%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GRP036-3 : 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 : n018.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 06:26:42 PM UTC 2025
% Result : Unsatisfiable 172.22s 21.98s
% Output : CNFRefutation 172.22s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_identity_equals_another_identity)
% Comments :
%------------------------------------------------------------------------------
cnf(15,plain,
identity != another_identity,
inference(cnf,[status(esa)],[prove_identity_equals_another_identity]) ).
cnf(l0,plain,
identity != another_identity,
inference(instantiation,[status(thm)],[15]) ).
cnf(5,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| X2 = X3 ),
inference(cnf,[status(esa)],[total_function2]) ).
cnf(l1,plain,
( ~ product(another_identity,another_identity,identity)
| ~ product(another_identity,another_identity,another_identity)
| identity = another_identity ),
inference(instantiation,[status(thm)],[5]) ).
cnf(10,plain,
( ~ subgroup_member(X0)
| product(X0,another_identity,X0) ),
inference(cnf,[status(esa)],[another_right_identity]) ).
cnf(l4,plain,
( ~ subgroup_member(another_identity)
| product(another_identity,another_identity,another_identity) ),
inference(instantiation,[status(thm)],[10]) ).
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(another_identity,identity,identity)
| ~ product(identity,another_identity,another_identity)
| ~ product(identity,another_identity,identity)
| product(another_identity,another_identity,identity) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(0,plain,
product(identity,X0,X0),
inference(cnf,[status(esa)],[left_identity]) ).
cnf(l5,plain,
product(identity,another_identity,another_identity),
inference(instantiation,[status(thm)],[0]) ).
cnf(9,plain,
( ~ subgroup_member(X0)
| product(another_identity,X0,X0) ),
inference(cnf,[status(esa)],[another_left_identity]) ).
cnf(l3,plain,
( ~ subgroup_member(identity)
| product(another_identity,identity,identity) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l14,plain,
( ~ subgroup_member(identity)
| product(identity,another_identity,identity) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(l30,plain,
( ~ product(another_identity,inverse(another_identity),multiply(another_identity,inverse(another_identity)))
| ~ product(another_identity,inverse(another_identity),identity)
| multiply(another_identity,inverse(another_identity)) = identity ),
inference(instantiation,[status(thm)],[5]) ).
cnf(8,plain,
( ~ product(X0,inverse(X1),X2)
| ~ subgroup_member(X0)
| ~ subgroup_member(X1)
| subgroup_member(X2) ),
inference(cnf,[status(esa)],[closure_of_product_and_inverse]) ).
cnf(l28,plain,
( ~ product(another_identity,inverse(another_identity),multiply(another_identity,inverse(another_identity)))
| ~ subgroup_member(another_identity)
| ~ subgroup_member(another_identity)
| subgroup_member(multiply(another_identity,inverse(another_identity))) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l94,plain,
( ~ product(another_identity,inverse(another_identity),identity)
| ~ subgroup_member(another_identity)
| ~ subgroup_member(another_identity)
| subgroup_member(identity) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(3,plain,
product(X0,inverse(X0),identity),
inference(cnf,[status(esa)],[right_inverse]) ).
cnf(l97,plain,
product(another_identity,inverse(another_identity),identity),
inference(instantiation,[status(thm)],[3]) ).
cnf(14,plain,
subgroup_member(another_identity),
inference(cnf,[status(esa)],[another_identity_in_subgroup]) ).
cnf(l75,plain,
subgroup_member(another_identity),
inference(instantiation,[status(thm)],[14]) ).
cnf(l158,plain,
subgroup_member(another_identity),
inference(instantiation,[status(thm)],[14]) ).
cnf(l74,plain,
subgroup_member(another_identity),
inference(instantiation,[status(thm)],[14]) ).
cnf(4,plain,
product(X0,X1,multiply(X0,X1)),
inference(cnf,[status(esa)],[total_function1]) ).
cnf(l48,plain,
product(another_identity,inverse(another_identity),multiply(another_identity,inverse(another_identity))),
inference(instantiation,[status(thm)],[4]) ).
cnf(l153,plain,
subgroup_member(another_identity),
inference(instantiation,[status(thm)],[14]) ).
cnf(l42,plain,
product(another_identity,inverse(another_identity),identity),
inference(instantiation,[status(thm)],[3]) ).
cnf(l44,plain,
product(another_identity,inverse(another_identity),multiply(another_identity,inverse(another_identity))),
inference(instantiation,[status(thm)],[4]) ).
cnf(l6,plain,
subgroup_member(another_identity),
inference(instantiation,[status(thm)],[14]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l4,l2,l5,l3,l14,l30,l28,l94,l97,l75,l158,l74,l48,l153,l42,l44,l6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP036-3 : TPTP v9.0.0. Released v1.0.0.
% 0.11/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n018.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 : 300
% 0.12/0.33 % DateTime : Sun Jul 20 13:30:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.18/0.51 % launching worker at depth: 11
% 172.22/21.98 % SZS status Theorem for theBenchmark
% 172.22/21.98 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------