%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : COM022+4 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n011.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 : Tue May 5 04:13:10 PM UTC 2026
% Result : Theorem 3.77s 3.18s
% Output : CNFRefutation 3.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 29 ( 9 unt; 0 def)
% Number of atoms : 588 ( 85 equ)
% Maximal formula atoms : 158 ( 20 avg)
% Number of connectives : 753 ( 194 ~; 298 |; 253 &)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 53 ( 9 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 2 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 17 con; 0-0 aty)
% Number of variables : 59 ( 0 sgn 6 !; 50 ?)
% Comments :
%------------------------------------------------------------------------------
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,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]) ).
fof(c_0_5,negated_conjecture,
! [X155,X156,X159,X160,X161] :
( ( ~ aReductOfIn0(xc,xa,xR)
| ~ aReductOfIn0(xb,xa,xR)
| epred1_0 )
& ( ~ aElement0(X156)
| ~ aReductOfIn0(X156,xa,xR)
| ~ sdtmndtplgtdt0(X156,xR,xc)
| ~ aReductOfIn0(xb,xa,xR)
| epred1_0 )
& ( ~ sdtmndtplgtdt0(xa,xR,xc)
| ~ aReductOfIn0(xb,xa,xR)
| epred1_0 )
& ( ~ aReductOfIn0(xc,xa,xR)
| ~ aElement0(X155)
| ~ aReductOfIn0(X155,xa,xR)
| ~ sdtmndtplgtdt0(X155,xR,xb)
| epred1_0 )
& ( ~ aElement0(X156)
| ~ aReductOfIn0(X156,xa,xR)
| ~ sdtmndtplgtdt0(X156,xR,xc)
| ~ aElement0(X155)
| ~ aReductOfIn0(X155,xa,xR)
| ~ sdtmndtplgtdt0(X155,xR,xb)
| epred1_0 )
& ( ~ sdtmndtplgtdt0(xa,xR,xc)
| ~ aElement0(X155)
| ~ aReductOfIn0(X155,xa,xR)
| ~ sdtmndtplgtdt0(X155,xR,xb)
| epred1_0 )
& ( ~ aReductOfIn0(xc,xa,xR)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| epred1_0 )
& ( ~ aElement0(X156)
| ~ aReductOfIn0(X156,xa,xR)
| ~ sdtmndtplgtdt0(X156,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 != X159
| xb != X159
| ~ aElement0(X159) )
& ( ~ aReductOfIn0(X159,xc,xR)
| xb != X159
| ~ aElement0(X159) )
& ( ~ aElement0(X161)
| ~ aReductOfIn0(X161,xc,xR)
| ~ sdtmndtplgtdt0(X161,xR,X159)
| xb != X159
| ~ aElement0(X159) )
& ( ~ sdtmndtplgtdt0(xc,xR,X159)
| xb != X159
| ~ aElement0(X159) )
& ( ~ sdtmndtasgtdt0(xc,xR,X159)
| xb != X159
| ~ aElement0(X159) )
& ( xc != X159
| ~ aReductOfIn0(X159,xb,xR)
| ~ aElement0(X159) )
& ( ~ aReductOfIn0(X159,xc,xR)
| ~ aReductOfIn0(X159,xb,xR)
| ~ aElement0(X159) )
& ( ~ aElement0(X161)
| ~ aReductOfIn0(X161,xc,xR)
| ~ sdtmndtplgtdt0(X161,xR,X159)
| ~ aReductOfIn0(X159,xb,xR)
| ~ aElement0(X159) )
& ( ~ sdtmndtplgtdt0(xc,xR,X159)
| ~ aReductOfIn0(X159,xb,xR)
| ~ aElement0(X159) )
& ( ~ sdtmndtasgtdt0(xc,xR,X159)
| ~ aReductOfIn0(X159,xb,xR)
| ~ aElement0(X159) )
& ( xc != X159
| ~ aElement0(X160)
| ~ aReductOfIn0(X160,xb,xR)
| ~ sdtmndtplgtdt0(X160,xR,X159)
| ~ aElement0(X159) )
& ( ~ aReductOfIn0(X159,xc,xR)
| ~ aElement0(X160)
| ~ aReductOfIn0(X160,xb,xR)
| ~ sdtmndtplgtdt0(X160,xR,X159)
| ~ aElement0(X159) )
& ( ~ aElement0(X161)
| ~ aReductOfIn0(X161,xc,xR)
| ~ sdtmndtplgtdt0(X161,xR,X159)
| ~ aElement0(X160)
| ~ aReductOfIn0(X160,xb,xR)
| ~ sdtmndtplgtdt0(X160,xR,X159)
| ~ aElement0(X159) )
& ( ~ sdtmndtplgtdt0(xc,xR,X159)
| ~ aElement0(X160)
| ~ aReductOfIn0(X160,xb,xR)
| ~ sdtmndtplgtdt0(X160,xR,X159)
| ~ aElement0(X159) )
& ( ~ sdtmndtasgtdt0(xc,xR,X159)
| ~ aElement0(X160)
| ~ aReductOfIn0(X160,xb,xR)
| ~ sdtmndtplgtdt0(X160,xR,X159)
| ~ aElement0(X159) )
& ( xc != X159
| ~ sdtmndtplgtdt0(xb,xR,X159)
| ~ aElement0(X159) )
& ( ~ aReductOfIn0(X159,xc,xR)
| ~ sdtmndtplgtdt0(xb,xR,X159)
| ~ aElement0(X159) )
& ( ~ aElement0(X161)
| ~ aReductOfIn0(X161,xc,xR)
| ~ sdtmndtplgtdt0(X161,xR,X159)
| ~ sdtmndtplgtdt0(xb,xR,X159)
| ~ aElement0(X159) )
& ( ~ sdtmndtplgtdt0(xc,xR,X159)
