TSTP Solution File: SYN036-4 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN036-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n017.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 : 600s
% DateTime : Thu Jul 21 12:17:25 EDT 2022
% Result : Unsatisfiable 0.19s 0.40s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 17
% Syntax : Number of clauses : 42 ( 5 unt; 25 nHn; 42 RR)
% Number of literals : 156 ( 0 equ; 71 neg)
% Maximal clause size : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ p(cx)
| ~ q(cw)
| p(u)
| q(v) ),
file('SYN036-4.p',unknown),
[] ).
cnf(2,axiom,
( ~ q(u)
| ~ p(cx)
| p(v)
| q(cw) ),
file('SYN036-4.p',unknown),
[] ).
cnf(3,axiom,
( ~ p(u)
| ~ q(cw)
| p(cx)
| q(v) ),
file('SYN036-4.p',unknown),
[] ).
cnf(5,axiom,
( ~ p(u)
| ~ p(cx)
| ~ p(fy5(u))
| ~ q(cw)
| q(v) ),
file('SYN036-4.p',unknown),
[] ).
cnf(6,axiom,
( ~ p(u)
| ~ q(v)
| ~ p(fy5(u))
| ~ p(cx)
| q(cw) ),
file('SYN036-4.p',unknown),
[] ).
cnf(7,axiom,
( ~ q(u)
| ~ q(cw)
| ~ p(cx)
| ~ q(fz5(u))
| p(v) ),
file('SYN036-4.p',unknown),
[] ).
cnf(10,axiom,
( ~ p(cx)
| p(u)
| q(cw)
| q(v)
| q(fz(v)) ),
file('SYN036-4.p',unknown),
[] ).
cnf(13,axiom,
( ~ p(u)
| ~ q(v)
| ~ p(fy5(w))
| p(x)
| q(cw) ),
file('SYN036-4.p',unknown),
[] ).
cnf(14,axiom,
( ~ p(u)
| ~ q(v)
| p(w)
| p(fy5(w))
| q(cw) ),
file('SYN036-4.p',unknown),
[] ).
cnf(15,axiom,
( ~ p(u)
| p(cx)
| q(cw)
| q(v)
| q(fz(v)) ),
file('SYN036-4.p',unknown),
[] ).
cnf(16,axiom,
( ~ p(u)
| ~ q(v)
| ~ q(cw)
| ~ q(fz5(v))
| p(cx) ),
file('SYN036-4.p',unknown),
[] ).
cnf(19,axiom,
( ~ q(cw)
| p(cx)
| p(u)
| p(fy(u))
| q(v) ),
file('SYN036-4.p',unknown),
[] ).
cnf(20,axiom,
( ~ q(u)
| p(cx)
| p(v)
| p(fy(v))
| q(cw) ),
file('SYN036-4.p',unknown),
[] ).
cnf(22,axiom,
( ~ p(u)
| ~ p(cx)
| ~ p(fy(u))
| q(cw)
| q(v)
| q(fz(v)) ),
file('SYN036-4.p',unknown),
[] ).
cnf(23,axiom,
( ~ p(u)
| ~ q(v)
| ~ p(fy5(u))
| ~ q(cw)
| ~ p(cx)
| ~ q(fz5(v)) ),
file('SYN036-4.p',unknown),
[] ).
cnf(30,axiom,
( ~ q(u)
| ~ q(cw)
| ~ q(fz(u))
| p(cx)
| p(v)
| p(fy(v)) ),
file('SYN036-4.p',unknown),
[] ).
cnf(32,axiom,
( p(cx)
| p(u)
| p(fy5(u))
| q(cw)
| q(v)
| q(fz5(v)) ),
file('SYN036-4.p',unknown),
[] ).
cnf(33,plain,
( ~ q(u)
| p(v)
| p(fy(v))
| q(cw) ),
inference(mrr,[status(thm)],[20,2]),
[iquote('0:MRR:20.1,2.1')] ).
cnf(34,plain,
( ~ q(cw)
| p(u)
| p(fy(u))
| q(v) ),
inference(mrr,[status(thm)],[19,1]),
[iquote('0:MRR:19.1,1.0')] ).
cnf(35,plain,
( ~ p(u)
| p(cx)
| q(v)
| q(fz(v)) ),
inference(mrr,[status(thm)],[15,3]),
[iquote('0:MRR:15.2,3.1')] ).
cnf(36,plain,
( ~ p(cx)
| p(u)
| q(v)
| q(fz(v)) ),
inference(mrr,[status(thm)],[10,1]),
[iquote('0:MRR:10.2,1.1')] ).
cnf(37,plain,
( ~ q(u)
| ~ p(fy5(v))
| p(w)
| q(cw) ),
inference(con,[status(thm)],[13]),
[iquote('0:Con:13.0')] ).
cnf(38,plain,
( ~ p(u)
| ~ q(v)
| p(w)
| q(cw) ),
inference(mrr,[status(thm)],[14,37]),
[iquote('0:MRR:14.3,37.1')] ).
cnf(40,plain,
( ~ q(u)
| p(v)
| q(cw) ),
inference(mrr,[status(thm)],[33,38]),
[iquote('0:MRR:33.2,38.0')] ).
