TSTP Solution File: GRP696-1 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP696-1 : TPTP v8.1.0. Released v4.0.0.
% 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 07:03:11 EDT 2022
% Result : Unsatisfiable 6.84s 7.03s
% Output : CNFRefutation 6.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 12
% Syntax : Number of clauses : 87 ( 87 unt; 0 nHn; 6 RR)
% Number of literals : 87 ( 86 equ; 5 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 : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 145 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = mult(B,ld(B,A)),
file('/tmp/MaedMax_17107') ).
cnf(eq_1,axiom,
A = ld(B,mult(B,A)),
file('/tmp/MaedMax_17107') ).
cnf(eq_2,axiom,
A = mult(rd(A,B),B),
file('/tmp/MaedMax_17107') ).
cnf(eq_3,axiom,
A = rd(mult(A,B),B),
file('/tmp/MaedMax_17107') ).
cnf(eq_4,axiom,
A = mult(A,unit),
file('/tmp/MaedMax_17107') ).
cnf(eq_5,axiom,
A = mult(unit,A),
file('/tmp/MaedMax_17107') ).
cnf(eq_6,axiom,
mult(A,i(mult(B,A))) = i(B),
file('/tmp/MaedMax_17107') ).
cnf(eq_7,axiom,
mult(A,mult(B,C)) = mult(rd(mult(A,B),A),mult(A,C)),
file('/tmp/MaedMax_17107') ).
cnf(eq_8,axiom,
mult(mult(A,B),C) = mult(mult(A,C),ld(C,mult(B,C))),
file('/tmp/MaedMax_17107') ).
cnf(eq_9,axiom,
mult(i(A),A) = unit,
file('/tmp/MaedMax_17107') ).
cnf(eq_10,axiom,
mult(A,i(A)) = unit,
file('/tmp/MaedMax_17107') ).
cnf(eq_11,negated_conjecture,
mult(mult(mult(a,b),a),mult(a,c)) != mult(a,mult(mult(mult(b,a),a),c)),
file('/tmp/MaedMax_17107') ).
cnf(eq_12,plain,
ld(A,i(B)) = i(mult(B,A)),
inference(cp,[status(thm)],[eq_6,eq_1]) ).
cnf(eq_13,plain,
ld(A,unit) = i(A),
inference(cp,[status(thm)],[eq_10,eq_1]) ).
cnf(eq_14,plain,
ld(i(A),unit) = A,
inference(cp,[status(thm)],[eq_9,eq_1]) ).
cnf(eq_15,plain,
ld(rd(A,B),A) = B,
inference(cp,[status(thm)],[eq_2,eq_1]) ).
cnf(eq_16,plain,
mult(ld(B,A),i(A)) = i(B),
inference(cp,[status(thm)],[eq_0,eq_6]) ).
cnf(eq_17,plain,
mult(B,i(A)) = i(rd(A,B)),
inference(cp,[status(thm)],[eq_2,eq_6]) ).
cnf(eq_18,plain,
mult(unit,ld(A,mult(x102,A))) = mult(mult(i(A),x102),A),
inference(cp,[status(thm)],[eq_9,eq_8]) ).
cnf(eq_19,plain,
mult(rd(mult(i(A),x101),i(A)),unit) = mult(i(A),mult(x101,A)),
inference(cp,[status(thm)],[eq_9,eq_7]) ).
cnf(eq_20,plain,
rd(A,ld(B,A)) = B,
inference(cp,[status(thm)],[eq_0,eq_3]) ).
cnf(eq_21,plain,
rd(unit,A) = i(A),
inference(cp,[status(thm)],[eq_9,eq_3]) ).
cnf(eq_22,plain,
rd(mult(A,mult(B,C)),mult(A,C)) = rd(mult(A,B),A),
inference(cp,[status(thm)],[eq_7,eq_3]) ).
cnf(eq_23,plain,
mult(i(A),mult(B,A)) = rd(mult(i(A),B),i(A)),
inference(rw,[status(thm)],[eq_19,eq_4]) ).
cnf(eq_24,plain,
A = ld(rd(B,A),B),
eq_15 ).
cnf(eq_25,plain,
A = rd(B,ld(A,B)),
eq_20 ).
cnf(eq_26,plain,
mult(ld(A,B),i(B)) = i(A),
eq_16 ).
cnf(eq_27,plain,
ld(A,mult(B,A)) = mult(mult(i(A),B),A),
inference(rw,[status(thm)],[eq_18,eq_5]) ).
cnf(eq_28,plain,
A = ld(i(A),unit),
eq_14 ).
cnf(eq_29,plain,
mult(A,i(B)) = i(rd(B,A)),
eq_17 ).
cnf(eq_30,plain,
mult(A,rd(unit,A)) = unit,
inference(cp,[status(thm)],[eq_21,eq_10]) ).
