%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : COM022+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 : Sun Sep 27 06:59:40 AM UTC 2026
% Result : Theorem 0.95s 0.58s
% Output : CNFRefutation 0.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 6
% Syntax : Number of formulae : 81 ( 25 unt; 0 def)
% Number of atoms : 313 ( 31 equ)
% Maximal formula atoms : 41 ( 3 avg)
% Number of connectives : 370 ( 138 ~; 137 |; 83 &)
% ( 2 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 61 ( 0 sgn 13 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mTCRDef,axiom,
! [W0,W1,W2] :
( ( aElement0(W2)
& aRewritingSystem0(W1)
& aElement0(W0) )
=> ( sdtmndtasgtdt0(W0,W1,W2)
<=> ( sdtmndtplgtdt0(W0,W1,W2)
| W0 = W2 ) ) ),
file('theBenchmark.p',mTCRDef) ).
fof(mTCRTrans,axiom,
! [W0,W1,W2,W3] :
( ( aElement0(W3)
& aElement0(W2)
& aRewritingSystem0(W1)
& aElement0(W0) )
=> ( ( sdtmndtasgtdt0(W2,W1,W3)
& sdtmndtasgtdt0(W0,W1,W2) )
=> sdtmndtasgtdt0(W0,W1,W3) ) ),
file('theBenchmark.p',mTCRTrans) ).
fof(mNFRDef,axiom,
! [W0,W1] :
( ( aRewritingSystem0(W1)
& aElement0(W0) )
=> ! [W2] :
( aNormalFormOfIn0(W2,W0,W1)
<=> ( ~ ? [W3] : aReductOfIn0(W3,W2,W1)
& sdtmndtasgtdt0(W0,W1,W2)
& aElement0(W2) ) ) ),
file('theBenchmark.p',mNFRDef) ).
fof(m__731,axiom,
( aElement0(xc)
& aElement0(xb)
& aElement0(xa) ),
file('theBenchmark.p',m__731) ).
fof(m__,conjecture,
( ( ( sdtmndtplgtdt0(xa,xR,xc)
& sdtmndtplgtdt0(xa,xR,xb) )
=> ? [W0] :
( ? [W1] :
( ? [W2] :
( ? [W3] :
( sdtmndtasgtdt0(xc,xR,W3)
& sdtmndtasgtdt0(xb,xR,W3)
& aNormalFormOfIn0(W3,W2,xR) )
& sdtmndtasgtdt0(W1,xR,W2)
& sdtmndtasgtdt0(W0,xR,W2)
& aElement0(W2) )
& sdtmndtasgtdt0(W1,xR,xc)
& aReductOfIn0(W1,xa,xR)
& aElement0(W1) )
& sdtmndtasgtdt0(W0,xR,xb)
& aReductOfIn0(W0,xa,xR)
& aElement0(W0) ) )
=> ( ( sdtmndtasgtdt0(xa,xR,xc)
& sdtmndtasgtdt0(xa,xR,xb) )
=> ? [W0] :
( sdtmndtasgtdt0(xc,xR,W0)
& sdtmndtasgtdt0(xb,xR,W0)
& aElement0(W0) ) ) ),
file('theBenchmark.p',m__) ).
fof(m___neg,negated_conjecture,
~ ( ( ( sdtmndtplgtdt0(xa,xR,xc)
& sdtmndtplgtdt0(xa,xR,xb) )
=> ? [W0] :
( ? [W1] :
( ? [W2] :
( ? [W3] :
( sdtmndtasgtdt0(xc,xR,W3)
& sdtmndtasgtdt0(xb,xR,W3)
& aNormalFormOfIn0(W3,W2,xR) )
& sdtmndtasgtdt0(W1,xR,W2)
& sdtmndtasgtdt0(W0,xR,W2)
& aElement0(W2) )
& sdtmndtasgtdt0(W1,xR,xc)
& aReductOfIn0(W1,xa,xR)
& aElement0(W1) )
& sdtmndtasgtdt0(W0,xR,xb)
& aReductOfIn0(W0,xa,xR)
& aElement0(W0) ) )
=> ( ( sdtmndtasgtdt0(xa,xR,xc)
& sdtmndtasgtdt0(xa,xR,xb) )
=> ? [W0] :
( sdtmndtasgtdt0(xc,xR,W0)
& sdtmndtasgtdt0(xb,xR,W0)
& aElement0(W0) ) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(m__656,axiom,
aRewritingSystem0(xR),
file('theBenchmark.p',m__656) ).
