TSTP Solution File: GRP003-1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GRP003-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n017.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 11:21:14 EDT 2022
% Result : Unsatisfiable 0.39s 0.58s
% Output : Refutation 0.39s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_there_is_a_right_identity,negated_conjecture,
~ product(a,identity,a),
input ).
cnf(left_inverse,axiom,
product(inverse(X3),X3,identity),
input ).
cnf(left_identity,axiom,
product(identity,X2,X2),
input ).
cnf(associativity1,axiom,
( ~ product(X6,X7,X4)
| ~ product(X7,X5,X8)
| ~ product(X4,X5,X9)
| product(X6,X8,X9) ),
input ).
cnf(c1,plain,
( ~ product(X11,X12,identity)
| ~ product(X12,X10,X13)
| product(X11,X13,X10) ),
inference(resolution,status(thm),[associativity1,left_identity]) ).
cnf(c2,plain,
( ~ product(X26,inverse(X25),identity)
| product(X26,identity,X25) ),
inference(resolution,status(thm),[c1,left_inverse]) ).
cnf(c12,plain,
product(inverse(inverse(X31)),identity,X31),
inference(resolution,status(thm),[c2,left_inverse]) ).
cnf(associativity2,axiom,
( ~ product(X16,X17,X14)
| ~ product(X17,X15,X18)
| ~ product(X16,X18,X19)
| product(X14,X15,X19) ),
input ).
cnf(c4,plain,
( ~ product(inverse(X37),X39,X38)
| ~ product(X39,X40,X37)
| product(X38,X40,identity) ),
inference(resolution,status(thm),[associativity2,left_inverse]) ).
cnf(c30,plain,
( ~ product(identity,X87,inverse(X86))
| product(X86,X87,identity) ),
inference(resolution,status(thm),[c4,c12]) ).
cnf(c127,plain,
product(X88,inverse(X88),identity),
inference(resolution,status(thm),[c30,left_identity]) ).
cnf(c131,plain,
product(X89,identity,X89),
inference(resolution,status(thm),[c127,c2]) ).
cnf(c153,plain,
$false,
inference(resolution,status(thm),[c131,prove_there_is_a_right_identity]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP003-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n017.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 02:51:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.39/0.58 # Version: 1.3
% 0.39/0.58 # SZS status Unsatisfiable
% 0.39/0.58 # SZS output start CNFRefutation
% See solution above
% 0.39/0.58
% 0.39/0.58 # Initial clauses : 5
% 0.39/0.58 # Processed clauses : 35
% 0.39/0.58 # Factors computed : 5
% 0.39/0.58 # Resolvents computed: 152
% 0.39/0.58 # Tautologies deleted: 3
% 0.39/0.58 # Forward subsumed : 26
% 0.39/0.58 # Backward subsumed : 2
% 0.39/0.58 # -------- CPU Time ---------
% 0.39/0.58 # User time : 0.212 s
% 0.39/0.58 # System time : 0.019 s
% 0.39/0.58 # Total time : 0.231 s
%------------------------------------------------------------------------------