TSTP Solution File: SYN269-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN269-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n008.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 12:19:52 EDT 2022
% Result : Unsatisfiable 0.42s 0.60s
% Output : Refutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 36
% Syntax : Number of clauses : 78 ( 40 unt; 0 nHn; 78 RR)
% Number of literals : 133 ( 0 equ; 59 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 27 ( 26 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,
~ p4(b,a,a),
file('SYN269-1.p',unknown),
[] ).
cnf(2,axiom,
s0(d),
file('SYN269-1.p',unknown),
[] ).
cnf(4,axiom,
n0(d,e),
file('SYN269-1.p',unknown),
[] ).
cnf(6,axiom,
s0(b),
file('SYN269-1.p',unknown),
[] ).
cnf(10,axiom,
r0(b),
file('SYN269-1.p',unknown),
[] ).
cnf(15,axiom,
p0(b,u),
file('SYN269-1.p',unknown),
[] ).
cnf(16,axiom,
n0(a,b),
file('SYN269-1.p',unknown),
[] ).
cnf(18,axiom,
q0(u,d),
file('SYN269-1.p',unknown),
[] ).
cnf(20,axiom,
m0(u,d,v),
file('SYN269-1.p',unknown),
[] ).
cnf(21,axiom,
l0(a),
file('SYN269-1.p',unknown),
[] ).
cnf(33,axiom,
k0(b),
file('SYN269-1.p',unknown),
[] ).
cnf(38,axiom,
n0(b,a),
file('SYN269-1.p',unknown),
[] ).
cnf(40,axiom,
( ~ n0(u,v)
| k1(v) ),
file('SYN269-1.p',unknown),
[] ).
cnf(41,axiom,
( ~ n0(u,v)
| l1(v,v) ),
file('SYN269-1.p',unknown),
[] ).
cnf(124,axiom,
( ~ p0(u,v)
| p1(v,v,v) ),
file('SYN269-1.p',unknown),
[] ).
cnf(131,axiom,
( ~ p0(u,v)
| ~ n0(w,x)
| q1(v,x,v) ),
file('SYN269-1.p',unknown),
[] ).
cnf(160,axiom,
( ~ m0(u,v,w)
| q1(w,w,w) ),
file('SYN269-1.p',unknown),
[] ).
cnf(163,axiom,
( ~ q0(u,v)
| ~ s0(d)
| ~ q1(d,v,d)
| r1(u) ),
file('SYN269-1.p',unknown),
[] ).
cnf(164,axiom,
( ~ p0(u,u)
| s1(u) ),
file('SYN269-1.p',unknown),
[] ).
cnf(165,axiom,
( ~ s1(u)
| ~ q0(v,w)
| s1(v) ),
file('SYN269-1.p',unknown),
[] ).
cnf(175,axiom,
( ~ k1(b)
| m2(b) ),
file('SYN269-1.p',unknown),
[] ).
cnf(176,axiom,
( ~ p1(u,v,w)
| n2(w) ),
file('SYN269-1.p',unknown),
[] ).
cnf(180,axiom,
( ~ q1(u,a,u)
| p2(u,a,u) ),
file('SYN269-1.p',unknown),
[] ).
cnf(213,axiom,
( ~ n2(u)
| ~ k1(e)
| p2(u,u,u) ),
file('SYN269-1.p',unknown),
[] ).
cnf(225,axiom,
( ~ l1(u,v)
| q2(v,v,u) ),
file('SYN269-1.p',unknown),
[] ).
cnf(227,axiom,
( ~ l0(u)
| ~ r1(u)
| r2(u) ),
file('SYN269-1.p',unknown),
[] ).
cnf(228,axiom,
( ~ s1(b)
| ~ q2(b,u,b)
| s2(u) ),
file('SYN269-1.p',unknown),
[] ).
cnf(231,axiom,
( ~ s1(u)
| ~ n0(v,w)
| ~ p2(x,u,w)
| k3(v,u,v) ),
file('SYN269-1.p',unknown),
[] ).
cnf(249,axiom,
( ~ n2(u)
| k3(u,u,u) ),
file('SYN269-1.p',unknown),
[] ).
