TSTP Solution File: GEO277+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO277+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n020.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 06:24:07 EDT 2022
% Result : Theorem 153.64s 153.82s
% Output : Refutation 153.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 21
% Syntax : Number of clauses : 51 ( 22 unt; 16 nHn; 51 RR)
% Number of literals : 191 ( 0 equ; 129 neg)
% Maximal clause size : 11 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
rline(skc1),
file('GEO277+1.p',unknown),
[] ).
cnf(2,axiom,
rline(vd1099),
file('GEO277+1.p',unknown),
[] ).
cnf(5,axiom,
rpoint(vd1089),
file('GEO277+1.p',unknown),
[] ).
cnf(6,axiom,
rpoint(vd1086),
file('GEO277+1.p',unknown),
[] ).
cnf(9,axiom,
rpoint(vd1080),
file('GEO277+1.p',unknown),
[] ).
cnf(12,axiom,
ron(vd1085,skc1),
file('GEO277+1.p',unknown),
[] ).
cnf(13,axiom,
ron(vd1089,skc1),
file('GEO277+1.p',unknown),
[] ).
cnf(14,axiom,
ron(vd1085,vd1099),
file('GEO277+1.p',unknown),
[] ).
cnf(15,axiom,
ron(vd1089,vd1099),
file('GEO277+1.p',unknown),
[] ).
cnf(20,axiom,
equal(vd1086,vd1085),
file('GEO277+1.p',unknown),
[] ).
cnf(27,axiom,
equal(v0,vd684),
file('GEO277+1.p',unknown),
[] ).
cnf(31,axiom,
~ equal(skc1,vd1099),
file('GEO277+1.p',unknown),
[] ).
cnf(35,axiom,
~ equal(vd1080,vd1085),
file('GEO277+1.p',unknown),
[] ).
cnf(68,axiom,
equal(vf(vd1089,vd1080),vf(vd1085,vd1080)),
file('GEO277+1.p',unknown),
[] ).
cnf(69,axiom,
equal(vf(vd1089,vd1080),vf(vd1089,vd1085)),
file('GEO277+1.p',unknown),
[] ).
cnf(98,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| equal(vf(v,u),vf(u,v)) ),
file('GEO277+1.p',unknown),
[] ).
cnf(111,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ equal(vf(u,v),v0)
| equal(u,v) ),
file('GEO277+1.p',unknown),
[] ).
cnf(112,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ equal(u,v)
| equal(vf(u,v),v0) ),
file('GEO277+1.p',unknown),
[] ).
cnf(203,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ rpoint(w)
| ~ rline(x)
| ~ ron(v,x)
| ~ ron(w,x)
| ~ ron(u,x)
| equal(vg(u,v,w),v0)
| equal(u,v) ),
file('GEO277+1.p',unknown),
[] ).
cnf(204,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ rpoint(w)
| ~ rline(x)
| ~ ron(v,x)
| ~ equal(vg(u,v,w),v0)
| ~ ron(u,x)
| ron(w,x)
| equal(u,v) ),
file('GEO277+1.p',unknown),
[] ).
cnf(213,axiom,
( ~ rline(u)
| ~ rline(v)
| ~ rpoint(w)
| ~ rpoint(x)
| ~ ron(x,v)
| ~ ron(x,u)
| ~ ron(w,u)
| ~ ron(w,v)
| equal(v,u)
| equal(x,w) ),
file('GEO277+1.p',unknown),
[] ).
cnf(264,plain,
rpoint(vd1085),
inference(rew,[status(thm),theory(equality)],[20,6]),
[iquote('0:Rew:20.0,6.0')] ).
cnf(267,plain,
equal(vf(vd1089,vd1085),vf(vd1085,vd1080)),
inference(rew,[status(thm),theory(equality)],[69,68]),
[iquote('0:Rew:69.0,68.0')] ).
cnf(278,plain,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ equal(v,u)
| equal(vf(v,u),vd684) ),
inference(rew,[status(thm),theory(equality)],[27,112]),
[iquote('0:Rew:27.0,112.3')] ).
cnf(279,plain,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ equal(vf(v,u),vd684)
| equal(v,u) ),
inference(rew,[status(thm),theory(equality)],[27,111]),
[iquote('0:Rew:27.0,111.2')] ).
cnf(281,plain,
( ~ rline(u)
| ~ rpoint(v)
| ~ rpoint(w)
| ~ rpoint(x)
| ~ ron(x,u)
| ~ ron(v,u)
| ~ ron(w,u)
| equal(x,w)
| equal(vg(x,w,v),vd684) ),
inference(rew,[status(thm),theory(equality)],[27,203]),
[iquote('0:Rew:27.0,203.7')] ).
cnf(282,plain,
( ~ rline(u)
| ~ rpoint(v)
| ~ rpoint(w)
| ~ rpoint(x)
| ~ ron(x,u)
| ~ ron(w,u)
| ~ equal(vg(x,w,v),vd684)
| equal(x,w)
| ron(v,u) ),
inference(rew,[status(thm),theory(equality)],[27,204]),
[iquote('0:Rew:27.0,204.5')] ).
