TSTP Solution File: KLE063+1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : KLE063+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.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 12:15:41 EDT 2023
% Result : Theorem 0.18s 0.47s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 11
% Syntax : Number of formulae : 64 ( 60 unt; 0 def)
% Number of atoms : 68 ( 67 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 85 (; 83 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : addition(A,B) = addition(B,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [C,B,A] : addition(A,addition(B,C)) = addition(addition(A,B),C),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A] : multiplication(A,one) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A] : multiplication(one,A) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X0] : addition(domain(X0),one) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,conjecture,
! [X0,X1] :
( addition(X0,multiplication(domain(X1),X0)) = multiplication(domain(X1),X0)
=> addition(domain(X0),domain(X1)) = domain(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
~ ! [X0,X1] :
( addition(X0,multiplication(domain(X1),X0)) = multiplication(domain(X1),X0)
=> addition(domain(X0),domain(X1)) = domain(X1) ),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f20,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f21,plain,
! [X0,X1,X2] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f25,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f26,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f27,plain,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f28,plain,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f35,plain,
! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f36,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f37,plain,
! [X0] : addition(domain(X0),one) = one,
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f39,plain,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f40,plain,
? [X0,X1] :
( addition(X0,multiplication(domain(X1),X0)) = multiplication(domain(X1),X0)
& addition(domain(X0),domain(X1)) != domain(X1) ),
inference(pre_NNF_transformation,[status(esa)],[f19]) ).
fof(f41,plain,
( addition(sk0_0,multiplication(domain(sk0_1),sk0_0)) = multiplication(domain(sk0_1),sk0_0)
& addition(domain(sk0_0),domain(sk0_1)) != domain(sk0_1) ),
inference(skolemization,[status(esa)],[f40]) ).
fof(f42,plain,
addition(sk0_0,multiplication(domain(sk0_1),sk0_0)) = multiplication(domain(sk0_1),sk0_0),
inference(cnf_transformation,[status(esa)],[f41]) ).
fof(f43,plain,
addition(domain(sk0_0),domain(sk0_1)) != domain(sk0_1),
inference(cnf_transformation,[status(esa)],[f41]) ).
fof(f44,plain,
! [X0] : addition(one,domain(X0)) = one,
inference(forward_demodulation,[status(thm)],[f20,f37]) ).
fof(f45,plain,
domain(addition(sk0_0,sk0_1)) != domain(sk0_1),
inference(forward_demodulation,[status(thm)],[f39,f43]) ).
fof(f53,plain,
! [X0] : addition(sk0_0,addition(multiplication(domain(sk0_1),sk0_0),X0)) = addition(multiplication(domain(sk0_1),sk0_0),X0),
inference(paramodulation,[status(thm)],[f42,f21]) ).
fof(f54,plain,
! [X0,X1,X2] : addition(X0,addition(X1,X2)) = addition(addition(X1,X0),X2),
inference(paramodulation,[status(thm)],[f20,f21]) ).
fof(f55,plain,
! [X0,X1,X2] : addition(X0,addition(X1,X2)) = addition(X1,addition(X0,X2)),
inference(forward_demodulation,[status(thm)],[f21,f54]) ).
fof(f114,plain,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X1),domain(X0)),
inference(paramodulation,[status(thm)],[f20,f39]) ).
fof(f115,plain,
! [X0,X1] : domain(addition(X0,X1)) = domain(addition(X1,X0)),
inference(forward_demodulation,[status(thm)],[f39,f114]) ).
fof(f290,plain,
! [X0] : addition(X0,multiplication(domain(sk0_1),sk0_0)) = addition(sk0_0,addition(X0,multiplication(domain(sk0_1),sk0_0))),
inference(paramodulation,[status(thm)],[f42,f55]) ).
fof(f750,plain,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X1,X2),multiplication(X0,X2)),
inference(paramodulation,[status(thm)],[f20,f28]) ).
fof(f751,plain,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = multiplication(addition(X1,X0),X2),
inference(forward_demodulation,[status(thm)],[f28,f750]) ).
fof(f820,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(paramodulation,[status(thm)],[f25,f27]) ).
fof(f822,plain,
! [X0] : domain(multiplication(one,X0)) = domain(domain(X0)),
inference(paramodulation,[status(thm)],[f26,f36]) ).
fof(f823,plain,
! [X0] : domain(X0) = domain(domain(X0)),
inference(forward_demodulation,[status(thm)],[f26,f822]) ).
fof(f824,plain,
! [X0,X1] : multiplication(addition(X0,one),X1) = addition(multiplication(X0,X1),X1),
inference(paramodulation,[status(thm)],[f26,f28]) ).
fof(f825,plain,
! [X0,X1] : multiplication(addition(X0,one),X1) = addition(X1,multiplication(X0,X1)),
inference(forward_demodulation,[status(thm)],[f20,f824]) ).