cnf(eq_31,plain,
mult(ld(A,unit),A) = unit,
inference(rw,[status(thm)],[eq_9,eq_13]) ).
cnf(eq_32,plain,
A = ld(ld(A,unit),unit),
inference(rw,[status(thm)],[eq_28,eq_13]) ).
cnf(eq_33,plain,
ld(A,unit) = rd(unit,A),
inference(rw,[status(thm)],[eq_21,eq_13]) ).
cnf(eq_34,plain,
A = ld(rd(unit,A),unit),
inference(rw,[status(thm)],[eq_28,eq_21]) ).
cnf(eq_35,plain,
mult(unit,ld(A,mult(x102,A))) = mult(mult(ld(A,unit),x102),A),
inference(cp,[status(thm)],[eq_31,eq_8]) ).
cnf(eq_36,plain,
ld(A,mult(B,A)) = mult(mult(ld(A,unit),B),A),
inference(rw,[status(thm)],[eq_35,eq_5]) ).
cnf(eq_37,plain,
A = i(i(A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_34,eq_21]),eq_13]) ).
cnf(eq_38,plain,
rd(mult(x100,unit),mult(x100,rd(unit,A))) = rd(mult(x100,A),x100),
inference(cp,[status(thm)],[eq_30,eq_22]) ).
cnf(eq_39,plain,
rd(A,mult(A,rd(unit,B))) = rd(mult(A,B),A),
inference(rw,[status(thm)],[eq_38,eq_4]) ).
cnf(eq_40,plain,
ld(A,i(rd(B,A))) = i(B),
inference(cp,[status(thm)],[eq_29,eq_1]) ).
cnf(eq_41,plain,
i(A) = ld(ld(B,A),i(B)),
inference(cp,[status(thm)],[eq_0,eq_12]) ).
cnf(eq_42,plain,
i(i(rd(B,A))) = ld(i(B),i(A)),
inference(cp,[status(thm)],[eq_29,eq_12]) ).
cnf(eq_43,plain,
i(ld(A,i(B))) = mult(B,A),
inference(cp,[status(thm)],[eq_12,eq_37]) ).
cnf(eq_44,plain,
ld(ld(A,B),i(A)) = i(B),
eq_41 ).
cnf(eq_45,plain,
ld(i(A),i(B)) = rd(A,B),
inference(rw,[status(thm)],[eq_42,eq_37]) ).
cnf(eq_46,plain,
mult(A,B) = i(ld(B,i(A))),
eq_43 ).
cnf(eq_47,plain,
rd(A,mult(A,ld(B,unit))) = rd(mult(A,B),A),
inference(rw,[status(thm)],[eq_39,eq_33]) ).
cnf(eq_48,plain,
i(B) = rd(x100,rd(B,i(x100))),
inference(cp,[status(thm)],[eq_40,eq_45]) ).
cnf(eq_49,plain,
rd(i(B),rd(A,B)) = i(A),
inference(cp,[status(thm)],[eq_45,eq_25]) ).
cnf(eq_50,plain,
rd(A,rd(B,i(A))) = i(B),
eq_48 ).
cnf(eq_51,plain,
rd(i(A),rd(B,A)) = i(B),
eq_49 ).
cnf(eq_52,plain,
rd(i(ld(A,B)),A) = i(B),
inference(cp,[status(thm)],[eq_25,eq_51]) ).
cnf(eq_53,plain,
rd(rd(unit,ld(A,B)),A) = rd(unit,B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_52,eq_21]),eq_21]) ).
cnf(eq_54,plain,
mult(rd(unit,B),A) = rd(unit,ld(A,B)),
inference(cp,[status(thm)],[eq_53,eq_2]) ).
cnf(eq_55,plain,
rd(rd(unit,A),B) = rd(unit,mult(B,A)),
inference(cp,[status(thm)],[eq_1,eq_53]) ).
cnf(eq_56,plain,
mult(rd(unit,A),B) = rd(unit,ld(B,A)),
eq_54 ).
cnf(eq_57,plain,
ld(x100,A) = i(mult(i(A),x100)),
inference(cp,[status(thm)],[eq_37,eq_12]) ).
cnf(eq_58,plain,
mult(i(B),i(i(A))) = i(ld(A,B)),
inference(cp,[status(thm)],[eq_26,eq_6]) ).
cnf(eq_59,plain,
ld(A,B) = i(mult(i(B),A)),
eq_57 ).
cnf(eq_60,plain,
mult(i(A),B) = i(ld(B,A)),
inference(rw,[status(thm)],[eq_58,eq_37]) ).
cnf(eq_61,plain,
ld(i(B),i(ld(A,B))) = A,
inference(cp,[status(thm)],[eq_52,eq_24]) ).