cnf(c_19,plain,
aRewritingSystem0(xR),
inference(clausify,[status(thm)],[m__656]) ).
cnf(c_24,plain,
( aElement0(C)
| ~ aNormalFormOfIn0(C,A,B)
| ~ aRewritingSystem0(B)
| ~ aElement0(A) ),
inference(clausify,[status(thm)],[mNFRDef]) ).
cnf(c_48,plain,
( sdtmndtasgtdt0(A,B,D)
| ~ sdtmndtasgtdt0(C,B,D)
| ~ sdtmndtasgtdt0(A,B,C)
| ~ aElement0(D)
| ~ aElement0(C)
| ~ aRewritingSystem0(B)
| ~ aElement0(A) ),
inference(clausify,[status(thm)],[mTCRTrans]) ).
cnf(c_50,plain,
( C != A
| sdtmndtasgtdt0(A,B,C)
| ~ aElement0(C)
| ~ aRewritingSystem0(B)
| ~ aElement0(A) ),
inference(clausify,[status(thm)],[mTCRDef]) ).
cnf(c_51,plain,
( sdtmndtplgtdt0(A,B,C)
| C = A
| ~ sdtmndtasgtdt0(A,B,C)
| ~ aElement0(C)
| ~ aRewritingSystem0(B)
| ~ aElement0(A) ),
inference(clausify,[status(thm)],[mTCRDef]) ).
cnf(c_66,plain,
( sdtmndtplgtdt0(A,xR,B)
| B = A
| ~ sdtmndtasgtdt0(A,xR,B)
| ~ aElement0(B)
| ~ aElement0(A) ),
inference(resolve,[status(thm)],[c_19,c_51]) ).
cnf(c_67,plain,
( B != A
| sdtmndtasgtdt0(A,xR,B)
| ~ aElement0(B)
| ~ aElement0(A) ),
inference(resolve,[status(thm)],[c_19,c_50]) ).
cnf(c_69,plain,
( sdtmndtasgtdt0(A,xR,C)
| ~ sdtmndtasgtdt0(B,xR,C)
| ~ sdtmndtasgtdt0(A,xR,B)
| ~ aElement0(C)
| ~ aElement0(B)
| ~ aElement0(A) ),
inference(resolve,[status(thm)],[c_19,c_48]) ).
cnf(c_83,plain,
( aElement0(B)
| ~ aNormalFormOfIn0(B,A,xR)
| ~ aElement0(A) ),
inference(resolve,[status(thm)],[c_19,c_24]) ).
fof(nnf_18,plain,
( ! [W0] :
( ~ sdtmndtasgtdt0(xc,xR,W0)
| ~ sdtmndtasgtdt0(xb,xR,W0)
| ~ aElement0(W0) )
& sdtmndtasgtdt0(xa,xR,xc)
& sdtmndtasgtdt0(xa,xR,xb)
& ( ? [X0] :
( ? [W1] :
( ? [W2] :
( ? [W3] :
( sdtmndtasgtdt0(xc,xR,W3)
& sdtmndtasgtdt0(xb,xR,W3)
& aNormalFormOfIn0(W3,W2,xR) )
& sdtmndtasgtdt0(W1,xR,W2)
& sdtmndtasgtdt0(X0,xR,W2)
& aElement0(W2) )
& sdtmndtasgtdt0(W1,xR,xc)
& aReductOfIn0(W1,xa,xR)
& aElement0(W1) )
& sdtmndtasgtdt0(X0,xR,xb)
& aReductOfIn0(X0,xa,xR)
& aElement0(X0) )
| ~ sdtmndtplgtdt0(xa,xR,xc)
| ~ sdtmndtplgtdt0(xa,xR,xb) ) ),
inference(fof_nnf,[status(thm)],[m___neg]) ).
