TSTP Solution File: GRP044-2 by PyRes---1.5
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%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP044-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n002.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 : Thu May 9 17:22:54 EDT 2024
% Result : Unsatisfiable 0.71s 0.91s
% Output : Refutation 0.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of clauses : 25 ( 12 unt; 0 nHn; 21 RR)
% Number of literals : 47 ( 0 equ; 23 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 46 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_product_with_b,negated_conjecture,
~ product(b,c,result),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_product_with_b) ).
cnf(left_identity,axiom,
product(identity,X2,X2),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP005-0.ax',left_identity) ).
cnf(product_with_a,plain,
product(a,c,result),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_with_a) ).
cnf(associativity1,axiom,
( ~ product(X17,X19,X18)
| ~ product(X19,X16,X14)
| ~ product(X18,X16,X15)
| product(X17,X14,X15) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP005-0.ax',associativity1) ).
cnf(c11,plain,
( ~ product(X68,X67,a)
| ~ product(X67,c,X66)
| product(X68,X66,result) ),
inference(resolution,[status(thm)],[associativity1,product_with_a]) ).
cnf(c84,plain,
( ~ product(X216,identity,a)
| product(X216,c,result) ),
inference(resolution,[status(thm)],[c11,left_identity]) ).
cnf(total_function2,axiom,
( ~ product(X7,X8,X9)
| ~ product(X7,X8,X6)
| equalish(X9,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP005-0.ax',total_function2) ).
cnf(c2,plain,
( ~ product(identity,X20,X21)
| equalish(X21,X20) ),
inference(resolution,[status(thm)],[total_function2,left_identity]) ).
cnf(a_equals_b,plain,
equalish(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_equals_b) ).
cnf(product_substitution3,axiom,
( ~ equalish(X38,X39)
| ~ product(X37,X40,X38)
| product(X37,X40,X39) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP005-0.ax',product_substitution3) ).
cnf(c30,plain,
( ~ equalish(X44,X45)
| product(identity,X44,X45) ),
inference(resolution,[status(thm)],[product_substitution3,left_identity]) ).
cnf(c33,plain,
product(identity,a,b),
inference(resolution,[status(thm)],[c30,a_equals_b]) ).
cnf(c42,plain,
equalish(b,a),
inference(resolution,[status(thm)],[c33,c2]) ).
cnf(associativity2,axiom,
( ~ product(X30,X32,X31)
| ~ product(X32,X29,X27)
| ~ product(X30,X27,X28)
| product(X31,X29,X28) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP005-0.ax',associativity2) ).
cnf(c19,plain,
( ~ product(X93,X96,X94)
| ~ product(X96,X95,X96)
| product(X94,X95,X94) ),
inference(factor,[status(thm)],[associativity2]) ).
cnf(c149,plain,
( ~ product(X150,identity,X151)
| product(X151,identity,X151) ),
inference(resolution,[status(thm)],[c19,left_identity]) ).
cnf(left_inverse,axiom,
product(inverse(X3),X3,identity),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP005-0.ax',left_inverse) ).
cnf(c12,plain,
( ~ product(X78,X76,identity)
| ~ product(X76,X75,X77)
| product(X78,X77,X75) ),
inference(resolution,[status(thm)],[associativity1,left_identity]) ).
cnf(c95,plain,
( ~ product(X238,inverse(X239),identity)
| product(X238,identity,X239) ),
inference(resolution,[status(thm)],[c12,left_inverse]) ).
cnf(c770,plain,
product(inverse(inverse(X240)),identity,X240),
inference(resolution,[status(thm)],[c95,left_inverse]) ).
cnf(c794,plain,
product(X241,identity,X241),
inference(resolution,[status(thm)],[c770,c149]) ).
cnf(c807,plain,
( ~ equalish(X251,X252)
| product(X251,identity,X252) ),
inference(resolution,[status(thm)],[c794,product_substitution3]) ).
cnf(c907,plain,
product(b,identity,a),
inference(resolution,[status(thm)],[c807,c42]) ).
cnf(c922,plain,
product(b,c,result),
inference(resolution,[status(thm)],[c907,c84]) ).
cnf(c954,plain,
$false,
inference(resolution,[status(thm)],[c922,prove_product_with_b]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP044-2 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n002.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 : Thu May 9 04:29:08 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.71/0.91 % Version: 1.5
% 0.71/0.91 % SZS status Unsatisfiable
% 0.71/0.91 % SZS output start CNFRefutation
% See solution above
% 0.71/0.91
% 0.71/0.91 % Initial clauses : 10
% 0.71/0.91 % Processed clauses : 126
% 0.71/0.91 % Factors computed : 23
% 0.71/0.91 % Resolvents computed: 935
% 0.71/0.91 % Tautologies deleted: 6
% 0.71/0.91 % Forward subsumed : 128
% 0.71/0.91 % Backward subsumed : 3
% 0.71/0.91 % -------- CPU Time ---------
% 0.71/0.91 % User time : 0.551 s
% 0.71/0.91 % System time : 0.007 s
% 0.71/0.91 % Total time : 0.558 s
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