TSTP Solution File: GRP710-11 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP710-11 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n013.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 1.43s 1.63s
% Output : CNFRefutation 1.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 6
% Syntax : Number of clauses : 54 ( 54 unt; 0 nHn; 9 RR)
% Number of literals : 54 ( 53 equ; 7 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 78 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = mult(A,unit),
file('/tmp/MaedMax_27819') ).
cnf(eq_1,axiom,
A = mult(unit,A),
file('/tmp/MaedMax_27819') ).
cnf(eq_2,axiom,
mult(A,mult(B,mult(B,C))) = mult(mult(mult(A,B),B),C),
file('/tmp/MaedMax_27819') ).
cnf(eq_3,axiom,
unit = mult(A,i(A)),
file('/tmp/MaedMax_27819') ).
cnf(eq_4,axiom,
unit = mult(i(A),A),
file('/tmp/MaedMax_27819') ).
cnf(eq_5,negated_conjecture,
mult(A,x4) != x3,
file('/tmp/MaedMax_27819') ).
cnf(eq_6,plain,
mult(A,mult(B,mult(B,unit))) = mult(mult(A,B),B),
inference(cp,[status(thm)],[eq_2,eq_0]) ).
cnf(eq_7,plain,
mult(A,mult(B,mult(B,i(mult(mult(A,B),B))))) = unit,
inference(cp,[status(thm)],[eq_2,eq_3]) ).
cnf(eq_8,plain,
mult(mult(unit,i(A)),x102) = mult(A,mult(i(A),mult(i(A),x102))),
inference(cp,[status(thm)],[eq_3,eq_2]) ).
cnf(eq_9,plain,
mult(mult(A,A),x102) = mult(unit,mult(A,mult(A,x102))),
inference(cp,[status(thm)],[eq_1,eq_2]) ).
cnf(eq_10,plain,
mult(mult(unit,A),x102) = mult(i(A),mult(A,mult(A,x102))),
inference(cp,[status(thm)],[eq_4,eq_2]) ).
cnf(eq_11,plain,
mult(A,B) = mult(i(A),mult(A,mult(A,B))),
inference(rw,[status(thm)],[eq_10,eq_1]) ).
cnf(eq_12,plain,
mult(A,mult(B,B)) = mult(mult(A,B),B),
inference(rw,[status(thm)],[eq_6,eq_0]) ).
cnf(eq_13,plain,
mult(A,mult(i(A),mult(i(A),B))) = mult(i(A),B),
inference(rw,[status(thm)],[eq_8,eq_1]) ).
cnf(eq_14,plain,
mult(A,mult(A,B)) = mult(mult(A,A),B),
inference(rw,[status(thm)],[eq_9,eq_1]) ).
cnf(eq_15,plain,
mult(A,mult(B,mult(B,i(mult(A,mult(B,B)))))) = unit,
inference(cp,[status(thm)],[eq_12,eq_7]) ).
cnf(eq_16,plain,
mult(mult(A,mult(B,B)),x102) = mult(A,mult(B,mult(B,x102))),
inference(cp,[status(thm)],[eq_12,eq_2]) ).
cnf(eq_17,plain,
mult(i(A),mult(A,A)) = mult(A,unit),
inference(cp,[status(thm)],[eq_0,eq_11]) ).
cnf(eq_18,plain,
A = mult(i(A),mult(A,A)),
inference(rw,[status(thm)],[eq_17,eq_0]) ).
cnf(eq_19,plain,
mult(A,mult(B,mult(B,C))) = mult(mult(A,mult(B,B)),C),
eq_16 ).
cnf(eq_20,negated_conjecture,
mult(A,mult(x4,x4)) != x3,
inference(cp,[status(thm)],[eq_12,eq_5]) ).
cnf(eq_21,plain,
mult(i(i(A)),mult(i(A),A)) = mult(i(A),mult(A,A)),
inference(cp,[status(thm)],[eq_18,eq_11]) ).
cnf(eq_22,plain,
A = i(i(A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_21,eq_4]),eq_0]),eq_18]) ).
cnf(eq_23,plain,
mult(i(B),unit) = mult(B,mult(B,i(mult(B,mult(B,B))))),
inference(cp,[status(thm)],[eq_15,eq_11]) ).
cnf(eq_24,plain,
mult(A,mult(A,i(mult(A,mult(A,A))))) = i(A),
inference(rw,[status(thm)],[eq_23,eq_0]) ).
cnf(eq_25,plain,
mult(i(A),i(A)) = mult(A,i(mult(A,mult(A,A)))),
inference(cp,[status(thm)],[eq_24,eq_11]) ).
cnf(eq_26,plain,
mult(unit,x102) = mult(i(mult(x101,x101)),mult(x101,mult(x101,x102))),
inference(cp,[status(thm)],[eq_4,eq_19]) ).
