TSTP Solution File: GRP131-2.002 by lazyCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : lazyCoP---0.1
% Problem  : GRP131-2.002 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop

% Computer : n020.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 : Sat Jul 16 10:09:15 EDT 2022

% Result   : Unsatisfiable 105.31s 13.71s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP131-2.002 : TPTP v8.1.0. Released v1.2.0.
% 0.12/0.13  % Command  : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.12/0.34  % Computer : n020.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jun 13 11:53:05 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 105.31/13.71  % SZS status Unsatisfiable
% 105.31/13.71  % SZS output begin IncompleteProof
% 105.31/13.71  cnf(c0, axiom,
% 105.31/13.71  	equalish(X0,X1) | ~product(X2,X1,X3) | ~product(X2,X0,X4) | ~product(X3,X1,X5) | ~product(X4,X0,X5)).
% 105.31/13.71  cnf(c1, plain,
% 105.31/13.71  	equalish(X0,X1) | ~product(X2,X1,X3) | ~product(X2,X0,X4) | ~product(X3,X1,X5) | ~product(X4,X0,X5),
% 105.31/13.71  	inference(start, [], [c0])).
% 105.31/13.71  
% 105.31/13.71  cnf(c2, axiom,
% 105.31/13.71  	~equalish(e_2,e_1)).
% 105.31/13.71  cnf(a0, assumption,
% 105.31/13.71  	X0 = e_2).
% 105.31/13.71  cnf(a1, assumption,
% 105.31/13.71  	X1 = e_1).
% 105.31/13.71  cnf(c3, plain,
% 105.31/13.71  	~product(X2,X1,X3) | ~product(X2,X0,X4) | ~product(X3,X1,X5) | ~product(X4,X0,X5),
% 105.31/13.71  	inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 105.31/13.71  cnf(c4, plain,
% 105.31/13.71  	$false,
% 105.31/13.71  	inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 105.31/13.71  
% 105.31/13.71  cnf(c5, axiom,
% 105.31/13.71  	product(X6,X7,e_2) | product(X6,X7,e_1) | ~group_element(X7) | ~group_element(X6)).
% 105.31/13.71  cnf(a2, assumption,
% 105.31/13.71  	X2 = X6).
% 105.31/13.71  cnf(a3, assumption,
% 105.31/13.71  	X1 = X7).
% 105.31/13.71  cnf(a4, assumption,
% 105.31/13.71  	X3 = e_2).
% 105.31/13.71  cnf(c6, plain,
% 105.31/13.71  	~product(X2,X0,X4) | ~product(X3,X1,X5) | ~product(X4,X0,X5),
% 105.31/13.71  	inference(strict_predicate_extension, [assumptions([a2, a3, a4])], [c3, c5])).
% 105.31/13.71  cnf(c7, plain,
% 105.31/13.71  	product(X6,X7,e_1) | ~group_element(X7) | ~group_element(X6),
% 105.31/13.71  	inference(strict_predicate_extension, [assumptions([a2, a3, a4])], [c3, c5])).
% 105.31/13.71  
% 105.31/13.71  cnf(c8, axiom,
% 105.31/13.71  	equalish(X8,X9) | ~product(X9,X10,X11) | ~product(X8,X10,X11)).
% 105.31/13.71  cnf(a5, assumption,
% 105.31/13.71  	X6 = X8).
% 105.31/13.71  cnf(a6, assumption,
% 105.31/13.71  	X7 = X10).
% 105.31/13.71  cnf(a7, assumption,
% 105.31/13.71  	e_1 = X11).
% 105.31/13.71  cnf(c9, plain,
% 105.31/13.71  	~group_element(X7) | ~group_element(X6),
% 105.31/13.71  	inference(strict_predicate_extension, [assumptions([a5, a6, a7])], [c7, c8])).
