TSTP Solution File: SYN143-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN143-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n007.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 12:19:00 EDT 2022
% Result : Unsatisfiable 0.19s 0.57s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 31
% Syntax : Number of clauses : 73 ( 34 unt; 0 nHn; 73 RR)
% Number of literals : 136 ( 0 equ; 66 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 24 ( 23 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,
~ m5(d,d),
file('SYN143-1.p',unknown),
[] ).
cnf(6,axiom,
s0(b),
file('SYN143-1.p',unknown),
[] ).
cnf(10,axiom,
r0(b),
file('SYN143-1.p',unknown),
[] ).
cnf(15,axiom,
p0(b,u),
file('SYN143-1.p',unknown),
[] ).
cnf(16,axiom,
n0(a,b),
file('SYN143-1.p',unknown),
[] ).
cnf(18,axiom,
q0(u,d),
file('SYN143-1.p',unknown),
[] ).
cnf(20,axiom,
m0(u,d,v),
file('SYN143-1.p',unknown),
[] ).
cnf(21,axiom,
l0(a),
file('SYN143-1.p',unknown),
[] ).
cnf(33,axiom,
k0(b),
file('SYN143-1.p',unknown),
[] ).
cnf(35,axiom,
n0(c,d),
file('SYN143-1.p',unknown),
[] ).
cnf(38,axiom,
n0(b,a),
file('SYN143-1.p',unknown),
[] ).
cnf(40,axiom,
( ~ n0(u,v)
| k1(v) ),
file('SYN143-1.p',unknown),
[] ).
cnf(41,axiom,
( ~ n0(u,v)
| l1(v,v) ),
file('SYN143-1.p',unknown),
[] ).
cnf(89,axiom,
( ~ l0(u)
| ~ s0(b)
| ~ p0(b,v)
| n1(u,v,u) ),
file('SYN143-1.p',unknown),
[] ).
cnf(93,axiom,
( ~ l0(u)
| ~ l1(u,v)
| ~ n1(v,w,v)
| n1(v,w,w) ),
file('SYN143-1.p',unknown),
[] ).
cnf(124,axiom,
( ~ p0(u,v)
| p1(v,v,v) ),
file('SYN143-1.p',unknown),
[] ).
cnf(164,axiom,
( ~ p0(u,u)
| s1(u) ),
file('SYN143-1.p',unknown),
[] ).
cnf(165,axiom,
( ~ s1(u)
| ~ q0(v,w)
| s1(v) ),
file('SYN143-1.p',unknown),
[] ).
cnf(172,axiom,
( ~ s1(u)
| ~ p0(v,v)
| ~ m0(w,u,x)
| l2(x,x) ),
file('SYN143-1.p',unknown),
[] ).
cnf(175,axiom,
( ~ k1(b)
| m2(b) ),
file('SYN143-1.p',unknown),
[] ).
cnf(176,axiom,
( ~ p1(u,v,w)
| n2(w) ),
file('SYN143-1.p',unknown),
[] ).
cnf(216,axiom,
( ~ k0(u)
| ~ p1(v,v,v)
| q2(v,u,u) ),
file('SYN143-1.p',unknown),
[] ).
cnf(220,axiom,
( ~ p1(u,u,u)
| q2(u,u,u) ),
file('SYN143-1.p',unknown),
[] ).
cnf(221,axiom,
( ~ q2(u,v,w)
| ~ n1(u,w,v)
| ~ p1(w,w,v)
| q2(w,u,w) ),
file('SYN143-1.p',unknown),
[] ).
cnf(225,axiom,
( ~ l1(u,v)
| q2(v,v,u) ),
file('SYN143-1.p',unknown),
[] ).
cnf(228,axiom,
( ~ s1(b)
| ~ q2(b,u,b)
| s2(u) ),
file('SYN143-1.p',unknown),
[] ).
cnf(283,axiom,
( ~ n2(u)
| p3(u,u,u) ),
file('SYN143-1.p',unknown),
[] ).
cnf(312,axiom,
( ~ s2(u)
| ~ m0(v,w,x)
| ~ q2(v,u,v)
| s3(u,x) ),
file('SYN143-1.p',unknown),
[] ).
cnf(318,axiom,
( ~ l2(u,v)
| ~ s3(a,w)
| m4(w,v) ),
file('SYN143-1.p',unknown),
[] ).
cnf(338,axiom,
( ~ l1(u,v)
| ~ p3(w,v,x)
| s4(u) ),
file('SYN143-1.p',unknown),
[] ).
cnf(344,axiom,
( ~ s4(u)
| ~ m4(e,e)
| m5(u,u) ),
file('SYN143-1.p',unknown),
[] ).
