIn0(X3,X2,xR)
& sdtmndtplgtdt0(X3,xR,xc) ) )
& sdtmndtplgtdt0(X2,xR,xc) ) )
& sdtmndtasgtdt0(X2,xR,xc)
& ? [X3] :
( aElement0(X3)
& ( X1 = X3
| ( ( aReductOfIn0(X3,X1,xR)
| ? [X4] :
( aElement0(X4)
& aReductOfIn0(X4,X1,xR)
& sdtmndtplgtdt0(X4,xR,X3) ) )
& sdtmndtplgtdt0(X1,xR,X3) ) )
& sdtmndtasgtdt0(X1,xR,X3)
& ( X2 = X3
| ( ( aReductOfIn0(X3,X2,xR)
| ? [X4] :
( aElement0(X4)
& aReductOfIn0(X4,X2,xR)
& sdtmndtplgtdt0(X4,xR,X3) ) )
& sdtmndtplgtdt0(X2,xR,X3) ) )
& sdtmndtasgtdt0(X2,xR,X3)
& ? [X4] :
( aElement0(X4)
& ( X3 = X4
| ( ( aReductOfIn0(X4,X3,xR)
| ? [X5] :
( aElement0(X5)
& aReductOfIn0(X5,X3,xR)
& sdtmndtplgtdt0(X5,xR,X4) ) )
& sdtmndtplgtdt0(X3,xR,X4) ) )
& sdtmndtasgtdt0(X3,xR,X4)
& ~ ? [X5] : aReductOfIn0(X5,X4,xR)
& aNormalFormOfIn0(X4,X3,xR)
& ( xb = X4
| ( ( aReductOfIn0(X4,xb,xR)
| ? [X5] :
( aElement0(X5)
& aReductOfIn0(X5,xb,xR)
& sdtmndtplgtdt0(X5,xR,X4) ) )
& sdtmndtplgtdt0(xb,xR,X4) ) )
& sdtmndtasgtdt0(xb,xR,X4)
& ( xc = X4
| ( ( aReductOfIn0(X4,xc,xR)
| ? [X5] :
( aElement0(X5)
& aReductOfIn0(X5,xc,xR)
& sdtmndtplgtdt0(X5,xR,X4) ) )
& sdtmndtplgtdt0(xc,xR,X4) ) )
& sdtmndtasgtdt0(xc,xR,X4) ) ) ) ) )
=> ( ( ( xa = xb
| ( ( aReductOfIn0(xb,xa,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xa,xR)
& sdtmndtplgtdt0(X1,xR,xb) ) )
& sdtmndtplgtdt0(xa,xR,xb) ) )
& sdtmndtasgtdt0(xa,xR,xb)
& ( xa = xc
| ( ( aReductOfIn0(xc,xa,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xa,xR)
& sdtmndtplgtdt0(X1,xR,xc) ) )
& sdtmndtplgtdt0(xa,xR,xc) ) )
& sdtmndtasgtdt0(xa,xR,xc) )
=> ? [X1] :
( aElement0(X1)
& ( xb = X1
| aReductOfIn0(X1,xb,xR)
| ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,xb,xR)
& sdtmndtplgtdt0(X2,xR,X1) )
| sdtmndtplgtdt0(xb,xR,X1)
| sdtmndtasgtdt0(xb,xR,X1) )
& ( xc = X1
| aReductOfIn0(X1,xc,xR)
| ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,xc,xR)
& sdtmndtplgtdt0(X2,xR,X1) )
| sdtmndtplgtdt0(xc,xR,X1)
| sdtmndtasgtdt0(xc,xR,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m__731,hypothesis,
( aElement0(xa)
& aElement0(xb)
& aElement0(xc) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__731) ).
