TSTP Solution File: KLE027+4 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : KLE027+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n023.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 : Sun Jul 17 02:28:08 EDT 2022
% Result : Theorem 0.38s 0.61s
% Output : Refutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 22
% Syntax : Number of clauses : 90 ( 43 unt; 2 nHn; 90 RR)
% Number of literals : 149 ( 0 equ; 75 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 12 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
test__dfg(skc9),
file('KLE027+4.p',unknown),
[] ).
cnf(3,axiom,
equal(addition(u,zero),u),
file('KLE027+4.p',unknown),
[] ).
cnf(4,axiom,
equal(addition(u,u),u),
file('KLE027+4.p',unknown),
[] ).
cnf(6,axiom,
equal(multiplication(one,u),u),
file('KLE027+4.p',unknown),
[] ).
cnf(7,axiom,
equal(multiplication(u,zero),zero),
file('KLE027+4.p',unknown),
[] ).
cnf(8,axiom,
equal(multiplication(zero,u),zero),
file('KLE027+4.p',unknown),
[] ).
cnf(9,axiom,
( ~ complement(u,v)
| test__dfg(v) ),
file('KLE027+4.p',unknown),
[] ).
cnf(10,axiom,
( test__dfg(u)
| equal(c(u),zero) ),
file('KLE027+4.p',unknown),
[] ).
cnf(11,axiom,
equal(addition(u,v),addition(v,u)),
file('KLE027+4.p',unknown),
[] ).
cnf(12,axiom,
( ~ test__dfg(u)
| complement(skf1(u),u) ),
file('KLE027+4.p',unknown),
[] ).
cnf(14,axiom,
( ~ equal(addition(u,v),v)
| leq(u,v) ),
file('KLE027+4.p',unknown),
[] ).
cnf(15,axiom,
( ~ complement(u,v)
| equal(multiplication(v,u),zero) ),
file('KLE027+4.p',unknown),
[] ).
cnf(16,axiom,
( ~ complement(u,v)
| equal(multiplication(u,v),zero) ),
file('KLE027+4.p',unknown),
[] ).
cnf(17,axiom,
( ~ complement(u,v)
| equal(addition(v,u),one) ),
file('KLE027+4.p',unknown),
[] ).
cnf(18,axiom,
equal(addition(addition(u,v),w),addition(u,addition(v,w))),
file('KLE027+4.p',unknown),
[] ).
cnf(19,axiom,
equal(multiplication(multiplication(u,v),w),multiplication(u,multiplication(v,w))),
file('KLE027+4.p',unknown),
[] ).
cnf(20,axiom,
( ~ test__dfg(u)
| ~ equal(c(u),v)
| complement(u,v) ),
file('KLE027+4.p',unknown),
[] ).
cnf(21,axiom,
( ~ test__dfg(u)
| ~ complement(u,v)
| equal(c(u),v) ),
file('KLE027+4.p',unknown),
[] ).
cnf(22,axiom,
equal(multiplication(u,addition(v,w)),addition(multiplication(u,v),multiplication(u,w))),
file('KLE027+4.p',unknown),
[] ).
cnf(25,axiom,
( ~ test__dfg(u)
| ~ test__dfg(v)
| equal(c(multiplication(v,u)),addition(c(v),c(u))) ),
file('KLE027+4.p',unknown),
[] ).
cnf(26,axiom,
( ~ equal(addition(u,v),one)
| ~ equal(multiplication(v,u),zero)
| ~ equal(multiplication(u,v),zero)
| complement(v,u) ),
file('KLE027+4.p',unknown),
[] ).
cnf(27,axiom,
( ~ leq(addition(multiplication(skc9,addition(multiplication(skc9,skc10),multiplication(c(skc9),skc11))),multiplication(c(skc9),skc12)),addition(multiplication(skc9,skc10),multiplication(c(skc9),skc12)))
| ~ leq(addition(multiplication(skc9,skc13),multiplication(c(skc9),skc14)),addition(multiplication(skc9,addition(multiplication(skc9,skc13),multiplication(c(skc9),skc15))),multiplication(c(skc9),skc14))) ),
file('KLE027+4.p',unknown),
[] ).
