%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GRP017-1 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n024.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 06:26:38 PM UTC 2025
% Result : Unsatisfiable 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_b_equals_c)
% Comments :
%------------------------------------------------------------------------------
cnf(12,plain,
b != c,
inference(cnf,[status(esa)],[prove_b_equals_c]) ).
cnf(l0,plain,
b != c,
inference(instantiation,[status(thm)],[12]) ).
cnf(5,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| X2 = X3 ),
inference(cnf,[status(esa)],[total_function2]) ).
cnf(l1,plain,
( ~ product(c,identity,b)
| ~ product(c,identity,c)
| b = c ),
inference(instantiation,[status(thm)],[5]) ).
cnf(6,plain,
( ~ product(X0,X1,X2)
| ~ product(X1,X3,X4)
| ~ product(X2,X3,X5)
| product(X0,X4,X5) ),
inference(cnf,[status(esa)],[associativity1]) ).
cnf(l2,plain,
( ~ product(c,a,identity)
| ~ product(a,b,identity)
| ~ product(identity,b,b)
| product(c,identity,b) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(0,plain,
product(identity,X0,X0),
inference(cnf,[status(esa)],[left_identity]) ).
cnf(l7,plain,
product(identity,b,b),
inference(instantiation,[status(thm)],[0]) ).
cnf(1,plain,
product(X0,identity,X0),
inference(cnf,[status(esa)],[right_identity]) ).
cnf(l4,plain,
product(c,identity,c),
inference(instantiation,[status(thm)],[1]) ).
cnf(11,plain,
product(c,a,identity),
inference(cnf,[status(esa)],[c_times_a_is_identity]) ).
cnf(l3,plain,
product(c,a,identity),
inference(instantiation,[status(thm)],[11]) ).
cnf(8,plain,
product(a,b,identity),
inference(cnf,[status(esa)],[a_times_b_is_identity]) ).
cnf(l5,plain,
product(a,b,identity),
inference(instantiation,[status(thm)],[8]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l7,l4,l3,l5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP017-1 : TPTP v9.0.0. Released v1.0.0.
% 0.07/0.14 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36 % Computer : n024.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Sun Jul 20 13:25:34 EDT 2025
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % launching worker at depth: 1
% 0.13/0.36 % launching worker at depth: 2
% 0.13/0.36 % launching worker at depth: 6
% 0.13/0.36 % launching worker at depth: 7
% 0.13/0.36 % launching worker at depth: 4
% 0.13/0.36 % launching worker at depth: 5
% 0.13/0.36 % launching worker at depth: 3
% 0.13/0.36 % launching worker at depth: 8
% 0.13/0.36 % launching worker at depth: 9
% 0.13/0.37 % launching worker at depth: 10
% 0.13/0.38 % SZS status Theorem for theBenchmark
% 0.13/0.38 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------