%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : COL059-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n027.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 : Fri Jul 15 00:42:30 EDT 2022
% Result : Unsatisfiable 0.21s 0.43s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 8
% Syntax : Number of clauses : 35 ( 35 unt; 0 nHn; 35 RR)
% Number of literals : 35 ( 0 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
equal(response(response(kestrel,u),v),u),
file('COL059-1.p',unknown),
[] ).
cnf(2,axiom,
equal(response(response(lark,u),v),response(u,response(v,v))),
file('COL059-1.p',unknown),
[] ).
cnf(3,axiom,
equal(response(response(response(lark,lark),u),v),response(response(u,u),response(v,v))),
file('COL059-1.p',unknown),
[] ).
cnf(4,axiom,
equal(response(response(response(response(lark,lark),lark),u),v),response(response(response(u,u),response(u,u)),response(x2__dfg,x2__dfg))),
file('COL059-1.p',unknown),
[] ).
cnf(5,axiom,
~ equal(response(l2,l2),l2),
file('COL059-1.p',unknown),
[] ).
cnf(6,axiom,
equal(response(lark,lark),l2),
file('COL059-1.p',unknown),
[] ).
cnf(7,axiom,
equal(response(l2,lark),l3),
file('COL059-1.p',unknown),
[] ).
cnf(8,axiom,
equal(response(l3,l3),l3),
file('COL059-1.p',unknown),
[] ).
cnf(9,plain,
equal(response(response(u,u),response(v,v)),response(response(l2,u),v)),
inference(rew,[status(thm),theory(equality)],[6,3]),
[iquote('0:Rew:6.0,3.0')] ).
cnf(10,plain,
equal(response(response(l3,u),v),response(response(response(l2,u),u),response(x2__dfg,x2__dfg))),
inference(rew,[status(thm),theory(equality)],[7,4,6,9]),
[iquote('0:Rew:7.0,4.0,6.0,4.0,9.0,4.0')] ).
cnf(18,plain,
equal(response(response(lark,response(kestrel,u)),v),u),
inference(spr,[status(thm),theory(equality)],[2,1]),
[iquote('0:SpR:2.0,1.0')] ).
cnf(21,plain,
equal(response(lark,response(u,u)),response(l2,u)),
inference(spr,[status(thm),theory(equality)],[6,2]),
[iquote('0:SpR:6.0,2.0')] ).
cnf(32,plain,
equal(response(response(l2,kestrel),u),kestrel),
inference(spr,[status(thm),theory(equality)],[21,18]),
[iquote('0:SpR:21.0,18.0')] ).
cnf(34,plain,
equal(response(l2,lark),response(lark,l2)),
inference(spr,[status(thm),theory(equality)],[6,21]),
[iquote('0:SpR:6.0,21.0')] ).
cnf(37,plain,
equal(response(l2,response(lark,response(kestrel,u))),response(lark,u)),
inference(spr,[status(thm),theory(equality)],[18,21]),
[iquote('0:SpR:18.0,21.0')] ).
cnf(39,plain,
equal(response(lark,l2),l3),
inference(rew,[status(thm),theory(equality)],[7,34]),
[iquote('0:Rew:7.0,34.0')] ).
cnf(43,plain,
equal(response(l2,response(u,u)),response(l3,u)),
inference(spr,[status(thm),theory(equality)],[39,2]),
[iquote('0:SpR:39.0,2.0')] ).
cnf(46,plain,
equal(response(response(response(l2,u),u),response(v,v)),response(response(l2,response(u,u)),v)),
inference(spr,[status(thm),theory(equality)],[9]),
[iquote('0:SpR:9.0,9.0')] ).
cnf(68,plain,
equal(response(response(response(l2,u),u),response(v,v)),response(response(l3,u),v)),
inference(rew,[status(thm),theory(equality)],[43,46]),
[iquote('0:Rew:43.0,46.0')] ).
cnf(69,plain,
equal(response(response(l3,u),v),response(response(l3,u),x2__dfg)),
inference(rew,[status(thm),theory(equality)],[68,10]),
[iquote('0:Rew:68.0,10.0')] ).