cnf(514,plain,
( ~ rpoint(u)
| ~ rpoint(vd1089)
| ~ rpoint(v)
| ~ rline(skc1)
| ~ equal(vg(u,vd1089,v),vd684)
| ~ ron(u,skc1)
| ron(v,skc1)
| equal(u,vd1089) ),
inference(res,[status(thm),theory(equality)],[13,282]),
[iquote('0:Res:13.0,282.4')] ).
cnf(665,plain,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ ron(v,skc1)
| ~ equal(vg(v,vd1089,u),vd684)
| equal(v,vd1089)
| ron(u,skc1) ),
inference(mrr,[status(thm)],[514,5,1]),
[iquote('0:MRR:514.1,514.3,5.0,1.0')] ).
cnf(844,plain,
( ~ rpoint(vd1085)
| ~ rpoint(vd1089)
| equal(vf(vd1085,vd1080),vf(vd1085,vd1089)) ),
inference(spr,[status(thm),theory(equality)],[98,267]),
[iquote('0:SpR:98.2,267.0')] ).
cnf(854,plain,
equal(vf(vd1085,vd1080),vf(vd1085,vd1089)),
inference(ssi,[status(thm)],[844,5,264]),
[iquote('0:SSi:844.1,844.0,5.0,264.0')] ).
cnf(965,plain,
( ~ rpoint(vd1080)
| ~ rpoint(vd1085)
| ~ equal(vf(vd1085,vd1089),vd684)
| equal(vd1080,vd1085) ),
inference(spl,[status(thm),theory(equality)],[854,279]),
[iquote('0:SpL:854.0,279.2')] ).
cnf(968,plain,
( ~ equal(vf(vd1085,vd1089),vd684)
| equal(vd1080,vd1085) ),
inference(ssi,[status(thm)],[965,264,9]),
[iquote('0:SSi:965.1,965.0,264.0,9.0')] ).
cnf(969,plain,
~ equal(vf(vd1085,vd1089),vd684),
inference(mrr,[status(thm)],[968,35]),
[iquote('0:MRR:968.1,35.0')] ).
cnf(974,plain,
( ~ rpoint(vd1089)
| ~ rpoint(vd1085)
| ~ equal(vd1089,vd1085)
| ~ equal(vd684,vd684) ),
inference(spl,[status(thm),theory(equality)],[278,969]),
[iquote('0:SpL:278.3,969.0')] ).
cnf(975,plain,
( ~ rpoint(vd1089)
| ~ rpoint(vd1085)
| ~ equal(vd1089,vd1085) ),
inference(obv,[status(thm),theory(equality)],[974]),
[iquote('0:Obv:974.3')] ).
cnf(976,plain,
~ equal(vd1089,vd1085),
inference(ssi,[status(thm)],[975,264,5]),
[iquote('0:SSi:975.1,975.0,264.0,5.0')] ).
cnf(5015,plain,
( ~ rline(vd1099)
| ~ rpoint(u)
| ~ rpoint(v)
| ~ rpoint(vd1085)
| ~ ron(u,vd1099)
| ~ ron(v,vd1099)
| equal(vd1085,v)
| equal(vg(vd1085,v,u),vd684) ),
inference(res,[status(thm),theory(equality)],[14,281]),
[iquote('0:Res:14.0,281.4')] ).
cnf(5067,plain,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ ron(u,vd1099)
| ~ ron(v,vd1099)
| equal(vd1085,v)
| equal(vg(vd1085,v,u),vd684) ),
inference(ssi,[status(thm)],[5015,264,2]),
[iquote('0:SSi:5015.3,5015.0,264.0,2.0')] ).
cnf(7508,plain,
( ~ rline(u)
| ~ rline(vd1099)
| ~ rpoint(v)
| ~ rpoint(vd1085)
| ~ ron(vd1085,u)
| ~ ron(v,u)
| ~ ron(v,vd1099)
| equal(vd1099,u)
| equal(vd1085,v) ),
inference(res,[status(thm),theory(equality)],[14,213]),
[iquote('0:Res:14.0,213.4')] ).
cnf(7534,plain,
( ~ rline(u)
| ~ rpoint(v)
| ~ ron(vd1085,u)
| ~ ron(v,u)
| ~ ron(v,vd1099)
| equal(vd1099,u)
| equal(vd1085,v) ),
inference(ssi,[status(thm)],[7508,264,2]),
[iquote('0:SSi:7508.3,7508.1,264.0,2.0')] ).
cnf(39129,plain,
( ~ rpoint(u)
| ~ rpoint(vd1089)
| ~ rpoint(u)
| ~ rpoint(vd1085)
| ~ ron(u,vd1099)
| ~ ron(vd1089,vd1099)
| ~ ron(vd1085,skc1)
| ~ equal(vd684,vd684)
| equal(vd1089,vd1085)
| equal(vd1089,vd1085)
| ron(u,skc1) ),
inference(spl,[status(thm),theory(equality)],[5067,665]),
[iquote('0:SpL:5067.5,665.3')] ).