% 105.31/13.71  cnf(c10, plain,
% 105.31/13.71  	equalish(X8,X9) | ~product(X9,X10,X11),
% 105.31/13.71  	inference(strict_predicate_extension, [assumptions([a5, a6, a7])], [c7, c8])).
% 105.31/13.71  
% 105.31/13.71  cnf(c11, axiom,
% 105.31/13.71  	~equalish(e_1,e_2)).
% 105.31/13.71  cnf(a8, assumption,
% 105.31/13.71  	X8 = e_1).
% 105.31/13.71  cnf(a9, assumption,
% 105.31/13.71  	X9 = e_2).
% 105.31/13.71  cnf(c12, plain,
% 105.31/13.71  	~product(X9,X10,X11),
% 105.31/13.71  	inference(strict_predicate_extension, [assumptions([a8, a9])], [c10, c11])).
% 105.31/13.71  cnf(c13, plain,
% 105.31/13.71  	$false,
% 105.31/13.71  	inference(strict_predicate_extension, [assumptions([a8, a9])], [c10, c11])).
% 105.31/13.71  
% 105.31/13.71  cnf(c14, axiom,
% 105.31/13.71  	product(X12,X13,e_2) | product(X12,X13,e_1) | ~group_element(X13) | ~group_element(X12)).
% 105.31/13.71  cnf(a10, assumption,
% 105.31/13.71  	X9 = X12).
% 105.31/13.71  cnf(a11, assumption,
% 105.31/13.71  	X10 = X13).
% 105.31/13.71  cnf(a12, assumption,
% 105.31/13.71  	X11 = e_1).
% 105.31/13.71  cnf(c15, plain,
% 105.31/13.71  	$false,
% 105.31/13.71  	inference(strict_predicate_extension, [assumptions([a10, a11, a12])], [c12, c14])).
% 105.31/13.71  cnf(c16, plain,
% 105.31/13.71  	product(X12,X13,e_2) | ~group_element(X13) | ~group_element(X12),
% 105.31/13.71  	inference(strict_predicate_extension, [assumptions([a10, a11, a12])], [c12, c14])).
% 105.31/13.71  
% 105.31/13.71  cnf(c17, axiom,
% 105.31/13.71  	equalish(X14,X15) | ~product(X16,X15,X17) | ~product(X16,X14,X18) | ~product(X17,X15,X19) | ~product(X18,X14,X19)).
% 105.31/13.71  cnf(a13, assumption,
% 105.31/13.71  	X12 = X16).
% 105.31/13.71  cnf(a14, assumption,
% 105.31/13.71  	X13 = X15).
% 105.31/13.71  cnf(a15, assumption,
% 105.31/13.71  	e_2 = X17).
% 105.31/13.71  cnf(c18, plain,
% 105.31/13.71  	~group_element(X13) | ~group_element(X12),
% 105.31/13.71  	inference(strict_predicate_extension, [assumptions([a13, a14, a15])], [c16, c17])).
% 105.31/13.71  cnf(c19, plain,
% 105.31/13.71  	equalish(X14,X15) | ~product(X16,X14,X18) | ~product(X17,X15,X19) | ~product(X18,X14,X19),
% 105.31/13.71  	inference(strict_predicate_extension, [assumptions([a13, a14, a15])], [c16, c17])).
% 105.31/13.71  
% 105.31/13.71  cnf(c20, plain,
% 105.31/13.71  	~equalish(X0,X1)).
% 105.31/13.71  cnf(a16, assumption,
% 105.31/13.71  	X14 = X0).
% 105.31/13.71  cnf(a17, assumption,
% 105.31/13.71  	X15 = X1).
% 105.31/13.71  cnf(c21, plain,
% 105.31/13.71  	~product(X16,X14,X18) | ~product(X17,X15,X19) | ~product(X18,X14,X19),
% 105.31/13.71  	inference(predicate_reduction, [assumptions([a16, a17])], [c19, c20])).
