TSTP Solution File: NUM925+8 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM925+8 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:31:01 EDT 2023
% Result : Theorem 18.96s 3.60s
% Output : CNFRefutation 20.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 16
% Syntax : Number of formulae : 79 ( 40 unt; 0 def)
% Number of atoms : 151 ( 123 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 124 ( 52 ~; 47 |; 16 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 6 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-4 aty)
% Number of variables : 65 (; 65 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f302,axiom,
! [M,N] : hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),hAPP(nat,int,semiring_1_of_nat(int),M)),N) = hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),power_power(nat),M),N)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f305,axiom,
! [M,N] : hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,semiring_1_of_nat(int),M)),hAPP(nat,int,semiring_1_of_nat(int),N)) = hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),N)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f306,axiom,
hAPP(nat,int,semiring_1_of_nat(int),one_one(nat)) = one_one(int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f309,axiom,
! [Na] :
( hAPP(nat,int,semiring_1_of_nat(int),Na) = zero_zero(int)
<=> Na = zero_zero(nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f329,axiom,
! [Z_1,W] : hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),Z_1),W) = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),W),Z_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f358,axiom,
pls = zero_zero(int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f439,axiom,
! [Ma,Na] :
( hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),Ma),Na) = zero_zero(nat)
<=> ( Ma = zero_zero(nat)
& Na = zero_zero(nat) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f477,axiom,
! [Xa,Na] :
( hAPP(nat,nat,hAPP(nat,fun(nat,nat),power_power(nat),Xa),Na) = one_one(nat)
<=> ( Xa = one_one(nat)
| Na = zero_zero(nat) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f619,axiom,
! [Ma,Na] :
( hAPP(nat,nat,hAPP(nat,fun(nat,nat),power_power(nat),Ma),Na) = zero_zero(nat)
<=> ( Na != zero_zero(nat)
& Ma = zero_zero(nat) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1732,axiom,
! [M] : hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,suc,M)) = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),one_one(int)),hAPP(nat,int,semiring_1_of_nat(int),M)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5747,conjecture,
hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),one_one(int)),hAPP(nat,int,semiring_1_of_nat(int),n))),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls)))) != zero_zero(int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5748,negated_conjecture,
~ ( hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),one_one(int)),hAPP(nat,int,semiring_1_of_nat(int),n))),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls)))) != zero_zero(int) ),
inference(negated_conjecture,[status(cth)],[f5747]) ).
fof(f6156,plain,
! [X0,X1] : hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),hAPP(nat,int,semiring_1_of_nat(int),X0)),X1) = hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),power_power(nat),X0),X1)),
inference(cnf_transformation,[status(esa)],[f302]) ).
fof(f6159,plain,
! [X0,X1] : hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,semiring_1_of_nat(int),X0)),hAPP(nat,int,semiring_1_of_nat(int),X1)) = hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X0),X1)),
inference(cnf_transformation,[status(esa)],[f305]) ).
fof(f6160,plain,
hAPP(nat,int,semiring_1_of_nat(int),one_one(nat)) = one_one(int),
inference(cnf_transformation,[status(esa)],[f306]) ).
fof(f6163,plain,
! [Na] :
( ( hAPP(nat,int,semiring_1_of_nat(int),Na) != zero_zero(int)
| Na = zero_zero(nat) )
& ( hAPP(nat,int,semiring_1_of_nat(int),Na) = zero_zero(int)
| Na != zero_zero(nat) ) ),
inference(NNF_transformation,[status(esa)],[f309]) ).
fof(f6164,plain,
( ! [Na] :
( hAPP(nat,int,semiring_1_of_nat(int),Na) != zero_zero(int)
| Na = zero_zero(nat) )
& ! [Na] :
( hAPP(nat,int,semiring_1_of_nat(int),Na) = zero_zero(int)
| Na != zero_zero(nat) ) ),
inference(miniscoping,[status(esa)],[f6163]) ).
fof(f6165,plain,
! [X0] :
( hAPP(nat,int,semiring_1_of_nat(int),X0) != zero_zero(int)
| X0 = zero_zero(nat) ),
inference(cnf_transformation,[status(esa)],[f6164]) ).
fof(f6166,plain,
! [X0] :
( hAPP(nat,int,semiring_1_of_nat(int),X0) = zero_zero(int)
| X0 != zero_zero(nat) ),
inference(cnf_transformation,[status(esa)],[f6164]) ).
fof(f6222,plain,
! [X0,X1] : hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X0),X1) = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),X0),
inference(cnf_transformation,[status(esa)],[f329]) ).
fof(f6313,plain,
pls = zero_zero(int),
inference(cnf_transformation,[status(esa)],[f358]) ).
