TSTP Solution File: ALG204+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : ALG204+1 : TPTP v8.1.0. Released v2.7.0.
% 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 : Thu Jul 14 18:02:55 EDT 2022
% Result : Theorem 0.36s 0.55s
% Output : Refutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 34
% Syntax : Number of clauses : 169 ( 163 unt; 6 nHn; 169 RR)
% Number of literals : 190 ( 0 equ; 13 neg)
% Maximal clause size : 7 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
~ equal(e12,e10),
file('ALG204+1.p',unknown),
[] ).
cnf(3,axiom,
~ equal(e13,e10),
file('ALG204+1.p',unknown),
[] ).
cnf(10,axiom,
~ equal(e15,e11),
file('ALG204+1.p',unknown),
[] ).
cnf(11,axiom,
~ equal(e16,e11),
file('ALG204+1.p',unknown),
[] ).
cnf(13,axiom,
~ equal(e14,e12),
file('ALG204+1.p',unknown),
[] ).
cnf(14,axiom,
~ equal(e15,e12),
file('ALG204+1.p',unknown),
[] ).
cnf(16,axiom,
~ equal(e14,e13),
file('ALG204+1.p',unknown),
[] ).
cnf(92,axiom,
equal(h(j(e20)),e20),
file('ALG204+1.p',unknown),
[] ).
cnf(99,axiom,
equal(j(h(e10)),e10),
file('ALG204+1.p',unknown),
[] ).
cnf(100,axiom,
equal(j(h(e11)),e11),
file('ALG204+1.p',unknown),
[] ).
cnf(101,axiom,
equal(j(h(e12)),e12),
file('ALG204+1.p',unknown),
[] ).
cnf(102,axiom,
equal(j(h(e13)),e13),
file('ALG204+1.p',unknown),
[] ).
cnf(103,axiom,
equal(j(h(e14)),e14),
file('ALG204+1.p',unknown),
[] ).
cnf(104,axiom,
equal(j(h(e15)),e15),
file('ALG204+1.p',unknown),
[] ).
cnf(106,axiom,
equal(op1(e10,e10),e13),
file('ALG204+1.p',unknown),
[] ).
cnf(114,axiom,
equal(op1(e11,e11),e16),
file('ALG204+1.p',unknown),
[] ).
cnf(122,axiom,
equal(op1(e12,e12),e15),
file('ALG204+1.p',unknown),
[] ).
cnf(127,axiom,
equal(op1(e13,e10),e11),
file('ALG204+1.p',unknown),
[] ).
cnf(130,axiom,
equal(op1(e13,e13),e14),
file('ALG204+1.p',unknown),
[] ).
cnf(138,axiom,
equal(op1(e14,e14),e12),
file('ALG204+1.p',unknown),
[] ).
cnf(146,axiom,
equal(op1(e15,e15),e11),
file('ALG204+1.p',unknown),
[] ).
cnf(149,axiom,
equal(op1(e16,e11),e12),
file('ALG204+1.p',unknown),
[] ).
cnf(154,axiom,
equal(op1(e16,e16),e10),
file('ALG204+1.p',unknown),
[] ).
cnf(155,axiom,
equal(op2(e20,e20),e20),
file('ALG204+1.p',unknown),
[] ).
cnf(204,axiom,
equal(op2(h(e10),h(e10)),h(op1(e10,e10))),
file('ALG204+1.p',unknown),
[] ).
cnf(212,axiom,
equal(op2(h(e11),h(e11)),h(op1(e11,e11))),
file('ALG204+1.p',unknown),
[] ).
cnf(220,axiom,
equal(op2(h(e12),h(e12)),h(op1(e12,e12))),
file('ALG204+1.p',unknown),
[] ).
cnf(225,axiom,
equal(op2(h(e13),h(e10)),h(op1(e13,e10))),
file('ALG204+1.p',unknown),
[] ).
cnf(228,axiom,
equal(op2(h(e13),h(e13)),h(op1(e13,e13))),
file('ALG204+1.p',unknown),
[] ).
