%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWV006-1 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n022.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 04:45:54 PM UTC 2025
% Result : Unsatisfiable 0.20s 0.38s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named clause_6)
% Comments :
%------------------------------------------------------------------------------
cnf(17,plain,
( ~ less_than(X0,successor(n))
| ~ less_than(a(X0),a(m))
| less_than(X0,i) ),
inference(cnf,[status(esa)],[clause_6]) ).
cnf(l0,plain,
( ~ less_than(i,successor(n))
| ~ less_than(a(i),a(m))
| less_than(i,i) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(16,plain,
less_than(a(i),a(m)),
inference(cnf,[status(esa)],[clause_5]) ).
cnf(l12,plain,
less_than(a(i),a(m)),
inference(instantiation,[status(thm)],[16]) ).
cnf(6,plain,
( ~ less_than(X0,X1)
| ~ less_than(X1,X2)
| less_than(X0,X2) ),
inference(cnf,[status(esa)],[transitivity_of_less_than]) ).
cnf(l1,plain,
( ~ less_than(i,n)
| ~ less_than(n,successor(n))
| less_than(i,successor(n)) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(14,plain,
less_than(i,n),
inference(cnf,[status(esa)],[clause_3]) ).
cnf(l3,plain,
less_than(i,n),
inference(instantiation,[status(thm)],[14]) ).
cnf(9,plain,
( ~ less_than(X0,X1)
| ~ less_than(X1,X0) ),
inference(cnf,[status(esa)],[anti_symmetry_of_less_than]) ).
cnf(l8,plain,
( ~ less_than(i,i)
| ~ less_than(i,i) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(5,plain,
less_than(X0,successor(X0)),
inference(cnf,[status(esa)],[less_than_successor]) ).
cnf(l2,plain,
less_than(n,successor(n)),
inference(instantiation,[status(thm)],[5]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l12,l1,l3,l8,l2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV006-1 : TPTP v9.0.0. Released v1.0.0.
% 0.03/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Jul 22 07:58:34 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 7
% 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: 6
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 9
% 0.20/0.38 % SZS status Theorem for theBenchmark
% 0.20/0.38 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------