%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : NUM576+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n014.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 32.61s 4.65s
% Output : Proof 32.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 18
% Syntax : Number of formulae : 126 ( 63 unt; 2 def)
% Number of atoms : 481 ( 135 equ)
% Maximal formula atoms : 44 ( 3 avg)
% Number of connectives : 584 ( 229 ~; 167 |; 153 &)
% ( 5 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 1 prp; 0-4 aty)
% Number of functors : 33 ( 33 usr; 11 con; 0-4 aty)
% Number of variables : 172 ( 8 sgn 81 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f84,conjecture,
( xi != xj
=> ( sdtlseqdt0(szszuzczcdt0(xi),xj)
| sdtlseqdt0(szszuzczcdt0(xj),xi) ) ),
file('/export/starexec/sandbox2/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(c365,plain,
xi != xj,
inference(cnf_transformation,[status(esa)],[f84_sk]) ).
cnf(t21,plain,
eq(xi,xj) = false,
inference(equality_encoding,[status(esa)],[c365]) ).
cnf(t1618,plain,
eq(xi,xj) = false,
inference(orient,[status(thm)],[t21]) ).
fof(f34,axiom,
! [W0,W1] :
( ( aElementOf0(W1,szNzAzT0)
& aElementOf0(W0,szNzAzT0) )
=> ( ( sdtlseqdt0(W1,W0)
& sdtlseqdt0(W0,W1) )
=> W0 = W1 ) ),
file('/export/starexec/sandbox2/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(t157,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(t171,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)],[t157]) ).
fof(f36,axiom,
! [W0,W1] :
( ( aElementOf0(W1,szNzAzT0)
& aElementOf0(W0,szNzAzT0) )
=> ( sdtlseqdt0(szszuzczcdt0(W1),W0)
| sdtlseqdt0(W0,W1) ) ),
file('/export/starexec/sandbox2/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(t144,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(t195,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)],[t144]) ).
cnf(c367,plain,
~ sdtlseqdt0(szszuzczcdt0(xi),xj),
inference(cnf_transformation,[status(esa)],[f84_sk]) ).
cnf(t40,plain,
sdtlseqdt0(szszuzczcdt0(xi),xj) = false,
inference(equality_encoding,[status(esa)],[c367]) ).
cnf(t1603,plain,
sdtlseqdt0(szszuzczcdt0(xi),xj) = false,
inference(orient,[status(thm)],[t40]) ).
cnf(t1607,plain,
true = ifeq(aElementOf0(xj,szNzAzT0),true,ifeq(aElementOf0(xi,szNzAzT0),true,or(sdtlseqdt0(xj,xi),false),true),true),
inference(cp,[status(thm)],[t195,t1603]) ).
fof(f83,hypothesis,
( aElementOf0(xj,szNzAzT0)
& aElementOf0(xi,szNzAzT0) ),
file('/export/starexec/sandbox2/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(c364,plain,
aElementOf0(xj,szNzAzT0),
inference(cnf_transformation,[status(esa)],[f83_sk]) ).
cnf(t15,plain,
aElementOf0(xj,szNzAzT0) = true,
inference(equality_encoding,[status(esa)],[c364]) ).
cnf(t240,plain,
aElementOf0(xj,szNzAzT0) = true,
inference(orient,[status(thm)],[t15]) ).
cnf(t1734,plain,
true = ifeq(true,true,ifeq(aElementOf0(xi,szNzAzT0),true,or(sdtlseqdt0(xj,xi),false),true),true),
inference(step,[status(thm)],[t1607,t240]) ).
cnf(t64,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t168,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t64]) ).
cnf(t1735,plain,
true = ifeq(aElementOf0(xi,szNzAzT0),true,or(sdtlseqdt0(xj,xi),false),true),
inference(step,[status(thm)],[t1734,t168]) ).
cnf(c363,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[status(esa)],[f83_sk]) ).
cnf(t14,plain,
aElementOf0(xi,szNzAzT0) = true,
inference(equality_encoding,[status(esa)],[c363]) ).
cnf(t381,plain,
aElementOf0(xi,szNzAzT0) = true,
inference(orient,[status(thm)],[t14]) ).
