%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : NUM576+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n001.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 02:20:25 PM UTC 2026
% Result : Theorem 52.42s 7.08s
% Output : Proof 52.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 16
% Syntax : Number of formulae : 106 ( 63 unt; 2 def)
% Number of atoms : 242 ( 100 equ)
% Maximal formula atoms : 22 ( 2 avg)
% Number of connectives : 256 ( 120 ~; 80 |; 42 &)
% ( 3 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 8 con; 0-4 aty)
% Number of variables : 80 ( 3 sgn 44 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f84,conjecture,
( xi != xj
=> ( sdtlseqdt0(szszuzczcdt0(xi),xj)
| sdtlseqdt0(szszuzczcdt0(xj),xi) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f84_neg,negated_conjecture,
~ ( xi != xj
=> ( sdtlseqdt0(szszuzczcdt0(xi),xj)
| sdtlseqdt0(szszuzczcdt0(xj),xi) ) ),
inference(negated_conjecture,[status(cth)],[f84]) ).
fof(f84_nnf,plain,
( ~ sdtlseqdt0(szszuzczcdt0(xi),xj)
& ~ sdtlseqdt0(szszuzczcdt0(xj),xi)
& xi != xj ),
inference(nnf_transformation,[status(thm)],[f84_neg]) ).
fof(f84_sk,plain,
( ~ sdtlseqdt0(szszuzczcdt0(xi),xj)
& ~ sdtlseqdt0(szszuzczcdt0(xj),xi)
& xi != xj ),
inference(skolemisation,[status(esa)],[f84_nnf]) ).
cnf(c191,plain,
xi != xj,
inference(cnf_transformation,[status(esa)],[f84_sk]) ).
cnf(t22,plain,
eq(xi,xj) = false,
inference(equality_encoding,[status(esa)],[c191]) ).
cnf(t2964,plain,
eq(xi,xj) = false,
inference(orient,[status(thm)],[t22]) ).
fof(f34,axiom,
! [W0,W1] :
( ( aElementOf0(W1,szNzAzT0)
& aElementOf0(W0,szNzAzT0) )
=> ( ( sdtlseqdt0(W1,W0)
& sdtlseqdt0(W0,W1) )
=> W0 = W1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessASymm) ).
fof(f34_nnf,plain,
! [W0,W1] :
( W0 = W1
| ~ sdtlseqdt0(W1,W0)
| ~ sdtlseqdt0(W0,W1)
| ~ aElementOf0(W1,szNzAzT0)
| ~ aElementOf0(W0,szNzAzT0) ),
inference(nnf_transformation,[status(thm)],[f34]) ).
fof(f34_sk,plain,
! [W0,W1] :
( W0 = W1
| ~ sdtlseqdt0(W1,W0)
| ~ sdtlseqdt0(W0,W1)
| ~ aElementOf0(W1,szNzAzT0)
| ~ aElementOf0(W0,szNzAzT0) ),
inference(skolemisation,[status(esa)],[f34_nnf]) ).
cnf(c68,plain,
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[status(esa)],[f34_sk]) ).
cnf(t186,plain,
ifeq(aElementOf0(X1,szNzAzT0),true,ifeq(aElementOf0(X2,szNzAzT0),true,ifeq(sdtlseqdt0(X1,X2),true,ifeq(sdtlseqdt0(X2,X1),true,X1,X2),X2),X2),X2) = X2,
inference(equality_encoding,[status(esa)],[c68]) ).
cnf(t257,plain,
ifeq(aElementOf0(X1,szNzAzT0),true,ifeq(aElementOf0(X2,szNzAzT0),true,ifeq(sdtlseqdt0(X1,X2),true,ifeq(sdtlseqdt0(X2,X1),true,X1,X2),X2),X2),X2) = X2,
inference(orient,[status(thm)],[t186]) ).
fof(f36,axiom,
! [W0,W1] :
( ( aElementOf0(W1,szNzAzT0)
& aElementOf0(W0,szNzAzT0) )
=> ( sdtlseqdt0(szszuzczcdt0(W1),W0)
| sdtlseqdt0(W0,W1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessTotal) ).
fof(f36_nnf,plain,
! [W0,W1] :
( sdtlseqdt0(szszuzczcdt0(W1),W0)
| sdtlseqdt0(W0,W1)
| ~ aElementOf0(W1,szNzAzT0)
| ~ aElementOf0(W0,szNzAzT0) ),
inference(nnf_transformation,[status(thm)],[f36]) ).
fof(f36_sk,plain,
! [W0,W1] :
( sdtlseqdt0(szszuzczcdt0(W1),W0)
| sdtlseqdt0(W0,W1)
| ~ aElementOf0(W1,szNzAzT0)
| ~ aElementOf0(W0,szNzAzT0) ),
inference(skolemisation,[status(esa)],[f36_nnf]) ).
cnf(c70,plain,
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[status(esa)],[f36_sk]) ).
