TSTP Solution File: GRP731-1 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP731-1 : TPTP v8.1.0. Released v4.0.0.
% 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 07:03:14 EDT 2022
% Result : Unsatisfiable 42.17s 42.42s
% Output : CNFRefutation 42.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of clauses : 73 ( 73 unt; 0 nHn; 13 RR)
% Number of literals : 73 ( 72 equ; 10 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-3 aty)
% Number of variables : 118 ( 11 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = mult(unit,A),
file('/tmp/MaedMax_28226') ).
cnf(eq_1,axiom,
A = mult(A,unit),
file('/tmp/MaedMax_28226') ).
cnf(eq_2,axiom,
unit = mult(A,i(A)),
file('/tmp/MaedMax_28226') ).
cnf(eq_3,axiom,
unit = mult(i(A),A),
file('/tmp/MaedMax_28226') ).
cnf(eq_4,axiom,
mult(i(A),i(B)) = i(mult(A,B)),
file('/tmp/MaedMax_28226') ).
cnf(eq_5,axiom,
A = mult(i(B),mult(B,A)),
file('/tmp/MaedMax_28226') ).
cnf(eq_6,axiom,
A = rd(mult(A,B),B),
file('/tmp/MaedMax_28226') ).
cnf(eq_7,axiom,
A = mult(rd(A,B),B),
file('/tmp/MaedMax_28226') ).
cnf(eq_8,axiom,
mult(A,mult(B,mult(A,C))) = mult(mult(A,mult(B,A)),C),
file('/tmp/MaedMax_28226') ).
cnf(eq_9,axiom,
mult(mult(A,B),C) = mult(mult(A,mult(B,C)),asoc(A,B,C)),
file('/tmp/MaedMax_28226') ).
cnf(eq_10,axiom,
mult(A,B) = mult(mult(B,A),op_k(A,B)),
file('/tmp/MaedMax_28226') ).
cnf(eq_11,axiom,
unit = asoc(asoc(A,B,C),D,E),
file('/tmp/MaedMax_28226') ).
cnf(eq_12,negated_conjecture,
unit != op_k(asoc(a,b,c),d),
file('/tmp/MaedMax_28226') ).
cnf(eq_13,plain,
A = rd(A,unit),
inference(cp,[status(thm)],[eq_7,eq_1]) ).
cnf(eq_14,plain,
unit = i(unit),
inference(cp,[status(thm)],[eq_3,eq_1]) ).
cnf(eq_15,plain,
mult(mult(B,A),x102) = mult(B,mult(rd(A,B),mult(B,x102))),
inference(cp,[status(thm)],[eq_7,eq_8]) ).
cnf(eq_16,plain,
mult(mult(asoc(A,B,C),mult(D,E)),unit) = mult(mult(asoc(A,B,C),D),E),
inference(cp,[status(thm)],[eq_11,eq_9]) ).
cnf(eq_17,plain,
mult(A,op_k(unit,A)) = mult(unit,A),
inference(cp,[status(thm)],[eq_1,eq_10]) ).
cnf(eq_18,plain,
mult(unit,op_k(i(A),A)) = mult(i(A),A),
inference(cp,[status(thm)],[eq_2,eq_10]) ).
cnf(eq_19,plain,
mult(A,op_k(A,unit)) = mult(A,unit),
inference(cp,[status(thm)],[eq_0,eq_10]) ).
cnf(eq_20,plain,
mult(A,op_k(mult(B,A),i(B))) = mult(mult(B,A),i(B)),
inference(cp,[status(thm)],[eq_5,eq_10]) ).
cnf(eq_21,plain,
mult(i(rd(A,B)),A) = B,
inference(cp,[status(thm)],[eq_7,eq_5]) ).
cnf(eq_22,plain,
mult(i(mult(B,A)),mult(A,B)) = op_k(A,B),
inference(cp,[status(thm)],[eq_10,eq_5]) ).
cnf(eq_23,plain,
mult(i(i(A)),unit) = A,
inference(cp,[status(thm)],[eq_3,eq_5]) ).
cnf(eq_24,plain,
mult(i(i(A)),i(mult(A,B))) = i(B),
inference(cp,[status(thm)],[eq_4,eq_5]) ).