cnf(t1736,plain,
true = ifeq(true,true,or(sdtlseqdt0(xj,xi),false),true),
inference(step,[status(thm)],[t1735,t381]) ).
cnf(t1737,plain,
true = or(sdtlseqdt0(xj,xi),false),
inference(step,[status(thm)],[t1736,t168]) ).
cnf(t22,plain,
or(X1,false) = X1,
introduced(definition) ).
cnf(t175,plain,
or(X1,false) = X1,
inference(orient,[status(thm)],[t22]) ).
cnf(t1738,plain,
true = sdtlseqdt0(xj,xi),
inference(step,[status(thm)],[t1737,t175]) ).
cnf(t1656,plain,
sdtlseqdt0(xj,xi) = true,
inference(orient,[status(thm)],[t1738]) ).
cnf(t1657,plain,
xi = ifeq(aElementOf0(xj,szNzAzT0),true,ifeq(aElementOf0(xi,szNzAzT0),true,ifeq(true,true,ifeq(sdtlseqdt0(xi,xj),true,xj,xi),xi),xi),xi),
inference(cp,[status(thm)],[t171,t1656]) ).
cnf(t1739,plain,
xi = ifeq(true,true,ifeq(aElementOf0(xi,szNzAzT0),true,ifeq(true,true,ifeq(sdtlseqdt0(xi,xj),true,xj,xi),xi),xi),xi),
inference(step,[status(thm)],[t1657,t240]) ).
cnf(t1740,plain,
xi = ifeq(aElementOf0(xi,szNzAzT0),true,ifeq(true,true,ifeq(sdtlseqdt0(xi,xj),true,xj,xi),xi),xi),
inference(step,[status(thm)],[t1739,t168]) ).
cnf(t1741,plain,
xi = ifeq(true,true,ifeq(true,true,ifeq(sdtlseqdt0(xi,xj),true,xj,xi),xi),xi),
inference(step,[status(thm)],[t1740,t381]) ).
cnf(t1742,plain,
xi = ifeq(true,true,ifeq(sdtlseqdt0(xi,xj),true,xj,xi),xi),
inference(step,[status(thm)],[t1741,t168]) ).
cnf(t1743,plain,
xi = ifeq(sdtlseqdt0(xi,xj),true,xj,xi),
inference(step,[status(thm)],[t1742,t168]) ).
cnf(c366,plain,
~ sdtlseqdt0(szszuzczcdt0(xj),xi),
inference(cnf_transformation,[status(esa)],[f84_sk]) ).
cnf(t41,plain,
sdtlseqdt0(szszuzczcdt0(xj),xi) = false,
inference(equality_encoding,[status(esa)],[c366]) ).
cnf(t1588,plain,
sdtlseqdt0(szszuzczcdt0(xj),xi) = false,
inference(orient,[status(thm)],[t41]) ).
cnf(t1592,plain,
true = ifeq(aElementOf0(xi,szNzAzT0),true,ifeq(aElementOf0(xj,szNzAzT0),true,or(sdtlseqdt0(xi,xj),false),true),true),
inference(cp,[status(thm)],[t195,t1588]) ).
cnf(t1729,plain,
true = ifeq(true,true,ifeq(aElementOf0(xj,szNzAzT0),true,or(sdtlseqdt0(xi,xj),false),true),true),
inference(step,[status(thm)],[t1592,t381]) ).
cnf(t1730,plain,
true = ifeq(aElementOf0(xj,szNzAzT0),true,or(sdtlseqdt0(xi,xj),false),true),
inference(step,[status(thm)],[t1729,t168]) ).
cnf(t1731,plain,
true = ifeq(true,true,or(sdtlseqdt0(xi,xj),false),true),
inference(step,[status(thm)],[t1730,t240]) ).
cnf(t1732,plain,
true = or(sdtlseqdt0(xi,xj),false),
inference(step,[status(thm)],[t1731,t168]) ).
cnf(t1733,plain,
true = sdtlseqdt0(xi,xj),
inference(step,[status(thm)],[t1732,t175]) ).
cnf(t1646,plain,
sdtlseqdt0(xi,xj) = true,
inference(orient,[status(thm)],[t1733]) ).
