TSTP Solution File: GEO585+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO585+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n028.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 06:25:22 EDT 2022
% Result : Theorem 45.98s 46.20s
% Output : Refutation 45.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of clauses : 25 ( 7 unt; 2 nHn; 25 RR)
% Number of literals : 49 ( 0 equ; 23 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 : 13 ( 13 usr; 13 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
perp(skc8,skc15,skc9,skc10),
file('GEO585+1.p',unknown),
[] ).
cnf(9,axiom,
~ cyclic(skc8,skc10,skc9,skc11),
file('GEO585+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ perp(u,v,w,x)
| perp(w,x,u,v) ),
file('GEO585+1.p',unknown),
[] ).
cnf(34,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO585+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO585+1.p',unknown),
[] ).
cnf(45,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO585+1.p',unknown),
[] ).
cnf(48,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO585+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('GEO585+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('GEO585+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('GEO585+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('GEO585+1.p',unknown),
[] ).
cnf(238,plain,
perp(skc9,skc10,skc8,skc15),
inference(res,[status(thm),theory(equality)],[2,19]),
[iquote('0:Res:2.0,19.0')] ).
cnf(243,plain,
( ~ perp(u,v,skc8,skc15)
| para(u,v,skc9,skc10) ),
inference(res,[status(thm),theory(equality)],[2,45]),
[iquote('0:Res:2.0,45.1')] ).
cnf(1571,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(1603,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(5528,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1571,63]),
[iquote('0:Res:1571.1,63.0')] ).
cnf(5539,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1571,80]),
[iquote('0:Res:1571.1,80.1')] ).
cnf(5551,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[5539,5528]),
[iquote('0:MRR:5539.1,5528.1')] ).
cnf(5906,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1603,34]),
[iquote('0:Res:1603.1,34.0')] ).
cnf(40859,plain,
( ~ perp(skc9,skc10,skc8,skc15)
| para(u,v,u,v) ),
inference(res,[status(thm),theory(equality)],[243,5906]),
[iquote('0:Res:243.1,5906.0')] ).
cnf(41957,plain,
para(u,v,u,v),
inference(mrr,[status(thm)],[40859,238]),
[iquote('0:MRR:40859.0,238.0')] ).
cnf(41958,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[5551,41957]),
[iquote('0:MRR:5551.0,41957.0')] ).
cnf(42108,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[41958,48]),
[iquote('0:Res:41958.0,48.0')] ).
cnf(42205,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[42108,41958]),
[iquote('0:MRR:42108.0,41958.0')] ).
cnf(42206,plain,
$false,
inference(unc,[status(thm)],[42205,9]),
[iquote('0:UnC:42205.0,9.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO585+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Fri Jun 17 21:24:13 EDT 2022
% 0.13/0.33 % CPUTime :
% 45.98/46.20
% 45.98/46.20 SPASS V 3.9
% 45.98/46.20 SPASS beiseite: Proof found.
% 45.98/46.20 % SZS status Theorem
% 45.98/46.20 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 45.98/46.20 SPASS derived 40393 clauses, backtracked 10342 clauses, performed 5 splits and kept 31506 clauses.
% 45.98/46.20 SPASS allocated 114765 KBytes.
% 45.98/46.20 SPASS spent 0:0:45.28 on the problem.
% 45.98/46.20 0:00:00.04 for the input.
% 45.98/46.20 0:00:00.27 for the FLOTTER CNF translation.
% 45.98/46.20 0:00:00.83 for inferences.
% 45.98/46.20 0:00:01.72 for the backtracking.
% 45.98/46.20 0:0:41.30 for the reduction.
% 45.98/46.20
% 45.98/46.20
% 45.98/46.20 Here is a proof with depth 3, length 25 :
% 45.98/46.20 % SZS output start Refutation
% See solution above
% 45.98/46.20 Formulae used in the proof : exemplo6GDDFULL416047 ruleD8 ruleD39 ruleD40 ruleD9 ruleD17 ruleD19 ruleD21 ruleD42a ruleD42b
% 45.98/46.20
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