cnf(405,plain,
( ~ l0(u)
| n1(u,v,u) ),
inference(mrr,[status(thm)],[89,6,15]),
[iquote('0:MRR:89.1,89.2,6.0,15.0')] ).
cnf(419,plain,
( ~ s4(d)
| ~ m4(e,e) ),
inference(res,[status(thm),theory(equality)],[344,1]),
[iquote('0:Res:344.2,1.0')] ).
cnf(458,plain,
s1(b),
inference(res,[status(thm),theory(equality)],[15,164]),
[iquote('0:Res:15.0,164.0')] ).
cnf(459,plain,
( ~ q2(b,u,b)
| s2(u) ),
inference(mrr,[status(thm)],[228,458]),
[iquote('0:MRR:228.0,458.0')] ).
cnf(460,plain,
k1(a),
inference(res,[status(thm),theory(equality)],[38,40]),
[iquote('0:Res:38.0,40.0')] ).
cnf(464,plain,
k1(b),
inference(res,[status(thm),theory(equality)],[16,40]),
[iquote('0:Res:16.0,40.0')] ).
cnf(472,plain,
m2(b),
inference(mrr,[status(thm)],[175,464]),
[iquote('0:MRR:175.0,464.0')] ).
cnf(475,plain,
l1(a,a),
inference(res,[status(thm),theory(equality)],[38,41]),
[iquote('0:Res:38.0,41.0')] ).
cnf(476,plain,
l1(d,d),
inference(res,[status(thm),theory(equality)],[35,41]),
[iquote('0:Res:35.0,41.0')] ).
cnf(479,plain,
l1(b,b),
inference(res,[status(thm),theory(equality)],[16,41]),
[iquote('0:Res:16.0,41.0')] ).
cnf(505,plain,
q2(b,b,b),
inference(res,[status(thm),theory(equality)],[479,225]),
[iquote('0:Res:479.0,225.0')] ).
cnf(507,plain,
s2(b),
inference(res,[status(thm),theory(equality)],[505,459]),
[iquote('0:Res:505.0,459.0')] ).
cnf(545,plain,
p1(u,u,u),
inference(res,[status(thm),theory(equality)],[15,124]),
[iquote('0:Res:15.0,124.0')] ).
cnf(546,plain,
q2(u,u,u),
inference(mrr,[status(thm)],[220,545]),
[iquote('0:MRR:220.0,545.0')] ).
cnf(547,plain,
( ~ k0(u)
| q2(v,u,u) ),
inference(mrr,[status(thm)],[216,545]),
[iquote('0:MRR:216.1,545.0')] ).
cnf(550,plain,
n2(u),
inference(res,[status(thm),theory(equality)],[545,176]),
[iquote('0:Res:545.0,176.0')] ).
cnf(552,plain,
p3(u,u,u),
inference(mrr,[status(thm)],[283,550]),
[iquote('0:MRR:283.0,550.0')] ).
cnf(606,plain,
( ~ q0(u,v)
| s1(u) ),
inference(ems,[status(thm)],[165,458]),
[iquote('0:EmS:165.0,458.0')] ).
cnf(615,plain,
s1(u),
inference(res,[status(thm),theory(equality)],[18,606]),
[iquote('0:Res:18.0,606.0')] ).
cnf(622,plain,
( ~ p0(u,u)
| ~ m0(v,w,x)
| l2(x,x) ),
inference(mrr,[status(thm)],[172,615]),
[iquote('0:MRR:172.0,615.0')] ).
cnf(738,plain,
( ~ l1(u,v)
| s4(u) ),
inference(res,[status(thm),theory(equality)],[552,338]),
[iquote('0:Res:552.0,338.1')] ).
cnf(740,plain,
s4(a),
inference(res,[status(thm),theory(equality)],[475,738]),
[iquote('0:Res:475.0,738.0')] ).
cnf(741,plain,
s4(d),
inference(res,[status(thm),theory(equality)],[476,738]),
[iquote('0:Res:476.0,738.0')] ).
cnf(743,plain,
s4(b),
inference(res,[status(thm),theory(equality)],[479,738]),
[iquote('0:Res:479.0,738.0')] ).
cnf(744,plain,
~ m4(e,e),
inference(mrr,[status(thm)],[419,741]),
[iquote('0:MRR:419.0,741.0')] ).
cnf(997,plain,
( ~ p0(u,u)
| l2(v,v) ),
inference(res,[status(thm),theory(equality)],[20,622]),
[iquote('0:Res:20.0,622.1')] ).
cnf(1006,plain,
l2(u,u),
inference(res,[status(thm),theory(equality)],[15,997]),
[iquote('0:Res:15.0,997.0')] ).
