TSTP Solution File: GEO341+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO341+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n009.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 06:24:23 EDT 2022
% Result : Theorem 92.23s 92.47s
% Output : Refutation 92.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 19
% Syntax : Number of clauses : 52 ( 19 unt; 17 nHn; 52 RR)
% Number of literals : 229 ( 0 equ; 151 neg)
% Maximal clause size : 14 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 11 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
rpoint(vd1409),
file('GEO341+1.p',unknown),
[] ).
cnf(3,axiom,
rpoint(vd1401),
file('GEO341+1.p',unknown),
[] ).
cnf(5,axiom,
rpoint(vd1399),
file('GEO341+1.p',unknown),
[] ).
cnf(11,axiom,
equal(v0,vd684),
file('GEO341+1.p',unknown),
[] ).
cnf(17,axiom,
~ equal(vd1409,vd1401),
file('GEO341+1.p',unknown),
[] ).
cnf(20,axiom,
~ equal(vd1401,vd1399),
file('GEO341+1.p',unknown),
[] ).
cnf(22,axiom,
rline(skf45(u,v)),
file('GEO341+1.p',unknown),
[] ).
cnf(34,axiom,
rpoint(skf72(u,v)),
file('GEO341+1.p',unknown),
[] ).
cnf(58,axiom,
equal(vf(vd1399,vd1409),vf(vd1399,vd1401)),
file('GEO341+1.p',unknown),
[] ).
cnf(77,axiom,
~ equal(vangle(vd1399,vd1409,vd1401),vangle(vd1399,vd1401,vd1409)),
file('GEO341+1.p',unknown),
[] ).
cnf(91,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| equal(v,u)
| ron(u,skf45(v,u)) ),
file('GEO341+1.p',unknown),
[] ).
cnf(92,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| equal(v,u)
| ron(v,skf45(v,u)) ),
file('GEO341+1.p',unknown),
[] ).
cnf(99,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ equal(vf(u,v),v0)
| equal(u,v) ),
file('GEO341+1.p',unknown),
[] ).
cnf(100,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ equal(u,v)
| equal(vf(u,v),v0) ),
file('GEO341+1.p',unknown),
[] ).
cnf(133,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ rpoint(w)
| ~ equal(w,v)
| ~ rR(v,w,u) ),
file('GEO341+1.p',unknown),
[] ).
cnf(161,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ rpoint(w)
| equal(w,v)
| equal(w,u)
| equal(vangle(w,v,u),vangle(u,v,w)) ),
file('GEO341+1.p',unknown),
[] ).
cnf(171,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ rline(w)
| ~ ron(u,w)
| ~ ron(v,w)
| equal(v,u)
| rR(u,v,skf72(v,u)) ),
file('GEO341+1.p',unknown),
[] ).
cnf(231,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ rpoint(w)
| ~ rpoint(x)
| ~ rpoint(y)
| ~ equal(vf(u,x),vf(u,y))
| ~ rR(y,u,v)
| ~ rR(x,u,w)
| equal(u,y)
| equal(u,x)
| equal(vangle(u,x,y),vangle(u,y,x))
| equal(x,y) ),
file('GEO341+1.p',unknown),
[] ).
cnf(245,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ rpoint(w)
| ~ rpoint(x)
| ~ rpoint(y)
| ~ rpoint(z)
| ~ equal(vf(z,y),vf(w,v))
| ~ equal(vf(z,x),vf(w,u))
| ~ equal(vangle(y,z,x),vangle(v,w,u))
| equal(y,x)
| equal(z,y)
| equal(z,x)
| ron(u,skf43(w,v,u))
| equal(vangle(z,y,x),vangle(w,v,u)) ),
file('GEO341+1.p',unknown),
[] ).
cnf(272,plain,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ equal(v,u)
| equal(vf(v,u),vd684) ),
inference(rew,[status(thm),theory(equality)],[11,100]),
[iquote('0:Rew:11.0,100.3')] ).
cnf(273,plain,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ equal(vf(v,u),vd684)
| equal(v,u) ),
inference(rew,[status(thm),theory(equality)],[11,99]),
[iquote('0:Rew:11.0,99.2')] ).
cnf(290,plain,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ rpoint(w)
| ~ rpoint(x)
| ~ rpoint(y)
| ~ equal(vf(y,v),vf(y,u))
| ~ rR(v,y,w)
| ~ rR(u,y,x)
| equal(v,u)
| equal(vangle(y,v,u),vangle(y,u,v)) ),
inference(mrr,[status(thm)],[231,133]),
[iquote('0:MRR:231.8,231.9,133.4,133.4')] ).
