%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN014-2 : 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 : Fri Jul 25 09:26:37 PM UTC 2025
% Result : Unsatisfiable 0.19s 0.46s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_3)
% Comments :
%------------------------------------------------------------------------------
cnf(5,plain,
( ~ element(X0,a)
| equalish(X0,a)
| equalish(X0,k) ),
inference(cnf,[status(esa)],[c_3]) ).
cnf(l0,plain,
( ~ element(n,a)
| equalish(n,a)
| equalish(n,k) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(2,plain,
( ~ equalish(X0,X1)
| ~ equalish(X1,X2)
| equalish(X0,X2) ),
inference(cnf,[status(esa)],[transitivityish]) ).
cnf(l3,plain,
( ~ equalish(n,k)
| ~ equalish(k,m)
| equalish(n,m) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(1,plain,
( ~ equalish(X0,X1)
| equalish(X1,X0) ),
inference(cnf,[status(esa)],[symmetryish]) ).
cnf(l27,plain,
( ~ equalish(n,m)
| equalish(m,n) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(4,plain,
( ~ equalish(X0,X1)
| ~ element(X0,X2)
| element(X1,X2) ),
inference(cnf,[status(esa)],[element_substitutionish2]) ).
cnf(l4,plain,
( ~ equalish(k,n)
| ~ element(k,a)
| element(n,a) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(20,plain,
~ equalish(n,a),
inference(cnf,[status(esa)],[c_18]) ).
cnf(l1,plain,
~ equalish(n,a),
inference(instantiation,[status(thm)],[20]) ).
cnf(21,plain,
~ equalish(m,n),
inference(cnf,[status(esa)],[c_19]) ).
cnf(l35,plain,
~ equalish(m,n),
inference(instantiation,[status(thm)],[21]) ).
cnf(6,plain,
( ~ equalish(X0,k)
| equalish(X0,a)
| element(X0,a) ),
inference(cnf,[status(esa)],[c_4]) ).
cnf(l6,plain,
( ~ equalish(k,k)
| equalish(k,a)
| element(k,a) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(24,plain,
~ equalish(k,a),
inference(cnf,[status(esa)],[c_22]) ).
cnf(l20,plain,
~ equalish(k,a),
inference(instantiation,[status(thm)],[24]) ).
cnf(l18,plain,
( ~ equalish(m,k)
| equalish(k,m) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(0,plain,
equalish(X0,X0),
inference(cnf,[status(esa)],[reflexivityish]) ).
cnf(l14,plain,
equalish(k,k),
inference(instantiation,[status(thm)],[0]) ).
cnf(l7,plain,
( ~ equalish(n,k)
| equalish(k,n) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(22,plain,
equalish(n,k),
inference(cnf,[status(esa)],[c_20]) ).
cnf(l10,plain,
equalish(n,k),
inference(instantiation,[status(thm)],[22]) ).
cnf(25,plain,
equalish(m,k),
inference(cnf,[status(esa)],[c_23]) ).
cnf(l30,plain,
equalish(m,k),
inference(instantiation,[status(thm)],[25]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l3,l27,l4,l1,l35,l6,l20,l18,l14,l7,l10,l30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN014-2 : TPTP v9.0.0. Released v1.0.0.
% 0.12/0.13 % 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 : Tue Jul 22 15:25:19 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.19/0.34 % launching worker at depth: 2
% 0.19/0.34 % launching worker at depth: 1
% 0.19/0.34 % launching worker at depth: 8
% 0.19/0.34 % launching worker at depth: 4
% 0.19/0.34 % launching worker at depth: 5
% 0.19/0.34 % launching worker at depth: 6
% 0.19/0.34 % launching worker at depth: 3
% 0.19/0.34 % launching worker at depth: 7
% 0.19/0.34 % launching worker at depth: 9
% 0.19/0.43 % launching worker at depth: 10
% 0.19/0.46 % SZS status Theorem for theBenchmark
% 0.19/0.46 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------