cnf(236,axiom,
equal(op2(h(e14),h(e14)),h(op1(e14,e14))),
file('ALG204+1.p',unknown),
[] ).
cnf(244,axiom,
equal(op2(h(e15),h(e15)),h(op1(e15,e15))),
file('ALG204+1.p',unknown),
[] ).
cnf(247,axiom,
equal(op2(h(e16),h(e11)),h(op1(e16,e11))),
file('ALG204+1.p',unknown),
[] ).
cnf(252,axiom,
equal(op2(h(e16),h(e16)),h(op1(e16,e16))),
file('ALG204+1.p',unknown),
[] ).
cnf(308,axiom,
( equal(j(e20),e16)
| equal(j(e20),e15)
| equal(j(e20),e14)
| equal(j(e20),e13)
| equal(j(e20),e12)
| equal(j(e20),e11)
| equal(j(e20),e10) ),
file('ALG204+1.p',unknown),
[] ).
cnf(365,plain,
equal(op2(h(e16),h(e16)),h(e10)),
inference(rew,[status(thm),theory(equality)],[154,252]),
[iquote('0:Rew:154.0,252.0')] ).
cnf(370,plain,
equal(op2(h(e16),h(e11)),h(e12)),
inference(rew,[status(thm),theory(equality)],[149,247]),
[iquote('0:Rew:149.0,247.0')] ).
cnf(373,plain,
equal(op2(h(e15),h(e15)),h(e11)),
inference(rew,[status(thm),theory(equality)],[146,244]),
[iquote('0:Rew:146.0,244.0')] ).
cnf(381,plain,
equal(op2(h(e14),h(e14)),h(e12)),
inference(rew,[status(thm),theory(equality)],[138,236]),
[iquote('0:Rew:138.0,236.0')] ).
cnf(389,plain,
equal(op2(h(e13),h(e13)),h(e14)),
inference(rew,[status(thm),theory(equality)],[130,228]),
[iquote('0:Rew:130.0,228.0')] ).
cnf(392,plain,
equal(op2(h(e13),h(e10)),h(e11)),
inference(rew,[status(thm),theory(equality)],[127,225]),
[iquote('0:Rew:127.0,225.0')] ).
cnf(397,plain,
equal(op2(h(e12),h(e12)),h(e15)),
inference(rew,[status(thm),theory(equality)],[122,220]),
[iquote('0:Rew:122.0,220.0')] ).
cnf(405,plain,
equal(op2(h(e11),h(e11)),h(e16)),
inference(rew,[status(thm),theory(equality)],[114,212]),
[iquote('0:Rew:114.0,212.0')] ).
cnf(413,plain,
equal(op2(h(e10),h(e10)),h(e13)),
inference(rew,[status(thm),theory(equality)],[106,204]),
[iquote('0:Rew:106.0,204.0')] ).
cnf(414,plain,
equal(j(e20),e16),
inference(spt,[spt(split,[position(s1)])],[308]),
[iquote('1:Spt:308.0')] ).
cnf(415,plain,
equal(h(e16),e20),
inference(rew,[status(thm),theory(equality)],[414,92]),
[iquote('1:Rew:414.0,92.0')] ).
cnf(436,plain,
equal(op2(e20,e20),h(e10)),
inference(rew,[status(thm),theory(equality)],[415,365]),
[iquote('1:Rew:415.0,365.0')] ).
cnf(456,plain,
equal(h(e10),e20),
inference(rew,[status(thm),theory(equality)],[155,436]),
[iquote('1:Rew:155.0,436.0')] ).
cnf(470,plain,
equal(op2(e20,e20),h(e13)),
inference(rew,[status(thm),theory(equality)],[456,413]),
[iquote('1:Rew:456.0,413.0')] ).
cnf(473,plain,
equal(h(e13),e20),
inference(rew,[status(thm),theory(equality)],[155,470]),
[iquote('1:Rew:155.0,470.0')] ).
cnf(477,plain,
equal(op2(e20,e20),h(e14)),
inference(rew,[status(thm),theory(equality)],[473,389]),
[iquote('1:Rew:473.0,389.0')] ).
