%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO494+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n011.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 : Sat Jul 16 06:24:57 EDT 2022
% Result : Theorem 4.19s 4.39s
% Output : Refutation 4.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of clauses : 32 ( 16 unt; 0 nHn; 32 RR)
% Number of literals : 54 ( 0 equ; 25 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 19 ( 19 usr; 16 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(8,axiom,
le(skc11,skc10,skc6,skc7),
file('GEO494+1.p',unknown),
[] ).
cnf(9,axiom,
le(skc6,skc7,skc8,skc9),
file('GEO494+1.p',unknown),
[] ).
cnf(13,axiom,
s_e(u,v,v,u),
file('GEO494+1.p',unknown),
[] ).
cnf(17,axiom,
~ le(skc11,skc10,skc8,skc9),
file('GEO494+1.p',unknown),
[] ).
cnf(23,axiom,
( ~ s_t(u,v,w)
| s_t(w,v,u) ),
file('GEO494+1.p',unknown),
[] ).
cnf(33,axiom,
s_e(u,ext(v,u,w,x),w,x),
file('GEO494+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ s_e(u,v,w,x)
| s_e(v,u,w,x) ),
file('GEO494+1.p',unknown),
[] ).
cnf(44,axiom,
( ~ s_t(u,v,w)
| ~ s_t(x,u,w)
| s_t(x,v,w) ),
file('GEO494+1.p',unknown),
[] ).
cnf(46,axiom,
( ~ le(u,v,w,x)
| s_t(u,v,ins(w,x,u,v)) ),
file('GEO494+1.p',unknown),
[] ).
cnf(52,axiom,
( ~ le(u,v,w,x)
| s_t(w,insert(u,v,w,x),x) ),
file('GEO494+1.p',unknown),
[] ).
cnf(54,axiom,
( ~ le(u,v,w,x)
| s_e(u,ins(w,x,u,v),w,x) ),
file('GEO494+1.p',unknown),
[] ).
cnf(55,axiom,
equal(ext(ext(u,v,alpha,gamma),v,w,x),insert(w,x,v,u)),
file('GEO494+1.p',unknown),
[] ).
cnf(67,axiom,
( ~ s_t(u,v,w)
| ~ s_e(u,w,x,y)
| le(u,v,x,y) ),
file('GEO494+1.p',unknown),
[] ).
cnf(88,axiom,
( ~ s_e(u,v,w,x)
| ~ s_e(y,z,x1,x2)
| ~ le(y,z,u,v)
| le(x1,x2,w,x) ),
file('GEO494+1.p',unknown),
[] ).
cnf(104,plain,
s_e(skc6,ins(skc8,skc9,skc6,skc7),skc8,skc9),
inference(res,[status(thm),theory(equality)],[9,54]),
[iquote('0:Res:9.0,54.0')] ).
cnf(106,plain,
s_t(skc6,skc7,ins(skc8,skc9,skc6,skc7)),
inference(res,[status(thm),theory(equality)],[9,46]),
[iquote('0:Res:9.0,46.0')] ).
cnf(113,plain,
s_t(skc6,insert(skc11,skc10,skc6,skc7),skc7),
inference(res,[status(thm),theory(equality)],[8,52]),
[iquote('0:Res:8.0,52.0')] ).
cnf(116,plain,
( ~ le(u,v,w,x)
| ~ s_e(w,x,skc8,skc9)
| ~ s_e(u,v,skc11,skc10) ),
inference(res,[status(thm),theory(equality)],[88,17]),
[iquote('0:Res:88.3,17.0')] ).
cnf(158,plain,
s_t(skc7,insert(skc11,skc10,skc6,skc7),skc6),
inference(res,[status(thm),theory(equality)],[113,23]),
[iquote('0:Res:113.0,23.0')] ).
cnf(161,plain,
s_t(ins(skc8,skc9,skc6,skc7),skc7,skc6),
inference(res,[status(thm),theory(equality)],[106,23]),
[iquote('0:Res:106.0,23.0')] ).
cnf(226,plain,
s_e(ext(u,v,w,x),v,w,x),
inference(res,[status(thm),theory(equality)],[33,35]),
[iquote('0:Res:33.0,35.0')] ).