cnf(t160,plain,
ifeq(aElementOf0(X1,szNzAzT0),true,ifeq(aElementOf0(X2,szNzAzT0),true,or(sdtlseqdt0(X1,X2),sdtlseqdt0(szszuzczcdt0(X2),X1)),true),true) = true,
inference(equality_encoding,[status(esa)],[c70]) ).
cnf(t298,plain,
ifeq(aElementOf0(X1,szNzAzT0),true,ifeq(aElementOf0(X2,szNzAzT0),true,or(sdtlseqdt0(X1,X2),sdtlseqdt0(szszuzczcdt0(X2),X1)),true),true) = true,
inference(orient,[status(thm)],[t160]) ).
cnf(c192,plain,
~ sdtlseqdt0(szszuzczcdt0(xj),xi),
inference(cnf_transformation,[status(esa)],[f84_sk]) ).
cnf(t56,plain,
sdtlseqdt0(szszuzczcdt0(xj),xi) = false,
inference(equality_encoding,[status(esa)],[c192]) ).
cnf(t2987,plain,
sdtlseqdt0(szszuzczcdt0(xj),xi) = false,
inference(orient,[status(thm)],[t56]) ).
cnf(t2992,plain,
true = ifeq(aElementOf0(xi,szNzAzT0),true,ifeq(aElementOf0(xj,szNzAzT0),true,or(sdtlseqdt0(xi,xj),false),true),true),
inference(cp,[status(thm)],[t298,t2987]) ).
fof(f83,hypothesis,
( aElementOf0(xj,szNzAzT0)
& aElementOf0(xi,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3856) ).
fof(f83_nnf,plain,
( aElementOf0(xj,szNzAzT0)
& aElementOf0(xi,szNzAzT0) ),
inference(nnf_transformation,[status(thm)],[f83]) ).
fof(f83_sk,plain,
( aElementOf0(xj,szNzAzT0)
& aElementOf0(xi,szNzAzT0) ),
inference(skolemisation,[status(esa)],[f83_nnf]) ).
cnf(c189,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[status(esa)],[f83_sk]) ).
cnf(t15,plain,
aElementOf0(xi,szNzAzT0) = true,
inference(equality_encoding,[status(esa)],[c189]) ).
cnf(t903,plain,
aElementOf0(xi,szNzAzT0) = true,
inference(orient,[status(thm)],[t15]) ).
cnf(t4021,plain,
true = ifeq(true,true,ifeq(aElementOf0(xj,szNzAzT0),true,or(sdtlseqdt0(xi,xj),false),true),true),
inference(step,[status(thm)],[t2992,t903]) ).
cnf(t64,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t256,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t64]) ).
cnf(t4022,plain,
true = ifeq(aElementOf0(xj,szNzAzT0),true,or(sdtlseqdt0(xi,xj),false),true),
inference(step,[status(thm)],[t4021,t256]) ).
cnf(c190,plain,
aElementOf0(xj,szNzAzT0),
inference(cnf_transformation,[status(esa)],[f83_sk]) ).
cnf(t16,plain,
aElementOf0(xj,szNzAzT0) = true,
inference(equality_encoding,[status(esa)],[c190]) ).
cnf(t1013,plain,
aElementOf0(xj,szNzAzT0) = true,
inference(orient,[status(thm)],[t16]) ).
cnf(t4023,plain,
true = ifeq(true,true,or(sdtlseqdt0(xi,xj),false),true),
inference(step,[status(thm)],[t4022,t1013]) ).
cnf(t4024,plain,
true = or(sdtlseqdt0(xi,xj),false),
inference(step,[status(thm)],[t4023,t256]) ).
cnf(t28,plain,
or(X1,false) = X1,
introduced(definition) ).
cnf(t273,plain,
or(X1,false) = X1,
inference(orient,[status(thm)],[t28]) ).
cnf(t4025,plain,
true = sdtlseqdt0(xi,xj),
inference(step,[status(thm)],[t4024,t273]) ).
cnf(t3919,plain,
sdtlseqdt0(xi,xj) = true,
inference(orient,[status(thm)],[t4025]) ).
cnf(t3920,plain,
xj = ifeq(aElementOf0(xi,szNzAzT0),true,ifeq(aElementOf0(xj,szNzAzT0),true,ifeq(true,true,ifeq(sdtlseqdt0(xj,xi),true,xi,xj),xj),xj),xj),
inference(cp,[status(thm)],[t257,t3919]) ).
cnf(t4026,plain,
xj = ifeq(true,true,ifeq(aElementOf0(xj,szNzAzT0),true,ifeq(true,true,ifeq(sdtlseqdt0(xj,xi),true,xi,xj),xj),xj),xj),
inference(step,[status(thm)],[t3920,t903]) ).
cnf(t4027,plain,
xj = ifeq(aElementOf0(xj,szNzAzT0),true,ifeq(true,true,ifeq(sdtlseqdt0(xj,xi),true,xi,xj),xj),xj),
inference(step,[status(thm)],[t4026,t256]) ).
