%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : COM017+4 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n019.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 : Fri Sep 25 01:03:30 PM UTC 2026
% Result : Theorem 69.51s 9.24s
% Output : Proof 69.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 70 ( 22 unt; 1 def)
% Number of atoms : 378 ( 46 equ)
% Maximal formula atoms : 30 ( 5 avg)
% Number of connectives : 492 ( 184 ~; 174 |; 129 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 10 con; 0-4 aty)
% Number of variables : 106 ( 1 sgn 30 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15,hypothesis,
( isTerminating0(xR)
& ! [W0,W1] :
( ( aElement0(W1)
& aElement0(W0) )
=> ( ( sdtmndtplgtdt0(W0,xR,W1)
| ? [W2] :
( sdtmndtplgtdt0(W2,xR,W1)
& aReductOfIn0(W2,W0,xR)
& aElement0(W2) )
| aReductOfIn0(W1,W0,xR) )
=> iLess0(W1,W0) ) )
& isLocallyConfluent0(xR)
& ! [W0,W1,W2] :
( ( aReductOfIn0(W2,W0,xR)
& aReductOfIn0(W1,W0,xR)
& aElement0(W2)
& aElement0(W1)
& aElement0(W0) )
=> ? [W3] :
( sdtmndtasgtdt0(W2,xR,W3)
& ( ( sdtmndtplgtdt0(W2,xR,W3)
& ( ? [W4] :
( sdtmndtplgtdt0(W4,xR,W3)
& aReductOfIn0(W4,W2,xR)
& aElement0(W4) )
| aReductOfIn0(W3,W2,xR) ) )
| W2 = W3 )
& sdtmndtasgtdt0(W1,xR,W3)
& ( ( sdtmndtplgtdt0(W1,xR,W3)
& ( ? [W4] :
( sdtmndtplgtdt0(W4,xR,W3)
& aReductOfIn0(W4,W1,xR)
& aElement0(W4) )
| aReductOfIn0(W3,W1,xR) ) )
| W1 = W3 )
& aElement0(W3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__656_01) ).
fof(f15_nnf,plain,
( isTerminating0(xR)
& ! [W0,W1] :
( iLess0(W1,W0)
| ( ~ sdtmndtplgtdt0(W0,xR,W1)
& ! [W2] :
( ~ sdtmndtplgtdt0(W2,xR,W1)
| ~ aReductOfIn0(W2,W0,xR)
| ~ aElement0(W2) )
& ~ aReductOfIn0(W1,W0,xR) )
| ~ aElement0(W1)
| ~ aElement0(W0) )
& isLocallyConfluent0(xR)
& ! [W0,W1,W2] :
( ? [W3] :
( sdtmndtasgtdt0(W2,xR,W3)
& ( ( sdtmndtplgtdt0(W2,xR,W3)
& ( ? [W4] :
( sdtmndtplgtdt0(W4,xR,W3)
& aReductOfIn0(W4,W2,xR)
& aElement0(W4) )
| aReductOfIn0(W3,W2,xR) ) )
| W2 = W3 )
& sdtmndtasgtdt0(W1,xR,W3)
& ( ( sdtmndtplgtdt0(W1,xR,W3)
& ( ? [W4] :
( sdtmndtplgtdt0(W4,xR,W3)
& aReductOfIn0(W4,W1,xR)
& aElement0(W4) )
| aReductOfIn0(W3,W1,xR) ) )
| W1 = W3 )
& aElement0(W3) )
| ~ aReductOfIn0(W2,W0,xR)
| ~ aReductOfIn0(W1,W0,xR)
| ~ aElement0(W2)
| ~ aElement0(W1)
| ~ aElement0(W0) ) ),
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
! [W0,W1,W2] :
( isTerminating0(xR)
& ( iLess0(W1,W0)
| ( ~ sdtmndtplgtdt0(W0,xR,W1)
& ( ~ sdtmndtplgtdt0(W2,xR,W1)
| ~ aReductOfIn0(W2,W0,xR)
| ~ aElement0(W2) )
& ~ aReductOfIn0(W1,W0,xR) )
| ~ aElement0(W1)
| ~ aElement0(W0) )
& isLocallyConfluent0(xR)
& ( ( sdtmndtasgtdt0(W2,xR,sk13(W0,W1,W2))
& ( ( sdtmndtplgtdt0(W2,xR,sk13(W0,W1,W2))
& ( ( sdtmndtplgtdt0(sk15(W0,W1,W2),xR,sk13(W0,W1,W2))
& aReductOfIn0(sk15(W0,W1,W2),W2,xR)
& aElement0(sk15(W0,W1,W2)) )
| aReductOfIn0(sk13(W0,W1,W2),W2,xR) ) )
| W2 = sk13(W0,W1,W2) )
& sdtmndtasgtdt0(W1,xR,sk13(W0,W1,W2))
& ( ( sdtmndtplgtdt0(W1,xR,sk13(W0,W1,W2))
& ( ( sdtmndtplgtdt0(sk14(W0,W1,W2),xR,sk13(W0,W1,W2))
& aReductOfIn0(sk14(W0,W1,W2),W1,xR)
& aElement0(sk14(W0,W1,W2)) )
| aReductOfIn0(sk13(W0,W1,W2),W1,xR) ) )
| W1 = sk13(W0,W1,W2) )
& aElement0(sk13(W0,W1,W2)) )
| ~ aReductOfIn0(W2,W0,xR)
| ~ aReductOfIn0(W1,W0,xR)
| ~ aElement0(W2)
| ~ aElement0(W1)
| ~ aElement0(W0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk13,sk14,sk15])],[f15_nnf]) ).
