TSTP Solution File: SYN254-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN254-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% 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 : 600s
% DateTime : Thu Jul 21 12:19:46 EDT 2022
% Result : Unsatisfiable 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 29
% Syntax : Number of clauses : 67 ( 31 unt; 0 nHn; 67 RR)
% Number of literals : 126 ( 0 equ; 63 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 23 ( 22 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ m4(e,b),
file('SYN254-1.p',unknown),
[] ).
cnf(6,axiom,
s0(b),
file('SYN254-1.p',unknown),
[] ).
cnf(10,axiom,
r0(b),
file('SYN254-1.p',unknown),
[] ).
cnf(15,axiom,
p0(b,u),
file('SYN254-1.p',unknown),
[] ).
cnf(16,axiom,
n0(a,b),
file('SYN254-1.p',unknown),
[] ).
cnf(18,axiom,
q0(u,d),
file('SYN254-1.p',unknown),
[] ).
cnf(20,axiom,
m0(u,d,v),
file('SYN254-1.p',unknown),
[] ).
cnf(21,axiom,
l0(a),
file('SYN254-1.p',unknown),
[] ).
cnf(33,axiom,
k0(b),
file('SYN254-1.p',unknown),
[] ).
cnf(38,axiom,
n0(b,a),
file('SYN254-1.p',unknown),
[] ).
cnf(40,axiom,
( ~ n0(u,v)
| k1(v) ),
file('SYN254-1.p',unknown),
[] ).
cnf(41,axiom,
( ~ n0(u,v)
| l1(v,v) ),
file('SYN254-1.p',unknown),
[] ).
cnf(89,axiom,
( ~ l0(u)
| ~ s0(b)
| ~ p0(b,v)
| n1(u,v,u) ),
file('SYN254-1.p',unknown),
[] ).
cnf(93,axiom,
( ~ l0(u)
| ~ l1(u,v)
| ~ n1(v,w,v)
| n1(v,w,w) ),
file('SYN254-1.p',unknown),
[] ).
cnf(124,axiom,
( ~ p0(u,v)
| p1(v,v,v) ),
file('SYN254-1.p',unknown),
[] ).
cnf(164,axiom,
( ~ p0(u,u)
| s1(u) ),
file('SYN254-1.p',unknown),
[] ).
cnf(165,axiom,
( ~ s1(u)
| ~ q0(v,w)
| s1(v) ),
file('SYN254-1.p',unknown),
[] ).
cnf(172,axiom,
( ~ s1(u)
| ~ p0(v,v)
| ~ m0(w,u,x)
| l2(x,x) ),
file('SYN254-1.p',unknown),
[] ).
cnf(175,axiom,
( ~ k1(b)
| m2(b) ),
file('SYN254-1.p',unknown),
[] ).
cnf(176,axiom,
( ~ p1(u,v,w)
| n2(w) ),
file('SYN254-1.p',unknown),
[] ).
cnf(216,axiom,
( ~ k0(u)
| ~ p1(v,v,v)
| q2(v,u,u) ),
file('SYN254-1.p',unknown),
[] ).
cnf(220,axiom,
( ~ p1(u,u,u)
| q2(u,u,u) ),
file('SYN254-1.p',unknown),
[] ).
cnf(221,axiom,
( ~ q2(u,v,w)
| ~ n1(u,w,v)
| ~ p1(w,w,v)
| q2(w,u,w) ),
file('SYN254-1.p',unknown),
[] ).
cnf(225,axiom,
( ~ l1(u,v)
| q2(v,v,u) ),
file('SYN254-1.p',unknown),
[] ).
cnf(228,axiom,
( ~ s1(b)
| ~ q2(b,u,b)
| s2(u) ),
file('SYN254-1.p',unknown),
[] ).
cnf(283,axiom,
( ~ n2(u)
| p3(u,u,u) ),
file('SYN254-1.p',unknown),
[] ).
