%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO598+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n016.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 06:25:26 EDT 2022
% Result : Theorem 25.94s 26.18s
% Output : Refutation 25.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 20
% Syntax : Number of clauses : 52 ( 15 unt; 2 nHn; 52 RR)
% Number of literals : 114 ( 0 equ; 61 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 19 ( 19 usr; 18 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
midp(skc12,skc17,skc18),
file('GEO598+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ midp(u,v,w)
| midp(u,w,v) ),
file('GEO598+1.p',unknown),
[] ).
cnf(13,axiom,
~ eqangle(skc11,skc12,skc12,skc13,skc13,skc12,skc12,skc10),
file('GEO598+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ para(u,v,w,x)
| para(u,v,x,w) ),
file('GEO598+1.p',unknown),
[] ).
cnf(34,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO598+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO598+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO598+1.p',unknown),
[] ).
cnf(39,axiom,
( ~ midp(u,v,w)
| ~ midp(u,x,y)
| para(x,v,y,w) ),
file('GEO598+1.p',unknown),
[] ).
cnf(45,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO598+1.p',unknown),
[] ).
cnf(48,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO598+1.p',unknown),
[] ).
cnf(50,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO598+1.p',unknown),
[] ).
cnf(56,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO598+1.p',unknown),
[] ).
cnf(58,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO598+1.p',unknown),
[] ).
cnf(63,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO598+1.p',unknown),
[] ).
cnf(70,axiom,
( ~ perp(u,v,v,w)
| ~ cyclic(u,w,v,x)
| circle(skf35(v,w,u),u,w,v) ),
file('GEO598+1.p',unknown),
[] ).
cnf(80,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO598+1.p',unknown),
[] ).
cnf(93,axiom,
( ~ perp(u,v,v,w)
| ~ circle(u,v,x,y)
| eqangle(v,w,v,x,y,v,y,x) ),
file('GEO598+1.p',unknown),
[] ).
cnf(96,axiom,
( ~ cyclic(u,v,w,x)
| ~ cong(u,x,v,x)
| ~ cong(u,w,v,w)
| perp(w,u,u,x) ),
file('GEO598+1.p',unknown),
[] ).
cnf(116,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| ~ eqangle(x3,x4,x5,x6,u,v,w,x)
| eqangle(x3,x4,x5,x6,y,z,x1,x2) ),
file('GEO598+1.p',unknown),
[] ).
cnf(122,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| ~ cyclic(u,v,w,z)
| ~ eqangle(w,u,w,v,z,x,z,y)
| cong(u,v,x,y) ),
file('GEO598+1.p',unknown),
[] ).
cnf(213,plain,
midp(skc12,skc18,skc17),
inference(res,[status(thm),theory(equality)],[2,11]),
[iquote('0:Res:2.0,11.0')] ).
cnf(215,plain,
( ~ midp(skc12,u,v)
| para(u,skc17,v,skc18) ),
inference(res,[status(thm),theory(equality)],[2,39]),
[iquote('0:Res:2.0,39.1')] ).
cnf(1162,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[35,58]),
[iquote('0:Res:35.1,58.0')] ).
cnf(1198,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[35,56]),
[iquote('0:Res:35.1,56.0')] ).
cnf(2244,plain,
( ~ para(u,v,w,x)
| ~ eqangle(y,z,x1,x2,u,v,x3,x4)
| eqangle(y,z,x1,x2,w,x,x3,x4) ),
inference(res,[status(thm),theory(equality)],[35,116]),
[iquote('0:Res:35.1,116.0')] ).
cnf(2364,plain,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| ~ cyclic(u,v,w,x)
| cong(u,v,u,v) ),
inference(res,[status(thm),theory(equality)],[36,122]),
[iquote('0:Res:36.1,122.3')] ).
cnf(2366,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| ~ cyclic(u,v,w,x)
| cong(u,v,u,v) ),
inference(obv,[status(thm),theory(equality)],[2364]),
[iquote('0:Obv:2364.0')] ).
cnf(2367,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[2366]),
[iquote('0:Con:2366.2')] ).
cnf(2769,plain,
( ~ midp(skc12,u,v)
| para(u,skc17,skc18,v) ),
inference(res,[status(thm),theory(equality)],[215,16]),
[iquote('0:Res:215.1,16.0')] ).
cnf(4573,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1162,63]),
[iquote('0:Res:1162.1,63.0')] ).
cnf(4584,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1162,80]),
[iquote('0:Res:1162.1,80.1')] ).
cnf(4598,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[4584,4573]),
[iquote('0:MRR:4584.1,4573.1')] ).
cnf(4857,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1198,34]),
[iquote('0:Res:1198.1,34.0')] ).
