TSTP Solution File: GEO298+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO298+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n027.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 06:24:13 EDT 2022
% Result : Theorem 1.87s 2.11s
% Output : Refutation 1.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 23
% Syntax : Number of clauses : 47 ( 31 unt; 3 nHn; 47 RR)
% Number of literals : 111 ( 0 equ; 67 neg)
% Maximal clause size : 13 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 14 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
rpoint(vd1201),
file('GEO298+1.p',unknown),
[] ).
cnf(3,axiom,
rpoint(vd1187),
file('GEO298+1.p',unknown),
[] ).
cnf(5,axiom,
rpoint(vd1185),
file('GEO298+1.p',unknown),
[] ).
cnf(6,axiom,
rpoint(vd1180),
file('GEO298+1.p',unknown),
[] ).
cnf(8,axiom,
rpoint(vd1178),
file('GEO298+1.p',unknown),
[] ).
cnf(12,axiom,
rline(vd1232),
file('GEO298+1.p',unknown),
[] ).
cnf(18,axiom,
ron(vd1187,vd1232),
file('GEO298+1.p',unknown),
[] ).
cnf(24,axiom,
ron(vd1201,vd1232),
file('GEO298+1.p',unknown),
[] ).
cnf(25,axiom,
ron(vd1199,vd1197),
file('GEO298+1.p',unknown),
[] ).
cnf(29,axiom,
ron(vd1185,vd1232),
file('GEO298+1.p',unknown),
[] ).
cnf(30,axiom,
equal(vd1199,vd1185),
file('GEO298+1.p',unknown),
[] ).
cnf(32,axiom,
equal(v0,vd684),
file('GEO298+1.p',unknown),
[] ).
cnf(38,axiom,
~ equal(vd1187,vd1201),
file('GEO298+1.p',unknown),
[] ).
cnf(41,axiom,
~ equal(vd1180,vd1178),
file('GEO298+1.p',unknown),
[] ).
cnf(45,axiom,
~ ron(vd1187,vd1197),
file('GEO298+1.p',unknown),
[] ).
cnf(61,axiom,
~ rR(vd1201,vd1185,vd1187),
file('GEO298+1.p',unknown),
[] ).
cnf(62,axiom,
~ rR(vd1187,vd1185,vd1201),
file('GEO298+1.p',unknown),
[] ).
cnf(64,axiom,
~ rR(vd1185,vd1201,vd1187),
file('GEO298+1.p',unknown),
[] ).
cnf(84,axiom,
equal(vf(vd1199,vd1201),vf(vd1178,vd1180)),
file('GEO298+1.p',unknown),
[] ).
cnf(140,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ equal(vf(u,v),v0)
| equal(u,v) ),
file('GEO298+1.p',unknown),
[] ).
cnf(141,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ equal(u,v)
| equal(vf(u,v),v0) ),
file('GEO298+1.p',unknown),
[] ).
cnf(177,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ rpoint(w)
| ~ rR(v,w,u)
| rR(v,u,w) ),
file('GEO298+1.p',unknown),
[] ).
cnf(269,axiom,
( ~ rline(u)
| ~ rpoint(v)
| ~ rpoint(w)
| ~ rpoint(x)
| ~ ron(w,u)
| ~ ron(x,u)
| ~ ron(v,u)
| equal(w,v)
| equal(x,w)
| equal(x,v)
| rR(v,x,w)
| rR(x,w,v)
| rR(w,x,v) ),
file('GEO298+1.p',unknown),
[] ).
cnf(297,plain,
ron(vd1185,vd1197),
inference(rew,[status(thm),theory(equality)],[30,25]),
[iquote('0:Rew:30.0,25.0')] ).
cnf(306,plain,
equal(vf(vd1178,vd1180),vf(vd1185,vd1201)),
inference(rew,[status(thm),theory(equality)],[30,84]),
[iquote('0:Rew:30.0,84.0')] ).
cnf(319,plain,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ equal(v,u)
| equal(vf(v,u),vd684) ),
inference(rew,[status(thm),theory(equality)],[32,141]),
[iquote('0:Rew:32.0,141.3')] ).
cnf(320,plain,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ equal(vf(v,u),vd684)
| equal(v,u) ),
inference(rew,[status(thm),theory(equality)],[32,140]),
[iquote('0:Rew:32.0,140.2')] ).
cnf(343,plain,
( ~ rpoint(vd1201)
| ~ rpoint(vd1187)
| ~ rpoint(vd1185)
| ~ rR(vd1187,vd1201,vd1185) ),
inference(res,[status(thm),theory(equality)],[177,62]),
[iquote('0:Res:177.4,62.0')] ).
