TSTP Solution File: GRP006-1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GRP006-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n012.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 : 600s
% DateTime : Sat Jul 16 11:21:15 EDT 2022
% Result : Unsatisfiable 0.18s 0.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_b_inverse_is_in_set,negated_conjecture,
~ an_element(inverse(the_element)),
input ).
cnf(element_of_set,plain,
an_element(the_element),
input ).
cnf(right_inverse,axiom,
product(X4,inverse(X4),identity),
input ).
cnf(condition,axiom,
( ~ an_element(X7)
| ~ an_element(X6)
| ~ product(X7,inverse(X6),X8)
| an_element(X8) ),
input ).
cnf(c2,plain,
( ~ an_element(X9)
| an_element(identity) ),
inference(resolution,status(thm),[condition,right_inverse]) ).
cnf(c3,plain,
an_element(identity),
inference(resolution,status(thm),[c2,element_of_set]) ).
cnf(left_identity,axiom,
product(identity,X2,X2),
input ).
cnf(c0,plain,
( ~ an_element(identity)
| ~ an_element(X10)
| an_element(inverse(X10)) ),
inference(resolution,status(thm),[condition,left_identity]) ).
cnf(c5,plain,
( ~ an_element(identity)
| an_element(inverse(the_element)) ),
inference(resolution,status(thm),[c0,element_of_set]) ).
cnf(c12,plain,
an_element(inverse(the_element)),
inference(resolution,status(thm),[c5,c3]) ).
cnf(c14,plain,
$false,
inference(resolution,status(thm),[c12,prove_b_inverse_is_in_set]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GRP006-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n012.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 : 600
% 0.12/0.33 % DateTime : Tue Jun 14 03:09:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.51 # Version: 1.3
% 0.18/0.51 # SZS status Unsatisfiable
% 0.18/0.51 # SZS output start CNFRefutation
% See solution above
% 0.18/0.51
% 0.18/0.51 # Initial clauses : 9
% 0.18/0.51 # Processed clauses : 15
% 0.18/0.51 # Factors computed : 0
% 0.18/0.51 # Resolvents computed: 15
% 0.18/0.51 # Tautologies deleted: 0
% 0.18/0.51 # Forward subsumed : 0
% 0.18/0.51 # Backward subsumed : 3
% 0.18/0.51 # -------- CPU Time ---------
% 0.18/0.51 # User time : 0.166 s
% 0.18/0.51 # System time : 0.009 s
% 0.18/0.51 # Total time : 0.175 s
%------------------------------------------------------------------------------