%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN109-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n006.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 12:18:46 EDT 2022
% Result : Unsatisfiable 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 23
% Syntax : Number of clauses : 45 ( 26 unt; 0 nHn; 45 RR)
% Number of literals : 71 ( 0 equ; 30 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 21 ( 20 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ k2(b,c),
file('SYN109-1.p',unknown),
[] ).
cnf(6,axiom,
s0(b),
file('SYN109-1.p',unknown),
[] ).
cnf(10,axiom,
r0(b),
file('SYN109-1.p',unknown),
[] ).
cnf(15,axiom,
p0(b,u),
file('SYN109-1.p',unknown),
[] ).
cnf(16,axiom,
n0(a,b),
file('SYN109-1.p',unknown),
[] ).
cnf(20,axiom,
m0(u,d,v),
file('SYN109-1.p',unknown),
[] ).
cnf(25,axiom,
l0(c),
file('SYN109-1.p',unknown),
[] ).
cnf(27,axiom,
n0(d,c),
file('SYN109-1.p',unknown),
[] ).
cnf(33,axiom,
k0(b),
file('SYN109-1.p',unknown),
[] ).
cnf(40,axiom,
( ~ n0(u,v)
| k1(v) ),
file('SYN109-1.p',unknown),
[] ).
cnf(41,axiom,
( ~ n0(u,v)
| l1(v,v) ),
file('SYN109-1.p',unknown),
[] ).
cnf(68,axiom,
( ~ s0(u)
| ~ p0(u,v)
| m1(u,v,u) ),
file('SYN109-1.p',unknown),
[] ).
cnf(124,axiom,
( ~ p0(u,v)
| p1(v,v,v) ),
file('SYN109-1.p',unknown),
[] ).
cnf(146,axiom,
( ~ m0(u,d,u)
| ~ m0(e,d,u)
| q1(e,u,u) ),
file('SYN109-1.p',unknown),
[] ).
cnf(164,axiom,
( ~ p0(u,u)
| s1(u) ),
file('SYN109-1.p',unknown),
[] ).
cnf(166,axiom,
( ~ k1(u)
| ~ k2(u,v)
| ~ m1(w,v,x)
| k2(x,v) ),
file('SYN109-1.p',unknown),
[] ).
cnf(168,axiom,
( ~ q1(u,v,v)
| k2(v,v) ),
file('SYN109-1.p',unknown),
[] ).
cnf(175,axiom,
( ~ k1(b)
| m2(b) ),
file('SYN109-1.p',unknown),
[] ).
cnf(176,axiom,
( ~ p1(u,v,w)
| n2(w) ),
file('SYN109-1.p',unknown),
[] ).
cnf(225,axiom,
( ~ l1(u,v)
| q2(v,v,u) ),
file('SYN109-1.p',unknown),
[] ).
cnf(228,axiom,
( ~ s1(b)
| ~ q2(b,u,b)
| s2(u) ),
file('SYN109-1.p',unknown),
[] ).
cnf(283,axiom,
( ~ n2(u)
| p3(u,u,u) ),
file('SYN109-1.p',unknown),
[] ).
cnf(338,axiom,
( ~ l1(u,v)
| ~ p3(w,v,x)
| s4(u) ),
file('SYN109-1.p',unknown),
[] ).
cnf(403,plain,
q1(e,u,u),
inference(mrr,[status(thm)],[146,20]),
[iquote('0:MRR:146.0,146.1,20.0,20.0')] ).
cnf(419,plain,
( ~ k1(u)
| ~ k2(u,c)
| ~ m1(v,c,b) ),
inference(res,[status(thm),theory(equality)],[166,1]),
[iquote('0:Res:166.3,1.0')] ).
cnf(454,plain,
s1(b),
inference(res,[status(thm),theory(equality)],[15,164]),
[iquote('0:Res:15.0,164.0')] ).
cnf(455,plain,
( ~ q2(b,u,b)
| s2(u) ),
inference(mrr,[status(thm)],[228,454]),
[iquote('0:MRR:228.0,454.0')] ).
cnf(458,plain,
k1(c),
inference(res,[status(thm),theory(equality)],[27,40]),
[iquote('0:Res:27.0,40.0')] ).
cnf(460,plain,
k1(b),
inference(res,[status(thm),theory(equality)],[16,40]),
[iquote('0:Res:16.0,40.0')] ).
