TSTP Solution File: GEO288+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO288+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n022.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 237.62s 237.90s
% Output : Refutation 237.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 18
% Syntax : Number of clauses : 37 ( 18 unt; 16 nHn; 37 RR)
% Number of literals : 227 ( 0 equ; 145 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('GEO288+1.p',unknown),
[] ).
cnf(2,axiom,
rpoint(vd1164),
file('GEO288+1.p',unknown),
[] ).
cnf(3,axiom,
rpoint(vd1163),
file('GEO288+1.p',unknown),
[] ).
cnf(4,axiom,
rpoint(vd1158),
file('GEO288+1.p',unknown),
[] ).
cnf(5,axiom,
rpoint(vd1157),
file('GEO288+1.p',unknown),
[] ).
cnf(6,axiom,
rpoint(vd1156),
file('GEO288+1.p',unknown),
[] ).
cnf(15,axiom,
~ equal(vd1158,vd1157),
file('GEO288+1.p',unknown),
[] ).
cnf(16,axiom,
~ equal(vd1158,vd1156),
file('GEO288+1.p',unknown),
[] ).
cnf(17,axiom,
~ equal(vd1157,vd1156),
file('GEO288+1.p',unknown),
[] ).
cnf(50,axiom,
equal(vf(vd1163,vd1165),vf(vd1156,vd1158)),
file('GEO288+1.p',unknown),
[] ).
cnf(51,axiom,
equal(vf(vd1163,vd1164),vf(vd1156,vd1157)),
file('GEO288+1.p',unknown),
[] ).
cnf(68,axiom,
equal(vangle(vd1164,vd1163,vd1165),vangle(vd1157,vd1156,vd1158)),
file('GEO288+1.p',unknown),
[] ).
cnf(71,axiom,
~ equal(vangle(vd1163,vd1164,vd1165),vangle(vd1156,vd1157,vd1158)),
file('GEO288+1.p',unknown),
[] ).
cnf(93,axiom,
( ~ rline(u)
| ~ ron(vd1165,u)
| ~ ron(vd1163,u)
| ~ ron(vd1164,u) ),
file('GEO288+1.p',unknown),
[] ).
cnf(241,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(skf83(x1,x2,x3))
| equal(u,w)
| equal(u,v)
| equal(vangle(x,y,z),vangle(u,v,w))
| equal(v,w) ),
file('GEO288+1.p',unknown),
[] ).
cnf(252,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,skf83(w,x1,x2))
| equal(vangle(w,v,u),vangle(z,y,x)) ),
file('GEO288+1.p',unknown),
[] ).
cnf(253,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,skf83(w,v,x1))
| equal(vangle(w,v,u),vangle(z,y,x)) ),
file('GEO288+1.p',unknown),
[] ).
cnf(254,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,skf83(w,v,u))
| equal(vangle(w,v,u),vangle(z,y,x)) ),
file('GEO288+1.p',unknown),
[] ).
cnf(455,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,skf83(vd1163,vd1164,vd1165))
| equal(vd1158,vd1156)
| equal(vd1157,vd1156)
| equal(vd1158,vd1157) ),
inference(res,[status(thm),theory(equality)],[254,71]),
[iquote('0:Res:254.12,71.0')] ).
cnf(456,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,skf83(vd1163,vd1164,u))
| equal(vd1158,vd1156)
| equal(vd1157,vd1156)
| equal(vd1158,vd1157) ),
inference(res,[status(thm),theory(equality)],[253,71]),
[iquote('0:Res:253.12,71.0')] ).
cnf(457,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,skf83(vd1163,u,v))
| equal(vd1158,vd1156)
| equal(vd1157,vd1156)
| equal(vd1158,vd1157) ),
inference(res,[status(thm),theory(equality)],[252,71]),
[iquote('0:Res:252.12,71.0')] ).
cnf(458,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(skf83(u,v,w))
| equal(vd1158,vd1156)
| equal(vd1157,vd1156)
| equal(vd1158,vd1157) ),
inference(res,[status(thm),theory(equality)],[241,71]),
[iquote('0:Res:241.12,71.0')] ).
cnf(1761,plain,
( ~ rpoint(vd1156)
| ~ rpoint(vd1157)
| ~ rpoint(vd1158)
| ~ rpoint(vd1163)
| ~ rpoint(vd1164)
| ~ rpoint(vd1165)
| ~ equal(vangle(vd1157,vd1156,vd1158),vangle(vd1157,vd1156,vd1158))
| ~ equal(vf(vd1156,vd1158),vf(vd1156,vd1158))
| ~ equal(vf(vd1156,vd1157),vf(vd1156,vd1157))
| rline(skf83(u,v,w))
| equal(vd1158,vd1156)
| equal(vd1157,vd1156)
| equal(vd1158,vd1157) ),
inference(rew,[status(thm),theory(equality)],[51,458,50,68]),
[iquote('0:Rew:51.0,458.8,50.0,458.7,68.0,458.6')] ).
