%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM476+2 : 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 : n020.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 02:25:10 PM UTC 2026
% Result : Theorem 3.76s 1.31s
% Output : CNFRefutation 3.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 10
% Syntax : Number of formulae : 81 ( 29 unt; 5 def)
% Number of atoms : 319 ( 157 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 272 ( 65 ~; 57 |; 142 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 5 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-2 aty)
% Number of variables : 83 ( 0 sgn 47 !; 36 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( X0 = sdtpldt0(sz00,X0)
& sdtpldt0(X0,sz00) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_AddZero) ).
fof(f12,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sz00 = sdtasdt0(sz00,X0)
& sdtasdt0(X0,sz00) = sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulZero) ).
fof(f34,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xl) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1324) ).
fof(f35,axiom,
( doDivides0(xl,sdtpldt0(xm,xn))
& ? [X0] :
( sdtpldt0(xm,xn) = sdtasdt0(xl,X0)
& aNaturalNumber0(X0) )
& doDivides0(xl,xm)
& ? [X0] :
( xm = sdtasdt0(xl,X0)
& aNaturalNumber0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1324_04) ).
fof(f36,conjecture,
( ( xl != sz00
=> ? [X0] :
( ? [X1] :
( ? [X2] :
( xn = sdtasdt0(xl,X2)
& sdtpldt0(sdtasdt0(xl,X0),sdtasdt0(xl,X2)) = sdtpldt0(sdtasdt0(xl,X0),xn)
& X2 = sdtmndt0(X1,X0)
& sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) )
& sdtlseqdt0(X0,X1)
& ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) )
& X1 = sdtsldt0(sdtpldt0(xm,xn),xl)
& sdtpldt0(xm,xn) = sdtasdt0(xl,X1)
& aNaturalNumber0(X1) )
& X0 = sdtsldt0(xm,xl)
& xm = sdtasdt0(xl,X0)
& aNaturalNumber0(X0) ) )
=> ( doDivides0(xl,xn)
| ? [X0] :
( xn = sdtasdt0(xl,X0)
& aNaturalNumber0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f37,negated_conjecture,
~ ( ( xl != sz00
=> ? [X0] :
( ? [X1] :
( ? [X2] :
( xn = sdtasdt0(xl,X2)
& sdtpldt0(sdtasdt0(xl,X0),sdtasdt0(xl,X2)) = sdtpldt0(sdtasdt0(xl,X0),xn)
& X2 = sdtmndt0(X1,X0)
& sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) )
& sdtlseqdt0(X0,X1)
& ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) )
& X1 = sdtsldt0(sdtpldt0(xm,xn),xl)
& sdtpldt0(xm,xn) = sdtasdt0(xl,X1)
& aNaturalNumber0(X1) )
& X0 = sdtsldt0(xm,xl)
& xm = sdtasdt0(xl,X0)
& aNaturalNumber0(X0) ) )
=> ( doDivides0(xl,xn)
| ? [X0] :
( xn = sdtasdt0(xl,X0)
& aNaturalNumber0(X0) ) ) ),
inference(negated_conjecture,[status(cth)],[f36]) ).
fof(f40,plain,
( doDivides0(xl,sdtpldt0(xm,xn))
& ? [X1] :
( sdtpldt0(xm,xn) = sdtasdt0(xl,X1)
& aNaturalNumber0(X1) )
& doDivides0(xl,xm)
& ? [X0] :
( xm = sdtasdt0(xl,X0)
& aNaturalNumber0(X0) ) ),
inference(rectify,[],[f35]) ).
fof(f41,plain,
~ ( ( xl != sz00
=> ? [X0] :
( ? [X1] :
( ? [X3] :
( xn = sdtasdt0(xl,X3)
& sdtpldt0(sdtasdt0(xl,X0),xn) = sdtpldt0(sdtasdt0(xl,X0),sdtasdt0(xl,X3))
& sdtmndt0(X1,X0) = X3
& sdtpldt0(X0,X3) = X1
& aNaturalNumber0(X3) )
& sdtlseqdt0(X0,X1)
& ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) )
& X1 = sdtsldt0(sdtpldt0(xm,xn),xl)
& sdtpldt0(xm,xn) = sdtasdt0(xl,X1)
& aNaturalNumber0(X1) )
& X0 = sdtsldt0(xm,xl)
& xm = sdtasdt0(xl,X0)
& aNaturalNumber0(X0) ) )
=> ( doDivides0(xl,xn)
| ? [X4] :
( xn = sdtasdt0(xl,X4)
& aNaturalNumber0(X4) ) ) ),
inference(rectify,[],[f37]) ).