cnf(395,plain,
( ~ s_t(u,skc7,skc6)
| s_t(u,insert(skc11,skc10,skc6,skc7),skc6) ),
inference(res,[status(thm),theory(equality)],[158,44]),
[iquote('0:Res:158.0,44.0')] ).
cnf(519,plain,
( ~ s_t(u,skc7,skc6)
| s_t(skc6,insert(skc11,skc10,skc6,skc7),u) ),
inference(res,[status(thm),theory(equality)],[395,23]),
[iquote('0:Res:395.1,23.0')] ).
cnf(702,plain,
s_e(insert(u,v,w,x),w,u,v),
inference(spr,[status(thm),theory(equality)],[55,226]),
[iquote('0:SpR:55.0,226.0')] ).
cnf(1186,plain,
( ~ s_t(skc6,u,ins(skc8,skc9,skc6,skc7))
| le(skc6,u,skc8,skc9) ),
inference(res,[status(thm),theory(equality)],[104,67]),
[iquote('0:Res:104.0,67.1')] ).
cnf(2491,plain,
( ~ s_t(ins(skc8,skc9,skc6,skc7),skc7,skc6)
| le(skc6,insert(skc11,skc10,skc6,skc7),skc8,skc9) ),
inference(res,[status(thm),theory(equality)],[519,1186]),
[iquote('0:Res:519.1,1186.0')] ).
cnf(2498,plain,
le(skc6,insert(skc11,skc10,skc6,skc7),skc8,skc9),
inference(mrr,[status(thm)],[2491,161]),
[iquote('0:MRR:2491.0,161.0')] ).
cnf(2731,plain,
( ~ s_e(u,v,w,x)
| ~ le(u,v,y,z)
| le(w,x,z,y) ),
inference(res,[status(thm),theory(equality)],[13,88]),
[iquote('0:Res:13.0,88.0')] ).
cnf(7010,plain,
( ~ le(u,v,w,x)
| le(v,u,x,w) ),
inference(res,[status(thm),theory(equality)],[13,2731]),
[iquote('0:Res:13.0,2731.0')] ).
cnf(7163,plain,
le(insert(skc11,skc10,skc6,skc7),skc6,skc9,skc8),
inference(res,[status(thm),theory(equality)],[2498,7010]),
[iquote('0:Res:2498.0,7010.0')] ).
cnf(7349,plain,
( ~ s_e(skc9,skc8,skc8,skc9)
| ~ s_e(insert(skc11,skc10,skc6,skc7),skc6,skc11,skc10) ),
inference(res,[status(thm),theory(equality)],[7163,116]),
[iquote('0:Res:7163.0,116.0')] ).
cnf(7364,plain,
$false,
inference(mrr,[status(thm)],[7349,13,702]),
[iquote('0:MRR:7349.0,7349.1,13.0,702.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO494+1 : TPTP v8.1.0. Released v7.0.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 00:46:52 EDT 2022
% 0.12/0.34 % CPUTime :
% 4.19/4.39
% 4.19/4.39 SPASS V 3.9
% 4.19/4.39 SPASS beiseite: Proof found.
% 4.19/4.39 % SZS status Theorem
% 4.19/4.39 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.19/4.39 SPASS derived 6152 clauses, backtracked 790 clauses, performed 2 splits and kept 3919 clauses.
% 4.19/4.39 SPASS allocated 91292 KBytes.
% 4.19/4.39 SPASS spent 0:00:04.00 on the problem.
% 4.19/4.39 0:00:00.04 for the input.
% 4.19/4.39 0:00:00.04 for the FLOTTER CNF translation.
% 4.19/4.39 0:00:00.08 for inferences.
% 4.19/4.39 0:00:00.02 for the backtracking.
% 4.19/4.39 0:00:03.77 for the reduction.
% 4.19/4.39
% 4.19/4.39
% 4.19/4.39 Here is a proof with depth 7, length 32 :
% 4.19/4.39 % SZS output start Refutation
% See solution above
% 4.19/4.39 Formulae used in the proof : aSatz5_8 aA1 aSatz3_2 aA4 aSatz2_4 aSatz3_5b aSatz5_5a d_Defn5_4 d_insert aSatz5_5b aSatz5_6
% 4.19/4.39
%------------------------------------------------------------------------------