| ~ sdtmndtplgtdt0(xb,xR,X159)
| ~ aElement0(X159) )
& ( ~ sdtmndtasgtdt0(xc,xR,X159)
| ~ sdtmndtplgtdt0(xb,xR,X159)
| ~ aElement0(X159) )
& ( xc != X159
| ~ sdtmndtasgtdt0(xb,xR,X159)
| ~ aElement0(X159) )
& ( ~ aReductOfIn0(X159,xc,xR)
| ~ sdtmndtasgtdt0(xb,xR,X159)
| ~ aElement0(X159) )
& ( ~ aElement0(X161)
| ~ aReductOfIn0(X161,xc,xR)
| ~ sdtmndtplgtdt0(X161,xR,X159)
| ~ sdtmndtasgtdt0(xb,xR,X159)
| ~ aElement0(X159) )
& ( ~ sdtmndtplgtdt0(xc,xR,X159)
| ~ sdtmndtasgtdt0(xb,xR,X159)
| ~ aElement0(X159) )
& ( ~ sdtmndtasgtdt0(xc,xR,X159)
| ~ sdtmndtasgtdt0(xb,xR,X159)
| ~ aElement0(X159) ) ),
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_6,plain,
! [X171] :
( ( 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(X171,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_4])])])])]) ).
cnf(c_0_7,negated_conjecture,
( ~ sdtmndtasgtdt0(xc,xR,X1)
| ~ sdtmndtplgtdt0(xb,xR,X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
( sdtmndtasgtdt0(xc,xR,esk29_0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
( aElement0(esk29_0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( ~ epred1_0
| ~ sdtmndtplgtdt0(xb,xR,esk29_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9]) ).
cnf(c_0_11,plain,
( sdtmndtplgtdt0(xb,xR,esk29_0)
| xb = esk29_0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,negated_conjecture,
( ~ sdtmndtasgtdt0(xc,xR,X1)
| xb != X1
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_13,hypothesis,
aElement0(xb),
inference(split_conjunct,[status(thm)],[m__731]) ).
cnf(c_0_14,plain,
( esk29_0 = xb
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,negated_conjecture,
~ sdtmndtasgtdt0(xc,xR,xb),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_12]),c_0_13])]) ).
cnf(c_0_16,negated_conjecture,
( epred1_0
| ~ sdtmndtplgtdt0(xa,xR,xc)
| ~ sdtmndtplgtdt0(xa,xR,xb) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_17,negated_conjecture,
( sdtmndtplgtdt0(xa,xR,xc)
| xa = xc ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_18,plain,
~ epred1_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_14]),c_0_15]) ).
cnf(c_0_19,negated_conjecture,
( xc = xa
| ~ sdtmndtplgtdt0(xa,xR,xb) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).
cnf(c_0_20,negated_conjecture,
( sdtmndtplgtdt0(xa,xR,xb)
| xa = xb ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_21,negated_conjecture,
( xc != X1
| ~ sdtmndtasgtdt0(xb,xR,X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_22,hypothesis,
aElement0(xc),
inference(split_conjunct,[status(thm)],[m__731]) ).
cnf(c_0_23,negated_conjecture,
( xb = xa
| xc = xa ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,negated_conjecture,
sdtmndtasgtdt0(xa,xR,xb),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_25,negated_conjecture,
~ sdtmndtasgtdt0(xb,xR,xc),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_21]),c_0_22])]) ).
cnf(c_0_26,negated_conjecture,
xb = xa,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_23]),c_0_24])]) ).
cnf(c_0_27,negated_conjecture,
sdtmndtasgtdt0(xa,xR,xc),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_28,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_26]),c_0_27])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : COM022+4 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.34 % Computer : n011.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Mon May 4 16:19:32 EDT 2026
% 0.16/0.35 % CPUTime :
% 0.19/0.36 % start to proof: theBenchmark
% 3.77/3.18 % Version : CSE_E---1.7
% 3.77/3.18 % Problem : theBenchmark.p
% 3.77/3.18 % SZS status Theorem for theBenchmark.p
% 3.77/3.18 % SZS output start CNFRefutation
% See solution above
% 3.77/3.19 % Total time : 2.422s
%------------------------------------------------------------------------------