TSTP Solution File: NLP252-1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NLP252-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n010.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 : Mon Jul 18 05:29:09 EDT 2022
% Result : Unsatisfiable 2.43s 2.62s
% Output : Refutation 2.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 25
% Syntax : Number of clauses : 47 ( 19 unt; 0 nHn; 47 RR)
% Number of literals : 449 ( 0 equ; 416 neg)
% Maximal clause size : 37 ( 9 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 1 prp; 0-4 aty)
% Number of functors : 24 ( 24 usr; 22 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ smoke(u,v)
| event(u,v) ),
file('NLP252-1.p',unknown),
[] ).
cnf(29,axiom,
( ~ vincent_forename(u,v)
| forename(u,v) ),
file('NLP252-1.p',unknown),
[] ).
cnf(30,axiom,
( ~ jules_forename(u,v)
| forename(u,v) ),
file('NLP252-1.p',unknown),
[] ).
cnf(52,axiom,
( ~ man(u,v)
| ~ accessible_world(u,w)
| man(w,v) ),
file('NLP252-1.p',unknown),
[] ).
cnf(72,axiom,
actual_world(skc8),
file('NLP252-1.p',unknown),
[] ).
cnf(73,axiom,
man(skc8,skc15),
file('NLP252-1.p',unknown),
[] ).
cnf(75,axiom,
vincent_forename(skc8,skc14),
file('NLP252-1.p',unknown),
[] ).
cnf(76,axiom,
event(skc8,skc13),
file('NLP252-1.p',unknown),
[] ).
cnf(77,axiom,
present(skc8,skc13),
file('NLP252-1.p',unknown),
[] ).
cnf(78,axiom,
think_believe_consider(skc8,skc13),
file('NLP252-1.p',unknown),
[] ).
cnf(79,axiom,
jules_forename(skc8,skc11),
file('NLP252-1.p',unknown),
[] ).
cnf(81,axiom,
man(skc8,skc10),
file('NLP252-1.p',unknown),
[] ).
cnf(82,axiom,
state(skc8,skc9),
file('NLP252-1.p',unknown),
[] ).
cnf(83,axiom,
accessible_world(skc8,skc12),
file('NLP252-1.p',unknown),
[] ).
cnf(84,axiom,
proposition(skc8,skc12),
file('NLP252-1.p',unknown),
[] ).
cnf(85,axiom,
of(skc8,skc14,skc15),
file('NLP252-1.p',unknown),
[] ).
cnf(86,axiom,
agent(skc8,skc13,skc15),
file('NLP252-1.p',unknown),
[] ).
cnf(87,axiom,
theme(skc8,skc13,skc12),
file('NLP252-1.p',unknown),
[] ).
cnf(88,axiom,
of(skc8,skc11,skc10),
file('NLP252-1.p',unknown),
[] ).
cnf(89,axiom,
be(skc8,skc9,skc10,skc10),
file('NLP252-1.p',unknown),
[] ).
cnf(90,axiom,
( ~ man(skc12,u)
| smoke(skc12,skf2(v)) ),
file('NLP252-1.p',unknown),
[] ).
cnf(91,axiom,
( ~ man(skc12,u)
| present(skc12,skf2(v)) ),
file('NLP252-1.p',unknown),
[] ).
cnf(93,axiom,
( ~ man(skc12,u)
| agent(skc12,skf2(u),u) ),
file('NLP252-1.p',unknown),
[] ).
cnf(94,axiom,
( ~ actual_world(u)
| ~ proposition(u,v)
| ~ theme(u,w,v)
| ~ event(u,w)
| ~ present(u,w)
| ~ think_believe_consider(u,w)
| ~ forename(u,x)
| ~ vincent_forename(u,x)
| ~ of(u,x,y)
| ~ man(u,y)
| ~ agent(u,w,y)
| ~ state(u,z)
| ~ smoke(x1,x2)
| ~ present(x1,x2)
| ~ agent(x1,x2,x3)
| ~ event(x1,x2)
| ~ be(u,z,x3,x3)
| ~ man(u,x3)
| ~ of(u,x4,x3)
| ~ jules_forename(u,x4)
| ~ forename(u,x4)
| ~ proposition(u,x1)
| ~ accessible_world(u,x1)
| ~ think_believe_consider(u,x5)
| ~ present(u,x5)
| ~ event(u,x5)
| ~ theme(u,x5,x1)
| ~ vincent_forename(u,x6)
| ~ forename(u,x6)
| ~ agent(u,x5,x7)
| ~ man(u,x7)
| ~ of(u,x6,x7)
| ~ accessible_world(u,v)
| man(v,skf4(v)) ),
file('NLP252-1.p',unknown),
[] ).
