TSTP Solution File: SYN271-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN271-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n007.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 12:19:53 EDT 2022
% Result : Unsatisfiable 0.42s 0.60s
% Output : Refutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 34
% Syntax : Number of clauses : 77 ( 39 unt; 0 nHn; 77 RR)
% Number of literals : 133 ( 0 equ; 60 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 24 ( 23 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,
~ p4(d,u,a),
file('SYN271-1.p',unknown),
[] ).
cnf(2,axiom,
s0(d),
file('SYN271-1.p',unknown),
[] ).
cnf(4,axiom,
n0(d,e),
file('SYN271-1.p',unknown),
[] ).
cnf(15,axiom,
p0(b,u),
file('SYN271-1.p',unknown),
[] ).
cnf(18,axiom,
q0(u,d),
file('SYN271-1.p',unknown),
[] ).
cnf(20,axiom,
m0(u,d,v),
file('SYN271-1.p',unknown),
[] ).
cnf(21,axiom,
l0(a),
file('SYN271-1.p',unknown),
[] ).
cnf(27,axiom,
n0(d,c),
file('SYN271-1.p',unknown),
[] ).
cnf(35,axiom,
n0(c,d),
file('SYN271-1.p',unknown),
[] ).
cnf(37,axiom,
q0(a,b),
file('SYN271-1.p',unknown),
[] ).
cnf(38,axiom,
n0(b,a),
file('SYN271-1.p',unknown),
[] ).
cnf(40,axiom,
( ~ n0(u,v)
| k1(v) ),
file('SYN271-1.p',unknown),
[] ).
cnf(41,axiom,
( ~ n0(u,v)
| l1(v,v) ),
file('SYN271-1.p',unknown),
[] ).
cnf(124,axiom,
( ~ p0(u,v)
| p1(v,v,v) ),
file('SYN271-1.p',unknown),
[] ).
cnf(131,axiom,
( ~ p0(u,v)
| ~ n0(w,x)
| q1(v,x,v) ),
file('SYN271-1.p',unknown),
[] ).
cnf(160,axiom,
( ~ m0(u,v,w)
| q1(w,w,w) ),
file('SYN271-1.p',unknown),
[] ).
cnf(163,axiom,
( ~ q0(u,v)
| ~ s0(d)
| ~ q1(d,v,d)
| r1(u) ),
file('SYN271-1.p',unknown),
[] ).
cnf(164,axiom,
( ~ p0(u,u)
| s1(u) ),
file('SYN271-1.p',unknown),
[] ).
cnf(165,axiom,
( ~ s1(u)
| ~ q0(v,w)
| s1(v) ),
file('SYN271-1.p',unknown),
[] ).
cnf(174,axiom,
( ~ s0(u)
| ~ l1(v,w)
| m2(u) ),
file('SYN271-1.p',unknown),
[] ).
cnf(176,axiom,
( ~ p1(u,v,w)
| n2(w) ),
file('SYN271-1.p',unknown),
[] ).
cnf(180,axiom,
( ~ q1(u,a,u)
| p2(u,a,u) ),
file('SYN271-1.p',unknown),
[] ).
cnf(213,axiom,
( ~ n2(u)
| ~ k1(e)
| p2(u,u,u) ),
file('SYN271-1.p',unknown),
[] ).
cnf(227,axiom,
( ~ l0(u)
| ~ r1(u)
| r2(u) ),
file('SYN271-1.p',unknown),
[] ).
cnf(229,axiom,
( ~ s1(a)
| ~ s0(d)
| s2(d) ),
file('SYN271-1.p',unknown),
[] ).
cnf(231,axiom,
( ~ s1(u)
| ~ n0(v,w)
| ~ p2(x,u,w)
| k3(v,u,v) ),
file('SYN271-1.p',unknown),
[] ).
cnf(249,axiom,
( ~ n2(u)
| k3(u,u,u) ),
file('SYN271-1.p',unknown),
[] ).
cnf(274,axiom,
( ~ r2(u)
| ~ k3(v,u,v)
| m3(v,v,u) ),
file('SYN271-1.p',unknown),
[] ).
cnf(283,axiom,
( ~ n2(u)
| p3(u,u,u) ),
file('SYN271-1.p',unknown),
[] ).
cnf(306,axiom,
( ~ p2(u,v,w)
| r3(u,w,u) ),
file('SYN271-1.p',unknown),
[] ).