fof(f911,plain,
! [X0,X1] : domain(addition(domain(X0),X1)) = addition(domain(X0),domain(X1)),
inference(paramodulation,[status(thm)],[f823,f39]) ).
fof(f912,plain,
! [X0,X1] : domain(addition(domain(X0),X1)) = domain(addition(X0,X1)),
inference(forward_demodulation,[status(thm)],[f39,f911]) ).
fof(f1280,plain,
addition(one,domain(one)) = multiplication(domain(one),one),
inference(paramodulation,[status(thm)],[f25,f35]) ).
fof(f1281,plain,
one = multiplication(domain(one),one),
inference(forward_demodulation,[status(thm)],[f44,f1280]) ).
fof(f1282,plain,
one = domain(one),
inference(forward_demodulation,[status(thm)],[f25,f1281]) ).
fof(f1457,plain,
! [X0] : addition(sk0_0,multiplication(addition(domain(sk0_1),X0),sk0_0)) = addition(multiplication(domain(sk0_1),sk0_0),multiplication(X0,sk0_0)),
inference(paramodulation,[status(thm)],[f28,f53]) ).
fof(f1458,plain,
! [X0] : addition(sk0_0,multiplication(addition(domain(sk0_1),X0),sk0_0)) = multiplication(addition(domain(sk0_1),X0),sk0_0),
inference(forward_demodulation,[status(thm)],[f28,f1457]) ).
fof(f1878,plain,
! [X0] : domain(addition(one,X0)) = addition(one,domain(X0)),
inference(paramodulation,[status(thm)],[f1282,f39]) ).
fof(f1879,plain,
! [X0] : domain(addition(one,X0)) = one,
inference(forward_demodulation,[status(thm)],[f44,f1878]) ).
fof(f1946,plain,
! [X0,X1] : domain(multiplication(X0,addition(one,X1))) = domain(multiplication(X0,one)),
inference(paramodulation,[status(thm)],[f1879,f36]) ).
fof(f1947,plain,
! [X0,X1] : domain(multiplication(X0,addition(one,X1))) = domain(X0),
inference(forward_demodulation,[status(thm)],[f25,f1946]) ).
fof(f3143,plain,
! [X0,X1] : domain(addition(X0,multiplication(X0,X1))) = domain(X0),
inference(paramodulation,[status(thm)],[f820,f1947]) ).
fof(f3529,plain,
addition(sk0_0,addition(sk0_0,multiplication(domain(sk0_1),sk0_0))) = multiplication(addition(domain(sk0_1),one),sk0_0),
inference(paramodulation,[status(thm)],[f825,f1458]) ).
fof(f3530,plain,
addition(sk0_0,multiplication(domain(sk0_1),sk0_0)) = multiplication(addition(domain(sk0_1),one),sk0_0),
inference(forward_demodulation,[status(thm)],[f290,f3529]) ).
fof(f3531,plain,
multiplication(domain(sk0_1),sk0_0) = multiplication(addition(domain(sk0_1),one),sk0_0),
inference(forward_demodulation,[status(thm)],[f42,f3530]) ).
fof(f3532,plain,
multiplication(domain(sk0_1),sk0_0) = multiplication(addition(one,domain(sk0_1)),sk0_0),
inference(forward_demodulation,[status(thm)],[f751,f3531]) ).
fof(f3533,plain,
multiplication(domain(sk0_1),sk0_0) = multiplication(one,sk0_0),
inference(forward_demodulation,[status(thm)],[f44,f3532]) ).
fof(f3534,plain,
multiplication(domain(sk0_1),sk0_0) = sk0_0,
inference(forward_demodulation,[status(thm)],[f26,f3533]) ).
fof(f3760,plain,
domain(addition(domain(sk0_1),sk0_0)) = domain(domain(sk0_1)),
inference(paramodulation,[status(thm)],[f3534,f3143]) ).
fof(f3761,plain,
domain(addition(sk0_1,sk0_0)) = domain(domain(sk0_1)),
inference(forward_demodulation,[status(thm)],[f912,f3760]) ).
fof(f3762,plain,
domain(addition(sk0_0,sk0_1)) = domain(domain(sk0_1)),
inference(forward_demodulation,[status(thm)],[f115,f3761]) ).
fof(f3763,plain,
domain(addition(sk0_0,sk0_1)) = domain(sk0_1),
inference(forward_demodulation,[status(thm)],[f823,f3762]) ).
fof(f3764,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f3763,f45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE063+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.32 % Computer : n008.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue May 30 11:50:08 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Drodi V3.5.1
% 0.18/0.47 % Refutation found
% 0.18/0.47 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.49 % Elapsed time: 0.163015 seconds
% 0.18/0.49 % CPU time: 1.163487 seconds
% 0.18/0.49 % Memory used: 50.217 MB
%------------------------------------------------------------------------------