TSTP Solution File: GRP728-1 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP728-1 : TPTP v8.1.0. Released v4.0.0.
% 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 07:03:14 EDT 2022
% Result : Unsatisfiable 45.76s 45.95s
% Output : CNFRefutation 45.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 12
% Syntax : Number of clauses : 61 ( 61 unt; 0 nHn; 12 RR)
% Number of literals : 61 ( 60 equ; 10 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 : 12 ( 12 usr; 7 con; 0-3 aty)
% Number of variables : 110 ( 13 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = mult(unit,A),
file('/tmp/MaedMax_18481') ).
cnf(eq_1,axiom,
A = mult(A,unit),
file('/tmp/MaedMax_18481') ).
cnf(eq_2,axiom,
unit = mult(A,i(A)),
file('/tmp/MaedMax_18481') ).
cnf(eq_3,axiom,
unit = mult(i(A),A),
file('/tmp/MaedMax_18481') ).
cnf(eq_4,axiom,
mult(i(A),i(B)) = i(mult(A,B)),
file('/tmp/MaedMax_18481') ).
cnf(eq_5,axiom,
A = mult(i(B),mult(B,A)),
file('/tmp/MaedMax_18481') ).
cnf(eq_6,axiom,
A = rd(mult(A,B),B),
file('/tmp/MaedMax_18481') ).
cnf(eq_7,axiom,
A = mult(rd(A,B),B),
file('/tmp/MaedMax_18481') ).
cnf(eq_8,axiom,
mult(mult(A,B),C) = mult(mult(A,mult(B,C)),asoc(A,B,C)),
file('/tmp/MaedMax_18481') ).
cnf(eq_9,axiom,
mult(A,B) = mult(mult(B,A),op_k(A,B)),
file('/tmp/MaedMax_18481') ).
cnf(eq_10,axiom,
unit = asoc(asoc(A,B,C),D,E),
file('/tmp/MaedMax_18481') ).
cnf(eq_11,negated_conjecture,
unit != op_k(op_k(a,b),c),
file('/tmp/MaedMax_18481') ).
cnf(eq_12,plain,
A = rd(A,unit),
inference(cp,[status(thm)],[eq_7,eq_1]) ).
cnf(eq_13,plain,
unit = i(unit),
inference(cp,[status(thm)],[eq_3,eq_1]) ).
cnf(eq_14,plain,
mult(mult(asoc(A,B,C),mult(D,E)),unit) = mult(mult(asoc(A,B,C),D),E),
inference(cp,[status(thm)],[eq_10,eq_8]) ).
cnf(eq_15,plain,
mult(i(rd(A,B)),A) = B,
inference(cp,[status(thm)],[eq_7,eq_5]) ).
cnf(eq_16,plain,
mult(i(mult(A,mult(B,C))),mult(mult(A,B),C)) = asoc(A,B,C),
inference(cp,[status(thm)],[eq_8,eq_5]) ).
cnf(eq_17,plain,
mult(i(i(A)),unit) = A,
inference(cp,[status(thm)],[eq_3,eq_5]) ).
cnf(eq_18,plain,
mult(i(i(A)),i(mult(A,B))) = i(B),
inference(cp,[status(thm)],[eq_4,eq_5]) ).
cnf(eq_19,plain,
rd(unit,A) = i(A),
inference(cp,[status(thm)],[eq_3,eq_6]) ).
cnf(eq_20,plain,
mult(mult(asoc(A,B,C),D),E) = mult(asoc(A,B,C),mult(D,E)),
inference(rw,[status(thm)],[eq_14,eq_1]) ).
cnf(eq_21,plain,
A = mult(i(rd(B,A)),B),
eq_15 ).
cnf(eq_22,plain,
i(A) = rd(unit,A),
eq_19 ).
cnf(eq_23,plain,
A = i(i(A)),
inference(rw,[status(thm)],[eq_17,eq_1]) ).
cnf(eq_24,plain,
mult(A,rd(unit,A)) = unit,
inference(cp,[status(thm)],[eq_22,eq_2]) ).
cnf(eq_25,plain,
mult(i(x100),A) = i(mult(x100,i(A))),
inference(cp,[status(thm)],[eq_23,eq_4]) ).
cnf(eq_26,plain,
mult(rd(unit,A),mult(A,x101)) = x101,
inference(cp,[status(thm)],[eq_22,eq_5]) ).
cnf(eq_27,plain,
A = mult(rd(unit,B),mult(B,A)),
eq_26 ).
cnf(eq_28,plain,
mult(i(A),B) = i(mult(A,i(B))),
eq_25 ).
cnf(eq_29,plain,
mult(A,i(mult(A,B))) = i(B),
inference(rw,[status(thm)],[eq_18,eq_23]) ).
cnf(eq_30,plain,
A = mult(rd(unit,rd(B,A)),B),
inference(rw,[status(thm)],[eq_21,eq_22]) ).
cnf(eq_31,plain,
mult(rd(unit,mult(B,A)),mult(A,B)) = op_k(A,B),
inference(cp,[status(thm)],[eq_9,eq_27]) ).
cnf(eq_32,plain,
mult(rd(unit,mult(A,B)),mult(B,A)) = op_k(B,A),
eq_31 ).
cnf(eq_33,plain,
rd(A,B) = rd(unit,rd(B,A)),
inference(cp,[status(thm)],[eq_30,eq_6]) ).
