TSTP Solution File: GEO331+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO331+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n019.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 06:24:21 EDT 2022
% Result : Theorem 2.21s 2.36s
% Output : Refutation 2.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of clauses : 15 ( 9 unt; 6 nHn; 15 RR)
% Number of literals : 56 ( 0 equ; 28 neg)
% Maximal clause size : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
rpoint(vd1354),
file('GEO331+1.p',unknown),
[] ).
cnf(2,axiom,
rpoint(vd1353),
file('GEO331+1.p',unknown),
[] ).
cnf(3,axiom,
rpoint(vd1352),
file('GEO331+1.p',unknown),
[] ).
cnf(12,axiom,
~ equal(vd1354,vd1353),
file('GEO331+1.p',unknown),
[] ).
cnf(13,axiom,
~ equal(vd1354,vd1352),
file('GEO331+1.p',unknown),
[] ).
cnf(14,axiom,
~ equal(vd1353,vd1352),
file('GEO331+1.p',unknown),
[] ).
cnf(59,axiom,
~ equal(vf(vd1352,vd1354),vf(vd1352,vd1353)),
file('GEO331+1.p',unknown),
[] ).
cnf(67,axiom,
equal(vangle(vd1352,vd1354,vd1353),vangle(vd1352,vd1353,vd1354)),
file('GEO331+1.p',unknown),
[] ).
cnf(216,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ rpoint(w)
| ~ equal(vangle(u,v,w),vangle(u,w,v))
| ~ rless(vf(u,w),vf(u,v))
| equal(u,w)
| equal(u,v)
| equal(vf(u,v),vf(u,w))
| equal(v,w) ),
file('GEO331+1.p',unknown),
[] ).
cnf(223,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ rpoint(w)
| ~ equal(vangle(u,v,w),vangle(u,w,v))
| equal(u,w)
| equal(u,v)
| equal(vf(u,v),vf(u,w))
| rless(vf(u,v),vf(u,w))
| rless(vf(u,w),vf(u,v))
| equal(v,w) ),
file('GEO331+1.p',unknown),
[] ).
cnf(283,plain,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ rpoint(w)
| ~ equal(vangle(w,v,u),vangle(w,u,v))
| equal(v,u)
| equal(w,v)
| equal(w,u)
| equal(vf(w,v),vf(w,u)) ),
inference(mrr,[status(thm)],[223,216]),
[iquote('0:MRR:223.7,223.8,216.4,216.4')] ).
cnf(446,plain,
( ~ rpoint(vd1352)
| ~ rpoint(vd1353)
| ~ rpoint(vd1354)
| ~ equal(vangle(vd1352,vd1354,vd1353),vangle(vd1352,vd1353,vd1354))
| equal(vd1354,vd1352)
| equal(vd1353,vd1352)
| equal(vd1354,vd1353) ),
inference(res,[status(thm),theory(equality)],[283,59]),
[iquote('0:Res:283.6,59.0')] ).
cnf(582,plain,
( ~ rpoint(vd1352)
| ~ rpoint(vd1353)
| ~ rpoint(vd1354)
| ~ equal(vangle(vd1352,vd1353,vd1354),vangle(vd1352,vd1353,vd1354))
| equal(vd1354,vd1352)
| equal(vd1353,vd1352)
| equal(vd1354,vd1353) ),
inference(rew,[status(thm),theory(equality)],[67,446]),
[iquote('0:Rew:67.0,446.3')] ).
cnf(583,plain,
( ~ rpoint(vd1352)
| ~ rpoint(vd1353)
| ~ rpoint(vd1354)
| equal(vd1354,vd1352)
| equal(vd1353,vd1352)
| equal(vd1354,vd1353) ),
inference(obv,[status(thm),theory(equality)],[582]),
[iquote('0:Obv:582.3')] ).
cnf(584,plain,
$false,
inference(mrr,[status(thm)],[583,3,2,1,13,14,12]),
[iquote('0:MRR:583.0,583.1,583.2,583.3,583.4,583.5,3.0,2.0,1.0,13.0,14.0,12.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO331+1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n019.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 15:59:39 EDT 2022
% 0.13/0.34 % CPUTime :
% 2.21/2.36
% 2.21/2.36 SPASS V 3.9
% 2.21/2.36 SPASS beiseite: Proof found.
% 2.21/2.36 % SZS status Theorem
% 2.21/2.36 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.21/2.36 SPASS derived 58 clauses, backtracked 0 clauses, performed 0 splits and kept 264 clauses.
% 2.21/2.36 SPASS allocated 110853 KBytes.
% 2.21/2.36 SPASS spent 0:00:02.01 on the problem.
% 2.21/2.36 0:00:00.04 for the input.
% 2.21/2.36 0:00:01.79 for the FLOTTER CNF translation.
% 2.21/2.36 0:00:00.00 for inferences.
% 2.21/2.36 0:00:00.00 for the backtracking.
% 2.21/2.36 0:00:00.12 for the reduction.
% 2.21/2.36
% 2.21/2.36
% 2.21/2.36 Here is a proof with depth 1, length 15 :
% 2.21/2.36 % SZS output start Refutation
% See solution above
% 2.21/2.36 Formulae used in the proof : qe_a40_s3_a40_plural_a40_383_a41__a41__a41_ qe_a40_s2_a40_plural_a40_383_a41__a41__a41_ qe_a40_s1_a40_plural_a40_383_a41__a41__a41_ pred_a40_383_a44__a32_9_a41_ pred_a40_383_a44__a32_8_a41_ pred_a40_383_a44__a32_7_a41_ holds_a40_384_a44__a32_1360_a44__a32_0_a41_ holds_a40_383_a44__a32_1356_a44__a32_0_a41_ ass_a40_cond_a40_proof_a40_385_a41__a44__a32_0_a41__a44__a32_2_a41_ ass_a40_cond_a40_proof_a40_385_a41__a44__a32_0_a41__a44__a32_0_a41_
% 2.21/2.36
%------------------------------------------------------------------------------