fof(c_0_2,plain,
( epred1_0
<=> ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xa,xR)
& ( X1 = xb
| ( ( aReductOfIn0(xb,X1,xR)
| ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,X1,xR)
& sdtmndtplgtdt0(X2,xR,xb) ) )
& sdtmndtplgtdt0(X1,xR,xb) ) )
& sdtmndtasgtdt0(X1,xR,xb)
& ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,xa,xR)
& ( X2 = xc
| ( ( aReductOfIn0(xc,X2,xR)
| ? [X3] :
( aElement0(X3)
& aReductOfIn0(X3,X2,xR)
& sdtmndtplgtdt0(X3,xR,xc) ) )
& sdtmndtplgtdt0(X2,xR,xc) ) )
& sdtmndtasgtdt0(X2,xR,xc)
& ? [X3] :
( aElement0(X3)
& ( X1 = X3
| ( ( aReductOfIn0(X3,X1,xR)
| ? [X4] :
( aElement0(X4)
& aReductOfIn0(X4,X1,xR)
& sdtmndtplgtdt0(X4,xR,X3) ) )
& sdtmndtplgtdt0(X1,xR,X3) ) )
& sdtmndtasgtdt0(X1,xR,X3)
& ( X2 = X3
| ( ( aReductOfIn0(X3,X2,xR)
| ? [X4] :
( aElement0(X4)
& aReductOfIn0(X4,X2,xR)
& sdtmndtplgtdt0(X4,xR,X3) ) )
& sdtmndtplgtdt0(X2,xR,X3) ) )
& sdtmndtasgtdt0(X2,xR,X3)
& ? [X4] :
( aElement0(X4)
& ( X3 = X4
| ( ( aReductOfIn0(X4,X3,xR)
| ? [X5] :
( aElement0(X5)
& aReductOfIn0(X5,X3,xR)
& sdtmndtplgtdt0(X5,xR,X4) ) )
& sdtmndtplgtdt0(X3,xR,X4) ) )
& sdtmndtasgtdt0(X3,xR,X4)
& ~ ? [X5] : aReductOfIn0(X5,X4,xR)
& aNormalFormOfIn0(X4,X3,xR)
& ( xb = X4
| ( ( aReductOfIn0(X4,xb,xR)
| ? [X5] :
( aElement0(X5)
& aReductOfIn0(X5,xb,xR)
& sdtmndtplgtdt0(X5,xR,X4) ) )
& sdtmndtplgtdt0(xb,xR,X4) ) )
& sdtmndtasgtdt0(xb,xR,X4)
& ( xc = X4
| ( ( aReductOfIn0(X4,xc,xR)
| ? [X5] :
( aElement0(X5)
& aReductOfIn0(X5,xc,xR)
& sdtmndtplgtdt0(X5,xR,X4) ) )
& sdtmndtplgtdt0(xc,xR,X4) ) )
& sdtmndtasgtdt0(xc,xR,X4) ) ) ) ) ),
introduced(definition) ).
fof(c_0_3,negated_conjecture,
~ ( ( ( ( aReductOfIn0(xb,xa,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xa,xR)
& sdtmndtplgtdt0(X1,xR,xb) )
| sdtmndtplgtdt0(xa,xR,xb) )
& ( aReductOfIn0(xc,xa,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xa,xR)
& sdtmndtplgtdt0(X1,xR,xc) )
| sdtmndtplgtdt0(xa,xR,xc) ) )
=> epred1_0 )
=> ( ( ( xa = xb
| ( ( aReductOfIn0(xb,xa,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xa,xR)
& sdtmndtplgtdt0(X1,xR,xb) ) )
& sdtmndtplgtdt0(xa,xR,xb) ) )
& sdtmndtasgtdt0(xa,xR,xb)
& ( xa = xc
| ( ( aReductOfIn0(xc,xa,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xa,xR)
& sdtmndtplgtdt0(X1,xR,xc) ) )
& sdtmndtplgtdt0(xa,xR,xc) ) )
& sdtmndtasgtdt0(xa,xR,xc) )
=> ? [X1] :
( aElement0(X1)
& ( xb = X1
| aReductOfIn0(X1,xb,xR)
| ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,xb,xR)
& sdtmndtplgtdt0(X2,xR,X1) )
| sdtmndtplgtdt0(xb,xR,X1)
| sdtmndtasgtdt0(xb,xR,X1) )
& ( xc = X1
| aReductOfIn0(X1,xc,xR)
| ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,xc,xR)
& sdtmndtplgtdt0(X2,xR,X1) )
| sdtmndtplgtdt0(xc,xR,X1)
| sdtmndtasgtdt0(xc,xR,X1) ) ) ) ),
inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[m__]),c_0_2]) ).