cnf(1011,plain,
( ~ s3(a,u)
| m4(u,v) ),
inference(res,[status(thm),theory(equality)],[1006,318]),
[iquote('0:Res:1006.0,318.0')] ).
cnf(1522,plain,
( ~ l0(u)
| ~ l0(v)
| ~ l1(v,u)
| n1(u,w,w) ),
inference(res,[status(thm),theory(equality)],[405,93]),
[iquote('0:Res:405.1,93.2')] ).
cnf(1543,plain,
( ~ s2(u)
| ~ q2(v,u,v)
| s3(u,w) ),
inference(res,[status(thm),theory(equality)],[20,312]),
[iquote('0:Res:20.0,312.1')] ).
cnf(1718,plain,
( ~ k0(u)
| ~ n1(v,u,u)
| ~ p1(u,u,u)
| q2(u,v,u) ),
inference(res,[status(thm),theory(equality)],[547,221]),
[iquote('0:Res:547.1,221.0')] ).
cnf(1722,plain,
( ~ k0(u)
| ~ n1(v,u,u)
| q2(u,v,u) ),
inference(mrr,[status(thm)],[1718,545]),
[iquote('0:MRR:1718.2,545.0')] ).
cnf(1827,plain,
( ~ s2(u)
| s3(u,v) ),
inference(res,[status(thm),theory(equality)],[546,1543]),
[iquote('0:Res:546.0,1543.1')] ).
cnf(1832,plain,
( ~ s2(a)
| m4(u,v) ),
inference(res,[status(thm),theory(equality)],[1827,1011]),
[iquote('0:Res:1827.1,1011.0')] ).
cnf(1981,plain,
( ~ l0(a)
| ~ l0(a)
| n1(a,u,u) ),
inference(res,[status(thm),theory(equality)],[475,1522]),
[iquote('0:Res:475.0,1522.2')] ).
cnf(1989,plain,
( ~ l0(a)
| n1(a,u,u) ),
inference(obv,[status(thm),theory(equality)],[1981]),
[iquote('0:Obv:1981.0')] ).
cnf(1990,plain,
n1(a,u,u),
inference(ssi,[status(thm)],[1989,21,460,740]),
[iquote('0:SSi:1989.0,21.0,460.0,740.0')] ).
cnf(2007,plain,
( ~ k0(u)
| q2(u,a,u) ),
inference(res,[status(thm),theory(equality)],[1990,1722]),
[iquote('0:Res:1990.0,1722.1')] ).
cnf(2031,plain,
( ~ k0(b)
| s2(a) ),
inference(res,[status(thm),theory(equality)],[2007,459]),
[iquote('0:Res:2007.1,459.0')] ).
cnf(2035,plain,
s2(a),
inference(ssi,[status(thm)],[2031,6,33,10,472,464,507,743]),
[iquote('0:SSi:2031.0,6.0,33.0,10.0,472.0,464.0,507.0,743.0')] ).
cnf(2037,plain,
m4(u,v),
inference(mrr,[status(thm)],[1832,2035]),
[iquote('0:MRR:1832.0,2035.0')] ).
cnf(2038,plain,
$false,
inference(unc,[status(thm)],[2037,744]),
[iquote('0:UnC:2037.0,744.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN143-1 : TPTP v8.1.0. Released v1.1.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jul 12 08:36:18 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.57
% 0.19/0.57 SPASS V 3.9
% 0.19/0.57 SPASS beiseite: Proof found.
% 0.19/0.57 % SZS status Theorem
% 0.19/0.57 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.57 SPASS derived 1446 clauses, backtracked 0 clauses, performed 0 splits and kept 1035 clauses.
% 0.19/0.57 SPASS allocated 76998 KBytes.
% 0.19/0.57 SPASS spent 0:00:00.21 on the problem.
% 0.19/0.57 0:00:00.04 for the input.
% 0.19/0.57 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.57 0:00:00.01 for inferences.
% 0.19/0.57 0:00:00.00 for the backtracking.
% 0.19/0.57 0:00:00.10 for the reduction.
% 0.19/0.57
% 0.19/0.57
% 0.19/0.57 Here is a proof with depth 4, length 73 :
% 0.19/0.57 % SZS output start Refutation
% See solution above
% 0.19/0.57 Formulae used in the proof : prove_this axiom_5 axiom_9 axiom_14 axiom_15 axiom_17 axiom_19 axiom_20 axiom_32 axiom_34 axiom_37 rule_001 rule_002 rule_050 rule_054 rule_085 rule_125 rule_126 rule_133 rule_136 rule_137 rule_177 rule_181 rule_182 rule_186 rule_189 rule_244 rule_273 rule_279 rule_299 rule_305
% 0.19/0.57
%------------------------------------------------------------------------------