%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : NUM557+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 : n012.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 02:20:21 PM UTC 2026
% Result : Theorem 33.49s 10.07s
% Output : Proof 33.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 17
% Syntax : Number of formulae : 95 ( 51 unt; 3 def)
% Number of atoms : 252 ( 93 equ)
% Maximal formula atoms : 22 ( 2 avg)
% Number of connectives : 288 ( 131 ~; 81 |; 64 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 12 con; 0-4 aty)
% Number of variables : 83 ( 3 sgn 44 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f56,definition,
! [W0,W1] :
( ( aElementOf0(W1,szNzAzT0)
& aSet0(W0) )
=> ! [W2] :
( W2 = slbdtsldtrb0(W0,W1)
<=> ( ! [W3] :
( aElementOf0(W3,W2)
<=> ( sbrdtbr0(W3) = W1
& aSubsetOf0(W3,W0) ) )
& aSet0(W2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSel) ).
fof(f56_nnf,plain,
! [W0,W1] :
( ! [W2] :
( ( ? [W3] :
( ( sbrdtbr0(W3) = W1
& aSubsetOf0(W3,W0)
& ~ aElementOf0(W3,W2) )
| ( ( sbrdtbr0(W3) != W1
| ~ aSubsetOf0(W3,W0) )
& aElementOf0(W3,W2) ) )
| ~ aSet0(W2)
| W2 = slbdtsldtrb0(W0,W1) )
& ( ( ! [W3] :
( ( sbrdtbr0(W3) != W1
| ~ aSubsetOf0(W3,W0)
| aElementOf0(W3,W2) )
& ( ( sbrdtbr0(W3) = W1
& aSubsetOf0(W3,W0) )
| ~ aElementOf0(W3,W2) ) )
& aSet0(W2) )
| W2 != slbdtsldtrb0(W0,W1) ) )
| ~ aElementOf0(W1,szNzAzT0)
| ~ aSet0(W0) ),
inference(nnf_transformation,[status(thm)],[f56]) ).
fof(f56_sk,plain,
! [W0,W1,W2,W3] :
( ( ( ( sbrdtbr0(sk10(W0,W1,W2)) = W1
& aSubsetOf0(sk10(W0,W1,W2),W0)
& ~ aElementOf0(sk10(W0,W1,W2),W2) )
| ( ( sbrdtbr0(sk10(W0,W1,W2)) != W1
| ~ aSubsetOf0(sk10(W0,W1,W2),W0) )
& aElementOf0(sk10(W0,W1,W2),W2) )
| ~ aSet0(W2)
| W2 = slbdtsldtrb0(W0,W1) )
& ( ( ( sbrdtbr0(W3) != W1
| ~ aSubsetOf0(W3,W0)
| aElementOf0(W3,W2) )
& ( ( sbrdtbr0(W3) = W1
& aSubsetOf0(W3,W0) )
| ~ aElementOf0(W3,W2) )
& aSet0(W2) )
| W2 != slbdtsldtrb0(W0,W1) ) )
| ~ aElementOf0(W1,szNzAzT0)
| ~ aSet0(W0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk10])],[f56_nnf]) ).
cnf(c115,plain,
( sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0)
| aElementOf0(X3,X2)
| X2 != slbdtsldtrb0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(esa)],[f56_sk]) ).
cnf(t238,plain,
ifeq(aSet0(X1),true,ifeq(aElementOf0(X2,szNzAzT0),true,ifeq(X3,slbdtsldtrb0(X1,X2),ifeq(aSubsetOf0(X4,X1),true,ifeq(sbrdtbr0(X4),X2,aElementOf0(X4,X3),true),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c115]) ).
cnf(t313,plain,
ifeq(aSet0(X1),true,ifeq(aElementOf0(X2,szNzAzT0),true,ifeq(X3,slbdtsldtrb0(X1,X2),ifeq(aSubsetOf0(X4,X1),true,ifeq(sbrdtbr0(X4),X2,aElementOf0(X4,X3),true),true),true),true),true) = true,
inference(orient,[status(thm)],[t238]) ).
cnf(t71,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t256,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t71]) ).
cnf(t314,plain,
true = ifeq(aSet0(X1),true,ifeq(aElementOf0(X2,szNzAzT0),true,ifeq(aSubsetOf0(X3,X1),true,ifeq(sbrdtbr0(X3),X2,aElementOf0(X3,slbdtsldtrb0(X1,X2)),true),true),true),true),
inference(cp,[status(thm)],[t313,t256]) ).
cnf(t13310,plain,
ifeq(aSet0(X1),true,ifeq(aElementOf0(X2,szNzAzT0),true,ifeq(aSubsetOf0(X3,X1),true,ifeq(sbrdtbr0(X3),X2,aElementOf0(X3,slbdtsldtrb0(X1,X2)),true),true),true),true) = true,
inference(orient,[status(thm)],[t314]) ).