cnf(95,axiom,
( ~ actual_world(u)
| ~ present(v,w)
| ~ agent(v,w,skf4(v))
| ~ event(v,w)
| ~ accessible_world(u,v)
| ~ proposition(u,v)
| ~ theme(u,x,v)
| ~ event(u,x)
| ~ present(u,x)
| ~ think_believe_consider(u,x)
| ~ forename(u,y)
| ~ vincent_forename(u,y)
| ~ of(u,y,z)
| ~ man(u,z)
| ~ agent(u,x,z)
| ~ state(u,x1)
| ~ smoke(x2,x3)
| ~ present(x2,x3)
| ~ agent(x2,x3,x4)
| ~ event(x2,x3)
| ~ be(u,x1,x4,x4)
| ~ man(u,x4)
| ~ of(u,x5,x4)
| ~ jules_forename(u,x5)
| ~ forename(u,x5)
| ~ proposition(u,x2)
| ~ accessible_world(u,x2)
| ~ think_believe_consider(u,x6)
| ~ present(u,x6)
| ~ event(u,x6)
| ~ theme(u,x6,x2)
| ~ vincent_forename(u,x7)
| ~ forename(u,x7)
| ~ agent(u,x6,x8)
| ~ man(u,x8)
| ~ of(u,x7,x8)
| ~ smoke(v,w) ),
file('NLP252-1.p',unknown),
[] ).
cnf(96,plain,
( ~ actual_world(u)
| ~ accessible_world(u,v)
| ~ man(u,w)
| ~ vincent_forename(u,x)
| ~ event(u,y)
| ~ present(u,y)
| ~ think_believe_consider(u,y)
| ~ accessible_world(u,z)
| ~ proposition(u,z)
| ~ jules_forename(u,x1)
| ~ man(u,x2)
| ~ present(z,x3)
| ~ smoke(z,x3)
| ~ state(u,x4)
| ~ man(u,x5)
| ~ vincent_forename(u,x6)
| ~ think_believe_consider(u,x7)
| ~ present(u,x7)
| ~ event(u,x7)
| ~ proposition(u,v)
| ~ of(u,x,w)
| ~ agent(u,y,w)
| ~ theme(u,y,z)
| ~ of(u,x1,x2)
| ~ agent(z,x3,x2)
| ~ agent(u,x7,x5)
| ~ of(u,x6,x5)
| ~ theme(u,x7,v)
| ~ be(u,x4,x2,x2)
| man(v,skf4(v)) ),
inference(mrr,[status(thm)],[94,29,1,30]),
[iquote('0:MRR:94.6,94.15,94.20,94.28,29.1,1.1,30.1,29.1')] ).
cnf(97,plain,
( ~ actual_world(u)
| ~ smoke(v,w)
| ~ man(u,x)
| ~ vincent_forename(u,y)
| ~ event(u,z)
| ~ present(u,z)
| ~ think_believe_consider(u,z)
| ~ accessible_world(u,x1)
| ~ proposition(u,x1)
| ~ jules_forename(u,x2)
| ~ man(u,x3)
| ~ present(x1,x4)
| ~ smoke(x1,x4)
| ~ state(u,x5)
| ~ man(u,x6)
| ~ vincent_forename(u,x7)
| ~ think_believe_consider(u,x8)
| ~ present(u,x8)
| ~ event(u,x8)
| ~ proposition(u,v)
| ~ accessible_world(u,v)
| ~ present(v,w)
| ~ of(u,y,x)
| ~ agent(u,z,x)
| ~ theme(u,z,x1)
| ~ of(u,x2,x3)
| ~ agent(x1,x4,x3)
| ~ agent(u,x8,x6)
| ~ of(u,x7,x6)
| ~ theme(u,x8,v)
| ~ agent(v,w,skf4(v))
| ~ be(u,x5,x3,x3) ),
inference(mrr,[status(thm)],[95,1,29,30]),
[iquote('0:MRR:95.3,95.10,95.19,95.24,95.32,1.1,29.1,1.1,30.1,29.1')] ).