cnf(t1744,plain,
xi = ifeq(true,true,xj,xi),
inference(step,[status(thm)],[t1743,t1646]) ).
cnf(t1745,plain,
xi = xj,
inference(step,[status(thm)],[t1744,t168]) ).
cnf(t1666,plain,
xi = xj,
inference(orient,[status(thm)],[t1745]) ).
cnf(t1746,plain,
eq(xj,xj) = false,
inference(step,[status(thm)],[t1618,t1666]) ).
cnf(t18,plain,
eq(X1,X1) = true,
introduced(definition) ).
cnf(t1276,plain,
eq(X1,X1) = true,
inference(orient,[status(thm)],[t18]) ).
cnf(t1747,plain,
true = false,
inference(step,[status(thm)],[t1746,t1276]) ).
cnf(t1667,plain,
true = false,
inference(rw,[status(thm)],[t1747]) ).
cnf(t1671,plain,
false = true,
inference(orient,[status(thm)],[t1667]) ).
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(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]) ).
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]) ).
fof(f76,hypothesis,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ! [W1] :
( ( isCountable0(W1)
& ( aSubsetOf0(W1,szNzAzT0)
| ( ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,szNzAzT0) )
& aSet0(W1) ) ) )
=> ! [W2] :
( ( ( ( ! [W3] :
( aElementOf0(W3,sdtlcdtrc0(W2,szDzozmdt0(W2)))
<=> ? [W4] :
( sdtlpdtrp0(W2,W4) = W3
& aElementOf0(W4,szDzozmdt0(W2)) ) )
& aSet0(sdtlcdtrc0(W2,szDzozmdt0(W2))) )
=> ( aSubsetOf0(sdtlcdtrc0(W2,szDzozmdt0(W2)),xT)
| ! [W3] :
( aElementOf0(W3,sdtlcdtrc0(W2,szDzozmdt0(W2)))
=> aElementOf0(W3,xT) ) ) )
& ( szDzozmdt0(W2) = slbdtsldtrb0(W1,W0)
| ! [W3] :
( ( ( sbrdtbr0(W3) = W0
& aSubsetOf0(W3,W1)
& ! [W4] :
( aElementOf0(W4,W3)
=> aElementOf0(W4,W1) )
& aSet0(W3) )
=> aElementOf0(W3,szDzozmdt0(W2)) )
& ( aElementOf0(W3,szDzozmdt0(W2))
=> ( sbrdtbr0(W3) = W0
& ( aSubsetOf0(W3,W1)
| ( ! [W4] :
( aElementOf0(W4,W3)
=> aElementOf0(W4,W1) )
& aSet0(W3) ) ) ) ) ) )
& aFunction0(W2) )
=> ( iLess0(W0,xK)
=> ? [W3] :
( ? [W4] :
( ! [W5] :
( ( aElementOf0(W5,slbdtsldtrb0(W4,W0))
| ( sbrdtbr0(W5) = W0
& ( aSubsetOf0(W5,W4)
| ( ! [W6] :
( aElementOf0(W6,W5)
=> aElementOf0(W6,W4) )
& aSet0(W5) ) ) ) )
=> sdtlpdtrp0(W2,W5) = W3 )
& isCountable0(W4)
& aSubsetOf0(W4,W1)
& ! [W5] :
( aElementOf0(W5,W4)
=> aElementOf0(W5,W1) )
& aSet0(W4) )
& aElementOf0(W3,xT) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3398) ).
