TSTP Solution File: GRP550-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP550-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n004.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 07:02:54 EDT 2022
% Result : Unsatisfiable 0.21s 0.56s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of clauses : 38 ( 38 unt; 0 nHn; 11 RR)
% Number of literals : 38 ( 37 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 46 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = divide(divide(identity,B),divide(divide(divide(C,B),A),C)),
file('/tmp/MaedMax_8736') ).
cnf(eq_1,axiom,
divide(A,divide(identity,B)) = multiply(A,B),
file('/tmp/MaedMax_8736') ).
cnf(eq_2,axiom,
divide(identity,A) = inverse(A),
file('/tmp/MaedMax_8736') ).
cnf(eq_3,axiom,
identity = divide(A,A),
file('/tmp/MaedMax_8736') ).
cnf(eq_4,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/tmp/MaedMax_8736') ).
cnf(eq_5,plain,
divide(A,inverse(B)) = multiply(A,B),
inference(rw,[status(thm)],[eq_1,eq_2]) ).
cnf(eq_6,negated_conjecture,
divide(identity,divide(identity,a2)) != a2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_4,eq_2]),eq_1]),eq_3]),eq_1]) ).
cnf(eq_7,plain,
divide(divide(identity,B),divide(A,identity)) = divide(divide(divide(C,B),A),C),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_8,plain,
divide(divide(identity,x100),divide(identity,x101)) = divide(x101,x100),
inference(cp,[status(thm)],[eq_3,eq_0]) ).
cnf(eq_9,plain,
divide(divide(identity,A),divide(divide(identity,x102),A)) = x102,
inference(cp,[status(thm)],[eq_3,eq_0]) ).
cnf(eq_10,plain,
divide(divide(identity,A),divide(B,identity)) = divide(divide(divide(C,A),B),C),
eq_7 ).
cnf(eq_11,plain,
A = divide(divide(identity,B),divide(divide(identity,A),B)),
eq_9 ).
cnf(eq_12,plain,
divide(A,B) = divide(divide(identity,B),divide(identity,A)),
eq_8 ).
cnf(eq_13,plain,
divide(x100,identity) = multiply(x100,identity),
inference(cp,[status(thm)],[eq_3,eq_1]) ).
cnf(eq_14,plain,
divide(identity,divide(divide(identity,x101),identity)) = x101,
inference(cp,[status(thm)],[eq_3,eq_11]) ).
cnf(eq_15,plain,
divide(divide(identity,divide(identity,x101)),identity) = x101,
inference(cp,[status(thm)],[eq_3,eq_11]) ).
cnf(eq_16,plain,
divide(identity,x100) = divide(divide(identity,x101),divide(divide(x100,x101),identity)),
inference(cp,[status(thm)],[eq_3,eq_10]) ).
cnf(eq_17,plain,
A = divide(identity,divide(divide(identity,A),identity)),
eq_14 ).
cnf(eq_18,plain,
A = divide(multiply(identity,A),identity),
inference(rw,[status(thm)],[eq_15,eq_1]) ).
cnf(eq_19,plain,
divide(A,identity) = multiply(A,identity),
eq_13 ).
cnf(eq_20,plain,
divide(divide(divide(A,B),C),A) = divide(inverse(B),divide(C,identity)),
inference(rw,[status(thm)],[eq_10,eq_2]) ).
cnf(eq_21,plain,
A = divide(inverse(B),divide(inverse(A),B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_11,eq_2]),eq_2]) ).
cnf(eq_22,plain,
A = inverse(divide(inverse(A),identity)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_17,eq_2]),eq_2]) ).
cnf(eq_23,plain,
divide(A,B) = multiply(inverse(B),A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_12,eq_2]),eq_2]),eq_5]) ).
cnf(eq_24,negated_conjecture,
inverse(inverse(a2)) != a2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_6,eq_2]),eq_2]) ).
cnf(eq_25,plain,
multiply(identity,B) = inverse(inverse(B)),
inference(cp,[status(thm)],[eq_5,eq_2]) ).
cnf(eq_26,plain,
A = multiply(multiply(identity,A),identity),
inference(cp,[status(thm)],[eq_18,eq_19]) ).
cnf(eq_27,plain,
multiply(identity,A) = inverse(inverse(A)),
eq_25 ).
cnf(eq_28,plain,
A = divide(inverse(B),divide(inverse(B),divide(A,identity))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_0,eq_2]),eq_20]) ).
cnf(eq_29,plain,
divide(inverse(x100),divide(A,x100)) = divide(inverse(A),identity),
inference(cp,[status(thm)],[eq_22,eq_21]) ).
cnf(eq_30,plain,
divide(inverse(A),divide(divide(B,A),identity)) = inverse(B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_16,eq_2]),eq_2]) ).
cnf(eq_31,plain,
divide(inverse(A),identity) = divide(inverse(B),divide(A,B)),
eq_29 ).
cnf(eq_32,plain,
A = inverse(inverse(A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_26,eq_27]),eq_23]),eq_2]) ).
cnf(eq_33,plain,
A = divide(A,identity),
inference(cp,[status(thm)],[eq_28,eq_21]) ).
cnf(eq_34,negated_conjecture,
divide(inverse(A),divide(divide(inverse(a2),A),identity)) != a2,
inference(cp,[status(thm)],[eq_30,eq_24]) ).
cnf(eq_35,plain,
divide(inverse(B),divide(A,B)) = inverse(A),
inference(rw,[status(thm)],[eq_31,eq_33]) ).
cnf(eq_36,negated_conjecture,
a2 != a2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_34,eq_33]),eq_35]),eq_32]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP550-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : run_maedmax %d %s
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Jul 26 04:12:51 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.56 % SZS status Unsatisfiable
% 0.21/0.56 % SZS output start CNFRefutation for /tmp/MaedMax_8736
% See solution above
% 0.21/0.56
%------------------------------------------------------------------------------