fof(f51,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( X0 = sdtpldt0(sz00,X0)
& sdtpldt0(X0,sz00) = X0 ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f57,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( sz00 = sdtasdt0(sz00,X0)
& sdtasdt0(X0,sz00) = sz00 ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f95,plain,
( ( sz00 = xl
| ? [X0] :
( ? [X1] :
( ? [X3] :
( xn = sdtasdt0(xl,X3)
& sdtpldt0(sdtasdt0(xl,X0),xn) = sdtpldt0(sdtasdt0(xl,X0),sdtasdt0(xl,X3))
& sdtmndt0(X1,X0) = X3
& sdtpldt0(X0,X3) = X1
& aNaturalNumber0(X3) )
& sdtlseqdt0(X0,X1)
& ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) )
& X1 = sdtsldt0(sdtpldt0(xm,xn),xl)
& sdtpldt0(xm,xn) = sdtasdt0(xl,X1)
& aNaturalNumber0(X1) )
& X0 = sdtsldt0(xm,xl)
& xm = sdtasdt0(xl,X0)
& aNaturalNumber0(X0) ) )
& ~ doDivides0(xl,xn)
& ! [X4] :
( xn != sdtasdt0(xl,X4)
| ~ aNaturalNumber0(X4) ) ),
inference(ennf_transformation,[],[f41]) ).
fof(f96,plain,
( ( sz00 = xl
| ? [X0] :
( ? [X1] :
( ? [X3] :
( xn = sdtasdt0(xl,X3)
& sdtpldt0(sdtasdt0(xl,X0),xn) = sdtpldt0(sdtasdt0(xl,X0),sdtasdt0(xl,X3))
& sdtmndt0(X1,X0) = X3
& sdtpldt0(X0,X3) = X1
& aNaturalNumber0(X3) )
& sdtlseqdt0(X0,X1)
& ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) )
& X1 = sdtsldt0(sdtpldt0(xm,xn),xl)
& sdtpldt0(xm,xn) = sdtasdt0(xl,X1)
& aNaturalNumber0(X1) )
& X0 = sdtsldt0(xm,xl)
& xm = sdtasdt0(xl,X0)
& aNaturalNumber0(X0) ) )
& ~ doDivides0(xl,xn)
& ! [X4] :
( xn != sdtasdt0(xl,X4)
| ~ aNaturalNumber0(X4) ) ),
inference(flattening,[],[f95]) ).
fof(f110,plain,
( doDivides0(xl,sdtpldt0(xm,xn))
& sdtpldt0(xm,xn) = sdtasdt0(xl,sK5)
& aNaturalNumber0(sK5)
& doDivides0(xl,xm)
& xm = sdtasdt0(xl,sK4)
& aNaturalNumber0(sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5]),skolemize(X0,sK4),skolemize(X1,sK5)],[f40]) ).
fof(f111,plain,
! [X0] :
( ~ sP1(X0)
| ? [X1] :
( sP0(X1,X0)
& sdtlseqdt0(X0,X1)
& ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) )
& X1 = sdtsldt0(sdtpldt0(xm,xn),xl)
& sdtpldt0(xm,xn) = sdtasdt0(xl,X1)
& aNaturalNumber0(X1) ) ),
inference(nnf_transformation,[],[f98]) ).
fof(f112,plain,
! [X0] :
( ~ sP1(X0)
| ( sP0(sK6(X0),X0)
& sdtlseqdt0(X0,sK6(X0))
& sK6(X0) = sdtpldt0(X0,sK7(X0))
& aNaturalNumber0(sK7(X0))
& sdtsldt0(sdtpldt0(xm,xn),xl) = sK6(X0)
& sdtpldt0(xm,xn) = sdtasdt0(xl,sK6(X0))
& aNaturalNumber0(sK6(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7]),skolemize(X1,sK6(X0)),skolemize(X2,sK7(X0))],[f111]) ).
fof(f116,plain,
( ( sz00 = xl
| ? [X1] :
( sP1(X1)
& sdtsldt0(xm,xl) = X1
& xm = sdtasdt0(xl,X1)
& aNaturalNumber0(X1) ) )
& ~ doDivides0(xl,xn)
& ! [X0] :
( xn != sdtasdt0(xl,X0)
| ~ aNaturalNumber0(X0) ) ),
inference(rectify,[],[f99]) ).