cnf(339,plain,
( ~ rpoint(vd1399)
| ~ rpoint(vd1409)
| ~ rpoint(vd1401)
| ~ rpoint(vd1399)
| ~ rpoint(vd1401)
| ~ rpoint(vd1409)
| ~ equal(vangle(vd1409,vd1399,vd1401),vangle(vd1401,vd1399,vd1409))
| ~ equal(vf(vd1399,vd1409),vf(vd1399,vd1401))
| ~ equal(vf(vd1399,vd1409),vf(vd1399,vd1401))
| ron(vd1409,skf43(vd1399,vd1401,vd1409))
| equal(vd1401,vd1399)
| equal(vd1409,vd1399)
| equal(vd1409,vd1401) ),
inference(res,[status(thm),theory(equality)],[245,77]),
[iquote('0:Res:245.12,77.0')] ).
cnf(493,plain,
( ~ rpoint(vd1399)
| ~ rpoint(u)
| ~ rpoint(v)
| ~ rpoint(vd1401)
| ~ rpoint(vd1409)
| ~ equal(vf(vd1399,vd1409),vf(vd1399,vd1401))
| ~ rR(vd1409,vd1399,u)
| ~ rR(vd1401,vd1399,v)
| equal(vd1409,vd1401) ),
inference(res,[status(thm),theory(equality)],[290,77]),
[iquote('0:Res:290.8,77.0')] ).
cnf(591,plain,
( ~ rpoint(vd1399)
| ~ rpoint(u)
| ~ rpoint(v)
| ~ rpoint(vd1401)
| ~ rpoint(vd1409)
| ~ equal(vf(vd1399,vd1401),vf(vd1399,vd1401))
| ~ rR(vd1409,vd1399,u)
| ~ rR(vd1401,vd1399,v)
| equal(vd1409,vd1401) ),
inference(rew,[status(thm),theory(equality)],[58,493]),
[iquote('0:Rew:58.0,493.5')] ).
cnf(592,plain,
( ~ rpoint(vd1399)
| ~ rpoint(u)
| ~ rpoint(v)
| ~ rpoint(vd1401)
| ~ rpoint(vd1409)
| ~ rR(vd1409,vd1399,u)
| ~ rR(vd1401,vd1399,v)
| equal(vd1409,vd1401) ),
inference(obv,[status(thm),theory(equality)],[591]),
[iquote('0:Obv:591.5')] ).
cnf(593,plain,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ rR(vd1401,vd1399,u)
| ~ rR(vd1409,vd1399,v) ),
inference(mrr,[status(thm)],[592,5,3,1,17]),
[iquote('0:MRR:592.0,592.3,592.4,592.7,5.0,3.0,1.0,17.0')] ).
cnf(638,plain,
( ~ rpoint(vd1399)
| ~ rpoint(vd1401)
| ~ rpoint(vd1409)
| ~ equal(vangle(vd1409,vd1399,vd1401),vangle(vd1401,vd1399,vd1409))
| ~ equal(vf(vd1399,vd1409),vf(vd1399,vd1401))
| ron(vd1409,skf43(vd1399,vd1401,vd1409))
| equal(vd1401,vd1399)
| equal(vd1409,vd1399)
| equal(vd1409,vd1401) ),
inference(obv,[status(thm),theory(equality)],[339]),
[iquote('0:Obv:339.7')] ).
cnf(639,plain,
( ~ rpoint(vd1399)
| ~ rpoint(vd1401)
| ~ rpoint(vd1409)
| ~ equal(vangle(vd1401,vd1399,vd1409),vangle(vd1401,vd1399,vd1409))
| ~ equal(vf(vd1399,vd1401),vf(vd1399,vd1401))
| ron(vd1409,skf43(vd1399,vd1401,vd1409))
| equal(vd1401,vd1399)
| equal(vd1409,vd1399)
| equal(vd1409,vd1401) ),
inference(rew,[status(thm),theory(equality)],[58,638,161]),
[iquote('0:Rew:58.0,638.4,161.5,638.3')] ).
cnf(640,plain,
( ~ rpoint(vd1399)
| ~ rpoint(vd1401)
| ~ rpoint(vd1409)
| ron(vd1409,skf43(vd1399,vd1401,vd1409))
| equal(vd1401,vd1399)
| equal(vd1409,vd1399)
| equal(vd1409,vd1401) ),
inference(obv,[status(thm),theory(equality)],[639]),
[iquote('0:Obv:639.4')] ).
cnf(641,plain,
( equal(vd1409,vd1399)
| ron(vd1409,skf43(vd1399,vd1401,vd1409)) ),
inference(mrr,[status(thm)],[640,5,3,1,20,17]),
[iquote('0:MRR:640.0,640.1,640.2,640.4,640.6,5.0,3.0,1.0,20.0,17.0')] ).