cnf(c54,plain,
( sdtmndtasgtdt0(X2,xR,sk13(X0,X1,X2))
| ~ aReductOfIn0(X2,X0,xR)
| ~ aReductOfIn0(X1,X0,xR)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(hi49,axiom,
ifeq(aElement0(X0),true,ifeq(aElement0(X1),true,ifeq(aElement0(X2),true,ifeq(aReductOfIn0(X1,X0,xR),true,ifeq(aReductOfIn0(X2,X0,xR),true,sdtmndtasgtdt0(X2,xR,sk13(X0,X1,X2)),true),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c54]) ).
fof(f16,hypothesis,
( aElement0(xc)
& aElement0(xb)
& aElement0(xa) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__731) ).
fof(f16_nnf,plain,
( aElement0(xc)
& aElement0(xb)
& aElement0(xa) ),
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
( aElement0(xc)
& aElement0(xb)
& aElement0(xa) ),
inference(skolemisation,[status(esa)],[f16_nnf]) ).
cnf(c60,plain,
aElement0(xa),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(hi55,axiom,
aElement0(xa) = true,
inference(equality_encoding,[status(esa)],[c60]) ).
fof(f19,hypothesis,
( sdtmndtasgtdt0(xu,xR,xb)
& ( ( sdtmndtplgtdt0(xu,xR,xb)
& ( ? [W0] :
( sdtmndtplgtdt0(W0,xR,xb)
& aReductOfIn0(W0,xu,xR)
& aElement0(W0) )
| aReductOfIn0(xb,xu,xR) ) )
| xu = xb )
& aReductOfIn0(xu,xa,xR)
& aElement0(xu) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__755) ).
fof(f19_nnf,plain,
( sdtmndtasgtdt0(xu,xR,xb)
& ( ( sdtmndtplgtdt0(xu,xR,xb)
& ( ? [W0] :
( sdtmndtplgtdt0(W0,xR,xb)
& aReductOfIn0(W0,xu,xR)
& aElement0(W0) )
| aReductOfIn0(xb,xu,xR) ) )
| xu = xb )
& aReductOfIn0(xu,xa,xR)
& aElement0(xu) ),
inference(nnf_transformation,[status(thm)],[f19]) ).
fof(f19_sk,plain,
( sdtmndtasgtdt0(xu,xR,xb)
& ( ( sdtmndtplgtdt0(xu,xR,xb)
& ( ( sdtmndtplgtdt0(sk21,xR,xb)
& aReductOfIn0(sk21,xu,xR)
& aElement0(sk21) )
| aReductOfIn0(xb,xu,xR) ) )
| xu = xb )
& aReductOfIn0(xu,xa,xR)
& aElement0(xu) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk21])],[f19_nnf]) ).
cnf(c346,plain,
aElement0(xu),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(hi341,axiom,
aElement0(xu) = true,
inference(equality_encoding,[status(esa)],[c346]) ).
fof(f20,hypothesis,
( sdtmndtasgtdt0(xv,xR,xc)
& ( ( sdtmndtplgtdt0(xv,xR,xc)
& ( ? [W0] :
( sdtmndtplgtdt0(W0,xR,xc)
& aReductOfIn0(W0,xv,xR)
& aElement0(W0) )
| aReductOfIn0(xc,xv,xR) ) )
| xv = xc )
& aReductOfIn0(xv,xa,xR)
& aElement0(xv) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__779) ).
