TSTP Solution File: GEO280+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO280+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n026.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 1.82s 2.00s
% Output : Refutation 1.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of clauses : 27 ( 17 unt; 0 nHn; 27 RR)
% Number of literals : 55 ( 0 equ; 30 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 12 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
rpoint(vd1136),
file('GEO280+1.p',unknown),
[] ).
cnf(6,axiom,
rpoint(vd1126),
file('GEO280+1.p',unknown),
[] ).
cnf(7,axiom,
rpoint(vd1124),
file('GEO280+1.p',unknown),
[] ).
cnf(10,axiom,
rinside(vd1125,vd1139),
file('GEO280+1.p',unknown),
[] ).
cnf(11,axiom,
ron(vd1136,vd1139),
file('GEO280+1.p',unknown),
[] ).
cnf(12,axiom,
rcenter(vd1123,vd1139),
file('GEO280+1.p',unknown),
[] ).
cnf(17,axiom,
equal(vd1126,vd1125),
file('GEO280+1.p',unknown),
[] ).
cnf(18,axiom,
equal(vd1124,vd1123),
file('GEO280+1.p',unknown),
[] ).
cnf(61,axiom,
equal(vf(vd1127,vd1129),vf(vd1123,vd1136)),
file('GEO280+1.p',unknown),
[] ).
cnf(62,axiom,
rless(vf(vd1127,vd1129),vf(vd1123,vd1125)),
file('GEO280+1.p',unknown),
[] ).
cnf(63,axiom,
( ~ rreal(u)
| ~ rless(u,u) ),
file('GEO280+1.p',unknown),
[] ).
cnf(81,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| rreal(vf(v,u)) ),
file('GEO280+1.p',unknown),
[] ).
cnf(131,axiom,
( ~ rreal(u)
| ~ rreal(v)
| ~ rless(v,u)
| ~ rless(u,v)
| equal(v,u) ),
file('GEO280+1.p',unknown),
[] ).
cnf(170,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ rcenter(w,x)
| ~ ron(u,x)
| ~ rinside(v,x)
| rless(vf(w,v),vf(w,u)) ),
file('GEO280+1.p',unknown),
[] ).
cnf(253,plain,
rpoint(vd1123),
inference(rew,[status(thm),theory(equality)],[18,7]),
[iquote('0:Rew:18.0,7.0')] ).
cnf(254,plain,
rpoint(vd1125),
inference(rew,[status(thm),theory(equality)],[17,6]),
[iquote('0:Rew:17.0,6.0')] ).
cnf(257,plain,
rless(vf(vd1123,vd1136),vf(vd1123,vd1125)),
inference(rew,[status(thm),theory(equality)],[61,62]),
[iquote('0:Rew:61.0,62.0')] ).
cnf(298,plain,
( ~ rpoint(vd1125)
| ~ rpoint(u)
| ~ ron(u,vd1139)
| ~ rcenter(v,vd1139)
| rless(vf(v,vd1125),vf(v,u)) ),
inference(res,[status(thm),theory(equality)],[10,170]),
[iquote('0:Res:10.0,170.2')] ).
cnf(306,plain,
( ~ rpoint(u)
| ~ rcenter(v,vd1139)
| ~ ron(u,vd1139)
| rless(vf(v,vd1125),vf(v,u)) ),
inference(mrr,[status(thm)],[298,254]),
[iquote('0:MRR:298.0,254.0')] ).
cnf(610,plain,
( ~ rreal(vf(vd1123,vd1125))
| ~ rreal(vf(vd1123,vd1136))
| ~ rless(vf(vd1123,vd1125),vf(vd1123,vd1136))
| equal(vf(vd1123,vd1136),vf(vd1123,vd1125)) ),
inference(res,[status(thm),theory(equality)],[257,131]),
[iquote('0:Res:257.0,131.2')] ).
