%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : NUM540+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n015.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 02:20:18 PM UTC 2026
% Result : Theorem 70.40s 10.10s
% Output : Proof 70.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 15
% Syntax : Number of formulae : 99 ( 64 unt; 3 def)
% Number of atoms : 243 ( 103 equ)
% Maximal formula atoms : 22 ( 2 avg)
% Number of connectives : 257 ( 113 ~; 84 |; 48 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 5 con; 0-4 aty)
% Number of variables : 102 ( 3 sgn 41 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f49,definition,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ! [W1] :
( W1 = slbdtrb0(W0)
<=> ( ! [W2] :
( aElementOf0(W2,W1)
<=> ( sdtlseqdt0(szszuzczcdt0(W2),W0)
& aElementOf0(W2,szNzAzT0) ) )
& aSet0(W1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSeg) ).
fof(f49_nnf,plain,
! [W0] :
( ! [W1] :
( ( ? [W2] :
( ( sdtlseqdt0(szszuzczcdt0(W2),W0)
& aElementOf0(W2,szNzAzT0)
& ~ aElementOf0(W2,W1) )
| ( ( ~ sdtlseqdt0(szszuzczcdt0(W2),W0)
| ~ aElementOf0(W2,szNzAzT0) )
& aElementOf0(W2,W1) ) )
| ~ aSet0(W1)
| W1 = slbdtrb0(W0) )
& ( ( ! [W2] :
( ( ~ sdtlseqdt0(szszuzczcdt0(W2),W0)
| ~ aElementOf0(W2,szNzAzT0)
| aElementOf0(W2,W1) )
& ( ( sdtlseqdt0(szszuzczcdt0(W2),W0)
& aElementOf0(W2,szNzAzT0) )
| ~ aElementOf0(W2,W1) ) )
& aSet0(W1) )
| W1 != slbdtrb0(W0) ) )
| ~ aElementOf0(W0,szNzAzT0) ),
inference(nnf_transformation,[status(thm)],[f49]) ).
fof(f49_sk,plain,
! [W0,W1,W2] :
( ( ( ( sdtlseqdt0(szszuzczcdt0(sk8(W0,W1)),W0)
& aElementOf0(sk8(W0,W1),szNzAzT0)
& ~ aElementOf0(sk8(W0,W1),W1) )
| ( ( ~ sdtlseqdt0(szszuzczcdt0(sk8(W0,W1)),W0)
| ~ aElementOf0(sk8(W0,W1),szNzAzT0) )
& aElementOf0(sk8(W0,W1),W1) )
| ~ aSet0(W1)
| W1 = slbdtrb0(W0) )
& ( ( ( ~ sdtlseqdt0(szszuzczcdt0(W2),W0)
| ~ aElementOf0(W2,szNzAzT0)
| aElementOf0(W2,W1) )
& ( ( sdtlseqdt0(szszuzczcdt0(W2),W0)
& aElementOf0(W2,szNzAzT0) )
| ~ aElementOf0(W2,W1) )
& aSet0(W1) )
| W1 != slbdtrb0(W0) ) )
| ~ aElementOf0(W0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk8])],[f49_nnf]) ).
cnf(c94,plain,
( sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,X1)
| X1 != slbdtrb0(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[status(esa)],[f49_sk]) ).
cnf(t214,plain,
ifeq(aElementOf0(X1,szNzAzT0),true,ifeq(X2,slbdtrb0(X1),ifeq(aElementOf0(X3,X2),true,sdtlseqdt0(szszuzczcdt0(X3),X1),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c94]) ).
cnf(t291,plain,
ifeq(aElementOf0(X1,szNzAzT0),true,ifeq(X2,slbdtrb0(X1),ifeq(aElementOf0(X3,X2),true,sdtlseqdt0(szszuzczcdt0(X3),X1),true),true),true) = true,
inference(orient,[status(thm)],[t214]) ).
cnf(t29,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t258,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t29]) ).
cnf(t292,plain,
true = ifeq(aElementOf0(X1,szNzAzT0),true,ifeq(aElementOf0(X2,slbdtrb0(X1)),true,sdtlseqdt0(szszuzczcdt0(X2),X1),true),true),
inference(cp,[status(thm)],[t291,t258]) ).