% 105.31/13.71  
% 105.31/13.71  cnf(c22, axiom,
% 105.31/13.71  	product(X20,X21,e_2) | product(X20,X21,e_1) | ~group_element(X21) | ~group_element(X20)).
% 105.31/13.71  cnf(a18, assumption,
% 105.31/13.71  	X16 = X20).
% 105.31/13.71  cnf(a19, assumption,
% 105.31/13.71  	X14 = X21).
% 105.31/13.71  cnf(a20, assumption,
% 105.31/13.71  	X18 = e_1).
% 105.31/13.71  cnf(c23, plain,
% 105.31/13.71  	~product(X17,X15,X19) | ~product(X18,X14,X19),
% 105.31/13.71  	inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c21, c22])).
% 105.31/13.71  cnf(c24, plain,
% 105.31/13.71  	product(X20,X21,e_2) | ~group_element(X21) | ~group_element(X20),
% 105.31/13.71  	inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c21, c22])).
% 105.31/13.71  
% 105.31/13.71  cnf(c25, axiom,
% 105.31/13.71  	equalish(X22,X23) | ~product(X24,X23,X25) | ~product(X24,X22,X25)).
% 105.31/13.71  cnf(a21, assumption,
% 105.31/13.71  	X20 = X24).
% 105.31/13.71  cnf(a22, assumption,
% 105.31/13.71  	X21 = X22).
% 105.31/13.71  cnf(a23, assumption,
% 105.31/13.71  	e_2 = X25).
% 105.31/13.71  cnf(c26, plain,
% 105.31/13.71  	~group_element(X21) | ~group_element(X20),
% 105.31/13.71  	inference(strict_predicate_extension, [assumptions([a21, a22, a23])], [c24, c25])).
% 105.31/13.71  cnf(c27, plain,
% 105.31/13.71  	equalish(X22,X23) | ~product(X24,X23,X25),
% 105.31/13.71  	inference(strict_predicate_extension, [assumptions([a21, a22, a23])], [c24, c25])).
% 105.31/13.71  
% 105.31/13.71  cnf(c28, plain,
% 105.31/13.71  	~equalish(X0,X1)).
% 105.31/13.71  cnf(a24, assumption,
% 105.31/13.71  	X22 = X0).
% 105.31/13.71  cnf(a25, assumption,
% 105.31/13.71  	X23 = X1).
% 105.31/13.71  cnf(c29, plain,
% 105.31/13.71  	~product(X24,X23,X25),
% 105.31/13.71  	inference(predicate_reduction, [assumptions([a24, a25])], [c27, c28])).
% 105.31/13.71  
% 105.31/13.71  cnf(c30, plain,
% 105.31/13.71  	product(X12,X13,e_2)).
% 105.31/13.71  cnf(a26, assumption,
% 105.31/13.71  	X24 = X12).
% 105.31/13.71  cnf(a27, assumption,
% 105.31/13.71  	X23 = X13).
% 105.31/13.71  cnf(a28, assumption,
% 105.31/13.71  	X25 = e_2).
% 105.31/13.71  cnf(c31, plain,
% 105.31/13.71  	$false,
% 105.31/13.71  	inference(predicate_reduction, [assumptions([a26, a27, a28])], [c29, c30])).
% 105.31/13.71  
% 105.31/13.71  cnf(c32, axiom,
% 105.31/13.71  	group_element(e_2)).
% 105.31/13.71  cnf(a29, assumption,
% 105.31/13.71  	X21 = e_2).
% 105.31/13.71  cnf(c33, plain,
% 105.31/13.71  	~group_element(X20),
% 105.31/13.71  	inference(strict_predicate_extension, [assumptions([a29])], [c26, c32])).
% 105.31/13.71  cnf(c34, plain,
% 105.31/13.71  	$false,
% 105.31/13.71  	inference(strict_predicate_extension, [assumptions([a29])], [c26, c32])).