cnf(738,plain,
equal(vd1409,vd1399),
inference(spt,[spt(split,[position(s1)])],[641]),
[iquote('1:Spt:641.0')] ).
cnf(800,plain,
equal(vf(vd1399,vd1401),vf(vd1399,vd1399)),
inference(rew,[status(thm),theory(equality)],[738,58]),
[iquote('1:Rew:738.0,58.0')] ).
cnf(991,plain,
( ~ rpoint(vd1401)
| ~ rpoint(vd1399)
| ~ equal(vf(vd1399,vd1399),vd684)
| equal(vd1401,vd1399) ),
inference(spl,[status(thm),theory(equality)],[800,273]),
[iquote('1:SpL:800.0,273.2')] ).
cnf(998,plain,
( ~ equal(vf(vd1399,vd1399),vd684)
| equal(vd1401,vd1399) ),
inference(ssi,[status(thm)],[991,5,3]),
[iquote('1:SSi:991.1,991.0,5.0,3.0')] ).
cnf(999,plain,
~ equal(vf(vd1399,vd1399),vd684),
inference(mrr,[status(thm)],[998,20]),
[iquote('1:MRR:998.1,20.0')] ).
cnf(1004,plain,
( ~ rpoint(vd1399)
| ~ rpoint(vd1399)
| ~ equal(vd1399,vd1399)
| ~ equal(vd684,vd684) ),
inference(spl,[status(thm),theory(equality)],[272,999]),
[iquote('1:SpL:272.3,999.0')] ).
cnf(1009,plain,
~ rpoint(vd1399),
inference(obv,[status(thm),theory(equality)],[1004]),
[iquote('1:Obv:1004.3')] ).
cnf(1010,plain,
$false,
inference(ssi,[status(thm)],[1009,5]),
[iquote('1:SSi:1009.0,5.0')] ).
cnf(1011,plain,
~ equal(vd1409,vd1399),
inference(spt,[spt(split,[position(sa)])],[1010,738]),
[iquote('1:Spt:1010.0,641.0,738.0')] ).
cnf(1012,plain,
ron(vd1409,skf43(vd1399,vd1401,vd1409)),
inference(spt,[spt(split,[position(s2)])],[641]),
[iquote('1:Spt:1010.0,641.1')] ).
cnf(4045,plain,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ rpoint(v)
| ~ rpoint(w)
| ~ rline(skf45(v,u))
| ~ ron(w,skf45(v,u))
| equal(v,u)
| equal(w,v)
| rR(v,w,skf72(w,v)) ),
inference(res,[status(thm),theory(equality)],[92,171]),
[iquote('0:Res:92.3,171.3')] ).
cnf(4087,plain,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ rpoint(w)
| ~ rline(skf45(v,u))
| ~ ron(w,skf45(v,u))
| equal(v,u)
| equal(w,v)
| rR(v,w,skf72(w,v)) ),
inference(obv,[status(thm),theory(equality)],[4045]),
[iquote('0:Obv:4045.1')] ).
cnf(4088,plain,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ rpoint(w)
| ~ ron(w,skf45(v,u))
| equal(v,u)
| equal(w,v)
| rR(v,w,skf72(w,v)) ),
inference(ssi,[status(thm)],[4087,22]),
[iquote('0:SSi:4087.3,22.0')] ).
cnf(28877,plain,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ rpoint(u)
| ~ rpoint(v)
| ~ rpoint(u)
| equal(v,u)
| equal(v,u)
| equal(u,v)
| rR(v,u,skf72(u,v)) ),
inference(res,[status(thm),theory(equality)],[91,4088]),
[iquote('0:Res:91.3,4088.3')] ).
cnf(28895,plain,
( ~ rpoint(u)
| ~ rpoint(v)
| equal(v,u)
| rR(u,v,skf72(v,u)) ),
inference(obv,[status(thm),theory(equality)],[28877]),
[iquote('0:Obv:28877.6')] ).
cnf(29722,plain,
( ~ rpoint(vd1401)
| ~ rpoint(vd1399)
| ~ rpoint(skf72(vd1399,vd1401))
| ~ rpoint(u)
| ~ rR(vd1409,vd1399,u)
| equal(vd1401,vd1399) ),
inference(res,[status(thm),theory(equality)],[28895,593]),
[iquote('0:Res:28895.3,593.2')] ).
cnf(29753,plain,
( ~ rpoint(u)
| ~ rR(vd1409,vd1399,u)
| equal(vd1401,vd1399) ),
inference(ssi,[status(thm)],[29722,34,5,3]),
[iquote('0:SSi:29722.2,29722.1,29722.0,34.0,5.0,3.0,5.0,3.0')] ).
