%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO290+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n008.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 06:24:11 EDT 2022
% Result : Theorem 2.11s 2.30s
% Output : Refutation 2.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 22
% Syntax : Number of clauses : 52 ( 33 unt; 3 nHn; 52 RR)
% Number of literals : 120 ( 0 equ; 68 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 : 14 ( 14 usr; 13 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
rline(vd1197),
file('GEO290+1.p',unknown),
[] ).
cnf(4,axiom,
rpoint(vd1199),
file('GEO290+1.p',unknown),
[] ).
cnf(6,axiom,
rpoint(vd1186),
file('GEO290+1.p',unknown),
[] ).
cnf(7,axiom,
rpoint(vd1185),
file('GEO290+1.p',unknown),
[] ).
cnf(9,axiom,
rpoint(vd1179),
file('GEO290+1.p',unknown),
[] ).
cnf(10,axiom,
rpoint(vd1178),
file('GEO290+1.p',unknown),
[] ).
cnf(15,axiom,
ron(vd1185,vd1197),
file('GEO290+1.p',unknown),
[] ).
cnf(17,axiom,
equal(vd1200,vd1186),
file('GEO290+1.p',unknown),
[] ).
cnf(18,axiom,
ron(vd1186,vd1197),
file('GEO290+1.p',unknown),
[] ).
cnf(20,axiom,
ron(vd1199,vd1197),
file('GEO290+1.p',unknown),
[] ).
cnf(22,axiom,
equal(v0,vd684),
file('GEO290+1.p',unknown),
[] ).
cnf(27,axiom,
~ equal(vd1185,vd1199),
file('GEO290+1.p',unknown),
[] ).
cnf(32,axiom,
~ equal(vd1179,vd1178),
file('GEO290+1.p',unknown),
[] ).
cnf(49,axiom,
~ rR(vd1199,vd1185,vd1186),
file('GEO290+1.p',unknown),
[] ).
cnf(50,axiom,
~ rR(vd1185,vd1199,vd1186),
file('GEO290+1.p',unknown),
[] ).
cnf(51,axiom,
~ rR(vd1186,vd1199,vd1185),
file('GEO290+1.p',unknown),
[] ).
cnf(71,axiom,
equal(vf(vd1178,vd1179),vf(vd1199,vd1200)),
file('GEO290+1.p',unknown),
[] ).
cnf(73,axiom,
equal(vf(vd1178,vd1179),vf(vd1185,vd1186)),
file('GEO290+1.p',unknown),
[] ).
cnf(106,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| equal(vf(v,u),vf(u,v)) ),
file('GEO290+1.p',unknown),
[] ).
cnf(117,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ equal(vf(u,v),v0)
| equal(u,v) ),
file('GEO290+1.p',unknown),
[] ).
cnf(118,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ equal(u,v)
| equal(vf(u,v),v0) ),
file('GEO290+1.p',unknown),
[] ).
cnf(246,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('GEO290+1.p',unknown),
[] ).
cnf(274,plain,
equal(vf(vd1185,vd1186),vf(vd1199,vd1186)),
inference(rew,[status(thm),theory(equality)],[73,71,17]),
[iquote('0:Rew:73.0,71.0,17.0,71.0')] ).
cnf(275,plain,
equal(vf(vd1178,vd1179),vf(vd1199,vd1186)),
inference(rew,[status(thm),theory(equality)],[274,73]),
[iquote('0:Rew:274.0,73.0')] ).
cnf(290,plain,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ equal(v,u)
| equal(vf(v,u),vd684) ),
inference(rew,[status(thm),theory(equality)],[22,118]),
[iquote('0:Rew:22.0,118.3')] ).
cnf(291,plain,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ equal(vf(v,u),vd684)
| equal(v,u) ),
inference(rew,[status(thm),theory(equality)],[22,117]),
[iquote('0:Rew:22.0,117.2')] ).
cnf(328,plain,
( ~ rpoint(vd1199)
| ~ rpoint(vd1185)
| ~ rpoint(vd1186)
| ~ rline(u)
| ~ ron(vd1186,u)
| ~ ron(vd1199,u)
| ~ ron(vd1185,u)
| equal(vd1186,vd1199)
| equal(vd1185,vd1199)
| rR(vd1185,vd1199,vd1186)
| rR(vd1186,vd1199,vd1185)
| equal(vd1186,vd1185) ),
inference(res,[status(thm),theory(equality)],[246,49]),
[iquote('0:Res:246.10,49.0')] ).