cnf(eq_34,plain,
mult(rd(B,A),rd(A,B)) = unit,
inference(cp,[status(thm)],[eq_33,eq_24]) ).
cnf(eq_35,plain,
unit = mult(rd(A,B),rd(B,A)),
eq_34 ).
cnf(eq_36,negated_conjecture,
mult(rd(A,B),rd(B,A)) != op_k(op_k(a,b),c),
inference(cp,[status(thm)],[eq_35,eq_11]) ).
cnf(eq_37,plain,
mult(A,rd(unit,mult(A,B))) = rd(unit,B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_29,eq_22]),eq_22]) ).
cnf(eq_38,negated_conjecture,
mult(rd(B,unit),mult(A,rd(unit,mult(A,B)))) != op_k(op_k(a,b),c),
inference(cp,[status(thm)],[eq_37,eq_36]) ).
cnf(eq_39,negated_conjecture,
mult(A,mult(B,rd(unit,mult(B,A)))) != op_k(op_k(a,b),c),
inference(rw,[status(thm)],[eq_38,eq_12]) ).
cnf(eq_40,negated_conjecture,
mult(rd(unit,mult(c,op_k(a,b))),mult(op_k(a,b),c)) != mult(x100,mult(x101,rd(unit,mult(x101,x100)))),
inference(cp,[status(thm)],[eq_32,eq_39]) ).
cnf(eq_41,negated_conjecture,
unit != mult(rd(unit,mult(c,op_k(a,b))),mult(op_k(a,b),c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_40,eq_37]),eq_24]) ).
cnf(eq_42,negated_conjecture,
unit != mult(i(mult(c,op_k(a,b))),mult(op_k(a,b),c)),
inference(rw,[status(thm)],[eq_41,eq_19]) ).
cnf(eq_43,plain,
mult(mult(B,A),i(mult(A,B))) = i(op_k(A,B)),
inference(cp,[status(thm)],[eq_9,eq_29]) ).
cnf(eq_44,plain,
mult(mult(A,B),i(mult(B,A))) = i(op_k(B,A)),
eq_43 ).
cnf(eq_45,negated_conjecture,
i(mult(mult(c,op_k(a,b)),i(mult(op_k(a,b),c)))) != unit,
inference(cp,[status(thm)],[eq_28,eq_42]) ).
cnf(eq_46,plain,
asoc(A,B,C) = i(mult(mult(A,mult(B,C)),i(mult(mult(A,B),C)))),
inference(rw,[status(thm)],[eq_16,eq_28]) ).
cnf(eq_47,plain,
mult(i(mult(A,i(B))),i(mult(B,i(A)))) = i(op_k(B,i(A))),
inference(cp,[status(thm)],[eq_28,eq_44]) ).
cnf(eq_48,plain,
mult(mult(B,i(A)),i(i(mult(A,i(B))))) = i(op_k(i(A),B)),
inference(cp,[status(thm)],[eq_28,eq_44]) ).
cnf(eq_49,plain,
mult(mult(A,i(B)),mult(B,i(A))) = i(op_k(i(B),A)),
inference(rw,[status(thm)],[eq_48,eq_23]) ).
cnf(eq_50,plain,
i(op_k(i(B),asoc(x100,x101,x102))) = mult(asoc(x100,x101,x102),mult(i(B),mult(B,i(asoc(x100,x101,x102))))),
inference(cp,[status(thm)],[eq_49,eq_20]) ).
cnf(eq_51,plain,
i(op_k(A,i(B))) = op_k(i(A),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_47,eq_28]),eq_23]),eq_49]),eq_23]) ).
cnf(eq_52,plain,
unit = i(op_k(i(A),asoc(B,C,D))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_50,eq_28]),eq_29]),eq_23]),eq_2]) ).
cnf(eq_53,plain,
unit = op_k(A,mult(mult(B,mult(C,D)),i(mult(mult(B,C),D)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_52,eq_46]),eq_51]),eq_23]),eq_23]) ).
cnf(eq_54,plain,
op_k(x100,mult(mult(A,mult(B,i(mult(B,A)))),i(i(op_k(B,A))))) = unit,
inference(cp,[status(thm)],[eq_44,eq_53]) ).
cnf(eq_55,plain,
unit = op_k(A,op_k(B,C)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_54,eq_29]),eq_23]),eq_2]),eq_0]) ).
cnf(eq_56,plain,
mult(mult(op_k(B,C),A),unit) = mult(A,op_k(B,C)),
inference(cp,[status(thm)],[eq_55,eq_9]) ).
cnf(eq_57,plain,
mult(A,op_k(B,C)) = mult(op_k(B,C),A),
inference(rw,[status(thm)],[eq_56,eq_1]) ).
cnf(eq_58,negated_conjecture,
i(mult(mult(op_k(a,b),c),i(mult(op_k(a,b),c)))) != unit,
inference(cp,[status(thm)],[eq_57,eq_45]) ).
cnf(eq_59,negated_conjecture,
unit != unit,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_58,eq_2]),eq_13]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP728-1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run_maedmax %d %s
% 0.13/0.34 % Computer : n013.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 04:15:45 EDT 2022
% 0.13/0.34 % CPUTime :
% 45.76/45.95 % SZS status Unsatisfiable
% 45.76/45.95 % SZS output start CNFRefutation for /tmp/MaedMax_18481
% See solution above
% 45.76/45.95
%------------------------------------------------------------------------------