cnf(t5909,plain,
ifeq(aElementOf0(X1,szNzAzT0),true,ifeq(aElementOf0(X2,slbdtrb0(X1)),true,sdtlseqdt0(szszuzczcdt0(X2),X1),true),true) = true,
inference(orient,[status(thm)],[t292]) ).
fof(f4,definition,
! [W0] :
( W0 = slcrc0
<=> ( ~ ? [W1] : aElementOf0(W1,W0)
& aSet0(W0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).
fof(f4_nnf,plain,
! [W0] :
( ( ? [W1] : aElementOf0(W1,W0)
| ~ aSet0(W0)
| W0 = slcrc0 )
& ( ( ! [W1] : ~ aElementOf0(W1,W0)
& aSet0(W0) )
| W0 != slcrc0 ) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [W0,W1] :
( ( aElementOf0(sk0(W0),W0)
| ~ aSet0(W0)
| W0 = slcrc0 )
& ( ( ~ aElementOf0(W1,W0)
& aSet0(W0) )
| W0 != slcrc0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f4_nnf]) ).
cnf(c6,plain,
( aElementOf0(sk0(X0),X0)
| ~ aSet0(X0)
| X0 = slcrc0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(t168,plain,
ifeq(aSet0(X1),true,or(eq(X1,slcrc0),aElementOf0(sk0(X1),X1)),true) = true,
inference(equality_encoding,[status(esa)],[c6]) ).
cnf(t312,plain,
ifeq(aSet0(X1),true,or(eq(X1,slcrc0),aElementOf0(sk0(X1),X1)),true) = true,
inference(orient,[status(thm)],[t168]) ).
fof(f51,conjecture,
slbdtrb0(sz00) = slcrc0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f51_neg,negated_conjecture,
slbdtrb0(sz00) != slcrc0,
inference(negated_conjecture,[status(cth)],[f51]) ).
fof(f51_nnf,plain,
slbdtrb0(sz00) != slcrc0,
inference(nnf_transformation,[status(thm)],[f51_neg]) ).
fof(f51_sk,plain,
slbdtrb0(sz00) != slcrc0,
inference(skolemisation,[status(esa)],[f51_nnf]) ).
cnf(c103,plain,
slbdtrb0(sz00) != slcrc0,
inference(cnf_transformation,[status(esa)],[f51_sk]) ).
cnf(t17,plain,
eq(slbdtrb0(sz00),slcrc0) = false,
inference(equality_encoding,[status(esa)],[c103]) ).
cnf(t2465,plain,
eq(slbdtrb0(sz00),slcrc0) = false,
inference(orient,[status(thm)],[t17]) ).
cnf(t2468,plain,
true = ifeq(aSet0(slbdtrb0(sz00)),true,or(false,aElementOf0(sk0(slbdtrb0(sz00)),slbdtrb0(sz00))),true),
inference(cp,[status(thm)],[t312,t2465]) ).
cnf(c92,plain,
( aSet0(X1)
| X1 != slbdtrb0(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[status(esa)],[f49_sk]) ).
cnf(hi70,axiom,
ifeq(aElementOf0(X0,szNzAzT0),true,ifeq(X1,slbdtrb0(X0),aSet0(X1),true),true) = true,
inference(equality_encoding,[status(esa)],[c92]) ).
fof(f23,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroNum) ).
fof(f23_nnf,plain,
aElementOf0(sz00,szNzAzT0),
inference(nnf_transformation,[status(thm)],[f23]) ).
cnf(c54,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[status(esa)],[f23_nnf]) ).
cnf(hi37,axiom,
aElementOf0(sz00,szNzAzT0) = true,
inference(equality_encoding,[status(esa)],[c54]) ).
cnf(hi96,axiom,
or(false,X0) = X0,
introduced(definition) ).
cnf(t27,plain,
aSet0(or(false,slbdtrb0(sz00))) = true,
inference(hyper_resolution,[status(thm)],[hi70,hi37,hi96]) ).
cnf(t10,plain,
or(false,X1) = X1,
introduced(definition) ).
cnf(t257,plain,
or(false,X1) = X1,
inference(orient,[status(thm)],[t10]) ).
cnf(t6036,plain,
aSet0(slbdtrb0(sz00)) = true,
inference(step,[status(thm)],[t27,t257]) ).
cnf(t1107,plain,
aSet0(slbdtrb0(sz00)) = true,
inference(orient,[status(thm)],[t6036]) ).