cnf(344,plain,
( ~ rline(u)
| ~ ron(vd1185,u)
| ~ ron(vd1199,u)
| ~ ron(vd1186,u)
| equal(vd1186,vd1185)
| equal(vd1186,vd1199) ),
inference(mrr,[status(thm)],[328,4,7,6,27,50,51]),
[iquote('0:MRR:328.0,328.1,328.2,328.8,328.9,328.10,4.0,7.0,6.0,27.0,50.0,51.0')] ).
cnf(380,plain,
equal(vd1186,vd1199),
inference(spt,[spt(split,[position(s1)])],[344]),
[iquote('1:Spt:344.5')] ).
cnf(401,plain,
equal(vf(vd1185,vd1199),vf(vd1199,vd1199)),
inference(rew,[status(thm),theory(equality)],[380,274]),
[iquote('1:Rew:380.0,274.0')] ).
cnf(484,plain,
( ~ rpoint(vd1199)
| ~ rpoint(vd1185)
| equal(vf(vd1199,vd1185),vf(vd1199,vd1199)) ),
inference(spr,[status(thm),theory(equality)],[106,401]),
[iquote('1:SpR:106.2,401.0')] ).
cnf(502,plain,
equal(vf(vd1199,vd1185),vf(vd1199,vd1199)),
inference(ssi,[status(thm)],[484,7,4]),
[iquote('1:SSi:484.1,484.0,7.0,4.0')] ).
cnf(573,plain,
( ~ rpoint(vd1185)
| ~ rpoint(vd1199)
| ~ equal(vf(vd1199,vd1199),vd684)
| equal(vd1185,vd1199) ),
inference(spl,[status(thm),theory(equality)],[502,291]),
[iquote('1:SpL:502.0,291.2')] ).
cnf(583,plain,
( ~ equal(vf(vd1199,vd1199),vd684)
| equal(vd1185,vd1199) ),
inference(ssi,[status(thm)],[573,4,7]),
[iquote('1:SSi:573.1,573.0,4.0,7.0')] ).
cnf(584,plain,
~ equal(vf(vd1199,vd1199),vd684),
inference(mrr,[status(thm)],[583,27]),
[iquote('1:MRR:583.1,27.0')] ).
cnf(591,plain,
( ~ rpoint(vd1199)
| ~ rpoint(vd1199)
| ~ equal(vd1199,vd1199)
| ~ equal(vd684,vd684) ),
inference(spl,[status(thm),theory(equality)],[290,584]),
[iquote('1:SpL:290.3,584.0')] ).
cnf(596,plain,
~ rpoint(vd1199),
inference(obv,[status(thm),theory(equality)],[591]),
[iquote('1:Obv:591.3')] ).
cnf(597,plain,
$false,
inference(ssi,[status(thm)],[596,4]),
[iquote('1:SSi:596.0,4.0')] ).
cnf(598,plain,
~ equal(vd1186,vd1199),
inference(spt,[spt(split,[position(sa)])],[597,380]),
[iquote('1:Spt:597.0,344.5,380.0')] ).
cnf(599,plain,
( ~ rline(u)
| ~ ron(vd1185,u)
| ~ ron(vd1199,u)
| ~ ron(vd1186,u)
| equal(vd1186,vd1185) ),
inference(spt,[spt(split,[position(s2)])],[344]),
[iquote('1:Spt:597.0,344.0,344.1,344.2,344.3,344.4')] ).
cnf(613,plain,
( ~ rline(vd1197)
| ~ ron(vd1185,vd1197)
| ~ ron(vd1199,vd1197)
| equal(vd1186,vd1185) ),
inference(res,[status(thm),theory(equality)],[18,599]),
[iquote('1:Res:18.0,599.3')] ).
cnf(614,plain,
( ~ ron(vd1185,vd1197)
| ~ ron(vd1199,vd1197)
| equal(vd1186,vd1185) ),
inference(ssi,[status(thm)],[613,1]),
[iquote('1:SSi:613.0,1.0')] ).
cnf(615,plain,
equal(vd1186,vd1185),
inference(mrr,[status(thm)],[614,15,20]),
[iquote('1:MRR:614.0,614.1,15.0,20.0')] ).
cnf(626,plain,
equal(vf(vd1178,vd1179),vf(vd1199,vd1185)),
inference(rew,[status(thm),theory(equality)],[615,275]),
[iquote('1:Rew:615.0,275.0')] ).