cnf(eq_25,plain,
rd(mult(A,mult(B,mult(A,C))),C) = mult(A,mult(B,A)),
inference(cp,[status(thm)],[eq_8,eq_6]) ).
cnf(eq_26,plain,
rd(unit,i(A)) = A,
inference(cp,[status(thm)],[eq_2,eq_6]) ).
cnf(eq_27,plain,
rd(unit,A) = i(A),
inference(cp,[status(thm)],[eq_3,eq_6]) ).
cnf(eq_28,plain,
mult(i(mult(A,B)),mult(B,A)) = op_k(B,A),
eq_22 ).
cnf(eq_29,plain,
mult(mult(asoc(A,B,C),D),E) = mult(asoc(A,B,C),mult(D,E)),
inference(rw,[status(thm)],[eq_16,eq_1]) ).
cnf(eq_30,plain,
A = mult(i(rd(B,A)),B),
eq_21 ).
cnf(eq_31,plain,
A = mult(A,op_k(A,unit)),
inference(rw,[status(thm)],[eq_19,eq_1]) ).
cnf(eq_32,plain,
A = mult(A,op_k(unit,A)),
inference(rw,[status(thm)],[eq_17,eq_0]) ).
cnf(eq_33,plain,
unit = op_k(i(A),A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_18,eq_0]),eq_3]) ).
cnf(eq_34,plain,
mult(A,mult(rd(B,A),mult(A,C))) = mult(mult(A,B),C),
eq_15 ).
cnf(eq_35,plain,
i(A) = rd(unit,A),
eq_27 ).
cnf(eq_36,plain,
A = rd(unit,i(A)),
eq_26 ).
cnf(eq_37,plain,
A = i(i(A)),
inference(rw,[status(thm)],[eq_23,eq_1]) ).
cnf(eq_38,plain,
mult(A,i(x101)) = i(mult(i(A),x101)),
inference(cp,[status(thm)],[eq_37,eq_4]) ).
cnf(eq_39,plain,
mult(i(x100),A) = i(mult(x100,i(A))),
inference(cp,[status(thm)],[eq_37,eq_4]) ).
cnf(eq_40,plain,
mult(A,i(B)) = i(mult(i(A),B)),
eq_38 ).
cnf(eq_41,plain,
mult(i(A),B) = i(mult(A,i(B))),
eq_39 ).
cnf(eq_42,negated_conjecture,
op_k(i(A),A) != op_k(asoc(a,b,c),d),
inference(cp,[status(thm)],[eq_33,eq_12]) ).
cnf(eq_43,plain,
A = rd(unit,rd(unit,A)),
inference(rw,[status(thm)],[eq_36,eq_35]) ).
cnf(eq_44,plain,
mult(i(A),A) = op_k(unit,A),
inference(cp,[status(thm)],[eq_32,eq_5]) ).
cnf(eq_45,plain,
mult(i(A),A) = op_k(A,unit),
inference(cp,[status(thm)],[eq_31,eq_5]) ).
cnf(eq_46,plain,
mult(A,i(mult(A,B))) = i(B),
inference(rw,[status(thm)],[eq_24,eq_37]) ).
cnf(eq_47,plain,
unit = op_k(A,unit),
inference(rw,[status(thm)],[eq_45,eq_3]) ).
cnf(eq_48,plain,
unit = op_k(unit,A),
inference(rw,[status(thm)],[eq_44,eq_3]) ).
cnf(eq_49,plain,
mult(A,rd(unit,mult(A,B))) = rd(unit,B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_46,eq_35]),eq_35]) ).
cnf(eq_50,plain,
rd(rd(unit,B),rd(unit,mult(A,B))) = A,
inference(cp,[status(thm)],[eq_49,eq_6]) ).
cnf(eq_51,plain,
i(A) = mult(i(i(rd(B,A))),i(B)),
inference(cp,[status(thm)],[eq_30,eq_4]) ).
cnf(eq_52,plain,
mult(rd(A,B),i(A)) = i(B),
inference(rw,[status(thm)],[eq_51,eq_37]) ).
cnf(eq_53,plain,
i(mult(rd(i(B),x101),B)) = x101,
inference(cp,[status(thm)],[eq_4,eq_30]) ).