cnf(486,plain,
equal(h(e14),e20),
inference(rew,[status(thm),theory(equality)],[155,477]),
[iquote('1:Rew:155.0,477.0')] ).
cnf(491,plain,
equal(op2(e20,e20),h(e12)),
inference(rew,[status(thm),theory(equality)],[486,381]),
[iquote('1:Rew:486.0,381.0')] ).
cnf(495,plain,
equal(h(e12),e20),
inference(rew,[status(thm),theory(equality)],[155,491]),
[iquote('1:Rew:155.0,491.0')] ).
cnf(497,plain,
equal(op2(e20,e20),h(e15)),
inference(rew,[status(thm),theory(equality)],[495,397]),
[iquote('1:Rew:495.0,397.0')] ).
cnf(502,plain,
equal(h(e15),e20),
inference(rew,[status(thm),theory(equality)],[155,497]),
[iquote('1:Rew:155.0,497.0')] ).
cnf(504,plain,
equal(op2(e20,e20),h(e11)),
inference(rew,[status(thm),theory(equality)],[502,373]),
[iquote('1:Rew:502.0,373.0')] ).
cnf(509,plain,
equal(h(e11),e20),
inference(rew,[status(thm),theory(equality)],[155,504]),
[iquote('1:Rew:155.0,504.0')] ).
cnf(510,plain,
equal(j(e20),e11),
inference(rew,[status(thm),theory(equality)],[509,100]),
[iquote('1:Rew:509.0,100.0')] ).
cnf(513,plain,
equal(e16,e11),
inference(rew,[status(thm),theory(equality)],[414,510]),
[iquote('1:Rew:414.0,510.0')] ).
cnf(514,plain,
$false,
inference(mrr,[status(thm)],[513,11]),
[iquote('1:MRR:513.0,11.0')] ).
cnf(554,plain,
~ equal(j(e20),e16),
inference(spt,[spt(split,[position(sa)])],[514,414]),
[iquote('1:Spt:514.0,308.0,414.0')] ).
cnf(555,plain,
( equal(j(e20),e15)
| equal(j(e20),e14)
| equal(j(e20),e13)
| equal(j(e20),e12)
| equal(j(e20),e11)
| equal(j(e20),e10) ),
inference(spt,[spt(split,[position(s2)])],[308]),
[iquote('1:Spt:514.0,308.1,308.2,308.3,308.4,308.5,308.6')] ).
cnf(556,plain,
equal(j(e20),e15),
inference(spt,[spt(split,[position(s2s1)])],[555]),
[iquote('2:Spt:555.0')] ).
cnf(557,plain,
equal(h(e15),e20),
inference(rew,[status(thm),theory(equality)],[556,92]),
[iquote('2:Rew:556.0,92.0')] ).
cnf(596,plain,
equal(op2(e20,e20),h(e11)),
inference(rew,[status(thm),theory(equality)],[557,373]),
[iquote('2:Rew:557.0,373.0')] ).
cnf(599,plain,
equal(h(e11),e20),
inference(rew,[status(thm),theory(equality)],[155,596]),
[iquote('2:Rew:155.0,596.0')] ).
cnf(601,plain,
equal(op2(e20,e20),h(e16)),
inference(rew,[status(thm),theory(equality)],[599,405]),
[iquote('2:Rew:599.0,405.0')] ).
cnf(616,plain,
equal(h(e16),e20),
inference(rew,[status(thm),theory(equality)],[155,601]),
[iquote('2:Rew:155.0,601.0')] ).
cnf(626,plain,
equal(op2(e20,e20),h(e10)),
inference(rew,[status(thm),theory(equality)],[616,365]),
[iquote('2:Rew:616.0,365.0')] ).
cnf(629,plain,
equal(h(e10),e20),
inference(rew,[status(thm),theory(equality)],[155,626]),
[iquote('2:Rew:155.0,626.0')] ).
cnf(631,plain,
equal(op2(e20,e20),h(e13)),
inference(rew,[status(thm),theory(equality)],[629,413]),
[iquote('2:Rew:629.0,413.0')] ).