cnf(274,axiom,
( ~ r2(u)
| ~ k3(v,u,v)
| m3(v,v,u) ),
file('SYN269-1.p',unknown),
[] ).
cnf(283,axiom,
( ~ n2(u)
| p3(u,u,u) ),
file('SYN269-1.p',unknown),
[] ).
cnf(306,axiom,
( ~ p2(u,v,w)
| r3(u,w,u) ),
file('SYN269-1.p',unknown),
[] ).
cnf(307,axiom,
( ~ m2(u)
| ~ r3(u,v,v)
| ~ m3(w,b,x)
| r3(x,x,u) ),
file('SYN269-1.p',unknown),
[] ).
cnf(326,axiom,
( ~ k3(u,u,v)
| p4(u,v,u) ),
file('SYN269-1.p',unknown),
[] ).
cnf(327,axiom,
( ~ p4(u,u,v)
| ~ r3(w,w,x)
| p4(x,w,w) ),
file('SYN269-1.p',unknown),
[] ).
cnf(338,axiom,
( ~ l1(u,v)
| ~ p3(w,v,x)
| s4(u) ),
file('SYN269-1.p',unknown),
[] ).
cnf(401,plain,
( ~ q0(u,v)
| ~ q1(d,v,d)
| r1(u) ),
inference(mrr,[status(thm)],[163,2]),
[iquote('0:MRR:163.1,2.0')] ).
cnf(419,plain,
( ~ p4(u,u,v)
| ~ r3(a,a,b) ),
inference(res,[status(thm),theory(equality)],[327,1]),
[iquote('0:Res:327.2,1.0')] ).
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(459,plain,
k1(e),
inference(res,[status(thm),theory(equality)],[4,40]),
[iquote('0:Res:4.0,40.0')] ).
cnf(460,plain,
k1(b),
inference(res,[status(thm),theory(equality)],[16,40]),
[iquote('0:Res:16.0,40.0')] ).
cnf(467,plain,
( ~ n2(u)
| p2(u,u,u) ),
inference(mrr,[status(thm)],[213,459]),
[iquote('0:MRR:213.1,459.0')] ).
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(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(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(549,plain,
k3(u,u,u),
inference(mrr,[status(thm)],[249,545]),
[iquote('0:MRR:249.0,545.0')] ).
cnf(551,plain,
p2(u,u,u),
inference(mrr,[status(thm)],[467,545]),
[iquote('0:MRR:467.0,545.0')] ).
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(617,plain,
( ~ n0(u,v)
| ~ p2(w,x,v)
| k3(u,x,u) ),
inference(mrr,[status(thm)],[231,608]),
[iquote('0:MRR:231.0,608.0')] ).
cnf(628,plain,
p4(u,u,u),
inference(res,[status(thm),theory(equality)],[549,326]),
[iquote('0:Res:549.0,326.0')] ).
cnf(640,plain,
r3(u,u,u),
inference(res,[status(thm),theory(equality)],[551,306]),
[iquote('0:Res:551.0,306.0')] ).
cnf(651,plain,
q1(u,u,u),
inference(res,[status(thm),theory(equality)],[20,160]),
[iquote('0:Res:20.0,160.0')] ).
cnf(665,plain,
~ r3(a,a,b),
inference(res,[status(thm),theory(equality)],[628,419]),
[iquote('0:Res:628.0,419.0')] ).
cnf(680,plain,
( ~ q0(u,d)
| r1(u) ),
inference(res,[status(thm),theory(equality)],[651,401]),
[iquote('0:Res:651.0,401.1')] ).
cnf(681,plain,
r1(u),
inference(mrr,[status(thm)],[680,18]),
[iquote('0:MRR:680.0,18.0')] ).
cnf(682,plain,
( ~ l0(u)
| r2(u) ),
inference(mrr,[status(thm)],[227,681]),
[iquote('0:MRR:227.1,681.0')] ).
cnf(734,plain,
( ~ l1(u,v)
| s4(u) ),
inference(res,[status(thm),theory(equality)],[547,338]),
[iquote('0:Res:547.0,338.1')] ).