cnf(t6164,plain,
true = ifeq(true,true,or(false,aElementOf0(sk0(slbdtrb0(sz00)),slbdtrb0(sz00))),true),
inference(step,[status(thm)],[t2468,t1107]) ).
cnf(t6165,plain,
true = or(false,aElementOf0(sk0(slbdtrb0(sz00)),slbdtrb0(sz00))),
inference(step,[status(thm)],[t6164,t258]) ).
cnf(t6166,plain,
true = aElementOf0(sk0(slbdtrb0(sz00)),slbdtrb0(sz00)),
inference(step,[status(thm)],[t6165,t257]) ).
cnf(t3408,plain,
aElementOf0(sk0(slbdtrb0(sz00)),slbdtrb0(sz00)) = true,
inference(orient,[status(thm)],[t6166]) ).
cnf(t5934,plain,
true = ifeq(aElementOf0(sz00,szNzAzT0),true,ifeq(true,true,sdtlseqdt0(szszuzczcdt0(sk0(slbdtrb0(sz00))),sz00),true),true),
inference(cp,[status(thm)],[t5909,t3408]) ).
cnf(t5,plain,
aElementOf0(sz00,szNzAzT0) = true,
inference(equality_encoding,[status(esa)],[c54]) ).
cnf(t595,plain,
aElementOf0(sz00,szNzAzT0) = true,
inference(orient,[status(thm)],[t5]) ).
cnf(t6427,plain,
true = ifeq(true,true,ifeq(true,true,sdtlseqdt0(szszuzczcdt0(sk0(slbdtrb0(sz00))),sz00),true),true),
inference(step,[status(thm)],[t5934,t595]) ).
cnf(t6428,plain,
true = ifeq(true,true,sdtlseqdt0(szszuzczcdt0(sk0(slbdtrb0(sz00))),sz00),true),
inference(step,[status(thm)],[t6427,t258]) ).
cnf(t6429,plain,
true = sdtlseqdt0(szszuzczcdt0(sk0(slbdtrb0(sz00))),sz00),
inference(step,[status(thm)],[t6428,t258]) ).
cnf(t44,plain,
ifeq(not(X1),true,X1,false) = false,
introduced(definition) ).
cnf(t2354,plain,
ifeq(not(X1),true,X1,false) = false,
inference(orient,[status(thm)],[t44]) ).
fof(f30,axiom,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ~ sdtlseqdt0(szszuzczcdt0(W0),sz00) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNoScLessZr) ).
fof(f30_nnf,plain,
! [W0] :
( ~ sdtlseqdt0(szszuzczcdt0(W0),sz00)
| ~ aElementOf0(W0,szNzAzT0) ),
inference(nnf_transformation,[status(thm)],[f30]) ).
fof(f30_sk,plain,
! [W0] :
( ~ sdtlseqdt0(szszuzczcdt0(W0),sz00)
| ~ aElementOf0(W0,szNzAzT0) ),
inference(skolemisation,[status(esa)],[f30_nnf]) ).
cnf(c63,plain,
( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[status(esa)],[f30_sk]) ).
cnf(t137,plain,
or(not(aElementOf0(X1,szNzAzT0)),not(sdtlseqdt0(szszuzczcdt0(X1),sz00))) = true,
inference(equality_encoding,[status(esa)],[c63]) ).
cnf(t278,plain,
or(not(aElementOf0(X1,szNzAzT0)),not(sdtlseqdt0(szszuzczcdt0(X1),sz00))) = true,
inference(orient,[status(thm)],[t137]) ).
cnf(c93,plain,
( aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,X1)
| X1 != slbdtrb0(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[status(esa)],[f49_sk]) ).
cnf(t210,plain,
ifeq(aElementOf0(X1,szNzAzT0),true,ifeq(X2,slbdtrb0(X1),ifeq(aElementOf0(X3,X2),true,aElementOf0(X3,szNzAzT0),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c93]) ).
cnf(t289,plain,
ifeq(aElementOf0(X1,szNzAzT0),true,ifeq(X2,slbdtrb0(X1),ifeq(aElementOf0(X3,X2),true,aElementOf0(X3,szNzAzT0),true),true),true) = true,
inference(orient,[status(thm)],[t210]) ).
cnf(t290,plain,
true = ifeq(aElementOf0(X1,szNzAzT0),true,ifeq(aElementOf0(X2,slbdtrb0(X1)),true,aElementOf0(X2,szNzAzT0),true),true),
inference(cp,[status(thm)],[t289,t258]) ).
