TSTP Solution File: RNG001-5 by lazyCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : lazyCoP---0.1
% Problem  : RNG001-5 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop

% Computer : n019.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 : Mon Jul 18 20:33:20 EDT 2022

% Result   : Unsatisfiable 26.89s 3.88s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem  : RNG001-5 : TPTP v8.1.0. Released v1.0.0.
% 0.05/0.10  % Command  : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.10/0.30  % Computer : n019.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 600
% 0.10/0.31  % DateTime : Mon May 30 15:42:10 EDT 2022
% 0.10/0.31  % CPUTime  : 
% 26.89/3.88  % SZS status Unsatisfiable
% 26.89/3.88  % SZS output begin IncompleteProof
% 26.89/3.88  cnf(c0, axiom,
% 26.89/3.88  	~product(a,additive_identity,additive_identity)).
% 26.89/3.88  cnf(c1, plain,
% 26.89/3.88  	~product(a,additive_identity,additive_identity),
% 26.89/3.88  	inference(start, [], [c0])).
% 26.89/3.88  
% 26.89/3.88  cnf(c2, axiom,
% 26.89/3.88  	product(X0,X1,X2) | ~product(X0,X1,X3) | ~equalish(X3,X2)).
% 26.89/3.88  cnf(a0, assumption,
% 26.89/3.88  	a = X0).
% 26.89/3.88  cnf(a1, assumption,
% 26.89/3.88  	additive_identity = X1).
% 26.89/3.88  cnf(a2, assumption,
% 26.89/3.88  	additive_identity = X2).
% 26.89/3.88  cnf(c3, plain,
% 26.89/3.88  	$false,
% 26.89/3.88  	inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 26.89/3.88  cnf(c4, plain,
% 26.89/3.88  	~product(X0,X1,X3) | ~equalish(X3,X2),
% 26.89/3.88  	inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 26.89/3.88  
% 26.89/3.88  cnf(c5, axiom,
% 26.89/3.88  	product(X4,X5,multiply(X4,X5))).
% 26.89/3.88  cnf(a3, assumption,
% 26.89/3.88  	X0 = X4).
% 26.89/3.88  cnf(a4, assumption,
% 26.89/3.88  	X1 = X5).
% 26.89/3.88  cnf(a5, assumption,
% 26.89/3.88  	X3 = multiply(X4,X5)).
% 26.89/3.88  cnf(c6, plain,
% 26.89/3.88  	~equalish(X3,X2),
% 26.89/3.88  	inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])).
% 26.89/3.88  cnf(c7, plain,
% 26.89/3.88  	$false,
% 26.89/3.88  	inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])).
% 26.89/3.88  
% 26.89/3.88  cnf(c8, axiom,
% 26.89/3.88  	equalish(X6,X7) | ~sum(X8,X9,X7) | ~sum(X8,X9,X6)).
% 26.89/3.88  cnf(a6, assumption,
% 26.89/3.88  	X3 = X6).
% 26.89/3.88  cnf(a7, assumption,
% 26.89/3.88  	X2 = X7).
% 26.89/3.88  cnf(c9, plain,
% 26.89/3.88  	$false,
% 26.89/3.88  	inference(strict_predicate_extension, [assumptions([a6, a7])], [c6, c8])).
% 26.89/3.88  cnf(c10, plain,
% 26.89/3.88  	~sum(X8,X9,X7) | ~sum(X8,X9,X6),
% 26.89/3.88  	inference(strict_predicate_extension, [assumptions([a6, a7])], [c6, c8])).
% 26.89/3.88  
% 26.89/3.88  cnf(c11, axiom,
% 26.89/3.88  	sum(X10,X11,X12) | ~sum(X13,X14,X12) | ~sum(X15,X11,X14) | ~sum(X13,X15,X10)).
% 26.89/3.88  cnf(a8, assumption,
% 26.89/3.88  	X8 = X10).
% 26.89/3.88  cnf(a9, assumption,
% 26.89/3.88  	X9 = X11).
% 26.89/3.88  cnf(a10, assumption,
% 26.89/3.88  	X7 = X12).
% 26.89/3.88  cnf(c12, plain,
% 26.89/3.88  	~sum(X8,X9,X6),
% 26.89/3.88  	inference(strict_predicate_extension, [assumptions([a8, a9, a10])], [c10, c11])).
% 26.89/3.88  cnf(c13, plain,
% 26.89/3.88  	~sum(X13,X14,X12) | ~sum(X15,X11,X14) | ~sum(X13,X15,X10),
% 26.89/3.88  	inference(strict_predicate_extension, [assumptions([a8, a9, a10])], [c10, c11])).