cnf(28,plain,
( ~ leq(addition(multiplication(skc9,skc13),multiplication(c(skc9),skc14)),addition(multiplication(c(skc9),skc14),addition(multiplication(skc9,multiplication(skc9,skc13)),multiplication(skc9,multiplication(c(skc9),skc15)))))
| ~ leq(addition(multiplication(skc9,multiplication(skc9,skc10)),addition(multiplication(skc9,multiplication(c(skc9),skc11)),multiplication(c(skc9),skc12))),addition(multiplication(skc9,skc10),multiplication(c(skc9),skc12))) ),
inference(rew,[status(thm),theory(equality)],[22,27,11,18]),
[iquote('0:Rew:22.0,27.1,11.0,27.1,18.0,27.0,22.0,27.0')] ).
cnf(31,plain,
( ~ equal(c(skc9),u)
| complement(skc9,u) ),
inference(res,[status(thm),theory(equality)],[2,20]),
[iquote('0:Res:2.0,20.0')] ).
cnf(32,plain,
( ~ complement(skc9,u)
| equal(c(skc9),u) ),
inference(res,[status(thm),theory(equality)],[2,21]),
[iquote('0:Res:2.0,21.0')] ).
cnf(33,plain,
complement(skf1(skc9),skc9),
inference(res,[status(thm),theory(equality)],[2,12]),
[iquote('0:Res:2.0,12.0')] ).
cnf(35,plain,
( ~ test__dfg(u)
| equal(c(multiplication(u,skc9)),addition(c(u),c(skc9))) ),
inference(res,[status(thm),theory(equality)],[2,25]),
[iquote('0:Res:2.0,25.1')] ).
cnf(55,plain,
equal(c(multiplication(skc9,skc9)),addition(c(skc9),c(skc9))),
inference(res,[status(thm),theory(equality)],[2,35]),
[iquote('0:Res:2.0,35.0')] ).
cnf(67,plain,
equal(c(multiplication(skc9,skc9)),c(skc9)),
inference(rew,[status(thm),theory(equality)],[4,55]),
[iquote('0:Rew:4.0,55.0')] ).
cnf(87,plain,
( test__dfg(multiplication(skc9,skc9))
| equal(c(skc9),zero) ),
inference(spr,[status(thm),theory(equality)],[67,10]),
[iquote('0:SpR:67.0,10.1')] ).
cnf(90,plain,
equal(addition(zero,u),u),
inference(spr,[status(thm),theory(equality)],[11,3]),
[iquote('0:SpR:11.0,3.0')] ).
cnf(111,plain,
( ~ complement(u,v)
| equal(addition(u,v),one) ),
inference(spr,[status(thm),theory(equality)],[17,11]),
[iquote('0:SpR:17.1,11.0')] ).
cnf(114,plain,
( ~ complement(u,zero)
| equal(one,u) ),
inference(spr,[status(thm),theory(equality)],[17,90]),
[iquote('0:SpR:17.1,90.0')] ).
cnf(221,plain,
( ~ equal(u,u)
| leq(u,u) ),
inference(spl,[status(thm),theory(equality)],[4,14]),
[iquote('0:SpL:4.0,14.0')] ).
cnf(227,plain,
leq(u,u),
inference(obv,[status(thm),theory(equality)],[221]),
[iquote('0:Obv:221.0')] ).
cnf(233,plain,
( ~ test__dfg(skf1(skc9))
| equal(c(skf1(skc9)),skc9) ),
inference(res,[status(thm),theory(equality)],[33,21]),
[iquote('0:Res:33.0,21.1')] ).
cnf(246,plain,
( ~ test__dfg(u)
| complement(u,c(u)) ),
inference(eqr,[status(thm),theory(equality)],[20]),
[iquote('0:EqR:20.1')] ).
cnf(274,plain,
( ~ complement(u,v)
| equal(multiplication(zero,w),multiplication(v,multiplication(u,w))) ),
inference(spr,[status(thm),theory(equality)],[15,19]),
[iquote('0:SpR:15.1,19.0')] ).
cnf(284,plain,
( ~ complement(u,v)
| equal(multiplication(v,multiplication(u,w)),zero) ),
inference(rew,[status(thm),theory(equality)],[8,274]),
[iquote('0:Rew:8.0,274.1')] ).