cnf(153,plain,
( ~ accessible_world(skc8,u)
| man(u,skc10) ),
inference(res,[status(thm),theory(equality)],[81,52]),
[iquote('0:Res:81.0,52.1')] ).
cnf(166,plain,
( ~ actual_world(skc8)
| ~ proposition(skc8,u)
| ~ theme(skc8,v,u)
| ~ event(skc8,v)
| ~ present(skc8,v)
| ~ think_believe_consider(skc8,v)
| ~ vincent_forename(skc8,w)
| ~ of(skc8,w,x)
| ~ man(skc8,x)
| ~ agent(skc8,v,x)
| ~ state(skc8,y)
| ~ smoke(z,x1)
| ~ present(z,x1)
| ~ agent(z,x1,x2)
| ~ be(skc8,y,x2,x2)
| ~ man(skc8,x2)
| ~ of(skc8,skc11,x2)
| ~ proposition(skc8,z)
| ~ accessible_world(skc8,z)
| ~ think_believe_consider(skc8,x3)
| ~ present(skc8,x3)
| ~ event(skc8,x3)
| ~ theme(skc8,x3,z)
| ~ vincent_forename(skc8,x4)
| ~ agent(skc8,x3,x5)
| ~ man(skc8,x5)
| ~ of(skc8,x4,x5)
| ~ accessible_world(skc8,u)
| man(u,skf4(u)) ),
inference(res,[status(thm),theory(equality)],[79,96]),
[iquote('0:Res:79.0,96.17')] ).
cnf(167,plain,
( ~ actual_world(skc8)
| ~ present(u,v)
| ~ agent(u,v,skf4(u))
| ~ accessible_world(skc8,u)
| ~ proposition(skc8,u)
| ~ theme(skc8,w,u)
| ~ event(skc8,w)
| ~ present(skc8,w)
| ~ think_believe_consider(skc8,w)
| ~ vincent_forename(skc8,x)
| ~ of(skc8,x,y)
| ~ man(skc8,y)
| ~ agent(skc8,w,y)
| ~ state(skc8,z)
| ~ smoke(x1,x2)
| ~ present(x1,x2)
| ~ agent(x1,x2,x3)
| ~ be(skc8,z,x3,x3)
| ~ man(skc8,x3)
| ~ of(skc8,skc11,x3)
| ~ proposition(skc8,x1)
| ~ accessible_world(skc8,x1)
| ~ think_believe_consider(skc8,x4)
| ~ present(skc8,x4)
| ~ event(skc8,x4)
| ~ theme(skc8,x4,x1)
| ~ vincent_forename(skc8,x5)
| ~ agent(skc8,x4,x6)
| ~ man(skc8,x6)
| ~ of(skc8,x5,x6)
| ~ smoke(u,v) ),
inference(res,[status(thm),theory(equality)],[79,97]),
[iquote('0:Res:79.0,97.20')] ).
cnf(199,plain,
( ~ present(u,v)
| ~ smoke(u,v)
| ~ accessible_world(skc8,w)
| ~ man(skc8,x)
| ~ vincent_forename(skc8,y)
| ~ event(skc8,z)
| ~ present(skc8,z)
| ~ think_believe_consider(skc8,z)
| ~ accessible_world(skc8,u)
| ~ proposition(skc8,u)
| ~ man(skc8,x1)
| ~ state(skc8,x2)
| ~ man(skc8,x3)
| ~ vincent_forename(skc8,x4)
| ~ think_believe_consider(skc8,x5)
| ~ present(skc8,x5)
| ~ event(skc8,x5)
| ~ proposition(skc8,w)
| ~ agent(u,v,x1)
| ~ of(skc8,y,x)
| ~ agent(skc8,z,x)
| ~ theme(skc8,z,u)
| ~ agent(skc8,x5,x3)
| ~ of(skc8,x4,x3)
| ~ theme(skc8,x5,w)
| ~ of(skc8,skc11,x1)
| ~ be(skc8,x2,x1,x1)
| man(w,skf4(w)) ),
inference(mrr,[status(thm)],[166,72]),
[iquote('0:MRR:166.0,72.0')] ).