cnf(eq_27,plain,
A = mult(i(mult(B,B)),mult(B,mult(B,A))),
inference(rw,[status(thm)],[eq_26,eq_1]) ).
cnf(eq_28,plain,
mult(i(mult(A,i(mult(A,mult(A,A))))),mult(i(A),mult(i(A),x101))) = x101,
inference(cp,[status(thm)],[eq_25,eq_27]) ).
cnf(eq_29,plain,
mult(i(mult(B,B)),unit) = mult(B,i(mult(B,mult(B,B)))),
inference(cp,[status(thm)],[eq_15,eq_27]) ).
cnf(eq_30,plain,
mult(i(mult(A,A)),mult(A,unit)) = mult(B,mult(B,i(mult(A,mult(B,B))))),
inference(cp,[status(thm)],[eq_15,eq_27]) ).
cnf(eq_31,plain,
mult(i(mult(A,A)),mult(A,unit)) = i(A),
inference(cp,[status(thm)],[eq_3,eq_27]) ).
cnf(eq_32,plain,
mult(A,i(mult(A,mult(A,A)))) = i(mult(A,A)),
inference(rw,[status(thm)],[eq_29,eq_0]) ).
cnf(eq_33,plain,
mult(i(mult(A,A)),A) = i(A),
inference(rw,[status(thm)],[eq_31,eq_0]) ).
cnf(eq_34,plain,
mult(A,mult(A,i(mult(B,mult(A,A))))) = i(B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_30,eq_0]),eq_33]) ).
cnf(eq_35,plain,
A = mult(B,mult(i(B),A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_28,eq_32]),eq_22]),eq_14]),eq_13]) ).
cnf(eq_36,plain,
mult(x100,mult(i(x100),A)) = mult(i(x100),mult(i(i(x100)),A)),
inference(cp,[status(thm)],[eq_35,eq_13]) ).
cnf(eq_37,plain,
mult(i(A),i(B)) = mult(A,i(mult(B,mult(A,A)))),
inference(cp,[status(thm)],[eq_34,eq_11]) ).
cnf(eq_38,plain,
mult(A,mult(i(A),B)) = mult(i(A),mult(A,B)),
inference(rw,[status(thm)],[eq_36,eq_22]) ).
cnf(eq_39,plain,
mult(A,i(mult(B,mult(A,A)))) = mult(i(A),i(B)),
eq_37 ).
cnf(eq_40,plain,
mult(i(A),mult(i(A),i(B))) = mult(A,mult(i(A),i(mult(B,mult(A,A))))),
inference(cp,[status(thm)],[eq_39,eq_38]) ).
cnf(eq_41,plain,
mult(i(A),mult(i(A),i(B))) = i(mult(B,mult(A,A))),
inference(rw,[status(thm)],[eq_40,eq_35]) ).
cnf(eq_42,plain,
i(mult(i(A),mult(i(A),i(B)))) = mult(B,mult(A,A)),
inference(cp,[status(thm)],[eq_41,eq_22]) ).
cnf(eq_43,plain,
mult(A,mult(B,B)) = i(mult(i(B),mult(i(B),i(A)))),
eq_42 ).
cnf(eq_44,plain,
i(mult(i(x100),mult(i(x100),A))) = mult(i(A),mult(x100,x100)),
inference(cp,[status(thm)],[eq_22,eq_43]) ).
cnf(eq_45,plain,
mult(i(A),mult(B,B)) = i(mult(i(B),mult(i(B),A))),
eq_44 ).
cnf(eq_46,plain,
i(mult(i(A),mult(A,mult(i(A),B)))) = mult(i(mult(A,B)),mult(A,A)),
inference(cp,[status(thm)],[eq_38,eq_45]) ).
cnf(eq_47,plain,
mult(i(mult(A,B)),mult(A,A)) = i(mult(i(A),B)),
inference(rw,[status(thm)],[eq_46,eq_35]) ).
cnf(eq_48,negated_conjecture,
i(mult(i(x4),B)) != x3,
inference(cp,[status(thm)],[eq_47,eq_20]) ).
cnf(eq_49,negated_conjecture,
i(mult(i(x4),A)) != x3,
eq_48 ).
cnf(eq_50,negated_conjecture,
i(A) != x3,
inference(cp,[status(thm)],[eq_35,eq_49]) ).
cnf(eq_51,negated_conjecture,
A != x3,
inference(cp,[status(thm)],[eq_22,eq_50]) ).
cnf(eq_52,negated_conjecture,
A != A,
eq_51 ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP710-11 : TPTP v8.1.0. Released v8.1.0.
% 0.07/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n013.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 : 300
% 0.12/0.33 % DateTime : Tue Jul 26 04:06:15 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.43/1.63 % SZS status Unsatisfiable
% 1.43/1.63 % SZS output start CNFRefutation for /tmp/MaedMax_27819
% See solution above
% 1.43/1.63
%------------------------------------------------------------------------------