cnf(8753,plain,
( ~ para(u,v,w,x)
| ~ para(y,z,x1,x2)
| eqangle(y,z,u,v,x1,x2,w,x) ),
inference(res,[status(thm),theory(equality)],[1198,2244]),
[iquote('0:Res:1198.1,2244.1')] ).
cnf(17345,plain,
( ~ midp(skc12,skc18,skc17)
| para(u,v,u,v) ),
inference(res,[status(thm),theory(equality)],[2769,4857]),
[iquote('0:Res:2769.1,4857.0')] ).
cnf(17358,plain,
para(u,v,u,v),
inference(mrr,[status(thm)],[17345,213]),
[iquote('0:MRR:17345.0,213.0')] ).
cnf(17362,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[4598,17358]),
[iquote('0:MRR:4598.0,17358.0')] ).
cnf(19111,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[17362,96]),
[iquote('0:Res:17362.0,96.0')] ).
cnf(19112,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[17362,48]),
[iquote('0:Res:17362.0,48.0')] ).
cnf(19239,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[19112,17362]),
[iquote('0:MRR:19112.0,17362.0')] ).
cnf(19243,plain,
( ~ eqangle(u,v,u,w,x,y,x,z)
| cong(v,w,y,z) ),
inference(mrr,[status(thm)],[122,19239]),
[iquote('0:MRR:122.2,122.1,122.0,19239.0')] ).
cnf(19258,plain,
( ~ perp(u,v,v,w)
| circle(skf35(v,w,u),u,w,v) ),
inference(mrr,[status(thm)],[70,19239]),
[iquote('0:MRR:70.1,19239.0')] ).
cnf(19260,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[2367,19239]),
[iquote('0:MRR:2367.1,2367.0,19239.0')] ).
cnf(19743,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[19111,19260]),
[iquote('0:MRR:19111.0,19111.1,19260.0,19260.0')] ).
cnf(19749,plain,
( ~ circle(u,v,w,x)
| eqangle(v,y,v,w,x,v,x,w) ),
inference(mrr,[status(thm)],[93,19743]),
[iquote('0:MRR:93.0,19743.0')] ).
cnf(19767,plain,
circle(skf35(u,v,w),w,v,u),
inference(mrr,[status(thm)],[19258,19743]),
[iquote('0:MRR:19258.0,19743.0')] ).
cnf(24120,plain,
eqangle(u,v,u,w,x,u,x,w),
inference(res,[status(thm),theory(equality)],[19767,19749]),
[iquote('0:Res:19767.0,19749.0')] ).
cnf(25635,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[24120,19243]),
[iquote('0:Res:24120.0,19243.0')] ).
cnf(25655,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[50,25635]),
[iquote('0:MRR:50.1,50.0,25635.0')] ).
cnf(25676,plain,
para(u,v,w,x),
inference(mrr,[status(thm)],[45,25655]),
[iquote('0:MRR:45.1,45.0,25655.0')] ).
cnf(26857,plain,
eqangle(u,v,w,x,y,z,x1,x2),
inference(mrr,[status(thm)],[8753,25676]),
[iquote('0:MRR:8753.1,8753.0,25676.0')] ).
cnf(27829,plain,
$false,
inference(unc,[status(thm)],[26857,13]),
[iquote('0:UnC:26857.0,13.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO598+1 : TPTP v8.1.0. Released v7.5.0.
% 0.04/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n016.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 08:30:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 25.94/26.18
% 25.94/26.18 SPASS V 3.9
% 25.94/26.18 SPASS beiseite: Proof found.
% 25.94/26.18 % SZS status Theorem
% 25.94/26.18 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 25.94/26.18 SPASS derived 26858 clauses, backtracked 0 clauses, performed 0 splits and kept 14799 clauses.
% 25.94/26.18 SPASS allocated 104642 KBytes.
% 25.94/26.18 SPASS spent 0:0:25.72 on the problem.
% 25.94/26.18 0:00:00.04 for the input.
% 25.94/26.18 0:00:00.21 for the FLOTTER CNF translation.
% 25.94/26.18 0:00:00.60 for inferences.
% 25.94/26.18 0:00:00.00 for the backtracking.
% 25.94/26.18 0:0:24.31 for the reduction.
% 25.94/26.18
% 25.94/26.18
% 25.94/26.18 Here is a proof with depth 3, length 52 :
% 25.94/26.18 % SZS output start Refutation
% See solution above
% 25.94/26.18 Formulae used in the proof : exemplo6GDDFULL416060 ruleD11 ruleD4 ruleD39 ruleD40 ruleD41 ruleD63 ruleD9 ruleD17 ruleD56 ruleD19 ruleD21 ruleD42a ruleX14 ruleD42b ruleD48 ruleD57 ruleD22 ruleD43
% 25.94/26.18
%------------------------------------------------------------------------------