fof(sk_m___neg_sk,plain,
( ! [W0] :
( ~ sdtmndtasgtdt0(xc,xR,W0)
| ~ sdtmndtasgtdt0(xb,xR,W0)
| ~ aElement0(W0) )
& sdtmndtasgtdt0(xa,xR,xc)
& sdtmndtasgtdt0(xa,xR,xb)
& ( ( sdtmndtasgtdt0(xc,xR,sK0)
& sdtmndtasgtdt0(xb,xR,sK0)
& aNormalFormOfIn0(sK0,sK1,xR)
& sdtmndtasgtdt0(sK4,xR,sK1)
& sdtmndtasgtdt0(sK3,xR,sK1)
& aElement0(sK1)
& sdtmndtasgtdt0(sK4,xR,xc)
& aReductOfIn0(sK4,xa,xR)
& aElement0(sK4)
& sdtmndtasgtdt0(sK3,xR,xb)
& aReductOfIn0(sK3,xa,xR)
& aElement0(sK3) )
| ~ sdtmndtplgtdt0(xa,xR,xc)
| ~ sdtmndtplgtdt0(xa,xR,xb) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK1,sK0]),skolemize(X0,sK3),skolemize(W1,sK4),skolemize(W2,sK1),skolemize(W3,sK0)],[nnf_18]) ).
fof(sk_m___neg,plain,
( ! [VAR_0] :
( ~ sdtmndtasgtdt0(xc,xR,VAR_0)
| ~ sdtmndtasgtdt0(xb,xR,VAR_0)
| ~ aElement0(VAR_0) )
& sdtmndtasgtdt0(xa,xR,xc)
& sdtmndtasgtdt0(xa,xR,xb)
& ( sdtmndtasgtdt0(xc,xR,sK0)
| ~ sdtmndtplgtdt0(xa,xR,xc)
| ~ sdtmndtplgtdt0(xa,xR,xb) )
& ( sdtmndtasgtdt0(xb,xR,sK0)
| ~ sdtmndtplgtdt0(xa,xR,xc)
| ~ sdtmndtplgtdt0(xa,xR,xb) )
& ( aNormalFormOfIn0(sK0,sK1,xR)
| ~ sdtmndtplgtdt0(xa,xR,xc)
| ~ sdtmndtplgtdt0(xa,xR,xb) )
& ( sdtmndtasgtdt0(sK4,xR,sK1)
| ~ sdtmndtplgtdt0(xa,xR,xc)
| ~ sdtmndtplgtdt0(xa,xR,xb) )
& ( sdtmndtasgtdt0(sK3,xR,sK1)
| ~ sdtmndtplgtdt0(xa,xR,xc)
| ~ sdtmndtplgtdt0(xa,xR,xb) )
& ( aElement0(sK1)
| ~ sdtmndtplgtdt0(xa,xR,xc)
| ~ sdtmndtplgtdt0(xa,xR,xb) )
& ( sdtmndtasgtdt0(sK4,xR,xc)
| ~ sdtmndtplgtdt0(xa,xR,xc)
| ~ sdtmndtplgtdt0(xa,xR,xb) )
& ( aReductOfIn0(sK4,xa,xR)
| ~ sdtmndtplgtdt0(xa,xR,xc)
| ~ sdtmndtplgtdt0(xa,xR,xb) )
& ( aElement0(sK4)
| ~ sdtmndtplgtdt0(xa,xR,xc)
| ~ sdtmndtplgtdt0(xa,xR,xb) )
& ( sdtmndtasgtdt0(sK3,xR,xb)
| ~ sdtmndtplgtdt0(xa,xR,xc)
| ~ sdtmndtplgtdt0(xa,xR,xb) )
& ( aReductOfIn0(sK3,xa,xR)
| ~ sdtmndtplgtdt0(xa,xR,xc)
| ~ sdtmndtplgtdt0(xa,xR,xb) )
& ( aElement0(sK3)
| ~ sdtmndtplgtdt0(xa,xR,xc)
| ~ sdtmndtplgtdt0(xa,xR,xb) ) ),
inference(cnf_transformation,[status(thm)],[sk_m___neg_sk]) ).
cnf(c_88,negated_conjecture,
( ~ sdtmndtasgtdt0(xc,xR,A)
| ~ sdtmndtasgtdt0(xb,xR,A)
| ~ aElement0(A) ),
inference(split_conjunct,[status(thm)],[sk_m___neg]) ).
cnf(c_89,negated_conjecture,
sdtmndtasgtdt0(xa,xR,xc),
inference(split_conjunct,[status(thm)],[sk_m___neg]) ).
