TSTP Solution File: SYN115-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN115-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n028.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 12:18:48 EDT 2022
% Result : Unsatisfiable 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 35
% Syntax : Number of clauses : 71 ( 36 unt; 0 nHn; 71 RR)
% Number of literals : 125 ( 0 equ; 57 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 25 ( 24 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,
~ k4(c),
file('SYN115-1.p',unknown),
[] ).
cnf(2,axiom,
s0(d),
file('SYN115-1.p',unknown),
[] ).
cnf(4,axiom,
n0(d,e),
file('SYN115-1.p',unknown),
[] ).
cnf(6,axiom,
s0(b),
file('SYN115-1.p',unknown),
[] ).
cnf(10,axiom,
r0(b),
file('SYN115-1.p',unknown),
[] ).
cnf(12,axiom,
n0(e,b),
file('SYN115-1.p',unknown),
[] ).
cnf(14,axiom,
r0(e),
file('SYN115-1.p',unknown),
[] ).
cnf(15,axiom,
p0(b,u),
file('SYN115-1.p',unknown),
[] ).
cnf(16,axiom,
n0(a,b),
file('SYN115-1.p',unknown),
[] ).
cnf(18,axiom,
q0(u,d),
file('SYN115-1.p',unknown),
[] ).
cnf(20,axiom,
m0(u,d,v),
file('SYN115-1.p',unknown),
[] ).
cnf(29,axiom,
k0(e),
file('SYN115-1.p',unknown),
[] ).
cnf(32,axiom,
m0(b,b,e),
file('SYN115-1.p',unknown),
[] ).
cnf(33,axiom,
k0(b),
file('SYN115-1.p',unknown),
[] ).
cnf(35,axiom,
n0(c,d),
file('SYN115-1.p',unknown),
[] ).
cnf(40,axiom,
( ~ n0(u,v)
| k1(v) ),
file('SYN115-1.p',unknown),
[] ).
cnf(41,axiom,
( ~ n0(u,v)
| l1(v,v) ),
file('SYN115-1.p',unknown),
[] ).
cnf(75,axiom,
( ~ m0(b,u,v)
| n1(v,v,u) ),
file('SYN115-1.p',unknown),
[] ).
cnf(124,axiom,
( ~ p0(u,v)
| p1(v,v,v) ),
file('SYN115-1.p',unknown),
[] ).
cnf(160,axiom,
( ~ m0(u,v,w)
| q1(w,w,w) ),
file('SYN115-1.p',unknown),
[] ).
cnf(163,axiom,
( ~ q0(u,v)
| ~ s0(d)
| ~ q1(d,v,d)
| r1(u) ),
file('SYN115-1.p',unknown),
[] ).
cnf(164,axiom,
( ~ p0(u,u)
| s1(u) ),
file('SYN115-1.p',unknown),
[] ).
cnf(175,axiom,
( ~ k1(b)
| m2(b) ),
file('SYN115-1.p',unknown),
[] ).
cnf(176,axiom,
( ~ p1(u,v,w)
| n2(w) ),
file('SYN115-1.p',unknown),
[] ).
cnf(213,axiom,
( ~ n2(u)
| ~ k1(e)
| p2(u,u,u) ),
file('SYN115-1.p',unknown),
[] ).
cnf(220,axiom,
( ~ p1(u,u,u)
| q2(u,u,u) ),
file('SYN115-1.p',unknown),
[] ).
cnf(225,axiom,
( ~ l1(u,v)
| q2(v,v,u) ),
file('SYN115-1.p',unknown),
[] ).
cnf(226,axiom,
( ~ k0(u)
| ~ r1(u)
| ~ q2(u,u,u)
| ~ m0(v,w,x)
| q2(x,u,x) ),
file('SYN115-1.p',unknown),
[] ).
cnf(228,axiom,
( ~ s1(b)
| ~ q2(b,u,b)
| s2(u) ),
file('SYN115-1.p',unknown),
[] ).
cnf(279,axiom,
( ~ p2(u,v,w)
| n3(w) ),
file('SYN115-1.p',unknown),
[] ).
cnf(283,axiom,
( ~ n2(u)
| p3(u,u,u) ),
file('SYN115-1.p',unknown),
[] ).
cnf(294,axiom,
( ~ n0(u,v)
| ~ q2(u,v,w)
| q3(v,w) ),
file('SYN115-1.p',unknown),
[] ).
