TSTP Solution File: GEO297+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO297+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n010.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 06:24:12 EDT 2022
% Result : Theorem 4.02s 4.22s
% Output : Refutation 4.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 18
% Syntax : Number of clauses : 41 ( 23 unt; 5 nHn; 41 RR)
% Number of literals : 112 ( 0 equ; 70 neg)
% Maximal clause size : 10 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
rline(vd1232),
file('GEO297+1.p',unknown),
[] ).
cnf(2,axiom,
rpoint(vd1187),
file('GEO297+1.p',unknown),
[] ).
cnf(4,axiom,
rpoint(vd1185),
file('GEO297+1.p',unknown),
[] ).
cnf(5,axiom,
rpoint(vd1180),
file('GEO297+1.p',unknown),
[] ).
cnf(7,axiom,
rpoint(vd1178),
file('GEO297+1.p',unknown),
[] ).
cnf(8,axiom,
rpoint(vd1201),
file('GEO297+1.p',unknown),
[] ).
cnf(16,axiom,
ron(vd1187,vd1232),
file('GEO297+1.p',unknown),
[] ).
cnf(17,axiom,
ron(vd1185,vd1232),
file('GEO297+1.p',unknown),
[] ).
cnf(18,axiom,
equal(vd1199,vd1185),
file('GEO297+1.p',unknown),
[] ).
cnf(29,axiom,
equal(v0,vd684),
file('GEO297+1.p',unknown),
[] ).
cnf(36,axiom,
~ equal(vd1180,vd1178),
file('GEO297+1.p',unknown),
[] ).
cnf(43,axiom,
~ ron(vd1201,vd1232),
file('GEO297+1.p',unknown),
[] ).
cnf(68,axiom,
equal(vangle(vd1187,vd1185,vd1201),v0),
file('GEO297+1.p',unknown),
[] ).
cnf(78,axiom,
equal(vf(vd1178,vd1180),vf(vd1185,vd1187)),
file('GEO297+1.p',unknown),
[] ).
cnf(80,axiom,
equal(vf(vd1178,vd1180),vf(vd1199,vd1201)),
file('GEO297+1.p',unknown),
[] ).
cnf(136,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ equal(vf(u,v),v0)
| equal(u,v) ),
file('GEO297+1.p',unknown),
[] ).
cnf(137,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ equal(u,v)
| equal(vf(u,v),v0) ),
file('GEO297+1.p',unknown),
[] ).
cnf(246,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ rpoint(w)
| ~ rline(x)
| ~ ron(v,x)
| ~ equal(vangle(v,u,w),v0)
| ~ ron(u,x)
| ron(w,x)
| equal(u,w)
| equal(u,v) ),
file('GEO297+1.p',unknown),
[] ).
cnf(297,plain,
equal(vangle(vd1187,vd1185,vd1201),vd684),
inference(rew,[status(thm),theory(equality)],[29,68]),
[iquote('0:Rew:29.0,68.0')] ).
cnf(300,plain,
equal(vf(vd1178,vd1180),vf(vd1185,vd1201)),
inference(rew,[status(thm),theory(equality)],[18,80]),
[iquote('0:Rew:18.0,80.0')] ).
cnf(302,plain,
equal(vf(vd1185,vd1201),vf(vd1185,vd1187)),
inference(rew,[status(thm),theory(equality)],[300,78]),
[iquote('0:Rew:300.0,78.0')] ).
cnf(303,plain,
equal(vf(vd1178,vd1180),vf(vd1185,vd1187)),
inference(rew,[status(thm),theory(equality)],[302,300]),
[iquote('0:Rew:302.0,300.0')] ).
cnf(319,plain,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ equal(v,u)
| equal(vf(v,u),vd684) ),
inference(rew,[status(thm),theory(equality)],[29,137]),
[iquote('0:Rew:29.0,137.3')] ).
cnf(320,plain,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ equal(vf(v,u),vd684)
| equal(v,u) ),
inference(rew,[status(thm),theory(equality)],[29,136]),
[iquote('0:Rew:29.0,136.2')] ).
cnf(326,plain,
( ~ rline(u)
| ~ rpoint(v)
| ~ rpoint(w)
| ~ rpoint(x)
| ~ ron(x,u)
| ~ ron(w,u)
| ~ equal(vangle(w,x,v),vd684)
| equal(x,w)
| equal(x,v)
| ron(v,u) ),
inference(rew,[status(thm),theory(equality)],[29,246]),
[iquote('0:Rew:29.0,246.5')] ).
cnf(446,plain,
( ~ rpoint(vd1201)
| ~ rpoint(vd1185)
| ~ equal(vd1201,vd1185)
| equal(vf(vd1185,vd1187),vd684) ),
inference(spr,[status(thm),theory(equality)],[319,302]),
[iquote('0:SpR:319.3,302.0')] ).
cnf(461,plain,
( ~ equal(vd1201,vd1185)
| equal(vf(vd1185,vd1187),vd684) ),
inference(ssi,[status(thm)],[446,4,8]),
[iquote('0:SSi:446.1,446.0,4.0,8.0')] ).
cnf(469,plain,
( ~ rpoint(vd1180)
| ~ rpoint(vd1178)
| ~ equal(vf(vd1185,vd1187),vd684)
| equal(vd1180,vd1178) ),
inference(spl,[status(thm),theory(equality)],[303,320]),
[iquote('0:SpL:303.0,320.2')] ).