cnf(1762,plain,
( ~ rpoint(vd1156)
| ~ rpoint(vd1157)
| ~ rpoint(vd1158)
| ~ rpoint(vd1163)
| ~ rpoint(vd1164)
| ~ rpoint(vd1165)
| rline(skf83(u,v,w))
| equal(vd1158,vd1156)
| equal(vd1157,vd1156)
| equal(vd1158,vd1157) ),
inference(obv,[status(thm),theory(equality)],[1761]),
[iquote('0:Obv:1761.8')] ).
cnf(1763,plain,
rline(skf83(u,v,w)),
inference(mrr,[status(thm)],[1762,6,5,4,3,2,1,16,17,15]),
[iquote('0:MRR:1762.0,1762.1,1762.2,1762.3,1762.4,1762.5,1762.7,1762.8,1762.9,6.0,5.0,4.0,3.0,2.0,1.0,16.0,17.0,15.0')] ).
cnf(1791,plain,
( ~ rpoint(vd1156)
| ~ rpoint(vd1157)
| ~ rpoint(vd1158)
| ~ rpoint(vd1163)
| ~ rpoint(vd1164)
| ~ rpoint(vd1165)
| ~ equal(vangle(vd1157,vd1156,vd1158),vangle(vd1157,vd1156,vd1158))
| ~ equal(vf(vd1156,vd1158),vf(vd1156,vd1158))
| ~ equal(vf(vd1156,vd1157),vf(vd1156,vd1157))
| ron(vd1163,skf83(vd1163,u,v))
| equal(vd1158,vd1156)
| equal(vd1157,vd1156)
| equal(vd1158,vd1157) ),
inference(rew,[status(thm),theory(equality)],[51,457,50,68]),
[iquote('0:Rew:51.0,457.8,50.0,457.7,68.0,457.6')] ).
cnf(1792,plain,
( ~ rpoint(vd1156)
| ~ rpoint(vd1157)
| ~ rpoint(vd1158)
| ~ rpoint(vd1163)
| ~ rpoint(vd1164)
| ~ rpoint(vd1165)
| ron(vd1163,skf83(vd1163,u,v))
| equal(vd1158,vd1156)
| equal(vd1157,vd1156)
| equal(vd1158,vd1157) ),
inference(obv,[status(thm),theory(equality)],[1791]),
[iquote('0:Obv:1791.8')] ).
cnf(1793,plain,
ron(vd1163,skf83(vd1163,u,v)),
inference(mrr,[status(thm)],[1792,6,5,4,3,2,1,16,17,15]),
[iquote('0:MRR:1792.0,1792.1,1792.2,1792.3,1792.4,1792.5,1792.7,1792.8,1792.9,6.0,5.0,4.0,3.0,2.0,1.0,16.0,17.0,15.0')] ).
cnf(1794,plain,
( ~ rpoint(vd1156)
| ~ rpoint(vd1157)
| ~ rpoint(vd1158)
| ~ rpoint(vd1163)
| ~ rpoint(vd1164)
| ~ rpoint(vd1165)
| ~ equal(vangle(vd1157,vd1156,vd1158),vangle(vd1157,vd1156,vd1158))
| ~ equal(vf(vd1156,vd1158),vf(vd1156,vd1158))
| ~ equal(vf(vd1156,vd1157),vf(vd1156,vd1157))
| ron(vd1164,skf83(vd1163,vd1164,u))
| equal(vd1158,vd1156)
| equal(vd1157,vd1156)
| equal(vd1158,vd1157) ),
inference(rew,[status(thm),theory(equality)],[51,456,50,68]),
[iquote('0:Rew:51.0,456.8,50.0,456.7,68.0,456.6')] ).
cnf(1795,plain,
( ~ rpoint(vd1156)
| ~ rpoint(vd1157)
| ~ rpoint(vd1158)
| ~ rpoint(vd1163)
| ~ rpoint(vd1164)
| ~ rpoint(vd1165)
| ron(vd1164,skf83(vd1163,vd1164,u))
| equal(vd1158,vd1156)
| equal(vd1157,vd1156)
| equal(vd1158,vd1157) ),
inference(obv,[status(thm),theory(equality)],[1794]),
[iquote('0:Obv:1794.8')] ).
