TSTP Solution File: GRP715-11 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP715-11 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% 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 : 300s
% DateTime : Tue Jul 26 07:03:13 EDT 2022
% Result : Unsatisfiable 5.47s 5.68s
% Output : CNFRefutation 5.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of clauses : 31 ( 31 unt; 0 nHn; 19 RR)
% Number of literals : 31 ( 30 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
mult(A,mult(mult(B,C),B)) = mult(mult(mult(A,B),C),B),
file('/tmp/MaedMax_31013') ).
cnf(eq_1,axiom,
mult(A,mult(B,B)) = mult(mult(A,B),B),
file('/tmp/MaedMax_31013') ).
cnf(eq_2,axiom,
A = mult(A,unit),
file('/tmp/MaedMax_31013') ).
cnf(eq_3,axiom,
A = mult(unit,A),
file('/tmp/MaedMax_31013') ).
cnf(eq_4,axiom,
mult(op_a,op_b) = unit,
file('/tmp/MaedMax_31013') ).
cnf(eq_5,axiom,
mult(op_b,op_a) = unit,
file('/tmp/MaedMax_31013') ).
cnf(eq_6,negated_conjecture,
mult(mult(x0,op_b),op_a) != x0,
file('/tmp/MaedMax_31013') ).
cnf(eq_7,plain,
mult(unit,op_b) = mult(op_a,mult(op_b,op_b)),
inference(cp,[status(thm)],[eq_4,eq_1]) ).
cnf(eq_8,plain,
mult(unit,op_a) = mult(op_b,mult(op_a,op_a)),
inference(cp,[status(thm)],[eq_5,eq_1]) ).
cnf(eq_9,plain,
mult(mult(mult(A,mult(mult(B,C),B)),x102),B) = mult(mult(mult(A,B),C),mult(mult(B,x102),B)),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_10,plain,
mult(mult(unit,x102),op_b) = mult(op_a,mult(mult(op_b,x102),op_b)),
inference(cp,[status(thm)],[eq_4,eq_0]) ).
cnf(eq_11,plain,
mult(mult(unit,x102),op_a) = mult(op_b,mult(mult(op_a,x102),op_a)),
inference(cp,[status(thm)],[eq_5,eq_0]) ).
cnf(eq_12,plain,
mult(op_b,op_a) = mult(op_a,op_b),
inference(cp,[status(thm)],[eq_5,eq_4]) ).
cnf(eq_13,plain,
mult(A,op_b) = mult(op_a,mult(mult(op_b,A),op_b)),
inference(rw,[status(thm)],[eq_10,eq_3]) ).
cnf(eq_14,plain,
mult(op_b,mult(op_a,op_a)) = op_a,
inference(rw,[status(thm)],[eq_8,eq_3]) ).
cnf(eq_15,plain,
mult(A,op_a) = mult(op_b,mult(mult(op_a,A),op_a)),
inference(rw,[status(thm)],[eq_11,eq_3]) ).
cnf(eq_16,plain,
mult(mult(mult(A,B),C),mult(mult(B,x3),B)) = mult(mult(mult(A,mult(mult(B,C),B)),x3),B),
eq_9 ).
cnf(eq_17,plain,
mult(op_a,mult(op_b,op_b)) = op_b,
inference(rw,[status(thm)],[eq_7,eq_3]) ).
cnf(eq_18,plain,
A = mult(A,mult(op_a,op_b)),
inference(rw,[status(thm)],[eq_2,eq_4]) ).
cnf(eq_19,plain,
mult(op_a,mult(op_a,op_b)) = mult(mult(op_a,op_a),op_b),
inference(cp,[status(thm)],[eq_14,eq_13]) ).
cnf(eq_20,plain,
mult(op_b,mult(mult(A,op_b),op_a)) = mult(mult(mult(op_b,A),op_b),op_a),
inference(cp,[status(thm)],[eq_13,eq_15]) ).
cnf(eq_21,plain,
mult(mult(mult(op_b,A),op_b),op_a) = mult(op_b,mult(mult(A,op_b),op_a)),
eq_20 ).
cnf(eq_22,plain,
mult(mult(op_a,op_a),op_b) = op_a,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_19,eq_4]),eq_2]) ).
cnf(eq_23,plain,
mult(mult(mult(x100,mult(op_b,op_a)),x103),op_a) = mult(mult(mult(x100,op_a),mult(op_b,op_b)),mult(mult(op_a,x103),op_a)),
inference(cp,[status(thm)],[eq_17,eq_16]) ).
cnf(eq_24,plain,
mult(mult(A,B),op_a) = mult(mult(mult(A,op_a),mult(op_b,op_b)),mult(mult(op_a,B),op_a)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_23,eq_5]),eq_2]) ).
cnf(eq_25,plain,
mult(mult(op_a,op_b),op_a) = mult(op_b,mult(mult(mult(op_a,op_a),op_b),op_a)),
inference(cp,[status(thm)],[eq_14,eq_21]) ).
cnf(eq_26,plain,
mult(mult(op_a,op_b),op_a) = op_a,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_25,eq_22]),eq_14]) ).
cnf(eq_27,negated_conjecture,
mult(mult(mult(x0,op_a),mult(op_b,op_b)),mult(mult(op_a,op_b),op_a)) != x0,
inference(cp,[status(thm)],[eq_24,eq_6]) ).
cnf(eq_28,negated_conjecture,
mult(x0,mult(op_a,op_b)) != x0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_27,eq_26]),eq_0]),eq_17]),eq_12]) ).
cnf(eq_29,negated_conjecture,
x0 != x0,
inference(rw,[status(thm)],[eq_28,eq_18]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP715-11 : TPTP v8.1.0. Released v8.1.0.
% 0.10/0.13 % Command : run_maedmax %d %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Jul 26 04:27:54 EDT 2022
% 0.13/0.34 % CPUTime :
% 5.47/5.68 % SZS status Unsatisfiable
% 5.47/5.68 % SZS output start CNFRefutation for /tmp/MaedMax_31013
% See solution above
% 5.47/5.68
%------------------------------------------------------------------------------