fof(c_0_4,negated_conjecture,
! [X74,X75,X78,X79,X80] :
( ( ~ aReductOfIn0(xc,xa,xR)
| ~ aReductOfIn0(xb,xa,xR)
| epred1_0 )
& ( ~ aElement0(X75)
| ~ aReductOfIn0(X75,xa,xR)
| ~ sdtmndtplgtdt0(X75,xR,xc)
| ~ aReductOfIn0(xb,xa,xR)
| epred1_0 )
& ( ~ sdtmndtplgtdt0(xa,xR,xc)
| ~ aReductOfIn0(xb,xa,xR)
| epred1_0 )
& ( ~ aReductOfIn0(xc,xa,xR)
| ~ aElement0(X74)
| ~ aReductOfIn0(X74,xa,xR)
| ~ sdtmndtplgtdt0(X74,xR,xb)
| epred1_0 )
& ( ~ aElement0(X75)
| ~ aReductOfIn0(X75,xa,xR)
| ~ sdtmndtplgtdt0(X75,xR,xc)
| ~ aElement0(X74)
| ~ aReductOfIn0(X74,xa,xR)
| ~ sdtmndtplgtdt0(X74,xR,xb)
| epred1_0 )
& ( ~ sdtmndtplgtdt0(xa,xR,xc)
| ~ aElement0(X74)
| ~ aReductOfIn0(X74,xa,xR)
| ~ sdtmndtplgtdt0(X74,xR,xb)
| epred1_0 )
& ( ~ aReductOfIn0(xc,xa,xR)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| epred1_0 )
& ( ~ aElement0(X75)
| ~ aReductOfIn0(X75,xa,xR)
| ~ sdtmndtplgtdt0(X75,xR,xc)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| epred1_0 )
& ( ~ sdtmndtplgtdt0(xa,xR,xc)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| epred1_0 )
& ( aElement0(esk20_0)
| aReductOfIn0(xb,xa,xR)
| xa = xb )
& ( aReductOfIn0(esk20_0,xa,xR)
| aReductOfIn0(xb,xa,xR)
| xa = xb )
& ( sdtmndtplgtdt0(esk20_0,xR,xb)
| aReductOfIn0(xb,xa,xR)
| xa = xb )
& ( sdtmndtplgtdt0(xa,xR,xb)
| xa = xb )
& sdtmndtasgtdt0(xa,xR,xb)
& ( aElement0(esk21_0)
| aReductOfIn0(xc,xa,xR)
| xa = xc )
& ( aReductOfIn0(esk21_0,xa,xR)
| aReductOfIn0(xc,xa,xR)
| xa = xc )
& ( sdtmndtplgtdt0(esk21_0,xR,xc)
| aReductOfIn0(xc,xa,xR)
| xa = xc )
& ( sdtmndtplgtdt0(xa,xR,xc)
| xa = xc )
& sdtmndtasgtdt0(xa,xR,xc)
& ( xc != X78
| xb != X78
| ~ aElement0(X78) )
& ( ~ aReductOfIn0(X78,xc,xR)
| xb != X78
| ~ aElement0(X78) )
& ( ~ aElement0(X80)
| ~ aReductOfIn0(X80,xc,xR)
| ~ sdtmndtplgtdt0(X80,xR,X78)
| xb != X78
| ~ aElement0(X78) )
& ( ~ sdtmndtplgtdt0(xc,xR,X78)
| xb != X78
| ~ aElement0(X78) )
& ( ~ sdtmndtasgtdt0(xc,xR,X78)
| xb != X78
| ~ aElement0(X78) )
& ( xc != X78
| ~ aReductOfIn0(X78,xb,xR)
| ~ aElement0(X78) )
