%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL414+1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 12:13:45 PM UTC 2026
% Result : Theorem 0.14s 0.37s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 15 ( 9 unt; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 39 ( 19 ~; 12 |; 8 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 41 ( 3 sgn 18 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thm147,plain,
~ ( ! [P,Q] :
( ~ a_truth(implies(P,Q))
| ~ a_truth(P)
| a_truth(Q) )
& ! [P,Q] : a_truth(implies(P,implies(Q,P)))
& ! [P,Q,R] : a_truth(implies(implies(P,implies(Q,R)),implies(implies(P,Q),implies(P,R))))
& ! [P,Q] : a_truth(implies(implies(not(P),not(Q)),implies(Q,P)))
& ? [A] : ~ a_truth(implies(A,A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm147) ).
fof(thm147_negated,plain,
~ ~ ( ! [P,Q] :
( ~ a_truth(implies(P,Q))
| ~ a_truth(P)
| a_truth(Q) )
& ! [P,Q] : a_truth(implies(P,implies(Q,P)))
& ! [P,Q,R] : a_truth(implies(implies(P,implies(Q,R)),implies(implies(P,Q),implies(P,R))))
& ! [P,Q] : a_truth(implies(implies(not(P),not(Q)),implies(Q,P)))
& ? [A] : ~ a_truth(implies(A,A)) ),
inference(negate_conjecture,[status(cth)],[thm147]) ).
cnf(1,plain,
a_truth(implies(X0,implies(X1,X0))),
inference(cnf,[status(esa)],[thm147_negated]) ).
cnf(l0,plain,
a_truth(implies(implies(X0_2,implies(X1_2,X0_2)),implies(sK1,implies(X0_2,implies(X1_2,X0_2))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(0,plain,
( ~ a_truth(X0)
| ~ a_truth(implies(X0,X1))
| a_truth(X1) ),
inference(cnf,[status(esa)],[thm147_negated]) ).
cnf(l1,plain,
( ~ a_truth(implies(X0_2,implies(X1_2,X0_2)))
| ~ a_truth(implies(implies(X0_2,implies(X1_2,X0_2)),implies(sK1,implies(X0_2,implies(X1_2,X0_2)))))
| a_truth(implies(sK1,implies(X0_2,implies(X1_2,X0_2)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l2,plain,
a_truth(implies(X0_2,implies(X1_2,X0_2))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l3,plain,
( ~ a_truth(implies(sK1,implies(X0_2,implies(X1_2,X0_2))))
| ~ a_truth(implies(implies(sK1,implies(X0_2,implies(X1_2,X0_2))),implies(sK1,sK1)))
| a_truth(implies(sK1,sK1)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l4,plain,
( ~ a_truth(implies(sK1,implies(implies(X0_2,implies(X1_2,X0_2)),sK1)))
| ~ a_truth(implies(implies(sK1,implies(implies(X0_2,implies(X1_2,X0_2)),sK1)),implies(implies(sK1,implies(X0_2,implies(X1_2,X0_2))),implies(sK1,sK1))))
| a_truth(implies(implies(sK1,implies(X0_2,implies(X1_2,X0_2))),implies(sK1,sK1))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(4,plain,
~ a_truth(implies(sK1,sK1)),
inference(cnf,[status(esa)],[thm147_negated]) ).
cnf(l5,plain,
~ a_truth(implies(sK1,sK1)),
inference(instantiation,[status(thm)],[4]) ).
cnf(2,plain,
a_truth(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))),
inference(cnf,[status(esa)],[thm147_negated]) ).
cnf(l6,plain,
a_truth(implies(implies(sK1,implies(implies(X0_2,implies(X1_2,X0_2)),sK1)),implies(implies(sK1,implies(X0_2,implies(X1_2,X0_2))),implies(sK1,sK1)))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l7,plain,
a_truth(implies(sK1,implies(implies(X0_2,implies(X1_2,X0_2)),sK1))),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l5,l6,l7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL414+1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n029.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 5 13:02:10 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.14/0.36 % launching worker at depth: 3
% 0.14/0.36 % launching worker at depth: 8
% 0.14/0.36 % launching worker at depth: 5
% 0.14/0.36 % launching worker at depth: 4
% 0.14/0.36 % launching worker at depth: 2
% 0.14/0.36 % launching worker at depth: 6
% 0.14/0.36 % launching worker at depth: 7
% 0.14/0.36 % launching worker at depth: 1
% 0.14/0.36 % launching worker at depth: 9
% 0.14/0.37 % SZS status Theorem for theBenchmark
% 0.14/0.37 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------