cnf(t4028,plain,
xj = ifeq(true,true,ifeq(true,true,ifeq(sdtlseqdt0(xj,xi),true,xi,xj),xj),xj),
inference(step,[status(thm)],[t4027,t1013]) ).
cnf(t4029,plain,
xj = ifeq(true,true,ifeq(sdtlseqdt0(xj,xi),true,xi,xj),xj),
inference(step,[status(thm)],[t4028,t256]) ).
cnf(t4030,plain,
xj = ifeq(sdtlseqdt0(xj,xi),true,xi,xj),
inference(step,[status(thm)],[t4029,t256]) ).
cnf(c193,plain,
~ sdtlseqdt0(szszuzczcdt0(xi),xj),
inference(cnf_transformation,[status(esa)],[f84_sk]) ).
cnf(t55,plain,
sdtlseqdt0(szszuzczcdt0(xi),xj) = false,
inference(equality_encoding,[status(esa)],[c193]) ).
cnf(t2969,plain,
sdtlseqdt0(szszuzczcdt0(xi),xj) = false,
inference(orient,[status(thm)],[t55]) ).
cnf(t2974,plain,
true = ifeq(aElementOf0(xj,szNzAzT0),true,ifeq(aElementOf0(xi,szNzAzT0),true,or(sdtlseqdt0(xj,xi),false),true),true),
inference(cp,[status(thm)],[t298,t2969]) ).
cnf(t4016,plain,
true = ifeq(true,true,ifeq(aElementOf0(xi,szNzAzT0),true,or(sdtlseqdt0(xj,xi),false),true),true),
inference(step,[status(thm)],[t2974,t1013]) ).
cnf(t4017,plain,
true = ifeq(aElementOf0(xi,szNzAzT0),true,or(sdtlseqdt0(xj,xi),false),true),
inference(step,[status(thm)],[t4016,t256]) ).
cnf(t4018,plain,
true = ifeq(true,true,or(sdtlseqdt0(xj,xi),false),true),
inference(step,[status(thm)],[t4017,t903]) ).
cnf(t4019,plain,
true = or(sdtlseqdt0(xj,xi),false),
inference(step,[status(thm)],[t4018,t256]) ).
cnf(t4020,plain,
true = sdtlseqdt0(xj,xi),
inference(step,[status(thm)],[t4019,t273]) ).
cnf(t3906,plain,
sdtlseqdt0(xj,xi) = true,
inference(orient,[status(thm)],[t4020]) ).
cnf(t4031,plain,
xj = ifeq(true,true,xi,xj),
inference(step,[status(thm)],[t4030,t3906]) ).
cnf(t4032,plain,
xj = xi,
inference(step,[status(thm)],[t4031,t256]) ).
cnf(t3932,plain,
xi = xj,
inference(orient,[status(thm)],[t4032]) ).
cnf(t4033,plain,
eq(xj,xj) = false,
inference(step,[status(thm)],[t2964,t3932]) ).
cnf(t19,plain,
eq(X1,X1) = true,
introduced(definition) ).
cnf(t1894,plain,
eq(X1,X1) = true,
inference(orient,[status(thm)],[t19]) ).
cnf(t4034,plain,
true = false,
inference(step,[status(thm)],[t4033,t1894]) ).
cnf(t3933,plain,
true = false,
inference(rw,[status(thm)],[t4034]) ).
cnf(t3938,plain,
false = true,
inference(orient,[status(thm)],[t3933]) ).
fof(f4,definition,
! [W0] :
( W0 = slcrc0
<=> ( ~ ? [W1] : aElementOf0(W1,W0)
& aSet0(W0) ) ),
file('/export/starexec/sandbox/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(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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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]) ).
fof(f30,axiom,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ~ sdtlseqdt0(szszuzczcdt0(W0),sz00) ),
file('/export/starexec/sandbox/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]) ).
fof(f77,hypothesis,
xK != sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3462) ).
fof(f77_nnf,plain,
xK != sz00,
inference(nnf_transformation,[status(thm)],[f77]) ).
fof(f77_sk,plain,
xK != sz00,
inference(skolemisation,[status(esa)],[f77_nnf]) ).
cnf(c177,plain,
xK != sz00,
inference(cnf_transformation,[status(esa)],[f77_sk]) ).
fof(f78,hypothesis,
xK != sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3520) ).
fof(f78_nnf,plain,
xK != sz00,
inference(nnf_transformation,[status(thm)],[f78]) ).
fof(f78_sk,plain,
xK != sz00,
inference(skolemisation,[status(esa)],[f78_nnf]) ).
cnf(c178,plain,
xK != sz00,
inference(cnf_transformation,[status(esa)],[f78_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c5,c9,c10,c36,c56,c60,c63,c177,c178,c191,c192,c193]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t3938]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM576+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n001.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 04:48:36 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 52.42/7.08 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 52.42/7.08 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------