TSTP Solution File: BOO028-1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : BOO028-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n021.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 : Thu Jul 14 23:49:29 EDT 2022
% Result : Unsatisfiable 163.66s 163.88s
% Output : Refutation 164.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 9
% Syntax : Number of clauses : 100 ( 100 unt; 0 nHn; 100 RR)
% Number of literals : 100 ( 0 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
equal(add(u,multiply(v,multiply(u,w))),u),
file('BOO028-1.p',unknown),
[] ).
cnf(3,axiom,
equal(multiply(add(u,v),add(u,inverse(v))),u),
file('BOO028-1.p',unknown),
[] ).
cnf(4,axiom,
equal(multiply(u,add(v,add(u,w))),u),
file('BOO028-1.p',unknown),
[] ).
cnf(6,axiom,
equal(add(multiply(u,v),multiply(u,inverse(v))),u),
file('BOO028-1.p',unknown),
[] ).
cnf(7,axiom,
equal(add(u,v),add(v,u)),
file('BOO028-1.p',unknown),
[] ).
cnf(8,axiom,
equal(multiply(u,v),multiply(v,u)),
file('BOO028-1.p',unknown),
[] ).
cnf(9,axiom,
equal(add(add(u,v),w),add(u,add(v,w))),
file('BOO028-1.p',unknown),
[] ).
cnf(10,axiom,
equal(multiply(multiply(u,v),w),multiply(u,multiply(v,w))),
file('BOO028-1.p',unknown),
[] ).
cnf(11,axiom,
~ equal(add(multiply(b,a),multiply(c,a)),multiply(a,add(b,c))),
file('BOO028-1.p',unknown),
[] ).
cnf(14,plain,
~ equal(add(multiply(a,b),multiply(a,c)),multiply(a,add(b,c))),
inference(rew,[status(thm),theory(equality)],[8,11]),
[iquote('0:Rew:8.0,11.0,8.0,11.0')] ).
cnf(30,plain,
equal(multiply(u,add(v,u)),u),
inference(spr,[status(thm),theory(equality)],[1,4]),
[iquote('0:SpR:1.0,4.0')] ).
cnf(34,plain,
equal(add(u,multiply(v,u)),u),
inference(spr,[status(thm),theory(equality)],[4,1]),
[iquote('0:SpR:4.0,1.0')] ).
cnf(39,plain,
equal(multiply(multiply(u,v),add(w,u)),multiply(u,v)),
inference(spr,[status(thm),theory(equality)],[6,4]),
[iquote('0:SpR:6.0,4.0')] ).
cnf(41,plain,
equal(add(multiply(u,v),multiply(inverse(v),u)),u),
inference(spr,[status(thm),theory(equality)],[8,6]),
[iquote('0:SpR:8.0,6.0')] ).
cnf(43,plain,
equal(add(multiply(u,v),multiply(v,inverse(u))),v),
inference(spr,[status(thm),theory(equality)],[8,6]),
[iquote('0:SpR:8.0,6.0')] ).
cnf(46,plain,
equal(multiply(u,multiply(v,add(w,u))),multiply(u,v)),
inference(rew,[status(thm),theory(equality)],[10,39]),
[iquote('0:Rew:10.0,39.0')] ).
cnf(50,plain,
equal(multiply(u,add(u,v)),u),
inference(spr,[status(thm),theory(equality)],[7,30]),
[iquote('0:SpR:7.0,30.0')] ).
cnf(61,plain,
equal(add(u,multiply(u,v)),u),
inference(spr,[status(thm),theory(equality)],[8,34]),
[iquote('0:SpR:8.0,34.0')] ).
cnf(78,plain,
equal(multiply(u,u),u),
inference(spr,[status(thm),theory(equality)],[1,50]),
[iquote('0:SpR:1.0,50.0')] ).
cnf(84,plain,
equal(add(u,u),u),
inference(spr,[status(thm),theory(equality)],[78,34]),
[iquote('0:SpR:78.0,34.0')] ).
cnf(94,plain,
equal(add(add(u,v),multiply(w,u)),add(u,v)),
inference(spr,[status(thm),theory(equality)],[3,1]),
[iquote('0:SpR:3.0,1.0')] ).