cnf(638,plain,
equal(h(e13),e20),
inference(rew,[status(thm),theory(equality)],[155,631]),
[iquote('2:Rew:155.0,631.0')] ).
cnf(642,plain,
equal(op2(e20,e20),h(e14)),
inference(rew,[status(thm),theory(equality)],[638,389]),
[iquote('2:Rew:638.0,389.0')] ).
cnf(645,plain,
equal(h(e14),e20),
inference(rew,[status(thm),theory(equality)],[155,642]),
[iquote('2:Rew:155.0,642.0')] ).
cnf(647,plain,
equal(op2(e20,e20),h(e12)),
inference(rew,[status(thm),theory(equality)],[645,381]),
[iquote('2:Rew:645.0,381.0')] ).
cnf(652,plain,
equal(h(e12),e20),
inference(rew,[status(thm),theory(equality)],[155,647]),
[iquote('2:Rew:155.0,647.0')] ).
cnf(653,plain,
equal(j(e20),e12),
inference(rew,[status(thm),theory(equality)],[652,101]),
[iquote('2:Rew:652.0,101.0')] ).
cnf(656,plain,
equal(e15,e12),
inference(rew,[status(thm),theory(equality)],[556,653]),
[iquote('2:Rew:556.0,653.0')] ).
cnf(657,plain,
$false,
inference(mrr,[status(thm)],[656,14]),
[iquote('2:MRR:656.0,14.0')] ).
cnf(697,plain,
~ equal(j(e20),e15),
inference(spt,[spt(split,[position(s2sa)])],[657,556]),
[iquote('2:Spt:657.0,555.0,556.0')] ).
cnf(698,plain,
( equal(j(e20),e14)
| equal(j(e20),e13)
| equal(j(e20),e12)
| equal(j(e20),e11)
| equal(j(e20),e10) ),
inference(spt,[spt(split,[position(s2s2)])],[555]),
[iquote('2:Spt:657.0,555.1,555.2,555.3,555.4,555.5')] ).
cnf(699,plain,
equal(j(e20),e14),
inference(spt,[spt(split,[position(s2s2s1)])],[698]),
[iquote('3:Spt:698.0')] ).
cnf(701,plain,
equal(h(e14),e20),
inference(rew,[status(thm),theory(equality)],[699,92]),
[iquote('3:Rew:699.0,92.0')] ).
cnf(740,plain,
equal(op2(e20,e20),h(e12)),
inference(rew,[status(thm),theory(equality)],[701,381]),
[iquote('3:Rew:701.0,381.0')] ).
cnf(743,plain,
equal(h(e12),e20),
inference(rew,[status(thm),theory(equality)],[155,740]),
[iquote('3:Rew:155.0,740.0')] ).
cnf(745,plain,
equal(op2(e20,e20),h(e15)),
inference(rew,[status(thm),theory(equality)],[743,397]),
[iquote('3:Rew:743.0,397.0')] ).
cnf(760,plain,
equal(h(e15),e20),
inference(rew,[status(thm),theory(equality)],[155,745]),
[iquote('3:Rew:155.0,745.0')] ).
cnf(762,plain,
equal(op2(e20,e20),h(e11)),
inference(rew,[status(thm),theory(equality)],[760,373]),
[iquote('3:Rew:760.0,373.0')] ).
cnf(773,plain,
equal(h(e11),e20),
inference(rew,[status(thm),theory(equality)],[155,762]),
[iquote('3:Rew:155.0,762.0')] ).
cnf(779,plain,
equal(op2(e20,e20),h(e16)),
inference(rew,[status(thm),theory(equality)],[773,405]),
[iquote('3:Rew:773.0,405.0')] ).
cnf(782,plain,
equal(h(e16),e20),
inference(rew,[status(thm),theory(equality)],[155,779]),
[iquote('3:Rew:155.0,779.0')] ).
cnf(784,plain,
equal(op2(e20,e20),h(e10)),
inference(rew,[status(thm),theory(equality)],[782,365]),
[iquote('3:Rew:782.0,365.0')] ).