cnf(100,plain,
equal(response(l3,u),response(l3,x2__dfg)),
inference(spr,[status(thm),theory(equality)],[8,69]),
[iquote('0:SpR:8.0,69.0')] ).
cnf(104,plain,
equal(response(l3,x2__dfg),l3),
inference(rew,[status(thm),theory(equality)],[100,8]),
[iquote('0:Rew:100.0,8.0')] ).
cnf(105,plain,
equal(response(l3,u),l3),
inference(rew,[status(thm),theory(equality)],[104,100]),
[iquote('0:Rew:104.0,100.0')] ).
cnf(107,plain,
equal(response(l2,response(u,u)),l3),
inference(rew,[status(thm),theory(equality)],[105,43]),
[iquote('0:Rew:105.0,43.0')] ).
cnf(145,plain,
equal(response(l2,l2),l3),
inference(spr,[status(thm),theory(equality)],[6,107]),
[iquote('0:SpR:6.0,107.0')] ).
cnf(146,plain,
equal(response(l2,kestrel),l3),
inference(spr,[status(thm),theory(equality)],[32,107]),
[iquote('0:SpR:32.0,107.0')] ).
cnf(150,plain,
equal(response(l2,u),l3),
inference(spr,[status(thm),theory(equality)],[1,107]),
[iquote('0:SpR:1.0,107.0')] ).
cnf(154,plain,
~ equal(l3,l2),
inference(rew,[status(thm),theory(equality)],[145,5]),
[iquote('0:Rew:145.0,5.0')] ).
cnf(155,plain,
equal(response(l3,u),kestrel),
inference(rew,[status(thm),theory(equality)],[146,32]),
[iquote('0:Rew:146.0,32.0')] ).
cnf(173,plain,
equal(response(lark,u),l3),
inference(rew,[status(thm),theory(equality)],[150,37]),
[iquote('0:Rew:150.0,37.0')] ).
cnf(183,plain,
equal(l3,kestrel),
inference(rew,[status(thm),theory(equality)],[105,155]),
[iquote('0:Rew:105.0,155.0')] ).
cnf(186,plain,
~ equal(l2,kestrel),
inference(rew,[status(thm),theory(equality)],[183,154]),
[iquote('0:Rew:183.0,154.0')] ).
cnf(197,plain,
equal(response(lark,u),kestrel),
inference(rew,[status(thm),theory(equality)],[183,173]),
[iquote('0:Rew:183.0,173.0')] ).
cnf(199,plain,
equal(l2,kestrel),
inference(rew,[status(thm),theory(equality)],[197,6]),
[iquote('0:Rew:197.0,6.0')] ).
cnf(202,plain,
$false,
inference(mrr,[status(thm)],[199,186]),
[iquote('0:MRR:199.0,186.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COL059-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Tue May 31 16:02:47 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.43
% 0.21/0.43 SPASS V 3.9
% 0.21/0.43 SPASS beiseite: Proof found.
% 0.21/0.43 % SZS status Theorem
% 0.21/0.43 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.43 SPASS derived 147 clauses, backtracked 0 clauses, performed 0 splits and kept 69 clauses.
% 0.21/0.43 SPASS allocated 63266 KBytes.
% 0.21/0.43 SPASS spent 0:00:00.07 on the problem.
% 0.21/0.43 0:00:00.03 for the input.
% 0.21/0.43 0:00:00.00 for the FLOTTER CNF translation.
% 0.21/0.43 0:00:00.00 for inferences.
% 0.21/0.43 0:00:00.00 for the backtracking.
% 0.21/0.43 0:00:00.01 for the reduction.
% 0.21/0.43
% 0.21/0.43
% 0.21/0.43 Here is a proof with depth 4, length 35 :
% 0.21/0.43 % SZS output start Refutation
% See solution above
% 0.21/0.43 Formulae used in the proof : kestrel_exists lark_exists lark_lemma1 lark_lemma2 lark_not_egocentric l2_definition l3_definition prove_l3_not_egocentric
% 0.21/0.43
%------------------------------------------------------------------------------