cnf(210,plain,
( ~ smoke(u,v)
| ~ present(w,x)
| ~ smoke(w,x)
| ~ present(u,v)
| ~ man(skc8,y)
| ~ vincent_forename(skc8,z)
| ~ event(skc8,x1)
| ~ present(skc8,x1)
| ~ think_believe_consider(skc8,x1)
| ~ accessible_world(skc8,w)
| ~ proposition(skc8,w)
| ~ man(skc8,x2)
| ~ state(skc8,x3)
| ~ man(skc8,x4)
| ~ vincent_forename(skc8,x5)
| ~ think_believe_consider(skc8,x6)
| ~ present(skc8,x6)
| ~ event(skc8,x6)
| ~ proposition(skc8,u)
| ~ accessible_world(skc8,u)
| ~ agent(w,x,x2)
| ~ agent(u,v,skf4(u))
| ~ of(skc8,z,y)
| ~ agent(skc8,x1,y)
| ~ theme(skc8,x1,w)
| ~ agent(skc8,x6,x4)
| ~ of(skc8,x5,x4)
| ~ theme(skc8,x6,u)
| ~ of(skc8,skc11,x2)
| ~ be(skc8,x3,x2,x2) ),
inference(mrr,[status(thm)],[167,72]),
[iquote('0:MRR:167.0,72.0')] ).
cnf(218,plain,
( ~ accessible_world(skc8,skc12)
| smoke(skc12,skf2(u)) ),
inference(res,[status(thm),theory(equality)],[153,90]),
[iquote('0:Res:153.1,90.0')] ).
cnf(219,plain,
smoke(skc12,skf2(u)),
inference(mrr,[status(thm)],[218,83]),
[iquote('0:MRR:218.0,83.0')] ).
cnf(224,plain,
( ~ accessible_world(skc8,skc12)
| present(skc12,skf2(u)) ),
inference(res,[status(thm),theory(equality)],[153,91]),
[iquote('0:Res:153.1,91.0')] ).
cnf(225,plain,
present(skc12,skf2(u)),
inference(mrr,[status(thm)],[224,83]),
[iquote('0:MRR:224.0,83.0')] ).
cnf(1677,plain,
( ~ man(skc12,skf4(skc12))
| ~ smoke(skc12,skf2(skf4(skc12)))
| ~ present(u,v)
| ~ smoke(u,v)
| ~ present(skc12,skf2(skf4(skc12)))
| ~ man(skc8,w)
| ~ vincent_forename(skc8,x)
| ~ event(skc8,y)
| ~ present(skc8,y)
| ~ think_believe_consider(skc8,y)
| ~ accessible_world(skc8,u)
| ~ proposition(skc8,u)
| ~ man(skc8,z)
| ~ state(skc8,x1)
| ~ man(skc8,x2)
| ~ vincent_forename(skc8,x3)
| ~ think_believe_consider(skc8,x4)
| ~ present(skc8,x4)
| ~ event(skc8,x4)
| ~ proposition(skc8,skc12)
| ~ accessible_world(skc8,skc12)
| ~ agent(u,v,z)
| ~ of(skc8,x,w)
| ~ agent(skc8,y,w)
| ~ theme(skc8,y,u)
| ~ agent(skc8,x4,x2)
| ~ of(skc8,x3,x2)
| ~ theme(skc8,x4,skc12)
| ~ of(skc8,skc11,z)
| ~ be(skc8,x1,z,z) ),
inference(res,[status(thm),theory(equality)],[93,210]),
[iquote('0:Res:93.1,210.21')] ).