% 105.31/13.71  
% 105.31/13.71  cnf(c35, plain,
% 105.31/13.71  	group_element(X21)).
% 105.31/13.71  cnf(a30, assumption,
% 105.31/13.71  	X20 = X21).
% 105.31/13.71  cnf(c36, plain,
% 105.31/13.71  	$false,
% 105.31/13.71  	inference(predicate_reduction, [assumptions([a30])], [c33, c35])).
% 105.31/13.71  
% 105.31/13.71  cnf(c37, plain,
% 105.31/13.71  	product(X12,X13,e_2)).
% 105.31/13.71  cnf(a31, assumption,
% 105.31/13.71  	X17 = X12).
% 105.31/13.71  cnf(a32, assumption,
% 105.31/13.71  	X15 = X13).
% 105.31/13.71  cnf(a33, assumption,
% 105.31/13.71  	X19 = e_2).
% 105.31/13.71  cnf(c38, plain,
% 105.31/13.71  	~product(X18,X14,X19),
% 105.31/13.71  	inference(predicate_reduction, [assumptions([a31, a32, a33])], [c23, c37])).
% 105.31/13.71  
% 105.31/13.71  cnf(c39, axiom,
% 105.31/13.71  	product(X26,X27,e_2) | product(X26,X27,e_1) | ~group_element(X27) | ~group_element(X26)).
% 105.31/13.71  cnf(a34, assumption,
% 105.31/13.71  	X18 = X26).
% 105.31/13.71  cnf(a35, assumption,
% 105.31/13.71  	X14 = X27).
% 105.31/13.71  cnf(a36, assumption,
% 105.31/13.71  	X19 = e_2).
% 105.31/13.71  cnf(c40, plain,
% 105.31/13.71  	$false,
% 105.31/13.71  	inference(strict_predicate_extension, [assumptions([a34, a35, a36])], [c38, c39])).
% 105.31/13.71  cnf(c41, plain,
% 105.31/13.71  	product(X26,X27,e_1) | ~group_element(X27) | ~group_element(X26),
% 105.31/13.71  	inference(strict_predicate_extension, [assumptions([a34, a35, a36])], [c38, c39])).
% 105.31/13.71  
% 105.31/13.71  cnf(c42, axiom,
% 105.31/13.71  	equalish(X28,X29) | ~product(X29,X30,X31) | ~product(X28,X30,X31)).
% 105.31/13.71  cnf(a37, assumption,
% 105.31/13.71  	X26 = X28).
% 105.31/13.71  cnf(a38, assumption,
% 105.31/13.71  	X27 = X30).
% 105.31/13.71  cnf(a39, assumption,
% 105.31/13.71  	e_1 = X31).
% 105.31/13.71  cnf(c43, plain,
% 105.31/13.71  	~group_element(X27) | ~group_element(X26),
% 105.31/13.71  	inference(strict_predicate_extension, [assumptions([a37, a38, a39])], [c41, c42])).
% 105.31/13.71  cnf(c44, plain,
% 105.31/13.71  	equalish(X28,X29) | ~product(X29,X30,X31),
% 105.31/13.71  	inference(strict_predicate_extension, [assumptions([a37, a38, a39])], [c41, c42])).
% 105.31/13.71  
% 105.31/13.71  cnf(c45, plain,
% 105.31/13.71  	~equalish(X8,X9)).
% 105.31/13.71  cnf(a40, assumption,
% 105.31/13.71  	X28 = X8).
% 105.31/13.71  cnf(a41, assumption,
% 105.31/13.71  	X29 = X9).
% 105.31/13.71  cnf(c46, plain,
% 105.31/13.71  	~product(X29,X30,X31),
% 105.31/13.71  	inference(predicate_reduction, [assumptions([a40, a41])], [c44, c45])).
% 105.31/13.71  
% 105.31/13.71  cnf(c47, plain,
% 105.31/13.71  	product(X16,X14,X18)).
