%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYO691-1.000 : TPTP v9.0.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n031.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 09:59:12 PM UTC 2025
% Result : Unsatisfiable 0.10s 0.32s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
~ seq(succ(succ(succ(zero))),X0,X0),
inference(cnf,[status(esa)],[prove]) ).
cnf(l0,plain,
~ seq(succ(succ(succ(zero))),f(f(f(f(a,a),f(f(a,a),a)),f(a,a)),f(f(f(a,a),f(a,a)),a)),f(f(f(f(a,a),f(f(a,a),a)),f(a,a)),f(f(f(a,a),f(a,a)),a))),
inference(instantiation,[status(thm)],[1]) ).
cnf(6,plain,
( ~ step(X0,X1)
| ~ seq(X2,X3,X0)
| seq(succ(X2),X3,X1) ),
inference(cnf,[status(esa)],[rewrite_sequence_succ]) ).
cnf(l1,plain,
( ~ step(f(f(f(f(a,a),f(f(a,a),a)),f(a,a)),f(f(a,a),f(f(a,a),a))),f(f(f(f(a,a),f(f(a,a),a)),f(a,a)),f(f(f(a,a),f(a,a)),a)))
| ~ seq(succ(succ(zero)),f(f(f(f(a,a),f(f(a,a),a)),f(a,a)),f(f(f(a,a),f(a,a)),a)),f(f(f(f(a,a),f(f(a,a),a)),f(a,a)),f(f(a,a),f(f(a,a),a))))
| seq(succ(succ(succ(zero))),f(f(f(f(a,a),f(f(a,a),a)),f(a,a)),f(f(f(a,a),f(a,a)),a)),f(f(f(f(a,a),f(f(a,a),a)),f(a,a)),f(f(f(a,a),f(a,a)),a))) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(4,plain,
( ~ step(X0,X1)
| step(f(X2,X0),f(X2,X1)) ),
inference(cnf,[status(esa)],[rewrite_right]) ).
cnf(l2,plain,
( ~ step(f(f(a,a),f(f(a,a),a)),f(f(f(a,a),f(a,a)),a))
| step(f(f(f(f(a,a),f(f(a,a),a)),f(a,a)),f(f(a,a),f(f(a,a),a))),f(f(f(f(a,a),f(f(a,a),a)),f(a,a)),f(f(f(a,a),f(a,a)),a))) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l3,plain,
( ~ step(f(f(f(f(a,a),f(a,a)),f(f(a,a),a)),f(f(a,a),f(f(a,a),a))),f(f(f(f(a,a),f(f(a,a),a)),f(a,a)),f(f(a,a),f(f(a,a),a))))
| ~ seq(succ(zero),f(f(f(f(a,a),f(f(a,a),a)),f(a,a)),f(f(f(a,a),f(a,a)),a)),f(f(f(f(a,a),f(a,a)),f(f(a,a),a)),f(f(a,a),f(f(a,a),a))))
| seq(succ(succ(zero)),f(f(f(f(a,a),f(f(a,a),a)),f(a,a)),f(f(f(a,a),f(a,a)),a)),f(f(f(f(a,a),f(f(a,a),a)),f(a,a)),f(f(a,a),f(f(a,a),a)))) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(2,plain,
( ~ top(X0,X1)
| step(X0,X1) ),
inference(cnf,[status(esa)],[rewrite_top]) ).
cnf(l4,plain,
( ~ top(f(f(a,a),f(f(a,a),a)),f(f(f(a,a),f(a,a)),a))
| step(f(f(a,a),f(f(a,a),a)),f(f(f(a,a),f(a,a)),a)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l5,plain,
( ~ step(f(f(f(f(a,a),f(f(a,a),a)),f(a,a)),f(f(f(a,a),f(a,a)),a)),f(f(f(f(a,a),f(a,a)),f(f(a,a),a)),f(f(a,a),f(f(a,a),a))))
| ~ seq(zero,f(f(f(f(a,a),f(f(a,a),a)),f(a,a)),f(f(f(a,a),f(a,a)),a)),f(f(f(f(a,a),f(f(a,a),a)),f(a,a)),f(f(f(a,a),f(a,a)),a)))
| seq(succ(zero),f(f(f(f(a,a),f(f(a,a),a)),f(a,a)),f(f(f(a,a),f(a,a)),a)),f(f(f(f(a,a),f(a,a)),f(f(a,a),a)),f(f(a,a),f(f(a,a),a)))) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(0,plain,
top(f(f(X0,X1),f(X2,a)),f(f(X2,f(X1,a)),X0)),
inference(cnf,[status(esa)],[rule_1]) ).
