%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO621+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n029.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 06:25:34 EDT 2022
% Result : Theorem 11.75s 11.93s
% Output : Refutation 11.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of clauses : 31 ( 9 unt; 2 nHn; 31 RR)
% Number of literals : 59 ( 0 equ; 27 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-8 aty)
% Number of functors : 14 ( 14 usr; 14 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
midp(skc13,skc17,skc15),
file('GEO621+1.p',unknown),
[] ).
cnf(9,axiom,
~ cyclic(skc16,skc10,skc15,skc11),
file('GEO621+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ midp(u,v,w)
| midp(u,w,v) ),
file('GEO621+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ para(u,v,w,x)
| para(u,v,x,w) ),
file('GEO621+1.p',unknown),
[] ).
cnf(34,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO621+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO621+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO621+1.p',unknown),
[] ).
cnf(39,axiom,
( ~ midp(u,v,w)
| ~ midp(u,x,y)
| para(x,v,y,w) ),
file('GEO621+1.p',unknown),
[] ).
cnf(48,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO621+1.p',unknown),
[] ).
cnf(56,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO621+1.p',unknown),
[] ).
cnf(58,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO621+1.p',unknown),
[] ).
cnf(63,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO621+1.p',unknown),
[] ).
cnf(80,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO621+1.p',unknown),
[] ).
cnf(233,plain,
midp(skc13,skc15,skc17),
inference(res,[status(thm),theory(equality)],[2,12]),
[iquote('0:Res:2.0,12.0')] ).
cnf(235,plain,
( ~ midp(skc13,u,v)
| para(u,skc17,v,skc15) ),
inference(res,[status(thm),theory(equality)],[2,39]),
[iquote('0:Res:2.0,39.1')] ).
cnf(664,plain,
( ~ cyclic(u,v,w,w)
| para(w,u,w,u) ),
inference(res,[status(thm),theory(equality)],[36,34]),
[iquote('0:Res:36.1,34.0')] ).
cnf(1175,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[35,58]),
[iquote('0:Res:35.1,58.0')] ).
cnf(1207,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[35,56]),
[iquote('0:Res:35.1,56.0')] ).
cnf(3120,plain,
( ~ midp(skc13,u,v)
| para(u,skc17,skc15,v) ),
inference(res,[status(thm),theory(equality)],[235,16]),
[iquote('0:Res:235.1,16.0')] ).
cnf(4266,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1175,63]),
[iquote('0:Res:1175.1,63.0')] ).
cnf(4277,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1175,80]),
[iquote('0:Res:1175.1,80.1')] ).
cnf(4292,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[4277,4266]),
[iquote('0:MRR:4277.1,4266.1')] ).
cnf(4593,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1207,34]),
[iquote('0:Res:1207.1,34.0')] ).
cnf(16253,plain,
( ~ midp(skc13,skc15,skc17)
| cyclic(skc17,skc17,skc15,u) ),
inference(res,[status(thm),theory(equality)],[3120,4292]),
[iquote('0:Res:3120.1,4292.0')] ).
cnf(16263,plain,
cyclic(skc17,skc17,skc15,u),
inference(mrr,[status(thm)],[16253,233]),
[iquote('0:MRR:16253.0,233.0')] ).
cnf(16289,plain,
para(skc15,skc17,skc15,skc17),
inference(res,[status(thm),theory(equality)],[16263,664]),
[iquote('0:Res:16263.0,664.0')] ).
cnf(16939,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[16289,4593]),
[iquote('0:Res:16289.0,4593.0')] ).
cnf(16946,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[4292,16939]),
[iquote('0:MRR:4292.0,16939.0')] ).
cnf(18723,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[16946,48]),
[iquote('0:Res:16946.0,48.0')] ).
cnf(18811,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[18723,16946]),
[iquote('0:MRR:18723.0,16946.0')] ).
cnf(18812,plain,
$false,
inference(unc,[status(thm)],[18811,9]),
[iquote('0:UnC:18811.0,9.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO621+1 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n029.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 08:54:13 EDT 2022
% 0.12/0.34 % CPUTime :
% 11.75/11.93
% 11.75/11.93 SPASS V 3.9
% 11.75/11.93 SPASS beiseite: Proof found.
% 11.75/11.93 % SZS status Theorem
% 11.75/11.93 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.75/11.93 SPASS derived 17980 clauses, backtracked 0 clauses, performed 1 splits and kept 10978 clauses.
% 11.75/11.93 SPASS allocated 99662 KBytes.
% 11.75/11.93 SPASS spent 0:0:11.28 on the problem.
% 11.75/11.93 0:00:00.04 for the input.
% 11.75/11.93 0:00:00.21 for the FLOTTER CNF translation.
% 11.75/11.93 0:00:00.43 for inferences.
% 11.75/11.93 0:00:00.00 for the backtracking.
% 11.75/11.93 0:0:10.16 for the reduction.
% 11.75/11.93
% 11.75/11.93
% 11.75/11.93 Here is a proof with depth 5, length 31 :
% 11.75/11.93 % SZS output start Refutation
% See solution above
% 11.75/11.93 Formulae used in the proof : exemplo6GDDFULL8110984 ruleD11 ruleD4 ruleD39 ruleD40 ruleD41 ruleD63 ruleD17 ruleD19 ruleD21 ruleD42a ruleD42b
% 11.75/11.93
%------------------------------------------------------------------------------