fof(f72,conjecture,
aElementOf0(xP,slbdtsldtrb0(xS,xk)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f72_neg,negated_conjecture,
~ aElementOf0(xP,slbdtsldtrb0(xS,xk)),
inference(negated_conjecture,[status(cth)],[f72]) ).
fof(f72_nnf,plain,
~ aElementOf0(xP,slbdtsldtrb0(xS,xk)),
inference(nnf_transformation,[status(thm)],[f72_neg]) ).
fof(f72_sk,plain,
~ aElementOf0(xP,slbdtsldtrb0(xS,xk)),
inference(skolemisation,[status(esa)],[f72_nnf]) ).
cnf(c145,plain,
~ aElementOf0(xP,slbdtsldtrb0(xS,xk)),
inference(cnf_transformation,[status(esa)],[f72_sk]) ).
cnf(t63,plain,
aElementOf0(xP,slbdtsldtrb0(xS,xk)) = false,
inference(equality_encoding,[status(esa)],[c145]) ).
cnf(t2713,plain,
aElementOf0(xP,slbdtsldtrb0(xS,xk)) = false,
inference(orient,[status(thm)],[t63]) ).
cnf(t13426,plain,
true = ifeq(aSet0(xS),true,ifeq(aElementOf0(xk,szNzAzT0),true,ifeq(aSubsetOf0(xP,xS),true,ifeq(sbrdtbr0(xP),xk,false,true),true),true),true),
inference(cp,[status(thm)],[t13310,t2713]) ).
fof(f61,hypothesis,
( xk != sz00
& aSet0(xT)
& aSet0(xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2202_02) ).
fof(f61_nnf,plain,
( xk != sz00
& aSet0(xT)
& aSet0(xS) ),
inference(nnf_transformation,[status(thm)],[f61]) ).
fof(f61_sk,plain,
( xk != sz00
& aSet0(xT)
& aSet0(xS) ),
inference(skolemisation,[status(esa)],[f61_nnf]) ).
cnf(c126,plain,
aSet0(xS),
inference(cnf_transformation,[status(esa)],[f61_sk]) ).
cnf(t6,plain,
aSet0(xS) = true,
inference(equality_encoding,[status(esa)],[c126]) ).
cnf(t1608,plain,
aSet0(xS) = true,
inference(orient,[status(thm)],[t6]) ).
cnf(t14656,plain,
true = ifeq(true,true,ifeq(aElementOf0(xk,szNzAzT0),true,ifeq(aSubsetOf0(xP,xS),true,ifeq(sbrdtbr0(xP),xk,false,true),true),true),true),
inference(step,[status(thm)],[t13426,t1608]) ).
cnf(t14657,plain,
true = ifeq(aElementOf0(xk,szNzAzT0),true,ifeq(aSubsetOf0(xP,xS),true,ifeq(sbrdtbr0(xP),xk,false,true),true),true),
inference(step,[status(thm)],[t14656,t256]) ).
fof(f60,hypothesis,
aElementOf0(xk,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2202) ).
fof(f60_nnf,plain,
aElementOf0(xk,szNzAzT0),
inference(nnf_transformation,[status(thm)],[f60]) ).
cnf(c125,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf_transformation,[status(esa)],[f60_nnf]) ).
cnf(t18,plain,
aElementOf0(xk,szNzAzT0) = true,
inference(equality_encoding,[status(esa)],[c125]) ).
cnf(t519,plain,
aElementOf0(xk,szNzAzT0) = true,
inference(orient,[status(thm)],[t18]) ).
cnf(t14658,plain,
true = ifeq(true,true,ifeq(aSubsetOf0(xP,xS),true,ifeq(sbrdtbr0(xP),xk,false,true),true),true),
inference(step,[status(thm)],[t14657,t519]) ).
cnf(t14659,plain,
true = ifeq(aSubsetOf0(xP,xS),true,ifeq(sbrdtbr0(xP),xk,false,true),true),
inference(step,[status(thm)],[t14658,t256]) ).
fof(f71,hypothesis,
( sbrdtbr0(xP) = xk
& aSubsetOf0(xP,xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2431) ).
fof(f71_nnf,plain,
( sbrdtbr0(xP) = xk
& aSubsetOf0(xP,xS) ),
inference(nnf_transformation,[status(thm)],[f71]) ).
fof(f71_sk,plain,
( sbrdtbr0(xP) = xk
& aSubsetOf0(xP,xS) ),
inference(skolemisation,[status(esa)],[f71_nnf]) ).