cnf(39158,plain,
( ~ rpoint(vd1089)
| ~ rpoint(u)
| ~ rpoint(vd1085)
| ~ ron(u,vd1099)
| ~ ron(vd1089,vd1099)
| ~ ron(vd1085,skc1)
| equal(vd1089,vd1085)
| ron(u,skc1) ),
inference(obv,[status(thm),theory(equality)],[39129]),
[iquote('0:Obv:39129.8')] ).
cnf(39159,plain,
( ~ rpoint(u)
| ~ ron(u,vd1099)
| ~ ron(vd1089,vd1099)
| ~ ron(vd1085,skc1)
| equal(vd1089,vd1085)
| ron(u,skc1) ),
inference(ssi,[status(thm)],[39158,264,5]),
[iquote('0:SSi:39158.2,39158.0,264.0,5.0')] ).
cnf(39160,plain,
( ~ rpoint(u)
| ~ ron(u,vd1099)
| ron(u,skc1) ),
inference(mrr,[status(thm)],[39159,15,12,976]),
[iquote('0:MRR:39159.2,39159.3,39159.4,15.0,12.0,976.0')] ).
cnf(40348,plain,
( ~ rline(skc1)
| ~ rpoint(u)
| ~ ron(u,skc1)
| ~ ron(u,vd1099)
| equal(skc1,vd1099)
| equal(vd1085,u) ),
inference(res,[status(thm),theory(equality)],[12,7534]),
[iquote('0:Res:12.0,7534.2')] ).
cnf(40350,plain,
( ~ rpoint(u)
| ~ ron(u,skc1)
| ~ ron(u,vd1099)
| equal(skc1,vd1099)
| equal(vd1085,u) ),
inference(ssi,[status(thm)],[40348,1]),
[iquote('0:SSi:40348.0,1.0')] ).
cnf(40351,plain,
( ~ rpoint(u)
| ~ ron(u,vd1099)
| equal(vd1085,u) ),
inference(mrr,[status(thm)],[40350,39160,31]),
[iquote('0:MRR:40350.1,40350.3,39160.2,31.0')] ).
cnf(40352,plain,
( ~ rpoint(vd1089)
| equal(vd1089,vd1085) ),
inference(res,[status(thm),theory(equality)],[15,40351]),
[iquote('0:Res:15.0,40351.1')] ).
cnf(40387,plain,
equal(vd1089,vd1085),
inference(ssi,[status(thm)],[40352,5]),
[iquote('0:SSi:40352.0,5.0')] ).
cnf(40388,plain,
$false,
inference(mrr,[status(thm)],[40387,976]),
[iquote('0:MRR:40387.0,976.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO277+1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 16:47:03 EDT 2022
% 0.13/0.34 % CPUTime :
% 153.64/153.82
% 153.64/153.82 SPASS V 3.9
% 153.64/153.82 SPASS beiseite: Proof found.
% 153.64/153.82 % SZS status Theorem
% 153.64/153.82 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 153.64/153.82 SPASS derived 24202 clauses, backtracked 1197 clauses, performed 1 splits and kept 10685 clauses.
% 153.64/153.82 SPASS allocated 147212 KBytes.
% 153.64/153.82 SPASS spent 0:2:25.85 on the problem.
% 153.64/153.82 0:00:00.03 for the input.
% 153.64/153.82 0:00:01.60 for the FLOTTER CNF translation.
% 153.64/153.82 0:00:00.73 for inferences.
% 153.64/153.82 0:00:01.92 for the backtracking.
% 153.64/153.82 0:2:20.28 for the reduction.
% 153.64/153.82
% 153.64/153.82
% 153.64/153.82 Here is a proof with depth 3, length 51 :
% 153.64/153.82 % SZS output start Refutation
% See solution above
% 153.64/153.82 Formulae used in the proof : qu_a40_theu_a40_the_a40_230_a41__a44__a32_1_a41__a44__a32_imp_a40_the_a40_230_a41__a41__a41_ and_a40_pred_a40_s2_a40_plural_a40_the_a40_230_a41__a41__a41__a44__a32_0_a41__a44__a32_and_a40_pred_a40_s1_a40_plural_a40_the_a40_230_a41__a41__a41__a44__a32_0_a41__a44__a32_pred_a40_the_a40_230_a41__a44__a32_0_a41__a41__a41_ pred_a40_226_a44__a32_0_a41_ pred_a40_225_a44__a32_1_a41_ qe_a40_s1_a40_plural_a40_224_a41__a41__a41_ pred_a40_225_a44__a32_4_a41_ pred_a40_axiom_a40_137_a41__a44__a32_2_a41_ holds_a40_conjunct1_a40_225_a41__a44__a32_1087_a44__a32_0_a41_ holds_a40_226_a44__a32_1090_a44__a32_1_a41_ holds_a40_226_a44__a32_1090_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_200_a41__a44__a32_0_a41__a44__a32_imp_a40_cond_a40_axiom_a40_200_a41__a44__a32_0_a41__a41__a41_ qu_a40_cond_a40_axiom_a40_73_a41__a44__a32_0_a41__a44__a32_imp_a40_cond_a40_axiom_a40_73_a41__a44__a32_0_a41__a41__a41_
% 153.64/153.82
%------------------------------------------------------------------------------