cnf(736,plain,
s4(a),
inference(res,[status(thm),theory(equality)],[471,734]),
[iquote('0:Res:471.0,734.0')] ).
cnf(739,plain,
s4(b),
inference(res,[status(thm),theory(equality)],[475,734]),
[iquote('0:Res:475.0,734.0')] ).
cnf(954,plain,
( ~ n0(u,v)
| q1(w,v,w) ),
inference(res,[status(thm),theory(equality)],[15,131]),
[iquote('0:Res:15.0,131.0')] ).
cnf(955,plain,
q1(u,a,u),
inference(res,[status(thm),theory(equality)],[38,954]),
[iquote('0:Res:38.0,954.0')] ).
cnf(963,plain,
p2(u,a,u),
inference(mrr,[status(thm)],[180,955]),
[iquote('0:MRR:180.0,955.0')] ).
cnf(1140,plain,
( ~ n0(u,v)
| k3(u,a,u) ),
inference(res,[status(thm),theory(equality)],[963,617]),
[iquote('0:Res:963.0,617.1')] ).
cnf(1183,plain,
k3(b,a,b),
inference(res,[status(thm),theory(equality)],[38,1140]),
[iquote('0:Res:38.0,1140.0')] ).
cnf(1191,plain,
( ~ r2(a)
| m3(b,b,a) ),
inference(res,[status(thm),theory(equality)],[1183,274]),
[iquote('0:Res:1183.0,274.1')] ).
cnf(1193,plain,
m3(b,b,a),
inference(ssi,[status(thm)],[1191,682,21,456,736]),
[iquote('0:SSi:1191.0,682.0,21.0,456.0,736.1')] ).
cnf(1560,plain,
( ~ m2(u)
| ~ m3(v,b,w)
| r3(w,w,u) ),
inference(res,[status(thm),theory(equality)],[640,307]),
[iquote('0:Res:640.0,307.1')] ).
cnf(2392,plain,
( ~ m2(u)
| r3(a,a,u) ),
inference(res,[status(thm),theory(equality)],[1193,1560]),
[iquote('0:Res:1193.0,1560.1')] ).
cnf(2405,plain,
~ m2(b),
inference(res,[status(thm),theory(equality)],[2392,665]),
[iquote('0:Res:2392.1,665.0')] ).
cnf(2408,plain,
$false,
inference(ssi,[status(thm)],[2405,6,33,10,468,460,503,739]),
[iquote('0:SSi:2405.0,6.0,33.0,10.0,468.0,460.0,503.0,739.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN269-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n008.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 04:08:53 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.42/0.60
% 0.42/0.60 SPASS V 3.9
% 0.42/0.60 SPASS beiseite: Proof found.
% 0.42/0.60 % SZS status Theorem
% 0.42/0.60 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/0.60 SPASS derived 1783 clauses, backtracked 0 clauses, performed 0 splits and kept 1160 clauses.
% 0.42/0.60 SPASS allocated 77177 KBytes.
% 0.42/0.60 SPASS spent 0:00:00.24 on the problem.
% 0.42/0.60 0:00:00.04 for the input.
% 0.42/0.60 0:00:00.00 for the FLOTTER CNF translation.
% 0.42/0.60 0:00:00.02 for inferences.
% 0.42/0.60 0:00:00.00 for the backtracking.
% 0.42/0.60 0:00:00.12 for the reduction.
% 0.42/0.60
% 0.42/0.60
% 0.42/0.60 Here is a proof with depth 5, length 78 :
% 0.42/0.60 % SZS output start Refutation
% See solution above
% 0.42/0.60 Formulae used in the proof : prove_this axiom_1 axiom_3 axiom_5 axiom_9 axiom_14 axiom_15 axiom_17 axiom_19 axiom_20 axiom_32 axiom_37 rule_001 rule_002 rule_085 rule_092 rule_121 rule_124 rule_125 rule_126 rule_136 rule_137 rule_141 rule_174 rule_186 rule_188 rule_189 rule_192 rule_210 rule_235 rule_244 rule_267 rule_268 rule_287 rule_288 rule_299
% 0.42/0.60
%------------------------------------------------------------------------------