TSTP Solution File: GEO603+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO603+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n008.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 06:25:28 EDT 2022
% Result : Theorem 0.97s 1.13s
% Output : Refutation 0.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of clauses : 31 ( 18 unt; 0 nHn; 31 RR)
% Number of literals : 46 ( 0 equ; 18 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-8 aty)
% Number of functors : 15 ( 15 usr; 15 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
coll(skc9,skc11,skc7),
file('GEO603+1.p',unknown),
[] ).
cnf(4,axiom,
~ coll(skc11,skc13,skc12),
file('GEO603+1.p',unknown),
[] ).
cnf(6,axiom,
para(skc7,skc8,skc10,skc9),
file('GEO603+1.p',unknown),
[] ).
cnf(7,axiom,
( ~ coll(u,v,w)
| coll(u,w,v) ),
file('GEO603+1.p',unknown),
[] ).
cnf(8,axiom,
( ~ coll(u,v,w)
| coll(v,u,w) ),
file('GEO603+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ para(u,v,u,w)
| coll(u,v,w) ),
file('GEO603+1.p',unknown),
[] ).
cnf(24,axiom,
( ~ coll(u,v,w)
| ~ coll(u,v,x)
| coll(x,w,u) ),
file('GEO603+1.p',unknown),
[] ).
cnf(32,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO603+1.p',unknown),
[] ).
cnf(54,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(y,z,x1,x2,u,v,w,x) ),
file('GEO603+1.p',unknown),
[] ).
cnf(55,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO603+1.p',unknown),
[] ).
cnf(85,axiom,
( ~ para(u,v,w,x)
| ~ eqangle(y,z,x1,x2,u,v,w,x)
| para(y,z,x1,x2) ),
file('GEO603+1.p',unknown),
[] ).
cnf(146,plain,
coll(skc11,skc9,skc7),
inference(res,[status(thm),theory(equality)],[1,8]),
[iquote('0:Res:1.0,8.0')] ).
cnf(172,plain,
eqangle(skc7,skc8,u,v,skc10,skc9,u,v),
inference(res,[status(thm),theory(equality)],[6,32]),
[iquote('0:Res:6.0,32.0')] ).
cnf(203,plain,
( ~ coll(skc12,u,skc13)
| ~ coll(skc12,u,skc11) ),
inference(res,[status(thm),theory(equality)],[24,4]),
[iquote('0:Res:24.2,4.0')] ).
cnf(397,plain,
( ~ coll(skc11,skc9,u)
| coll(u,skc7,skc11) ),
inference(res,[status(thm),theory(equality)],[146,24]),
[iquote('0:Res:146.0,24.0')] ).
cnf(419,plain,
coll(skc7,skc7,skc11),
inference(res,[status(thm),theory(equality)],[146,397]),
[iquote('0:Res:146.0,397.0')] ).
cnf(420,plain,
( ~ coll(skc7,skc7,u)
| coll(u,skc11,skc7) ),
inference(res,[status(thm),theory(equality)],[419,24]),
[iquote('0:Res:419.0,24.0')] ).
cnf(1209,plain,
eqangle(skc7,skc8,skc10,skc9,u,v,u,v),
inference(res,[status(thm),theory(equality)],[172,55]),
[iquote('0:Res:172.0,55.0')] ).
cnf(2438,plain,
eqangle(u,v,u,v,skc7,skc8,skc10,skc9),
inference(res,[status(thm),theory(equality)],[1209,54]),
[iquote('0:Res:1209.0,54.0')] ).
cnf(2502,plain,
( ~ para(skc7,skc8,skc10,skc9)
| para(u,v,u,v) ),
inference(res,[status(thm),theory(equality)],[2438,85]),
[iquote('0:Res:2438.0,85.1')] ).
cnf(2504,plain,
para(u,v,u,v),
inference(mrr,[status(thm)],[2502,6]),
[iquote('0:MRR:2502.0,6.0')] ).
cnf(2510,plain,
coll(u,v,v),
inference(res,[status(thm),theory(equality)],[2504,11]),
[iquote('0:Res:2504.0,11.0')] ).
cnf(2541,plain,
coll(u,v,u),
inference(res,[status(thm),theory(equality)],[2510,8]),
[iquote('0:Res:2510.0,8.0')] ).
cnf(2542,plain,
~ coll(skc12,skc13,skc11),
inference(res,[status(thm),theory(equality)],[2510,203]),
[iquote('0:Res:2510.0,203.0')] ).
cnf(2648,plain,
coll(u,u,v),
inference(res,[status(thm),theory(equality)],[2541,7]),
[iquote('0:Res:2541.0,7.0')] ).
cnf(2720,plain,
coll(u,skc11,skc7),
inference(mrr,[status(thm)],[420,2648]),
[iquote('0:MRR:420.0,2648.0')] ).
cnf(2850,plain,
coll(skc11,u,skc7),
inference(res,[status(thm),theory(equality)],[2720,8]),
[iquote('0:Res:2720.0,8.0')] ).
cnf(2959,plain,
coll(skc11,skc7,u),
inference(res,[status(thm),theory(equality)],[2850,7]),
[iquote('0:Res:2850.0,7.0')] ).
cnf(3055,plain,
( ~ coll(skc11,skc7,u)
| coll(u,v,skc11) ),
inference(res,[status(thm),theory(equality)],[2959,24]),
[iquote('0:Res:2959.0,24.0')] ).
cnf(3058,plain,
coll(u,v,skc11),
inference(mrr,[status(thm)],[3055,2959]),
[iquote('0:MRR:3055.0,2959.0')] ).
cnf(3059,plain,
$false,
inference(unc,[status(thm)],[3058,2542]),
[iquote('0:UnC:3058.0,2542.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO603+1 : TPTP v8.1.0. Released v7.5.0.
% 0.08/0.14 % Command : run_spass %d %s
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sat Jun 18 05:09:37 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.97/1.13
% 0.97/1.13 SPASS V 3.9
% 0.97/1.13 SPASS beiseite: Proof found.
% 0.97/1.13 % SZS status Theorem
% 0.97/1.13 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.97/1.13 SPASS derived 2821 clauses, backtracked 0 clauses, performed 2 splits and kept 1607 clauses.
% 0.97/1.13 SPASS allocated 88563 KBytes.
% 0.97/1.13 SPASS spent 0:00:00.75 on the problem.
% 0.97/1.13 0:00:00.04 for the input.
% 0.97/1.13 0:00:00.27 for the FLOTTER CNF translation.
% 0.97/1.13 0:00:00.03 for inferences.
% 0.97/1.13 0:00:00.00 for the backtracking.
% 0.97/1.13 0:00:00.35 for the reduction.
% 0.97/1.13
% 0.97/1.13
% 0.97/1.13 Here is a proof with depth 7, length 31 :
% 0.97/1.13 % SZS output start Refutation
% See solution above
% 0.97/1.13 Formulae used in the proof : exemplo6GDDFULL618065 ruleD1 ruleD2 ruleD66 ruleD3 ruleD40 ruleD20 ruleD21 ruleD73
% 0.97/1.13
%------------------------------------------------------------------------------