fof(f6517,plain,
! [Ma,Na] :
( ( hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),Ma),Na) != zero_zero(nat)
| ( Ma = zero_zero(nat)
& Na = zero_zero(nat) ) )
& ( hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),Ma),Na) = zero_zero(nat)
| Ma != zero_zero(nat)
| Na != zero_zero(nat) ) ),
inference(NNF_transformation,[status(esa)],[f439]) ).
fof(f6518,plain,
( ! [Ma,Na] :
( hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),Ma),Na) != zero_zero(nat)
| ( Ma = zero_zero(nat)
& Na = zero_zero(nat) ) )
& ! [Ma,Na] :
( hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),Ma),Na) = zero_zero(nat)
| Ma != zero_zero(nat)
| Na != zero_zero(nat) ) ),
inference(miniscoping,[status(esa)],[f6517]) ).
fof(f6520,plain,
! [X0,X1] :
( hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X0),X1) != zero_zero(nat)
| X1 = zero_zero(nat) ),
inference(cnf_transformation,[status(esa)],[f6518]) ).
fof(f6623,plain,
! [Xa,Na] :
( ( hAPP(nat,nat,hAPP(nat,fun(nat,nat),power_power(nat),Xa),Na) != one_one(nat)
| Xa = one_one(nat)
| Na = zero_zero(nat) )
& ( hAPP(nat,nat,hAPP(nat,fun(nat,nat),power_power(nat),Xa),Na) = one_one(nat)
| ( Xa != one_one(nat)
& Na != zero_zero(nat) ) ) ),
inference(NNF_transformation,[status(esa)],[f477]) ).
fof(f6624,plain,
( ! [Xa,Na] :
( hAPP(nat,nat,hAPP(nat,fun(nat,nat),power_power(nat),Xa),Na) != one_one(nat)
| Xa = one_one(nat)
| Na = zero_zero(nat) )
& ! [Xa,Na] :
( hAPP(nat,nat,hAPP(nat,fun(nat,nat),power_power(nat),Xa),Na) = one_one(nat)
| ( Xa != one_one(nat)
& Na != zero_zero(nat) ) ) ),
inference(miniscoping,[status(esa)],[f6623]) ).
fof(f6627,plain,
! [X0,X1] :
( hAPP(nat,nat,hAPP(nat,fun(nat,nat),power_power(nat),X0),X1) = one_one(nat)
| X1 != zero_zero(nat) ),
inference(cnf_transformation,[status(esa)],[f6624]) ).
fof(f7072,plain,
! [Ma,Na] :
( ( hAPP(nat,nat,hAPP(nat,fun(nat,nat),power_power(nat),Ma),Na) != zero_zero(nat)
| ( Na != zero_zero(nat)
& Ma = zero_zero(nat) ) )
& ( hAPP(nat,nat,hAPP(nat,fun(nat,nat),power_power(nat),Ma),Na) = zero_zero(nat)
| Na = zero_zero(nat)
| Ma != zero_zero(nat) ) ),
inference(NNF_transformation,[status(esa)],[f619]) ).
fof(f7073,plain,
( ! [Ma,Na] :
( hAPP(nat,nat,hAPP(nat,fun(nat,nat),power_power(nat),Ma),Na) != zero_zero(nat)
| ( Na != zero_zero(nat)
& Ma = zero_zero(nat) ) )
& ! [Ma,Na] :
( hAPP(nat,nat,hAPP(nat,fun(nat,nat),power_power(nat),Ma),Na) = zero_zero(nat)
| Na = zero_zero(nat)
| Ma != zero_zero(nat) ) ),
inference(miniscoping,[status(esa)],[f7072]) ).
fof(f7074,plain,
! [X0,X1] :
( hAPP(nat,nat,hAPP(nat,fun(nat,nat),power_power(nat),X0),X1) != zero_zero(nat)
| X1 != zero_zero(nat) ),
inference(cnf_transformation,[status(esa)],[f7073]) ).
fof(f7075,plain,
! [X0,X1] :
( hAPP(nat,nat,hAPP(nat,fun(nat,nat),power_power(nat),X0),X1) != zero_zero(nat)
| X0 = zero_zero(nat) ),
inference(cnf_transformation,[status(esa)],[f7073]) ).
fof(f10296,plain,
! [X0] : hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,suc,X0)) = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),one_one(int)),hAPP(nat,int,semiring_1_of_nat(int),X0)),
inference(cnf_transformation,[status(esa)],[f1732]) ).
fof(f20963,plain,
hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),one_one(int)),hAPP(nat,int,semiring_1_of_nat(int),n))),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls)))) = zero_zero(int),
inference(cnf_transformation,[status(esa)],[f5748]) ).