cnf(29754,plain,
( ~ rpoint(u)
| ~ rR(vd1409,vd1399,u) ),
inference(mrr,[status(thm)],[29753,20]),
[iquote('0:MRR:29753.2,20.0')] ).
cnf(29806,plain,
( ~ rpoint(vd1409)
| ~ rpoint(vd1399)
| ~ rpoint(skf72(vd1399,vd1409))
| equal(vd1409,vd1399) ),
inference(res,[status(thm),theory(equality)],[28895,29754]),
[iquote('0:Res:28895.3,29754.1')] ).
cnf(29807,plain,
equal(vd1409,vd1399),
inference(ssi,[status(thm)],[29806,34,5,1]),
[iquote('0:SSi:29806.2,29806.1,29806.0,34.0,5.0,1.0,5.0,1.0')] ).
cnf(29808,plain,
$false,
inference(mrr,[status(thm)],[29807,1011]),
[iquote('1:MRR:29807.0,1011.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO341+1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 07:03:07 EDT 2022
% 0.12/0.35 % CPUTime :
% 92.23/92.47
% 92.23/92.47 SPASS V 3.9
% 92.23/92.47 SPASS beiseite: Proof found.
% 92.23/92.47 % SZS status Theorem
% 92.23/92.47 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 92.23/92.47 SPASS derived 16858 clauses, backtracked 80 clauses, performed 1 splits and kept 7458 clauses.
% 92.23/92.47 SPASS allocated 137375 KBytes.
% 92.23/92.47 SPASS spent 0:1:28.45 on the problem.
% 92.23/92.47 0:00:00.04 for the input.
% 92.23/92.47 0:00:01.98 for the FLOTTER CNF translation.
% 92.23/92.47 0:00:00.50 for inferences.
% 92.23/92.47 0:00:00.44 for the backtracking.
% 92.23/92.47 0:1:25.10 for the reduction.
% 92.23/92.47
% 92.23/92.47
% 92.23/92.47 Here is a proof with depth 4, length 52 :
% 92.23/92.47 % SZS output start Refutation
% See solution above
% 92.23/92.47 Formulae used in the proof : pred_a40_406_a44__a32_0_a41_ and_a40_pred_a40_conjunct2_a40_405_a41__a44__a32_5_a41__a44__a32_and_a40_pred_a40_s2_a40_plural_a40_conjunct2_a40_405_a41__a41__a41__a44__a32_0_a41__a44__a32_and_a40_pred_a40_s1_a40_plural_a40_conjunct2_a40_405_a41__a41__a41__a44__a32_0_a41__a44__a32_and_a40_pred_a40_conjunct2_a40_405_a41__a44__a32_1_a41__a44__a32_and_a40_pred_a40_conjunct1_a40_405_a41__a44__a32_9_a41__a44__a32_and_a40_pred_a40_conjunct1_a40_405_a41__a44__a32_8_a41__a44__a32_and_a40_pred_a40_conjunct1_a40_405_a41__a44__a32_7_a41__a44__a32_and_a40_qe_a40_s3_a40_plural_a40_405_a41__a41__a41__a44__a32_and_a40_qe_a40_s2_a40_plural_a40_405_a41__a41__a41__a44__a32_qe_a40_s1_a40_plural_a40_405_a41__a41__a41__a41__a41__a41__a41__a41__a41__a41__a41__a41_ pred_a40_axiom_a40_137_a41__a44__a32_2_a41_ holds_a40_conjunct2_a40_conjunct2_a40_conjunct2_a40_406_a41__a41__a41__a44__a32_1413_a44__a32_0_a41_ qu_a40_cond_a40_axiom_a40_51_a41__a44__a32_0_a41__a44__a32_imp_a40_cond_a40_axiom_a40_51_a41__a44__a32_0_a41__a41__a41_ qu_a40_cond_a40_axiom_a40_29_a41__a44__a32_0_a41__a44__a32_imp_a40_cond_a40_axiom_a40_29_a41__a44__a32_0_a41__a41__a41_ pred_a40_axiom_a40_5_a41__a44__a32_0_a41_ holds_a40_conjunct1_a40_conjunct2_a40_406_a41__a41__a44__a32_1411_a44__a32_0_a41_ holds_a40_407_a44__a32_1414_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_168_a41__a44__a32_0_a41__a44__a32_imp_a40_cond_a40_axiom_a40_168_a41__a44__a32_0_a41__a41__a41_ ass_a40_cond_a40_goal_a40_340_a41__a44__a32_0_a41__a44__a32_1_a41_ ass_a40_cond_a40_goal_a40_264_a41__a44__a32_0_a41__a44__a32_1_a41_
% 92.23/92.47
%------------------------------------------------------------------------------