cnf(789,plain,
equal(h(e10),e20),
inference(rew,[status(thm),theory(equality)],[155,784]),
[iquote('3:Rew:155.0,784.0')] ).
cnf(791,plain,
equal(op2(e20,e20),h(e13)),
inference(rew,[status(thm),theory(equality)],[789,413]),
[iquote('3:Rew:789.0,413.0')] ).
cnf(796,plain,
equal(h(e13),e20),
inference(rew,[status(thm),theory(equality)],[155,791]),
[iquote('3:Rew:155.0,791.0')] ).
cnf(797,plain,
equal(j(e20),e13),
inference(rew,[status(thm),theory(equality)],[796,102]),
[iquote('3:Rew:796.0,102.0')] ).
cnf(800,plain,
equal(e14,e13),
inference(rew,[status(thm),theory(equality)],[699,797]),
[iquote('3:Rew:699.0,797.0')] ).
cnf(801,plain,
$false,
inference(mrr,[status(thm)],[800,16]),
[iquote('3:MRR:800.0,16.0')] ).
cnf(841,plain,
~ equal(j(e20),e14),
inference(spt,[spt(split,[position(s2s2sa)])],[801,699]),
[iquote('3:Spt:801.0,698.0,699.0')] ).
cnf(842,plain,
( equal(j(e20),e13)
| equal(j(e20),e12)
| equal(j(e20),e11)
| equal(j(e20),e10) ),
inference(spt,[spt(split,[position(s2s2s2)])],[698]),
[iquote('3:Spt:801.0,698.1,698.2,698.3,698.4')] ).
cnf(843,plain,
equal(j(e20),e13),
inference(spt,[spt(split,[position(s2s2s2s1)])],[842]),
[iquote('4:Spt:842.0')] ).
cnf(845,plain,
equal(h(e13),e20),
inference(rew,[status(thm),theory(equality)],[843,92]),
[iquote('4:Rew:843.0,92.0')] ).
cnf(868,plain,
equal(op2(e20,e20),h(e14)),
inference(rew,[status(thm),theory(equality)],[845,389]),
[iquote('4:Rew:845.0,389.0')] ).
cnf(888,plain,
equal(h(e14),e20),
inference(rew,[status(thm),theory(equality)],[155,868]),
[iquote('4:Rew:155.0,868.0')] ).
cnf(890,plain,
equal(op2(e20,e20),h(e12)),
inference(rew,[status(thm),theory(equality)],[888,381]),
[iquote('4:Rew:888.0,381.0')] ).
cnf(905,plain,
equal(h(e12),e20),
inference(rew,[status(thm),theory(equality)],[155,890]),
[iquote('4:Rew:155.0,890.0')] ).
cnf(915,plain,
equal(op2(e20,e20),h(e15)),
inference(rew,[status(thm),theory(equality)],[905,397]),
[iquote('4:Rew:905.0,397.0')] ).
cnf(918,plain,
equal(h(e15),e20),
inference(rew,[status(thm),theory(equality)],[155,915]),
[iquote('4:Rew:155.0,915.0')] ).
cnf(924,plain,
equal(op2(e20,e20),h(e11)),
inference(rew,[status(thm),theory(equality)],[918,373]),
[iquote('4:Rew:918.0,373.0')] ).
cnf(927,plain,
equal(h(e11),e20),
inference(rew,[status(thm),theory(equality)],[155,924]),
[iquote('4:Rew:155.0,924.0')] ).
cnf(929,plain,
equal(op2(e20,e20),h(e16)),
inference(rew,[status(thm),theory(equality)],[927,405]),
[iquote('4:Rew:927.0,405.0')] ).
cnf(934,plain,
equal(h(e16),e20),
inference(rew,[status(thm),theory(equality)],[155,929]),
[iquote('4:Rew:155.0,929.0')] ).
cnf(936,plain,
equal(op2(e20,e20),h(e10)),
inference(rew,[status(thm),theory(equality)],[934,365]),
[iquote('4:Rew:934.0,365.0')] ).
