TSTP Solution File: SYN159-1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN159-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n010.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 21 12:19:06 EDT 2022
% Result : Unsatisfiable 0.19s 0.58s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 60
% Syntax : Number of clauses : 150 ( 68 unt; 0 nHn; 150 RR)
% Number of literals : 282 ( 0 equ; 137 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 35 ( 34 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 10 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ n5(a,e),
file('SYN159-1.p',unknown),
[] ).
cnf(2,axiom,
s0(d),
file('SYN159-1.p',unknown),
[] ).
cnf(4,axiom,
n0(d,e),
file('SYN159-1.p',unknown),
[] ).
cnf(6,axiom,
s0(b),
file('SYN159-1.p',unknown),
[] ).
cnf(10,axiom,
r0(b),
file('SYN159-1.p',unknown),
[] ).
cnf(12,axiom,
n0(e,b),
file('SYN159-1.p',unknown),
[] ).
cnf(13,axiom,
m0(a,u,a),
file('SYN159-1.p',unknown),
[] ).
cnf(14,axiom,
r0(e),
file('SYN159-1.p',unknown),
[] ).
cnf(15,axiom,
p0(b,u),
file('SYN159-1.p',unknown),
[] ).
cnf(16,axiom,
n0(a,b),
file('SYN159-1.p',unknown),
[] ).
cnf(18,axiom,
q0(u,d),
file('SYN159-1.p',unknown),
[] ).
cnf(20,axiom,
m0(u,d,v),
file('SYN159-1.p',unknown),
[] ).
cnf(21,axiom,
l0(a),
file('SYN159-1.p',unknown),
[] ).
cnf(29,axiom,
k0(e),
file('SYN159-1.p',unknown),
[] ).
cnf(31,axiom,
n0(e,e),
file('SYN159-1.p',unknown),
[] ).
cnf(32,axiom,
m0(b,b,e),
file('SYN159-1.p',unknown),
[] ).
cnf(33,axiom,
k0(b),
file('SYN159-1.p',unknown),
[] ).
cnf(35,axiom,
n0(c,d),
file('SYN159-1.p',unknown),
[] ).
cnf(38,axiom,
n0(b,a),
file('SYN159-1.p',unknown),
[] ).
cnf(40,axiom,
( ~ n0(u,v)
| k1(v) ),
file('SYN159-1.p',unknown),
[] ).
cnf(41,axiom,
( ~ n0(u,v)
| l1(v,v) ),
file('SYN159-1.p',unknown),
[] ).
cnf(42,axiom,
( ~ r0(u)
| ~ p0(v,w)
| ~ m0(x,w,v)
| l1(w,x) ),
file('SYN159-1.p',unknown),
[] ).
cnf(68,axiom,
( ~ s0(u)
| ~ p0(u,v)
| m1(u,v,u) ),
file('SYN159-1.p',unknown),
[] ).
cnf(75,axiom,
( ~ m0(b,u,v)
| n1(v,v,u) ),
file('SYN159-1.p',unknown),
[] ).
cnf(121,axiom,
( ~ p1(u,v,w)
| ~ m0(u,v,w)
| p1(v,x,u) ),
file('SYN159-1.p',unknown),
[] ).
cnf(124,axiom,
( ~ p0(u,v)
| p1(v,v,v) ),
file('SYN159-1.p',unknown),
[] ).
cnf(131,axiom,
( ~ p0(u,v)
| ~ n0(w,x)
| q1(v,x,v) ),
file('SYN159-1.p',unknown),
[] ).
cnf(160,axiom,
( ~ m0(u,v,w)
| q1(w,w,w) ),
file('SYN159-1.p',unknown),
[] ).
cnf(163,axiom,
( ~ q0(u,v)
| ~ s0(d)
| ~ q1(d,v,d)
| r1(u) ),
file('SYN159-1.p',unknown),
[] ).
cnf(164,axiom,
( ~ p0(u,u)
| s1(u) ),
file('SYN159-1.p',unknown),
[] ).
cnf(165,axiom,
( ~ s1(u)
| ~ q0(v,w)
| s1(v) ),
file('SYN159-1.p',unknown),
[] ).