& ( ~ aReductOfIn0(X78,xc,xR)
| ~ aReductOfIn0(X78,xb,xR)
| ~ aElement0(X78) )
& ( ~ aElement0(X80)
| ~ aReductOfIn0(X80,xc,xR)
| ~ sdtmndtplgtdt0(X80,xR,X78)
| ~ aReductOfIn0(X78,xb,xR)
| ~ aElement0(X78) )
& ( ~ sdtmndtplgtdt0(xc,xR,X78)
| ~ aReductOfIn0(X78,xb,xR)
| ~ aElement0(X78) )
& ( ~ sdtmndtasgtdt0(xc,xR,X78)
| ~ aReductOfIn0(X78,xb,xR)
| ~ aElement0(X78) )
& ( xc != X78
| ~ aElement0(X79)
| ~ aReductOfIn0(X79,xb,xR)
| ~ sdtmndtplgtdt0(X79,xR,X78)
| ~ aElement0(X78) )
& ( ~ aReductOfIn0(X78,xc,xR)
| ~ aElement0(X79)
| ~ aReductOfIn0(X79,xb,xR)
| ~ sdtmndtplgtdt0(X79,xR,X78)
| ~ aElement0(X78) )
& ( ~ aElement0(X80)
| ~ aReductOfIn0(X80,xc,xR)
| ~ sdtmndtplgtdt0(X80,xR,X78)
| ~ aElement0(X79)
| ~ aReductOfIn0(X79,xb,xR)
| ~ sdtmndtplgtdt0(X79,xR,X78)
| ~ aElement0(X78) )
& ( ~ sdtmndtplgtdt0(xc,xR,X78)
| ~ aElement0(X79)
| ~ aReductOfIn0(X79,xb,xR)
| ~ sdtmndtplgtdt0(X79,xR,X78)
| ~ aElement0(X78) )
& ( ~ sdtmndtasgtdt0(xc,xR,X78)
| ~ aElement0(X79)
| ~ aReductOfIn0(X79,xb,xR)
| ~ sdtmndtplgtdt0(X79,xR,X78)
| ~ aElement0(X78) )
& ( xc != X78
| ~ sdtmndtplgtdt0(xb,xR,X78)
| ~ aElement0(X78) )
& ( ~ aReductOfIn0(X78,xc,xR)
| ~ sdtmndtplgtdt0(xb,xR,X78)
| ~ aElement0(X78) )
& ( ~ aElement0(X80)
| ~ aReductOfIn0(X80,xc,xR)
| ~ sdtmndtplgtdt0(X80,xR,X78)
| ~ sdtmndtplgtdt0(xb,xR,X78)
| ~ aElement0(X78) )
& ( ~ sdtmndtplgtdt0(xc,xR,X78)
| ~ sdtmndtplgtdt0(xb,xR,X78)
| ~ aElement0(X78) )
& ( ~ sdtmndtasgtdt0(xc,xR,X78)
| ~ sdtmndtplgtdt0(xb,xR,X78)
| ~ aElement0(X78) )
& ( xc != X78
| ~ sdtmndtasgtdt0(xb,xR,X78)
| ~ aElement0(X78) )
& ( ~ aReductOfIn0(X78,xc,xR)
| ~ sdtmndtasgtdt0(xb,xR,X78)
| ~ aElement0(X78) )
& ( ~ aElement0(X80)
| ~ aReductOfIn0(X80,xc,xR)
| ~ sdtmndtplgtdt0(X80,xR,X78)
| ~ sdtmndtasgtdt0(xb,xR,X78)
| ~ aElement0(X78) )
& ( ~ sdtmndtplgtdt0(xc,xR,X78)
| ~ sdtmndtasgtdt0(xb,xR,X78)
| ~ aElement0(X78) )
& ( ~ sdtmndtasgtdt0(xc,xR,X78)
| ~ sdtmndtasgtdt0(xb,xR,X78)
| ~ aElement0(X78) ) ),
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_3])])])])]) ).
