TSTP Solution File: GEO282+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO282+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n003.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 06:24:08 EDT 2022
% Result : Theorem 1.76s 1.96s
% Output : Refutation 1.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 17
% Syntax : Number of clauses : 41 ( 26 unt; 0 nHn; 41 RR)
% Number of literals : 79 ( 0 equ; 40 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('GEO282+1.p',unknown),
[] ).
cnf(4,axiom,
rpoint(vd1128),
file('GEO282+1.p',unknown),
[] ).
cnf(5,axiom,
rpoint(vd1126),
file('GEO282+1.p',unknown),
[] ).
cnf(9,axiom,
rinside(vd1125,vd1146),
file('GEO282+1.p',unknown),
[] ).
cnf(10,axiom,
ron(vd1129,vd1146),
file('GEO282+1.p',unknown),
[] ).
cnf(11,axiom,
rcenter(vd1123,vd1146),
file('GEO282+1.p',unknown),
[] ).
cnf(14,axiom,
equal(vd1123,vd1127),
file('GEO282+1.p',unknown),
[] ).
cnf(15,axiom,
equal(vd1129,vd1130),
file('GEO282+1.p',unknown),
[] ).
cnf(16,axiom,
equal(vd1127,vd1128),
file('GEO282+1.p',unknown),
[] ).
cnf(17,axiom,
equal(vd1126,vd1125),
file('GEO282+1.p',unknown),
[] ).
cnf(18,axiom,
equal(vd1123,vd1124),
file('GEO282+1.p',unknown),
[] ).
cnf(59,axiom,
rless(vf(vd1127,vd1129),vf(vd1123,vd1125)),
file('GEO282+1.p',unknown),
[] ).
cnf(60,axiom,
( ~ rreal(u)
| ~ rless(u,u) ),
file('GEO282+1.p',unknown),
[] ).
cnf(91,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| rreal(vf(v,u)) ),
file('GEO282+1.p',unknown),
[] ).
cnf(106,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| equal(vf(v,u),vf(u,v)) ),
file('GEO282+1.p',unknown),
[] ).
cnf(144,axiom,
( ~ rreal(u)
| ~ rreal(v)
| ~ rless(v,u)
| ~ rless(u,v)
| equal(v,u) ),
file('GEO282+1.p',unknown),
[] ).
cnf(184,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ rcenter(w,x)
| ~ ron(u,x)
| ~ rinside(v,x)
| rless(vf(w,v),vf(w,u)) ),
file('GEO282+1.p',unknown),
[] ).
cnf(266,plain,
rpoint(vd1125),
inference(rew,[status(thm),theory(equality)],[17,5]),
[iquote('0:Rew:17.0,5.0')] ).
cnf(267,plain,
equal(vd1124,vd1128),
inference(rew,[status(thm),theory(equality)],[18,14,16]),
[iquote('0:Rew:18.0,14.0,16.0,14.0')] ).
cnf(269,plain,
equal(vd1123,vd1128),
inference(rew,[status(thm),theory(equality)],[267,18]),
[iquote('0:Rew:267.0,18.0')] ).
cnf(270,plain,
ron(vd1130,vd1146),
inference(rew,[status(thm),theory(equality)],[15,10]),
[iquote('0:Rew:15.0,10.0')] ).
cnf(272,plain,
rcenter(vd1128,vd1146),
inference(rew,[status(thm),theory(equality)],[269,11]),
[iquote('0:Rew:269.0,11.0')] ).
cnf(275,plain,
rless(vf(vd1128,vd1130),vf(vd1128,vd1125)),
inference(rew,[status(thm),theory(equality)],[16,59,15,269]),
[iquote('0:Rew:16.0,59.0,15.0,59.0,269.0,59.0')] ).
cnf(332,plain,
( ~ rpoint(vd1125)
| ~ rpoint(u)
| ~ ron(u,vd1146)
| ~ rcenter(v,vd1146)
| rless(vf(v,vd1125),vf(v,u)) ),
inference(res,[status(thm),theory(equality)],[9,184]),
[iquote('0:Res:9.0,184.2')] ).
cnf(340,plain,
( ~ rpoint(u)
| ~ rcenter(v,vd1146)
| ~ ron(u,vd1146)
| rless(vf(v,vd1125),vf(v,u)) ),
inference(mrr,[status(thm)],[332,266]),
[iquote('0:MRR:332.0,266.0')] ).
cnf(387,plain,
( ~ rpoint(vd1125)
| ~ rpoint(vd1128)
| rless(vf(vd1128,vd1130),vf(vd1125,vd1128)) ),
inference(spr,[status(thm),theory(equality)],[106,275]),
[iquote('0:SpR:106.2,275.0')] ).
cnf(399,plain,
rless(vf(vd1128,vd1130),vf(vd1125,vd1128)),
inference(ssi,[status(thm)],[387,4,266]),
[iquote('0:SSi:387.1,387.0,4.0,266.0')] ).
cnf(405,plain,
( ~ rpoint(vd1130)
| ~ rpoint(vd1128)
| rless(vf(vd1130,vd1128),vf(vd1125,vd1128)) ),
inference(spr,[status(thm),theory(equality)],[106,399]),
[iquote('0:SpR:106.2,399.0')] ).
cnf(407,plain,
rless(vf(vd1130,vd1128),vf(vd1125,vd1128)),
inference(ssi,[status(thm)],[405,4,3]),
[iquote('0:SSi:405.1,405.0,4.0,3.0')] ).