cnf(941,plain,
equal(h(e10),e20),
inference(rew,[status(thm),theory(equality)],[155,936]),
[iquote('4:Rew:155.0,936.0')] ).
cnf(942,plain,
equal(j(e20),e10),
inference(rew,[status(thm),theory(equality)],[941,99]),
[iquote('4:Rew:941.0,99.0')] ).
cnf(945,plain,
equal(e13,e10),
inference(rew,[status(thm),theory(equality)],[843,942]),
[iquote('4:Rew:843.0,942.0')] ).
cnf(946,plain,
$false,
inference(mrr,[status(thm)],[945,3]),
[iquote('4:MRR:945.0,3.0')] ).
cnf(986,plain,
~ equal(j(e20),e13),
inference(spt,[spt(split,[position(s2s2s2sa)])],[946,843]),
[iquote('4:Spt:946.0,842.0,843.0')] ).
cnf(987,plain,
( equal(j(e20),e12)
| equal(j(e20),e11)
| equal(j(e20),e10) ),
inference(spt,[spt(split,[position(s2s2s2s2)])],[842]),
[iquote('4:Spt:946.0,842.1,842.2,842.3')] ).
cnf(988,plain,
equal(j(e20),e12),
inference(spt,[spt(split,[position(s2s2s2s2s1)])],[987]),
[iquote('5:Spt:987.0')] ).
cnf(991,plain,
equal(h(e12),e20),
inference(rew,[status(thm),theory(equality)],[988,92]),
[iquote('5:Rew:988.0,92.0')] ).
cnf(1023,plain,
equal(op2(e20,e20),h(e15)),
inference(rew,[status(thm),theory(equality)],[991,397]),
[iquote('5:Rew:991.0,397.0')] ).
cnf(1034,plain,
equal(h(e15),e20),
inference(rew,[status(thm),theory(equality)],[155,1023]),
[iquote('5:Rew:155.0,1023.0')] ).
cnf(1044,plain,
equal(op2(e20,e20),h(e11)),
inference(rew,[status(thm),theory(equality)],[1034,373]),
[iquote('5:Rew:1034.0,373.0')] ).
cnf(1051,plain,
equal(h(e11),e20),
inference(rew,[status(thm),theory(equality)],[155,1044]),
[iquote('5:Rew:155.0,1044.0')] ).
cnf(1061,plain,
equal(op2(e20,e20),h(e16)),
inference(rew,[status(thm),theory(equality)],[1051,405]),
[iquote('5:Rew:1051.0,405.0')] ).
cnf(1064,plain,
equal(h(e16),e20),
inference(rew,[status(thm),theory(equality)],[155,1061]),
[iquote('5:Rew:155.0,1061.0')] ).
cnf(1070,plain,
equal(op2(e20,e20),h(e10)),
inference(rew,[status(thm),theory(equality)],[1064,365]),
[iquote('5:Rew:1064.0,365.0')] ).
cnf(1073,plain,
equal(h(e10),e20),
inference(rew,[status(thm),theory(equality)],[155,1070]),
[iquote('5:Rew:155.0,1070.0')] ).
cnf(1075,plain,
equal(op2(e20,e20),h(e13)),
inference(rew,[status(thm),theory(equality)],[1073,413]),
[iquote('5:Rew:1073.0,413.0')] ).
cnf(1080,plain,
equal(h(e13),e20),
inference(rew,[status(thm),theory(equality)],[155,1075]),
[iquote('5:Rew:155.0,1075.0')] ).
cnf(1082,plain,
equal(op2(e20,e20),h(e14)),
inference(rew,[status(thm),theory(equality)],[1080,389]),
[iquote('5:Rew:1080.0,389.0')] ).
cnf(1087,plain,
equal(h(e14),e20),
inference(rew,[status(thm),theory(equality)],[155,1082]),
[iquote('5:Rew:155.0,1082.0')] ).
cnf(1088,plain,
equal(j(e20),e14),
inference(rew,[status(thm),theory(equality)],[1087,103]),
[iquote('5:Rew:1087.0,103.0')] ).
