%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO612+1 : TPTP v8.1.0. Released v7.5.0.
% 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 06:25:31 EDT 2022
% Result : Theorem 13.83s 14.03s
% Output : Refutation 13.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of clauses : 37 ( 11 unt; 2 nHn; 37 RR)
% Number of literals : 72 ( 0 equ; 34 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(1,axiom,
coll(skc16,skc15,skc9),
file('GEO612+1.p',unknown),
[] ).
cnf(6,axiom,
perp(skc10,skc9,skc15,skc14),
file('GEO612+1.p',unknown),
[] ).
cnf(10,axiom,
~ cyclic(skc15,skc16,skc13,skc14),
file('GEO612+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ coll(u,v,w)
| coll(u,w,v) ),
file('GEO612+1.p',unknown),
[] ).
cnf(20,axiom,
( ~ perp(u,v,w,x)
| perp(w,x,u,v) ),
file('GEO612+1.p',unknown),
[] ).
cnf(28,axiom,
( ~ coll(u,v,w)
| ~ coll(u,v,x)
| coll(x,w,u) ),
file('GEO612+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO612+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO612+1.p',unknown),
[] ).
cnf(37,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO612+1.p',unknown),
[] ).
cnf(46,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO612+1.p',unknown),
[] ).
cnf(49,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO612+1.p',unknown),
[] ).
cnf(57,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO612+1.p',unknown),
[] ).
cnf(59,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO612+1.p',unknown),
[] ).
cnf(64,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO612+1.p',unknown),
[] ).
cnf(81,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO612+1.p',unknown),
[] ).
cnf(195,plain,
coll(skc16,skc9,skc15),
inference(res,[status(thm),theory(equality)],[1,11]),
[iquote('0:Res:1.0,11.0')] ).
cnf(381,plain,
perp(skc15,skc14,skc10,skc9),
inference(res,[status(thm),theory(equality)],[6,20]),
[iquote('0:Res:6.0,20.0')] ).
cnf(431,plain,
( ~ coll(skc16,skc9,u)
| coll(u,skc15,skc16) ),
inference(res,[status(thm),theory(equality)],[195,28]),
[iquote('0:Res:195.0,28.0')] ).
cnf(510,plain,
coll(skc15,skc15,skc16),
inference(res,[status(thm),theory(equality)],[195,431]),
[iquote('0:Res:195.0,431.0')] ).
cnf(616,plain,
( ~ cyclic(u,v,w,w)
| para(w,u,w,u) ),
inference(res,[status(thm),theory(equality)],[37,35]),
[iquote('0:Res:37.1,35.0')] ).
cnf(801,plain,
( ~ perp(u,v,skc10,skc9)
| para(u,v,skc15,skc14) ),
inference(res,[status(thm),theory(equality)],[6,46]),
[iquote('0:Res:6.0,46.0')] ).
cnf(1249,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[36,59]),
[iquote('0:Res:36.1,59.0')] ).
cnf(1281,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[36,57]),
[iquote('0:Res:36.1,57.0')] ).
cnf(1668,plain,
( ~ para(u,v,u,v)
| ~ coll(u,u,w)
| cyclic(v,w,u,u) ),
inference(res,[status(thm),theory(equality)],[36,81]),
[iquote('0:Res:36.1,81.1')] ).
cnf(4909,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1249,64]),
[iquote('0:Res:1249.1,64.0')] ).
cnf(4920,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1249,81]),
[iquote('0:Res:1249.1,81.1')] ).
cnf(4936,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[4920,4909]),
[iquote('0:MRR:4920.1,4909.1')] ).
cnf(5267,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1281,35]),
[iquote('0:Res:1281.1,35.0')] ).
cnf(5689,plain,
( ~ perp(skc15,skc14,skc10,skc9)
| ~ coll(skc15,skc15,u)
| cyclic(skc14,u,skc15,skc15) ),
inference(res,[status(thm),theory(equality)],[801,1668]),
[iquote('0:Res:801.1,1668.0')] ).
cnf(5693,plain,
( ~ coll(skc15,skc15,u)
| cyclic(skc14,u,skc15,skc15) ),
inference(mrr,[status(thm)],[5689,381]),
[iquote('0:MRR:5689.0,381.0')] ).
cnf(10173,plain,
( ~ coll(skc15,skc15,u)
| para(skc15,skc14,skc15,skc14) ),
inference(res,[status(thm),theory(equality)],[5693,616]),
[iquote('0:Res:5693.1,616.0')] ).
cnf(10179,plain,
para(skc15,skc14,skc15,skc14),
inference(res,[status(thm),theory(equality)],[510,10173]),
[iquote('0:Res:510.0,10173.0')] ).
cnf(18104,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[10179,5267]),
[iquote('0:Res:10179.0,5267.0')] ).
cnf(18140,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[4936,18104]),
[iquote('0:MRR:4936.0,18104.0')] ).
cnf(20690,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[18140,49]),
[iquote('0:Res:18140.0,49.0')] ).
cnf(20813,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[20690,18140]),
[iquote('0:MRR:20690.0,18140.0')] ).
cnf(20814,plain,
$false,
inference(unc,[status(thm)],[20813,10]),
[iquote('0:UnC:20813.0,10.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO612+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n011.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 : Fri Jun 17 18:37:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 13.83/14.03
% 13.83/14.03 SPASS V 3.9
% 13.83/14.03 SPASS beiseite: Proof found.
% 13.83/14.03 % SZS status Theorem
% 13.83/14.03 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.83/14.03 SPASS derived 19778 clauses, backtracked 0 clauses, performed 2 splits and kept 11875 clauses.
% 13.83/14.03 SPASS allocated 101180 KBytes.
% 13.83/14.03 SPASS spent 0:0:13.29 on the problem.
% 13.83/14.03 0:00:00.04 for the input.
% 13.83/14.03 0:00:00.21 for the FLOTTER CNF translation.
% 13.83/14.03 0:00:00.38 for inferences.
% 13.83/14.03 0:00:00.09 for the backtracking.
% 13.83/14.03 0:0:12.19 for the reduction.
% 13.83/14.03
% 13.83/14.03
% 13.83/14.03 Here is a proof with depth 5, length 37 :
% 13.83/14.03 % SZS output start Refutation
% See solution above
% 13.83/14.03 Formulae used in the proof : exemplo6GDDFULL618074 ruleD1 ruleD8 ruleD3 ruleD39 ruleD40 ruleD41 ruleD9 ruleD17 ruleD19 ruleD21 ruleD42a ruleD42b
% 13.83/14.03
%------------------------------------------------------------------------------