%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM527+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n007.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 02:25:50 PM UTC 2026
% Result : Theorem 7.06s 8.04s
% Output : CNFRefutation 7.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 8
% Syntax : Number of formulae : 75 ( 21 unt; 0 def)
% Number of atoms : 316 ( 67 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 423 ( 182 ~; 200 |; 30 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 111 ( 0 sgn 111 !; 0 ?; 52 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f9,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
fof(f21,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEAsym) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETran) ).
fof(f23,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& X1 != X0 )
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETotal) ).
fof(f25,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X2)
& X1 != X2
& X0 != sz00 )
=> ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonMul) ).
fof(f40,axiom,
( xp != sz00
& xm != sz00
& xn != sz00
& aNaturalNumber0(xp)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2987) ).
fof(f47,conjecture,
( sdtlseqdt0(xn,xm)
=> sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f48,negated_conjecture,
~ ( sdtlseqdt0(xn,xm)
=> sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)) ),
inference(negated_conjecture,[status(cth)],[f47]) ).
fof(f53,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(ennf_transformation,[],[f5]) ).
fof(f54,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(flattening,[],[f53]) ).
fof(f60,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f61,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(flattening,[],[f60]) ).
fof(f81,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f21]) ).
fof(f82,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(flattening,[],[f81]) ).
fof(f83,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f84,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(flattening,[],[f83]) ).
fof(f85,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(X1,X0)
& X1 != X0 )
| sdtlseqdt0(X0,X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f86,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(X1,X0)
& X1 != X0 )
| sdtlseqdt0(X0,X1) ),
inference(flattening,[],[f85]) ).
fof(f89,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) ) ),
inference(ennf_transformation,[],[f25]) ).
fof(f90,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) ) ),
inference(flattening,[],[f89]) ).
fof(f119,plain,
( sdtlseqdt0(xn,xm)
& ~ sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)) ),
inference(ennf_transformation,[],[f48]) ).
fof(f139,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f54]) ).
fof(f144,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f166,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f82]) ).
fof(f167,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(cnf_transformation,[],[f84]) ).
fof(f168,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f86]) ).
fof(f174,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) ),
inference(cnf_transformation,[],[f90]) ).
fof(f176,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ),
inference(cnf_transformation,[],[f90]) ).
fof(f205,plain,
sz00 != xm,
inference(cnf_transformation,[],[f40]) ).
fof(f206,plain,
sz00 != xn,
inference(cnf_transformation,[],[f40]) ).
fof(f208,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f40]) ).
fof(f209,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f40]) ).
fof(f217,plain,
sdtlseqdt0(xn,xm),
inference(cnf_transformation,[],[f119]) ).
fof(f218,plain,
~ sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)),
inference(cnf_transformation,[],[f119]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f139]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f167]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f168]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtasdt0(X2,X0),sdtasdt0(X2,X1))
| ( X2 = sz00 )
| ( X0 = X1 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f176]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
| ( X2 = sz00 )
| ( X0 = X1 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_117,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f209]) ).
tcf(c_118,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f208]) ).
tcf(c_120,plain,
sz00 != xn,
inference(cnf_transformation,[],[f206]) ).
tcf(c_121,plain,
sz00 != xm,
inference(cnf_transformation,[],[f205]) ).
tcf(c_130,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)),
inference(cnf_transformation,[],[f218]) ).
tcf(c_131,negated_conjecture,
sdtlseqdt0(xn,xm),
inference(cnf_transformation,[],[f217]) ).
tcf(c_191,plain,
( sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_83,c_130]) ).
tcf(c_203,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xm) = sdtasdt0(xm,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_118,c_58]) ).
tcf(c_229,plain,
( ( xn = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xm,xn) ),
inference(superposition,[status(thm)],[c_131,c_80]) ).
tcf(c_244,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_83,c_81]) ).
tcf(c_321,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sdtasdt0(X3,X1),X2)
| ( X1 = sz00 )
| ( X0 = X3 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X3,X0)
| ~ aNaturalNumber0(sdtasdt0(X3,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_91,c_81]) ).
tcf(c_511,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xm),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ sdtlseqdt0(sdtasdt0(xn,xn),X0) ),
inference(superposition,[status(thm)],[c_191,c_81]) ).
tcf(c_519,plain,
sdtasdt0(xn,xm) = sdtasdt0(xm,xn),
inference(superposition,[status(thm)],[c_117,c_203]) ).
tcf(c_583,plain,
( ( xn = xm )
| ~ sdtlseqdt0(xm,xn) ),
inference(global_subsumption_just,[status(thm)],[c_229,c_118,c_117,c_229]) ).
tcf(c_666,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_83,c_244]) ).
tcf(c_906,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sdtasdt0(X3,X1),X2)
| ( X1 = sz00 )
| ( X0 = X3 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X3,X0)
| ~ aNaturalNumber0(sdtasdt0(X3,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),X2) ),
inference(global_subsumption_just,[status(thm)],[c_321,c_53,c_321]) ).
tcf(c_918,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sdtasdt0(X3,X1),X2)
| ( X1 = sz00 )
| ( X0 = X3 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X3,X0)
| ~ sdtlseqdt0(sdtasdt0(X0,X1),X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_906,c_53]) ).
tcf(c_949,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sdtasdt0(X3,X2),sdtasdt0(X0,X1))
| ( X2 = sz00 )
| ( X1 = X2 )
| ( X0 = sz00 )
| ( X0 = X3 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X3,X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_89,c_918]) ).