fof(f76_nnf,plain,
! [W0] :
( ! [W1] :
( ! [W2] :
( ? [W3] :
( ? [W4] :
( ! [W5] :
( sdtlpdtrp0(W2,W5) = W3
| ( ~ aElementOf0(W5,slbdtsldtrb0(W4,W0))
& ( sbrdtbr0(W5) != W0
| ( ~ aSubsetOf0(W5,W4)
& ( ? [W6] :
( ~ aElementOf0(W6,W4)
& aElementOf0(W6,W5) )
| ~ aSet0(W5) ) ) ) ) )
& isCountable0(W4)
& aSubsetOf0(W4,W1)
& ! [W5] :
( aElementOf0(W5,W1)
| ~ aElementOf0(W5,W4) )
& aSet0(W4) )
& aElementOf0(W3,xT) )
| ~ iLess0(W0,xK)
| ( ~ aSubsetOf0(sdtlcdtrc0(W2,szDzozmdt0(W2)),xT)
& ? [W3] :
( ~ aElementOf0(W3,xT)
& aElementOf0(W3,sdtlcdtrc0(W2,szDzozmdt0(W2))) )
& ! [W3] :
( ( ! [W4] :
( sdtlpdtrp0(W2,W4) != W3
| ~ aElementOf0(W4,szDzozmdt0(W2)) )
| aElementOf0(W3,sdtlcdtrc0(W2,szDzozmdt0(W2))) )
& ( ? [W4] :
( sdtlpdtrp0(W2,W4) = W3
& aElementOf0(W4,szDzozmdt0(W2)) )
| ~ aElementOf0(W3,sdtlcdtrc0(W2,szDzozmdt0(W2))) ) )
& aSet0(sdtlcdtrc0(W2,szDzozmdt0(W2))) )
| ( szDzozmdt0(W2) != slbdtsldtrb0(W1,W0)
& ? [W3] :
( ( ~ aElementOf0(W3,szDzozmdt0(W2))
& sbrdtbr0(W3) = W0
& aSubsetOf0(W3,W1)
& ! [W4] :
( aElementOf0(W4,W1)
| ~ aElementOf0(W4,W3) )
& aSet0(W3) )
| ( ( sbrdtbr0(W3) != W0
| ( ~ aSubsetOf0(W3,W1)
& ( ? [W4] :
( ~ aElementOf0(W4,W1)
& aElementOf0(W4,W3) )
| ~ aSet0(W3) ) ) )
& aElementOf0(W3,szDzozmdt0(W2)) ) ) )
| ~ aFunction0(W2) )
| ~ isCountable0(W1)
| ( ~ aSubsetOf0(W1,szNzAzT0)
& ( ? [W2] :
( ~ aElementOf0(W2,szNzAzT0)
& aElementOf0(W2,W1) )
| ~ aSet0(W1) ) ) )
| ~ aElementOf0(W0,szNzAzT0) ),
inference(nnf_transformation,[status(thm)],[f76]) ).
fof(f76_sk,plain,
! [W0,W1,W2,W4,W3,W5] :
( ( ( sdtlpdtrp0(W2,W5) = sk26(W0,W1,W2)
| ( ~ aElementOf0(W5,slbdtsldtrb0(sk27(W0,W1,W2),W0))
& ( sbrdtbr0(W5) != W0
| ( ~ aSubsetOf0(W5,sk27(W0,W1,W2))
& ( ( ~ aElementOf0(sk28(W0,W1,W2,W5),sk27(W0,W1,W2))
& aElementOf0(sk28(W0,W1,W2,W5),W5) )
| ~ aSet0(W5) ) ) ) ) )
& isCountable0(sk27(W0,W1,W2))
& aSubsetOf0(sk27(W0,W1,W2),W1)
& ( aElementOf0(W5,W1)
| ~ aElementOf0(W5,sk27(W0,W1,W2)) )
& aSet0(sk27(W0,W1,W2))
& aElementOf0(sk26(W0,W1,W2),xT) )
| ~ iLess0(W0,xK)
| ( ~ aSubsetOf0(sdtlcdtrc0(W2,szDzozmdt0(W2)),xT)
& ~ aElementOf0(sk25(W0,W1,W2),xT)
& aElementOf0(sk25(W0,W1,W2),sdtlcdtrc0(W2,szDzozmdt0(W2)))
& ( sdtlpdtrp0(W2,W4) != W3
| ~ aElementOf0(W4,szDzozmdt0(W2))
| aElementOf0(W3,sdtlcdtrc0(W2,szDzozmdt0(W2))) )
& ( ( sdtlpdtrp0(W2,sk24(W0,W1,W2,W3)) = W3
& aElementOf0(sk24(W0,W1,W2,W3),szDzozmdt0(W2)) )
| ~ aElementOf0(W3,sdtlcdtrc0(W2,szDzozmdt0(W2))) )
& aSet0(sdtlcdtrc0(W2,szDzozmdt0(W2))) )
| ( szDzozmdt0(W2) != slbdtsldtrb0(W1,W0)
& ( ( ~ aElementOf0(sk22(W0,W1,W2),szDzozmdt0(W2))
& sbrdtbr0(sk22(W0,W1,W2)) = W0
& aSubsetOf0(sk22(W0,W1,W2),W1)
& ( aElementOf0(W4,W1)
| ~ aElementOf0(W4,sk22(W0,W1,W2)) )
& aSet0(sk22(W0,W1,W2)) )
| ( ( sbrdtbr0(sk22(W0,W1,W2)) != W0