cnf(627,plain,
equal(vf(vd1185,vd1185),vf(vd1199,vd1185)),
inference(rew,[status(thm),theory(equality)],[615,274]),
[iquote('1:Rew:615.0,274.0')] ).
cnf(672,plain,
( ~ rpoint(vd1179)
| ~ rpoint(vd1178)
| ~ equal(vf(vd1199,vd1185),vd684)
| equal(vd1179,vd1178) ),
inference(spl,[status(thm),theory(equality)],[626,291]),
[iquote('1:SpL:626.0,291.2')] ).
cnf(675,plain,
( ~ equal(vf(vd1199,vd1185),vd684)
| equal(vd1179,vd1178) ),
inference(ssi,[status(thm)],[672,10,9]),
[iquote('1:SSi:672.1,672.0,10.0,9.0')] ).
cnf(676,plain,
~ equal(vf(vd1199,vd1185),vd684),
inference(mrr,[status(thm)],[675,32]),
[iquote('1:MRR:675.1,32.0')] ).
cnf(686,plain,
( ~ rpoint(vd1185)
| ~ rpoint(vd1185)
| ~ equal(vd1185,vd1185)
| equal(vf(vd1199,vd1185),vd684) ),
inference(spr,[status(thm),theory(equality)],[627,290]),
[iquote('1:SpR:627.0,290.3')] ).
cnf(693,plain,
( ~ rpoint(vd1185)
| equal(vf(vd1199,vd1185),vd684) ),
inference(obv,[status(thm),theory(equality)],[686]),
[iquote('1:Obv:686.2')] ).
cnf(694,plain,
equal(vf(vd1199,vd1185),vd684),
inference(ssi,[status(thm)],[693,7]),
[iquote('1:SSi:693.0,7.0')] ).
cnf(695,plain,
$false,
inference(mrr,[status(thm)],[694,676]),
[iquote('1:MRR:694.0,676.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO290+1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.14 % Command : run_spass %d %s
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sat Jun 18 01:18:52 EDT 2022
% 0.14/0.35 % CPUTime :
% 2.11/2.30
% 2.11/2.30 SPASS V 3.9
% 2.11/2.30 SPASS beiseite: Proof found.
% 2.11/2.30 % SZS status Theorem
% 2.11/2.30 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.11/2.30 SPASS derived 241 clauses, backtracked 30 clauses, performed 7 splits and kept 414 clauses.
% 2.11/2.30 SPASS allocated 109169 KBytes.
% 2.11/2.30 SPASS spent 0:00:01.93 on the problem.
% 2.11/2.30 0:00:00.04 for the input.
% 2.11/2.30 0:00:01.64 for the FLOTTER CNF translation.
% 2.11/2.30 0:00:00.00 for inferences.
% 2.11/2.30 0:00:00.00 for the backtracking.
% 2.11/2.30 0:00:00.18 for the reduction.
% 2.11/2.30
% 2.11/2.30
% 2.11/2.30 Here is a proof with depth 3, length 52 :
% 2.11/2.30 % SZS output start Refutation
% See solution above
% 2.11/2.30 Formulae used in the proof : pred_a40_269_a44__a32_0_a41_ qe_a40_s1_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_s1_a40_plural_a40_269_a41__a41__a44__a32_0_a41_ holds_a40_conjunct1_a40_comma_conjunct2_a40_plural_a40_271_a41__a41__a41__a44__a32_1212_a44__a32_0_a41_ pred_a40_s2_a40_plural_a40_269_a41__a41__a44__a32_0_a41_ pred_a40_conjunct1_a40_conjunct2_a40_comma_conjunct2_a40_plural_a40_271_a41__a41__a41__a41__a44__a32_0_a41_ pred_a40_axiom_a40_137_a41__a44__a32_2_a41_ holds_a40_275_a44__a32_1217_a44__a32_0_a41_ dis_a40_276_a41_ neg_a40_neg_a40_conjunct2_a40_conjunct2_a40_comma_conjunct2_a40_plural_a40_271_a41__a41__a41__a41__a41__a41_ holds_a40_conjunct1_a40_conjunct2_a40_conjunct2_a40_conjunct2_a40_plural_a40_271_a41__a41__a41__a41__a41__a44__a32_1209_a44__a32_0_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_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_91_a41__a44__a32_0_a41__a44__a32_imp_a40_cond_a40_axiom_a40_91_a41__a44__a32_0_a41__a41__a41_
% 2.11/2.30
%------------------------------------------------------------------------------