cnf(c_90,negated_conjecture,
sdtmndtasgtdt0(xa,xR,xb),
inference(split_conjunct,[status(thm)],[sk_m___neg]) ).
cnf(c_91,negated_conjecture,
( sdtmndtasgtdt0(xc,xR,sK0)
| ~ sdtmndtplgtdt0(xa,xR,xc)
| ~ sdtmndtplgtdt0(xa,xR,xb) ),
inference(split_conjunct,[status(thm)],[sk_m___neg]) ).
cnf(c_92,negated_conjecture,
( sdtmndtasgtdt0(xb,xR,sK0)
| ~ sdtmndtplgtdt0(xa,xR,xc)
| ~ sdtmndtplgtdt0(xa,xR,xb) ),
inference(split_conjunct,[status(thm)],[sk_m___neg]) ).
cnf(c_93,negated_conjecture,
( aNormalFormOfIn0(sK0,sK1,xR)
| ~ sdtmndtplgtdt0(xa,xR,xc)
| ~ sdtmndtplgtdt0(xa,xR,xb) ),
inference(split_conjunct,[status(thm)],[sk_m___neg]) ).
cnf(c_96,negated_conjecture,
( aElement0(sK1)
| ~ sdtmndtplgtdt0(xa,xR,xc)
| ~ sdtmndtplgtdt0(xa,xR,xb) ),
inference(split_conjunct,[status(thm)],[sk_m___neg]) ).
cnf(c_106,plain,
aElement0(xc),
inference(clausify,[status(thm)],[m__731]) ).
cnf(c_107,plain,
aElement0(xb),
inference(clausify,[status(thm)],[m__731]) ).
cnf(c_108,plain,
aElement0(xa),
inference(clausify,[status(thm)],[m__731]) ).
cnf(c_911,negated_conjecture,
( sdtmndtplgtdt0(xa,xR,xc)
| xc = xa
| ~ aElement0(xc)
| ~ aElement0(xa) ),
inference(resolve,[status(thm)],[c_89,c_66]) ).
cnf(c_912,negated_conjecture,
( sdtmndtplgtdt0(xa,xR,xc)
| xc = xa
| ~ aElement0(xc) ),
inference(resolve,[status(thm)],[c_108,c_911]) ).
cnf(c_172,negated_conjecture,
( sdtmndtplgtdt0(xa,xR,xc)
| xc = xa ),
inference(resolve,[status(thm)],[c_106,c_912]) ).
cnf(c_913,negated_conjecture,
( sdtmndtplgtdt0(xa,xR,xb)
| xb = xa
| ~ aElement0(xb)
| ~ aElement0(xa) ),
inference(resolve,[status(thm)],[c_90,c_66]) ).
cnf(c_914,negated_conjecture,
( sdtmndtplgtdt0(xa,xR,xb)
| xb = xa
| ~ aElement0(xb) ),
inference(resolve,[status(thm)],[c_108,c_913]) ).
cnf(c_182,negated_conjecture,
( sdtmndtplgtdt0(xa,xR,xb)
| xb = xa ),
inference(resolve,[status(thm)],[c_107,c_914]) ).
cnf(c_915,plain,
( A != xc
| sdtmndtasgtdt0(xc,xR,A)
| ~ aElement0(A) ),
inference(resolve,[status(thm)],[c_67,c_106]) ).
cnf(c_916,plain,
( xc != xc
| sdtmndtasgtdt0(xc,xR,xc) ),
inference(resolve,[status(thm)],[c_915,c_106]) ).
cnf(c_221,plain,
sdtmndtasgtdt0(xc,xR,xc),
inference(xxres,[status(thm)],[c_916]) ).
cnf(c_917,plain,
( A != xb
| sdtmndtasgtdt0(xb,xR,A)
| ~ aElement0(A) ),
inference(resolve,[status(thm)],[c_67,c_107]) ).
cnf(c_918,plain,
( xb != xb
| sdtmndtasgtdt0(xb,xR,xb) ),
inference(resolve,[status(thm)],[c_917,c_107]) ).
cnf(c_224,plain,
sdtmndtasgtdt0(xb,xR,xb),
inference(xxres,[status(thm)],[c_918]) ).