% 26.89/3.88  
% 26.89/3.88  cnf(c14, axiom,
% 26.89/3.88  	sum(additive_inverse(X16),X16,additive_identity)).
% 26.89/3.88  cnf(a11, assumption,
% 26.89/3.88  	X13 = additive_inverse(X16)).
% 26.89/3.88  cnf(a12, assumption,
% 26.89/3.88  	X14 = X16).
% 26.89/3.88  cnf(a13, assumption,
% 26.89/3.88  	X12 = additive_identity).
% 26.89/3.88  cnf(c15, plain,
% 26.89/3.88  	~sum(X15,X11,X14) | ~sum(X13,X15,X10),
% 26.89/3.88  	inference(strict_predicate_extension, [assumptions([a11, a12, a13])], [c13, c14])).
% 26.89/3.88  cnf(c16, plain,
% 26.89/3.88  	$false,
% 26.89/3.88  	inference(strict_predicate_extension, [assumptions([a11, a12, a13])], [c13, c14])).
% 26.89/3.88  
% 26.89/3.88  cnf(c17, axiom,
% 26.89/3.88  	sum(X17,X18,X19) | ~product(X20,X21,X19) | ~sum(X22,X23,X21) | ~product(X20,X23,X18) | ~product(X20,X22,X17)).
% 26.89/3.88  cnf(a14, assumption,
% 26.89/3.88  	X15 = X17).
% 26.89/3.88  cnf(a15, assumption,
% 26.89/3.88  	X11 = X18).
% 26.89/3.88  cnf(a16, assumption,
% 26.89/3.88  	X14 = X19).
% 26.89/3.88  cnf(c18, plain,
% 26.89/3.88  	~sum(X13,X15,X10),
% 26.89/3.88  	inference(strict_predicate_extension, [assumptions([a14, a15, a16])], [c15, c17])).
% 26.89/3.88  cnf(c19, plain,
% 26.89/3.88  	~product(X20,X21,X19) | ~sum(X22,X23,X21) | ~product(X20,X23,X18) | ~product(X20,X22,X17),
% 26.89/3.88  	inference(strict_predicate_extension, [assumptions([a14, a15, a16])], [c15, c17])).
% 26.89/3.88  
% 26.89/3.88  cnf(c20, plain,
% 26.89/3.88  	product(X0,X1,X3)).
% 26.89/3.88  cnf(a17, assumption,
% 26.89/3.88  	X20 = X0).
% 26.89/3.88  cnf(a18, assumption,
% 26.89/3.88  	X21 = X1).
% 26.89/3.88  cnf(a19, assumption,
% 26.89/3.88  	X19 = X3).
% 26.89/3.88  cnf(c21, plain,
% 26.89/3.88  	~sum(X22,X23,X21) | ~product(X20,X23,X18) | ~product(X20,X22,X17),
% 26.89/3.88  	inference(predicate_reduction, [assumptions([a17, a18, a19])], [c19, c20])).
% 26.89/3.88  
% 26.89/3.88  cnf(c22, axiom,
% 26.89/3.88  	sum(X24,additive_identity,X24)).
% 26.89/3.88  cnf(a20, assumption,
% 26.89/3.88  	X22 = X24).
% 26.89/3.88  cnf(a21, assumption,
% 26.89/3.88  	X23 = additive_identity).
% 26.89/3.88  cnf(a22, assumption,
% 26.89/3.88  	X21 = X24).
% 26.89/3.88  cnf(c23, plain,
% 26.89/3.88  	~product(X20,X23,X18) | ~product(X20,X22,X17),
% 26.89/3.88  	inference(strict_predicate_extension, [assumptions([a20, a21, a22])], [c21, c22])).
% 26.89/3.88  cnf(c24, plain,
% 26.89/3.88  	$false,
% 26.89/3.88  	inference(strict_predicate_extension, [assumptions([a20, a21, a22])], [c21, c22])).
% 26.89/3.88  
% 26.89/3.88  cnf(c25, plain,
% 26.89/3.88  	product(X0,X1,X3)).
% 26.89/3.88  cnf(a23, assumption,
% 26.89/3.88  	X20 = X0).
% 26.89/3.88  cnf(a24, assumption,
% 26.89/3.88  	X23 = X1).
% 26.89/3.88  cnf(a25, assumption,
% 26.89/3.88  	X18 = X3).