cnf(98,plain,
equal(multiply(add(u,v),add(v,inverse(u))),v),
inference(spr,[status(thm),theory(equality)],[7,3]),
[iquote('0:SpR:7.0,3.0')] ).
cnf(104,plain,
equal(add(u,add(v,multiply(w,u))),add(u,v)),
inference(rew,[status(thm),theory(equality)],[9,94]),
[iquote('0:Rew:9.0,94.0')] ).
cnf(187,plain,
equal(multiply(u,multiply(v,w)),multiply(v,multiply(w,u))),
inference(spr,[status(thm),theory(equality)],[10,8]),
[iquote('0:SpR:10.0,8.0')] ).
cnf(204,plain,
equal(multiply(multiply(u,v),w),multiply(v,multiply(u,w))),
inference(spr,[status(thm),theory(equality)],[8,10]),
[iquote('0:SpR:8.0,10.0')] ).
cnf(209,plain,
equal(multiply(u,multiply(add(u,v),w)),multiply(u,w)),
inference(spr,[status(thm),theory(equality)],[50,10]),
[iquote('0:SpR:50.0,10.0')] ).
cnf(213,plain,
equal(multiply(u,multiply(v,w)),multiply(v,multiply(u,w))),
inference(rew,[status(thm),theory(equality)],[10,204]),
[iquote('0:Rew:10.0,204.0')] ).
cnf(317,plain,
equal(add(u,add(v,w)),add(v,add(w,u))),
inference(spr,[status(thm),theory(equality)],[9,7]),
[iquote('0:SpR:9.0,7.0')] ).
cnf(342,plain,
equal(add(u,add(multiply(v,u),w)),add(u,w)),
inference(spr,[status(thm),theory(equality)],[34,9]),
[iquote('0:SpR:34.0,9.0')] ).
cnf(425,plain,
equal(add(u,multiply(add(v,u),inverse(u))),add(v,u)),
inference(spr,[status(thm),theory(equality)],[30,43]),
[iquote('0:SpR:30.0,43.0')] ).
cnf(431,plain,
equal(add(multiply(u,multiply(v,w)),multiply(w,inverse(multiply(u,v)))),w),
inference(spr,[status(thm),theory(equality)],[10,43]),
[iquote('0:SpR:10.0,43.0')] ).
cnf(438,plain,
equal(add(u,multiply(inverse(u),add(v,u))),add(v,u)),
inference(rew,[status(thm),theory(equality)],[8,425]),
[iquote('0:Rew:8.0,425.0')] ).
cnf(518,plain,
equal(multiply(u,add(multiply(v,u),inverse(u))),multiply(v,u)),
inference(spr,[status(thm),theory(equality)],[34,98]),
[iquote('0:SpR:34.0,98.0')] ).
cnf(533,plain,
equal(multiply(u,add(inverse(u),multiply(v,u))),multiply(v,u)),
inference(rew,[status(thm),theory(equality)],[7,518]),
[iquote('0:Rew:7.0,518.0')] ).
cnf(654,plain,
equal(add(multiply(u,v),multiply(multiply(v,add(w,u)),inverse(u))),multiply(v,add(w,u))),
inference(spr,[status(thm),theory(equality)],[46,43]),
[iquote('0:SpR:46.0,43.0')] ).
cnf(684,plain,
equal(multiply(inverse(u),add(v,u)),multiply(inverse(u),v)),
inference(spr,[status(thm),theory(equality)],[3,46]),
[iquote('0:SpR:3.0,46.0')] ).
cnf(685,plain,
equal(multiply(inverse(u),add(u,v)),multiply(inverse(u),v)),
inference(spr,[status(thm),theory(equality)],[98,46]),
[iquote('0:SpR:98.0,46.0')] ).
cnf(694,plain,
equal(add(u,multiply(inverse(u),v)),add(v,u)),
inference(rew,[status(thm),theory(equality)],[684,438]),
[iquote('0:Rew:684.0,438.0')] ).
cnf(725,plain,
equal(add(multiply(u,v),multiply(v,multiply(inverse(u),add(w,u)))),multiply(v,add(w,u))),
inference(rew,[status(thm),theory(equality)],[8,654,10]),
[iquote('0:Rew:8.0,654.0,10.0,654.0')] ).
