TSTP Solution File: GEO285+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO285+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n007.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 06:24:09 EDT 2022
% Result : Theorem 1.95s 2.15s
% Output : Refutation 1.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 17
% Syntax : Number of clauses : 35 ( 23 unt; 0 nHn; 35 RR)
% Number of literals : 67 ( 0 equ; 34 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 13 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
rpoint(vd1130),
file('GEO285+1.p',unknown),
[] ).
cnf(4,axiom,
rpoint(vd1128),
file('GEO285+1.p',unknown),
[] ).
cnf(5,axiom,
rpoint(vd1126),
file('GEO285+1.p',unknown),
[] ).
cnf(9,axiom,
rinside(vd1125,vd1152),
file('GEO285+1.p',unknown),
[] ).
cnf(10,axiom,
ron(vd1127,vd1152),
file('GEO285+1.p',unknown),
[] ).
cnf(11,axiom,
rcenter(vd1123,vd1152),
file('GEO285+1.p',unknown),
[] ).
cnf(14,axiom,
equal(vd1123,vd1129),
file('GEO285+1.p',unknown),
[] ).
cnf(15,axiom,
equal(vd1129,vd1130),
file('GEO285+1.p',unknown),
[] ).
cnf(16,axiom,
equal(vd1127,vd1128),
file('GEO285+1.p',unknown),
[] ).
cnf(17,axiom,
equal(vd1126,vd1125),
file('GEO285+1.p',unknown),
[] ).
cnf(18,axiom,
equal(vd1123,vd1124),
file('GEO285+1.p',unknown),
[] ).
cnf(68,axiom,
rless(vf(vd1127,vd1129),vf(vd1123,vd1125)),
file('GEO285+1.p',unknown),
[] ).
cnf(69,axiom,
( ~ rreal(u)
| ~ rless(u,u) ),
file('GEO285+1.p',unknown),
[] ).
cnf(103,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| rreal(vf(v,u)) ),
file('GEO285+1.p',unknown),
[] ).
cnf(119,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| equal(vf(v,u),vf(u,v)) ),
file('GEO285+1.p',unknown),
[] ).
cnf(157,axiom,
( ~ rreal(u)
| ~ rreal(v)
| ~ rless(v,u)
| ~ rless(u,v)
| equal(v,u) ),
file('GEO285+1.p',unknown),
[] ).
cnf(197,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ rcenter(w,x)
| ~ ron(u,x)
| ~ rinside(v,x)
| rless(vf(w,v),vf(w,u)) ),
file('GEO285+1.p',unknown),
[] ).
cnf(279,plain,
rpoint(vd1125),
inference(rew,[status(thm),theory(equality)],[17,5]),
[iquote('0:Rew:17.0,5.0')] ).
cnf(280,plain,
equal(vd1124,vd1130),
inference(rew,[status(thm),theory(equality)],[18,14,15]),
[iquote('0:Rew:18.0,14.0,15.0,14.0')] ).
cnf(282,plain,
equal(vd1123,vd1130),
inference(rew,[status(thm),theory(equality)],[280,18]),
[iquote('0:Rew:280.0,18.0')] ).
cnf(283,plain,
ron(vd1128,vd1152),
inference(rew,[status(thm),theory(equality)],[16,10]),
[iquote('0:Rew:16.0,10.0')] ).
cnf(285,plain,
rcenter(vd1130,vd1152),
inference(rew,[status(thm),theory(equality)],[282,11]),
[iquote('0:Rew:282.0,11.0')] ).
cnf(291,plain,
rless(vf(vd1128,vd1130),vf(vd1130,vd1125)),
inference(rew,[status(thm),theory(equality)],[16,68,15,282]),
[iquote('0:Rew:16.0,68.0,15.0,68.0,282.0,68.0')] ).
cnf(351,plain,
( ~ rpoint(vd1125)
| ~ rpoint(u)
| ~ ron(u,vd1152)
| ~ rcenter(v,vd1152)
| rless(vf(v,vd1125),vf(v,u)) ),
inference(res,[status(thm),theory(equality)],[9,197]),
[iquote('0:Res:9.0,197.2')] ).