fof(f21366,plain,
( spl0_8
<=> one_one(nat) = zero_zero(nat) ),
introduced(split_symbol_definition) ).
fof(f21367,plain,
( one_one(nat) = zero_zero(nat)
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f21366]) ).
fof(f21370,plain,
hAPP(nat,int,semiring_1_of_nat(int),zero_zero(nat)) = zero_zero(int),
inference(destructive_equality_resolution,[status(esa)],[f6166]) ).
fof(f21384,plain,
! [X0] : hAPP(nat,nat,hAPP(nat,fun(nat,nat),power_power(nat),X0),zero_zero(nat)) = one_one(nat),
inference(destructive_equality_resolution,[status(esa)],[f6627]) ).
fof(f21386,plain,
! [X0] : hAPP(nat,nat,hAPP(nat,fun(nat,nat),power_power(nat),X0),zero_zero(nat)) != zero_zero(nat),
inference(destructive_equality_resolution,[status(esa)],[f7074]) ).
fof(f21617,plain,
hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),one_one(int)),hAPP(nat,int,semiring_1_of_nat(int),n))),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls)))) = pls,
inference(backward_demodulation,[status(thm)],[f6313,f20963]) ).
fof(f21619,plain,
hAPP(nat,int,semiring_1_of_nat(int),zero_zero(nat)) = pls,
inference(forward_demodulation,[status(thm)],[f6313,f21370]) ).
fof(f21625,plain,
( spl0_10
<=> pls = pls ),
introduced(split_symbol_definition) ).
fof(f21627,plain,
( pls != pls
| spl0_10 ),
inference(component_clause,[status(thm)],[f21625]) ).
fof(f21630,plain,
( $false
| spl0_10 ),
inference(trivial_equality_resolution,[status(esa)],[f21627]) ).
fof(f21631,plain,
spl0_10,
inference(contradiction_clause,[status(thm)],[f21630]) ).
fof(f21634,plain,
! [X0] :
( hAPP(nat,int,semiring_1_of_nat(int),X0) != pls
| X0 = zero_zero(nat) ),
inference(forward_demodulation,[status(thm)],[f6313,f6165]) ).
fof(f21635,plain,
( spl0_11
<=> zero_zero(nat) = zero_zero(nat) ),
introduced(split_symbol_definition) ).
fof(f21638,plain,
( pls != pls
| zero_zero(nat) = zero_zero(nat) ),
inference(paramodulation,[status(thm)],[f21619,f21634]) ).
fof(f21639,plain,
( ~ spl0_10
| spl0_11 ),
inference(split_clause,[status(thm)],[f21638,f21625,f21635]) ).
fof(f21671,plain,
hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,suc,n))),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls)))) = pls,
inference(backward_demodulation,[status(thm)],[f10296,f21617]) ).
fof(f21703,plain,
hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),power_power(nat),hAPP(nat,nat,suc,n)),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))) = pls,
inference(backward_demodulation,[status(thm)],[f6156,f21671]) ).
fof(f21762,plain,
one_one(nat) != zero_zero(nat),
inference(forward_demodulation,[status(thm)],[f21384,f21386]) ).
fof(f21873,plain,
hAPP(nat,nat,hAPP(nat,fun(nat,nat),power_power(nat),hAPP(nat,nat,suc,n)),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls)))) = zero_zero(nat),
inference(resolution,[status(thm)],[f21703,f21634]) ).
fof(f21882,plain,
! [X0] : hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),pls),X0) = hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),power_power(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),power_power(nat),hAPP(nat,nat,suc,n)),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),X0)),
inference(paramodulation,[status(thm)],[f21703,f6156]) ).
fof(f21898,plain,
hAPP(nat,nat,suc,n) = zero_zero(nat),
inference(resolution,[status(thm)],[f21873,f7075]) ).
fof(f21904,plain,
hAPP(nat,nat,hAPP(nat,fun(nat,nat),power_power(nat),zero_zero(nat)),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls)))) = zero_zero(nat),
inference(backward_demodulation,[status(thm)],[f21898,f21873]) ).
fof(f22125,plain,
! [X0] : hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),pls),X0) = hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),power_power(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),power_power(nat),zero_zero(nat)),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),X0)),
inference(forward_demodulation,[status(thm)],[f21898,f21882]) ).
fof(f22126,plain,
! [X0] : hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),pls),X0) = hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),power_power(nat),zero_zero(nat)),X0)),
inference(forward_demodulation,[status(thm)],[f21904,f22125]) ).
fof(f22132,plain,
hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),pls),zero_zero(nat)) = hAPP(nat,int,semiring_1_of_nat(int),one_one(nat)),
inference(paramodulation,[status(thm)],[f21384,f22126]) ).