cnf(eq_62,plain,
ld(A,B) = rd(unit,mult(rd(unit,B),A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_59,eq_21]),eq_21]) ).
cnf(eq_63,plain,
ld(A,unit) = rd(B,rd(A,ld(B,unit))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_50,eq_13]),eq_13]) ).
cnf(eq_64,plain,
ld(ld(A,unit),B) = rd(A,ld(B,unit)),
inference(cp,[status(thm)],[eq_63,eq_24]) ).
cnf(eq_65,plain,
ld(ld(A,B),unit) = mult(ld(B,unit),A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_56,eq_33]),eq_33]) ).
cnf(eq_66,plain,
ld(mult(A,B),unit) = rd(ld(B,unit),A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_55,eq_33]),eq_33]) ).
cnf(eq_67,plain,
ld(A,B) = ld(mult(ld(B,unit),A),unit),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_62,eq_33]),eq_33]) ).
cnf(eq_68,plain,
ld(ld(A,B),B) = ld(ld(mult(A,B),B),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)],[eq_23,eq_13]),eq_65]),eq_13]),eq_13]),eq_65]),eq_66]),eq_65]),eq_32]) ).
cnf(eq_69,plain,
ld(ld(mult(ld(B,unit),x101),unit),B) = rd(ld(B,unit),mult(ld(B,unit),ld(x101,unit))),
inference(cp,[status(thm)],[eq_64,eq_47]) ).
cnf(eq_70,plain,
ld(ld(A,B),B) = mult(ld(B,A),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_69,eq_67]),eq_66]),eq_36]),eq_65]),eq_67]) ).
cnf(eq_71,plain,
mult(A,B) = ld(ld(mult(B,A),B),B),
inference(cp,[status(thm)],[eq_1,eq_70]) ).
cnf(eq_72,plain,
ld(ld(mult(A,B),A),A) = mult(B,A),
eq_71 ).
cnf(eq_73,plain,
mult(A,mult(B,C)) = mult(ld(ld(B,i(A)),i(A)),mult(A,C)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_7,eq_45]),eq_12]) ).
cnf(eq_74,plain,
ld(ld(A,B),B) = i(ld(mult(A,B),B)),
inference(rw,[status(thm)],[eq_68,eq_13]) ).
cnf(eq_75,plain,
i(ld(A,mult(B,A))) = ld(A,i(mult(i(A),B))),
inference(cp,[status(thm)],[eq_27,eq_12]) ).
cnf(eq_76,plain,
ld(A,ld(B,A)) = i(ld(A,mult(B,A))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_75,eq_12]),eq_37]) ).
cnf(eq_77,plain,
ld(i(B),ld(ld(A,B),B)) = mult(A,B),
inference(cp,[status(thm)],[eq_74,eq_61]) ).
cnf(eq_78,plain,
ld(i(A),ld(ld(B,A),A)) = mult(B,A),
eq_77 ).
cnf(eq_79,plain,
i(ld(B,i(ld(B,A)))) = ld(B,ld(i(A),B)),
inference(cp,[status(thm)],[eq_60,eq_76]) ).
cnf(eq_80,plain,
ld(A,ld(i(B),A)) = ld(ld(B,A),A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_79,eq_46]),eq_70]) ).
cnf(eq_81,plain,
ld(i(A),mult(B,A)) = mult(mult(A,B),A),
inference(cp,[status(thm)],[eq_72,eq_78]) ).
cnf(eq_82,negated_conjecture,
mult(ld(ld(mult(mult(b,a),a),i(a)),i(a)),mult(a,c)) != mult(mult(mult(a,b),a),mult(a,c)),
inference(cp,[status(thm)],[eq_73,eq_11]) ).
cnf(eq_83,negated_conjecture,
mult(ld(i(a),ld(i(mult(mult(b,a),a)),i(a))),mult(a,c)) != mult(mult(mult(a,b),a),mult(a,c)),
inference(cp,[status(thm)],[eq_80,eq_82]) ).
cnf(eq_84,negated_conjecture,
mult(ld(i(a),mult(b,a)),mult(a,c)) != mult(mult(mult(a,b),a),mult(a,c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_83,eq_12]),eq_12]),eq_44]),eq_46]) ).
cnf(eq_85,negated_conjecture,
mult(mult(mult(a,b),a),mult(a,c)) != mult(mult(mult(a,b),a),mult(a,c)),
inference(cp,[status(thm)],[eq_81,eq_84]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP696-1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : run_maedmax %d %s
% 0.13/0.32 % Computer : n006.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Tue Jul 26 04:10:32 EDT 2022
% 0.13/0.33 % CPUTime :
% 6.84/7.03 % SZS status Unsatisfiable
% 6.84/7.03 % SZS output start CNFRefutation for /tmp/MaedMax_17107
% See solution above
% 6.84/7.03
%------------------------------------------------------------------------------