fof(f117,plain,
( ( sz00 = xl
| ( sP1(sK9)
& sdtsldt0(xm,xl) = sK9
& xm = sdtasdt0(xl,sK9)
& aNaturalNumber0(sK9) ) )
& ~ doDivides0(xl,xn)
& ! [X0] :
( xn != sdtasdt0(xl,X0)
| ~ aNaturalNumber0(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X1,sK9)],[f116]) ).
fof(f125,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f51]) ).
fof(f131,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f172,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f34]) ).
fof(f176,plain,
sdtpldt0(xm,xn) = sdtasdt0(xl,sK5),
inference(cnf_transformation,[],[f110]) ).
fof(f177,plain,
aNaturalNumber0(sK5),
inference(cnf_transformation,[],[f110]) ).
fof(f179,plain,
xm = sdtasdt0(xl,sK4),
inference(cnf_transformation,[],[f110]) ).
fof(f180,plain,
aNaturalNumber0(sK4),
inference(cnf_transformation,[],[f110]) ).
fof(f181,plain,
! [X0] :
( ~ sP1(X0)
| sP0(sK6(X0),X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f193,plain,
( sz00 = xl
| sP1(sK9) ),
inference(cnf_transformation,[],[f117]) ).
fof(f197,plain,
~ doDivides0(xl,xn),
inference(cnf_transformation,[],[f117]) ).
fof(f198,plain,
! [X0] :
( xn != sdtasdt0(xl,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_57,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,X0) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f125]) ).
tcf(c_63,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,X0) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f131]) ).
tcf(c_104,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f172]) ).
tcf(c_105,plain,
aNaturalNumber0(sK4),
inference(cnf_transformation,[],[f180]) ).
tcf(c_106,plain,
sdtasdt0(xl,sK4) = xm,
inference(cnf_transformation,[],[f179]) ).
tcf(c_108,plain,
aNaturalNumber0(sK5),
inference(cnf_transformation,[],[f177]) ).
tcf(c_109,plain,
sdtpldt0(xm,xn) = sdtasdt0(xl,sK5),
inference(cnf_transformation,[],[f176]) ).
tcf(c_117,plain,
! [X0: $i] :
( sP0(sK6(X0),X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f181]) ).
tcf(c_123,negated_conjecture,
! [X0: $i] :
( ~ aNaturalNumber0(X0)
| ( sdtasdt0(xl,X0) != xn ) ),
inference(cnf_transformation,[],[f198]) ).
tcf(c_124,negated_conjecture,
~ doDivides0(xl,xn),
inference(cnf_transformation,[],[f197]) ).
tcf(c_128,negated_conjecture,
( sP1(sK9)
| ( sz00 = xl ) ),
inference(cnf_transformation,[],[f193]) ).
tcf(c_2181,definition,
iPr_def_13 = sdtasdt0(xl,sK5),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_2184,definition,
iPr_def_16 = sK8(iPr_def_10,sK9),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_2185,definition,
iPr_def_17 = sdtasdt0(xl,iPr_def_16),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_2206,negated_conjecture,
~ doDivides0(xl,xn),
inference(demodulation,[status(thm)],[c_124]) ).
tcf(c_2207,negated_conjecture,
! [X0: $i] :
( ~ aNaturalNumber0(X0)
| ( sdtasdt0(xl,X0) != xn ) ),
inference(demodulation,[status(thm)],[c_123]) ).
tcf(c_3445,plain,
( ~ aNaturalNumber0(sK5)
| ( xn != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_2181,c_2207]) ).
tcf(c_3446,plain,
xn != iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_3445,c_108]) ).
tcf(c_3562,plain,
( ~ aNaturalNumber0(iPr_def_16)
| ( xn != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2185,c_2207]) ).
tcf(c_3654,plain,
sdtpldt0(xm,xn) = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_109,c_2181]) ).
tcf(c_3696,plain,
sdtpldt0(sz00,xn) = xn,
inference(superposition,[status(thm)],[c_104,c_57]) ).
tcf(c_3934,plain,
sdtasdt0(sz00,sK4) = sz00,
inference(superposition,[status(thm)],[c_105,c_63]) ).
tcf(c_3935,plain,
sdtasdt0(sz00,sK5) = sz00,
inference(superposition,[status(thm)],[c_108,c_63]) ).