cnf(c_919,negated_conjecture,
( ~ sdtmndtasgtdt0(xb,xR,xc)
| ~ aElement0(xc) ),
inference(resolve,[status(thm)],[c_221,c_88]) ).
cnf(c_314,negated_conjecture,
~ sdtmndtasgtdt0(xb,xR,xc),
inference(resolve,[status(thm)],[c_106,c_919]) ).
cnf(c_920,negated_conjecture,
( ~ sdtmndtasgtdt0(xc,xR,xb)
| ~ sdtmndtasgtdt0(xb,xR,xb) ),
inference(resolve,[status(thm)],[c_88,c_107]) ).
cnf(c_344,negated_conjecture,
~ sdtmndtasgtdt0(xc,xR,xb),
inference(resolve,[status(thm)],[c_920,c_224]) ).
cnf(c_413,plain,
( aElement0(sK1)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| xc = xa ),
inference(resolve,[status(thm)],[c_172,c_96]) ).
cnf(c_416,plain,
( aNormalFormOfIn0(sK0,sK1,xR)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| xc = xa ),
inference(resolve,[status(thm)],[c_172,c_93]) ).
cnf(c_417,plain,
( sdtmndtasgtdt0(xb,xR,sK0)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| xc = xa ),
inference(resolve,[status(thm)],[c_172,c_92]) ).
cnf(c_418,plain,
( sdtmndtasgtdt0(xc,xR,sK0)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| xc = xa ),
inference(resolve,[status(thm)],[c_172,c_91]) ).
cnf(c_921,plain,
( sdtmndtasgtdt0(xb,xR,B)
| ~ sdtmndtasgtdt0(A,xR,B)
| ~ sdtmndtasgtdt0(xb,xR,A)
| ~ aElement0(B)
| ~ aElement0(A) ),
inference(resolve,[status(thm)],[c_69,c_107]) ).
cnf(c_922,plain,
( sdtmndtasgtdt0(xb,xR,A)
| ~ sdtmndtasgtdt0(xa,xR,A)
| ~ sdtmndtasgtdt0(xb,xR,xa)
| ~ aElement0(A) ),
inference(resolve,[status(thm)],[c_921,c_108]) ).
cnf(c_923,plain,
( sdtmndtasgtdt0(xb,xR,xc)
| ~ sdtmndtasgtdt0(xa,xR,xc)
| ~ sdtmndtasgtdt0(xb,xR,xa) ),
inference(resolve,[status(thm)],[c_922,c_106]) ).
cnf(c_924,negated_conjecture,
( sdtmndtasgtdt0(xb,xR,xc)
| ~ sdtmndtasgtdt0(xb,xR,xa) ),
inference(resolve,[status(thm)],[c_923,c_89]) ).
cnf(c_425,negated_conjecture,
~ sdtmndtasgtdt0(xb,xR,xa),
inference(resolve,[status(thm)],[c_924,c_314]) ).
cnf(c_925,plain,
( sdtmndtasgtdt0(xc,xR,B)
| ~ sdtmndtasgtdt0(A,xR,B)
| ~ sdtmndtasgtdt0(xc,xR,A)
| ~ aElement0(B)
| ~ aElement0(A) ),
inference(resolve,[status(thm)],[c_69,c_106]) ).
cnf(c_926,plain,
( sdtmndtasgtdt0(xc,xR,A)
| ~ sdtmndtasgtdt0(xa,xR,A)
| ~ sdtmndtasgtdt0(xc,xR,xa)
| ~ aElement0(A) ),
inference(resolve,[status(thm)],[c_925,c_108]) ).
cnf(c_927,plain,
( sdtmndtasgtdt0(xc,xR,xb)
| ~ sdtmndtasgtdt0(xa,xR,xb)
| ~ sdtmndtasgtdt0(xc,xR,xa) ),
inference(resolve,[status(thm)],[c_926,c_107]) ).
cnf(c_928,negated_conjecture,
( sdtmndtasgtdt0(xc,xR,xb)
| ~ sdtmndtasgtdt0(xc,xR,xa) ),
inference(resolve,[status(thm)],[c_927,c_90]) ).
cnf(c_429,negated_conjecture,
~ sdtmndtasgtdt0(xc,xR,xa),
inference(resolve,[status(thm)],[c_928,c_344]) ).
