TSTP Solution File: GEO094+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO094+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n020.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 06:22:16 EDT 2022
% Result : Theorem 3.30s 3.47s
% Output : Refutation 3.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 17
% Syntax : Number of clauses : 44 ( 18 unt; 3 nHn; 44 RR)
% Number of literals : 100 ( 0 equ; 57 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
part_of(skc4,skc7),
file('GEO094+1.p',unknown),
[] ).
cnf(2,axiom,
part_of(skc5,skc7),
file('GEO094+1.p',unknown),
[] ).
cnf(3,axiom,
end_point(skc6,skc7),
file('GEO094+1.p',unknown),
[] ).
cnf(4,axiom,
meet(skc6,skc4,skc5),
file('GEO094+1.p',unknown),
[] ).
cnf(5,axiom,
inner_point(skf19(u),u),
file('GEO094+1.p',unknown),
[] ).
cnf(6,axiom,
incident_c(skf12(u,v),v),
file('GEO094+1.p',unknown),
[] ).
cnf(9,axiom,
incident_c(skf16(u,v),v),
file('GEO094+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ inner_point(u,v)
| incident_c(u,v) ),
file('GEO094+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ inner_point(u,v)
| ~ end_point(u,v) ),
file('GEO094+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ meet(u,v,w)
| incident_c(u,v) ),
file('GEO094+1.p',unknown),
[] ).
cnf(18,axiom,
( ~ meet(u,v,w)
| incident_c(u,w) ),
file('GEO094+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ incident_c(skf12(u,v),u)
| part_of(v,u) ),
file('GEO094+1.p',unknown),
[] ).
cnf(26,axiom,
( ~ incident_c(u,v)
| ~ part_of(v,w)
| incident_c(u,w) ),
file('GEO094+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ incident_c(u,v)
| ~ incident_c(u,w)
| ~ meet(x,w,v)
| end_point(u,w) ),
file('GEO094+1.p',unknown),
[] ).
cnf(37,axiom,
( ~ incident_c(u,v)
| ~ incident_c(u,w)
| ~ meet(x,w,v)
| end_point(u,v) ),
file('GEO094+1.p',unknown),
[] ).
cnf(44,axiom,
( ~ incident_c(u,v)
| ~ incident_c(u,w)
| ~ end_point(skf16(w,v),w)
| ~ end_point(skf16(w,v),v)
| meet(u,v,w) ),
file('GEO094+1.p',unknown),
[] ).
cnf(45,axiom,
( ~ end_point(u,v)
| ~ part_of(w,v)
| ~ incident_c(u,w)
| ~ incident_c(u,x)
| ~ part_of(x,v)
| part_of(w,x)
| part_of(x,w) ),
file('GEO094+1.p',unknown),
[] ).
cnf(66,plain,
( ~ incident_c(u,v)
| ~ end_point(u,skc7)
| ~ incident_c(u,skc5)
| ~ part_of(v,skc7)
| part_of(v,skc5)
| part_of(skc5,v) ),
inference(res,[status(thm),theory(equality)],[2,45]),
[iquote('0:Res:2.0,45.3')] ).
cnf(76,plain,
incident_c(skc6,skc4),
inference(res,[status(thm),theory(equality)],[4,17]),
[iquote('0:Res:4.0,17.0')] ).
cnf(77,plain,
incident_c(skc6,skc5),
inference(res,[status(thm),theory(equality)],[4,18]),
[iquote('0:Res:4.0,18.0')] ).
cnf(78,plain,
( ~ incident_c(u,skc5)
| ~ incident_c(u,skc4)
| end_point(u,skc4) ),
inference(res,[status(thm),theory(equality)],[4,36]),
[iquote('0:Res:4.0,36.2')] ).
cnf(79,plain,
( ~ incident_c(u,skc5)
| ~ incident_c(u,skc4)
| end_point(u,skc5) ),
inference(res,[status(thm),theory(equality)],[4,37]),
[iquote('0:Res:4.0,37.2')] ).
cnf(182,plain,
incident_c(skf19(u),u),
inference(res,[status(thm),theory(equality)],[5,13]),
[iquote('0:Res:5.0,13.0')] ).
cnf(187,plain,
~ end_point(skf19(u),u),
inference(res,[status(thm),theory(equality)],[5,16]),
[iquote('0:Res:5.0,16.0')] ).
cnf(282,plain,
part_of(u,u),
inference(res,[status(thm),theory(equality)],[6,19]),
[iquote('0:Res:6.0,19.0')] ).
cnf(308,plain,
( ~ incident_c(skf19(skc5),skc4)
| end_point(skf19(skc5),skc5) ),
inference(res,[status(thm),theory(equality)],[182,79]),
[iquote('0:Res:182.0,79.0')] ).
cnf(312,plain,
~ incident_c(skf19(skc5),skc4),
inference(mrr,[status(thm)],[308,187]),
[iquote('0:MRR:308.1,187.0')] ).
cnf(322,plain,
( ~ part_of(u,v)
| incident_c(skf16(w,u),v) ),
inference(res,[status(thm),theory(equality)],[9,26]),
[iquote('0:Res:9.0,26.0')] ).
cnf(326,plain,
( ~ part_of(u,v)
| incident_c(skf19(u),v) ),
inference(res,[status(thm),theory(equality)],[182,26]),
[iquote('0:Res:182.0,26.0')] ).