fof(f97,definition,
! [X1,X0] :
( ~ sP0(X1,X0)
| ? [X3] :
( xn = sdtasdt0(xl,X3)
& sdtpldt0(sdtasdt0(xl,X0),xn) = sdtpldt0(sdtasdt0(xl,X0),sdtasdt0(xl,X3))
& sdtmndt0(X1,X0) = X3
& sdtpldt0(X0,X3) = X1
& aNaturalNumber0(X3) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f98,definition,
! [X0] :
( ~ sP1(X0)
| ? [X1] :
( sP0(X1,X0)
& sdtlseqdt0(X0,X1)
& ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) )
& X1 = sdtsldt0(sdtpldt0(xm,xn),xl)
& sdtpldt0(xm,xn) = sdtasdt0(xl,X1)
& aNaturalNumber0(X1) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f99,plain,
( ( sz00 = xl
| ? [X0] :
( sP1(X0)
& X0 = sdtsldt0(xm,xl)
& xm = sdtasdt0(xl,X0)
& aNaturalNumber0(X0) ) )
& ~ doDivides0(xl,xn)
& ! [X4] :
( xn != sdtasdt0(xl,X4)
| ~ aNaturalNumber0(X4) ) ),
inference(definition_folding,[],[f96,f98,f97]) ).
fof(f113,plain,
! [X1,X0] :
( ~ sP0(X1,X0)
| ? [X3] :
( xn = sdtasdt0(xl,X3)
& sdtpldt0(sdtasdt0(xl,X0),xn) = sdtpldt0(sdtasdt0(xl,X0),sdtasdt0(xl,X3))
& sdtmndt0(X1,X0) = X3
& sdtpldt0(X0,X3) = X1
& aNaturalNumber0(X3) ) ),
inference(nnf_transformation,[],[f97]) ).
fof(f114,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| ? [X2] :
( xn = sdtasdt0(xl,X2)
& sdtpldt0(sdtasdt0(xl,X1),xn) = sdtpldt0(sdtasdt0(xl,X1),sdtasdt0(xl,X2))
& sdtmndt0(X0,X1) = X2
& sdtpldt0(X1,X2) = X0
& aNaturalNumber0(X2) ) ),
inference(rectify,[],[f113]) ).
fof(f115,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| ( xn = sdtasdt0(xl,sK8(X0,X1))
& sdtpldt0(sdtasdt0(xl,X1),xn) = sdtpldt0(sdtasdt0(xl,X1),sdtasdt0(xl,sK8(X0,X1)))
& sdtmndt0(X0,X1) = sK8(X0,X1)
& sdtpldt0(X1,sK8(X0,X1)) = X0
& aNaturalNumber0(sK8(X0,X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X2,sK8(X0,X1))],[f114]) ).
fof(f188,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| xn = sdtasdt0(xl,sK8(X0,X1)) ),
inference(cnf_transformation,[],[f115]) ).
fof(f192,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| aNaturalNumber0(sK8(X0,X1)) ),
inference(cnf_transformation,[],[f115]) ).
tcf(c_118,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sK8(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f192]) ).
tcf(c_122,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(xl,sK8(X0,X1)) = xn )
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f188]) ).
tcf(c_1116,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(xl,sK8(X1,X2)) = xn )
| ~ sP1(X0)
| ( X0 != X2 )
| ( sK6(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_117,c_122]) ).
tcf(c_1117,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sK8(sK6(X0),X0)) = xn )
| ~ sP1(X0) ),
inference(unflattening,[status(thm)],[c_1116]) ).
tcf(c_1152,plain,
! [X0: $i,X1: $i,X2: $i] :
( aNaturalNumber0(sK8(X1,X2))
| ~ sP1(X0)
| ( X0 != X2 )
| ( sK6(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_117,c_118]) ).
tcf(c_1153,plain,
! [X0: $i] :
( aNaturalNumber0(sK8(sK6(X0),X0))
| ~ sP1(X0) ),
inference(unflattening,[status(thm)],[c_1152]) ).
tcf(c_1171,plain,
! [X0: $i] :
( aNaturalNumber0(sK8(sK6(X0),X0))
| ( sz00 = xl )
| ( X0 != sK9 ) ),
inference(resolution_lifted,[status(thm)],[c_1153,c_128]) ).
tcf(c_1172,plain,
( aNaturalNumber0(sK8(sK6(sK9),sK9))
| ( sz00 = xl ) ),
inference(unflattening,[status(thm)],[c_1171]) ).
tcf(c_1203,plain,
! [X0: $i] :
( ( sz00 = xl )
| ( sdtasdt0(xl,sK8(sK6(X0),X0)) = xn )
| ( X0 != sK9 ) ),
inference(resolution_lifted,[status(thm)],[c_1117,c_128]) ).
