%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP045-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n022.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 0.91s 1.08s
% Output : Refutation 0.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of clauses : 29 ( 15 unt; 0 nHn; 23 RR)
% Number of literals : 52 ( 0 equ; 24 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 : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 54 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_product_with_b,negated_conjecture,
~ product(c,b,result),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_product_with_b) ).
cnf(total_function1,axiom,
product(X4,X5,multiply(X4,X5)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP005-0.ax',total_function1) ).
cnf(product_substitution3,axiom,
( ~ equalish(X41,X44)
| ~ product(X43,X42,X41)
| product(X43,X42,X44) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP005-0.ax',product_substitution3) ).
cnf(c30,plain,
( ~ equalish(multiply(X63,X62),X64)
| product(X63,X62,X64) ),
inference(resolution,[status(thm)],[product_substitution3,total_function1]) ).
cnf(product_with_a,plain,
product(c,a,result),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_with_a) ).
cnf(total_function2,axiom,
( ~ product(X6,X9,X7)
| ~ product(X6,X9,X8)
| equalish(X7,X8) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP005-0.ax',total_function2) ).
cnf(c4,plain,
( ~ product(c,a,X49)
| equalish(X49,result) ),
inference(resolution,[status(thm)],[total_function2,product_with_a]) ).
cnf(left_identity,axiom,
product(identity,X2,X2),
file('/export/starexec/sandbox/benchmark/Axioms/GRP005-0.ax',left_identity) ).
cnf(associativity2,axiom,
( ~ product(X33,X32,X29)
| ~ product(X32,X30,X31)
| ~ product(X33,X31,X34)
| product(X29,X30,X34) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP005-0.ax',associativity2) ).
cnf(c21,plain,
( ~ product(X95,X96,X98)
| ~ product(X96,X97,X96)
| product(X98,X97,X98) ),
inference(factor,[status(thm)],[associativity2]) ).
cnf(c150,plain,
( ~ product(X151,identity,X150)
| product(X150,identity,X150) ),
inference(resolution,[status(thm)],[c21,left_identity]) ).
cnf(left_inverse,axiom,
product(inverse(X3),X3,identity),
file('/export/starexec/sandbox/benchmark/Axioms/GRP005-0.ax',left_inverse) ).
cnf(associativity1,axiom,
( ~ product(X18,X17,X14)
| ~ product(X17,X15,X16)
| ~ product(X14,X15,X19)
| product(X18,X16,X19) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP005-0.ax',associativity1) ).
cnf(c11,plain,
( ~ product(X66,X67,identity)
| ~ product(X67,X69,X68)
| product(X66,X68,X69) ),
inference(resolution,[status(thm)],[associativity1,left_identity]) ).
cnf(c84,plain,
( ~ product(X229,inverse(X230),identity)
| product(X229,identity,X230) ),
inference(resolution,[status(thm)],[c11,left_inverse]) ).
cnf(c705,plain,
product(inverse(inverse(X231)),identity,X231),
inference(resolution,[status(thm)],[c84,left_inverse]) ).
cnf(c728,plain,
product(X232,identity,X232),
inference(resolution,[status(thm)],[c705,c150]) ).
cnf(c29,plain,
( ~ equalish(X47,X46)
| product(identity,X47,X46) ),
inference(resolution,[status(thm)],[product_substitution3,left_identity]) ).
cnf(c1,plain,
( ~ product(identity,X21,X20)
| equalish(X20,X21) ),
inference(resolution,[status(thm)],[total_function2,left_identity]) ).
cnf(a_equals_b,plain,
equalish(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_equals_b) ).
cnf(c33,plain,
product(identity,a,b),
inference(resolution,[status(thm)],[c29,a_equals_b]) ).
cnf(c45,plain,
equalish(b,a),
inference(resolution,[status(thm)],[c33,c1]) ).
cnf(c48,plain,
product(identity,b,a),
inference(resolution,[status(thm)],[c45,c29]) ).
cnf(c12,plain,
( ~ product(X77,X81,X79)
| ~ product(X81,X80,X78)
| product(X77,X78,multiply(X79,X80)) ),
inference(resolution,[status(thm)],[associativity1,total_function1]) ).
cnf(c99,plain,
( ~ product(X270,identity,X269)
| product(X270,a,multiply(X269,b)) ),
inference(resolution,[status(thm)],[c12,c48]) ).
cnf(c1050,plain,
product(X303,a,multiply(X303,b)),
inference(resolution,[status(thm)],[c99,c728]) ).
cnf(c1369,plain,
equalish(multiply(c,b),result),
inference(resolution,[status(thm)],[c1050,c4]) ).
cnf(c1501,plain,
product(c,b,result),
inference(resolution,[status(thm)],[c1369,c30]) ).
cnf(c1510,plain,
$false,
inference(resolution,[status(thm)],[c1501,prove_product_with_b]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GRP045-2 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.15 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.37 % Computer : n022.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Thu May 9 04:48:23 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.91/1.08 % Version: 1.5
% 0.91/1.08 % SZS status Unsatisfiable
% 0.91/1.08 % SZS output start CNFRefutation
% See solution above
% 0.91/1.08
% 0.91/1.08 % Initial clauses : 10
% 0.91/1.08 % Processed clauses : 154
% 0.91/1.08 % Factors computed : 25
% 0.91/1.08 % Resolvents computed: 1493
% 0.91/1.08 % Tautologies deleted: 8
% 0.91/1.08 % Forward subsumed : 165
% 0.91/1.08 % Backward subsumed : 7
% 0.91/1.08 % -------- CPU Time ---------
% 0.91/1.08 % User time : 0.699 s
% 0.91/1.08 % System time : 0.013 s
% 0.91/1.08 % Total time : 0.712 s
%------------------------------------------------------------------------------