cnf(304,plain,
equal(addition(u,addition(v,w)),addition(w,addition(u,v))),
inference(spr,[status(thm),theory(equality)],[18,11]),
[iquote('0:SpR:18.0,11.0')] ).
cnf(311,plain,
equal(addition(u,addition(u,v)),addition(u,v)),
inference(spr,[status(thm),theory(equality)],[4,18]),
[iquote('0:SpR:4.0,18.0')] ).
cnf(313,plain,
equal(addition(addition(u,v),w),addition(v,addition(u,w))),
inference(spr,[status(thm),theory(equality)],[11,18]),
[iquote('0:SpR:11.0,18.0')] ).
cnf(320,plain,
equal(addition(u,addition(v,w)),addition(v,addition(u,w))),
inference(rew,[status(thm),theory(equality)],[18,313]),
[iquote('0:Rew:18.0,313.0')] ).
cnf(321,plain,
( ~ leq(addition(multiplication(skc9,skc13),multiplication(c(skc9),skc14)),addition(multiplication(skc9,multiplication(skc9,skc13)),addition(multiplication(c(skc9),skc14),multiplication(skc9,multiplication(c(skc9),skc15)))))
| ~ leq(addition(multiplication(skc9,multiplication(skc9,skc10)),addition(multiplication(skc9,multiplication(c(skc9),skc11)),multiplication(c(skc9),skc12))),addition(multiplication(skc9,skc10),multiplication(c(skc9),skc12))) ),
inference(rew,[status(thm),theory(equality)],[320,28]),
[iquote('0:Rew:320.0,28.0')] ).
cnf(326,plain,
( ~ test__dfg(multiplication(skc9,skc9))
| complement(multiplication(skc9,skc9),c(skc9)) ),
inference(spr,[status(thm),theory(equality)],[67,246]),
[iquote('0:SpR:67.0,246.1')] ).
cnf(331,plain,
( ~ test__dfg(u)
| test__dfg(c(u)) ),
inference(res,[status(thm),theory(equality)],[246,9]),
[iquote('0:Res:246.1,9.0')] ).
cnf(339,plain,
equal(c(skc9),zero),
inference(spt,[spt(split,[position(s1)])],[87]),
[iquote('1:Spt:87.1')] ).
cnf(352,plain,
( ~ leq(addition(multiplication(skc9,skc13),multiplication(zero,skc14)),addition(multiplication(skc9,multiplication(skc9,skc13)),addition(multiplication(zero,skc14),multiplication(skc9,multiplication(zero,skc15)))))
| ~ leq(addition(multiplication(skc9,multiplication(skc9,skc10)),addition(multiplication(skc9,multiplication(c(skc9),skc11)),multiplication(c(skc9),skc12))),addition(multiplication(skc9,skc10),multiplication(c(skc9),skc12))) ),
inference(rew,[status(thm),theory(equality)],[339,321]),
[iquote('1:Rew:339.0,321.0')] ).
cnf(360,plain,
( ~ leq(multiplication(skc9,skc13),multiplication(skc9,multiplication(skc9,skc13)))
| ~ leq(addition(multiplication(skc9,multiplication(skc9,skc10)),addition(multiplication(skc9,multiplication(c(skc9),skc11)),multiplication(c(skc9),skc12))),addition(multiplication(skc9,skc10),multiplication(c(skc9),skc12))) ),
inference(rew,[status(thm),theory(equality)],[90,352,11,8,7,18]),
[iquote('1:Rew:90.0,352.0,11.0,352.0,90.0,352.0,8.0,352.0,90.0,352.0,7.0,352.0,8.0,352.0,18.0,352.0,11.0,352.0')] ).
cnf(361,plain,
( ~ leq(multiplication(skc9,skc13),multiplication(skc9,multiplication(skc9,skc13)))
| ~ leq(addition(multiplication(zero,skc12),addition(multiplication(skc9,multiplication(zero,skc11)),multiplication(skc9,multiplication(skc9,skc10)))),addition(multiplication(skc9,skc10),multiplication(zero,skc12))) ),
inference(rew,[status(thm),theory(equality)],[320,360,304,339]),
[iquote('1:Rew:320.0,360.1,304.0,360.1,339.0,360.1')] ).
