TSTP Solution File: SYN181-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN181-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n024.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 12:19:16 EDT 2022
% Result : Unsatisfiable 0.37s 0.55s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 28
% Syntax : Number of clauses : 63 ( 31 unt; 0 nHn; 63 RR)
% Number of literals : 113 ( 0 equ; 55 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 23 ( 22 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ q4(d,b),
file('SYN181-1.p',unknown),
[] ).
cnf(2,axiom,
s0(d),
file('SYN181-1.p',unknown),
[] ).
cnf(6,axiom,
s0(b),
file('SYN181-1.p',unknown),
[] ).
cnf(10,axiom,
r0(b),
file('SYN181-1.p',unknown),
[] ).
cnf(13,axiom,
m0(a,u,a),
file('SYN181-1.p',unknown),
[] ).
cnf(15,axiom,
p0(b,u),
file('SYN181-1.p',unknown),
[] ).
cnf(16,axiom,
n0(a,b),
file('SYN181-1.p',unknown),
[] ).
cnf(18,axiom,
q0(u,d),
file('SYN181-1.p',unknown),
[] ).
cnf(20,axiom,
m0(u,d,v),
file('SYN181-1.p',unknown),
[] ).
cnf(33,axiom,
k0(b),
file('SYN181-1.p',unknown),
[] ).
cnf(40,axiom,
( ~ n0(u,v)
| k1(v) ),
file('SYN181-1.p',unknown),
[] ).
cnf(41,axiom,
( ~ n0(u,v)
| l1(v,v) ),
file('SYN181-1.p',unknown),
[] ).
cnf(121,axiom,
( ~ p1(u,v,w)
| ~ m0(u,v,w)
| p1(v,x,u) ),
file('SYN181-1.p',unknown),
[] ).
cnf(124,axiom,
( ~ p0(u,v)
| p1(v,v,v) ),
file('SYN181-1.p',unknown),
[] ).
cnf(160,axiom,
( ~ m0(u,v,w)
| q1(w,w,w) ),
file('SYN181-1.p',unknown),
[] ).
cnf(163,axiom,
( ~ q0(u,v)
| ~ s0(d)
| ~ q1(d,v,d)
| r1(u) ),
file('SYN181-1.p',unknown),
[] ).
cnf(164,axiom,
( ~ p0(u,u)
| s1(u) ),
file('SYN181-1.p',unknown),
[] ).
cnf(175,axiom,
( ~ k1(b)
| m2(b) ),
file('SYN181-1.p',unknown),
[] ).
cnf(176,axiom,
( ~ p1(u,v,w)
| n2(w) ),
file('SYN181-1.p',unknown),
[] ).
cnf(220,axiom,
( ~ p1(u,u,u)
| q2(u,u,u) ),
file('SYN181-1.p',unknown),
[] ).
cnf(225,axiom,
( ~ l1(u,v)
| q2(v,v,u) ),
file('SYN181-1.p',unknown),
[] ).
cnf(226,axiom,
( ~ k0(u)
| ~ r1(u)
| ~ q2(u,u,u)
| ~ m0(v,w,x)
| q2(x,u,x) ),
file('SYN181-1.p',unknown),
[] ).
cnf(228,axiom,
( ~ s1(b)
| ~ q2(b,u,b)
| s2(u) ),
file('SYN181-1.p',unknown),
[] ).
cnf(240,axiom,
( ~ m2(u)
| ~ m2(v)
| ~ p1(w,v,x)
| k3(x,x,w) ),
file('SYN181-1.p',unknown),
[] ).
cnf(275,axiom,
( ~ n2(u)
| m3(u,u,u) ),
file('SYN181-1.p',unknown),
[] ).
cnf(283,axiom,
( ~ n2(u)
| p3(u,u,u) ),
file('SYN181-1.p',unknown),
[] ).
cnf(334,axiom,
( ~ m3(u,v,u)
| ~ q2(u,w,x)
| ~ k3(y,y,x)
| q4(x,w) ),
file('SYN181-1.p',unknown),
[] ).
cnf(338,axiom,
( ~ l1(u,v)
| ~ p3(w,v,x)
| s4(u) ),
file('SYN181-1.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,
( ~ m3(u,v,u)
| ~ k3(w,w,d)
| ~ q2(u,b,d) ),
inference(res,[status(thm),theory(equality)],[334,1]),
[iquote('0:Res:334.3,1.0')] ).
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(544,plain,
( ~ k0(u)
| ~ r1(u)
| ~ m0(v,w,x)
| q2(x,u,x) ),
inference(mrr,[status(thm)],[226,542]),
[iquote('0:MRR:226.2,542.0')] ).