cnf(1091,plain,
equal(e14,e12),
inference(rew,[status(thm),theory(equality)],[988,1088]),
[iquote('5:Rew:988.0,1088.0')] ).
cnf(1092,plain,
$false,
inference(mrr,[status(thm)],[1091,13]),
[iquote('5:MRR:1091.0,13.0')] ).
cnf(1132,plain,
~ equal(j(e20),e12),
inference(spt,[spt(split,[position(s2s2s2s2sa)])],[1092,988]),
[iquote('5:Spt:1092.0,987.0,988.0')] ).
cnf(1133,plain,
( equal(j(e20),e11)
| equal(j(e20),e10) ),
inference(spt,[spt(split,[position(s2s2s2s2s2)])],[987]),
[iquote('5:Spt:1092.0,987.1,987.2')] ).
cnf(1134,plain,
equal(j(e20),e11),
inference(spt,[spt(split,[position(s2s2s2s2s2s1)])],[1133]),
[iquote('6:Spt:1133.0')] ).
cnf(1137,plain,
equal(h(e11),e20),
inference(rew,[status(thm),theory(equality)],[1134,92]),
[iquote('6:Rew:1134.0,92.0')] ).
cnf(1170,plain,
equal(op2(e20,e20),h(e16)),
inference(rew,[status(thm),theory(equality)],[1137,405]),
[iquote('6:Rew:1137.0,405.0')] ).
cnf(1181,plain,
equal(h(e16),e20),
inference(rew,[status(thm),theory(equality)],[155,1170]),
[iquote('6:Rew:155.0,1170.0')] ).
cnf(1191,plain,
equal(op2(e20,e20),h(e10)),
inference(rew,[status(thm),theory(equality)],[1181,365]),
[iquote('6:Rew:1181.0,365.0')] ).
cnf(1198,plain,
equal(h(e10),e20),
inference(rew,[status(thm),theory(equality)],[155,1191]),
[iquote('6:Rew:155.0,1191.0')] ).
cnf(1208,plain,
equal(op2(e20,e20),h(e13)),
inference(rew,[status(thm),theory(equality)],[1198,413]),
[iquote('6:Rew:1198.0,413.0')] ).
cnf(1211,plain,
equal(h(e13),e20),
inference(rew,[status(thm),theory(equality)],[155,1208]),
[iquote('6:Rew:155.0,1208.0')] ).
cnf(1217,plain,
equal(op2(e20,e20),h(e14)),
inference(rew,[status(thm),theory(equality)],[1211,389]),
[iquote('6:Rew:1211.0,389.0')] ).
cnf(1220,plain,
equal(h(e14),e20),
inference(rew,[status(thm),theory(equality)],[155,1217]),
[iquote('6:Rew:155.0,1217.0')] ).
cnf(1222,plain,
equal(op2(e20,e20),h(e12)),
inference(rew,[status(thm),theory(equality)],[1220,381]),
[iquote('6:Rew:1220.0,381.0')] ).
cnf(1227,plain,
equal(h(e12),e20),
inference(rew,[status(thm),theory(equality)],[155,1222]),
[iquote('6:Rew:155.0,1222.0')] ).
cnf(1229,plain,
equal(op2(e20,e20),h(e15)),
inference(rew,[status(thm),theory(equality)],[1227,397]),
[iquote('6:Rew:1227.0,397.0')] ).
cnf(1234,plain,
equal(h(e15),e20),
inference(rew,[status(thm),theory(equality)],[155,1229]),
[iquote('6:Rew:155.0,1229.0')] ).
cnf(1235,plain,
equal(j(e20),e15),
inference(rew,[status(thm),theory(equality)],[1234,104]),
[iquote('6:Rew:1234.0,104.0')] ).
cnf(1238,plain,
equal(e15,e11),
inference(rew,[status(thm),theory(equality)],[1134,1235]),
[iquote('6:Rew:1134.0,1235.0')] ).
cnf(1239,plain,
$false,
inference(mrr,[status(thm)],[1238,10]),
[iquote('6:MRR:1238.0,10.0')] ).