cnf(362,plain,
( ~ leq(multiplication(skc9,skc13),multiplication(skc9,multiplication(skc9,skc13)))
| ~ leq(multiplication(skc9,multiplication(skc9,skc10)),multiplication(skc9,skc10)) ),
inference(rew,[status(thm),theory(equality)],[90,361,7,8,11]),
[iquote('1:Rew:90.0,361.1,7.0,361.1,8.0,361.1,90.0,361.1,90.0,361.1,8.0,361.1,11.0,361.1')] ).
cnf(364,plain,
( ~ test__dfg(skc9)
| complement(skc9,zero) ),
inference(spr,[status(thm),theory(equality)],[339,246]),
[iquote('1:SpR:339.0,246.1')] ).
cnf(368,plain,
complement(skc9,zero),
inference(ssi,[status(thm)],[364,2]),
[iquote('1:SSi:364.0,2.0')] ).
cnf(394,plain,
equal(skc9,one),
inference(res,[status(thm),theory(equality)],[368,114]),
[iquote('1:Res:368.0,114.0')] ).
cnf(414,plain,
( ~ leq(multiplication(one,skc13),multiplication(one,multiplication(one,skc13)))
| ~ leq(multiplication(skc9,multiplication(skc9,skc10)),multiplication(skc9,skc10)) ),
inference(rew,[status(thm),theory(equality)],[394,362]),
[iquote('1:Rew:394.0,362.0')] ).
cnf(426,plain,
( ~ leq(skc13,skc13)
| ~ leq(multiplication(skc9,multiplication(skc9,skc10)),multiplication(skc9,skc10)) ),
inference(rew,[status(thm),theory(equality)],[6,414]),
[iquote('1:Rew:6.0,414.0,6.0,414.0')] ).
cnf(427,plain,
( ~ leq(skc13,skc13)
| ~ leq(multiplication(one,multiplication(one,skc10)),multiplication(one,skc10)) ),
inference(rew,[status(thm),theory(equality)],[394,426]),
[iquote('1:Rew:394.0,426.1')] ).
cnf(428,plain,
( ~ leq(skc13,skc13)
| ~ leq(skc10,skc10) ),
inference(rew,[status(thm),theory(equality)],[6,427]),
[iquote('1:Rew:6.0,427.1,6.0,427.1')] ).
cnf(429,plain,
$false,
inference(mrr,[status(thm)],[428,227]),
[iquote('1:MRR:428.0,428.1,227.0,227.0')] ).
cnf(430,plain,
~ equal(c(skc9),zero),
inference(spt,[spt(split,[position(sa)])],[429,339]),
[iquote('1:Spt:429.0,87.1,339.0')] ).
cnf(431,plain,
test__dfg(multiplication(skc9,skc9)),
inference(spt,[spt(split,[position(s2)])],[87]),
[iquote('1:Spt:429.0,87.0')] ).
cnf(435,plain,
complement(multiplication(skc9,skc9),c(skc9)),
inference(mrr,[status(thm)],[326,431]),
[iquote('1:MRR:326.0,431.0')] ).
cnf(630,plain,
complement(skc9,c(skc9)),
inference(eqr,[status(thm),theory(equality)],[31]),
[iquote('0:EqR:31.0')] ).
cnf(958,plain,
( ~ complement(u,v)
| ~ equal(one,one)
| ~ equal(multiplication(v,u),zero)
| ~ equal(multiplication(u,v),zero)
| complement(v,u) ),
inference(spl,[status(thm),theory(equality)],[111,26]),
[iquote('0:SpL:111.1,26.0')] ).
cnf(964,plain,
( ~ complement(u,v)
| ~ equal(multiplication(v,u),zero)
| ~ equal(multiplication(u,v),zero)
| complement(v,u) ),
inference(obv,[status(thm),theory(equality)],[958]),
[iquote('0:Obv:958.1')] ).
cnf(965,plain,
( ~ complement(u,v)
| ~ equal(zero,zero)
| ~ equal(zero,zero)
| complement(v,u) ),
inference(rew,[status(thm),theory(equality)],[16,964,15]),
[iquote('0:Rew:16.1,964.2,15.1,964.1')] ).
