TSTP Solution File: GEO274+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO274+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n017.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 06:24:06 EDT 2022
% Result : Theorem 82.16s 82.40s
% Output : Refutation 82.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 17
% Syntax : Number of clauses : 32 ( 17 unt; 5 nHn; 32 RR)
% Number of literals : 88 ( 0 equ; 55 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 : 13 ( 13 usr; 12 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
rline(skc1),
file('GEO274+1.p',unknown),
[] ).
cnf(2,axiom,
rline(vd1092),
file('GEO274+1.p',unknown),
[] ).
cnf(3,axiom,
rpoint(vd1089),
file('GEO274+1.p',unknown),
[] ).
cnf(4,axiom,
rpoint(vd1086),
file('GEO274+1.p',unknown),
[] ).
cnf(5,axiom,
rpoint(vd1080),
file('GEO274+1.p',unknown),
[] ).
cnf(9,axiom,
ron(vd1089,skc1),
file('GEO274+1.p',unknown),
[] ).
cnf(10,axiom,
ron(vd1080,skc1),
file('GEO274+1.p',unknown),
[] ).
cnf(11,axiom,
ron(vd1089,vd1092),
file('GEO274+1.p',unknown),
[] ).
cnf(12,axiom,
ron(vd1080,vd1092),
file('GEO274+1.p',unknown),
[] ).
cnf(13,axiom,
equal(vd1086,vd1085),
file('GEO274+1.p',unknown),
[] ).
cnf(15,axiom,
equal(v0,vd684),
file('GEO274+1.p',unknown),
[] ).
cnf(20,axiom,
~ equal(skc1,vd1092),
file('GEO274+1.p',unknown),
[] ).
cnf(21,axiom,
~ equal(vd1085,vd1080),
file('GEO274+1.p',unknown),
[] ).
cnf(57,axiom,
equal(vf(vd1089,vd1085),vf(vd1089,vd1080)),
file('GEO274+1.p',unknown),
[] ).
cnf(96,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ equal(vf(u,v),v0)
| equal(u,v) ),
file('GEO274+1.p',unknown),
[] ).
cnf(97,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ equal(u,v)
| equal(vf(u,v),v0) ),
file('GEO274+1.p',unknown),
[] ).
cnf(199,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('GEO274+1.p',unknown),
[] ).
cnf(246,plain,
rpoint(vd1085),
inference(rew,[status(thm),theory(equality)],[13,4]),
[iquote('0:Rew:13.0,4.0')] ).
cnf(253,plain,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ equal(v,u)
| equal(vf(v,u),vd684) ),
inference(rew,[status(thm),theory(equality)],[15,97]),
[iquote('0:Rew:15.0,97.3')] ).
cnf(254,plain,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ equal(vf(v,u),vd684)
| equal(v,u) ),
inference(rew,[status(thm),theory(equality)],[15,96]),
[iquote('0:Rew:15.0,96.2')] ).
cnf(486,plain,
( ~ rpoint(u)
| ~ rpoint(vd1080)
| ~ rline(v)
| ~ rline(skc1)
| ~ ron(vd1080,v)
| ~ ron(u,skc1)
| ~ ron(u,v)
| equal(u,vd1080)
| equal(v,skc1) ),
inference(res,[status(thm),theory(equality)],[10,199]),
[iquote('0:Res:10.0,199.5')] ).
cnf(652,plain,
( ~ rline(u)
| ~ rpoint(v)
| ~ ron(v,u)
| ~ ron(v,skc1)
| ~ ron(vd1080,u)
| equal(u,skc1)
| equal(v,vd1080) ),
inference(mrr,[status(thm)],[486,5,1]),
[iquote('0:MRR:486.1,486.3,5.0,1.0')] ).
cnf(899,plain,
( ~ rpoint(vd1085)
| ~ rpoint(vd1089)
| ~ equal(vf(vd1089,vd1080),vd684)
| equal(vd1085,vd1089) ),
inference(spl,[status(thm),theory(equality)],[57,254]),
[iquote('0:SpL:57.0,254.2')] ).
cnf(905,plain,
( ~ equal(vf(vd1089,vd1080),vd684)
| equal(vd1085,vd1089) ),
inference(ssi,[status(thm)],[899,3,246]),
[iquote('0:SSi:899.1,899.0,3.0,246.0')] ).