cnf(296,axiom,
( ~ s2(u)
| ~ q3(v,u)
| ~ n1(w,u,v)
| q3(u,v) ),
file('SYN115-1.p',unknown),
[] ).
cnf(313,axiom,
( ~ n0(c,d)
| ~ q3(e,b)
| ~ n3(e)
| k4(c) ),
file('SYN115-1.p',unknown),
[] ).
cnf(338,axiom,
( ~ l1(u,v)
| ~ p3(w,v,x)
| s4(u) ),
file('SYN115-1.p',unknown),
[] ).
cnf(394,plain,
( ~ n3(e)
| ~ q3(e,b) ),
inference(mrr,[status(thm)],[313,35,1]),
[iquote('0:MRR:313.0,313.3,35.0,1.0')] ).
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(452,plain,
s1(b),
inference(res,[status(thm),theory(equality)],[15,164]),
[iquote('0:Res:15.0,164.0')] ).
cnf(453,plain,
( ~ q2(b,u,b)
| s2(u) ),
inference(mrr,[status(thm)],[228,452]),
[iquote('0:MRR:228.0,452.0')] ).
cnf(457,plain,
k1(e),
inference(res,[status(thm),theory(equality)],[4,40]),
[iquote('0:Res:4.0,40.0')] ).
cnf(458,plain,
k1(b),
inference(res,[status(thm),theory(equality)],[16,40]),
[iquote('0:Res:16.0,40.0')] ).
cnf(465,plain,
( ~ n2(u)
| p2(u,u,u) ),
inference(mrr,[status(thm)],[213,457]),
[iquote('0:MRR:213.1,457.0')] ).
cnf(466,plain,
m2(b),
inference(mrr,[status(thm)],[175,458]),
[iquote('0:MRR:175.0,458.0')] ).
cnf(472,plain,
l1(e,e),
inference(res,[status(thm),theory(equality)],[4,41]),
[iquote('0:Res:4.0,41.0')] ).
cnf(473,plain,
l1(b,b),
inference(res,[status(thm),theory(equality)],[16,41]),
[iquote('0:Res:16.0,41.0')] ).
cnf(489,plain,
( ~ n2(u)
| n3(u) ),
inference(res,[status(thm),theory(equality)],[465,279]),
[iquote('0:Res:465.1,279.0')] ).
cnf(499,plain,
q2(b,b,b),
inference(res,[status(thm),theory(equality)],[473,225]),
[iquote('0:Res:473.0,225.0')] ).
cnf(503,plain,
s2(b),
inference(res,[status(thm),theory(equality)],[499,453]),
[iquote('0:Res:499.0,453.0')] ).
cnf(539,plain,
p1(u,u,u),
inference(res,[status(thm),theory(equality)],[15,124]),
[iquote('0:Res:15.0,124.0')] ).
cnf(540,plain,
q2(u,u,u),
inference(mrr,[status(thm)],[220,539]),
[iquote('0:MRR:220.0,539.0')] ).
cnf(542,plain,
( ~ k0(u)
| ~ r1(u)
| ~ m0(v,w,x)
| q2(x,u,x) ),
inference(mrr,[status(thm)],[226,540]),
[iquote('0:MRR:226.2,540.0')] ).
cnf(543,plain,
n2(u),
inference(res,[status(thm),theory(equality)],[539,176]),
[iquote('0:Res:539.0,176.0')] ).
cnf(545,plain,
p3(u,u,u),
inference(mrr,[status(thm)],[283,543]),
[iquote('0:MRR:283.0,543.0')] ).
cnf(550,plain,
n3(u),
inference(mrr,[status(thm)],[489,543]),
[iquote('0:MRR:489.0,543.0')] ).
cnf(557,plain,
~ q3(e,b),
inference(mrr,[status(thm)],[394,550]),
[iquote('0:MRR:394.0,550.0')] ).
cnf(620,plain,
n1(e,e,b),
inference(res,[status(thm),theory(equality)],[32,75]),
[iquote('0:Res:32.0,75.0')] ).
cnf(649,plain,
q1(u,u,u),
inference(res,[status(thm),theory(equality)],[20,160]),
[iquote('0:Res:20.0,160.0')] ).
cnf(677,plain,
( ~ q0(u,d)
| r1(u) ),
inference(res,[status(thm),theory(equality)],[649,401]),
[iquote('0:Res:649.0,401.1')] ).