fof(f20_nnf,plain,
( sdtmndtasgtdt0(xv,xR,xc)
& ( ( sdtmndtplgtdt0(xv,xR,xc)
& ( ? [W0] :
( sdtmndtplgtdt0(W0,xR,xc)
& aReductOfIn0(W0,xv,xR)
& aElement0(W0) )
| aReductOfIn0(xc,xv,xR) ) )
| xv = xc )
& aReductOfIn0(xv,xa,xR)
& aElement0(xv) ),
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
( sdtmndtasgtdt0(xv,xR,xc)
& ( ( sdtmndtplgtdt0(xv,xR,xc)
& ( ( sdtmndtplgtdt0(sk22,xR,xc)
& aReductOfIn0(sk22,xv,xR)
& aElement0(sk22) )
| aReductOfIn0(xc,xv,xR) ) )
| xv = xc )
& aReductOfIn0(xv,xa,xR)
& aElement0(xv) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk22])],[f20_nnf]) ).
cnf(c353,plain,
aElement0(xv),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(hi348,axiom,
aElement0(xv) = true,
inference(equality_encoding,[status(esa)],[c353]) ).
cnf(c347,plain,
aReductOfIn0(xu,xa,xR),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(hi342,axiom,
aReductOfIn0(xu,xa,xR) = true,
inference(equality_encoding,[status(esa)],[c347]) ).
cnf(c354,plain,
aReductOfIn0(xv,xa,xR),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(hi349,axiom,
aReductOfIn0(xv,xa,xR) = true,
inference(equality_encoding,[status(esa)],[c354]) ).
cnf(h53,plain,
sdtmndtasgtdt0(xv,xR,sk13(xa,xu,xv)) = true,
inference(hyper_resolution,[status(thm)],[hi49,hi55,hi341,hi348,hi342,hi349]) ).
cnf(c49,plain,
( sdtmndtasgtdt0(X1,xR,sk13(X0,X1,X2))
| ~ aReductOfIn0(X2,X0,xR)
| ~ aReductOfIn0(X1,X0,xR)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(hi44,axiom,
ifeq(aElement0(X0),true,ifeq(aElement0(X1),true,ifeq(aElement0(X2),true,ifeq(aReductOfIn0(X1,X0,xR),true,ifeq(aReductOfIn0(X2,X0,xR),true,sdtmndtasgtdt0(X1,xR,sk13(X0,X1,X2)),true),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c49]) ).
cnf(h67,plain,
sdtmndtasgtdt0(xu,xR,sk13(xa,xu,xv)) = true,
inference(hyper_resolution,[status(thm)],[hi44,hi55,hi341,hi348,hi342,hi349]) ).
cnf(c44,plain,
( aElement0(sk13(X0,X1,X2))
| ~ aReductOfIn0(X2,X0,xR)
| ~ aReductOfIn0(X1,X0,xR)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(hi39,axiom,
ifeq(aElement0(X0),true,ifeq(aElement0(X1),true,ifeq(aElement0(X2),true,ifeq(aReductOfIn0(X1,X0,xR),true,ifeq(aReductOfIn0(X2,X0,xR),true,aElement0(sk13(X0,X1,X2)),true),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c44]) ).
cnf(h81,plain,
aElement0(sk13(xa,xu,xv)) = true,
inference(hyper_resolution,[status(thm)],[hi39,hi55,hi341,hi348,hi342,hi349]) ).
fof(f21,conjecture,
? [W0] :
( ( sdtmndtasgtdt0(xv,xR,W0)
| sdtmndtplgtdt0(xv,xR,W0)
| ? [W1] :
( sdtmndtplgtdt0(W1,xR,W0)
& aReductOfIn0(W1,xv,xR)
& aElement0(W1) )
| aReductOfIn0(W0,xv,xR)
| xv = W0 )
& ( sdtmndtasgtdt0(xu,xR,W0)
| sdtmndtplgtdt0(xu,xR,W0)
| ? [W1] :
( sdtmndtplgtdt0(W1,xR,W0)
& aReductOfIn0(W1,xu,xR)
& aElement0(W1) )
| aReductOfIn0(W0,xu,xR)
| xu = W0 )
& aElement0(W0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f21_neg,negated_conjecture,
~ ? [W0] :
( ( sdtmndtasgtdt0(xv,xR,W0)
| sdtmndtplgtdt0(xv,xR,W0)
| ? [W1] :
( sdtmndtplgtdt0(W1,xR,W0)
& aReductOfIn0(W1,xv,xR)
& aElement0(W1) )
| aReductOfIn0(W0,xv,xR)
| xv = W0 )
& ( sdtmndtasgtdt0(xu,xR,W0)
| sdtmndtplgtdt0(xu,xR,W0)
| ? [W1] :
( sdtmndtplgtdt0(W1,xR,W0)
& aReductOfIn0(W1,xu,xR)
& aElement0(W1) )
| aReductOfIn0(W0,xu,xR)
| xu = W0 )
& aElement0(W0) ),
inference(negated_conjecture,[status(cth)],[f21]) ).
