TSTP Solution File: ALG387-1 by lazyCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : lazyCoP---0.1
% Problem  : ALG387-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop

% Computer : n028.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  : 600s
% DateTime : Thu Jul 14 17:21:21 EDT 2022

% Result   : Unsatisfiable 1.46s 0.56s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : ALG387-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12  % Command  : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.12/0.33  % Computer : n028.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Wed Jun  8 13:42:01 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.46/0.56  % SZS status Unsatisfiable
% 1.46/0.56  % SZS output begin IncompleteProof
% 1.46/0.56  cnf(c0, axiom,
% 1.46/0.56  	~c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),hAPP(v_x,X0),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)).
% 1.46/0.56  cnf(c1, plain,
% 1.46/0.56  	~c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),hAPP(v_x,X0),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
% 1.46/0.56  	inference(start, [], [c0])).
% 1.46/0.56  
% 1.46/0.56  cnf(c2, axiom,
% 1.46/0.56  	~c_lessequals(v_r____,c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal) | c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)).
% 1.46/0.56  cnf(a0, assumption,
% 1.46/0.56  	c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex)).
% 1.46/0.56  cnf(a1, assumption,
% 1.46/0.56  	c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),hAPP(v_x,X0),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)).
% 1.46/0.56  cnf(a2, assumption,
% 1.46/0.56  	tc_RealDef_Oreal = tc_RealDef_Oreal).
% 1.46/0.56  cnf(c3, plain,
% 1.46/0.56  	$false,
% 1.46/0.56  	inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 1.46/0.56  cnf(c4, plain,
% 1.46/0.56  	~c_lessequals(v_r____,c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal),
% 1.46/0.56  	inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 1.46/0.56  
% 1.46/0.56  cnf(c5, axiom,
% 1.46/0.56  	c_lessequals(X2,c_RealVector_Onorm__class_Onorm(X3,tc_Complex_Ocomplex),tc_RealDef_Oreal) | c_lessequals(c_RealVector_Onorm__class_Onorm(X3,tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)).
% 1.46/0.56  cnf(a3, assumption,
% 1.46/0.56  	v_r____ = X2).
% 1.46/0.56  cnf(a4, assumption,
% 1.46/0.56  	c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex) = c_RealVector_Onorm__class_Onorm(X3,tc_Complex_Ocomplex)).
% 1.46/0.56  cnf(a5, assumption,
% 1.46/0.56  	tc_RealDef_Oreal = tc_RealDef_Oreal).
% 1.46/0.56  cnf(c6, plain,
% 1.46/0.56  	$false,
% 1.46/0.56  	inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])).
% 1.46/0.56  cnf(c7, plain,
% 1.46/0.56  	c_lessequals(c_RealVector_Onorm__class_Onorm(X3,tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),
% 1.46/0.56  	inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])).
% 1.46/0.56  
% 1.46/0.56  cnf(c8, axiom,
% 1.46/0.56  	~c_lessequals(c_RealVector_Onorm__class_Onorm(X4,tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(v_r____,tc_RealDef_Oreal),tc_RealDef_Oreal) | c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)).
% 1.46/0.56  cnf(a6, assumption,
% 1.46/0.56  	c_RealVector_Onorm__class_Onorm(X3,tc_Complex_Ocomplex) = c_RealVector_Onorm__class_Onorm(X4,tc_Complex_Ocomplex)).
% 1.46/0.56  cnf(a7, assumption,
% 1.46/0.56  	c_HOL_Oabs__class_Oabs(X2,tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(v_r____,tc_RealDef_Oreal)).
% 1.46/0.56  cnf(a8, assumption,
% 1.46/0.56  	tc_RealDef_Oreal = tc_RealDef_Oreal).
% 1.46/0.56  cnf(c9, plain,
% 1.46/0.56  	$false,
% 1.46/0.56  	inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c7, c8])).
% 1.46/0.56  cnf(c10, plain,
% 1.46/0.56  	c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
% 1.46/0.56  	inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c7, c8])).
% 1.46/0.56  
% 1.46/0.56  cnf(c11, plain,
% 1.46/0.56  	~c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),hAPP(v_x,X0),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)).
% 1.46/0.56  cnf(a9, assumption,
% 1.46/0.56  	c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)).
% 1.46/0.56  cnf(a10, assumption,
% 1.46/0.56  	c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),hAPP(v_x,X0),tc_Complex_Ocomplex),tc_Complex_Ocomplex)).
% 1.46/0.56  cnf(a11, assumption,
% 1.46/0.56  	tc_RealDef_Oreal = tc_RealDef_Oreal).
% 1.46/0.56  cnf(c12, plain,
% 1.46/0.56  	$false,
% 1.46/0.56  	inference(predicate_reduction, [assumptions([a9, a10, a11])], [c10, c11])).
% 1.46/0.56  
% 1.46/0.56  cnf(c13, plain,
% 1.46/0.56  	$false,
% 1.46/0.56  	inference(constraint_solving, [
% 1.46/0.56  		bind(X0, v_v____),
% 1.46/0.56  		bind(X1, hAPP(v_x,X0)),
% 1.46/0.56  		bind(X2, v_r____),
% 1.46/0.56  		bind(X3, hAPP(v_x,X0)),
% 1.46/0.56  		bind(X4, hAPP(v_x,X0))
% 1.46/0.56  	],
% 1.46/0.56  	[a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11])).
% 1.46/0.56  
% 1.46/0.56  % SZS output end IncompleteProof
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