cnf(t4417,plain,
ifeq(aElementOf0(X1,szNzAzT0),true,ifeq(aElementOf0(X2,slbdtrb0(X1)),true,aElementOf0(X2,szNzAzT0),true),true) = true,
inference(orient,[status(thm)],[t290]) ).
cnf(t4430,plain,
true = ifeq(aElementOf0(sz00,szNzAzT0),true,ifeq(true,true,aElementOf0(sk0(slbdtrb0(sz00)),szNzAzT0),true),true),
inference(cp,[status(thm)],[t4417,t3408]) ).
cnf(t6298,plain,
true = ifeq(true,true,ifeq(true,true,aElementOf0(sk0(slbdtrb0(sz00)),szNzAzT0),true),true),
inference(step,[status(thm)],[t4430,t595]) ).
cnf(t6299,plain,
true = ifeq(true,true,aElementOf0(sk0(slbdtrb0(sz00)),szNzAzT0),true),
inference(step,[status(thm)],[t6298,t258]) ).
cnf(t6300,plain,
true = aElementOf0(sk0(slbdtrb0(sz00)),szNzAzT0),
inference(step,[status(thm)],[t6299,t258]) ).
cnf(t4443,plain,
aElementOf0(sk0(slbdtrb0(sz00)),szNzAzT0) = true,
inference(orient,[status(thm)],[t6300]) ).
cnf(t4466,plain,
true = or(not(true),not(sdtlseqdt0(szszuzczcdt0(sk0(slbdtrb0(sz00))),sz00))),
inference(cp,[status(thm)],[t278,t4443]) ).
cnf(t4,plain,
not(true) = false,
introduced(definition) ).
cnf(t2480,plain,
not(true) = false,
inference(orient,[status(thm)],[t4]) ).
cnf(t6403,plain,
true = or(false,not(sdtlseqdt0(szszuzczcdt0(sk0(slbdtrb0(sz00))),sz00))),
inference(step,[status(thm)],[t4466,t2480]) ).
cnf(t6404,plain,
true = not(sdtlseqdt0(szszuzczcdt0(sk0(slbdtrb0(sz00))),sz00)),
inference(step,[status(thm)],[t6403,t257]) ).
cnf(t5591,plain,
not(sdtlseqdt0(szszuzczcdt0(sk0(slbdtrb0(sz00))),sz00)) = true,
inference(orient,[status(thm)],[t6404]) ).
cnf(t5592,plain,
false = ifeq(true,true,sdtlseqdt0(szszuzczcdt0(sk0(slbdtrb0(sz00))),sz00),false),
inference(cp,[status(thm)],[t2354,t5591]) ).
cnf(t6405,plain,
false = sdtlseqdt0(szszuzczcdt0(sk0(slbdtrb0(sz00))),sz00),
inference(step,[status(thm)],[t5592,t258]) ).
cnf(t5593,plain,
sdtlseqdt0(szszuzczcdt0(sk0(slbdtrb0(sz00))),sz00) = false,
inference(orient,[status(thm)],[t6405]) ).
cnf(t6430,plain,
true = false,
inference(step,[status(thm)],[t6429,t5593]) ).
cnf(t5952,plain,
false = true,
inference(orient,[status(thm)],[t6430]) ).
cnf(c5,plain,
( ~ aElementOf0(X1,X0)
| X0 != slcrc0 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
fof(f7,axiom,
! [W0] :
( ( isCountable0(W0)
& aSet0(W0) )
=> ~ isFinite0(W0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCountNFin) ).
fof(f7_nnf,plain,
! [W0] :
( ~ isFinite0(W0)
| ~ isCountable0(W0)
| ~ aSet0(W0) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [W0] :
( ~ isFinite0(W0)
| ~ isCountable0(W0)
| ~ aSet0(W0) ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c9,plain,
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
fof(f8,axiom,
! [W0] :
( ( isCountable0(W0)
& aSet0(W0) )
=> W0 != slcrc0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCountNFin_01) ).
