%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GRP035-3 : 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 : n032.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 4.66s 0.86s
% Output : CNFRefutation 4.66s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_c_is_in_subgroup)
% Comments :
%------------------------------------------------------------------------------
cnf(12,plain,
~ subgroup_member(c),
inference(cnf,[status(esa)],[prove_c_is_in_subgroup]) ).
cnf(l0,plain,
~ subgroup_member(c),
inference(instantiation,[status(thm)],[12]) ).
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(l1,plain,
( ~ product(a,inverse(inverse(b)),c)
| ~ subgroup_member(a)
| ~ subgroup_member(inverse(b))
| subgroup_member(c) ),
inference(instantiation,[status(thm)],[8]) ).
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(a,b,multiply(identity,c))
| ~ product(b,identity,inverse(inverse(b)))
| ~ product(multiply(identity,c),identity,c)
| product(a,inverse(inverse(b)),c) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(9,plain,
subgroup_member(a),
inference(cnf,[status(esa)],[a_is_in_subgroup]) ).
cnf(l3,plain,
subgroup_member(a),
inference(instantiation,[status(thm)],[9]) ).
cnf(l4,plain,
( ~ product(b,inverse(b),identity)
| ~ product(inverse(b),inverse(inverse(b)),identity)
| ~ product(identity,inverse(inverse(b)),inverse(inverse(b)))
| product(b,identity,inverse(inverse(b))) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(7,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ product(X1,X5,X3)
| product(X2,X5,X4) ),
inference(cnf,[status(esa)],[associativity2]) ).
cnf(l5,plain,
( ~ product(identity,a,a)
| ~ product(identity,c,multiply(identity,c))
| ~ product(a,b,c)
| product(a,b,multiply(identity,c)) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(0,plain,
product(identity,X0,X0),
inference(cnf,[status(esa)],[left_identity]) ).
cnf(l8,plain,
product(identity,a,a),
inference(instantiation,[status(thm)],[0]) ).
cnf(l23,plain,
product(identity,inverse(inverse(b)),inverse(inverse(b))),
inference(instantiation,[status(thm)],[0]) ).
cnf(3,plain,
product(X0,inverse(X0),identity),
inference(cnf,[status(esa)],[right_inverse]) ).
cnf(l6,plain,
product(b,inverse(b),identity),
inference(instantiation,[status(thm)],[3]) ).
cnf(4,plain,
product(X0,X1,multiply(X0,X1)),
inference(cnf,[status(esa)],[total_function1]) ).
cnf(l7,plain,
product(identity,c,multiply(identity,c)),
inference(instantiation,[status(thm)],[4]) ).
cnf(l24,plain,
( ~ product(identity,inverse(b),inverse(b))
| ~ subgroup_member(identity)
| ~ subgroup_member(b)
| subgroup_member(inverse(b)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l9,plain,
product(inverse(b),inverse(inverse(b)),identity),
inference(instantiation,[status(thm)],[3]) ).
cnf(l26,plain,
( ~ product(identity,c,multiply(identity,c))
| ~ product(identity,c,c)
| ~ product(c,identity,c)
| product(multiply(identity,c),identity,c) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l33,plain,
product(identity,inverse(b),inverse(b)),
inference(instantiation,[status(thm)],[0]) ).
cnf(l35,plain,
( ~ product(a,inverse(a),identity)
| ~ subgroup_member(a)
| ~ subgroup_member(a)
| subgroup_member(identity) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(1,plain,
product(X0,identity,X0),
inference(cnf,[status(esa)],[right_identity]) ).
cnf(l28,plain,
product(c,identity,c),
inference(instantiation,[status(thm)],[1]) ).
cnf(l38,plain,
subgroup_member(a),
inference(instantiation,[status(thm)],[9]) ).
cnf(l29,plain,
product(identity,c,c),
inference(instantiation,[status(thm)],[0]) ).
cnf(l37,plain,
product(a,inverse(a),identity),
inference(instantiation,[status(thm)],[3]) ).
cnf(10,plain,
subgroup_member(b),
inference(cnf,[status(esa)],[b_is_in_subgroup]) ).
cnf(l40,plain,
subgroup_member(b),
inference(instantiation,[status(thm)],[10]) ).
cnf(l30,plain,
product(identity,c,multiply(identity,c)),
inference(instantiation,[status(thm)],[4]) ).
cnf(l39,plain,
subgroup_member(a),
inference(instantiation,[status(thm)],[9]) ).
cnf(11,plain,
product(a,b,c),
inference(cnf,[status(esa)],[a_times_b_is_c]) ).
cnf(l27,plain,
product(a,b,c),
inference(instantiation,[status(thm)],[11]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l5,l8,l23,l6,l7,l24,l9,l26,l33,l35,l28,l38,l29,l37,l40,l30,l39,l27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.08 % Problem : GRP035-3 : TPTP v9.0.0. Released v1.0.0.
% 0.05/0.09 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Sun Jul 20 13:30:49 EDT 2025
% 0.08/0.28 % CPUTime :
% 0.08/0.28 % launching worker at depth: 5
% 0.08/0.28 % launching worker at depth: 8
% 0.08/0.28 % launching worker at depth: 3
% 0.08/0.28 % launching worker at depth: 4
% 0.08/0.28 % launching worker at depth: 2
% 0.08/0.28 % launching worker at depth: 6
% 0.08/0.28 % launching worker at depth: 7
% 0.08/0.28 % launching worker at depth: 1
% 0.08/0.28 % launching worker at depth: 9
% 0.08/0.28 % launching worker at depth: 10
% 0.08/0.29 % launching worker at depth: 11
% 4.66/0.86 % SZS status Theorem for theBenchmark
% 4.66/0.86 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------