cnf(312,axiom,
( ~ s2(u)
| ~ m0(v,w,x)
| ~ q2(v,u,v)
| s3(u,x) ),
file('SYN254-1.p',unknown),
[] ).
cnf(318,axiom,
( ~ l2(u,v)
| ~ s3(a,w)
| m4(w,v) ),
file('SYN254-1.p',unknown),
[] ).
cnf(338,axiom,
( ~ l1(u,v)
| ~ p3(w,v,x)
| s4(u) ),
file('SYN254-1.p',unknown),
[] ).
cnf(405,plain,
( ~ l0(u)
| n1(u,v,u) ),
inference(mrr,[status(thm)],[89,6,15]),
[iquote('0:MRR:89.1,89.2,6.0,15.0')] ).
cnf(419,plain,
( ~ l2(u,b)
| ~ s3(a,e) ),
inference(res,[status(thm),theory(equality)],[318,1]),
[iquote('0:Res:318.2,1.0')] ).
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(456,plain,
k1(a),
inference(res,[status(thm),theory(equality)],[38,40]),
[iquote('0:Res:38.0,40.0')] ).
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(471,plain,
l1(a,a),
inference(res,[status(thm),theory(equality)],[38,41]),
[iquote('0:Res:38.0,41.0')] ).
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(505,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(542,plain,
q2(u,u,u),
inference(mrr,[status(thm)],[220,541]),
[iquote('0:MRR:220.0,541.0')] ).
cnf(543,plain,
( ~ k0(u)
| q2(v,u,u) ),
inference(mrr,[status(thm)],[216,541]),
[iquote('0:MRR:216.1,541.0')] ).
cnf(545,plain,
n2(u),
inference(res,[status(thm),theory(equality)],[541,176]),
[iquote('0:Res:541.0,176.0')] ).
cnf(547,plain,
p3(u,u,u),
inference(mrr,[status(thm)],[283,545]),
[iquote('0:MRR:283.0,545.0')] ).
cnf(602,plain,
( ~ q0(u,v)
| s1(u) ),
inference(ems,[status(thm)],[165,454]),
[iquote('0:EmS:165.0,454.0')] ).
cnf(608,plain,
s1(u),
inference(res,[status(thm),theory(equality)],[18,602]),
[iquote('0:Res:18.0,602.0')] ).
cnf(615,plain,
( ~ p0(u,u)
| ~ m0(v,w,x)
| l2(x,x) ),
inference(mrr,[status(thm)],[172,608]),
[iquote('0:MRR:172.0,608.0')] ).
cnf(733,plain,
( ~ l1(u,v)
| s4(u) ),
inference(res,[status(thm),theory(equality)],[547,338]),
[iquote('0:Res:547.0,338.1')] ).
cnf(735,plain,
s4(a),
inference(res,[status(thm),theory(equality)],[471,733]),
[iquote('0:Res:471.0,733.0')] ).
cnf(738,plain,
s4(b),
inference(res,[status(thm),theory(equality)],[475,733]),
[iquote('0:Res:475.0,733.0')] ).
cnf(991,plain,
( ~ p0(u,u)
| l2(v,v) ),
inference(res,[status(thm),theory(equality)],[20,615]),
[iquote('0:Res:20.0,615.1')] ).
cnf(992,plain,
l2(u,u),
inference(res,[status(thm),theory(equality)],[15,991]),
[iquote('0:Res:15.0,991.0')] ).
cnf(997,plain,
~ s3(a,e),
inference(res,[status(thm),theory(equality)],[992,419]),
[iquote('0:Res:992.0,419.0')] ).
cnf(1532,plain,
( ~ l0(u)
| ~ l0(v)
| ~ l1(v,u)
| n1(u,w,w) ),
inference(res,[status(thm),theory(equality)],[405,93]),
[iquote('0:Res:405.1,93.2')] ).