cnf(175,axiom,
( ~ k1(b)
| m2(b) ),
file('SYN159-1.p',unknown),
[] ).
cnf(176,axiom,
( ~ p1(u,v,w)
| n2(w) ),
file('SYN159-1.p',unknown),
[] ).
cnf(180,axiom,
( ~ q1(u,a,u)
| p2(u,a,u) ),
file('SYN159-1.p',unknown),
[] ).
cnf(213,axiom,
( ~ n2(u)
| ~ k1(e)
| p2(u,u,u) ),
file('SYN159-1.p',unknown),
[] ).
cnf(215,axiom,
( ~ m1(u,v,u)
| p2(v,u,v) ),
file('SYN159-1.p',unknown),
[] ).
cnf(220,axiom,
( ~ p1(u,u,u)
| q2(u,u,u) ),
file('SYN159-1.p',unknown),
[] ).
cnf(225,axiom,
( ~ l1(u,v)
| q2(v,v,u) ),
file('SYN159-1.p',unknown),
[] ).
cnf(226,axiom,
( ~ k0(u)
| ~ r1(u)
| ~ q2(u,u,u)
| ~ m0(v,w,x)
| q2(x,u,x) ),
file('SYN159-1.p',unknown),
[] ).
cnf(227,axiom,
( ~ l0(u)
| ~ r1(u)
| r2(u) ),
file('SYN159-1.p',unknown),
[] ).
cnf(228,axiom,
( ~ s1(b)
| ~ q2(b,u,b)
| s2(u) ),
file('SYN159-1.p',unknown),
[] ).
cnf(231,axiom,
( ~ s1(u)
| ~ n0(v,w)
| ~ p2(x,u,w)
| k3(v,u,v) ),
file('SYN159-1.p',unknown),
[] ).
cnf(240,axiom,
( ~ m2(u)
| ~ m2(v)
| ~ p1(w,v,x)
| k3(x,x,w) ),
file('SYN159-1.p',unknown),
[] ).
cnf(249,axiom,
( ~ n2(u)
| k3(u,u,u) ),
file('SYN159-1.p',unknown),
[] ).
cnf(274,axiom,
( ~ r2(u)
| ~ k3(v,u,v)
| m3(v,v,u) ),
file('SYN159-1.p',unknown),
[] ).
cnf(275,axiom,
( ~ n2(u)
| m3(u,u,u) ),
file('SYN159-1.p',unknown),
[] ).
cnf(279,axiom,
( ~ p2(u,v,w)
| n3(w) ),
file('SYN159-1.p',unknown),
[] ).
cnf(283,axiom,
( ~ n2(u)
| p3(u,u,u) ),
file('SYN159-1.p',unknown),
[] ).
cnf(290,axiom,
( ~ p2(u,v,w)
| ~ m3(v,x,w)
| p3(u,v,v) ),
file('SYN159-1.p',unknown),
[] ).
cnf(294,axiom,
( ~ n0(u,v)
| ~ q2(u,v,w)
| q3(v,w) ),
file('SYN159-1.p',unknown),
[] ).
cnf(296,axiom,
( ~ s2(u)
| ~ q3(v,u)
| ~ n1(w,u,v)
| q3(u,v) ),
file('SYN159-1.p',unknown),
[] ).
cnf(313,axiom,
( ~ n0(c,d)
| ~ q3(e,b)
| ~ n3(e)
| k4(c) ),
file('SYN159-1.p',unknown),
[] ).
cnf(320,axiom,
( ~ n4(u,u)
| ~ p3(u,v,v)
| n4(u,v) ),
file('SYN159-1.p',unknown),
[] ).
cnf(323,axiom,
( ~ k4(u)
| ~ m3(v,v,v)
| n4(v,v) ),
file('SYN159-1.p',unknown),
[] ).
cnf(326,axiom,
( ~ k3(u,u,v)
| p4(u,v,u) ),
file('SYN159-1.p',unknown),
[] ).
cnf(334,axiom,
( ~ m3(u,v,u)
| ~ q2(u,w,x)
| ~ k3(y,y,x)
| q4(x,w) ),
file('SYN159-1.p',unknown),
[] ).