% 105.31/13.71  cnf(a42, assumption,
% 105.31/13.71  	X29 = X16).
% 105.31/13.71  cnf(a43, assumption,
% 105.31/13.71  	X30 = X14).
% 105.31/13.71  cnf(a44, assumption,
% 105.31/13.71  	X31 = X18).
% 105.31/13.71  cnf(c48, plain,
% 105.31/13.71  	$false,
% 105.31/13.71  	inference(predicate_reduction, [assumptions([a42, a43, a44])], [c46, c47])).
% 105.31/13.71  
% 105.31/13.71  cnf(c49, plain,
% 105.31/13.71  	group_element(X21)).
% 105.31/13.71  cnf(a45, assumption,
% 105.31/13.71  	X27 = X21).
% 105.31/13.71  cnf(c50, plain,
% 105.31/13.71  	~group_element(X26),
% 105.31/13.71  	inference(predicate_reduction, [assumptions([a45])], [c43, c49])).
% 105.31/13.71  
% 105.31/13.71  cnf(c51, axiom,
% 105.31/13.71  	group_element(e_1)).
% 105.31/13.71  cnf(a46, assumption,
% 105.31/13.71  	X26 = e_1).
% 105.31/13.71  cnf(c52, plain,
% 105.31/13.71  	$false,
% 105.31/13.71  	inference(strict_predicate_extension, [assumptions([a46])], [c50, c51])).
% 105.31/13.71  cnf(c53, plain,
% 105.31/13.71  	$false,
% 105.31/13.71  	inference(strict_predicate_extension, [assumptions([a46])], [c50, c51])).
% 105.31/13.71  
% 105.31/13.71  cnf(c54, plain,
% 105.31/13.71  	group_element(X26)).
% 105.31/13.71  cnf(a47, assumption,
% 105.31/13.71  	X13 = X26).
% 105.31/13.71  cnf(c55, plain,
% 105.31/13.71  	~group_element(X12),
% 105.31/13.71  	inference(predicate_reduction, [assumptions([a47])], [c18, c54])).
% 105.31/13.71  
% 105.31/13.71  cnf(c56, plain,
% 105.31/13.71  	group_element(X21)).
% 105.31/13.71  cnf(a48, assumption,
% 105.31/13.71  	X12 = X21).
% 105.31/13.71  cnf(c57, plain,
% 105.31/13.71  	$false,
% 105.31/13.71  	inference(predicate_reduction, [assumptions([a48])], [c55, c56])).
% 105.31/13.71  
% 105.31/13.71  cnf(c58, plain,
% 105.31/13.71  	group_element(X26)).
% 105.31/13.71  cnf(a49, assumption,
% 105.31/13.71  	X7 = X26).
% 105.31/13.71  cnf(c59, plain,
% 105.31/13.71  	~group_element(X6),
% 105.31/13.71  	inference(predicate_reduction, [assumptions([a49])], [c9, c58])).
% 105.31/13.71  
% 105.31/13.71  cnf(c60, plain,
% 105.31/13.71  	group_element(X26)).
% 105.31/13.71  cnf(a50, assumption,
% 105.31/13.71  	X6 = X26).
% 105.31/13.71  cnf(c61, plain,
% 105.31/13.71  	$false,
% 105.31/13.71  	inference(predicate_reduction, [assumptions([a50])], [c59, c60])).
% 105.31/13.71  
% 105.31/13.71  cnf(c62, axiom,
% 105.31/13.71  	product(X32,X33,e_2) | product(X32,X33,e_1) | ~group_element(X33) | ~group_element(X32)).
% 105.31/13.71  cnf(a51, assumption,
% 105.31/13.71  	X2 = X32).
% 105.31/13.71  cnf(a52, assumption,
% 105.31/13.71  	X0 = X33).
% 105.31/13.71  cnf(a53, assumption,
% 105.31/13.71  	X4 = e_1).