cnf(l6,plain,
top(f(f(a,a),f(f(a,a),a)),f(f(f(a,a),f(a,a)),a)),
inference(instantiation,[status(thm)],[0]) ).
cnf(3,plain,
( ~ step(X0,X1)
| step(f(X0,X2),f(X1,X2)) ),
inference(cnf,[status(esa)],[rewrite_left]) ).
cnf(l7,plain,
( ~ step(f(f(f(a,a),f(a,a)),f(f(a,a),a)),f(f(f(a,a),f(f(a,a),a)),f(a,a)))
| step(f(f(f(f(a,a),f(a,a)),f(f(a,a),a)),f(f(a,a),f(f(a,a),a))),f(f(f(f(a,a),f(f(a,a),a)),f(a,a)),f(f(a,a),f(f(a,a),a)))) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(5,plain,
seq(zero,X0,X0),
inference(cnf,[status(esa)],[rewrite_sequence_zero]) ).
cnf(l8,plain,
seq(zero,f(f(f(f(a,a),f(f(a,a),a)),f(a,a)),f(f(f(a,a),f(a,a)),a)),f(f(f(f(a,a),f(f(a,a),a)),f(a,a)),f(f(f(a,a),f(a,a)),a))),
inference(instantiation,[status(thm)],[5]) ).
cnf(l9,plain,
( ~ top(f(f(f(a,a),f(a,a)),f(f(a,a),a)),f(f(f(a,a),f(f(a,a),a)),f(a,a)))
| step(f(f(f(a,a),f(a,a)),f(f(a,a),a)),f(f(f(a,a),f(f(a,a),a)),f(a,a))) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l10,plain,
top(f(f(f(a,a),f(a,a)),f(f(a,a),a)),f(f(f(a,a),f(f(a,a),a)),f(a,a))),
inference(instantiation,[status(thm)],[0]) ).
cnf(l11,plain,
( ~ top(f(f(f(f(a,a),f(f(a,a),a)),f(a,a)),f(f(f(a,a),f(a,a)),a)),f(f(f(f(a,a),f(a,a)),f(f(a,a),a)),f(f(a,a),f(f(a,a),a))))
| step(f(f(f(f(a,a),f(f(a,a),a)),f(a,a)),f(f(f(a,a),f(a,a)),a)),f(f(f(f(a,a),f(a,a)),f(f(a,a),a)),f(f(a,a),f(f(a,a),a)))) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l12,plain,
top(f(f(f(f(a,a),f(f(a,a),a)),f(a,a)),f(f(f(a,a),f(a,a)),a)),f(f(f(f(a,a),f(a,a)),f(f(a,a),a)),f(f(a,a),f(f(a,a),a)))),
inference(instantiation,[status(thm)],[0]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l5,l6,l7,l8,l9,l10,l11,l12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : SYO691-1.000 : TPTP v9.0.0. Released v7.3.0.
% 0.02/0.11 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.31 % Computer : n031.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Jul 22 20:17:19 EDT 2025
% 0.10/0.31 % CPUTime :
% 0.10/0.32 % launching worker at depth: 1
% 0.10/0.32 % launching worker at depth: 2
% 0.10/0.32 % launching worker at depth: 3
% 0.10/0.32 % launching worker at depth: 4
% 0.10/0.32 % launching worker at depth: 5
% 0.10/0.32 % launching worker at depth: 6
% 0.10/0.32 % launching worker at depth: 7
% 0.10/0.32 % launching worker at depth: 8
% 0.10/0.32 % launching worker at depth: 9
% 0.10/0.32 % launching worker at depth: 10
% 0.10/0.32 % launching worker at depth: 11
% 0.10/0.32 % launching worker at depth: 12
% 0.10/0.32 % SZS status Theorem for theBenchmark
% 0.10/0.32 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------