| ( ~ aSubsetOf0(sk22(W0,W1,W2),W1)
& ( ( ~ aElementOf0(sk23(W0,W1,W2),W1)
& aElementOf0(sk23(W0,W1,W2),sk22(W0,W1,W2)) )
| ~ aSet0(sk22(W0,W1,W2)) ) ) )
& aElementOf0(sk22(W0,W1,W2),szDzozmdt0(W2)) ) ) )
| ~ aFunction0(W2)
| ~ isCountable0(W1)
| ( ~ aSubsetOf0(W1,szNzAzT0)
& ( ( ~ aElementOf0(sk21(W0,W1),szNzAzT0)
& aElementOf0(sk21(W0,W1),W1) )
| ~ aSet0(W1) ) )
| ~ aElementOf0(W0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk21,sk22,sk23,sk24,sk25,sk26,sk27,sk28])],[f76_nnf]) ).
cnf(c188,plain,
( ~ aElementOf0(sk21(X0,X1),szNzAzT0)
| ~ def0(X0,X1) ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42])],[f76_sk]) ).
cnf(c194,plain,
( ~ aSubsetOf0(X1,szNzAzT0)
| ~ def2(X1,X0) ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42])],[f76_sk]) ).
cnf(c200,plain,
( ~ aElementOf0(sk23(X0,X1,X2),X1)
| ~ def4(X0,X1,X2) ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42])],[f76_sk]) ).
cnf(c206,plain,
( ~ aSubsetOf0(sk22(X0,X1,X2),X1)
| ~ def6(X0,X1,X2) ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42])],[f76_sk]) ).
cnf(c227,plain,
( ~ aElementOf0(sk22(X0,X1,X2),szDzozmdt0(X2))
| ~ def13(X0,X1,X2,X4) ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42])],[f76_sk]) ).
cnf(c233,plain,
( szDzozmdt0(X2) != slbdtsldtrb0(X1,X0)
| ~ def15(X0,X1,X2,X4) ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42])],[f76_sk]) ).
cnf(c244,plain,
( sdtlpdtrp0(X2,X4) != X3
| ~ aElementOf0(X4,szDzozmdt0(X2))
| ~ def19(X4,X2,X3) ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42])],[f76_sk]) ).
cnf(c257,plain,
( ~ aElementOf0(sk25(X0,X1,X2),xT)
| ~ def23(X0,X1,X2) ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42])],[f76_sk]) ).
cnf(c260,plain,
( ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| ~ def24(X0,X1,X2) ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42])],[f76_sk]) ).
cnf(c281,plain,
( ~ aElementOf0(sk28(X0,X1,X2,X5),sk27(X0,X1,X2))
| ~ def31(X0,X1,X2,X5) ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42])],[f76_sk]) ).
cnf(c287,plain,
( ~ aSubsetOf0(X5,sk27(X0,X1,X2))
| ~ def33(X5,X0,X1,X2) ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42])],[f76_sk]) ).
cnf(c293,plain,
( ~ aElementOf0(X5,slbdtsldtrb0(sk27(X0,X1,X2),X0))
| ~ def35(X5,X0,X1,X2) ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42])],[f76_sk]) ).
fof(f77,hypothesis,
xK != sz00,
file('/export/starexec/sandbox2/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(c317,plain,
xK != sz00,
inference(cnf_transformation,[status(esa)],[f77_sk]) ).
fof(f78,hypothesis,
xK != sz00,
file('/export/starexec/sandbox2/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(c318,plain,
xK != sz00,
inference(cnf_transformation,[status(esa)],[f78_sk]) ).
