TSTP Solution File: CAT010-10 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : CAT010-10 : TPTP v8.1.2. Released v7.3.0.
% 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 : Tue Apr 30 20:13:19 EDT 2024
% Result : Unsatisfiable 0.21s 0.43s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 31 ( 31 unt; 0 def)
% Number of atoms : 31 ( 30 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-4 aty)
% Number of variables : 35 ( 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [A,B,C] : ifeq2(A,A,B,C) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B,C] : ifeq(A,A,B,C) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] : ifeq(there_exists(domain(X)),true,there_exists(X),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,Y] : ifeq(there_exists(compose(X,Y)),true,there_exists(domain(X)),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X,Y] : ifeq2(there_exists(compose(X,Y)),true,domain(X),codomain(Y)) = codomain(Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X,Y,Z] : compose(X,compose(Y,Z)) = compose(compose(X,Y),Z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X] : compose(codomain(X),X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,hypothesis,
there_exists(compose(a,b)) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
codomain(compose(a,b)) != codomain(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,plain,
! [X0,X1,X2] : ifeq2(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f19,plain,
! [X0,X1,X2] : ifeq(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f23,plain,
! [X0] : ifeq(there_exists(domain(X0)),true,there_exists(X0),true) = true,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f25,plain,
! [X0,X1] : ifeq(there_exists(compose(X0,X1)),true,there_exists(domain(X0)),true) = true,
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f26,plain,
! [X0,X1] : ifeq2(there_exists(compose(X0,X1)),true,domain(X0),codomain(X1)) = codomain(X1),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f28,plain,
! [X0,X1,X2] : compose(X0,compose(X1,X2)) = compose(compose(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f30,plain,
! [X0] : compose(codomain(X0),X0) = X0,
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f31,plain,
there_exists(compose(a,b)) = true,
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f32,plain,
codomain(compose(a,b)) != codomain(a),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f34,plain,
! [X0,X1] : compose(codomain(X0),compose(X0,X1)) = compose(X0,X1),
inference(paramodulation,[status(thm)],[f30,f28]) ).
fof(f388,plain,
true = ifeq(true,true,there_exists(domain(a)),true),
inference(paramodulation,[status(thm)],[f31,f25]) ).
fof(f405,plain,
true = there_exists(domain(a)),
inference(forward_demodulation,[status(thm)],[f19,f388]) ).
fof(f414,plain,
! [X0,X1] : codomain(compose(X0,X1)) = ifeq2(there_exists(compose(X0,X1)),true,domain(codomain(X0)),codomain(compose(X0,X1))),
inference(paramodulation,[status(thm)],[f34,f26]) ).
fof(f415,plain,
! [X0] : codomain(X0) = ifeq2(there_exists(X0),true,domain(codomain(X0)),codomain(X0)),
inference(paramodulation,[status(thm)],[f30,f26]) ).
fof(f443,plain,
true = ifeq(true,true,there_exists(a),true),
inference(paramodulation,[status(thm)],[f405,f23]) ).
fof(f449,plain,
true = there_exists(a),
inference(forward_demodulation,[status(thm)],[f19,f443]) ).
fof(f832,plain,
codomain(a) = ifeq2(true,true,domain(codomain(a)),codomain(a)),
inference(paramodulation,[status(thm)],[f449,f415]) ).
fof(f846,plain,
codomain(a) = domain(codomain(a)),
inference(forward_demodulation,[status(thm)],[f18,f832]) ).
fof(f1724,plain,
codomain(compose(a,b)) = ifeq2(true,true,domain(codomain(a)),codomain(compose(a,b))),
inference(paramodulation,[status(thm)],[f31,f414]) ).
fof(f1766,plain,
codomain(compose(a,b)) = domain(codomain(a)),
inference(forward_demodulation,[status(thm)],[f18,f1724]) ).
fof(f1767,plain,
codomain(compose(a,b)) = codomain(a),
inference(forward_demodulation,[status(thm)],[f846,f1766]) ).
fof(f1768,plain,
$false,
inference(resolution,[status(thm)],[f1767,f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : CAT010-10 : TPTP v8.1.2. Released v7.3.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n025.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 22:31:41 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.21/0.43 % Refutation found
% 0.21/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.44 % Elapsed time: 0.085522 seconds
% 0.21/0.44 % CPU time: 0.591688 seconds
% 0.21/0.44 % Total memory used: 26.896 MB
% 0.21/0.44 % Net memory used: 26.588 MB
%------------------------------------------------------------------------------