% 105.31/13.71  cnf(c63, plain,
% 105.31/13.71  	~product(X3,X1,X5) | ~product(X4,X0,X5),
% 105.31/13.71  	inference(strict_predicate_extension, [assumptions([a51, a52, a53])], [c6, c62])).
% 105.31/13.71  cnf(c64, plain,
% 105.31/13.71  	product(X32,X33,e_2) | ~group_element(X33) | ~group_element(X32),
% 105.31/13.71  	inference(strict_predicate_extension, [assumptions([a51, a52, a53])], [c6, c62])).
% 105.31/13.71  
% 105.31/13.71  cnf(c65, axiom,
% 105.31/13.71  	equalish(X34,X35) | ~product(X36,X35,X37) | ~product(X36,X34,X37)).
% 105.31/13.71  cnf(a54, assumption,
% 105.31/13.71  	X32 = X36).
% 105.31/13.71  cnf(a55, assumption,
% 105.31/13.71  	X33 = X34).
% 105.31/13.71  cnf(a56, assumption,
% 105.31/13.71  	e_2 = X37).
% 105.31/13.71  cnf(c66, plain,
% 105.31/13.71  	~group_element(X33) | ~group_element(X32),
% 105.31/13.71  	inference(strict_predicate_extension, [assumptions([a54, a55, a56])], [c64, c65])).
% 105.31/13.71  cnf(c67, plain,
% 105.31/13.71  	equalish(X34,X35) | ~product(X36,X35,X37),
% 105.31/13.71  	inference(strict_predicate_extension, [assumptions([a54, a55, a56])], [c64, c65])).
% 105.31/13.71  
% 105.31/13.71  cnf(c68, plain,
% 105.31/13.71  	~equalish(X0,X1)).
% 105.31/13.71  cnf(a57, assumption,
% 105.31/13.71  	X34 = X0).
% 105.31/13.71  cnf(a58, assumption,
% 105.31/13.71  	X35 = X1).
% 105.31/13.71  cnf(c69, plain,
% 105.31/13.71  	~product(X36,X35,X37),
% 105.31/13.71  	inference(predicate_reduction, [assumptions([a57, a58])], [c67, c68])).
% 105.31/13.71  
% 105.31/13.71  cnf(c70, plain,
% 105.31/13.71  	product(X2,X1,X3)).
% 105.31/13.71  cnf(a59, assumption,
% 105.31/13.71  	X36 = X2).
% 105.31/13.71  cnf(a60, assumption,
% 105.31/13.71  	X35 = X1).
% 105.31/13.71  cnf(a61, assumption,
% 105.31/13.71  	X37 = X3).
% 105.31/13.71  cnf(c71, plain,
% 105.31/13.71  	$false,
% 105.31/13.71  	inference(predicate_reduction, [assumptions([a59, a60, a61])], [c69, c70])).
% 105.31/13.71  
% 105.31/13.71  cnf(c72, plain,
% 105.31/13.71  	group_element(X21)).
% 105.31/13.71  cnf(a62, assumption,
% 105.31/13.71  	X33 = X21).
% 105.31/13.71  cnf(c73, plain,
% 105.31/13.71  	~group_element(X32),
% 105.31/13.71  	inference(predicate_reduction, [assumptions([a62])], [c66, c72])).
% 105.31/13.71  
% 105.31/13.71  cnf(c74, plain,
% 105.31/13.71  	group_element(X26)).
% 105.31/13.71  cnf(a63, assumption,
% 105.31/13.71  	X32 = X26).
% 105.31/13.71  cnf(c75, plain,
% 105.31/13.71  	$false,
% 105.31/13.71  	inference(predicate_reduction, [assumptions([a63])], [c73, c74])).
% 105.31/13.71  
% 105.31/13.71  cnf(c76, plain,
% 105.31/13.71  	product(X9,X10,X11)).
% 105.31/13.71  cnf(a64, assumption,
% 105.31/13.71  	X3 = X9).