cnf(613,plain,
( ~ rreal(vf(vd1128,vd1125))
| ~ rreal(vf(vd1128,vd1130))
| ~ rless(vf(vd1128,vd1125),vf(vd1128,vd1130))
| equal(vf(vd1128,vd1130),vf(vd1128,vd1125)) ),
inference(res,[status(thm),theory(equality)],[275,144]),
[iquote('0:Res:275.0,144.2')] ).
cnf(622,plain,
( ~ rless(vf(vd1128,vd1125),vf(vd1128,vd1130))
| equal(vf(vd1128,vd1130),vf(vd1128,vd1125)) ),
inference(ssi,[status(thm)],[613,91,4,3,266]),
[iquote('0:SSi:613.1,613.0,91.0,4.0,3.2,91.0,4.0,266.2')] ).
cnf(669,plain,
( ~ rpoint(vd1130)
| ~ rcenter(vd1128,vd1146)
| ~ ron(vd1130,vd1146)
| equal(vf(vd1128,vd1130),vf(vd1128,vd1125)) ),
inference(res,[status(thm),theory(equality)],[340,622]),
[iquote('0:Res:340.3,622.0')] ).
cnf(672,plain,
( ~ rcenter(vd1128,vd1146)
| ~ ron(vd1130,vd1146)
| equal(vf(vd1128,vd1130),vf(vd1128,vd1125)) ),
inference(ssi,[status(thm)],[669,3]),
[iquote('0:SSi:669.0,3.0')] ).
cnf(673,plain,
equal(vf(vd1128,vd1130),vf(vd1128,vd1125)),
inference(mrr,[status(thm)],[672,272,270]),
[iquote('0:MRR:672.0,672.1,272.0,270.0')] ).
cnf(690,plain,
( ~ rpoint(vd1130)
| ~ rpoint(vd1128)
| equal(vf(vd1128,vd1125),vf(vd1130,vd1128)) ),
inference(spr,[status(thm),theory(equality)],[673,106]),
[iquote('0:SpR:673.0,106.2')] ).
cnf(697,plain,
equal(vf(vd1128,vd1125),vf(vd1130,vd1128)),
inference(ssi,[status(thm)],[690,4,3]),
[iquote('0:SSi:690.1,690.0,4.0,3.0')] ).
cnf(712,plain,
( ~ rpoint(vd1125)
| ~ rpoint(vd1128)
| equal(vf(vd1130,vd1128),vf(vd1125,vd1128)) ),
inference(spr,[status(thm),theory(equality)],[697,106]),
[iquote('0:SpR:697.0,106.2')] ).
cnf(719,plain,
equal(vf(vd1130,vd1128),vf(vd1125,vd1128)),
inference(ssi,[status(thm)],[712,4,266]),
[iquote('0:SSi:712.1,712.0,4.0,266.0')] ).
cnf(720,plain,
rless(vf(vd1125,vd1128),vf(vd1125,vd1128)),
inference(rew,[status(thm),theory(equality)],[719,407]),
[iquote('0:Rew:719.0,407.0')] ).
cnf(742,plain,
~ rreal(vf(vd1125,vd1128)),
inference(res,[status(thm),theory(equality)],[720,60]),
[iquote('0:Res:720.0,60.1')] ).
cnf(744,plain,
$false,
inference(ssi,[status(thm)],[742,91,266,4]),
[iquote('0:SSi:742.0,91.0,266.0,4.2')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO282+1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 14:16:28 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.76/1.96
% 1.76/1.96 SPASS V 3.9
% 1.76/1.96 SPASS beiseite: Proof found.
% 1.76/1.96 % SZS status Theorem
% 1.76/1.96 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.76/1.96 SPASS derived 295 clauses, backtracked 0 clauses, performed 0 splits and kept 350 clauses.
% 1.76/1.96 SPASS allocated 109073 KBytes.
% 1.76/1.96 SPASS spent 0:00:01.62 on the problem.
% 1.76/1.96 0:00:00.04 for the input.
% 1.76/1.96 0:00:01.40 for the FLOTTER CNF translation.
% 1.76/1.96 0:00:00.00 for inferences.
% 1.76/1.96 0:00:00.00 for the backtracking.
% 1.76/1.96 0:00:00.13 for the reduction.
% 1.76/1.96
% 1.76/1.96
% 1.76/1.96 Here is a proof with depth 4, length 41 :
% 1.76/1.96 % SZS output start Refutation
% See solution above
% 1.76/1.96 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_254_a41__a41_ and_a40_and_a40_pred_a40_comma_conjunct2_a40_comma_conjunct2_a40_comma_conjunct2_a40_253_a41__a41__a41__a44__a32_0_a41__a44__a32_and_a40_pred_a40_comma_conjunct1_a40_comma_conjunct2_a40_comma_conjunct2_a40_253_a41__a41__a41__a44__a32_0_a41__a44__a32_and_a40_pred_a40_comma_conjunct2_a40_comma_conjunct2_a40_253_a41__a41__a44__a32_0_a41__a44__a32_pred_a40_comma_conjunct1_a40_comma_conjunct2_a40_253_a41__a41__a44__a32_0_a41__a41__a41__a41__a44__a32_pred_a40_comma_conjunct1_a40_253_a41__a44__a32_0_a41__a41_ holds_a40_252_a44__a32_1144_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_
% 1.76/1.96
%------------------------------------------------------------------------------