fof(f21_nnf,plain,
! [W0] :
( ( ~ sdtmndtasgtdt0(xv,xR,W0)
& ~ sdtmndtplgtdt0(xv,xR,W0)
& ! [W1] :
( ~ sdtmndtplgtdt0(W1,xR,W0)
| ~ aReductOfIn0(W1,xv,xR)
| ~ aElement0(W1) )
& ~ aReductOfIn0(W0,xv,xR)
& xv != W0 )
| ( ~ sdtmndtasgtdt0(xu,xR,W0)
& ~ sdtmndtplgtdt0(xu,xR,W0)
& ! [W1] :
( ~ sdtmndtplgtdt0(W1,xR,W0)
| ~ aReductOfIn0(W1,xu,xR)
| ~ aElement0(W1) )
& ~ aReductOfIn0(W0,xu,xR)
& xu != W0 )
| ~ aElement0(W0) ),
inference(nnf_transformation,[status(thm)],[f21_neg]) ).
fof(f21_sk,plain,
! [W0,W1] :
( ( ~ sdtmndtasgtdt0(xv,xR,W0)
& ~ sdtmndtplgtdt0(xv,xR,W0)
& ( ~ sdtmndtplgtdt0(W1,xR,W0)
| ~ aReductOfIn0(W1,xv,xR)
| ~ aElement0(W1) )
& ~ aReductOfIn0(W0,xv,xR)
& xv != W0 )
| ( ~ sdtmndtasgtdt0(xu,xR,W0)
& ~ sdtmndtplgtdt0(xu,xR,W0)
& ( ~ sdtmndtplgtdt0(W1,xR,W0)
| ~ aReductOfIn0(W1,xu,xR)
| ~ aElement0(W1) )
& ~ aReductOfIn0(W0,xu,xR)
& xu != W0 )
| ~ aElement0(W0) ),
inference(skolemisation,[status(esa)],[f21_nnf]) ).
cnf(c384,plain,
( ~ sdtmndtasgtdt0(xv,xR,X0)
| ~ sdtmndtasgtdt0(xu,xR,X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(hi380,negated_conjecture,
ifeq(aElement0(X0),true,ifeq(sdtmndtasgtdt0(xu,xR,X0),true,ifeq(sdtmndtasgtdt0(xv,xR,X0),true,false,true),true),true) = true,
inference(equality_encoding,[status(esa)],[c384]) ).
cnf(t0,plain,
true = false,
inference(hyper_resolution,[status(thm)],[hi380,h81,h67,h53]) ).
cnf(t2775,plain,
false = true,
inference(orient,[status(thm)],[t0]) ).
fof(f12,definition,
! [W0,W1] :
( ( aRewritingSystem0(W1)
& aElement0(W0) )
=> ! [W2] :
( aNormalFormOfIn0(W2,W0,W1)
<=> ( ~ ? [W3] : aReductOfIn0(W3,W2,W1)
& sdtmndtasgtdt0(W0,W1,W2)
& aElement0(W2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNFRDef) ).
fof(f12_nnf,plain,
! [W0,W1] :
( ! [W2] :
( ( ? [W3] : aReductOfIn0(W3,W2,W1)
| ~ sdtmndtasgtdt0(W0,W1,W2)
| ~ aElement0(W2)
| aNormalFormOfIn0(W2,W0,W1) )
& ( ( ! [W3] : ~ aReductOfIn0(W3,W2,W1)
& sdtmndtasgtdt0(W0,W1,W2)
& aElement0(W2) )
| ~ aNormalFormOfIn0(W2,W0,W1) ) )
| ~ aRewritingSystem0(W1)
| ~ aElement0(W0) ),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
! [W0,W1,W2,W3] :
( ( ( aReductOfIn0(sk11(W0,W1,W2),W2,W1)
| ~ sdtmndtasgtdt0(W0,W1,W2)
| ~ aElement0(W2)
| aNormalFormOfIn0(W2,W0,W1) )
& ( ( ~ aReductOfIn0(W3,W2,W1)
& sdtmndtasgtdt0(W0,W1,W2)
& aElement0(W2) )
| ~ aNormalFormOfIn0(W2,W0,W1) ) )
| ~ aRewritingSystem0(W1)
| ~ aElement0(W0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk11])],[f12_nnf]) ).