cnf(619,plain,
( ~ rless(vf(vd1123,vd1125),vf(vd1123,vd1136))
| equal(vf(vd1123,vd1136),vf(vd1123,vd1125)) ),
inference(ssi,[status(thm)],[610,81,253,3,254]),
[iquote('0:SSi:610.1,610.0,81.0,253.0,3.2,81.0,253.0,254.2')] ).
cnf(669,plain,
( ~ rpoint(vd1136)
| ~ rcenter(vd1123,vd1139)
| ~ ron(vd1136,vd1139)
| equal(vf(vd1123,vd1136),vf(vd1123,vd1125)) ),
inference(res,[status(thm),theory(equality)],[306,619]),
[iquote('0:Res:306.3,619.0')] ).
cnf(673,plain,
( ~ rcenter(vd1123,vd1139)
| ~ ron(vd1136,vd1139)
| equal(vf(vd1123,vd1136),vf(vd1123,vd1125)) ),
inference(ssi,[status(thm)],[669,3]),
[iquote('0:SSi:669.0,3.0')] ).
cnf(674,plain,
equal(vf(vd1123,vd1136),vf(vd1123,vd1125)),
inference(mrr,[status(thm)],[673,12,11]),
[iquote('0:MRR:673.0,673.1,12.0,11.0')] ).
cnf(676,plain,
rless(vf(vd1123,vd1125),vf(vd1123,vd1125)),
inference(rew,[status(thm),theory(equality)],[674,257]),
[iquote('0:Rew:674.0,257.0')] ).
cnf(718,plain,
~ rreal(vf(vd1123,vd1125)),
inference(res,[status(thm),theory(equality)],[676,63]),
[iquote('0:Res:676.0,63.1')] ).
cnf(720,plain,
$false,
inference(ssi,[status(thm)],[718,81,253,254]),
[iquote('0:SSi:718.0,81.0,253.0,254.2')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO280+1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n026.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 : Fri Jun 17 16:56:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.82/2.00
% 1.82/2.00 SPASS V 3.9
% 1.82/2.00 SPASS beiseite: Proof found.
% 1.82/2.00 % SZS status Theorem
% 1.82/2.00 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.82/2.00 SPASS derived 302 clauses, backtracked 0 clauses, performed 0 splits and kept 356 clauses.
% 1.82/2.00 SPASS allocated 108729 KBytes.
% 1.82/2.00 SPASS spent 0:00:01.66 on the problem.
% 1.82/2.00 0:00:00.04 for the input.
% 1.82/2.00 0:00:01.43 for the FLOTTER CNF translation.
% 1.82/2.00 0:00:00.00 for inferences.
% 1.82/2.00 0:00:00.00 for the backtracking.
% 1.82/2.00 0:00:00.13 for the reduction.
% 1.82/2.00
% 1.82/2.00
% 1.82/2.00 Here is a proof with depth 2, length 27 :
% 1.82/2.00 % SZS output start Refutation
% See solution above
% 1.82/2.00 Formulae used in the proof : pred_a40_245_a44__a32_0_a41_ 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_247_a41__a41_ and_a40_and_a40_pred_a40_comma_conjunct2_a40_comma_conjunct2_a40_comma_conjunct2_a40_246_a41__a41__a41__a44__a32_0_a41__a44__a32_and_a40_pred_a40_comma_conjunct1_a40_comma_conjunct2_a40_comma_conjunct2_a40_246_a41__a41__a41__a44__a32_0_a41__a44__a32_and_a40_pred_a40_comma_conjunct2_a40_comma_conjunct2_a40_246_a41__a41__a44__a32_0_a41__a44__a32_pred_a40_comma_conjunct1_a40_comma_conjunct2_a40_246_a41__a41__a44__a32_0_a41__a41__a41__a41__a44__a32_pred_a40_comma_conjunct1_a40_246_a41__a44__a32_0_a41__a41_ holds_a40_245_a44__a32_1137_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_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_
% 1.82/2.00
%------------------------------------------------------------------------------