fof(f8_nnf,plain,
! [W0] :
( W0 != slcrc0
| ~ isCountable0(W0)
| ~ aSet0(W0) ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
! [W0] :
( W0 != slcrc0
| ~ isCountable0(W0)
| ~ aSet0(W0) ),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c10,plain,
( X0 != slcrc0
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
fof(f15,definition,
! [W0,W1] :
( ( aElement0(W1)
& aSet0(W0) )
=> ! [W2] :
( W2 = sdtmndt0(W0,W1)
<=> ( ! [W3] :
( aElementOf0(W3,W2)
<=> ( W3 != W1
& aElementOf0(W3,W0)
& aElement0(W3) ) )
& aSet0(W2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).
fof(f15_nnf,plain,
! [W0,W1] :
( ! [W2] :
( ( ? [W3] :
( ( W3 != W1
& aElementOf0(W3,W0)
& aElement0(W3)
& ~ aElementOf0(W3,W2) )
| ( ( W3 = W1
| ~ aElementOf0(W3,W0)
| ~ aElement0(W3) )
& aElementOf0(W3,W2) ) )
| ~ aSet0(W2)
| W2 = sdtmndt0(W0,W1) )
& ( ( ! [W3] :
( ( W3 = W1
| ~ aElementOf0(W3,W0)
| ~ aElement0(W3)
| aElementOf0(W3,W2) )
& ( ( W3 != W1
& aElementOf0(W3,W0)
& aElement0(W3) )
| ~ aElementOf0(W3,W2) ) )
& aSet0(W2) )
| W2 != sdtmndt0(W0,W1) ) )
| ~ aElement0(W1)
| ~ aSet0(W0) ),
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
! [W0,W1,W2,W3] :
( ( ( ( sk3(W0,W1,W2) != W1
& aElementOf0(sk3(W0,W1,W2),W0)
& aElement0(sk3(W0,W1,W2))
& ~ aElementOf0(sk3(W0,W1,W2),W2) )
| ( ( sk3(W0,W1,W2) = W1
| ~ aElementOf0(sk3(W0,W1,W2),W0)
| ~ aElement0(sk3(W0,W1,W2)) )
& aElementOf0(sk3(W0,W1,W2),W2) )
| ~ aSet0(W2)
| W2 = sdtmndt0(W0,W1) )
& ( ( ( W3 = W1
| ~ aElementOf0(W3,W0)
| ~ aElement0(W3)
| aElementOf0(W3,W2) )
& ( ( W3 != W1
& aElementOf0(W3,W0)
& aElement0(W3) )
| ~ aElementOf0(W3,W2) )
& aSet0(W2) )
| W2 != sdtmndt0(W0,W1) ) )
| ~ aElement0(W1)
| ~ aSet0(W0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk3])],[f15_nnf]) ).
cnf(c36,plain,
( X3 != X1
| ~ aElementOf0(X3,X2)
| X2 != sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
fof(f24,axiom,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( szszuzczcdt0(W0) != sz00
& aElementOf0(szszuzczcdt0(W0),szNzAzT0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccNum) ).
fof(f24_nnf,plain,
! [W0] :
( ( szszuzczcdt0(W0) != sz00
& aElementOf0(szszuzczcdt0(W0),szNzAzT0) )
| ~ aElementOf0(W0,szNzAzT0) ),
inference(nnf_transformation,[status(thm)],[f24]) ).
fof(f24_sk,plain,
! [W0] :
( ( szszuzczcdt0(W0) != sz00
& aElementOf0(szszuzczcdt0(W0),szNzAzT0) )
| ~ aElementOf0(W0,szNzAzT0) ),
inference(skolemisation,[status(esa)],[f24_nnf]) ).
cnf(c56,plain,
( szszuzczcdt0(X0) != sz00
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[status(esa)],[f24_sk]) ).
fof(f27,axiom,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> W0 != szszuzczcdt0(W0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatNSucc) ).
fof(f27_nnf,plain,
! [W0] :
( W0 != szszuzczcdt0(W0)
| ~ aElementOf0(W0,szNzAzT0) ),
inference(nnf_transformation,[status(thm)],[f27]) ).
fof(f27_sk,plain,
! [W0] :
( W0 != szszuzczcdt0(W0)
| ~ aElementOf0(W0,szNzAzT0) ),
inference(skolemisation,[status(esa)],[f27_nnf]) ).
cnf(c60,plain,
( X0 != szszuzczcdt0(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[status(esa)],[f27_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c5,c9,c10,c36,c56,c60,c63,c103]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t5952]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM540+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.36 % Computer : n015.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 04:34:40 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 70.40/10.10 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 70.40/10.10 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------