cnf(966,plain,
( ~ complement(u,v)
| complement(v,u) ),
inference(obv,[status(thm),theory(equality)],[965]),
[iquote('0:Obv:965.2')] ).
cnf(969,plain,
complement(skc9,skf1(skc9)),
inference(res,[status(thm),theory(equality)],[33,966]),
[iquote('0:Res:33.0,966.0')] ).
cnf(976,plain,
complement(c(skc9),multiplication(skc9,skc9)),
inference(res,[status(thm),theory(equality)],[435,966]),
[iquote('1:Res:435.0,966.0')] ).
cnf(977,plain,
complement(c(skc9),skc9),
inference(res,[status(thm),theory(equality)],[630,966]),
[iquote('0:Res:630.0,966.0')] ).
cnf(980,plain,
test__dfg(skf1(skc9)),
inference(res,[status(thm),theory(equality)],[969,9]),
[iquote('0:Res:969.0,9.0')] ).
cnf(981,plain,
equal(skf1(skc9),c(skc9)),
inference(res,[status(thm),theory(equality)],[969,32]),
[iquote('0:Res:969.0,32.0')] ).
cnf(982,plain,
equal(c(skf1(skc9)),skc9),
inference(mrr,[status(thm)],[233,980]),
[iquote('0:MRR:233.0,980.0')] ).
cnf(988,plain,
equal(c(c(skc9)),skc9),
inference(rew,[status(thm),theory(equality)],[981,982]),
[iquote('0:Rew:981.0,982.0')] ).
cnf(1090,plain,
( ~ test__dfg(c(skc9))
| equal(multiplication(skc9,skc9),c(c(skc9))) ),
inference(res,[status(thm),theory(equality)],[976,21]),
[iquote('1:Res:976.0,21.1')] ).
cnf(1094,plain,
( ~ test__dfg(c(skc9))
| equal(multiplication(skc9,skc9),skc9) ),
inference(rew,[status(thm),theory(equality)],[988,1090]),
[iquote('1:Rew:988.0,1090.1')] ).
cnf(1095,plain,
equal(multiplication(skc9,skc9),skc9),
inference(ssi,[status(thm)],[1094,331,2]),
[iquote('1:SSi:1094.0,331.0,2.1')] ).
cnf(1135,plain,
equal(multiplication(skc9,multiplication(skc9,u)),multiplication(skc9,u)),
inference(spr,[status(thm),theory(equality)],[1095,19]),
[iquote('1:SpR:1095.0,19.0')] ).
cnf(1137,plain,
( ~ leq(addition(multiplication(skc9,skc13),multiplication(c(skc9),skc14)),addition(multiplication(skc9,multiplication(skc9,skc13)),addition(multiplication(c(skc9),skc14),multiplication(skc9,multiplication(c(skc9),skc15)))))
| ~ leq(addition(multiplication(skc9,skc10),addition(multiplication(skc9,multiplication(c(skc9),skc11)),multiplication(c(skc9),skc12))),addition(multiplication(skc9,skc10),multiplication(c(skc9),skc12))) ),
inference(rew,[status(thm),theory(equality)],[1135,321]),
[iquote('1:Rew:1135.0,321.1')] ).
cnf(1173,plain,
( ~ leq(addition(multiplication(skc9,skc13),multiplication(c(skc9),skc14)),addition(multiplication(skc9,skc13),addition(multiplication(c(skc9),skc14),multiplication(skc9,multiplication(c(skc9),skc15)))))
| ~ leq(addition(multiplication(skc9,skc10),addition(multiplication(skc9,multiplication(c(skc9),skc11)),multiplication(c(skc9),skc12))),addition(multiplication(skc9,skc10),multiplication(c(skc9),skc12))) ),
inference(rew,[status(thm),theory(equality)],[1135,1137]),
[iquote('1:Rew:1135.0,1137.0')] ).
cnf(1194,plain,
~ leq(addition(multiplication(skc9,skc13),multiplication(c(skc9),skc14)),addition(multiplication(skc9,skc13),addition(multiplication(c(skc9),skc14),multiplication(skc9,multiplication(c(skc9),skc15))))),
inference(spt,[spt(split,[position(s2s1)])],[1173]),
[iquote('2:Spt:1173.0')] ).