cnf(c40,plain,
( ~ aReductOfIn0(X3,X2,X1)
| ~ aNormalFormOfIn0(X2,X0,X1)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(c360,plain,
( xv != X0
| xu != X0
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(c361,plain,
( ~ aReductOfIn0(X0,xv,xR)
| xu != X0
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(c362,plain,
( ~ sdtmndtplgtdt0(X1,xR,X0)
| ~ aReductOfIn0(X1,xv,xR)
| ~ aElement0(X1)
| xu != X0
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(c363,plain,
( ~ sdtmndtplgtdt0(xv,xR,X0)
| xu != X0
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(c364,plain,
( ~ sdtmndtasgtdt0(xv,xR,X0)
| xu != X0
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(c365,plain,
( xv != X0
| ~ aReductOfIn0(X0,xu,xR)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(c366,plain,
( ~ aReductOfIn0(X0,xv,xR)
| ~ aReductOfIn0(X0,xu,xR)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(c367,plain,
( ~ sdtmndtplgtdt0(X1,xR,X0)
| ~ aReductOfIn0(X1,xv,xR)
| ~ aElement0(X1)
| ~ aReductOfIn0(X0,xu,xR)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(c368,plain,
( ~ sdtmndtplgtdt0(xv,xR,X0)
| ~ aReductOfIn0(X0,xu,xR)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(c369,plain,
( ~ sdtmndtasgtdt0(xv,xR,X0)
| ~ aReductOfIn0(X0,xu,xR)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(c370,plain,
( xv != X0
| ~ sdtmndtplgtdt0(X1,xR,X0)
| ~ aReductOfIn0(X1,xu,xR)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(c371,plain,
( ~ aReductOfIn0(X0,xv,xR)
| ~ sdtmndtplgtdt0(X1,xR,X0)
| ~ aReductOfIn0(X1,xu,xR)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(c372,plain,
( ~ sdtmndtplgtdt0(X1,xR,X0)
| ~ aReductOfIn0(X1,xv,xR)
| ~ aElement0(X1)
| ~ sdtmndtplgtdt0(X1,xR,X0)
| ~ aReductOfIn0(X1,xu,xR)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(c373,plain,
( ~ sdtmndtplgtdt0(xv,xR,X0)
| ~ sdtmndtplgtdt0(X1,xR,X0)
| ~ aReductOfIn0(X1,xu,xR)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(c374,plain,
( ~ sdtmndtasgtdt0(xv,xR,X0)
| ~ sdtmndtplgtdt0(X1,xR,X0)
| ~ aReductOfIn0(X1,xu,xR)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(c375,plain,
( xv != X0
| ~ sdtmndtplgtdt0(xu,xR,X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(c376,plain,
( ~ aReductOfIn0(X0,xv,xR)
| ~ sdtmndtplgtdt0(xu,xR,X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(c377,plain,
( ~ sdtmndtplgtdt0(X1,xR,X0)
| ~ aReductOfIn0(X1,xv,xR)
| ~ aElement0(X1)
| ~ sdtmndtplgtdt0(xu,xR,X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(c378,plain,
( ~ sdtmndtplgtdt0(xv,xR,X0)
| ~ sdtmndtplgtdt0(xu,xR,X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(c379,plain,
( ~ sdtmndtasgtdt0(xv,xR,X0)
| ~ sdtmndtplgtdt0(xu,xR,X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(c380,plain,
( xv != X0
| ~ sdtmndtasgtdt0(xu,xR,X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(c381,plain,
( ~ aReductOfIn0(X0,xv,xR)
| ~ sdtmndtasgtdt0(xu,xR,X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(c382,plain,
( ~ sdtmndtplgtdt0(X1,xR,X0)
| ~ aReductOfIn0(X1,xv,xR)
| ~ aElement0(X1)
| ~ sdtmndtasgtdt0(xu,xR,X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(c383,plain,
( ~ sdtmndtplgtdt0(xv,xR,X0)
| ~ sdtmndtasgtdt0(xu,xR,X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c40,c360,c361,c362,c363,c364,c365,c366,c367,c368,c369,c370,c371,c372,c373,c374,c375,c376,c377,c378,c379,c380,c381,c382,c383,c384]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t2775]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM017+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.15/0.43 % Computer : n019.cluster.edu
% 0.15/0.43 % Model : x86_64 x86_64
% 0.15/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.43 % Memory : 8046.5625MB
% 0.15/0.43 % OS : Linux 6.8.0-71-generic
% 0.15/0.43 % CPULimit : 300
% 0.15/0.43 % WCLimit : 300
% 0.15/0.43 % DateTime : Fri Sep 25 07:49:35 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.43 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 69.51/9.24 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 69.51/9.24 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------