%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : MSC012+1 : TPTP v9.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 11:13:20 AM UTC 2025
% Result : Theorem 3.51s 0.82s
% Output : CNFRefutation 3.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 34 ( 13 unt; 0 def)
% Number of atoms : 76 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 72 ( 30 ~; 36 |; 4 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 0 con; 1-1 aty)
% Number of variables : 37 ( 0 sgn 7 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goal_to_be_proved,plain,
goal,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_to_be_proved) ).
fof(goal_to_be_proved_negated,plain,
~ goal,
inference(negate_conjecture,[status(cth)],[goal_to_be_proved]) ).
cnf(5,plain,
~ goal,
inference(cnf,[status(esa)],[goal_to_be_proved_negated]) ).
cnf(l0,plain,
~ goal,
inference(instantiation,[status(thm)],[5]) ).
fof(left_to_right,plain,
! [A,B] :
( ( p(A)
& less(A,B)
& p(B) )
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_to_right) ).
cnf(0,plain,
( ~ p(X0)
| ~ p(X1)
| ~ less(X0,X1)
| goal ),
inference(cnf,[status(esa)],[left_to_right]) ).
cnf(l1,plain,
( ~ p(sK1(X0_80))
| ~ p(sK2(sK1(X0_80)))
| ~ less(sK1(X0_80),sK2(sK1(X0_80)))
| goal ),
inference(instantiation,[status(thm)],[0]) ).
fof(right_to_left,plain,
! [A] :
( p(A)
| ? [B] :
( less(A,B)
& p(B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_to_left) ).
cnf(2,plain,
( p(X0)
| p(sK1(X0)) ),
inference(cnf,[status(esa)],[right_to_left]) ).
cnf(l5,plain,
( p(X0_80)
| p(sK1(X0_80)) ),
inference(instantiation,[status(thm)],[2]) ).
fof(serial_less,plain,
! [A] :
? [B] : less(A,B),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',serial_less) ).
cnf(4,plain,
less(X0,sK2(X0)),
inference(cnf,[status(esa)],[serial_less]) ).
cnf(l4,plain,
less(sK1(X0_80),sK2(sK1(X0_80))),
inference(instantiation,[status(thm)],[4]) ).
cnf(l7,plain,
( ~ p(X0_80)
| ~ p(sK2(X0_80))
| ~ less(X0_80,sK2(X0_80))
| goal ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l10,plain,
less(X0_80,sK2(X0_80)),
inference(instantiation,[status(thm)],[4]) ).
cnf(1,plain,
( p(X0)
| less(X0,sK1(X0)) ),
inference(cnf,[status(esa)],[right_to_left]) ).
cnf(l74,plain,
( p(sK2(X0_80))
| less(sK2(X0_80),sK1(sK2(X0_80))) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l2,plain,
( p(sK2(sK1(X0_80)))
| p(sK1(sK2(sK1(X0_80)))) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l3,plain,
( ~ p(sK1(sK2(sK1(X0_80))))
| ~ p(sK1(sK2(sK1(sK2(sK1(X0_80))))))
| ~ less(sK1(sK2(sK1(X0_80))),sK1(sK2(sK1(sK2(sK1(X0_80))))))
| goal ),
inference(instantiation,[status(thm)],[0]) ).
fof(transitive_less,plain,
! [A,B,C] :
( ( less(A,B)
& less(B,C) )
=> less(A,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitive_less) ).
cnf(3,plain,
( ~ less(X0,X1)
| ~ less(X1,X2)
| less(X0,X2) ),
inference(cnf,[status(esa)],[transitive_less]) ).
cnf(l75,plain,
( ~ less(X0_80,sK2(X0_80))
| ~ less(sK2(X0_80),sK1(sK2(X0_80)))
| less(X0_80,sK1(sK2(X0_80))) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l87,plain,
( p(sK2(sK1(sK2(sK1(X0_80)))))
| p(sK1(sK2(sK1(sK2(sK1(X0_80)))))) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l77,plain,
( ~ p(X0_80)
| ~ p(sK1(sK2(X0_80)))
| ~ less(X0_80,sK1(sK2(X0_80)))
| goal ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l80,plain,
less(X0_80,sK2(X0_80)),
inference(instantiation,[status(thm)],[4]) ).
cnf(l6,plain,
( ~ less(sK1(sK2(sK1(X0_80))),sK2(sK1(sK2(sK1(X0_80)))))
| ~ less(sK2(sK1(sK2(sK1(X0_80)))),sK1(sK2(sK1(sK2(sK1(X0_80))))))
| less(sK1(sK2(sK1(X0_80))),sK1(sK2(sK1(sK2(sK1(X0_80)))))) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l8,plain,
less(sK1(sK2(sK1(X0_80))),sK2(sK1(sK2(sK1(X0_80))))),
inference(instantiation,[status(thm)],[4]) ).
cnf(l82,plain,
( p(sK2(X0_80))
| p(sK1(sK2(X0_80))) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l99,plain,
( ~ p(sK1(sK2(sK1(X0_80))))
| ~ p(sK2(sK1(sK2(sK1(X0_80)))))
| ~ less(sK1(sK2(sK1(X0_80))),sK2(sK1(sK2(sK1(X0_80)))))
| goal ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l107,plain,
less(sK1(sK2(sK1(X0_80))),sK2(sK1(sK2(sK1(X0_80))))),
inference(instantiation,[status(thm)],[4]) ).
cnf(l12,plain,
( p(sK2(sK1(sK2(sK1(X0_80)))))
| less(sK2(sK1(sK2(sK1(X0_80)))),sK1(sK2(sK1(sK2(sK1(X0_80)))))) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l20,plain,
( ~ p(sK1(sK2(sK1(X0_80))))
| ~ p(sK2(sK1(sK2(sK1(X0_80)))))
| ~ less(sK1(sK2(sK1(X0_80))),sK2(sK1(sK2(sK1(X0_80)))))
| goal ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l125,plain,
less(sK1(sK2(sK1(X0_80))),sK2(sK1(sK2(sK1(X0_80))))),
inference(instantiation,[status(thm)],[4]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l5,l4,l7,l10,l74,l2,l3,l75,l87,l77,l80,l6,l8,l82,l99,l107,l12,l20,l125]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : MSC012+1 : TPTP v9.0.0. Released v3.2.0.
% 0.10/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Jul 21 07:39:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.34 % launching worker at depth: 11
% 0.12/0.34 % launching worker at depth: 12
% 0.18/0.45 % launching worker at depth: 13
% 3.51/0.82 % SZS status Theorem for theBenchmark
% 3.51/0.82 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------