cnf(1279,plain,
~ equal(j(e20),e11),
inference(spt,[spt(split,[position(s2s2s2s2s2sa)])],[1239,1134]),
[iquote('6:Spt:1239.0,1133.0,1134.0')] ).
cnf(1280,plain,
equal(j(e20),e10),
inference(spt,[spt(split,[position(s2s2s2s2s2s2)])],[1133]),
[iquote('6:Spt:1239.0,1133.1')] ).
cnf(1284,plain,
equal(h(e10),e20),
inference(rew,[status(thm),theory(equality)],[1280,92]),
[iquote('6:Rew:1280.0,92.0')] ).
cnf(1309,plain,
equal(op2(h(e13),e20),h(e11)),
inference(rew,[status(thm),theory(equality)],[1284,392]),
[iquote('6:Rew:1284.0,392.0')] ).
cnf(1318,plain,
equal(h(e13),e20),
inference(rew,[status(thm),theory(equality)],[155,413,1284]),
[iquote('6:Rew:155.0,413.0,1284.0,413.0')] ).
cnf(1320,plain,
equal(op2(e20,e20),h(e11)),
inference(rew,[status(thm),theory(equality)],[1318,1309]),
[iquote('6:Rew:1318.0,1309.0')] ).
cnf(1332,plain,
equal(h(e11),e20),
inference(rew,[status(thm),theory(equality)],[155,1320]),
[iquote('6:Rew:155.0,1320.0')] ).
cnf(1338,plain,
equal(op2(e20,e20),h(e16)),
inference(rew,[status(thm),theory(equality)],[1332,405]),
[iquote('6:Rew:1332.0,405.0')] ).
cnf(1344,plain,
equal(op2(h(e16),e20),h(e12)),
inference(rew,[status(thm),theory(equality)],[1332,370]),
[iquote('6:Rew:1332.0,370.0')] ).
cnf(1357,plain,
equal(h(e16),e20),
inference(rew,[status(thm),theory(equality)],[155,1338]),
[iquote('6:Rew:155.0,1338.0')] ).
cnf(1385,plain,
equal(h(e12),e20),
inference(rew,[status(thm),theory(equality)],[155,1344,1357]),
[iquote('6:Rew:155.0,1344.0,1357.0,1344.0')] ).
cnf(1386,plain,
equal(j(e20),e12),
inference(rew,[status(thm),theory(equality)],[1385,101]),
[iquote('6:Rew:1385.0,101.0')] ).
cnf(1389,plain,
equal(e12,e10),
inference(rew,[status(thm),theory(equality)],[1280,1386]),
[iquote('6:Rew:1280.0,1386.0')] ).
cnf(1390,plain,
$false,
inference(mrr,[status(thm)],[1389,2]),
[iquote('6:MRR:1389.0,2.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG204+1 : TPTP v8.1.0. Released v2.7.0.
% 0.06/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 9 06:31:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.36/0.55
% 0.36/0.55 SPASS V 3.9
% 0.36/0.55 SPASS beiseite: Proof found.
% 0.36/0.55 % SZS status Theorem
% 0.36/0.55 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/0.55 SPASS derived 543 clauses, backtracked 525 clauses, performed 6 splits and kept 1047 clauses.
% 0.36/0.55 SPASS allocated 85937 KBytes.
% 0.36/0.55 SPASS spent 0:00:00.20 on the problem.
% 0.36/0.55 0:00:00.04 for the input.
% 0.36/0.55 0:00:00.05 for the FLOTTER CNF translation.
% 0.36/0.55 0:00:00.00 for inferences.
% 0.36/0.55 0:00:00.00 for the backtracking.
% 0.36/0.55 0:00:00.07 for the reduction.
% 0.36/0.55
% 0.36/0.55
% 0.36/0.55 Here is a proof with depth 6, length 169 :
% 0.36/0.55 % SZS output start Refutation
% See solution above
% 0.36/0.56 Formulae used in the proof : ax1 co1 ax4 ax5
% 0.36/0.56
%------------------------------------------------------------------------------