TSTP Solution File: SYN207-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN207-1 : TPTP v8.1.0. Released v1.1.0.
% 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 : Thu Jul 21 12:19:27 EDT 2022
% Result : Unsatisfiable 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 26
% Syntax : Number of clauses : 55 ( 27 unt; 0 nHn; 55 RR)
% Number of literals : 98 ( 0 equ; 47 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,
~ s3(c,c),
file('SYN207-1.p',unknown),
[] ).
cnf(6,axiom,
s0(b),
file('SYN207-1.p',unknown),
[] ).
cnf(10,axiom,
r0(b),
file('SYN207-1.p',unknown),
[] ).
cnf(12,axiom,
n0(e,b),
file('SYN207-1.p',unknown),
[] ).
cnf(15,axiom,
p0(b,u),
file('SYN207-1.p',unknown),
[] ).
cnf(16,axiom,
n0(a,b),
file('SYN207-1.p',unknown),
[] ).
cnf(18,axiom,
q0(u,d),
file('SYN207-1.p',unknown),
[] ).
cnf(20,axiom,
m0(u,d,v),
file('SYN207-1.p',unknown),
[] ).
cnf(25,axiom,
l0(c),
file('SYN207-1.p',unknown),
[] ).
cnf(33,axiom,
k0(b),
file('SYN207-1.p',unknown),
[] ).
cnf(40,axiom,
( ~ n0(u,v)
| k1(v) ),
file('SYN207-1.p',unknown),
[] ).
cnf(41,axiom,
( ~ n0(u,v)
| l1(v,v) ),
file('SYN207-1.p',unknown),
[] ).
cnf(124,axiom,
( ~ p0(u,v)
| p1(v,v,v) ),
file('SYN207-1.p',unknown),
[] ).
cnf(164,axiom,
( ~ p0(u,u)
| s1(u) ),
file('SYN207-1.p',unknown),
[] ).
cnf(165,axiom,
( ~ s1(u)
| ~ q0(v,w)
| s1(v) ),
file('SYN207-1.p',unknown),
[] ).
cnf(170,axiom,
( ~ s1(u)
| ~ l2(v,v)
| ~ n0(e,v)
| l2(u,v) ),
file('SYN207-1.p',unknown),
[] ).
cnf(172,axiom,
( ~ s1(u)
| ~ p0(v,v)
| ~ m0(w,u,x)
| l2(x,x) ),
file('SYN207-1.p',unknown),
[] ).
cnf(175,axiom,
( ~ k1(b)
| m2(b) ),
file('SYN207-1.p',unknown),
[] ).
cnf(176,axiom,
( ~ p1(u,v,w)
| n2(w) ),
file('SYN207-1.p',unknown),
[] ).
cnf(220,axiom,
( ~ p1(u,u,u)
| q2(u,u,u) ),
file('SYN207-1.p',unknown),
[] ).
cnf(222,axiom,
( ~ k1(u)
| ~ l0(c)
| ~ l2(u,v)
| q2(v,c,u) ),
file('SYN207-1.p',unknown),
[] ).
cnf(225,axiom,
( ~ l1(u,v)
| q2(v,v,u) ),
file('SYN207-1.p',unknown),
[] ).
cnf(228,axiom,
( ~ s1(b)
| ~ q2(b,u,b)
| s2(u) ),
file('SYN207-1.p',unknown),
[] ).
cnf(283,axiom,
( ~ n2(u)
| p3(u,u,u) ),
file('SYN207-1.p',unknown),
[] ).
cnf(312,axiom,
( ~ s2(u)
| ~ m0(v,w,x)
| ~ q2(v,u,v)
| s3(u,x) ),
file('SYN207-1.p',unknown),
[] ).
cnf(338,axiom,
( ~ l1(u,v)
| ~ p3(w,v,x)
| s4(u) ),
file('SYN207-1.p',unknown),
[] ).
cnf(400,plain,
( ~ k1(u)
| ~ l2(u,v)
| q2(v,c,u) ),
inference(mrr,[status(thm)],[222,25]),
[iquote('0:MRR:222.1,25.0')] ).
cnf(419,plain,
( ~ s2(c)
| ~ m0(u,v,c)
| ~ q2(u,c,u) ),
inference(res,[status(thm),theory(equality)],[312,1]),
[iquote('0:Res:312.3,1.0')] ).