cnf(366,plain,
( ~ rpoint(u)
| ~ rcenter(v,vd1152)
| ~ ron(u,vd1152)
| rless(vf(v,vd1125),vf(v,u)) ),
inference(mrr,[status(thm)],[351,279]),
[iquote('0:MRR:351.0,279.0')] ).
cnf(414,plain,
( ~ rpoint(vd1130)
| ~ rpoint(vd1128)
| rless(vf(vd1130,vd1128),vf(vd1130,vd1125)) ),
inference(spr,[status(thm),theory(equality)],[119,291]),
[iquote('0:SpR:119.2,291.0')] ).
cnf(426,plain,
rless(vf(vd1130,vd1128),vf(vd1130,vd1125)),
inference(ssi,[status(thm)],[414,4,3]),
[iquote('0:SSi:414.1,414.0,4.0,3.0')] ).
cnf(641,plain,
( ~ rreal(vf(vd1130,vd1125))
| ~ rreal(vf(vd1130,vd1128))
| ~ rless(vf(vd1130,vd1125),vf(vd1130,vd1128))
| equal(vf(vd1130,vd1128),vf(vd1130,vd1125)) ),
inference(res,[status(thm),theory(equality)],[426,157]),
[iquote('0:Res:426.0,157.2')] ).
cnf(646,plain,
( ~ rless(vf(vd1130,vd1125),vf(vd1130,vd1128))
| equal(vf(vd1130,vd1128),vf(vd1130,vd1125)) ),
inference(ssi,[status(thm)],[641,103,3,4,279]),
[iquote('0:SSi:641.1,641.0,103.0,3.0,4.2,103.0,3.0,279.2')] ).
cnf(691,plain,
( ~ rpoint(vd1128)
| ~ rcenter(vd1130,vd1152)
| ~ ron(vd1128,vd1152)
| equal(vf(vd1130,vd1128),vf(vd1130,vd1125)) ),
inference(res,[status(thm),theory(equality)],[366,646]),
[iquote('0:Res:366.3,646.0')] ).
cnf(694,plain,
( ~ rcenter(vd1130,vd1152)
| ~ ron(vd1128,vd1152)
| equal(vf(vd1130,vd1128),vf(vd1130,vd1125)) ),
inference(ssi,[status(thm)],[691,4]),
[iquote('0:SSi:691.0,4.0')] ).
cnf(695,plain,
equal(vf(vd1130,vd1128),vf(vd1130,vd1125)),
inference(mrr,[status(thm)],[694,285,283]),
[iquote('0:MRR:694.0,694.1,285.0,283.0')] ).
cnf(696,plain,
rless(vf(vd1130,vd1125),vf(vd1130,vd1125)),
inference(rew,[status(thm),theory(equality)],[695,426]),
[iquote('0:Rew:695.0,426.0')] ).
cnf(738,plain,
~ rreal(vf(vd1130,vd1125)),
inference(res,[status(thm),theory(equality)],[696,69]),
[iquote('0:Res:696.0,69.1')] ).
cnf(740,plain,
$false,
inference(ssi,[status(thm)],[738,103,3,279]),
[iquote('0:SSi:738.0,103.0,3.0,279.2')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GEO285+1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.14 % Command : run_spass %d %s
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jun 18 12:38:28 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.95/2.15
% 1.95/2.15 SPASS V 3.9
% 1.95/2.15 SPASS beiseite: Proof found.
% 1.95/2.15 % SZS status Theorem
% 1.95/2.15 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.95/2.15 SPASS derived 272 clauses, backtracked 0 clauses, performed 0 splits and kept 341 clauses.
% 1.95/2.15 SPASS allocated 108861 KBytes.
% 1.95/2.15 SPASS spent 0:00:01.78 on the problem.
% 1.95/2.15 0:00:00.04 for the input.
% 1.95/2.15 0:00:01.54 for the FLOTTER CNF translation.
% 1.95/2.15 0:00:00.01 for inferences.
% 1.95/2.15 0:00:00.00 for the backtracking.
% 1.95/2.15 0:00:00.14 for the reduction.
