TSTP Solution File: KLE113+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : KLE113+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n024.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 : Tue Apr 30 20:24:25 EDT 2024
% Result : Theorem 0.14s 0.33s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 37 ( 37 unt; 0 def)
% Number of atoms : 37 ( 36 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 30 ( 29 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : addition(A,B) = addition(B,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A] : addition(A,zero) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A] : multiplication(A,one) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [A] : multiplication(A,zero) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X0] : multiplication(antidomain(X0),X0) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,conjecture,
! [X0] : forward_diamond(X0,zero) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
~ ! [X0] : forward_diamond(X0,zero) = zero,
inference(negated_conjecture,[status(cth)],[f27]) ).
fof(f29,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f31,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f34,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f38,plain,
! [X0] : multiplication(X0,zero) = zero,
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f44,plain,
! [X0] : multiplication(antidomain(X0),X0) = zero,
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f46,plain,
! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f47,plain,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f54,plain,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f58,plain,
? [X0] : forward_diamond(X0,zero) != zero,
inference(pre_NNF_transformation,[status(esa)],[f28]) ).
fof(f59,plain,
forward_diamond(sk0_0,zero) != zero,
inference(skolemization,[status(esa)],[f58]) ).
fof(f60,plain,
forward_diamond(sk0_0,zero) != zero,
inference(cnf_transformation,[status(esa)],[f59]) ).
fof(f78,plain,
zero = antidomain(one),
inference(paramodulation,[status(thm)],[f44,f34]) ).
fof(f90,plain,
! [X0] : X0 = addition(zero,X0),
inference(paramodulation,[status(thm)],[f31,f29]) ).
fof(f99,plain,
domain(one) = antidomain(zero),
inference(paramodulation,[status(thm)],[f78,f47]) ).
fof(f100,plain,
! [X0] : multiplication(domain(X0),antidomain(X0)) = zero,
inference(paramodulation,[status(thm)],[f47,f44]) ).
fof(f702,plain,
! [X0] : addition(antidomain(X0),antidomain(antidomain(X0))) = one,
inference(forward_demodulation,[status(thm)],[f29,f46]) ).
fof(f703,plain,
! [X0] : addition(antidomain(X0),domain(X0)) = one,
inference(forward_demodulation,[status(thm)],[f47,f702]) ).
fof(f708,plain,
addition(zero,domain(one)) = one,
inference(paramodulation,[status(thm)],[f78,f703]) ).
fof(f709,plain,
domain(one) = one,
inference(forward_demodulation,[status(thm)],[f90,f708]) ).
fof(f710,plain,
antidomain(zero) = one,
inference(forward_demodulation,[status(thm)],[f99,f709]) ).
fof(f738,plain,
multiplication(domain(zero),one) = zero,
inference(paramodulation,[status(thm)],[f710,f100]) ).
fof(f739,plain,
domain(zero) = zero,
inference(forward_demodulation,[status(thm)],[f34,f738]) ).
fof(f796,plain,
! [X0] : forward_diamond(X0,zero) = domain(multiplication(X0,zero)),
inference(paramodulation,[status(thm)],[f739,f54]) ).
fof(f797,plain,
! [X0] : forward_diamond(X0,zero) = domain(zero),
inference(forward_demodulation,[status(thm)],[f38,f796]) ).
fof(f798,plain,
! [X0] : forward_diamond(X0,zero) = zero,
inference(forward_demodulation,[status(thm)],[f739,f797]) ).
fof(f859,plain,
zero != zero,
inference(backward_demodulation,[status(thm)],[f798,f60]) ).
fof(f860,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f859]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : KLE113+1 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n024.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 Apr 30 00:58:36 EDT 2024
% 0.09/0.31 % CPUTime :
% 0.14/0.31 % Drodi V3.6.0
% 0.14/0.33 % Refutation found
% 0.14/0.33 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.33 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.34 % Elapsed time: 0.025902 seconds
% 0.14/0.34 % CPU time: 0.087937 seconds
% 0.14/0.34 % Total memory used: 19.183 MB
% 0.14/0.34 % Net memory used: 18.990 MB
%------------------------------------------------------------------------------