cnf(726,plain,
equal(add(multiply(u,v),multiply(v,multiply(inverse(u),w))),multiply(v,add(w,u))),
inference(rew,[status(thm),theory(equality)],[684,725]),
[iquote('0:Rew:684.0,725.0')] ).
cnf(748,plain,
equal(add(u,multiply(v,inverse(u))),add(v,u)),
inference(spr,[status(thm),theory(equality)],[8,694]),
[iquote('0:SpR:8.0,694.0')] ).
cnf(752,plain,
equal(add(add(u,inverse(v)),v),add(v,inverse(v))),
inference(spr,[status(thm),theory(equality)],[30,694]),
[iquote('0:SpR:30.0,694.0')] ).
cnf(753,plain,
equal(add(add(inverse(u),v),u),add(u,inverse(u))),
inference(spr,[status(thm),theory(equality)],[50,694]),
[iquote('0:SpR:50.0,694.0')] ).
cnf(762,plain,
equal(add(u,add(v,inverse(v))),add(v,inverse(v))),
inference(rew,[status(thm),theory(equality)],[7,752,9]),
[iquote('0:Rew:7.0,752.0,9.0,752.0')] ).
cnf(764,plain,
equal(add(inverse(u),add(v,u)),add(u,inverse(u))),
inference(rew,[status(thm),theory(equality)],[9,753]),
[iquote('0:Rew:9.0,753.0')] ).
cnf(765,plain,
equal(add(u,add(inverse(u),v)),add(u,inverse(u))),
inference(rew,[status(thm),theory(equality)],[317,764]),
[iquote('0:Rew:317.0,764.0')] ).
cnf(824,plain,
equal(add(inverse(u),multiply(v,u)),add(inverse(u),v)),
inference(spr,[status(thm),theory(equality)],[6,104]),
[iquote('0:SpR:6.0,104.0')] ).
cnf(825,plain,
equal(add(inverse(u),multiply(u,v)),add(inverse(u),v)),
inference(spr,[status(thm),theory(equality)],[43,104]),
[iquote('0:SpR:43.0,104.0')] ).
cnf(834,plain,
equal(multiply(u,add(inverse(u),v)),multiply(v,u)),
inference(rew,[status(thm),theory(equality)],[824,533]),
[iquote('0:Rew:824.0,533.0')] ).
cnf(930,plain,
equal(multiply(u,add(v,inverse(u))),multiply(v,u)),
inference(spr,[status(thm),theory(equality)],[7,834]),
[iquote('0:SpR:7.0,834.0')] ).
cnf(992,plain,
equal(add(add(u,inverse(inverse(v))),v),add(v,multiply(u,inverse(v)))),
inference(spr,[status(thm),theory(equality)],[930,694]),
[iquote('0:SpR:930.0,694.0')] ).
cnf(1003,plain,
equal(add(u,add(v,inverse(inverse(v)))),add(u,v)),
inference(rew,[status(thm),theory(equality)],[7,992,9,748]),
[iquote('0:Rew:7.0,992.0,9.0,992.0,748.0,992.0')] ).
cnf(1025,plain,
equal(multiply(inverse(u),inverse(inverse(u))),multiply(u,inverse(u))),
inference(spr,[status(thm),theory(equality)],[684,834]),
[iquote('0:SpR:684.0,834.0')] ).
cnf(1124,plain,
equal(add(u,multiply(v,multiply(inverse(u),w))),add(multiply(w,v),u)),
inference(spr,[status(thm),theory(equality)],[187,694]),
[iquote('0:SpR:187.0,694.0')] ).
cnf(1229,plain,
equal(add(inverse(inverse(u)),multiply(u,inverse(u))),inverse(inverse(u))),
inference(spr,[status(thm),theory(equality)],[1025,34]),
[iquote('0:SpR:1025.0,34.0')] ).
cnf(1250,plain,
equal(add(inverse(inverse(u)),u),inverse(inverse(u))),
inference(rew,[status(thm),theory(equality)],[824,1229]),
[iquote('0:Rew:824.0,1229.0')] ).
cnf(1251,plain,
equal(add(u,inverse(inverse(u))),inverse(inverse(u))),
inference(rew,[status(thm),theory(equality)],[7,1250]),
[iquote('0:Rew:7.0,1250.0')] ).