fof(f80,hypothesis,
( ! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( ( isCountable0(sdtlpdtrp0(xN,W0))
& ( aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)
| ( ! [W1] :
( aElementOf0(W1,sdtlpdtrp0(xN,W0))
=> aElementOf0(W1,szNzAzT0) )
& aSet0(sdtlpdtrp0(xN,W0)) ) ) )
=> ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(W0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
& ! [W1] :
( aElementOf0(W1,sdtlpdtrp0(xN,szszuzczcdt0(W0)))
=> aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(W0)))
& ! [W1] :
( aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
<=> ( W1 != szmzizndt0(sdtlpdtrp0(xN,W0))
& aElementOf0(W1,sdtlpdtrp0(xN,W0))
& aElement0(W1) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
& ! [W1] :
( aElementOf0(W1,sdtlpdtrp0(xN,W0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W1) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0)) ) ) )
& sdtlpdtrp0(xN,sz00) = xS
& szDzozmdt0(xN) = szNzAzT0
& aFunction0(xN) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3623) ).
fof(f80_nnf,plain,
( ! [W0] :
( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(W0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
& ! [W1] :
( aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
| ~ aElementOf0(W1,sdtlpdtrp0(xN,szszuzczcdt0(W0))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(W0)))
& ! [W1] :
( ( W1 = szmzizndt0(sdtlpdtrp0(xN,W0))
| ~ aElementOf0(W1,sdtlpdtrp0(xN,W0))
| ~ aElement0(W1)
| aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) )
& ( ( W1 != szmzizndt0(sdtlpdtrp0(xN,W0))
& aElementOf0(W1,sdtlpdtrp0(xN,W0))
& aElement0(W1) )
| ~ aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
& ! [W1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W1)
| ~ aElementOf0(W1,sdtlpdtrp0(xN,W0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0)) )
| ~ isCountable0(sdtlpdtrp0(xN,W0))
| ( ~ aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)
& ( ? [W1] :
( ~ aElementOf0(W1,szNzAzT0)
& aElementOf0(W1,sdtlpdtrp0(xN,W0)) )
| ~ aSet0(sdtlpdtrp0(xN,W0)) ) )
| ~ aElementOf0(W0,szNzAzT0) )
& sdtlpdtrp0(xN,sz00) = xS
& szDzozmdt0(xN) = szNzAzT0
& aFunction0(xN) ),
inference(nnf_transformation,[status(thm)],[f80]) ).
fof(f80_sk,plain,
! [W0,W1] :
( ( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(W0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
& ( aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
| ~ aElementOf0(W1,sdtlpdtrp0(xN,szszuzczcdt0(W0))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(W0)))
& ( W1 = szmzizndt0(sdtlpdtrp0(xN,W0))
| ~ aElementOf0(W1,sdtlpdtrp0(xN,W0))
| ~ aElement0(W1)
| aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) )
& ( ( W1 != szmzizndt0(sdtlpdtrp0(xN,W0))
& aElementOf0(W1,sdtlpdtrp0(xN,W0))
& aElement0(W1) )
| ~ aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
& ( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W1)
| ~ aElementOf0(W1,sdtlpdtrp0(xN,W0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0)) )
| ~ isCountable0(sdtlpdtrp0(xN,W0))
| ( ~ aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)
& ( ( ~ aElementOf0(sk29(W0),szNzAzT0)
& aElementOf0(sk29(W0),sdtlpdtrp0(xN,W0)) )
| ~ aSet0(sdtlpdtrp0(xN,W0)) ) )
| ~ aElementOf0(W0,szNzAzT0) )
& sdtlpdtrp0(xN,sz00) = xS
& szDzozmdt0(xN) = szNzAzT0
& aFunction0(xN) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk29])],[f80_nnf]) ).
cnf(c340,plain,
( X1 != szmzizndt0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(sk29(X0),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[status(esa)],[f80_sk]) ).
cnf(c351,plain,
( X1 != szmzizndt0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[status(esa)],[f80_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c5,c9,c10,c36,c56,c60,c63,c188,c194,c200,c206,c227,c233,c244,c257,c260,c281,c287,c293,c317,c318,c340,c351,c365,c366,c367]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t1671]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM576+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n014.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 04:43:03 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 32.61/4.65 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 32.61/4.65 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------