cnf(1287,plain,
( ~ equal(addition(u,v),addition(u,v))
| leq(u,addition(u,v)) ),
inference(spl,[status(thm),theory(equality)],[311,14]),
[iquote('0:SpL:311.0,14.0')] ).
cnf(1293,plain,
leq(u,addition(u,v)),
inference(obv,[status(thm),theory(equality)],[1287]),
[iquote('0:Obv:1287.0')] ).
cnf(1345,plain,
leq(addition(u,v),addition(u,addition(v,w))),
inference(spr,[status(thm),theory(equality)],[18,1293]),
[iquote('0:SpR:18.0,1293.0')] ).
cnf(1349,plain,
$false,
inference(unc,[status(thm)],[1345,1194]),
[iquote('2:UnC:1345.0,1194.0')] ).
cnf(1350,plain,
leq(addition(multiplication(skc9,skc13),multiplication(c(skc9),skc14)),addition(multiplication(skc9,skc13),addition(multiplication(c(skc9),skc14),multiplication(skc9,multiplication(c(skc9),skc15))))),
inference(spt,[spt(split,[position(s2sa)])],[1349,1194]),
[iquote('2:Spt:1349.0,1173.0,1194.0')] ).
cnf(1351,plain,
~ leq(addition(multiplication(skc9,skc10),addition(multiplication(skc9,multiplication(c(skc9),skc11)),multiplication(c(skc9),skc12))),addition(multiplication(skc9,skc10),multiplication(c(skc9),skc12))),
inference(spt,[spt(split,[position(s2s2)])],[1173]),
[iquote('2:Spt:1349.0,1173.1')] ).
cnf(1490,plain,
( ~ complement(c(skc9),skc9)
| ~ leq(addition(multiplication(skc9,skc10),addition(zero,multiplication(c(skc9),skc12))),addition(multiplication(skc9,skc10),multiplication(c(skc9),skc12))) ),
inference(spl,[status(thm),theory(equality)],[284,1351]),
[iquote('2:SpL:284.1,1351.0')] ).
cnf(1497,plain,
( ~ complement(c(skc9),skc9)
| ~ leq(addition(multiplication(skc9,skc10),multiplication(c(skc9),skc12)),addition(multiplication(skc9,skc10),multiplication(c(skc9),skc12))) ),
inference(rew,[status(thm),theory(equality)],[90,1490]),
[iquote('2:Rew:90.0,1490.1')] ).
cnf(1498,plain,
$false,
inference(mrr,[status(thm)],[1497,977,227]),
[iquote('2:MRR:1497.0,1497.1,977.0,227.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : KLE027+4 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.15 % Command : run_spass %d %s
% 0.15/0.37 % Computer : n023.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 600
% 0.15/0.37 % DateTime : Thu Jun 16 10:00:20 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.38/0.61
% 0.38/0.61 SPASS V 3.9
% 0.38/0.61 SPASS beiseite: Proof found.
% 0.38/0.61 % SZS status Theorem
% 0.38/0.61 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/0.61 SPASS derived 1103 clauses, backtracked 48 clauses, performed 3 splits and kept 477 clauses.
% 0.38/0.61 SPASS allocated 98897 KBytes.
% 0.38/0.61 SPASS spent 0:00:00.23 on the problem.
% 0.38/0.61 0:00:00.04 for the input.
% 0.38/0.61 0:00:00.03 for the FLOTTER CNF translation.
% 0.38/0.61 0:00:00.01 for inferences.
% 0.38/0.61 0:00:00.00 for the backtracking.
% 0.38/0.61 0:00:00.12 for the reduction.
% 0.38/0.61
% 0.38/0.61
% 0.38/0.61 Here is a proof with depth 6, length 90 :
% 0.38/0.61 % SZS output start Refutation
% See solution above
% 0.38/0.62 Formulae used in the proof : goals additive_identity additive_idempotence multiplicative_left_identity right_annihilation left_annihilation test_1 test_4 additive_commutativity order test_2 additive_associativity multiplicative_associativity test_3 right_distributivity test_deMorgan2
% 0.38/0.62
%------------------------------------------------------------------------------