cnf(1681,plain,
( ~ present(u,v)
| ~ smoke(u,v)
| ~ man(skc8,w)
| ~ vincent_forename(skc8,x)
| ~ event(skc8,y)
| ~ present(skc8,y)
| ~ think_believe_consider(skc8,y)
| ~ accessible_world(skc8,u)
| ~ proposition(skc8,u)
| ~ man(skc8,z)
| ~ state(skc8,x1)
| ~ man(skc8,x2)
| ~ vincent_forename(skc8,x3)
| ~ think_believe_consider(skc8,x4)
| ~ present(skc8,x4)
| ~ event(skc8,x4)
| ~ agent(u,v,z)
| ~ of(skc8,x,w)
| ~ agent(skc8,y,w)
| ~ theme(skc8,y,u)
| ~ agent(skc8,x4,x2)
| ~ of(skc8,x3,x2)
| ~ theme(skc8,x4,skc12)
| ~ of(skc8,skc11,z)
| ~ be(skc8,x1,z,z) ),
inference(mrr,[status(thm)],[1677,199,219,225,84,83]),
[iquote('0:MRR:1677.0,1677.1,1677.4,1677.19,1677.20,199.27,219.0,225.0,84.0,83.0')] ).
cnf(3967,plain,
( ~ present(u,v)
| ~ smoke(u,v)
| ~ man(skc8,w)
| ~ vincent_forename(skc8,x)
| ~ event(skc8,y)
| ~ present(skc8,y)
| ~ think_believe_consider(skc8,y)
| ~ accessible_world(skc8,u)
| ~ proposition(skc8,u)
| ~ man(skc8,skc10)
| ~ state(skc8,skc9)
| ~ man(skc8,z)
| ~ vincent_forename(skc8,x1)
| ~ think_believe_consider(skc8,x2)
| ~ present(skc8,x2)
| ~ event(skc8,x2)
| ~ agent(u,v,skc10)
| ~ of(skc8,x,w)
| ~ agent(skc8,y,w)
| ~ theme(skc8,y,u)
| ~ agent(skc8,x2,z)
| ~ of(skc8,x1,z)
| ~ theme(skc8,x2,skc12)
| ~ of(skc8,skc11,skc10) ),
inference(res,[status(thm),theory(equality)],[89,1681]),
[iquote('0:Res:89.0,1681.24')] ).
cnf(3970,plain,
( ~ present(u,v)
| ~ smoke(u,v)
| ~ man(skc8,w)
| ~ vincent_forename(skc8,x)
| ~ event(skc8,y)
| ~ present(skc8,y)
| ~ think_believe_consider(skc8,y)
| ~ accessible_world(skc8,u)
| ~ proposition(skc8,u)
| ~ man(skc8,z)
| ~ vincent_forename(skc8,x1)
| ~ think_believe_consider(skc8,x2)
| ~ present(skc8,x2)
| ~ event(skc8,x2)
| ~ agent(u,v,skc10)
| ~ of(skc8,x,w)
| ~ agent(skc8,y,w)
| ~ theme(skc8,y,u)
| ~ agent(skc8,x2,z)
| ~ of(skc8,x1,z)
| ~ theme(skc8,x2,skc12) ),
inference(mrr,[status(thm)],[3967,81,82,88]),
[iquote('0:MRR:3967.9,3967.10,3967.23,81.0,82.0,88.0')] ).
cnf(6650,plain,
( ~ man(skc12,skc10)
| ~ present(skc12,skf2(skc10))
| ~ smoke(skc12,skf2(skc10))
| ~ man(skc8,u)
| ~ vincent_forename(skc8,v)
| ~ event(skc8,w)
| ~ present(skc8,w)
| ~ think_believe_consider(skc8,w)
| ~ accessible_world(skc8,skc12)
| ~ proposition(skc8,skc12)
| ~ man(skc8,x)
| ~ vincent_forename(skc8,y)
| ~ think_believe_consider(skc8,z)
| ~ present(skc8,z)
| ~ event(skc8,z)
| ~ of(skc8,v,u)
| ~ agent(skc8,w,u)
| ~ theme(skc8,w,skc12)
| ~ agent(skc8,z,x)
| ~ of(skc8,y,x)
| ~ theme(skc8,z,skc12) ),
inference(res,[status(thm),theory(equality)],[93,3970]),
[iquote('0:Res:93.1,3970.14')] ).