% 105.31/13.71  cnf(a65, assumption,
% 105.31/13.71  	X1 = X10).
% 105.31/13.71  cnf(a66, assumption,
% 105.31/13.71  	X5 = X11).
% 105.31/13.71  cnf(c77, plain,
% 105.31/13.71  	~product(X4,X0,X5),
% 105.31/13.71  	inference(predicate_reduction, [assumptions([a64, a65, a66])], [c63, c76])).
% 105.31/13.71  
% 105.31/13.71  cnf(c78, plain,
% 105.31/13.71  	product(X2,X0,X4)).
% 105.31/13.71  cnf(a67, assumption,
% 105.31/13.71  	X4 = X2).
% 105.31/13.71  cnf(a68, assumption,
% 105.31/13.71  	X0 = X0).
% 105.31/13.71  cnf(a69, assumption,
% 105.31/13.71  	X5 = X4).
% 105.31/13.71  cnf(c79, plain,
% 105.31/13.71  	$false,
% 105.31/13.71  	inference(predicate_reduction, [assumptions([a67, a68, a69])], [c77, c78])).
% 105.31/13.71  
% 105.31/13.71  cnf(c80, plain,
% 105.31/13.71  	$false,
% 105.31/13.71  	inference(constraint_solving, [
% 105.31/13.71  		bind(X0, e_2),
% 105.31/13.71  		bind(X1, e_1),
% 105.31/13.71  		bind(X2, e_1),
% 105.31/13.71  		bind(X3, e_2),
% 105.31/13.71  		bind(X4, e_1),
% 105.31/13.71  		bind(X5, e_1),
% 105.31/13.71  		bind(X6, e_1),
% 105.31/13.71  		bind(X7, e_1),
% 105.31/13.71  		bind(X8, e_1),
% 105.31/13.71  		bind(X9, e_2),
% 105.31/13.71  		bind(X10, e_1),
% 105.31/13.71  		bind(X11, e_1),
% 105.31/13.71  		bind(X12, e_2),
% 105.31/13.71  		bind(X13, e_1),
% 105.31/13.71  		bind(X14, e_2),
% 105.31/13.71  		bind(X15, e_1),
% 105.31/13.71  		bind(X16, e_2),
% 105.31/13.71  		bind(X17, e_2),
% 105.31/13.71  		bind(X18, e_1),
% 105.31/13.71  		bind(X19, e_2),
% 105.31/13.71  		bind(X20, e_2),
% 105.31/13.71  		bind(X21, e_2),
% 105.31/13.71  		bind(X22, e_2),
% 105.31/13.71  		bind(X23, e_1),
% 105.31/13.71  		bind(X24, e_2),
% 105.31/13.71  		bind(X25, e_2),
% 105.31/13.71  		bind(X26, e_1),
% 105.31/13.71  		bind(X27, e_2),
% 105.31/13.71  		bind(X28, e_1),
% 105.31/13.71  		bind(X29, e_2),
% 105.31/13.71  		bind(X30, e_2),
% 105.31/13.71  		bind(X31, e_1),
% 105.31/13.71  		bind(X32, e_1),
% 105.31/13.71  		bind(X33, e_2),
% 105.31/13.71  		bind(X34, e_2),
% 105.31/13.71  		bind(X35, e_1),
% 105.31/13.71  		bind(X36, e_1),
% 105.31/13.71  		bind(X37, e_2)
% 105.31/13.71  	],
% 105.31/13.71  	[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, a35, a36, a37, a38, a39, a40, a41, a42, a43, a44, a45, a46, a47, a48, a49, a50, a51, a52, a53, a54, a55, a56, a57, a58, a59, a60, a61, a62, a63, a64, a65, a66, a67, a68, a69])).
% 105.31/13.71  
% 105.31/13.71  % SZS output end IncompleteProof
%------------------------------------------------------------------------------