cnf(678,plain,
r1(u),
inference(mrr,[status(thm)],[677,18]),
[iquote('0:MRR:677.0,18.0')] ).
cnf(682,plain,
( ~ k0(u)
| ~ m0(v,w,x)
| q2(x,u,x) ),
inference(mrr,[status(thm)],[542,678]),
[iquote('0:MRR:542.1,678.0')] ).
cnf(731,plain,
( ~ l1(u,v)
| s4(u) ),
inference(res,[status(thm),theory(equality)],[545,338]),
[iquote('0:Res:545.0,338.1')] ).
cnf(735,plain,
s4(e),
inference(res,[status(thm),theory(equality)],[472,731]),
[iquote('0:Res:472.0,731.0')] ).
cnf(736,plain,
s4(b),
inference(res,[status(thm),theory(equality)],[473,731]),
[iquote('0:Res:473.0,731.0')] ).
cnf(997,plain,
( ~ k0(u)
| q2(v,u,v) ),
inference(res,[status(thm),theory(equality)],[20,682]),
[iquote('0:Res:20.0,682.1')] ).
cnf(1036,plain,
( ~ k0(u)
| s2(u) ),
inference(res,[status(thm),theory(equality)],[997,453]),
[iquote('0:Res:997.1,453.0')] ).
cnf(1037,plain,
( ~ k0(u)
| ~ n0(v,u)
| q3(u,v) ),
inference(res,[status(thm),theory(equality)],[997,294]),
[iquote('0:Res:997.1,294.1')] ).
cnf(1096,plain,
( ~ k0(b)
| q3(b,e) ),
inference(res,[status(thm),theory(equality)],[12,1037]),
[iquote('0:Res:12.0,1037.1')] ).
cnf(1101,plain,
q3(b,e),
inference(ssi,[status(thm)],[1096,6,33,10,466,458,503,736]),
[iquote('0:SSi:1096.0,6.0,33.0,10.0,466.0,458.0,503.0,736.0')] ).
cnf(1399,plain,
( ~ s2(e)
| ~ q3(b,e)
| q3(e,b) ),
inference(res,[status(thm),theory(equality)],[620,296]),
[iquote('0:Res:620.0,296.2')] ).
cnf(1416,plain,
( ~ q3(b,e)
| q3(e,b) ),
inference(ssi,[status(thm)],[1399,1036,29,14,457,735]),
[iquote('0:SSi:1399.0,1036.0,29.0,14.0,457.0,735.1')] ).
cnf(1417,plain,
$false,
inference(mrr,[status(thm)],[1416,1101,557]),
[iquote('0:MRR:1416.0,1416.1,1101.0,557.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SYN115-1 : TPTP v8.1.0. Released v1.1.0.
% 0.10/0.12 % Command : run_spass %d %s
% 0.12/0.32 % Computer : n028.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Mon Jul 11 16:27:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.50
% 0.18/0.50 SPASS V 3.9
% 0.18/0.50 SPASS beiseite: Proof found.
% 0.18/0.50 % SZS status Theorem
% 0.18/0.50 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.50 SPASS derived 888 clauses, backtracked 0 clauses, performed 0 splits and kept 768 clauses.
% 0.18/0.50 SPASS allocated 76627 KBytes.
% 0.18/0.50 SPASS spent 0:00:00.16 on the problem.
% 0.18/0.50 0:00:00.04 for the input.
% 0.18/0.50 0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.50 0:00:00.01 for inferences.
% 0.18/0.50 0:00:00.00 for the backtracking.
% 0.18/0.50 0:00:00.07 for the reduction.
% 0.18/0.50
% 0.18/0.50
% 0.18/0.50 Here is a proof with depth 3, length 71 :
% 0.18/0.50 % SZS output start Refutation
% See solution above
% 0.18/0.50 Formulae used in the proof : prove_this axiom_1 axiom_3 axiom_5 axiom_9 axiom_11 axiom_13 axiom_14 axiom_15 axiom_17 axiom_19 axiom_28 axiom_31 axiom_32 axiom_34 rule_001 rule_002 rule_036 rule_085 rule_121 rule_124 rule_125 rule_136 rule_137 rule_174 rule_181 rule_186 rule_187 rule_189 rule_240 rule_244 rule_255 rule_257 rule_274 rule_299
% 0.18/0.50
%------------------------------------------------------------------------------