cnf(468,plain,
m2(b),
inference(mrr,[status(thm)],[175,460]),
[iquote('0:MRR:175.0,460.0')] ).
cnf(473,plain,
l1(c,c),
inference(res,[status(thm),theory(equality)],[27,41]),
[iquote('0:Res:27.0,41.0')] ).
cnf(475,plain,
l1(b,b),
inference(res,[status(thm),theory(equality)],[16,41]),
[iquote('0:Res:16.0,41.0')] ).
cnf(501,plain,
q2(b,b,b),
inference(res,[status(thm),theory(equality)],[475,225]),
[iquote('0:Res:475.0,225.0')] ).
cnf(503,plain,
s2(b),
inference(res,[status(thm),theory(equality)],[501,455]),
[iquote('0:Res:501.0,455.0')] ).
cnf(541,plain,
p1(u,u,u),
inference(res,[status(thm),theory(equality)],[15,124]),
[iquote('0:Res:15.0,124.0')] ).
cnf(546,plain,
n2(u),
inference(res,[status(thm),theory(equality)],[541,176]),
[iquote('0:Res:541.0,176.0')] ).
cnf(548,plain,
p3(u,u,u),
inference(mrr,[status(thm)],[283,546]),
[iquote('0:MRR:283.0,546.0')] ).
cnf(577,plain,
k2(u,u),
inference(res,[status(thm),theory(equality)],[403,168]),
[iquote('0:Res:403.0,168.0')] ).
cnf(707,plain,
( ~ s0(b)
| m1(b,u,b) ),
inference(res,[status(thm),theory(equality)],[15,68]),
[iquote('0:Res:15.0,68.1')] ).
cnf(708,plain,
m1(b,u,b),
inference(ssi,[status(thm)],[707,6,33,10,468,460,503]),
[iquote('0:SSi:707.0,6.0,33.0,10.0,468.0,460.0,503.0')] ).
cnf(733,plain,
( ~ l1(u,v)
| s4(u) ),
inference(res,[status(thm),theory(equality)],[548,338]),
[iquote('0:Res:548.0,338.1')] ).
cnf(734,plain,
s4(c),
inference(res,[status(thm),theory(equality)],[473,733]),
[iquote('0:Res:473.0,733.0')] ).
cnf(761,plain,
( ~ k1(u)
| ~ k2(u,c) ),
inference(res,[status(thm),theory(equality)],[708,419]),
[iquote('0:Res:708.0,419.2')] ).
cnf(771,plain,
~ k1(c),
inference(res,[status(thm),theory(equality)],[577,761]),
[iquote('0:Res:577.0,761.1')] ).
cnf(772,plain,
$false,
inference(ssi,[status(thm)],[771,25,458,734]),
[iquote('0:SSi:771.0,25.0,458.0,734.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN109-1 : TPTP v8.1.0. Released v1.1.0.
% 0.04/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n006.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 : Mon Jul 11 23:17:35 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49
% 0.19/0.49 SPASS V 3.9
% 0.19/0.49 SPASS beiseite: Proof found.
% 0.19/0.49 % SZS status Theorem
% 0.19/0.49 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.49 SPASS derived 306 clauses, backtracked 0 clauses, performed 0 splits and kept 511 clauses.
% 0.19/0.49 SPASS allocated 76240 KBytes.
% 0.19/0.49 SPASS spent 0:00:00.14 on the problem.
% 0.19/0.49 0:00:00.04 for the input.
% 0.19/0.49 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.49 0:00:00.00 for inferences.
% 0.19/0.49 0:00:00.00 for the backtracking.
% 0.19/0.49 0:00:00.05 for the reduction.
% 0.19/0.49
% 0.19/0.49
% 0.19/0.49 Here is a proof with depth 3, length 45 :
% 0.19/0.49 % SZS output start Refutation
% See solution above
% 0.19/0.49 Formulae used in the proof : prove_this axiom_5 axiom_9 axiom_14 axiom_15 axiom_19 axiom_24 axiom_26 axiom_32 rule_001 rule_002 rule_029 rule_085 rule_107 rule_125 rule_127 rule_129 rule_136 rule_137 rule_186 rule_189 rule_244 rule_299
% 0.19/0.49
%------------------------------------------------------------------------------