cnf(954,plain,
( ~ rpoint(vd1080)
| ~ rpoint(vd1089)
| ~ equal(vd1080,vd1089)
| ~ equal(vd684,vd684)
| equal(vd1085,vd1089) ),
inference(spl,[status(thm),theory(equality)],[253,905]),
[iquote('0:SpL:253.3,905.0')] ).
cnf(955,plain,
( ~ rpoint(vd1080)
| ~ rpoint(vd1089)
| ~ equal(vd1080,vd1089)
| equal(vd1085,vd1089) ),
inference(obv,[status(thm),theory(equality)],[954]),
[iquote('0:Obv:954.3')] ).
cnf(956,plain,
( ~ equal(vd1080,vd1089)
| equal(vd1085,vd1089) ),
inference(ssi,[status(thm)],[955,3,5]),
[iquote('0:SSi:955.1,955.0,3.0,5.0')] ).
cnf(1005,plain,
( ~ equal(vd1080,vd1089)
| ~ equal(vd1080,vd1089) ),
inference(spl,[status(thm),theory(equality)],[956,21]),
[iquote('0:SpL:956.1,21.0')] ).
cnf(1007,plain,
~ equal(vd1080,vd1089),
inference(obv,[status(thm),theory(equality)],[1005]),
[iquote('0:Obv:1005.0')] ).
cnf(26994,plain,
( ~ rline(vd1092)
| ~ rpoint(vd1089)
| ~ ron(vd1089,skc1)
| ~ ron(vd1080,vd1092)
| equal(skc1,vd1092)
| equal(vd1080,vd1089) ),
inference(res,[status(thm),theory(equality)],[11,652]),
[iquote('0:Res:11.0,652.2')] ).
cnf(27065,plain,
( ~ ron(vd1089,skc1)
| ~ ron(vd1080,vd1092)
| equal(skc1,vd1092)
| equal(vd1080,vd1089) ),
inference(ssi,[status(thm)],[26994,3,2]),
[iquote('0:SSi:26994.1,26994.0,3.0,2.0')] ).
cnf(27066,plain,
$false,
inference(mrr,[status(thm)],[27065,9,12,20,1007]),
[iquote('0:MRR:27065.0,27065.1,27065.2,27065.3,9.0,12.0,20.0,1007.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GEO274+1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n017.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jun 18 12:43:27 EDT 2022
% 0.19/0.33 % CPUTime :
% 82.16/82.40
% 82.16/82.40 SPASS V 3.9
% 82.16/82.40 SPASS beiseite: Proof found.
% 82.16/82.40 % SZS status Theorem
% 82.16/82.40 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 82.16/82.40 SPASS derived 16092 clauses, backtracked 0 clauses, performed 0 splits and kept 5849 clauses.
% 82.16/82.40 SPASS allocated 132362 KBytes.
% 82.16/82.40 SPASS spent 0:1:18.57 on the problem.
% 82.16/82.40 0:00:00.04 for the input.
% 82.16/82.40 0:00:01.48 for the FLOTTER CNF translation.
% 82.16/82.40 0:00:00.40 for inferences.
% 82.16/82.40 0:00:00.00 for the backtracking.
% 82.16/82.40 0:1:15.66 for the reduction.
% 82.16/82.40
% 82.16/82.40
% 82.16/82.40 Here is a proof with depth 3, length 32 :
% 82.16/82.40 % SZS output start Refutation
% See solution above
% 82.16/82.40 Formulae used in the proof : qu_a40_theu_a40_the_a40_227_a41__a44__a32_1_a41__a44__a32_imp_a40_the_a40_227_a41__a41__a41_ and_a40_pred_a40_s2_a40_plural_a40_the_a40_227_a41__a41__a41__a44__a32_0_a41__a44__a32_and_a40_pred_a40_s1_a40_plural_a40_the_a40_227_a41__a41__a41__a44__a32_0_a41__a44__a32_pred_a40_the_a40_227_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_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_73_a41__a44__a32_0_a41__a44__a32_imp_a40_cond_a40_axiom_a40_73_a41__a44__a32_0_a41__a41__a41_
% 82.16/82.40
%------------------------------------------------------------------------------