tcf(c_1816,plain,
( aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_519,c_53]) ).
tcf(c_2206,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,sdtasdt0(xn,xn))
| sdtlseqdt0(sdtasdt0(xm,xm),X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_666,c_511]) ).
tcf(c_2214,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xm)
| ( xn = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_666,c_583]) ).
tcf(c_4107,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sdtasdt0(X3,X2),sdtasdt0(X0,X1))
| ( X2 = sz00 )
| ( X1 = X2 )
| ( X0 = sz00 )
| ( X0 = X3 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X3,X0)
| ~ sdtlseqdt0(X2,X1) ),
inference(global_subsumption_just,[status(thm)],[c_949,c_53,c_949]) ).
tcf(c_4108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sdtasdt0(X2,X0),sdtasdt0(X3,X1))
| ( X3 = sz00 )
| ( X3 = X2 )
| ( X1 = X0 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1) ),
inference(renaming,[status(thm)],[c_4107]) ).
tcf(c_4152,plain,
( ( xn = xm )
| ( sz00 = xm )
| ( sz00 = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,xm) ),
inference(superposition,[status(thm)],[c_4108,c_130]) ).
tcf(c_10952,plain,
aNaturalNumber0(sdtasdt0(xn,xm)),
inference(global_subsumption_just,[status(thm)],[c_1816,c_118,c_117,c_1816]) ).
tcf(c_14581,plain,
xn = xm,
inference(global_subsumption_just,[status(thm)],[c_2214,c_118,c_117,c_131,c_121,c_120,c_4152]) ).
tcf(c_14610,plain,
aNaturalNumber0(sdtasdt0(xn,xn)),
inference(superposition,[status(thm)],[c_14581,c_10952]) ).
tcf(c_14669,plain,
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_14581,c_191]) ).
tcf(c_14673,plain,
~ sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xn,xn)),
inference(superposition,[status(thm)],[c_14581,c_130]) ).
tcf(c_16533,plain,
~ aNaturalNumber0(sdtasdt0(xm,xm)),
inference(global_subsumption_just,[status(thm)],[c_2206,c_14610,c_14673,c_14669]) ).
tcf(c_16535,plain,
~ aNaturalNumber0(sdtasdt0(xn,xn)),
inference(light_normalisation,[status(thm)],[c_16533,c_14581]) ).
tcf(c_16536,plain,
~ aNaturalNumber0(xn),
inference(superposition,[status(thm)],[c_53,c_16535]) ).
tcf(c_16537,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_117,c_16536]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM527+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.17/5.45 % Computer : n007.cluster.edu
% 0.17/5.45 % Model : x86_64 x86_64
% 0.17/5.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.45 % Memory : 8046.5625MB
% 0.17/5.45 % OS : Linux 6.8.0-71-generic
% 0.17/5.45 % CPULimit : 300
% 0.17/5.45 % WCLimit : 300
% 0.17/5.45 % DateTime : Thu Sep 24 04:25:44 UTC 2026
% 0.17/5.45 % CPUTime :
% 0.17/5.45 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.22/5.52 Running first-order theorem proving
% 0.22/5.52 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/5.53
% 0.22/5.53 % ======== iProver multi-core TPTP/SMT =========
% 0.22/5.53
% 0.22/5.54 % Detected problem language: tptp
% 0.22/5.56 % Proving...
% 7.06/8.04 % SZS status Started for theBenchmark.p
% 7.06/8.04 % SZS status Theorem for theBenchmark.p
% 7.06/8.04
% 7.06/8.04 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 7.06/8.04
% 7.06/8.04 % ------ iProver source info
% 7.06/8.04
% 7.06/8.04 % git: date: 2026-07-19 20:42:38 +0200
% 7.06/8.04 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 7.06/8.04 % git: non_committed_changes: false
% 7.06/8.04
% 7.06/8.04 % ------ Parsing...
% 7.06/8.04 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 7.06/8.04 % ------ Proving...
% 7.06/8.04 % ------ Problem Properties
% 7.06/8.04
% 7.06/8.04 %
% 7.06/8.04 % clauses 83
% 7.06/8.04 % conjectures 2
% 7.06/8.04 % EPR 24
% 7.06/8.04 % Horn 55
% 7.06/8.04 % unary 17
% 7.06/8.04 % binary 10
% 7.06/8.04 % lits 316
% 7.06/8.04 % lits eq 91
% 7.06/8.04 % fd_pure 0
% 7.06/8.04 % fd_pseudo 0
% 7.06/8.04 % fd_cond 16
% 7.06/8.04 % fd_pseudo_cond 15
% 7.06/8.04 % AC symbols 0
% 7.06/8.04
% 7.06/8.04 % ------ Input Options Time Limit: Unbounded
% 7.06/8.04
% 7.06/8.04
% 7.06/8.04 % ------
% 7.06/8.04 % Current options:
% 7.06/8.04 % ------
% 7.06/8.04
% 7.06/8.04
% 7.06/8.04 %
% 7.06/8.04
% 7.06/8.04 % ------ Proving...
% 7.06/8.04 %
% 7.06/8.04
% 7.06/8.04 % SZS status Theorem for theBenchmark.p
% 7.06/8.04
% 7.06/8.04 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.06/8.05
% 7.06/8.05
%------------------------------------------------------------------------------