cnf(307,axiom,
( ~ m2(u)
| ~ r3(u,v,v)
| ~ m3(w,b,x)
| r3(x,x,u) ),
file('SYN271-1.p',unknown),
[] ).
cnf(326,axiom,
( ~ k3(u,u,v)
| p4(u,v,u) ),
file('SYN271-1.p',unknown),
[] ).
cnf(327,axiom,
( ~ p4(u,u,v)
| ~ r3(w,w,x)
| p4(x,w,w) ),
file('SYN271-1.p',unknown),
[] ).
cnf(338,axiom,
( ~ l1(u,v)
| ~ p3(w,v,x)
| s4(u) ),
file('SYN271-1.p',unknown),
[] ).
cnf(375,plain,
( ~ s1(a)
| s2(d) ),
inference(mrr,[status(thm)],[229,2]),
[iquote('0:MRR:229.1,2.0')] ).
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(420,plain,
( ~ p4(u,u,v)
| ~ r3(a,a,d) ),
inference(res,[status(thm),theory(equality)],[327,1]),
[iquote('0:Res:327.2,1.0')] ).
cnf(455,plain,
s1(b),
inference(res,[status(thm),theory(equality)],[15,164]),
[iquote('0:Res:15.0,164.0')] ).
cnf(457,plain,
k1(a),
inference(res,[status(thm),theory(equality)],[38,40]),
[iquote('0:Res:38.0,40.0')] ).
cnf(458,plain,
k1(d),
inference(res,[status(thm),theory(equality)],[35,40]),
[iquote('0:Res:35.0,40.0')] ).
cnf(460,plain,
k1(e),
inference(res,[status(thm),theory(equality)],[4,40]),
[iquote('0:Res:4.0,40.0')] ).
cnf(468,plain,
( ~ n2(u)
| p2(u,u,u) ),
inference(mrr,[status(thm)],[213,460]),
[iquote('0:MRR:213.1,460.0')] ).
cnf(472,plain,
l1(a,a),
inference(res,[status(thm),theory(equality)],[38,41]),
[iquote('0:Res:38.0,41.0')] ).
cnf(473,plain,
l1(d,d),
inference(res,[status(thm),theory(equality)],[35,41]),
[iquote('0:Res:35.0,41.0')] ).
cnf(474,plain,
l1(c,c),
inference(res,[status(thm),theory(equality)],[27,41]),
[iquote('0:Res:27.0,41.0')] ).
cnf(542,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)],[542,176]),
[iquote('0:Res:542.0,176.0')] ).
cnf(548,plain,
p3(u,u,u),
inference(mrr,[status(thm)],[283,546]),
[iquote('0:MRR:283.0,546.0')] ).
cnf(550,plain,
k3(u,u,u),
inference(mrr,[status(thm)],[249,546]),
[iquote('0:MRR:249.0,546.0')] ).
cnf(552,plain,
p2(u,u,u),
inference(mrr,[status(thm)],[468,546]),
[iquote('0:MRR:468.0,546.0')] ).
cnf(598,plain,
( ~ s0(u)
| m2(u) ),
inference(res,[status(thm),theory(equality)],[474,174]),
[iquote('0:Res:474.0,174.1')] ).
cnf(603,plain,
( ~ q0(u,v)
| s1(u) ),
inference(ems,[status(thm)],[165,455]),
[iquote('0:EmS:165.0,455.0')] ).
cnf(604,plain,
s1(a),
inference(res,[status(thm),theory(equality)],[37,603]),
[iquote('0:Res:37.0,603.0')] ).
cnf(609,plain,
s1(u),
inference(res,[status(thm),theory(equality)],[18,603]),
[iquote('0:Res:18.0,603.0')] ).
cnf(610,plain,
s2(d),
inference(mrr,[status(thm)],[375,604]),
[iquote('0:MRR:375.0,604.0')] ).
cnf(618,plain,
( ~ n0(u,v)
| ~ p2(w,x,v)
| k3(u,x,u) ),
inference(mrr,[status(thm)],[231,609]),
[iquote('0:MRR:231.0,609.0')] ).
cnf(629,plain,
p4(u,u,u),
inference(res,[status(thm),theory(equality)],[550,326]),
[iquote('0:Res:550.0,326.0')] ).
cnf(642,plain,
r3(u,u,u),
inference(res,[status(thm),theory(equality)],[552,306]),
[iquote('0:Res:552.0,306.0')] ).
cnf(652,plain,
q1(u,u,u),
inference(res,[status(thm),theory(equality)],[20,160]),
[iquote('0:Res:20.0,160.0')] ).
