TSTP Solution File: SYN177-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN177-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n014.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 12:19:14 EDT 2022
% Result : Unsatisfiable 0.19s 0.48s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 16
% Syntax : Number of clauses : 29 ( 16 unt; 0 nHn; 29 RR)
% Number of literals : 45 ( 0 equ; 20 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ q3(u,b),
file('SYN177-1.p',unknown),
[] ).
cnf(6,axiom,
s0(b),
file('SYN177-1.p',unknown),
[] ).
cnf(8,axiom,
n0(d,b),
file('SYN177-1.p',unknown),
[] ).
cnf(10,axiom,
r0(b),
file('SYN177-1.p',unknown),
[] ).
cnf(15,axiom,
p0(b,u),
file('SYN177-1.p',unknown),
[] ).
cnf(16,axiom,
n0(a,b),
file('SYN177-1.p',unknown),
[] ).
cnf(33,axiom,
k0(b),
file('SYN177-1.p',unknown),
[] ).
cnf(40,axiom,
( ~ n0(u,v)
| k1(v) ),
file('SYN177-1.p',unknown),
[] ).
cnf(41,axiom,
( ~ n0(u,v)
| l1(v,v) ),
file('SYN177-1.p',unknown),
[] ).
cnf(124,axiom,
( ~ p0(u,v)
| p1(v,v,v) ),
file('SYN177-1.p',unknown),
[] ).
cnf(164,axiom,
( ~ p0(u,u)
| s1(u) ),
file('SYN177-1.p',unknown),
[] ).
cnf(175,axiom,
( ~ k1(b)
| m2(b) ),
file('SYN177-1.p',unknown),
[] ).
cnf(216,axiom,
( ~ k0(u)
| ~ p1(v,v,v)
| q2(v,u,u) ),
file('SYN177-1.p',unknown),
[] ).
cnf(225,axiom,
( ~ l1(u,v)
| q2(v,v,u) ),
file('SYN177-1.p',unknown),
[] ).
cnf(228,axiom,
( ~ s1(b)
| ~ q2(b,u,b)
| s2(u) ),
file('SYN177-1.p',unknown),
[] ).
cnf(294,axiom,
( ~ n0(u,v)
| ~ q2(u,v,w)
| q3(v,w) ),
file('SYN177-1.p',unknown),
[] ).
cnf(421,plain,
( ~ n0(u,v)
| ~ q2(u,v,b) ),
inference(res,[status(thm),theory(equality)],[294,1]),
[iquote('0:Res:294.2,1.0')] ).
cnf(456,plain,
s1(b),
inference(res,[status(thm),theory(equality)],[15,164]),
[iquote('0:Res:15.0,164.0')] ).
cnf(457,plain,
( ~ q2(b,u,b)
| s2(u) ),
inference(mrr,[status(thm)],[228,456]),
[iquote('0:MRR:228.0,456.0')] ).
cnf(462,plain,
k1(b),
inference(res,[status(thm),theory(equality)],[16,40]),
[iquote('0:Res:16.0,40.0')] ).
cnf(470,plain,
m2(b),
inference(mrr,[status(thm)],[175,462]),
[iquote('0:MRR:175.0,462.0')] ).
cnf(477,plain,
l1(b,b),
inference(res,[status(thm),theory(equality)],[16,41]),
[iquote('0:Res:16.0,41.0')] ).
cnf(503,plain,
q2(b,b,b),
inference(res,[status(thm),theory(equality)],[477,225]),
[iquote('0:Res:477.0,225.0')] ).
cnf(505,plain,
s2(b),
inference(res,[status(thm),theory(equality)],[503,457]),
[iquote('0:Res:503.0,457.0')] ).
cnf(543,plain,
p1(u,u,u),
inference(res,[status(thm),theory(equality)],[15,124]),
[iquote('0:Res:15.0,124.0')] ).
cnf(545,plain,
( ~ k0(u)
| q2(v,u,u) ),
inference(mrr,[status(thm)],[216,543]),
[iquote('0:MRR:216.1,543.0')] ).
cnf(631,plain,
( ~ k0(b)
| ~ n0(u,b) ),
inference(res,[status(thm),theory(equality)],[545,421]),
[iquote('0:Res:545.1,421.1')] ).
cnf(632,plain,
~ n0(u,b),
inference(ssi,[status(thm)],[631,6,33,10,470,462,505]),
[iquote('0:SSi:631.0,6.0,33.0,10.0,470.0,462.0,505.0')] ).
cnf(633,plain,
$false,
inference(unc,[status(thm)],[632,8]),
[iquote('0:UnC:632.0,8.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN177-1 : TPTP v8.1.0. Released v1.1.0.
% 0.12/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n014.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
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jul 12 02:17:19 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.48
% 0.19/0.48 SPASS V 3.9
% 0.19/0.48 SPASS beiseite: Proof found.
% 0.19/0.48 % SZS status Theorem
% 0.19/0.48 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.48 SPASS derived 180 clauses, backtracked 0 clauses, performed 0 splits and kept 441 clauses.
% 0.19/0.48 SPASS allocated 76173 KBytes.
% 0.19/0.48 SPASS spent 0:00:00.12 on the problem.
% 0.19/0.48 0:00:00.04 for the input.
% 0.19/0.48 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.48 0:00:00.00 for inferences.
% 0.19/0.48 0:00:00.00 for the backtracking.
% 0.19/0.48 0:00:00.04 for the reduction.
% 0.19/0.48
% 0.19/0.48
% 0.19/0.48 Here is a proof with depth 3, length 29 :
% 0.19/0.48 % SZS output start Refutation
% See solution above
% 0.19/0.48 Formulae used in the proof : prove_this axiom_5 axiom_7 axiom_9 axiom_14 axiom_15 axiom_32 rule_001 rule_002 rule_085 rule_125 rule_136 rule_177 rule_186 rule_189 rule_255
% 0.19/0.48
%------------------------------------------------------------------------------