TSTP Solution File: GEO289+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO289+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n032.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 06:24:10 EDT 2022
% Result : Theorem 195.11s 195.38s
% Output : Refutation 195.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 19
% Syntax : Number of clauses : 39 ( 19 unt; 17 nHn; 39 RR)
% Number of literals : 234 ( 0 equ; 149 neg)
% Maximal clause size : 14 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 15 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
rpoint(vd1165),
file('GEO289+1.p',unknown),
[] ).
cnf(2,axiom,
rpoint(vd1164),
file('GEO289+1.p',unknown),
[] ).
cnf(3,axiom,
rpoint(vd1163),
file('GEO289+1.p',unknown),
[] ).
cnf(4,axiom,
rpoint(vd1158),
file('GEO289+1.p',unknown),
[] ).
cnf(5,axiom,
rpoint(vd1157),
file('GEO289+1.p',unknown),
[] ).
cnf(6,axiom,
rpoint(vd1156),
file('GEO289+1.p',unknown),
[] ).
cnf(15,axiom,
~ equal(vd1157,vd1158),
file('GEO289+1.p',unknown),
[] ).
cnf(16,axiom,
~ equal(vd1158,vd1156),
file('GEO289+1.p',unknown),
[] ).
cnf(17,axiom,
~ equal(vd1157,vd1156),
file('GEO289+1.p',unknown),
[] ).
cnf(50,axiom,
equal(vf(vd1163,vd1165),vf(vd1156,vd1158)),
file('GEO289+1.p',unknown),
[] ).
cnf(51,axiom,
equal(vf(vd1163,vd1164),vf(vd1156,vd1157)),
file('GEO289+1.p',unknown),
[] ).
cnf(69,axiom,
equal(vangle(vd1164,vd1163,vd1165),vangle(vd1157,vd1156,vd1158)),
file('GEO289+1.p',unknown),
[] ).
cnf(72,axiom,
~ equal(vangle(vd1163,vd1165,vd1164),vangle(vd1156,vd1158,vd1157)),
file('GEO289+1.p',unknown),
[] ).
cnf(94,axiom,
( ~ rline(u)
| ~ ron(vd1165,u)
| ~ ron(vd1163,u)
| ~ ron(vd1164,u) ),
file('GEO289+1.p',unknown),
[] ).
cnf(160,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ rpoint(w)
| equal(w,v)
| equal(w,u)
| equal(vangle(w,v,u),vangle(u,v,w)) ),
file('GEO289+1.p',unknown),
[] ).
cnf(243,axiom,
( ~ rpoint(u)
| ~ rpoint(v)
| ~ rpoint(w)
| ~ rpoint(x)
| ~ rpoint(y)
| ~ rpoint(z)
| ~ equal(vangle(v,u,w),vangle(y,x,z))
| ~ equal(vf(u,w),vf(x,z))
| ~ equal(vf(u,v),vf(x,y))
| rline(skf82(x1,x2,x3))
| equal(u,w)
| equal(u,v)
| equal(vangle(x,z,y),vangle(u,w,v))
| equal(v,w) ),
file('GEO289+1.p',unknown),
[] ).
cnf(256,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(w,skf82(w,x1,x2))
| equal(vangle(w,u,v),vangle(z,x,y)) ),
file('GEO289+1.p',unknown),
[] ).
cnf(257,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(v,skf82(w,v,x1))
| equal(vangle(w,u,v),vangle(z,x,y)) ),
file('GEO289+1.p',unknown),
[] ).
cnf(258,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,skf82(w,v,u))
| equal(vangle(w,u,v),vangle(z,x,y)) ),
file('GEO289+1.p',unknown),
[] ).
cnf(460,plain,
( ~ rpoint(vd1156)
| ~ rpoint(vd1157)
| ~ rpoint(vd1158)
| ~ rpoint(vd1163)
| ~ rpoint(vd1164)
| ~ rpoint(vd1165)
| ~ equal(vangle(vd1164,vd1163,vd1165),vangle(vd1157,vd1156,vd1158))
| ~ equal(vf(vd1163,vd1165),vf(vd1156,vd1158))
| ~ equal(vf(vd1163,vd1164),vf(vd1156,vd1157))
| ron(vd1165,skf82(vd1163,vd1164,vd1165))
| equal(vd1158,vd1156)
| equal(vd1157,vd1156)
| equal(vd1157,vd1158) ),
inference(res,[status(thm),theory(equality)],[258,72]),
[iquote('0:Res:258.12,72.0')] ).