fof(f22133,plain,
hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),pls),zero_zero(nat)) = one_one(int),
inference(forward_demodulation,[status(thm)],[f6160,f22132]) ).
fof(f22156,plain,
! [X0,X1] : hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,semiring_1_of_nat(int),X0)),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),pls),X1)) = hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X0),hAPP(nat,nat,hAPP(nat,fun(nat,nat),power_power(nat),zero_zero(nat)),X1))),
inference(paramodulation,[status(thm)],[f22126,f6159]) ).
fof(f23242,plain,
! [X0] : hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,semiring_1_of_nat(int),X0)),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),pls),zero_zero(nat))) = hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X0),one_one(nat))),
inference(paramodulation,[status(thm)],[f21384,f22156]) ).
fof(f23243,plain,
! [X0] : hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,semiring_1_of_nat(int),X0)),one_one(int)) = hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X0),one_one(nat))),
inference(forward_demodulation,[status(thm)],[f22133,f23242]) ).
fof(f23244,plain,
! [X0] : hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),one_one(int)),hAPP(nat,int,semiring_1_of_nat(int),X0)) = hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X0),one_one(nat))),
inference(forward_demodulation,[status(thm)],[f6222,f23243]) ).
fof(f23245,plain,
! [X0] : hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,suc,X0)) = hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X0),one_one(nat))),
inference(forward_demodulation,[status(thm)],[f10296,f23244]) ).
fof(f23585,plain,
! [X0] :
( hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,suc,X0)) != pls
| hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X0),one_one(nat)) = zero_zero(nat) ),
inference(paramodulation,[status(thm)],[f23245,f21634]) ).
fof(f23591,plain,
( spl0_100
<=> hAPP(nat,int,semiring_1_of_nat(int),zero_zero(nat)) = pls ),
introduced(split_symbol_definition) ).
fof(f23593,plain,
( hAPP(nat,int,semiring_1_of_nat(int),zero_zero(nat)) != pls
| spl0_100 ),
inference(component_clause,[status(thm)],[f23591]) ).
fof(f23594,plain,
( spl0_101
<=> hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),n),one_one(nat)) = zero_zero(nat) ),
introduced(split_symbol_definition) ).
fof(f23595,plain,
( hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),n),one_one(nat)) = zero_zero(nat)
| ~ spl0_101 ),
inference(component_clause,[status(thm)],[f23594]) ).
fof(f23597,plain,
( hAPP(nat,int,semiring_1_of_nat(int),zero_zero(nat)) != pls
| hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),n),one_one(nat)) = zero_zero(nat) ),
inference(paramodulation,[status(thm)],[f21898,f23585]) ).
fof(f23598,plain,
( ~ spl0_100
| spl0_101 ),
inference(split_clause,[status(thm)],[f23597,f23591,f23594]) ).
fof(f23607,plain,
( pls != pls
| spl0_100 ),
inference(forward_demodulation,[status(thm)],[f21619,f23593]) ).
fof(f23608,plain,
( $false
| spl0_100 ),
inference(trivial_equality_resolution,[status(esa)],[f23607]) ).
fof(f23609,plain,
spl0_100,
inference(contradiction_clause,[status(thm)],[f23608]) ).
fof(f23641,plain,
( zero_zero(nat) != zero_zero(nat)
| one_one(nat) = zero_zero(nat)
| ~ spl0_101 ),
inference(paramodulation,[status(thm)],[f23595,f6520]) ).
fof(f23642,plain,
( ~ spl0_11
| spl0_8
| ~ spl0_101 ),
inference(split_clause,[status(thm)],[f23641,f21635,f21366,f23594]) ).
fof(f23652,plain,
( $false
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f21367,f21762]) ).
fof(f23653,plain,
~ spl0_8,
inference(contradiction_clause,[status(thm)],[f23652]) ).
fof(f23654,plain,
$false,
inference(sat_refutation,[status(thm)],[f21631,f21639,f23598,f23609,f23642,f23653]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : NUM925+8 : TPTP v8.1.2. Released v5.3.0.
% 0.08/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n025.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue May 30 10:11:57 EDT 2023
% 0.09/0.31 % CPUTime :
% 1.00/1.18 % Drodi V3.5.1
% 18.96/3.60 % Refutation found
% 18.96/3.60 % SZS status Theorem for theBenchmark: Theorem is valid
% 18.96/3.60 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 20.61/3.84 % Elapsed time: 3.514926 seconds
% 20.61/3.84 % CPU time: 19.949362 seconds
% 20.61/3.84 % Memory used: 1.012 GB
%------------------------------------------------------------------------------