cnf(337,axiom,
( ~ n3(u)
| ~ p0(v,u)
| ~ q3(w,x)
| r4(u) ),
file('SYN159-1.p',unknown),
[] ).
cnf(338,axiom,
( ~ l1(u,v)
| ~ p3(w,v,x)
| s4(u) ),
file('SYN159-1.p',unknown),
[] ).
cnf(346,axiom,
( ~ n5(u,v)
| ~ n4(w,x)
| ~ q4(y,x)
| ~ p4(u,u,v)
| n5(w,v) ),
file('SYN159-1.p',unknown),
[] ).
cnf(353,axiom,
( ~ r4(u)
| n5(u,u) ),
file('SYN159-1.p',unknown),
[] ).
cnf(394,plain,
( ~ n3(e)
| ~ q3(e,b)
| k4(c) ),
inference(mrr,[status(thm)],[313,35]),
[iquote('0:MRR:313.0,35.0')] ).
cnf(401,plain,
( ~ q0(u,v)
| ~ q1(d,v,d)
| r1(u) ),
inference(mrr,[status(thm)],[163,2]),
[iquote('0:MRR:163.1,2.0')] ).
cnf(406,plain,
( ~ m2(u)
| ~ p1(v,u,w)
| k3(w,w,v) ),
inference(con,[status(thm)],[240]),
[iquote('0:Con:240.0')] ).
cnf(419,plain,
( ~ q4(u,v)
| ~ n5(w,e)
| ~ n4(a,v)
| ~ p4(w,w,e) ),
inference(res,[status(thm),theory(equality)],[346,1]),
[iquote('0:Res:346.4,1.0')] ).
cnf(454,plain,
s1(b),
inference(res,[status(thm),theory(equality)],[15,164]),
[iquote('0:Res:15.0,164.0')] ).
cnf(455,plain,
( ~ q2(b,u,b)
| s2(u) ),
inference(mrr,[status(thm)],[228,454]),
[iquote('0:MRR:228.0,454.0')] ).
cnf(456,plain,
k1(a),
inference(res,[status(thm),theory(equality)],[38,40]),
[iquote('0:Res:38.0,40.0')] ).
cnf(459,plain,
k1(e),
inference(res,[status(thm),theory(equality)],[4,40]),
[iquote('0:Res:4.0,40.0')] ).
cnf(460,plain,
k1(b),
inference(res,[status(thm),theory(equality)],[16,40]),
[iquote('0:Res:16.0,40.0')] ).
cnf(467,plain,
( ~ n2(u)
| p2(u,u,u) ),
inference(mrr,[status(thm)],[213,459]),
[iquote('0:MRR:213.1,459.0')] ).
cnf(468,plain,
m2(b),
inference(mrr,[status(thm)],[175,460]),
[iquote('0:MRR:175.0,460.0')] ).
cnf(471,plain,
l1(a,a),
inference(res,[status(thm),theory(equality)],[38,41]),
[iquote('0:Res:38.0,41.0')] ).
cnf(474,plain,
l1(e,e),
inference(res,[status(thm),theory(equality)],[4,41]),
[iquote('0:Res:4.0,41.0')] ).
cnf(475,plain,
l1(b,b),
inference(res,[status(thm),theory(equality)],[16,41]),
[iquote('0:Res:16.0,41.0')] ).
cnf(491,plain,
( ~ n2(u)
| n3(u) ),
inference(res,[status(thm),theory(equality)],[467,279]),
[iquote('0:Res:467.1,279.0')] ).
cnf(501,plain,
q2(b,b,b),
inference(res,[status(thm),theory(equality)],[475,225]),
[iquote('0:Res:475.0,225.0')] ).
cnf(503,plain,
s2(b),
inference(res,[status(thm),theory(equality)],[501,455]),
[iquote('0:Res:501.0,455.0')] ).
cnf(541,plain,
p1(u,u,u),
inference(res,[status(thm),theory(equality)],[15,124]),
[iquote('0:Res:15.0,124.0')] ).