cnf(1551,plain,
( ~ s2(u)
| ~ q2(v,u,v)
| s3(u,w) ),
inference(res,[status(thm),theory(equality)],[20,312]),
[iquote('0:Res:20.0,312.1')] ).
cnf(1733,plain,
( ~ k0(u)
| ~ n1(v,u,u)
| ~ p1(u,u,u)
| q2(u,v,u) ),
inference(res,[status(thm),theory(equality)],[543,221]),
[iquote('0:Res:543.1,221.0')] ).
cnf(1737,plain,
( ~ k0(u)
| ~ n1(v,u,u)
| q2(u,v,u) ),
inference(mrr,[status(thm)],[1733,541]),
[iquote('0:MRR:1733.2,541.0')] ).
cnf(1847,plain,
( ~ s2(u)
| s3(u,v) ),
inference(res,[status(thm),theory(equality)],[542,1551]),
[iquote('0:Res:542.0,1551.1')] ).
cnf(1852,plain,
~ s2(a),
inference(res,[status(thm),theory(equality)],[1847,997]),
[iquote('0:Res:1847.1,997.0')] ).
cnf(2007,plain,
( ~ l0(a)
| ~ l0(a)
| n1(a,u,u) ),
inference(res,[status(thm),theory(equality)],[471,1532]),
[iquote('0:Res:471.0,1532.2')] ).
cnf(2015,plain,
( ~ l0(a)
| n1(a,u,u) ),
inference(obv,[status(thm),theory(equality)],[2007]),
[iquote('0:Obv:2007.0')] ).
cnf(2016,plain,
n1(a,u,u),
inference(ssi,[status(thm)],[2015,21,456,735]),
[iquote('0:SSi:2015.0,21.0,456.0,735.0')] ).
cnf(2032,plain,
( ~ k0(u)
| q2(u,a,u) ),
inference(res,[status(thm),theory(equality)],[2016,1737]),
[iquote('0:Res:2016.0,1737.1')] ).
cnf(2047,plain,
( ~ k0(b)
| s2(a) ),
inference(res,[status(thm),theory(equality)],[2032,455]),
[iquote('0:Res:2032.1,455.0')] ).
cnf(2051,plain,
s2(a),
inference(ssi,[status(thm)],[2047,6,33,10,468,460,505,738]),
[iquote('0:SSi:2047.0,6.0,33.0,10.0,468.0,460.0,505.0,738.0')] ).
cnf(2052,plain,
$false,
inference(mrr,[status(thm)],[2051,1852]),
[iquote('0:MRR:2051.0,1852.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN254-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jul 12 05:50:33 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.55
% 0.20/0.55 SPASS V 3.9
% 0.20/0.55 SPASS beiseite: Proof found.
% 0.20/0.55 % SZS status Theorem
% 0.20/0.55 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.55 SPASS derived 1460 clauses, backtracked 0 clauses, performed 0 splits and kept 1032 clauses.
% 0.20/0.55 SPASS allocated 77005 KBytes.
% 0.20/0.55 SPASS spent 0:00:00.19 on the problem.
% 0.20/0.55 0:00:00.04 for the input.
% 0.20/0.55 0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.55 0:00:00.01 for inferences.
% 0.20/0.55 0:00:00.00 for the backtracking.
% 0.20/0.55 0:00:00.09 for the reduction.
% 0.20/0.55
% 0.20/0.55
% 0.20/0.55 Here is a proof with depth 4, length 67 :
% 0.20/0.55 % SZS output start Refutation
% See solution above
% 0.20/0.55 Formulae used in the proof : prove_this axiom_5 axiom_9 axiom_14 axiom_15 axiom_17 axiom_19 axiom_20 axiom_32 axiom_37 rule_001 rule_002 rule_050 rule_054 rule_085 rule_125 rule_126 rule_133 rule_136 rule_137 rule_177 rule_181 rule_182 rule_186 rule_189 rule_244 rule_273 rule_279 rule_299
% 0.20/0.55
%------------------------------------------------------------------------------