cnf(666,plain,
~ r3(a,a,d),
inference(res,[status(thm),theory(equality)],[629,420]),
[iquote('0:Res:629.0,420.0')] ).
cnf(681,plain,
( ~ q0(u,d)
| r1(u) ),
inference(res,[status(thm),theory(equality)],[652,401]),
[iquote('0:Res:652.0,401.1')] ).
cnf(682,plain,
r1(u),
inference(mrr,[status(thm)],[681,18]),
[iquote('0:MRR:681.0,18.0')] ).
cnf(683,plain,
( ~ l0(u)
| r2(u) ),
inference(mrr,[status(thm)],[227,682]),
[iquote('0:MRR:227.1,682.0')] ).
cnf(735,plain,
( ~ l1(u,v)
| s4(u) ),
inference(res,[status(thm),theory(equality)],[548,338]),
[iquote('0:Res:548.0,338.1')] ).
cnf(737,plain,
s4(a),
inference(res,[status(thm),theory(equality)],[472,735]),
[iquote('0:Res:472.0,735.0')] ).
cnf(738,plain,
s4(d),
inference(res,[status(thm),theory(equality)],[473,735]),
[iquote('0:Res:473.0,735.0')] ).
cnf(953,plain,
( ~ n0(u,v)
| q1(w,v,w) ),
inference(res,[status(thm),theory(equality)],[15,131]),
[iquote('0:Res:15.0,131.0')] ).
cnf(956,plain,
q1(u,a,u),
inference(res,[status(thm),theory(equality)],[38,953]),
[iquote('0:Res:38.0,953.0')] ).
cnf(964,plain,
p2(u,a,u),
inference(mrr,[status(thm)],[180,956]),
[iquote('0:MRR:180.0,956.0')] ).
cnf(1145,plain,
( ~ n0(u,v)
| k3(u,a,u) ),
inference(res,[status(thm),theory(equality)],[964,618]),
[iquote('0:Res:964.0,618.1')] ).
cnf(1180,plain,
k3(b,a,b),
inference(res,[status(thm),theory(equality)],[38,1145]),
[iquote('0:Res:38.0,1145.0')] ).
cnf(1188,plain,
( ~ r2(a)
| m3(b,b,a) ),
inference(res,[status(thm),theory(equality)],[1180,274]),
[iquote('0:Res:1180.0,274.1')] ).
cnf(1190,plain,
m3(b,b,a),
inference(ssi,[status(thm)],[1188,683,21,457,737]),
[iquote('0:SSi:1188.0,683.0,21.0,457.0,737.1')] ).
cnf(1568,plain,
( ~ m2(u)
| ~ m3(v,b,w)
| r3(w,w,u) ),
inference(res,[status(thm),theory(equality)],[642,307]),
[iquote('0:Res:642.0,307.1')] ).
cnf(2387,plain,
( ~ m2(u)
| r3(a,a,u) ),
inference(res,[status(thm),theory(equality)],[1190,1568]),
[iquote('0:Res:1190.0,1568.1')] ).
cnf(2398,plain,
~ m2(d),
inference(res,[status(thm),theory(equality)],[2387,666]),
[iquote('0:Res:2387.1,666.0')] ).
cnf(2401,plain,
$false,
inference(ssi,[status(thm)],[2398,598,2,458,610,738]),
[iquote('0:SSi:2398.0,598.0,2.0,458.0,610.0,738.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN271-1 : TPTP v8.1.0. Released v1.1.0.
% 0.13/0.13 % Command : run_spass %d %s
% 0.14/0.34 % Computer : n007.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Tue Jul 12 04:14:18 EDT 2022
% 0.14/0.35 % 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 1775 clauses, backtracked 0 clauses, performed 0 splits and kept 1157 clauses.
% 0.42/0.60 SPASS allocated 77174 KBytes.
% 0.42/0.60 SPASS spent 0:00:00.23 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 77 :
% 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_14 axiom_17 axiom_19 axiom_20 axiom_26 axiom_34 axiom_36 axiom_37 rule_001 rule_002 rule_085 rule_092 rule_121 rule_124 rule_125 rule_126 rule_135 rule_137 rule_141 rule_174 rule_188 rule_190 rule_192 rule_210 rule_235 rule_244 rule_267 rule_268 rule_287 rule_288 rule_299
% 0.42/0.60
%------------------------------------------------------------------------------