cnf(6655,plain,
( ~ man(skc12,skc10)
| ~ present(skc12,skf2(skc10))
| ~ smoke(skc12,skf2(skc10))
| ~ man(skc8,u)
| ~ vincent_forename(skc8,v)
| ~ event(skc8,w)
| ~ present(skc8,w)
| ~ think_believe_consider(skc8,w)
| ~ accessible_world(skc8,skc12)
| ~ proposition(skc8,skc12)
| ~ of(skc8,v,u)
| ~ agent(skc8,w,u)
| ~ theme(skc8,w,skc12) ),
inference(con,[status(thm)],[6650]),
[iquote('0:Con:6650.10')] ).
cnf(6656,plain,
( ~ man(skc8,u)
| ~ vincent_forename(skc8,v)
| ~ event(skc8,w)
| ~ present(skc8,w)
| ~ think_believe_consider(skc8,w)
| ~ of(skc8,v,u)
| ~ agent(skc8,w,u)
| ~ theme(skc8,w,skc12) ),
inference(mrr,[status(thm)],[6655,153,225,219,83,84]),
[iquote('0:MRR:6655.0,6655.1,6655.2,6655.8,6655.9,153.1,225.0,219.0,83.0,84.0')] ).
cnf(7425,plain,
( ~ man(skc8,skc15)
| ~ vincent_forename(skc8,skc14)
| ~ event(skc8,u)
| ~ present(skc8,u)
| ~ think_believe_consider(skc8,u)
| ~ agent(skc8,u,skc15)
| ~ theme(skc8,u,skc12) ),
inference(res,[status(thm),theory(equality)],[85,6656]),
[iquote('0:Res:85.0,6656.5')] ).
cnf(7430,plain,
( ~ event(skc8,u)
| ~ present(skc8,u)
| ~ think_believe_consider(skc8,u)
| ~ agent(skc8,u,skc15)
| ~ theme(skc8,u,skc12) ),
inference(mrr,[status(thm)],[7425,73,75]),
[iquote('0:MRR:7425.0,7425.1,73.0,75.0')] ).
cnf(7432,plain,
( ~ event(skc8,skc13)
| ~ present(skc8,skc13)
| ~ think_believe_consider(skc8,skc13)
| ~ theme(skc8,skc13,skc12) ),
inference(res,[status(thm),theory(equality)],[86,7430]),
[iquote('0:Res:86.0,7430.3')] ).
cnf(7436,plain,
$false,
inference(mrr,[status(thm)],[7432,76,77,78,87]),
[iquote('0:MRR:7432.0,7432.1,7432.2,7432.3,76.0,77.0,78.0,87.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NLP252-1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n010.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 : Fri Jul 1 05:07:18 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.43/2.62
% 2.43/2.62 SPASS V 3.9
% 2.43/2.62 SPASS beiseite: Proof found.
% 2.43/2.62 % SZS status Theorem
% 2.43/2.62 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.43/2.62 SPASS derived 6637 clauses, backtracked 0 clauses, performed 0 splits and kept 1905 clauses.
% 2.43/2.62 SPASS allocated 81898 KBytes.
% 2.43/2.62 SPASS spent 0:00:02.27 on the problem.
% 2.43/2.62 0:00:00.04 for the input.
% 2.43/2.62 0:00:00.00 for the FLOTTER CNF translation.
% 2.43/2.62 0:00:00.16 for inferences.
% 2.43/2.62 0:00:00.00 for the backtracking.
% 2.43/2.62 0:00:01.82 for the reduction.
% 2.43/2.62
% 2.43/2.62
% 2.43/2.62 Here is a proof with depth 6, length 47 :
% 2.43/2.62 % SZS output start Refutation
% See solution above
% 2.48/2.72 Formulae used in the proof : clause1 clause29 clause30 clause52 clause72 clause73 clause75 clause76 clause77 clause78 clause79 clause81 clause82 clause83 clause84 clause85 clause86 clause87 clause88 clause89 clause90 clause91 clause93 clause94 clause95
% 2.48/2.72
%------------------------------------------------------------------------------