fof(c_0_5,plain,
( epred1_0
=> ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xa,xR)
& ( X1 = xb
| ( ( aReductOfIn0(xb,X1,xR)
| ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,X1,xR)
& sdtmndtplgtdt0(X2,xR,xb) ) )
& sdtmndtplgtdt0(X1,xR,xb) ) )
& sdtmndtasgtdt0(X1,xR,xb)
& ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,xa,xR)
& ( X2 = xc
| ( ( aReductOfIn0(xc,X2,xR)
| ? [X3] :
( aElement0(X3)
& aReductOfIn0(X3,X2,xR)
& sdtmndtplgtdt0(X3,xR,xc) ) )
& sdtmndtplgtdt0(X2,xR,xc) ) )
& sdtmndtasgtdt0(X2,xR,xc)
& ? [X3] :
( aElement0(X3)
& ( X1 = X3
| ( ( aReductOfIn0(X3,X1,xR)
| ? [X4] :
( aElement0(X4)
& aReductOfIn0(X4,X1,xR)
& sdtmndtplgtdt0(X4,xR,X3) ) )
& sdtmndtplgtdt0(X1,xR,X3) ) )
& sdtmndtasgtdt0(X1,xR,X3)
& ( X2 = X3
| ( ( aReductOfIn0(X3,X2,xR)
| ? [X4] :
( aElement0(X4)
& aReductOfIn0(X4,X2,xR)
& sdtmndtplgtdt0(X4,xR,X3) ) )
& sdtmndtplgtdt0(X2,xR,X3) ) )
& sdtmndtasgtdt0(X2,xR,X3)
& ? [X4] :
( aElement0(X4)
& ( X3 = X4
| ( ( aReductOfIn0(X4,X3,xR)
| ? [X5] :
( aElement0(X5)
& aReductOfIn0(X5,X3,xR)
& sdtmndtplgtdt0(X5,xR,X4) ) )
& sdtmndtplgtdt0(X3,xR,X4) ) )
& sdtmndtasgtdt0(X3,xR,X4)
& ~ ? [X5] : aReductOfIn0(X5,X4,xR)
& aNormalFormOfIn0(X4,X3,xR)
& ( xb = X4
| ( ( aReductOfIn0(X4,xb,xR)
| ? [X5] :
( aElement0(X5)
& aReductOfIn0(X5,xb,xR)
& sdtmndtplgtdt0(X5,xR,X4) ) )
& sdtmndtplgtdt0(xb,xR,X4) ) )
& sdtmndtasgtdt0(xb,xR,X4)
& ( xc = X4
| ( ( aReductOfIn0(X4,xc,xR)
| ? [X5] :
( aElement0(X5)
& aReductOfIn0(X5,xc,xR)
& sdtmndtplgtdt0(X5,xR,X4) ) )
& sdtmndtplgtdt0(xc,xR,X4) ) )
& sdtmndtasgtdt0(xc,xR,X4) ) ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_2]) ).