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(548,plain,
m3(u,u,u),
inference(mrr,[status(thm)],[275,545]),
[iquote('0:MRR:275.0,545.0')] ).
cnf(651,plain,
q1(u,u,u),
inference(res,[status(thm),theory(equality)],[20,160]),
[iquote('0:Res:20.0,160.0')] ).
cnf(679,plain,
( ~ q0(u,d)
| r1(u) ),
inference(res,[status(thm),theory(equality)],[651,401]),
[iquote('0:Res:651.0,401.1')] ).
cnf(680,plain,
r1(u),
inference(mrr,[status(thm)],[679,18]),
[iquote('0:MRR:679.0,18.0')] ).
cnf(684,plain,
( ~ k0(u)
| ~ m0(v,w,x)
| q2(x,u,x) ),
inference(mrr,[status(thm)],[544,680]),
[iquote('0:MRR:544.1,680.0')] ).
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(999,plain,
( ~ k0(u)
| q2(v,u,v) ),
inference(res,[status(thm),theory(equality)],[20,684]),
[iquote('0:Res:20.0,684.1')] ).
cnf(1260,plain,
( ~ m0(u,u,u)
| p1(u,v,u) ),
inference(res,[status(thm),theory(equality)],[541,121]),
[iquote('0:Res:541.0,121.0')] ).
cnf(1690,plain,
p1(a,u,a),
inference(res,[status(thm),theory(equality)],[13,1260]),
[iquote('0:Res:13.0,1260.0')] ).
cnf(1693,plain,
( ~ m0(a,u,a)
| p1(u,v,a) ),
inference(res,[status(thm),theory(equality)],[1690,121]),
[iquote('0:Res:1690.0,121.0')] ).
cnf(1695,plain,
p1(u,v,a),
inference(mrr,[status(thm)],[1693,13]),
[iquote('0:MRR:1693.0,13.0')] ).
cnf(1697,plain,
( ~ m0(u,v,a)
| p1(v,w,u) ),
inference(res,[status(thm),theory(equality)],[1695,121]),
[iquote('0:Res:1695.0,121.0')] ).
cnf(1720,plain,
p1(d,u,v),
inference(res,[status(thm),theory(equality)],[20,1697]),
[iquote('0:Res:20.0,1697.0')] ).
cnf(1750,plain,
( ~ m2(u)
| k3(v,v,d) ),
inference(res,[status(thm),theory(equality)],[1720,406]),
[iquote('0:Res:1720.0,406.1')] ).
cnf(1801,plain,
k3(u,u,d),
inference(ems,[status(thm)],[1750,468]),
[iquote('0:EmS:1750.0,468.0')] ).
cnf(1802,plain,
( ~ m3(u,v,u)
| ~ q2(u,b,d) ),
inference(mrr,[status(thm)],[419,1801]),
[iquote('0:MRR:419.1,1801.0')] ).
cnf(1807,plain,
~ q2(u,b,d),
inference(res,[status(thm),theory(equality)],[548,1802]),
[iquote('0:Res:548.0,1802.0')] ).
cnf(1817,plain,
~ k0(b),
inference(res,[status(thm),theory(equality)],[999,1807]),
[iquote('0:Res:999.1,1807.0')] ).
cnf(1818,plain,
$false,
inference(ssi,[status(thm)],[1817,6,33,10,468,460,503,740]),
[iquote('0:SSi:1817.0,6.0,33.0,10.0,468.0,460.0,503.0,740.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYN181-1 : TPTP v8.1.0. Released v1.1.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.12/0.31 % Computer : n024.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 600
% 0.12/0.31 % DateTime : Tue Jul 12 00:57:13 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.37/0.55
% 0.37/0.55 SPASS V 3.9
% 0.37/0.55 SPASS beiseite: Proof found.
% 0.37/0.55 % SZS status Theorem
% 0.37/0.55 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/0.55 SPASS derived 1257 clauses, backtracked 0 clauses, performed 0 splits and kept 940 clauses.
% 0.37/0.55 SPASS allocated 76876 KBytes.
% 0.37/0.55 SPASS spent 0:00:00.21 on the problem.
% 0.37/0.55 0:00:00.05 for the input.
% 0.37/0.55 0:00:00.00 for the FLOTTER CNF translation.
% 0.37/0.55 0:00:00.01 for inferences.
% 0.37/0.55 0:00:00.00 for the backtracking.
% 0.37/0.55 0:00:00.10 for the reduction.
% 0.37/0.55
% 0.37/0.55
% 0.37/0.55 Here is a proof with depth 8, length 63 :
% 0.37/0.55 % SZS output start Refutation
% See solution above
% 0.37/0.55 Formulae used in the proof : prove_this axiom_1 axiom_5 axiom_9 axiom_12 axiom_14 axiom_15 axiom_17 axiom_19 axiom_32 rule_001 rule_002 rule_082 rule_085 rule_121 rule_124 rule_125 rule_136 rule_137 rule_181 rule_186 rule_187 rule_189 rule_201 rule_236 rule_244 rule_295 rule_299
% 0.37/0.55
%------------------------------------------------------------------------------