cnf(357,plain,
( ~ rpoint(vd1201)
| ~ rpoint(vd1185)
| ~ rpoint(vd1187)
| ~ rline(u)
| ~ ron(vd1187,u)
| ~ ron(vd1201,u)
| ~ ron(vd1185,u)
| equal(vd1187,vd1201)
| equal(vd1185,vd1201)
| rR(vd1185,vd1201,vd1187)
| rR(vd1187,vd1201,vd1185)
| equal(vd1187,vd1185) ),
inference(res,[status(thm),theory(equality)],[269,61]),
[iquote('0:Res:269.10,61.0')] ).
cnf(364,plain,
~ rR(vd1187,vd1201,vd1185),
inference(mrr,[status(thm)],[343,1,3,5]),
[iquote('0:MRR:343.0,343.1,343.2,1.0,3.0,5.0')] ).
cnf(373,plain,
( ~ rline(u)
| ~ ron(vd1185,u)
| ~ ron(vd1201,u)
| ~ ron(vd1187,u)
| equal(vd1187,vd1185)
| equal(vd1185,vd1201) ),
inference(mrr,[status(thm)],[357,1,5,3,38,64,364]),
[iquote('0:MRR:357.0,357.1,357.2,357.7,357.9,357.10,1.0,5.0,3.0,38.0,64.0,364.0')] ).
cnf(411,plain,
equal(vd1185,vd1201),
inference(spt,[spt(split,[position(s1)])],[373]),
[iquote('1:Spt:373.5')] ).
cnf(417,plain,
equal(vf(vd1178,vd1180),vf(vd1201,vd1201)),
inference(rew,[status(thm),theory(equality)],[411,306]),
[iquote('1:Rew:411.0,306.0')] ).
cnf(600,plain,
( ~ rpoint(vd1180)
| ~ rpoint(vd1178)
| ~ equal(vf(vd1201,vd1201),vd684)
| equal(vd1180,vd1178) ),
inference(spl,[status(thm),theory(equality)],[417,320]),
[iquote('1:SpL:417.0,320.2')] ).
cnf(609,plain,
( ~ equal(vf(vd1201,vd1201),vd684)
| equal(vd1180,vd1178) ),
inference(ssi,[status(thm)],[600,8,6]),
[iquote('1:SSi:600.1,600.0,8.0,6.0')] ).
cnf(610,plain,
~ equal(vf(vd1201,vd1201),vd684),
inference(mrr,[status(thm)],[609,41]),
[iquote('1:MRR:609.1,41.0')] ).
cnf(620,plain,
( ~ rpoint(vd1201)
| ~ rpoint(vd1201)
| ~ equal(vd1201,vd1201)
| ~ equal(vd684,vd684) ),
inference(spl,[status(thm),theory(equality)],[319,610]),
[iquote('1:SpL:319.3,610.0')] ).
cnf(625,plain,
~ rpoint(vd1201),
inference(obv,[status(thm),theory(equality)],[620]),
[iquote('1:Obv:620.3')] ).
cnf(626,plain,
$false,
inference(ssi,[status(thm)],[625,1]),
[iquote('1:SSi:625.0,1.0')] ).
cnf(627,plain,
~ equal(vd1185,vd1201),
inference(spt,[spt(split,[position(sa)])],[626,411]),
[iquote('1:Spt:626.0,373.5,411.0')] ).
cnf(628,plain,
( ~ rline(u)
| ~ ron(vd1185,u)
| ~ ron(vd1201,u)
| ~ ron(vd1187,u)
| equal(vd1187,vd1185) ),
inference(spt,[spt(split,[position(s2)])],[373]),
[iquote('1:Spt:626.0,373.0,373.1,373.2,373.3,373.4')] ).
cnf(631,plain,
( ~ rline(vd1232)
| ~ ron(vd1185,vd1232)
| ~ ron(vd1201,vd1232)
| equal(vd1187,vd1185) ),
inference(res,[status(thm),theory(equality)],[18,628]),
[iquote('1:Res:18.0,628.3')] ).
cnf(635,plain,
( ~ ron(vd1185,vd1232)
| ~ ron(vd1201,vd1232)
| equal(vd1187,vd1185) ),
inference(ssi,[status(thm)],[631,12]),
[iquote('1:SSi:631.0,12.0')] ).
cnf(636,plain,
( ~ ron(vd1185,vd1232)
| equal(vd1187,vd1185) ),
inference(mrr,[status(thm)],[635,24]),
[iquote('1:MRR:635.1,24.0')] ).
cnf(637,plain,
equal(vd1187,vd1185),
inference(mrr,[status(thm)],[636,29]),
[iquote('1:MRR:636.0,29.0')] ).
cnf(644,plain,
~ ron(vd1185,vd1197),
inference(rew,[status(thm),theory(equality)],[637,45]),
[iquote('1:Rew:637.0,45.0')] ).
cnf(670,plain,
$false,
inference(mrr,[status(thm)],[644,297]),
[iquote('1:MRR:644.0,297.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO298+1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n027.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 22:58:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.87/2.11
% 1.87/2.11 SPASS V 3.9
% 1.87/2.11 SPASS beiseite: Proof found.
