TSTP Solution File: GRP704-12 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP704-12 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n006.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 Jul 26 07:03:12 EDT 2022
% Result : Unsatisfiable 0.20s 0.53s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 12 ( 12 unt; 0 nHn; 6 RR)
% Number of literals : 12 ( 11 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = mult(B,ld(B,A)),
file('/tmp/MaedMax_13839') ).
cnf(eq_1,axiom,
A = mult(A,unit),
file('/tmp/MaedMax_13839') ).
cnf(eq_2,axiom,
A = mult(unit,A),
file('/tmp/MaedMax_13839') ).
cnf(eq_3,axiom,
mult(A,mult(op_c,B)) = mult(mult(A,op_c),B),
file('/tmp/MaedMax_13839') ).
cnf(eq_4,axiom,
mult(A,mult(B,ld(mult(A,B),op_c))) = op_f,
file('/tmp/MaedMax_13839') ).
cnf(eq_5,negated_conjecture,
mult(mult(x4,op_f),x5) != mult(x4,mult(op_f,x5)),
file('/tmp/MaedMax_13839') ).
cnf(eq_6,plain,
mult(A,mult(unit,ld(A,op_c))) = op_f,
inference(cp,[status(thm)],[eq_1,eq_4]) ).
cnf(eq_7,plain,
op_c = op_f,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_6,eq_2]),eq_0]) ).
cnf(eq_8,negated_conjecture,
mult(mult(x4,op_c),x5) != mult(x4,mult(op_f,x5)),
inference(cp,[status(thm)],[eq_7,eq_5]) ).
cnf(eq_9,negated_conjecture,
mult(x4,mult(op_c,x5)) != mult(x4,mult(op_f,x5)),
inference(rw,[status(thm)],[eq_8,eq_3]) ).
cnf(eq_10,negated_conjecture,
mult(x4,mult(op_f,x5)) != mult(x4,mult(op_f,x5)),
inference(rw,[status(thm)],[eq_9,eq_7]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP704-12 : TPTP v8.1.0. Released v8.1.0.
% 0.11/0.13 % Command : run_maedmax %d %s
% 0.12/0.34 % Computer : n006.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 : 300
% 0.12/0.34 % DateTime : Tue Jul 26 04:17:17 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.53 % SZS status Unsatisfiable
% 0.20/0.53 % SZS output start CNFRefutation for /tmp/MaedMax_13839
% See solution above
% 0.20/0.53
%------------------------------------------------------------------------------