cnf(c_929,plain,
( A != xb
| sdtmndtasgtdt0(xb,xR,A)
| ~ aElement0(A) ),
inference(resolve,[status(thm)],[c_67,c_107]) ).
cnf(c_930,plain,
( xa != xb
| sdtmndtasgtdt0(xb,xR,xa) ),
inference(resolve,[status(thm)],[c_929,c_108]) ).
cnf(c_931,plain,
xa != xb,
inference(resolve,[status(thm)],[c_930,c_425]) ).
cnf(c_433,plain,
xb != xa,
inference(copy,[status(thm)],[c_931]) ).
cnf(c_434,negated_conjecture,
sdtmndtplgtdt0(xa,xR,xb),
inference(resolve,[status(thm)],[c_433,c_182]) ).
cnf(c_435,plain,
( sdtmndtasgtdt0(xc,xR,sK0)
| xc = xa ),
inference(resolve,[status(thm)],[c_434,c_418]) ).
cnf(c_436,plain,
( sdtmndtasgtdt0(xb,xR,sK0)
| xc = xa ),
inference(resolve,[status(thm)],[c_434,c_417]) ).
cnf(c_437,plain,
( aNormalFormOfIn0(sK0,sK1,xR)
| xc = xa ),
inference(resolve,[status(thm)],[c_434,c_416]) ).
cnf(c_440,plain,
( aElement0(sK1)
| xc = xa ),
inference(resolve,[status(thm)],[c_434,c_413]) ).
cnf(c_932,plain,
( A != xc
| sdtmndtasgtdt0(xc,xR,A)
| ~ aElement0(A) ),
inference(resolve,[status(thm)],[c_67,c_106]) ).
cnf(c_933,plain,
( xa != xc
| sdtmndtasgtdt0(xc,xR,xa) ),
inference(resolve,[status(thm)],[c_932,c_108]) ).
cnf(c_934,plain,
xa != xc,
inference(resolve,[status(thm)],[c_933,c_429]) ).
cnf(c_484,plain,
xc != xa,
inference(copy,[status(thm)],[c_934]) ).
cnf(c_499,plain,
aElement0(sK1),
inference(resolve,[status(thm)],[c_484,c_440]) ).
cnf(c_502,plain,
aNormalFormOfIn0(sK0,sK1,xR),
inference(resolve,[status(thm)],[c_484,c_437]) ).
cnf(c_503,plain,
sdtmndtasgtdt0(xb,xR,sK0),
inference(resolve,[status(thm)],[c_484,c_436]) ).
cnf(c_504,plain,
sdtmndtasgtdt0(xc,xR,sK0),
inference(resolve,[status(thm)],[c_484,c_435]) ).
cnf(c_935,plain,
( aElement0(sK0)
| ~ aElement0(sK1) ),
inference(resolve,[status(thm)],[c_502,c_83]) ).
cnf(c_846,plain,
aElement0(sK0),
inference(resolve,[status(thm)],[c_499,c_935]) ).
cnf(c_936,negated_conjecture,
( ~ sdtmndtasgtdt0(xc,xR,sK0)
| ~ sdtmndtasgtdt0(xb,xR,sK0) ),
inference(resolve,[status(thm)],[c_88,c_846]) ).
cnf(c_937,negated_conjecture,
~ sdtmndtasgtdt0(xc,xR,sK0),
inference(resolve,[status(thm)],[c_936,c_503]) ).
cnf(c_910,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_504,c_937]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM022+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n026.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 23:25:56 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.36 % Process 2214191 was started by sandbox2 on n026,
% 0.08/0.36 % Sat Sep 26 23:25:56 2026
% 0.08/0.36 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.13/0.37
% 0.13/0.37 % From the command line: assign(max_seconds, 300).
% 0.95/0.58
% 0.95/0.58 % SZS status Theorem for theBenchmark
% 0.95/0.58
% 0.95/0.58 % Proof 1 at 0.18 (+ 0.02) seconds.
% 0.95/0.58 % Length of proof is 49.
% 0.95/0.58 % Level of proof is 11.
% 0.95/0.58 % Maximum clause weight is 23.000.
% 0.95/0.58 % Given clauses 141.
% 0.95/0.58
% 0.95/0.58 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------