%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWV376+1 : TPTP v9.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n025.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 04:46:48 PM UTC 2025
% Result : Theorem 20.53s 2.94s
% Output : CNFRefutation 20.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 9 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 49 ( 25 ~; 14 |; 0 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-3 aty)
% Number of variables : 42 ( 0 sgn 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l12_co,plain,
! [U,V,W] :
( ~ ok(triple(U,V,W))
=> ! [X,Y,Z] :
( succ_cpq(triple(U,V,W),triple(X,Y,Z))
=> ~ ok(triple(X,Y,Z)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l12_co) ).
fof(l12_co_negated,plain,
~ ! [U,V,W] :
( ~ ok(triple(U,V,W))
=> ! [X,Y,Z] :
( succ_cpq(triple(U,V,W),triple(X,Y,Z))
=> ~ ok(triple(X,Y,Z)) ) ),
inference(negate_conjecture,[status(cth)],[l12_co]) ).
cnf(54,plain,
~ ok(triple(sK7,sK8,sK9)),
inference(cnf,[status(esa)],[l12_co_negated]) ).
cnf(l0,plain,
~ ok(triple(sK7,sK8,sK9)),
inference(instantiation,[status(thm)],[54]) ).
fof(l12_induction,plain,
( ! [U,V,W,X,Y,Z] :
( succ_cpq(triple(U,V,W),triple(X,Y,Z))
=> ( ~ ok(triple(X,Y,Z))
=> ~ ok(im_succ_cpq(triple(X,Y,Z))) ) )
=> ! [X1,X2,X3] :
( ~ ok(triple(X1,X2,X3))
=> ! [X4,X5,X6] :
( succ_cpq(triple(X1,X2,X3),triple(X4,X5,X6))
=> ~ ok(triple(X4,X5,X6)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l12_induction) ).
cnf(51,plain,
( ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
| ~ ok(triple(X3,X4,X5))
| ~ ok(triple(sK4,sK5,sK6))
| ok(triple(X0,X1,X2)) ),
inference(cnf,[status(esa)],[l12_induction]) ).
cnf(l1,plain,
( ~ succ_cpq(triple(sK7,sK8,sK9),triple(sK10,sK11,sK12))
| ~ ok(triple(sK10,sK11,sK12))
| ~ ok(triple(sK4,sK5,sK6))
| ok(triple(sK7,sK8,sK9)) ),
inference(instantiation,[status(thm)],[51]) ).
fof(l12_l13,plain,
! [U,V,W] :
( ~ ok(triple(U,V,W))
=> ~ ok(im_succ_cpq(triple(U,V,W))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l12_l13) ).
cnf(53,plain,
( ~ ok(im_succ_cpq(triple(X0,X1,X2)))
| ok(triple(X0,X1,X2)) ),
inference(cnf,[status(esa)],[l12_l13]) ).
cnf(l22,plain,
( ~ ok(im_succ_cpq(triple(sK4,sK5,sK6)))
| ok(triple(sK4,sK5,sK6)) ),
inference(instantiation,[status(thm)],[53]) ).
cnf(56,plain,
ok(triple(sK10,sK11,sK12)),
inference(cnf,[status(esa)],[l12_co_negated]) ).
cnf(l27,plain,
ok(triple(sK10,sK11,sK12)),
inference(instantiation,[status(thm)],[56]) ).
cnf(55,plain,
succ_cpq(triple(sK7,sK8,sK9),triple(sK10,sK11,sK12)),
inference(cnf,[status(esa)],[l12_co_negated]) ).
cnf(l2,plain,
succ_cpq(triple(sK7,sK8,sK9),triple(sK10,sK11,sK12)),
inference(instantiation,[status(thm)],[55]) ).
cnf(52,plain,
( ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
| ~ ok(triple(X3,X4,X5))
| ok(triple(X0,X1,X2))
| ok(im_succ_cpq(triple(sK4,sK5,sK6))) ),
inference(cnf,[status(esa)],[l12_induction]) ).
cnf(l23,plain,
( ~ succ_cpq(triple(sK7,sK8,sK9),triple(sK10,sK11,sK12))
| ~ ok(triple(sK10,sK11,sK12))
| ok(triple(sK7,sK8,sK9))
| ok(im_succ_cpq(triple(sK4,sK5,sK6))) ),
inference(instantiation,[status(thm)],[52]) ).
cnf(l25,plain,
succ_cpq(triple(sK7,sK8,sK9),triple(sK10,sK11,sK12)),
inference(instantiation,[status(thm)],[55]) ).
cnf(l24,plain,
ok(triple(sK10,sK11,sK12)),
inference(instantiation,[status(thm)],[56]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l22,l27,l2,l23,l25,l24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV376+1 : TPTP v9.0.0. Released v3.3.0.
% 0.03/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n025.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 09:06:04 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.36 % launching worker at depth: 10
% 0.19/0.44 % launching worker at depth: 11
% 20.53/2.94 % SZS status Theorem for theBenchmark
% 20.53/2.94 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------