tcf(c_1204,plain,
( ( sz00 = xl )
| ( sdtasdt0(xl,sK8(sK6(sK9),sK9)) = xn ) ),
inference(unflattening,[status(thm)],[c_1203]) ).
tcf(c_2198,plain,
( ( iPr_def_17 = xn )
| ( sz00 = xl ) ),
inference(demodulation,[status(thm)],[c_1204,c_2184,c_2185]) ).
tcf(c_2202,plain,
( aNaturalNumber0(iPr_def_16)
| ( sz00 = xl ) ),
inference(demodulation,[status(thm)],[c_1172]) ).
tcf(c_3818,plain,
( ( sz00 = xl )
| ~ aNaturalNumber0(iPr_def_16) ),
inference(superposition,[status(thm)],[c_2198,c_3562]) ).
tcf(c_3827,plain,
( ( sz00 = xl )
| ~ doDivides0(xl,iPr_def_17) ),
inference(superposition,[status(thm)],[c_2198,c_2206]) ).
tcf(c_3876,plain,
sz00 = xl,
inference(global_subsumption_just,[status(thm)],[c_3827,c_2202,c_3818]) ).
tcf(c_3895,plain,
sdtasdt0(sz00,sK5) = iPr_def_13,
inference(demodulation,[status(thm)],[c_2181,c_3876]) ).
tcf(c_3896,plain,
sdtasdt0(sz00,sK4) = xm,
inference(demodulation,[status(thm)],[c_106,c_3876]) ).
tcf(c_3936,plain,
sz00 = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_3935,c_3895]) ).
tcf(c_4104,plain,
xm = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_3896,c_3934,c_3936]) ).
tcf(c_4108,plain,
sdtpldt0(iPr_def_13,xn) = iPr_def_13,
inference(demodulation,[status(thm)],[c_3654,c_4104]) ).
tcf(c_4940,plain,
xn = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_3696,c_3936,c_4108]) ).
tcf(c_4941,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4940,c_3446]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM476+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.39 % Computer : n020.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Thu Sep 24 04:11:18 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 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
% 0.13/0.44
% 0.13/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.44
% 0.13/0.44 % Detected problem language: tptp
% 0.13/0.45 % Proving...
% 3.76/1.31 % SZS status Started for theBenchmark.p
% 3.76/1.31 % SZS status Theorem for theBenchmark.p
% 3.76/1.31
% 3.76/1.31 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.76/1.31
% 3.76/1.31 % ------ iProver source info
% 3.76/1.31
% 3.76/1.31 % git: date: 2026-07-19 20:42:38 +0200
% 3.76/1.31 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.76/1.31 % git: non_committed_changes: false
% 3.76/1.31
% 3.76/1.31 % ------ Parsing...
% 3.76/1.31 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.76/1.31
% 3.76/1.31 % ------ Preprocessing... sup_sim: 3 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e %
% 3.76/1.31
% 3.76/1.31 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.76/1.31
% 3.76/1.31 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.76/1.31 % ------ Proving...
% 3.76/1.31 % ------ Problem Properties
% 3.76/1.31
% 3.76/1.31 %
% 3.76/1.31 % clauses 87
% 3.76/1.31 % conjectures 5
% 3.76/1.31 % EPR 30
% 3.76/1.31 % Horn 60
% 3.76/1.31 % unary 27
% 3.76/1.31 % binary 22
% 3.76/1.31 % lits 242
% 3.76/1.31 % lits eq 89
% 3.76/1.31 % fd_pure 0
% 3.76/1.31 % fd_pseudo 0
% 3.76/1.31 % fd_cond 6
% 3.76/1.31 % fd_pseudo_cond 9
% 3.76/1.31 % AC symbols 0
% 3.76/1.31
% 3.76/1.31 % ------ Schedule dynamic 5 is on
% 3.76/1.31
% 3.76/1.31 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.76/1.31
% 3.76/1.31
% 3.76/1.31 % ------
% 3.76/1.31 % Current options:
% 3.76/1.31 % ------
% 3.76/1.31
% 3.76/1.31
% 3.76/1.31 %
% 3.76/1.31
% 3.76/1.31 % ------ Proving...
% 3.76/1.31 %
% 3.76/1.31
% 3.76/1.31 % SZS status Theorem for theBenchmark.p
% 3.76/1.31
% 3.76/1.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.76/1.31
% 3.76/1.31
%------------------------------------------------------------------------------