cnf(461,plain,
( ~ rpoint(vd1156)
| ~ rpoint(vd1157)
| ~ rpoint(vd1158)
| ~ rpoint(vd1163)
| ~ rpoint(vd1164)
| ~ rpoint(vd1165)
| ~ equal(vangle(vd1164,vd1163,vd1165),vangle(vd1157,vd1156,vd1158))
| ~ equal(vf(vd1163,vd1165),vf(vd1156,vd1158))
| ~ equal(vf(vd1163,vd1164),vf(vd1156,vd1157))
| ron(vd1164,skf82(vd1163,vd1164,u))
| equal(vd1158,vd1156)
| equal(vd1157,vd1156)
| equal(vd1157,vd1158) ),
inference(res,[status(thm),theory(equality)],[257,72]),
[iquote('0:Res:257.12,72.0')] ).
cnf(462,plain,
( ~ rpoint(vd1156)
| ~ rpoint(vd1157)
| ~ rpoint(vd1158)
| ~ rpoint(vd1163)
| ~ rpoint(vd1164)
| ~ rpoint(vd1165)
| ~ equal(vangle(vd1164,vd1163,vd1165),vangle(vd1157,vd1156,vd1158))
| ~ equal(vf(vd1163,vd1165),vf(vd1156,vd1158))
| ~ equal(vf(vd1163,vd1164),vf(vd1156,vd1157))
| ron(vd1163,skf82(vd1163,u,v))
| equal(vd1158,vd1156)
| equal(vd1157,vd1156)
| equal(vd1157,vd1158) ),
inference(res,[status(thm),theory(equality)],[256,72]),
[iquote('0:Res:256.12,72.0')] ).
cnf(463,plain,
( ~ rpoint(vd1156)
| ~ rpoint(vd1157)
| ~ rpoint(vd1158)
| ~ rpoint(vd1163)
| ~ rpoint(vd1164)
| ~ rpoint(vd1165)
| ~ equal(vangle(vd1164,vd1163,vd1165),vangle(vd1157,vd1156,vd1158))
| ~ equal(vf(vd1163,vd1165),vf(vd1156,vd1158))
| ~ equal(vf(vd1163,vd1164),vf(vd1156,vd1157))
| rline(skf82(u,v,w))
| equal(vd1158,vd1156)
| equal(vd1157,vd1156)
| equal(vd1157,vd1158) ),
inference(res,[status(thm),theory(equality)],[243,72]),
[iquote('0:Res:243.12,72.0')] ).
cnf(1759,plain,
( ~ rpoint(vd1156)
| ~ rpoint(vd1157)
| ~ rpoint(vd1158)
| ~ rpoint(vd1163)
| ~ rpoint(vd1164)
| ~ rpoint(vd1165)
| ~ equal(vangle(vd1158,vd1156,vd1157),vangle(vd1158,vd1156,vd1157))
| ~ equal(vf(vd1156,vd1158),vf(vd1156,vd1158))
| ~ equal(vf(vd1156,vd1157),vf(vd1156,vd1157))
| rline(skf82(u,v,w))
| equal(vd1158,vd1156)
| equal(vd1157,vd1156)
| equal(vd1157,vd1158) ),
inference(rew,[status(thm),theory(equality)],[51,463,50,160,69]),
[iquote('0:Rew:51.0,463.8,50.0,463.7,160.5,463.6,69.0,463.6,160.5,463.6')] ).
cnf(1760,plain,
( ~ rpoint(vd1156)
| ~ rpoint(vd1157)
| ~ rpoint(vd1158)
| ~ rpoint(vd1163)
| ~ rpoint(vd1164)
| ~ rpoint(vd1165)
| rline(skf82(u,v,w))
| equal(vd1158,vd1156)
| equal(vd1157,vd1156)
| equal(vd1157,vd1158) ),
inference(obv,[status(thm),theory(equality)],[1759]),
[iquote('0:Obv:1759.8')] ).
cnf(1761,plain,
rline(skf82(u,v,w)),
inference(mrr,[status(thm)],[1760,6,5,4,3,2,1,16,17,15]),
[iquote('0:MRR:1760.0,1760.1,1760.2,1760.3,1760.4,1760.5,1760.7,1760.8,1760.9,6.0,5.0,4.0,3.0,2.0,1.0,16.0,17.0,15.0')] ).
cnf(1783,plain,
( ~ rpoint(vd1156)
| ~ rpoint(vd1157)
| ~ rpoint(vd1158)
| ~ rpoint(vd1163)
| ~ rpoint(vd1164)
| ~ rpoint(vd1165)
| ~ equal(vangle(vd1158,vd1156,vd1157),vangle(vd1158,vd1156,vd1157))
| ~ equal(vf(vd1156,vd1158),vf(vd1156,vd1158))
| ~ equal(vf(vd1156,vd1157),vf(vd1156,vd1157))
| ron(vd1163,skf82(vd1163,u,v))
| equal(vd1158,vd1156)
| equal(vd1157,vd1156)
| equal(vd1157,vd1158) ),
inference(rew,[status(thm),theory(equality)],[51,462,50,160,69]),
[iquote('0:Rew:51.0,462.8,50.0,462.7,160.5,462.6,69.0,462.6,160.5,462.6')] ).
