TSTP Solution File: SYN129-1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN129-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n017.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 12:18:54 EDT 2022
% Result : Unsatisfiable 0.37s 0.54s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 23
% Syntax : Number of clauses : 52 ( 25 unt; 0 nHn; 52 RR)
% Number of literals : 93 ( 0 equ; 50 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 19 ( 18 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,
~ l5(e),
file('SYN129-1.p',unknown),
[] ).
cnf(2,axiom,
s0(d),
file('SYN129-1.p',unknown),
[] ).
cnf(4,axiom,
n0(d,e),
file('SYN129-1.p',unknown),
[] ).
cnf(13,axiom,
m0(a,u,a),
file('SYN129-1.p',unknown),
[] ).
cnf(15,axiom,
p0(b,u),
file('SYN129-1.p',unknown),
[] ).
cnf(16,axiom,
n0(a,b),
file('SYN129-1.p',unknown),
[] ).
cnf(18,axiom,
q0(u,d),
file('SYN129-1.p',unknown),
[] ).
cnf(20,axiom,
m0(u,d,v),
file('SYN129-1.p',unknown),
[] ).
cnf(40,axiom,
( ~ n0(u,v)
| k1(v) ),
file('SYN129-1.p',unknown),
[] ).
cnf(121,axiom,
( ~ p1(u,v,w)
| ~ m0(u,v,w)
| p1(v,x,u) ),
file('SYN129-1.p',unknown),
[] ).
cnf(124,axiom,
( ~ p0(u,v)
| p1(v,v,v) ),
file('SYN129-1.p',unknown),
[] ).
cnf(160,axiom,
( ~ m0(u,v,w)
| q1(w,w,w) ),
file('SYN129-1.p',unknown),
[] ).
cnf(163,axiom,
( ~ q0(u,v)
| ~ s0(d)
| ~ q1(d,v,d)
| r1(u) ),
file('SYN129-1.p',unknown),
[] ).
cnf(175,axiom,
( ~ k1(b)
| m2(b) ),
file('SYN129-1.p',unknown),
[] ).
cnf(176,axiom,
( ~ p1(u,v,w)
| n2(w) ),
file('SYN129-1.p',unknown),
[] ).
cnf(220,axiom,
( ~ p1(u,u,u)
| q2(u,u,u) ),
file('SYN129-1.p',unknown),
[] ).
cnf(240,axiom,
( ~ m2(u)
| ~ m2(v)
| ~ p1(w,v,x)
| k3(x,x,w) ),
file('SYN129-1.p',unknown),
[] ).
cnf(275,axiom,
( ~ n2(u)
| m3(u,u,u) ),
file('SYN129-1.p',unknown),
[] ).
cnf(283,axiom,
( ~ n2(u)
| p3(u,u,u) ),
file('SYN129-1.p',unknown),
[] ).
cnf(316,axiom,
( ~ p3(u,v,w)
| l4(w) ),
file('SYN129-1.p',unknown),
[] ).
cnf(334,axiom,
( ~ m3(u,v,u)
| ~ q2(u,w,x)
| ~ k3(y,y,x)
| q4(x,w) ),
file('SYN129-1.p',unknown),
[] ).
cnf(335,axiom,
( ~ l4(u)
| ~ r1(v)
| ~ q4(u,w)
| q4(v,v) ),
file('SYN129-1.p',unknown),
[] ).
cnf(341,axiom,
( ~ k1(u)
| ~ q4(v,v)
| l5(u) ),
file('SYN129-1.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(406,plain,
( ~ m2(u)
| ~ p1(v,u,w)
| k3(w,w,v) ),
inference(con,[status(thm)],[240]),
[iquote('0:Con:240.0')] ).
cnf(419,plain,
( ~ k1(e)
| ~ q4(u,u) ),
inference(res,[status(thm),theory(equality)],[341,1]),
[iquote('0:Res:341.2,1.0')] ).
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,
~ q4(u,u),
inference(mrr,[status(thm)],[419,459]),
[iquote('0:MRR:419.0,459.0')] ).
cnf(469,plain,
m2(b),
inference(mrr,[status(thm)],[175,460]),
[iquote('0:MRR:175.0,460.0')] ).
cnf(472,plain,
( ~ l4(u)
| ~ r1(v)
| ~ q4(u,w) ),
inference(mrr,[status(thm)],[335,467]),
[iquote('0:MRR:335.3,467.0')] ).
cnf(484,plain,
( ~ n2(u)
| l4(u) ),
inference(res,[status(thm),theory(equality)],[283,316]),
[iquote('0:Res:283.1,316.0')] ).
cnf(544,plain,
p1(u,u,u),
inference(res,[status(thm),theory(equality)],[15,124]),
[iquote('0:Res:15.0,124.0')] ).
cnf(545,plain,
q2(u,u,u),
inference(mrr,[status(thm)],[220,544]),
[iquote('0:MRR:220.0,544.0')] ).