cnf(1252,plain,
equal(add(u,inverse(inverse(v))),add(u,v)),
inference(rew,[status(thm),theory(equality)],[1251,1003]),
[iquote('0:Rew:1251.0,1003.0')] ).
cnf(1253,plain,
equal(add(u,u),inverse(inverse(u))),
inference(rew,[status(thm),theory(equality)],[1252,1251]),
[iquote('0:Rew:1252.0,1251.0')] ).
cnf(1255,plain,
equal(inverse(inverse(u)),u),
inference(rew,[status(thm),theory(equality)],[84,1253]),
[iquote('0:Rew:84.0,1253.0')] ).
cnf(1323,plain,
equal(multiply(inverse(u),multiply(add(u,v),w)),multiply(w,multiply(inverse(u),v))),
inference(spr,[status(thm),theory(equality)],[685,187]),
[iquote('0:SpR:685.0,187.0')] ).
cnf(1358,plain,
equal(multiply(inverse(multiply(u,v)),multiply(v,inverse(u))),multiply(inverse(multiply(u,v)),v)),
inference(spr,[status(thm),theory(equality)],[43,685]),
[iquote('0:SpR:43.0,685.0')] ).
cnf(1389,plain,
equal(multiply(u,multiply(inverse(v),inverse(multiply(v,u)))),multiply(u,inverse(multiply(v,u)))),
inference(rew,[status(thm),theory(equality)],[187,1358,8]),
[iquote('0:Rew:187.0,1358.0,8.0,1358.0')] ).
cnf(1399,plain,
equal(multiply(u,add(v,inverse(v))),u),
inference(spr,[status(thm),theory(equality)],[762,50]),
[iquote('0:SpR:762.0,50.0')] ).
cnf(1518,plain,
equal(multiply(add(u,inverse(u)),v),v),
inference(spr,[status(thm),theory(equality)],[1399,8]),
[iquote('0:SpR:1399.0,8.0')] ).
cnf(1841,plain,
equal(add(u,multiply(v,multiply(inverse(u),w))),add(multiply(v,w),u)),
inference(spr,[status(thm),theory(equality)],[213,694]),
[iquote('0:SpR:213.0,694.0')] ).
cnf(1892,plain,
equal(multiply(add(u,v),multiply(w,add(u,inverse(v)))),multiply(w,u)),
inference(spr,[status(thm),theory(equality)],[3,213]),
[iquote('0:SpR:3.0,213.0')] ).
cnf(1946,plain,
equal(add(multiply(u,v),w),add(multiply(v,u),w)),
inference(rew,[status(thm),theory(equality)],[1124,1841]),
[iquote('0:Rew:1124.0,1841.0')] ).
cnf(3399,plain,
equal(multiply(add(u,inverse(u)),add(u,inverse(add(inverse(u),v)))),u),
inference(spr,[status(thm),theory(equality)],[765,3]),
[iquote('0:SpR:765.0,3.0')] ).
cnf(3457,plain,
equal(add(u,inverse(add(inverse(u),v))),u),
inference(rew,[status(thm),theory(equality)],[1518,3399]),
[iquote('0:Rew:1518.0,3399.0')] ).
cnf(3513,plain,
equal(add(inverse(u),inverse(add(u,v))),inverse(u)),
inference(spr,[status(thm),theory(equality)],[1255,3457]),
[iquote('0:SpR:1255.0,3457.0')] ).
cnf(3948,plain,
equal(add(inverse(multiply(u,v)),inverse(v)),inverse(multiply(u,v))),
inference(spr,[status(thm),theory(equality)],[43,3513]),
[iquote('0:SpR:43.0,3513.0')] ).
cnf(3973,plain,
equal(add(inverse(u),inverse(multiply(v,u))),inverse(multiply(v,u))),
inference(rew,[status(thm),theory(equality)],[7,3948]),
[iquote('0:Rew:7.0,3948.0')] ).
cnf(4131,plain,
equal(multiply(inverse(multiply(u,v)),add(inverse(v),u)),multiply(inverse(multiply(u,v)),inverse(v))),
inference(spr,[status(thm),theory(equality)],[824,684]),
[iquote('0:SpR:824.0,684.0')] ).
