%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GRP043-2 : 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 : n028.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 4.94s 1.00s
% Output : CNFRefutation 4.94s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_transitivity)
% Comments :
%------------------------------------------------------------------------------
cnf(9,plain,
~ equalish(a,c),
inference(cnf,[status(esa)],[prove_transitivity]) ).
cnf(l0,plain,
~ equalish(a,c),
inference(instantiation,[status(thm)],[9]) ).
cnf(3,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| equalish(X2,X3) ),
inference(cnf,[status(esa)],[total_function2]) ).
cnf(l1,plain,
( ~ product(identity,a,a)
| ~ product(identity,a,c)
| equalish(a,c) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(0,plain,
product(identity,X0,X0),
inference(cnf,[status(esa)],[left_identity]) ).
cnf(l2,plain,
product(identity,a,a),
inference(instantiation,[status(thm)],[0]) ).
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(identity,identity,identity)
| ~ product(identity,b,c)
| ~ product(identity,a,b)
| product(identity,a,c) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(6,plain,
( ~ product(X0,X1,X2)
| ~ equalish(X2,X3)
| product(X0,X1,X3) ),
inference(cnf,[status(esa)],[product_substitution3]) ).
cnf(l11,plain,
( ~ product(identity,b,b)
| ~ equalish(b,c)
| product(identity,b,c) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l14,plain,
product(identity,b,b),
inference(instantiation,[status(thm)],[0]) ).
cnf(l7,plain,
product(identity,identity,identity),
inference(instantiation,[status(thm)],[0]) ).
cnf(l6,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(l9,plain,
equalish(a,b),
inference(instantiation,[status(thm)],[7]) ).
cnf(l18,plain,
product(identity,a,a),
inference(instantiation,[status(thm)],[0]) ).
cnf(8,plain,
equalish(b,c),
inference(cnf,[status(esa)],[b_equals_c]) ).
cnf(l22,plain,
equalish(b,c),
inference(instantiation,[status(thm)],[8]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l4,l11,l14,l7,l6,l9,l18,l22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP043-2 : TPTP v9.0.0. Released v1.0.0.
% 0.10/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sun Jul 20 13:32:49 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.34 % launching worker at depth: 10
% 0.13/0.35 % launching worker at depth: 11
% 4.94/1.00 % SZS status Theorem for theBenchmark
% 4.94/1.00 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------