cnf(548,plain,
n2(u),
inference(res,[status(thm),theory(equality)],[544,176]),
[iquote('0:Res:544.0,176.0')] ).
cnf(551,plain,
m3(u,u,u),
inference(mrr,[status(thm)],[275,548]),
[iquote('0:MRR:275.0,548.0')] ).
cnf(553,plain,
l4(u),
inference(mrr,[status(thm)],[484,548]),
[iquote('0:MRR:484.0,548.0')] ).
cnf(561,plain,
( ~ r1(u)
| ~ q4(v,w) ),
inference(mrr,[status(thm)],[472,553]),
[iquote('0:MRR:472.0,553.0')] ).
cnf(654,plain,
q1(u,u,u),
inference(res,[status(thm),theory(equality)],[20,160]),
[iquote('0:Res:20.0,160.0')] ).
cnf(682,plain,
( ~ q0(u,d)
| r1(u) ),
inference(res,[status(thm),theory(equality)],[654,401]),
[iquote('0:Res:654.0,401.1')] ).
cnf(683,plain,
r1(u),
inference(mrr,[status(thm)],[682,18]),
[iquote('0:MRR:682.0,18.0')] ).
cnf(685,plain,
~ q4(u,v),
inference(mrr,[status(thm)],[561,683]),
[iquote('0:MRR:561.0,683.0')] ).
cnf(690,plain,
( ~ m3(u,v,u)
| ~ q2(u,w,x)
| ~ k3(y,y,x) ),
inference(mrr,[status(thm)],[334,685]),
[iquote('0:MRR:334.3,685.0')] ).
cnf(1264,plain,
( ~ m0(u,u,u)
| p1(u,v,u) ),
inference(res,[status(thm),theory(equality)],[544,121]),
[iquote('0:Res:544.0,121.0')] ).
cnf(1472,plain,
( ~ q2(u,v,w)
| ~ k3(x,x,w) ),
inference(res,[status(thm),theory(equality)],[551,690]),
[iquote('0:Res:551.0,690.0')] ).
cnf(1681,plain,
p1(a,u,a),
inference(res,[status(thm),theory(equality)],[13,1264]),
[iquote('0:Res:13.0,1264.0')] ).
cnf(1695,plain,
( ~ m0(a,u,a)
| p1(u,v,a) ),
inference(res,[status(thm),theory(equality)],[1681,121]),
[iquote('0:Res:1681.0,121.0')] ).
cnf(1697,plain,
p1(u,v,a),
inference(mrr,[status(thm)],[1695,13]),
[iquote('0:MRR:1695.0,13.0')] ).
cnf(1698,plain,
( ~ m2(u)
| k3(a,a,v) ),
inference(res,[status(thm),theory(equality)],[1697,406]),
[iquote('0:Res:1697.0,406.1')] ).
cnf(1702,plain,
k3(a,a,u),
inference(ems,[status(thm)],[1698,469]),
[iquote('0:EmS:1698.0,469.0')] ).
cnf(1791,plain,
~ k3(u,u,v),
inference(res,[status(thm),theory(equality)],[545,1472]),
[iquote('0:Res:545.0,1472.0')] ).
cnf(1796,plain,
$false,
inference(unc,[status(thm)],[1791,1702]),
[iquote('0:UnC:1791.0,1702.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SYN129-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n017.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 : Mon Jul 11 20:46:19 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.37/0.54
% 0.37/0.54 SPASS V 3.9
% 0.37/0.54 SPASS beiseite: Proof found.
% 0.37/0.54 % SZS status Theorem
% 0.37/0.54 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/0.54 SPASS derived 1239 clauses, backtracked 0 clauses, performed 0 splits and kept 940 clauses.
% 0.37/0.54 SPASS allocated 76859 KBytes.
% 0.37/0.54 SPASS spent 0:00:00.20 on the problem.
% 0.37/0.54 0:00:00.04 for the input.
% 0.37/0.54 0:00:00.00 for the FLOTTER CNF translation.
% 0.37/0.54 0:00:00.01 for inferences.
% 0.37/0.54 0:00:00.00 for the backtracking.
% 0.37/0.54 0:00:00.09 for the reduction.
% 0.37/0.54
% 0.37/0.54
% 0.37/0.54 Here is a proof with depth 6, length 52 :
% 0.37/0.54 % SZS output start Refutation
% See solution above
% 0.37/0.54 Formulae used in the proof : prove_this axiom_1 axiom_3 axiom_12 axiom_14 axiom_15 axiom_17 axiom_19 rule_001 rule_082 rule_085 rule_121 rule_124 rule_136 rule_137 rule_181 rule_201 rule_236 rule_244 rule_277 rule_295 rule_296 rule_302
% 0.37/0.54
%------------------------------------------------------------------------------