cnf(342,plain,
~ part_of(skc5,skc4),
inference(res,[status(thm),theory(equality)],[326,312]),
[iquote('0:Res:326.1,312.0')] ).
cnf(346,plain,
( ~ part_of(u,v)
| ~ part_of(v,w)
| incident_c(skf16(x,u),w) ),
inference(res,[status(thm),theory(equality)],[322,26]),
[iquote('0:Res:322.1,26.0')] ).
cnf(2059,plain,
( ~ end_point(skc6,skc7)
| ~ incident_c(skc6,skc5)
| ~ part_of(skc4,skc7)
| part_of(skc4,skc5)
| part_of(skc5,skc4) ),
inference(res,[status(thm),theory(equality)],[76,66]),
[iquote('0:Res:76.0,66.0')] ).
cnf(5735,plain,
part_of(skc4,skc5),
inference(mrr,[status(thm)],[2059,3,77,1,342]),
[iquote('0:MRR:2059.0,2059.1,2059.2,2059.4,3.0,77.0,1.0,342.0')] ).
cnf(5756,plain,
( ~ part_of(skc5,u)
| incident_c(skf16(v,skc4),u) ),
inference(res,[status(thm),theory(equality)],[5735,346]),
[iquote('0:Res:5735.0,346.0')] ).
cnf(6067,plain,
( ~ part_of(skc5,skc5)
| ~ incident_c(skf16(u,skc4),skc4)
| end_point(skf16(u,skc4),skc4) ),
inference(res,[status(thm),theory(equality)],[5756,78]),
[iquote('0:Res:5756.1,78.0')] ).
cnf(6078,plain,
end_point(skf16(u,skc4),skc4),
inference(mrr,[status(thm)],[6067,282,9]),
[iquote('0:MRR:6067.0,6067.1,282.0,9.0')] ).
cnf(6124,plain,
( ~ incident_c(u,skc4)
| ~ incident_c(u,skc4)
| ~ end_point(skf16(skc4,skc4),skc4)
| meet(u,skc4,skc4) ),
inference(res,[status(thm),theory(equality)],[6078,44]),
[iquote('0:Res:6078.0,44.2')] ).
cnf(6125,plain,
( ~ incident_c(u,skc4)
| ~ end_point(skf16(skc4,skc4),skc4)
| meet(u,skc4,skc4) ),
inference(obv,[status(thm),theory(equality)],[6124]),
[iquote('0:Obv:6124.0')] ).
cnf(6126,plain,
( ~ incident_c(u,skc4)
| meet(u,skc4,skc4) ),
inference(mrr,[status(thm)],[6125,6078]),
[iquote('0:MRR:6125.1,6078.0')] ).
cnf(6147,plain,
( ~ incident_c(u,skc4)
| ~ incident_c(v,skc4)
| ~ incident_c(v,skc4)
| end_point(v,skc4) ),
inference(res,[status(thm),theory(equality)],[6126,36]),
[iquote('0:Res:6126.1,36.2')] ).
cnf(6149,plain,
( ~ incident_c(u,skc4)
| ~ incident_c(v,skc4)
| end_point(v,skc4) ),
inference(obv,[status(thm),theory(equality)],[6147]),
[iquote('0:Obv:6147.1')] ).
cnf(6150,plain,
( ~ incident_c(u,skc4)
| end_point(u,skc4) ),
inference(con,[status(thm)],[6149]),
[iquote('0:Con:6149.0')] ).
cnf(6201,plain,
end_point(skf19(skc4),skc4),
inference(res,[status(thm),theory(equality)],[182,6150]),
[iquote('0:Res:182.0,6150.0')] ).
cnf(6298,plain,
$false,
inference(mrr,[status(thm)],[6201,187]),
[iquote('0:MRR:6201.0,187.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : GEO094+1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.15 % Command : run_spass %d %s
% 0.14/0.36 % Computer : n020.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Fri Jun 17 16:09:34 EDT 2022
% 0.14/0.37 % CPUTime :
% 3.30/3.47
% 3.30/3.47 SPASS V 3.9
% 3.30/3.47 SPASS beiseite: Proof found.
% 3.30/3.47 % SZS status Theorem
% 3.30/3.47 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.30/3.47 SPASS derived 5845 clauses, backtracked 341 clauses, performed 8 splits and kept 4436 clauses.
% 3.30/3.47 SPASS allocated 104914 KBytes.
% 3.30/3.47 SPASS spent 0:00:03.03 on the problem.
% 3.30/3.47 0:00:00.03 for the input.
% 3.30/3.47 0:00:00.06 for the FLOTTER CNF translation.
% 3.30/3.47 0:00:00.08 for inferences.
% 3.30/3.47 0:00:00.05 for the backtracking.
% 3.30/3.47 0:00:02.74 for the reduction.
% 3.30/3.47
% 3.30/3.47
% 3.30/3.47 Here is a proof with depth 7, length 44 :
% 3.30/3.47 % SZS output start Refutation
% See solution above
% 3.30/3.47 Formulae used in the proof : proposition_2_14_3 c3 part_of_defn inner_point_defn meet_defn end_point_defn
% 3.30/3.47
%------------------------------------------------------------------------------