cnf(479,plain,
( ~ equal(vf(vd1185,vd1187),vd684)
| equal(vd1180,vd1178) ),
inference(ssi,[status(thm)],[469,7,5]),
[iquote('0:SSi:469.1,469.0,7.0,5.0')] ).
cnf(480,plain,
~ equal(vf(vd1185,vd1187),vd684),
inference(mrr,[status(thm)],[479,36]),
[iquote('0:MRR:479.1,36.0')] ).
cnf(481,plain,
~ equal(vd1201,vd1185),
inference(mrr,[status(thm)],[461,480]),
[iquote('0:MRR:461.1,480.0')] ).
cnf(496,plain,
( ~ rpoint(vd1187)
| ~ rpoint(vd1185)
| ~ equal(vd1185,vd1187)
| ~ equal(vd684,vd684) ),
inference(spl,[status(thm),theory(equality)],[319,480]),
[iquote('0:SpL:319.3,480.0')] ).
cnf(500,plain,
( ~ rpoint(vd1187)
| ~ rpoint(vd1185)
| ~ equal(vd1185,vd1187) ),
inference(obv,[status(thm),theory(equality)],[496]),
[iquote('0:Obv:496.3')] ).
cnf(501,plain,
~ equal(vd1185,vd1187),
inference(ssi,[status(thm)],[500,4,2]),
[iquote('0:SSi:500.1,500.0,4.0,2.0')] ).
cnf(6115,plain,
( ~ rline(u)
| ~ rpoint(vd1201)
| ~ rpoint(vd1187)
| ~ rpoint(vd1185)
| ~ ron(vd1185,u)
| ~ ron(vd1187,u)
| ~ equal(vd684,vd684)
| equal(vd1185,vd1187)
| equal(vd1201,vd1185)
| ron(vd1201,u) ),
inference(spl,[status(thm),theory(equality)],[297,326]),
[iquote('0:SpL:297.0,326.6')] ).
cnf(6126,plain,
( ~ rline(u)
| ~ rpoint(vd1201)
| ~ rpoint(vd1187)
| ~ rpoint(vd1185)
| ~ ron(vd1185,u)
| ~ ron(vd1187,u)
| equal(vd1185,vd1187)
| equal(vd1201,vd1185)
| ron(vd1201,u) ),
inference(obv,[status(thm),theory(equality)],[6115]),
[iquote('0:Obv:6115.6')] ).
cnf(6127,plain,
( ~ rline(u)
| ~ ron(vd1185,u)
| ~ ron(vd1187,u)
| equal(vd1185,vd1187)
| equal(vd1201,vd1185)
| ron(vd1201,u) ),
inference(ssi,[status(thm)],[6126,4,2,8]),
[iquote('0:SSi:6126.3,6126.2,6126.1,4.0,2.0,8.0')] ).
cnf(6128,plain,
( ~ rline(u)
| ~ ron(vd1185,u)
| ~ ron(vd1187,u)
| ron(vd1201,u) ),
inference(mrr,[status(thm)],[6127,501,481]),
[iquote('0:MRR:6127.3,6127.4,501.0,481.0')] ).
cnf(6147,plain,
( ~ rline(vd1232)
| ~ ron(vd1185,vd1232)
| ~ ron(vd1187,vd1232) ),
inference(res,[status(thm),theory(equality)],[6128,43]),
[iquote('0:Res:6128.3,43.0')] ).
cnf(6162,plain,
( ~ ron(vd1185,vd1232)
| ~ ron(vd1187,vd1232) ),
inference(ssi,[status(thm)],[6147,1]),
[iquote('0:SSi:6147.0,1.0')] ).
cnf(6163,plain,
$false,
inference(mrr,[status(thm)],[6162,17,16]),
[iquote('0:MRR:6162.0,6162.1,17.0,16.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : GEO297+1 : TPTP v8.1.0. Released v4.1.0.
% 0.13/0.13 % Command : run_spass %d %s
% 0.14/0.35 % Computer : n010.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 08:14:08 EDT 2022
% 0.14/0.35 % CPUTime :
% 4.02/4.22
% 4.02/4.22 SPASS V 3.9
% 4.02/4.22 SPASS beiseite: Proof found.
% 4.02/4.22 % SZS status Theorem
% 4.02/4.22 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.02/4.22 SPASS derived 3111 clauses, backtracked 44 clauses, performed 1 splits and kept 1676 clauses.
% 4.02/4.22 SPASS allocated 109372 KBytes.
% 4.02/4.22 SPASS spent 0:00:03.77 on the problem.
% 4.02/4.22 0:00:00.04 for the input.
% 4.02/4.22 0:00:01.41 for the FLOTTER CNF translation.
% 4.02/4.22 0:00:00.06 for inferences.
% 4.02/4.22 0:00:00.00 for the backtracking.
% 4.02/4.22 0:00:02.19 for the reduction.
% 4.02/4.22
% 4.02/4.22
% 4.02/4.22 Here is a proof with depth 2, length 41 :
% 4.02/4.22 % SZS output start Refutation
% See solution above
% 4.02/4.22 Formulae used in the proof : pred_a40_293_a44__a32_0_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_ qe_a40_s3_a40_plural_a40_271_a41__a41__a41_ pred_a40_s2_a40_plural_a40_293_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_ neg_a40_neg_a40_296_a41__a41_ holds_a40_310_a44__a32_1246_a44__a32_0_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_188_a41__a44__a32_0_a41__a44__a32_imp_a40_cond_a40_axiom_a40_188_a41__a44__a32_0_a41__a41__a41_
% 4.02/4.22
%------------------------------------------------------------------------------