cnf(1784,plain,
( ~ rpoint(vd1156)
| ~ rpoint(vd1157)
| ~ rpoint(vd1158)
| ~ rpoint(vd1163)
| ~ rpoint(vd1164)
| ~ rpoint(vd1165)
| ron(vd1163,skf82(vd1163,u,v))
| equal(vd1158,vd1156)
| equal(vd1157,vd1156)
| equal(vd1157,vd1158) ),
inference(obv,[status(thm),theory(equality)],[1783]),
[iquote('0:Obv:1783.8')] ).
cnf(1785,plain,
ron(vd1163,skf82(vd1163,u,v)),
inference(mrr,[status(thm)],[1784,6,5,4,3,2,1,16,17,15]),
[iquote('0:MRR:1784.0,1784.1,1784.2,1784.3,1784.4,1784.5,1784.7,1784.8,1784.9,6.0,5.0,4.0,3.0,2.0,1.0,16.0,17.0,15.0')] ).
cnf(1786,plain,
( ~ rpoint(vd1156)
| ~ rpoint(vd1157)
| ~ rpoint(vd1158)
| ~ rpoint(vd1163)
| ~ rpoint(vd1164)
| ~ rpoint(vd1165)
| ~ equal(vangle(vd1158,vd1156,vd1157),vangle(vd1158,vd1156,vd1157))
| ~ equal(vf(vd1156,vd1158),vf(vd1156,vd1158))
| ~ equal(vf(vd1156,vd1157),vf(vd1156,vd1157))
| ron(vd1164,skf82(vd1163,vd1164,u))
| equal(vd1158,vd1156)
| equal(vd1157,vd1156)
| equal(vd1157,vd1158) ),
inference(rew,[status(thm),theory(equality)],[51,461,50,160,69]),
[iquote('0:Rew:51.0,461.8,50.0,461.7,160.5,461.6,69.0,461.6,160.5,461.6')] ).
cnf(1787,plain,
( ~ rpoint(vd1156)
| ~ rpoint(vd1157)
| ~ rpoint(vd1158)
| ~ rpoint(vd1163)
| ~ rpoint(vd1164)
| ~ rpoint(vd1165)
| ron(vd1164,skf82(vd1163,vd1164,u))
| equal(vd1158,vd1156)
| equal(vd1157,vd1156)
| equal(vd1157,vd1158) ),
inference(obv,[status(thm),theory(equality)],[1786]),
[iquote('0:Obv:1786.8')] ).
cnf(1788,plain,
ron(vd1164,skf82(vd1163,vd1164,u)),
inference(mrr,[status(thm)],[1787,6,5,4,3,2,1,16,17,15]),
[iquote('0:MRR:1787.0,1787.1,1787.2,1787.3,1787.4,1787.5,1787.7,1787.8,1787.9,6.0,5.0,4.0,3.0,2.0,1.0,16.0,17.0,15.0')] ).
cnf(1789,plain,
( ~ rpoint(vd1156)
| ~ rpoint(vd1157)
| ~ rpoint(vd1158)
| ~ rpoint(vd1163)
| ~ rpoint(vd1164)
| ~ rpoint(vd1165)
| ~ equal(vangle(vd1158,vd1156,vd1157),vangle(vd1158,vd1156,vd1157))
| ~ equal(vf(vd1156,vd1158),vf(vd1156,vd1158))
| ~ equal(vf(vd1156,vd1157),vf(vd1156,vd1157))
| ron(vd1165,skf82(vd1163,vd1164,vd1165))
| equal(vd1158,vd1156)
| equal(vd1157,vd1156)
| equal(vd1157,vd1158) ),
inference(rew,[status(thm),theory(equality)],[51,460,50,160,69]),
[iquote('0:Rew:51.0,460.8,50.0,460.7,160.5,460.6,69.0,460.6,160.5,460.6')] ).
cnf(1790,plain,
( ~ rpoint(vd1156)
| ~ rpoint(vd1157)
| ~ rpoint(vd1158)
| ~ rpoint(vd1163)
| ~ rpoint(vd1164)
| ~ rpoint(vd1165)
| ron(vd1165,skf82(vd1163,vd1164,vd1165))
| equal(vd1158,vd1156)
| equal(vd1157,vd1156)
| equal(vd1157,vd1158) ),
inference(obv,[status(thm),theory(equality)],[1789]),
[iquote('0:Obv:1789.8')] ).
cnf(1791,plain,
ron(vd1165,skf82(vd1163,vd1164,vd1165)),
inference(mrr,[status(thm)],[1790,6,5,4,3,2,1,16,17,15]),
[iquote('0:MRR:1790.0,1790.1,1790.2,1790.3,1790.4,1790.5,1790.7,1790.8,1790.9,6.0,5.0,4.0,3.0,2.0,1.0,16.0,17.0,15.0')] ).