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(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(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(542,plain,
q2(u,u,u),
inference(mrr,[status(thm)],[220,541]),
[iquote('0:MRR:220.0,541.0')] ).
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(614,plain,
( ~ l2(u,u)
| ~ n0(e,u)
| l2(v,u) ),
inference(mrr,[status(thm)],[170,608]),
[iquote('0:MRR:170.0,608.0')] ).
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(740,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(1000,plain,
l2(u,u),
inference(res,[status(thm),theory(equality)],[15,991]),
[iquote('0:Res:15.0,991.0')] ).
cnf(1003,plain,
( ~ n0(e,u)
| l2(v,u) ),
inference(mrr,[status(thm)],[614,1000]),
[iquote('0:MRR:614.0,1000.0')] ).
cnf(1008,plain,
l2(u,b),
inference(res,[status(thm),theory(equality)],[12,1003]),
[iquote('0:Res:12.0,1003.0')] ).
cnf(1011,plain,
( ~ k1(u)
| q2(b,c,u) ),
inference(res,[status(thm),theory(equality)],[1008,400]),
[iquote('0:Res:1008.0,400.1')] ).
cnf(1015,plain,
( ~ k1(b)
| s2(c) ),
inference(res,[status(thm),theory(equality)],[1011,455]),
[iquote('0:Res:1011.1,455.0')] ).
cnf(1018,plain,
s2(c),
inference(ssi,[status(thm)],[1015,6,33,10,468,460,503,740]),
[iquote('0:SSi:1015.0,6.0,33.0,10.0,468.0,460.0,503.0,740.0')] ).
cnf(1020,plain,
( ~ m0(u,v,c)
| ~ q2(u,c,u) ),
inference(mrr,[status(thm)],[419,1018]),
[iquote('0:MRR:419.0,1018.0')] ).
cnf(1081,plain,
~ q2(u,c,u),
inference(res,[status(thm),theory(equality)],[20,1020]),
[iquote('0:Res:20.0,1020.0')] ).
cnf(1082,plain,
$false,
inference(unc,[status(thm)],[1081,542]),
[iquote('0:UnC:1081.0,542.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SYN207-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.13/0.35 % Computer : n010.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue Jul 12 08:14:15 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.53
% 0.19/0.53 SPASS V 3.9
% 0.19/0.53 SPASS beiseite: Proof found.
% 0.19/0.53 % SZS status Theorem
% 0.19/0.53 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.53 SPASS derived 581 clauses, backtracked 0 clauses, performed 0 splits and kept 642 clauses.
% 0.19/0.53 SPASS allocated 76411 KBytes.
% 0.19/0.53 SPASS spent 0:00:00.17 on the problem.
% 0.19/0.53 0:00:00.04 for the input.
% 0.19/0.53 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.53 0:00:00.01 for inferences.
% 0.19/0.53 0:00:00.00 for the backtracking.
% 0.19/0.53 0:00:00.06 for the reduction.
% 0.19/0.53
% 0.19/0.53
% 0.19/0.53 Here is a proof with depth 3, length 55 :
% 0.19/0.53 % SZS output start Refutation
% See solution above
% 0.19/0.53 Formulae used in the proof : prove_this axiom_5 axiom_9 axiom_11 axiom_14 axiom_15 axiom_17 axiom_19 axiom_24 axiom_32 rule_001 rule_002 rule_085 rule_125 rule_126 rule_131 rule_133 rule_136 rule_137 rule_181 rule_183 rule_186 rule_189 rule_244 rule_273 rule_299
% 0.19/0.53
%------------------------------------------------------------------------------