% 26.89/3.88  cnf(c26, plain,
% 26.89/3.88  	~product(X20,X22,X17),
% 26.89/3.88  	inference(predicate_reduction, [assumptions([a23, a24, a25])], [c23, c25])).
% 26.89/3.88  
% 26.89/3.88  cnf(c27, plain,
% 26.89/3.88  	product(X0,X1,X3)).
% 26.89/3.88  cnf(a26, assumption,
% 26.89/3.88  	X20 = X0).
% 26.89/3.88  cnf(a27, assumption,
% 26.89/3.88  	X22 = X1).
% 26.89/3.88  cnf(a28, assumption,
% 26.89/3.88  	X17 = X3).
% 26.89/3.88  cnf(c28, plain,
% 26.89/3.88  	$false,
% 26.89/3.88  	inference(predicate_reduction, [assumptions([a26, a27, a28])], [c26, c27])).
% 26.89/3.88  
% 26.89/3.88  cnf(c29, plain,
% 26.89/3.88  	sum(X13,X14,X12)).
% 26.89/3.88  cnf(a29, assumption,
% 26.89/3.88  	X13 = X13).
% 26.89/3.88  cnf(a30, assumption,
% 26.89/3.88  	X15 = X14).
% 26.89/3.88  cnf(a31, assumption,
% 26.89/3.88  	X10 = X12).
% 26.89/3.88  cnf(c30, plain,
% 26.89/3.88  	$false,
% 26.89/3.88  	inference(predicate_reduction, [assumptions([a29, a30, a31])], [c18, c29])).
% 26.89/3.88  
% 26.89/3.88  cnf(c31, axiom,
% 26.89/3.88  	sum(additive_identity,X25,X25)).
% 26.89/3.88  cnf(a32, assumption,
% 26.89/3.88  	X8 = additive_identity).
% 26.89/3.88  cnf(a33, assumption,
% 26.89/3.88  	X9 = X25).
% 26.89/3.88  cnf(a34, assumption,
% 26.89/3.88  	X6 = X25).
% 26.89/3.88  cnf(c32, plain,
% 26.89/3.88  	$false,
% 26.89/3.88  	inference(strict_predicate_extension, [assumptions([a32, a33, a34])], [c12, c31])).
% 26.89/3.88  cnf(c33, plain,
% 26.89/3.88  	$false,
% 26.89/3.88  	inference(strict_predicate_extension, [assumptions([a32, a33, a34])], [c12, c31])).
% 26.89/3.88  
% 26.89/3.88  cnf(c34, plain,
% 26.89/3.88  	$false,
% 26.89/3.88  	inference(constraint_solving, [
% 26.89/3.88  		bind(X0, a),
% 26.89/3.88  		bind(X1, additive_identity),
% 26.89/3.88  		bind(X2, additive_identity),
% 26.89/3.88  		bind(X3, multiply(X4,X5)),
% 26.89/3.88  		bind(X4, a),
% 26.89/3.88  		bind(X5, additive_identity),
% 26.89/3.88  		bind(X6, multiply(X4,X5)),
% 26.89/3.88  		bind(X7, additive_identity),
% 26.89/3.88  		bind(X8, additive_identity),
% 26.89/3.88  		bind(X9, multiply(X4,X5)),
% 26.89/3.88  		bind(X10, additive_identity),
% 26.89/3.88  		bind(X11, multiply(X4,X5)),
% 26.89/3.88  		bind(X12, additive_identity),
% 26.89/3.88  		bind(X13, additive_inverse(X16)),
% 26.89/3.88  		bind(X14, multiply(X4,X5)),
% 26.89/3.88  		bind(X15, multiply(X4,X5)),
% 26.89/3.88  		bind(X16, multiply(X4,X5)),
% 26.89/3.88  		bind(X17, multiply(X4,X5)),
% 26.89/3.88  		bind(X18, multiply(X4,X5)),
% 26.89/3.88  		bind(X19, multiply(X4,X5)),
% 26.89/3.88  		bind(X20, a),
% 26.89/3.88  		bind(X21, additive_identity),
% 26.89/3.88  		bind(X22, additive_identity),
% 26.89/3.88  		bind(X23, additive_identity),
% 26.89/3.88  		bind(X24, additive_identity),
% 26.89/3.88  		bind(X25, multiply(X4,X5))
% 26.89/3.88  	],
% 26.89/3.88  	[a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20, a21, a22, a23, a24, a25, a26, a27, a28, a29, a30, a31, a32, a33, a34])).
% 26.89/3.88  
% 26.89/3.88  % SZS output end IncompleteProof
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