cnf(3127,plain,
( ~ rline(skf82(vd1163,vd1164,u))
| ~ ron(vd1165,skf82(vd1163,vd1164,u))
| ~ ron(vd1163,skf82(vd1163,vd1164,u)) ),
inference(res,[status(thm),theory(equality)],[1788,94]),
[iquote('0:Res:1788.0,94.3')] ).
cnf(3132,plain,
( ~ ron(vd1165,skf82(vd1163,vd1164,u))
| ~ ron(vd1163,skf82(vd1163,vd1164,u)) ),
inference(ssi,[status(thm)],[3127,1761,3,2]),
[iquote('0:SSi:3127.0,1761.0,3.0,2.0')] ).
cnf(3133,plain,
~ ron(vd1165,skf82(vd1163,vd1164,u)),
inference(mrr,[status(thm)],[3132,1785]),
[iquote('0:MRR:3132.1,1785.0')] ).
cnf(3134,plain,
$false,
inference(unc,[status(thm)],[3133,1791]),
[iquote('0:UnC:3133.0,1791.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GEO289+1 : TPTP v8.1.0. Released v4.1.0.
% 0.00/0.09 % Command : run_spass %d %s
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 600
% 0.09/0.28 % DateTime : Sat Jun 18 03:23:16 EDT 2022
% 0.09/0.28 % CPUTime :
% 195.11/195.38
% 195.11/195.38 SPASS V 3.9
% 195.11/195.38 SPASS beiseite: Proof found.
% 195.11/195.38 % SZS status Theorem
% 195.11/195.38 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 195.11/195.38 SPASS derived 984 clauses, backtracked 480 clauses, performed 28 splits and kept 1505 clauses.
% 195.11/195.38 SPASS allocated 206867 KBytes.
% 195.11/195.38 SPASS spent 0:3:15.09 on the problem.
% 195.11/195.38 0:00:00.04 for the input.
% 195.11/195.38 0:03:09.58 for the FLOTTER CNF translation.
% 195.11/195.38 0:00:00.05 for inferences.
% 195.11/195.38 0:00:00.04 for the backtracking.
% 195.11/195.38 0:00:04.33 for the reduction.
% 195.11/195.38
% 195.11/195.38
% 195.11/195.38 Here is a proof with depth 2, length 39 :
% 195.11/195.38 % SZS output start Refutation
% See solution above
% 195.11/195.38 Formulae used in the proof : and_a40_neg_a40_neg_a40_conjunct2_a40_conjunct2_a40_conjunct2_a40_plural_a40_comma_conjunct2_a40_265_a41__a41__a41__a41__a41__a41__a41__a44__a32_and_a40_holds_a40_conjunct1_a40_conjunct2_a40_conjunct2_a40_plural_a40_comma_conjunct2_a40_265_a41__a41__a41__a41__a41__a44__a32_1172_a44__a32_0_a41__a44__a32_and_a40_holds_a40_conjunct1_a40_conjunct2_a40_plural_a40_comma_conjunct2_a40_265_a41__a41__a41__a41__a44__a32_1171_a44__a32_0_a41__a44__a32_and_a40_holds_a40_conjunct1_a40_plural_a40_comma_conjunct2_a40_265_a41__a41__a41__a44__a32_1170_a44__a32_0_a41__a44__a32_and_a40_qe_a40_s3_a40_plural_a40_comma_conjunct2_a40_265_a41__a41__a41__a41__a44__a32_and_a40_qe_a40_s2_a40_plural_a40_comma_conjunct2_a40_265_a41__a41__a41__a41__a44__a32_and_a40_qe_a40_s1_a40_plural_a40_comma_conjunct2_a40_265_a41__a41__a41__a41__a44__a32_and_a40_pred_a40_comma_conjunct1_a40_265_a41__a44__a32_9_a41__a44__a32_and_a40_pred_a40_comma_conjunct1_a40_265_a41__a44__a32_8_a41__a44__a32_and_a40_pred_a40_comma_conjunct1_a40_265_a41__a44__a32_7_a41__a44__a32_and_a40_qe_a40_s3_a40_plural_a40_265_a41__a41__a41__a44__a32_and_a40_qe_a40_s2_a40_plural_a40_265_a41__a41__a41__a44__a32_qe_a40_s1_a40_plural_a40_265_a41__a41__a41__a41__a41__a41__a41__a41__a41__a41__a41__a41__a41__a41__a41_ holds_a40_conjunct2_a40_conjunct2_a40_266_a41__a41__a44__a32_1177_a44__a32_0_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_proof_a40_267_a41__a44__a32_0_a41__a44__a32_0_a41_
% 195.22/195.43
%------------------------------------------------------------------------------