% 1.95/2.15
% 1.95/2.15
% 1.95/2.15 Here is a proof with depth 3, length 35 :
% 1.95/2.15 % SZS output start Refutation
% See solution above
% 1.95/2.15 Formulae used in the proof : and_a40_and_a40_and_a40_and_a40_holds_a40_conjunct2_a40_conjunct2_a40_conjunct2_a40_conjunct2_a40_conjunct2_a40_conjunct2_a40_242_a41__a41__a41__a41__a41__a41__a44__a32_1133_a44__a32_0_a41__a44__a32_and_a40_holds_a40_conjunct1_a40_conjunct2_a40_conjunct2_a40_conjunct2_a40_conjunct2_a40_conjunct2_a40_242_a41__a41__a41__a41__a41__a41__a44__a32_1132_a44__a32_0_a41__a44__a32_and_a40_holds_a40_conjunct1_a40_conjunct2_a40_conjunct2_a40_conjunct2_a40_conjunct2_a40_242_a41__a41__a41__a41__a41__a44__a32_1131_a44__a32_0_a41__a44__a32_and_a40_pred_a40_conjunct1_a40_conjunct2_a40_conjunct2_a40_conjunct2_a40_242_a41__a41__a41__a41__a44__a32_2_a41__a44__a32_pred_a40_conjunct1_a40_conjunct2_a40_conjunct2_a40_conjunct2_a40_242_a41__a41__a41__a41__a44__a32_1_a41__a41__a41__a41__a41__a44__a32_and_a40_pred_a40_conjunct1_a40_conjunct2_a40_conjunct2_a40_242_a41__a41__a41__a44__a32_2_a41__a44__a32_pred_a40_conjunct1_a40_conjunct2_a40_conjunct2_a40_242_a41__a41__a41__a44__a32_1_a41__a41__a41__a44__a32_and_a40_pred_a40_conjunct1_a40_conjunct2_a40_242_a41__a41__a44__a32_2_a41__a44__a32_pred_a40_conjunct1_a40_conjunct2_a40_242_a41__a41__a44__a32_1_a41__a41__a41__a44__a32_and_a40_pred_a40_conjunct1_a40_242_a41__a44__a32_2_a41__a44__a32_pred_a40_conjunct1_a40_242_a41__a44__a32_1_a41__a41__a41_ neg_a40_neg_a40_260_a41__a41_ and_a40_and_a40_pred_a40_comma_conjunct2_a40_comma_conjunct2_a40_comma_conjunct2_a40_259_a41__a41__a41__a44__a32_0_a41__a44__a32_and_a40_pred_a40_comma_conjunct1_a40_comma_conjunct2_a40_comma_conjunct2_a40_259_a41__a41__a41__a44__a32_0_a41__a44__a32_and_a40_pred_a40_comma_conjunct2_a40_comma_conjunct2_a40_259_a41__a41__a44__a32_0_a41__a44__a32_pred_a40_comma_conjunct1_a40_comma_conjunct2_a40_259_a41__a41__a44__a32_0_a41__a41__a41__a41__a44__a32_pred_a40_comma_conjunct1_a40_259_a41__a44__a32_0_a41__a41_ holds_a40_258_a44__a32_1150_a44__a32_0_a41_ qu_a40_cond_a40_axiom_a40_149_a41__a44__a32_0_a41__a44__a32_imp_a40_cond_a40_axiom_a40_149_a41__a44__a32_0_a41__a41__a41_ qu_a40_cond_a40_axiom_a40_160_a41__a44__a32_0_a41__a44__a32_imp_a40_cond_a40_axiom_a40_160_a41__a44__a32_0_a41__a41__a41_ qu_a40_cond_a40_axiom_a40_166_a41__a44__a32_0_a41__a44__a32_imp_a40_cond_a40_axiom_a40_166_a41__a44__a32_0_a41__a41__a41_ qu_a40_cond_a40_axiom_a40_147_a41__a44__a32_0_a41__a44__a32_imp_a40_cond_a40_axiom_a40_147_a41__a44__a32_0_a41__a41__a41_ qu_a40_cond_a40_axiom_a40_186_a41__a44__a32_0_a41__a44__a32_imp_a40_cond_a40_axiom_a40_186_a41__a44__a32_0_a41__a41__a41_
% 1.95/2.15
%------------------------------------------------------------------------------