%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN075-1 : 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 : Fri Jul 25 09:26:49 PM UTC 2025
% Result : Unsatisfiable 2.44s 0.67s
% Output : CNFRefutation 2.44s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named clause_9)
% Comments :
%------------------------------------------------------------------------------
cnf(7,plain,
( f(X0) != X0
| h(X0,X1) = X1
| big_f(h(X0,X1),f(X0)) ),
inference(cnf,[status(esa)],[clause_9]) ).
cnf(l0,plain,
( f(b) != b
| h(b,a) = a
| big_f(h(b,a),f(b)) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(4,plain,
( X0 != g(X1)
| f(X1) = X1
| big_f(X0,f(X1)) ),
inference(cnf,[status(esa)],[clause_6]) ).
cnf(l2,plain,
( g(b) != g(b)
| f(b) = b
| big_f(g(b),f(b)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(0,plain,
( ~ big_f(X0,X1)
| X0 = a ),
inference(cnf,[status(esa)],[clause_1]) ).
cnf(l3,plain,
( ~ big_f(h(b,a),f(b))
| h(b,a) = a ),
inference(instantiation,[status(thm)],[0]) ).
cnf(3,plain,
( X0 != g(X1)
| ~ big_f(X0,f(X1))
| f(X1) = X1 ),
inference(cnf,[status(esa)],[clause_4]) ).
cnf(l6,plain,
( g(b) != g(b)
| ~ big_f(g(b),f(b))
| f(b) = b ),
inference(instantiation,[status(thm)],[3]) ).
cnf(8,plain,
( f(X0) != X0
| h(X0,X1) != X1
| ~ big_f(h(X0,X1),f(X0)) ),
inference(cnf,[status(esa)],[clause_10]) ).
cnf(l17,plain,
( f(b) != b
| h(b,a) != a
| ~ big_f(h(b,a),f(b)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(1,plain,
( ~ big_f(X0,X1)
| X1 = b ),
inference(cnf,[status(esa)],[clause_2]) ).
cnf(l18,plain,
( ~ big_f(h(b,a),f(b))
| f(b) = b ),
inference(instantiation,[status(thm)],[1]) ).
cnf(2,plain,
( X0 != a
| X1 != b
| big_f(X0,X1) ),
inference(cnf,[status(esa)],[clause_3]) ).
cnf(l1,plain,
( h(b,a) != a
| f(b) != b
| big_f(h(b,a),f(b)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l4,plain,
( g(b) != g(b)
| f(b) = b
| big_f(g(b),f(b)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l53,plain,
( ~ big_f(h(b,a),f(b))
| f(b) = b ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l55,plain,
( f(b) != b
| h(b,a) != a
| ~ big_f(h(b,a),f(b)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l30,plain,
( ~ big_f(g(b),f(b))
| f(b) = b ),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l3,l6,l17,l18,l1,l4,l53,l55,l30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN075-1 : TPTP v9.0.0. Released v1.0.0.
% 0.07/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Jul 22 15:32:49 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % launching worker at depth: 4
% 0.12/0.35 % launching worker at depth: 8
% 0.12/0.35 % launching worker at depth: 3
% 0.12/0.35 % launching worker at depth: 2
% 0.12/0.35 % launching worker at depth: 5
% 0.12/0.35 % launching worker at depth: 6
% 0.12/0.35 % launching worker at depth: 7
% 0.12/0.35 % launching worker at depth: 1
% 0.12/0.35 % launching worker at depth: 9
% 0.12/0.36 % launching worker at depth: 10
% 2.44/0.67 % SZS status Theorem for theBenchmark
% 2.44/0.67 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------