cnf(4137,plain,
equal(multiply(add(inverse(u),v),add(inverse(u),inverse(multiply(v,u)))),inverse(u)),
inference(spr,[status(thm),theory(equality)],[824,3]),
[iquote('0:SpR:824.0,3.0')] ).
cnf(4215,plain,
equal(multiply(add(inverse(u),v),inverse(multiply(v,u))),inverse(u)),
inference(rew,[status(thm),theory(equality)],[3973,4137]),
[iquote('0:Rew:3973.0,4137.0')] ).
cnf(4216,plain,
equal(multiply(inverse(multiply(u,v)),add(inverse(v),u)),inverse(v)),
inference(rew,[status(thm),theory(equality)],[8,4215]),
[iquote('0:Rew:8.0,4215.0')] ).
cnf(4232,plain,
equal(multiply(inverse(multiply(u,v)),add(inverse(v),u)),multiply(inverse(v),inverse(multiply(u,v)))),
inference(rew,[status(thm),theory(equality)],[8,4131]),
[iquote('0:Rew:8.0,4131.0')] ).
cnf(4233,plain,
equal(multiply(inverse(u),inverse(multiply(v,u))),inverse(u)),
inference(rew,[status(thm),theory(equality)],[4216,4232]),
[iquote('0:Rew:4216.0,4232.0')] ).
cnf(4464,plain,
equal(add(multiply(inverse(multiply(u,v)),v),inverse(v)),inverse(multiply(u,v))),
inference(spr,[status(thm),theory(equality)],[4233,41]),
[iquote('0:SpR:4233.0,41.0')] ).
cnf(4469,plain,
equal(multiply(inverse(u),inverse(multiply(u,v))),inverse(u)),
inference(spr,[status(thm),theory(equality)],[8,4233]),
[iquote('0:SpR:8.0,4233.0')] ).
cnf(4514,plain,
equal(multiply(u,inverse(multiply(v,u))),multiply(u,inverse(v))),
inference(rew,[status(thm),theory(equality)],[4469,1389]),
[iquote('0:Rew:4469.0,1389.0')] ).
cnf(4547,plain,
equal(add(inverse(u),multiply(u,inverse(multiply(v,u)))),inverse(multiply(v,u))),
inference(rew,[status(thm),theory(equality)],[7,4464,8]),
[iquote('0:Rew:7.0,4464.0,8.0,4464.0')] ).
cnf(4548,plain,
equal(add(inverse(u),inverse(v)),inverse(multiply(v,u))),
inference(rew,[status(thm),theory(equality)],[825,4547,4514]),
[iquote('0:Rew:825.0,4547.0,4514.0,4547.0')] ).
cnf(5385,plain,
equal(inverse(multiply(u,inverse(v))),add(v,inverse(u))),
inference(spr,[status(thm),theory(equality)],[1255,4548]),
[iquote('0:SpR:1255.0,4548.0')] ).
cnf(9769,plain,
equal(add(multiply(u,v),multiply(multiply(add(u,w),v),inverse(u))),multiply(add(u,w),v)),
inference(spr,[status(thm),theory(equality)],[209,43]),
[iquote('0:SpR:209.0,43.0')] ).
cnf(9945,plain,
equal(add(multiply(u,v),multiply(inverse(u),multiply(add(u,w),v))),multiply(add(u,w),v)),
inference(rew,[status(thm),theory(equality)],[187,9769,10]),
[iquote('0:Rew:187.0,9769.0,10.0,9769.0')] ).
cnf(9946,plain,
equal(multiply(u,add(v,w)),multiply(add(w,v),u)),
inference(rew,[status(thm),theory(equality)],[726,9945,1323]),
[iquote('0:Rew:726.0,9945.0,1323.0,9945.0')] ).
cnf(12822,plain,
equal(add(u,multiply(v,w)),add(multiply(w,v),u)),
inference(spr,[status(thm),theory(equality)],[1946,7]),
[iquote('0:SpR:1946.0,7.0')] ).
cnf(72516,plain,
equal(add(multiply(u,v),multiply(v,inverse(multiply(w,u)))),add(multiply(u,v),v)),
inference(spr,[status(thm),theory(equality)],[431,342]),
[iquote('0:SpR:431.0,342.0')] ).
