%------------------------------------------------------------------------------
% File : SPASS+T---2.2.22
% Problem : SWX000_1 : TPTP v9.1.0. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : spasst-tptp-script %s %d
% Computer : n028.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 : Sun Apr 6 10:09:28 AM UTC 2025
% Result : Theorem 0.84s 1.09s
% Output : Refutation 0.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 19 ( 12 unt; 1 nHn; 19 RR)
% Number of literals : 26 ( 0 equ; 9 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 6 ( 5 usr; 6 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
( hp
| skC0 ),
file('SWX000_1.p',unknown),
[] ).
cnf(6,axiom,
( ~ hp
| hq ),
file('SWX000_1.p',unknown),
[] ).
cnf(7,axiom,
( ~ tp
| tq ),
file('SWX000_1.p',unknown),
[] ).
cnf(8,axiom,
( ~ hp
| tp ),
file('SWX000_1.p',unknown),
[] ).
cnf(12,axiom,
( ~ skC0
| tp ),
file('SWX000_1.p',unknown),
[] ).
cnf(13,axiom,
( ~ hq
| skC0 ),
file('SWX000_1.p',unknown),
[] ).
cnf(15,axiom,
( ~ skC0
| ~ tq ),
file('SWX000_1.p',unknown),
[] ).
cnf(41,plain,
hp,
inference(spt,[spt(split,[position(s1)])],[5]),
[iquote('1:Spt:5.0')] ).
cnf(42,plain,
tp,
inference(mrr,[status(thm)],[8,41]),
[iquote('1:MRR:8.0,41.0')] ).
cnf(43,plain,
hq,
inference(mrr,[status(thm)],[6,41]),
[iquote('1:MRR:6.0,41.0')] ).
cnf(44,plain,
tq,
inference(mrr,[status(thm)],[7,42]),
[iquote('1:MRR:7.0,42.0')] ).
cnf(45,plain,
skC0,
inference(mrr,[status(thm)],[13,43]),
[iquote('1:MRR:13.0,43.0')] ).
cnf(47,plain,
~ skC0,
inference(mrr,[status(thm)],[15,44]),
[iquote('1:MRR:15.1,44.0')] ).
cnf(48,plain,
$false,
inference(mrr,[status(thm)],[47,45]),
[iquote('1:MRR:47.0,45.0')] ).
cnf(49,plain,
~ hp,
inference(spt,[spt(split,[position(sa)])],[48,41]),
[iquote('1:Spt:48.0,5.0,41.0')] ).
cnf(50,plain,
skC0,
inference(spt,[spt(split,[position(s2)])],[5]),
[iquote('1:Spt:48.0,5.1')] ).
cnf(51,plain,
tp,
inference(mrr,[status(thm)],[12,50]),
[iquote('1:MRR:12.0,50.0')] ).
cnf(52,plain,
tq,
inference(mrr,[status(thm)],[7,51]),
[iquote('1:MRR:7.0,51.0')] ).
cnf(53,plain,
$false,
inference(mrr,[status(thm)],[15,50,52]),
[iquote('1:MRR:15.0,15.1,50.0,52.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWX000_1 : TPTP v9.1.0. Released v9.1.0.
% 0.10/0.13 % Command : spasst-tptp-script %s %d
% 0.13/0.34 % Computer : n028.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 : Sun Apr 6 03:11:04 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.20/0.48 % Using EUF theory
% 0.84/1.09
% 0.84/1.09
% 0.84/1.09 % SZS status Theorem for /tmp/SPASST_8008_n028.cluster.edu
% 0.84/1.09
% 0.84/1.09 SPASS V 2.2.22 in combination with yices.
% 0.84/1.09 SPASS beiseite: Proof found by SPASS.
% 0.84/1.09 Problem: /tmp/SPASST_8008_n028.cluster.edu
% 0.84/1.09 SPASS derived 7 clauses, backtracked 9 clauses and kept 51 clauses.
% 0.84/1.09 SPASS backtracked 2 times (0 times due to theory inconsistency).
% 0.84/1.09 SPASS allocated 6397 KBytes.
% 0.84/1.09 SPASS spent 0:00:00.01 on the problem.
% 0.84/1.09 0:00:00.00 for the input.
% 0.84/1.09 0:00:00.00 for the FLOTTER CNF translation.
% 0.84/1.09 0:00:00.00 for inferences.
% 0.84/1.09 0:00:00.00 for the backtracking.
% 0.84/1.09 0:00:00.00 for the reduction.
% 0.84/1.09 0:00:00.00 for interacting with the SMT procedure.
% 0.84/1.09
% 0.84/1.09
% 0.84/1.09 % SZS output start CNFRefutation for /tmp/SPASST_8008_n028.cluster.edu
% See solution above
% 0.84/1.09
% 0.84/1.09 Formulae used in the proof : fof_formula_3_left_0 fof_formula_2_right_0 fof_formula_1_transition_axiom_1
% 0.84/1.11
% 0.84/1.11 SPASS+T ended
%------------------------------------------------------------------------------