cnf(c_0_6,negated_conjecture,
( epred1_0
| ~ sdtmndtplgtdt0(xa,xR,xc)
| ~ sdtmndtplgtdt0(xa,xR,xb) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
( sdtmndtplgtdt0(xa,xR,xb)
| xa = xb ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_8,plain,
! [X90] :
( ( aElement0(esk22_0)
| ~ epred1_0 )
& ( aReductOfIn0(esk22_0,xa,xR)
| ~ epred1_0 )
& ( aElement0(esk23_0)
| aReductOfIn0(xb,esk22_0,xR)
| esk22_0 = xb
| ~ epred1_0 )
& ( aReductOfIn0(esk23_0,esk22_0,xR)
| aReductOfIn0(xb,esk22_0,xR)
| esk22_0 = xb
| ~ epred1_0 )
& ( sdtmndtplgtdt0(esk23_0,xR,xb)
| aReductOfIn0(xb,esk22_0,xR)
| esk22_0 = xb
| ~ epred1_0 )
& ( sdtmndtplgtdt0(esk22_0,xR,xb)
| esk22_0 = xb
| ~ epred1_0 )
& ( sdtmndtasgtdt0(esk22_0,xR,xb)
| ~ epred1_0 )
& ( aElement0(esk24_0)
| ~ epred1_0 )
& ( aReductOfIn0(esk24_0,xa,xR)
| ~ epred1_0 )
& ( aElement0(esk25_0)
| aReductOfIn0(xc,esk24_0,xR)
| esk24_0 = xc
| ~ epred1_0 )
& ( aReductOfIn0(esk25_0,esk24_0,xR)
| aReductOfIn0(xc,esk24_0,xR)
| esk24_0 = xc
| ~ epred1_0 )
& ( sdtmndtplgtdt0(esk25_0,xR,xc)
| aReductOfIn0(xc,esk24_0,xR)
| esk24_0 = xc
| ~ epred1_0 )
& ( sdtmndtplgtdt0(esk24_0,xR,xc)
| esk24_0 = xc
| ~ epred1_0 )
& ( sdtmndtasgtdt0(esk24_0,xR,xc)
| ~ epred1_0 )
& ( aElement0(esk26_0)
| ~ epred1_0 )
& ( aElement0(esk27_0)
| aReductOfIn0(esk26_0,esk22_0,xR)
| esk22_0 = esk26_0
| ~ epred1_0 )
& ( aReductOfIn0(esk27_0,esk22_0,xR)
| aReductOfIn0(esk26_0,esk22_0,xR)
| esk22_0 = esk26_0
| ~ epred1_0 )
& ( sdtmndtplgtdt0(esk27_0,xR,esk26_0)
| aReductOfIn0(esk26_0,esk22_0,xR)
| esk22_0 = esk26_0
| ~ epred1_0 )
& ( sdtmndtplgtdt0(esk22_0,xR,esk26_0)
| esk22_0 = esk26_0
| ~ epred1_0 )
& ( sdtmndtasgtdt0(esk22_0,xR,esk26_0)
| ~ epred1_0 )
& ( aElement0(esk28_0)
| aReductOfIn0(esk26_0,esk24_0,xR)
| esk24_0 = esk26_0
| ~ epred1_0 )
& ( aReductOfIn0(esk28_0,esk24_0,xR)
| aReductOfIn0(esk26_0,esk24_0,xR)
| esk24_0 = esk26_0
| ~ epred1_0 )
& ( sdtmndtplgtdt0(esk28_0,xR,esk26_0)
| aReductOfIn0(esk26_0,esk24_0,xR)
| esk24_0 = esk26_0
| ~ epred1_0 )
& ( sdtmndtplgtdt0(esk24_0,xR,esk26_0)
| esk24_0 = esk26_0
| ~ epred1_0 )
& ( sdtmndtasgtdt0(esk24_0,xR,esk26_0)
| ~ epred1_0 )
& ( aElement0(esk29_0)
| ~ epred1_0 )
& ( aElement0(esk30_0)
| aReductOfIn0(esk29_0,esk26_0,xR)
| esk26_0 = esk29_0
| ~ epred1_0 )
& ( aReductOfIn0(esk30_0,esk26_0,xR)
| aReductOfIn0(esk29_0,esk26_0,xR)
| esk26_0 = esk29_0
| ~ epred1_0 )
& ( sdtmndtplgtdt0(esk30_0,xR,esk29_0)
| aReductOfIn0(esk29_0,esk26_0,xR)
| esk26_0 = esk29_0
| ~ epred1_0 )
& ( sdtmndtplgtdt0(esk26_0,xR,esk29_0)
| esk26_0 = esk29_0
| ~ epred1_0 )
& ( sdtmndtasgtdt0(esk26_0,xR,esk29_0)
| ~ epred1_0 )
& ( ~ aReductOfIn0(X90,esk29_0,xR)
| ~ epred1_0 )
& ( aNormalFormOfIn0(esk29_0,esk26_0,xR)
| ~ epred1_0 )
& ( aElement0(esk31_0)
| aReductOfIn0(esk29_0,xb,xR)
| xb = esk29_0
| ~ epred1_0 )
& ( aReductOfIn0(esk31_0,xb,xR)
| aReductOfIn0(esk29_0,xb,xR)
| xb = esk29_0
| ~ epred1_0 )
& ( sdtmndtplgtdt0(esk31_0,xR,esk29_0)
| aReductOfIn0(esk29_0,xb,xR)
| xb = esk29_0
| ~ epred1_0 )
& ( sdtmndtplgtdt0(xb,xR,esk29_0)
| xb = esk29_0
| ~ epred1_0 )
& ( sdtmndtasgtdt0(xb,xR,esk29_0)
| ~ epred1_0 )
& ( aElement0(esk32_0)