cnf(c143,plain,
aSubsetOf0(xP,xS),
inference(cnf_transformation,[status(esa)],[f71_sk]) ).
cnf(t24,plain,
aSubsetOf0(xP,xS) = true,
inference(equality_encoding,[status(esa)],[c143]) ).
cnf(t2100,plain,
aSubsetOf0(xP,xS) = true,
inference(orient,[status(thm)],[t24]) ).
cnf(t14660,plain,
true = ifeq(true,true,ifeq(sbrdtbr0(xP),xk,false,true),true),
inference(step,[status(thm)],[t14659,t2100]) ).
cnf(t14661,plain,
true = ifeq(sbrdtbr0(xP),xk,false,true),
inference(step,[status(thm)],[t14660,t256]) ).
cnf(c144,plain,
sbrdtbr0(xP) = xk,
inference(cnf_transformation,[status(esa)],[f71_sk]) ).
cnf(t13,plain,
sbrdtbr0(xP) = xk,
inference(equality_encoding,[status(esa)],[c144]) ).
cnf(t3117,plain,
sbrdtbr0(xP) = xk,
inference(orient,[status(thm)],[t13]) ).
cnf(t14662,plain,
true = ifeq(xk,xk,false,true),
inference(step,[status(thm)],[t14661,t3117]) ).
cnf(t14663,plain,
true = false,
inference(step,[status(thm)],[t14662,t256]) ).
cnf(t13427,plain,
false = true,
inference(orient,[status(thm)],[t14663]) ).
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]) ).
cnf(c128,plain,
xk != sz00,
inference(cnf_transformation,[status(esa)],[f61_sk]) ).
fof(f62,hypothesis,
( slbdtsldtrb0(xS,xk) != slcrc0
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2227) ).
fof(f62_nnf,plain,
( slbdtsldtrb0(xS,xk) != slcrc0
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)) ),
inference(nnf_transformation,[status(thm)],[f62]) ).
fof(f62_sk,plain,
( slbdtsldtrb0(xS,xk) != slcrc0
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)) ),
inference(skolemisation,[status(esa)],[f62_nnf]) ).
cnf(c130,plain,
slbdtsldtrb0(xS,xk) != slcrc0,
inference(cnf_transformation,[status(esa)],[f62_sk]) ).
fof(f67,hypothesis,
~ aElementOf0(xx,xQ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2323) ).
fof(f67_nnf,plain,
~ aElementOf0(xx,xQ),
inference(nnf_transformation,[status(thm)],[f67]) ).
fof(f67_sk,plain,
~ aElementOf0(xx,xQ),
inference(skolemisation,[status(esa)],[f67_nnf]) ).
cnf(c138,plain,
~ aElementOf0(xx,xQ),
inference(cnf_transformation,[status(esa)],[f67_sk]) ).
fof(f68,hypothesis,
~ aElementOf0(xx,xQ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2338) ).
fof(f68_nnf,plain,
~ aElementOf0(xx,xQ),
inference(nnf_transformation,[status(thm)],[f68]) ).
fof(f68_sk,plain,
~ aElementOf0(xx,xQ),
inference(skolemisation,[status(esa)],[f68_nnf]) ).
cnf(c139,plain,
~ aElementOf0(xx,xQ),
inference(cnf_transformation,[status(esa)],[f68_sk]) ).
fof(f70,hypothesis,
( szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))) = xk
& ~ aElementOf0(xx,sdtmndt0(xQ,xy)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2411) ).
fof(f70_nnf,plain,
( szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))) = xk
& ~ aElementOf0(xx,sdtmndt0(xQ,xy)) ),
inference(nnf_transformation,[status(thm)],[f70]) ).
fof(f70_sk,plain,
( szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))) = xk
& ~ aElementOf0(xx,sdtmndt0(xQ,xy)) ),
inference(skolemisation,[status(esa)],[f70_nnf]) ).
cnf(c141,plain,
~ aElementOf0(xx,sdtmndt0(xQ,xy)),
inference(cnf_transformation,[status(esa)],[f70_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c5,c9,c10,c36,c56,c60,c63,c128,c130,c138,c139,c141,c145]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t13427]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : NUM557+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.03/5.52 % Computer : n012.cluster.edu
% 0.03/5.52 % Model : x86_64 x86_64
% 0.03/5.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/5.52 % Memory : 8046.5625MB
% 0.03/5.52 % OS : Linux 6.8.0-71-generic
% 0.03/5.52 % CPULimit : 300
% 0.03/5.52 % WCLimit : 300
% 0.03/5.52 % DateTime : Thu Sep 24 04:36:54 UTC 2026
% 0.03/5.52 % CPUTime :
% 0.03/5.52 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 33.49/10.07 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 33.49/10.07 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------