%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GRP045-2 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n021.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 Jul 24 06:26:43 PM UTC 2025
% Result : Unsatisfiable 0.23s 0.49s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_product_with_b)
% Comments :
%------------------------------------------------------------------------------
cnf(9,plain,
~ product(c,b,result),
inference(cnf,[status(esa)],[prove_product_with_b]) ).
cnf(l0,plain,
~ product(c,b,result),
inference(instantiation,[status(thm)],[9]) ).
cnf(4,plain,
( ~ product(X0,X1,X2)
| ~ product(X1,X3,X4)
| ~ product(X2,X3,X5)
| product(X0,X4,X5) ),
inference(cnf,[status(esa)],[associativity1]) ).
cnf(l1,plain,
( ~ product(c,identity,multiply(c,identity))
| ~ product(identity,a,b)
| ~ product(multiply(c,identity),a,result)
| product(c,b,result) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(5,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ product(X1,X5,X3)
| product(X2,X5,X4) ),
inference(cnf,[status(esa)],[associativity2]) ).
cnf(l4,plain,
( ~ product(c,identity,multiply(c,identity))
| ~ product(c,a,result)
| ~ product(identity,a,a)
| product(multiply(c,identity),a,result) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(8,plain,
product(c,a,result),
inference(cnf,[status(esa)],[product_with_a]) ).
cnf(l9,plain,
product(c,a,result),
inference(instantiation,[status(thm)],[8]) ).
cnf(0,plain,
product(identity,X0,X0),
inference(cnf,[status(esa)],[left_identity]) ).
cnf(l11,plain,
product(identity,a,a),
inference(instantiation,[status(thm)],[0]) ).
cnf(2,plain,
product(X0,X1,multiply(X0,X1)),
inference(cnf,[status(esa)],[total_function1]) ).
cnf(l10,plain,
product(c,identity,multiply(c,identity)),
inference(instantiation,[status(thm)],[2]) ).
cnf(l2,plain,
product(c,identity,multiply(c,identity)),
inference(instantiation,[status(thm)],[2]) ).
cnf(6,plain,
( ~ product(X0,X1,X2)
| ~ equalish(X2,X3)
| product(X0,X1,X3) ),
inference(cnf,[status(esa)],[product_substitution3]) ).
cnf(l3,plain,
( ~ product(identity,a,a)
| ~ equalish(a,b)
| product(identity,a,b) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(7,plain,
equalish(a,b),
inference(cnf,[status(esa)],[a_equals_b]) ).
cnf(l5,plain,
equalish(a,b),
inference(instantiation,[status(thm)],[7]) ).
cnf(l12,plain,
product(identity,a,a),
inference(instantiation,[status(thm)],[0]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l4,l9,l11,l10,l2,l3,l5,l12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP045-2 : TPTP v9.0.0. Released v1.0.0.
% 0.03/0.14 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36 % Computer : n021.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun Jul 20 13:32:34 EDT 2025
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % launching worker at depth: 1
% 0.15/0.37 % launching worker at depth: 5
% 0.15/0.37 % launching worker at depth: 6
% 0.15/0.37 % launching worker at depth: 4
% 0.15/0.37 % launching worker at depth: 8
% 0.15/0.37 % launching worker at depth: 2
% 0.15/0.37 % launching worker at depth: 7
% 0.15/0.37 % launching worker at depth: 3
% 0.15/0.37 % launching worker at depth: 9
% 0.15/0.37 % launching worker at depth: 10
% 0.23/0.49 % SZS status Theorem for theBenchmark
% 0.23/0.49 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------