| aReductOfIn0(esk29_0,xc,xR)
| xc = esk29_0
| ~ epred1_0 )
& ( aReductOfIn0(esk32_0,xc,xR)
| aReductOfIn0(esk29_0,xc,xR)
| xc = esk29_0
| ~ epred1_0 )
& ( sdtmndtplgtdt0(esk32_0,xR,esk29_0)
| aReductOfIn0(esk29_0,xc,xR)
| xc = esk29_0
| ~ epred1_0 )
& ( sdtmndtplgtdt0(xc,xR,esk29_0)
| xc = esk29_0
| ~ epred1_0 )
& ( sdtmndtasgtdt0(xc,xR,esk29_0)
| ~ epred1_0 ) ),
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_5])])])])]) ).
cnf(c_0_9,negated_conjecture,
( xb = xa
| epred1_0
| ~ sdtmndtplgtdt0(xa,xR,xc) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,negated_conjecture,
( sdtmndtplgtdt0(xa,xR,xc)
| xa = xc ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_11,negated_conjecture,
( ~ sdtmndtasgtdt0(xc,xR,X1)
| ~ sdtmndtasgtdt0(xb,xR,X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_12,plain,
( sdtmndtasgtdt0(xb,xR,esk29_0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
( aElement0(esk29_0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,plain,
( sdtmndtasgtdt0(xc,xR,esk29_0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,negated_conjecture,
( ~ sdtmndtasgtdt0(xc,xR,X1)
| xb != X1
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_16,hypothesis,
aElement0(xb),
inference(split_conjunct,[status(thm)],[m__731]) ).
cnf(c_0_17,negated_conjecture,
( xc = xa
| xb = xa
| epred1_0 ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_18,plain,
~ epred1_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]),c_0_14]) ).
cnf(c_0_19,negated_conjecture,
( xc != X1
| ~ sdtmndtasgtdt0(xb,xR,X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_20,hypothesis,
aElement0(xc),
inference(split_conjunct,[status(thm)],[m__731]) ).
cnf(c_0_21,negated_conjecture,
~ sdtmndtasgtdt0(xc,xR,xb),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_15]),c_0_16])]) ).
cnf(c_0_22,negated_conjecture,
( xb = xa
| xc = xa ),
inference(sr,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_23,negated_conjecture,
sdtmndtasgtdt0(xa,xR,xb),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_24,negated_conjecture,
~ sdtmndtasgtdt0(xb,xR,xc),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_19]),c_0_20])]) ).
cnf(c_0_25,negated_conjecture,
xb = xa,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]) ).
cnf(c_0_26,negated_conjecture,
sdtmndtasgtdt0(xa,xR,xc),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_27,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25]),c_0_26])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COM022+4 : 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
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 13:44:48 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.58 start to proof: theBenchmark
% 0.20/0.73 % Version : CSE_E---1.5
% 0.20/0.73 % Problem : theBenchmark.p
% 0.20/0.73 % Proof found
% 0.20/0.73 % SZS status Theorem for theBenchmark.p
% 0.20/0.73 % SZS output start Proof
% See solution above
% 0.20/0.73 % Total time : 0.133000 s
% 0.20/0.73 % SZS output end Proof
% 0.20/0.73 % Total time : 0.137000 s
%------------------------------------------------------------------------------