cnf(42,plain,
( p(cx)
| p(u)
| p(fy5(u))
| q(cw)
| q(v) ),
inference(mrr,[status(thm)],[32,40]),
[iquote('0:MRR:32.5,40.0')] ).
cnf(43,plain,
( p(cx)
| p(u)
| p(fy5(u))
| q(cw) ),
inference(con,[status(thm)],[42]),
[iquote('0:Con:42.4')] ).
cnf(44,plain,
( ~ p(u)
| ~ q(cw)
| p(cx) ),
inference(mrr,[status(thm)],[16,3]),
[iquote('0:MRR:16.1,16.3,3.3,3.3')] ).
cnf(45,plain,
( ~ q(cw)
| ~ p(cx)
| p(u) ),
inference(mrr,[status(thm)],[7,1]),
[iquote('0:MRR:7.0,7.3,1.3,1.3')] ).
cnf(46,plain,
( ~ q(u)
| q(cw) ),
inference(mrr,[status(thm)],[6,40]),
[iquote('0:MRR:6.0,6.2,6.3,40.1,40.1,40.1')] ).
cnf(47,plain,
( ~ p(cx)
| ~ q(cw)
| q(u) ),
inference(mrr,[status(thm)],[5,45]),
[iquote('0:MRR:5.0,5.2,45.2,45.2')] ).
cnf(49,plain,
( ~ q(cw)
| p(u)
| p(fy(u)) ),
inference(mrr,[status(thm)],[30,34,45]),
[iquote('0:MRR:30.0,30.2,30.3,34.3,34.3,45.1')] ).
cnf(50,plain,
( ~ p(cx)
| q(u)
| q(fz(u)) ),
inference(mrr,[status(thm)],[22,36,47]),
[iquote('0:MRR:22.0,22.2,22.3,36.1,36.1,47.1')] ).
cnf(51,plain,
( ~ p(u)
| q(v)
| q(fz(v)) ),
inference(mrr,[status(thm)],[35,50]),
[iquote('0:MRR:35.1,50.0')] ).
cnf(52,plain,
( ~ q(cw)
| ~ p(cx) ),
inference(mrr,[status(thm)],[23,45,47]),
[iquote('0:MRR:23.0,23.1,23.2,23.5,45.2,47.2,45.2,47.2')] ).
cnf(53,plain,
( ~ p(u)
| ~ q(cw) ),
inference(mrr,[status(thm)],[44,52]),
[iquote('0:MRR:44.2,52.1')] ).
cnf(55,plain,
( ~ q(cw)
| p(u) ),
inference(mrr,[status(thm)],[49,53]),
[iquote('0:MRR:49.2,53.0')] ).
cnf(56,plain,
~ q(cw),
inference(mrr,[status(thm)],[55,53]),
[iquote('0:MRR:55.1,53.0')] ).
cnf(57,plain,
( p(cx)
| p(u)
| p(fy5(u)) ),
inference(mrr,[status(thm)],[43,56]),
[iquote('0:MRR:43.3,56.0')] ).
cnf(58,plain,
~ q(u),
inference(mrr,[status(thm)],[46,56]),
[iquote('0:MRR:46.1,56.0')] ).
cnf(60,plain,
~ p(u),
inference(mrr,[status(thm)],[51,58]),
[iquote('0:MRR:51.2,51.1,58.0')] ).
cnf(61,plain,
~ p(cx),
inference(mrr,[status(thm)],[50,58]),
[iquote('0:MRR:50.1,50.2,58.0')] ).
cnf(62,plain,
$false,
inference(mrr,[status(thm)],[57,61,60]),
[iquote('0:MRR:57.0,57.1,57.2,61.0,60.0,60.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN036-4 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n017.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 : 600
% 0.12/0.33 % DateTime : Tue Jul 12 00:45:49 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.40
% 0.19/0.40 SPASS V 3.9
% 0.19/0.40 SPASS beiseite: Proof found.
% 0.19/0.40 % SZS status Theorem
% 0.19/0.40 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.40 SPASS derived 14 clauses, backtracked 0 clauses, performed 0 splits and kept 37 clauses.
% 0.19/0.40 SPASS allocated 75628 KBytes.
% 0.19/0.40 SPASS spent 0:00:00.05 on the problem.
% 0.19/0.40 0:00:00.03 for the input.
% 0.19/0.40 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.40 0:00:00.00 for inferences.
% 0.19/0.40 0:00:00.00 for the backtracking.
% 0.19/0.40 0:00:00.00 for the reduction.
% 0.19/0.40
% 0.19/0.40
% 0.19/0.40 Here is a proof with depth 0, length 42 :
% 0.19/0.40 % SZS output start Refutation
% See solution above
% 0.19/0.40 Formulae used in the proof : clause_1 clause_2 clause_3 clause_5 clause_6 clause_7 clause_10 clause_13 clause_14 clause_15 clause_16 clause_19 clause_20 clause_22 clause_23 clause_30 clause_32
% 0.19/0.40
%------------------------------------------------------------------------------