% 1.87/2.11 % SZS status Theorem
% 1.87/2.11 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.87/2.11 SPASS derived 214 clauses, backtracked 36 clauses, performed 7 splits and kept 415 clauses.
% 1.87/2.11 SPASS allocated 108978 KBytes.
% 1.87/2.11 SPASS spent 0:00:01.76 on the problem.
% 1.87/2.11 0:00:00.04 for the input.
% 1.87/2.11 0:00:01.46 for the FLOTTER CNF translation.
% 1.87/2.11 0:00:00.00 for inferences.
% 1.87/2.11 0:00:00.00 for the backtracking.
% 1.87/2.11 0:00:00.18 for the reduction.
% 1.87/2.11
% 1.87/2.11
% 1.87/2.11 Here is a proof with depth 3, length 47 :
% 1.87/2.11 % SZS output start Refutation
% See solution above
% 1.87/2.11 Formulae used in the proof : qe_a40_s3_a40_plural_a40_271_a41__a41__a41_ and_a40_neg_a40_neg_a40_conjunct2_a40_conjunct2_a40_conjunct2_a40_plural_a40_comma_conjunct2_a40_268_a41__a41__a41__a41__a41__a41__a41__a44__a32_and_a40_holds_a40_conjunct1_a40_conjunct2_a40_conjunct2_a40_plural_a40_comma_conjunct2_a40_268_a41__a41__a41__a41__a41__a44__a32_1194_a44__a32_0_a41__a44__a32_and_a40_holds_a40_conjunct1_a40_conjunct2_a40_plural_a40_comma_conjunct2_a40_268_a41__a41__a41__a41__a44__a32_1193_a44__a32_0_a41__a44__a32_and_a40_holds_a40_conjunct1_a40_plural_a40_comma_conjunct2_a40_268_a41__a41__a41__a44__a32_1192_a44__a32_0_a41__a44__a32_and_a40_qe_a40_s3_a40_plural_a40_comma_conjunct2_a40_268_a41__a41__a41__a41__a44__a32_and_a40_qe_a40_s2_a40_plural_a40_comma_conjunct2_a40_268_a41__a41__a41__a41__a44__a32_and_a40_qe_a40_s1_a40_plural_a40_comma_conjunct2_a40_268_a41__a41__a41__a41__a44__a32_and_a40_pred_a40_comma_conjunct1_a40_268_a41__a44__a32_9_a41__a44__a32_and_a40_pred_a40_comma_conjunct1_a40_268_a41__a44__a32_8_a41__a44__a32_and_a40_pred_a40_comma_conjunct1_a40_268_a41__a44__a32_7_a41__a44__a32_and_a40_qe_a40_s3_a40_plural_a40_268_a41__a41__a41__a44__a32_and_a40_qe_a40_s2_a40_plural_a40_268_a41__a41__a41__a44__a32_qe_a40_s1_a40_plural_a40_268_a41__a41__a41__a41__a41__a41__a41__a41__a41__a41__a41__a41__a41__a41__a41_ pred_a40_293_a44__a32_0_a41_ pred_a40_s2_a40_plural_a40_293_a41__a41__a44__a32_0_a41_ pred_a40_313_a44__a32_0_a41_ pred_a40_s1_a40_plural_a40_274_a41__a41__a44__a32_0_a41_ pred_a40_s1_a40_plural_a40_293_a41__a41__a44__a32_0_a41_ holds_a40_291_a44__a32_1230_a44__a32_0_a41_ pred_a40_axiom_a40_137_a41__a44__a32_2_a41_ holds_a40_320_a44__a32_1251_a44__a32_0_a41_ neg_a40_neg_a40_270_a41__a41_ dis_a40_321_a41_ neg_a40_316_a41_ holds_a40_conjunct2_a40_conjunct2_a40_conjunct2_a40_conjunct2_a40_conjunct2_a40_plural_a40_271_a41__a41__a41__a41__a41__a41__a44__a32_1211_a44__a32_0_a41_ qu_a40_cond_a40_axiom_a40_162_a41__a44__a32_0_a41__a44__a32_imp_a40_cond_a40_axiom_a40_162_a41__a44__a32_0_a41__a41__a41_ qu_a40_cond_a40_axiom_a40_81_a41__a44__a32_0_a41__a44__a32_imp_a40_cond_a40_axiom_a40_81_a41__a44__a32_0_a41__a41__a41_ qu_a40_cond_a40_axiom_a40_91_a41__a44__a32_0_a41__a44__a32_imp_a40_cond_a40_axiom_a40_91_a41__a44__a32_0_a41__a41__a41_
% 1.87/2.11
%------------------------------------------------------------------------------