cnf(eq_54,plain,
A = i(mult(rd(i(B),A),B)),
eq_53 ).
cnf(eq_55,plain,
rd(A,rd(unit,mult(x101,rd(unit,A)))) = x101,
inference(cp,[status(thm)],[eq_43,eq_50]) ).
cnf(eq_56,plain,
A = rd(B,rd(unit,mult(A,rd(unit,B)))),
eq_55 ).
cnf(eq_57,negated_conjecture,
op_k(A,mult(rd(i(B),A),B)) != op_k(asoc(a,b,c),d),
inference(cp,[status(thm)],[eq_54,eq_42]) ).
cnf(eq_58,negated_conjecture,
op_k(A,mult(rd(rd(unit,B),A),B)) != op_k(asoc(a,b,c),d),
inference(rw,[status(thm)],[eq_57,eq_35]) ).
cnf(eq_59,negated_conjecture,
op_k(x100,mult(rd(A,x100),rd(unit,mult(A,rd(unit,unit))))) != op_k(asoc(a,b,c),d),
inference(cp,[status(thm)],[eq_56,eq_58]) ).
cnf(eq_60,negated_conjecture,
op_k(A,mult(rd(B,A),rd(unit,B))) != op_k(asoc(a,b,c),d),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_59,eq_13]),eq_1]) ).
cnf(eq_61,plain,
i(mult(mult(A,B),i(mult(B,A)))) = op_k(B,A),
inference(rw,[status(thm)],[eq_28,eq_41]) ).
cnf(eq_62,negated_conjecture,
unit != i(mult(mult(d,asoc(a,b,c)),i(mult(asoc(a,b,c),d)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_60,eq_27]),eq_52]),eq_61]),eq_41]),eq_2]),eq_2]),eq_14]),eq_14]),eq_0]),eq_14]),eq_61]) ).
cnf(eq_63,negated_conjecture,
i(mult(d,mult(rd(asoc(a,b,c),d),mult(d,i(mult(asoc(a,b,c),d)))))) != unit,
inference(cp,[status(thm)],[eq_34,eq_62]) ).
cnf(eq_64,negated_conjecture,
unit != rd(unit,mult(d,mult(rd(asoc(a,b,c),d),mult(d,rd(unit,mult(asoc(a,b,c),d)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_63,eq_35]),eq_35]) ).
cnf(eq_65,plain,
rd(mult(x100,unit),x102) = mult(x100,mult(i(mult(x100,x102)),x100)),
inference(cp,[status(thm)],[eq_3,eq_25]) ).
cnf(eq_66,plain,
mult(A,mult(mult(i(A),i(B)),A)) = rd(A,B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_65,eq_1]),eq_4]) ).
cnf(eq_67,plain,
mult(mult(A,i(B)),mult(B,i(A))) = op_k(B,i(A)),
inference(cp,[status(thm)],[eq_40,eq_28]) ).
cnf(eq_68,plain,
rd(A,B) = mult(A,i(mult(B,op_k(mult(A,B),i(A))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_66,eq_41]),eq_37]),eq_41]),eq_20]) ).
cnf(eq_69,plain,
mult(asoc(A,B,C),mult(i(x101),mult(x101,i(asoc(A,B,C))))) = op_k(x101,i(asoc(A,B,C))),
inference(cp,[status(thm)],[eq_29,eq_67]) ).
cnf(eq_70,plain,
unit = op_k(A,i(asoc(B,C,D))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_69,eq_41]),eq_46]),eq_37]),eq_2]) ).
cnf(eq_71,negated_conjecture,
unit != unit,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_64,eq_68]),eq_68]),eq_70]),eq_0]),eq_14]),eq_1]),eq_47]),eq_29]),eq_1]),eq_0]),eq_29]),eq_41]),eq_46]),eq_37]),eq_46]),eq_2]),eq_68]),eq_0]),eq_14]),eq_48]),eq_0]),eq_14]),eq_0]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP731-1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n020.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 04:12:24 EDT 2022
% 0.12/0.33 % CPUTime :
% 42.17/42.42 % SZS status Unsatisfiable
% 42.17/42.42 % SZS output start CNFRefutation for /tmp/MaedMax_28226
% See solution above
% 42.17/42.43
%------------------------------------------------------------------------------