cnf(72890,plain,
equal(add(multiply(u,v),multiply(v,inverse(multiply(w,u)))),v),
inference(rew,[status(thm),theory(equality)],[61,72516,12822]),
[iquote('0:Rew:61.0,72516.0,12822.0,72516.0')] ).
cnf(73434,plain,
equal(add(multiply(add(u,v),w),multiply(w,inverse(v))),w),
inference(spr,[status(thm),theory(equality)],[30,72890]),
[iquote('0:SpR:30.0,72890.0')] ).
cnf(73693,plain,
equal(add(multiply(u,inverse(v)),multiply(u,add(w,v))),u),
inference(rew,[status(thm),theory(equality)],[12822,73434]),
[iquote('0:Rew:12822.0,73434.0')] ).
cnf(77395,plain,
equal(add(multiply(u,inverse(multiply(v,inverse(w)))),multiply(u,v)),u),
inference(spr,[status(thm),theory(equality)],[6,73693]),
[iquote('0:SpR:6.0,73693.0')] ).
cnf(77596,plain,
equal(add(multiply(u,v),multiply(add(w,inverse(v)),u)),u),
inference(rew,[status(thm),theory(equality)],[12822,77395,5385]),
[iquote('0:Rew:12822.0,77395.0,5385.0,77395.0')] ).
cnf(108296,plain,
equal(add(multiply(multiply(u,add(v,inverse(inverse(w)))),w),multiply(u,v)),multiply(u,add(v,inverse(inverse(w))))),
inference(spr,[status(thm),theory(equality)],[1892,77596]),
[iquote('0:SpR:1892.0,77596.0')] ).
cnf(109278,plain,
equal(add(multiply(u,v),multiply(u,w)),multiply(u,add(w,v))),
inference(rew,[status(thm),theory(equality)],[50,108296,9946,10,1255]),
[iquote('0:Rew:50.0,108296.0,9946.0,108296.0,10.0,108296.0,1255.0,108296.0')] ).
cnf(109286,plain,
~ equal(multiply(a,add(c,b)),multiply(a,add(b,c))),
inference(rew,[status(thm),theory(equality)],[109278,14]),
[iquote('0:Rew:109278.0,14.0')] ).
cnf(109566,plain,
~ equal(multiply(a,add(b,c)),multiply(a,add(b,c))),
inference(rew,[status(thm),theory(equality)],[7,109286]),
[iquote('0:Rew:7.0,109286.0')] ).
cnf(109567,plain,
$false,
inference(obv,[status(thm),theory(equality)],[109566]),
[iquote('0:Obv:109566.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13 % Problem : BOO028-1 : TPTP v8.1.0. Released v2.2.0.
% 0.09/0.14 % Command : run_spass %d %s
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Wed Jun 1 20:26:31 EDT 2022
% 0.14/0.35 % CPUTime :
% 163.66/163.88
% 163.66/163.88 SPASS V 3.9
% 163.66/163.88 SPASS beiseite: Proof found.
% 163.66/163.88 % SZS status Theorem
% 163.66/163.88 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 163.66/163.88 SPASS derived 60110 clauses, backtracked 0 clauses, performed 0 splits and kept 7401 clauses.
% 163.66/163.88 SPASS allocated 151963 KBytes.
% 163.66/163.88 SPASS spent 0:2:43.39 on the problem.
% 163.66/163.88 0:00:00.03 for the input.
% 163.66/163.88 0:00:00.00 for the FLOTTER CNF translation.
% 163.66/163.88 0:00:00.49 for inferences.
% 163.66/163.88 0:00:00.00 for the backtracking.
% 163.66/163.88 0:2:42.79 for the reduction.
% 163.66/163.88
% 163.66/163.88
% 163.66/163.88 Here is a proof with depth 6, length 100 :
% 163.66/163.88 % SZS output start Refutation
% See solution above
% 164.64/164.83 Formulae used in the proof : l1 b1 l2 b2 commutativity_of_add commutativity_of_multiply associativity_of_add associativity_of_multiply prove_multiply_add_property
% 164.64/164.83
%------------------------------------------------------------------------------