cnf(1796,plain,
ron(vd1164,skf83(vd1163,vd1164,u)),
inference(mrr,[status(thm)],[1795,6,5,4,3,2,1,16,17,15]),
[iquote('0:MRR:1795.0,1795.1,1795.2,1795.3,1795.4,1795.5,1795.7,1795.8,1795.9,6.0,5.0,4.0,3.0,2.0,1.0,16.0,17.0,15.0')] ).
cnf(1797,plain,
( ~ rpoint(vd1156)
| ~ rpoint(vd1157)
| ~ rpoint(vd1158)
| ~ rpoint(vd1163)
| ~ rpoint(vd1164)
| ~ rpoint(vd1165)
| ~ equal(vangle(vd1157,vd1156,vd1158),vangle(vd1157,vd1156,vd1158))
| ~ equal(vf(vd1156,vd1158),vf(vd1156,vd1158))
| ~ equal(vf(vd1156,vd1157),vf(vd1156,vd1157))
| ron(vd1165,skf83(vd1163,vd1164,vd1165))
| equal(vd1158,vd1156)
| equal(vd1157,vd1156)
| equal(vd1158,vd1157) ),
inference(rew,[status(thm),theory(equality)],[51,455,50,68]),
[iquote('0:Rew:51.0,455.8,50.0,455.7,68.0,455.6')] ).
cnf(1798,plain,
( ~ rpoint(vd1156)
| ~ rpoint(vd1157)
| ~ rpoint(vd1158)
| ~ rpoint(vd1163)
| ~ rpoint(vd1164)
| ~ rpoint(vd1165)
| ron(vd1165,skf83(vd1163,vd1164,vd1165))
| equal(vd1158,vd1156)
| equal(vd1157,vd1156)
| equal(vd1158,vd1157) ),
inference(obv,[status(thm),theory(equality)],[1797]),
[iquote('0:Obv:1797.8')] ).
cnf(1799,plain,
ron(vd1165,skf83(vd1163,vd1164,vd1165)),
inference(mrr,[status(thm)],[1798,6,5,4,3,2,1,16,17,15]),
[iquote('0:MRR:1798.0,1798.1,1798.2,1798.3,1798.4,1798.5,1798.7,1798.8,1798.9,6.0,5.0,4.0,3.0,2.0,1.0,16.0,17.0,15.0')] ).
cnf(3432,plain,
( ~ rline(skf83(vd1163,vd1164,vd1165))
| ~ ron(vd1163,skf83(vd1163,vd1164,vd1165))
| ~ ron(vd1164,skf83(vd1163,vd1164,vd1165)) ),
inference(res,[status(thm),theory(equality)],[1799,93]),
[iquote('0:Res:1799.0,93.1')] ).
cnf(3437,plain,
( ~ ron(vd1163,skf83(vd1163,vd1164,vd1165))
| ~ ron(vd1164,skf83(vd1163,vd1164,vd1165)) ),
inference(ssi,[status(thm)],[3432,1763,3,2,1]),
[iquote('0:SSi:3432.0,1763.0,3.0,2.0,1.0')] ).
cnf(3438,plain,
$false,
inference(mrr,[status(thm)],[3437,1793,1796]),
[iquote('0:MRR:3437.0,3437.1,1793.0,1796.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO288+1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sat Jun 18 06:38:32 EDT 2022
% 0.14/0.34 % CPUTime :
% 237.62/237.90
% 237.62/237.90 SPASS V 3.9
% 237.62/237.90 SPASS beiseite: Proof found.
% 237.62/237.90 % SZS status Theorem
% 237.62/237.90 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 237.62/237.90 SPASS derived 1135 clauses, backtracked 653 clauses, performed 32 splits and kept 1802 clauses.
% 237.62/237.90 SPASS allocated 206867 KBytes.
% 237.62/237.90 SPASS spent 0:3:57.55 on the problem.
% 237.62/237.90 0:00:00.05 for the input.
% 237.62/237.90 0:3:50.44 for the FLOTTER CNF translation.
% 237.62/237.90 0:00:00.05 for inferences.
% 237.62/237.90 0:00:00.06 for the backtracking.
% 237.62/237.90 0:00:05.76 for the reduction.
% 237.62/237.90
% 237.62/237.90
% 237.62/237.90 Here is a proof with depth 2, length 37 :
% 237.62/237.90 % SZS output start Refutation
% See solution above
% 237.62/237.90 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_conjunct1_a40_conjunct2_a40_266_a41__a41__a44__a32_1176_a44__a32_0_a41_ ass_a40_cond_a40_proof_a40_267_a41__a44__a32_0_a41__a44__a32_1_a41_
% 237.73/237.97
%------------------------------------------------------------------------------