cnf(542,plain,
q2(u,u,u),
inference(mrr,[status(thm)],[220,541]),
[iquote('0:MRR:220.0,541.0')] ).
cnf(544,plain,
( ~ k0(u)
| ~ r1(u)
| ~ m0(v,w,x)
| q2(x,u,x) ),
inference(mrr,[status(thm)],[226,542]),
[iquote('0:MRR:226.2,542.0')] ).
cnf(545,plain,
n2(u),
inference(res,[status(thm),theory(equality)],[541,176]),
[iquote('0:Res:541.0,176.0')] ).
cnf(547,plain,
p3(u,u,u),
inference(mrr,[status(thm)],[283,545]),
[iquote('0:MRR:283.0,545.0')] ).
cnf(548,plain,
m3(u,u,u),
inference(mrr,[status(thm)],[275,545]),
[iquote('0:MRR:275.0,545.0')] ).
cnf(549,plain,
k3(u,u,u),
inference(mrr,[status(thm)],[249,545]),
[iquote('0:MRR:249.0,545.0')] ).
cnf(552,plain,
n3(u),
inference(mrr,[status(thm)],[491,545]),
[iquote('0:MRR:491.0,545.0')] ).
cnf(561,plain,
( ~ p0(u,v)
| ~ q3(w,x)
| r4(v) ),
inference(mrr,[status(thm)],[337,552]),
[iquote('0:MRR:337.0,552.0')] ).
cnf(563,plain,
( ~ q3(e,b)
| k4(c) ),
inference(mrr,[status(thm)],[394,552]),
[iquote('0:MRR:394.0,552.0')] ).
cnf(566,plain,
( ~ k4(u)
| n4(v,v) ),
inference(mrr,[status(thm)],[323,548]),
[iquote('0:MRR:323.1,548.0')] ).
cnf(602,plain,
( ~ q0(u,v)
| s1(u) ),
inference(ems,[status(thm)],[165,454]),
[iquote('0:EmS:165.0,454.0')] ).
cnf(608,plain,
s1(u),
inference(res,[status(thm),theory(equality)],[18,602]),
[iquote('0:Res:18.0,602.0')] ).
cnf(617,plain,
( ~ n0(u,v)
| ~ p2(w,x,v)
| k3(u,x,u) ),
inference(mrr,[status(thm)],[231,608]),
[iquote('0:MRR:231.0,608.0')] ).
cnf(622,plain,
n1(e,e,b),
inference(res,[status(thm),theory(equality)],[32,75]),
[iquote('0:Res:32.0,75.0')] ).
cnf(628,plain,
p4(u,u,u),
inference(res,[status(thm),theory(equality)],[549,326]),
[iquote('0:Res:549.0,326.0')] ).
cnf(651,plain,
q1(u,u,u),
inference(res,[status(thm),theory(equality)],[20,160]),
[iquote('0:Res:20.0,160.0')] ).
cnf(669,plain,
( ~ q3(u,v)
| r4(w) ),
inference(res,[status(thm),theory(equality)],[15,561]),
[iquote('0:Res:15.0,561.0')] ).
cnf(679,plain,
( ~ q0(u,d)
| r1(u) ),
inference(res,[status(thm),theory(equality)],[651,401]),
[iquote('0:Res:651.0,401.1')] ).
cnf(680,plain,
r1(u),
inference(mrr,[status(thm)],[679,18]),
[iquote('0:MRR:679.0,18.0')] ).
cnf(681,plain,
( ~ l0(u)
| r2(u) ),
inference(mrr,[status(thm)],[227,680]),
[iquote('0:MRR:227.1,680.0')] ).
cnf(684,plain,
( ~ k0(u)
| ~ m0(v,w,x)
| q2(x,u,x) ),
inference(mrr,[status(thm)],[544,680]),
[iquote('0:MRR:544.1,680.0')] ).
cnf(707,plain,
( ~ s0(b)
| m1(b,u,b) ),
inference(res,[status(thm),theory(equality)],[15,68]),
[iquote('0:Res:15.0,68.1')] ).
cnf(708,plain,
m1(b,u,b),
inference(ssi,[status(thm)],[707,6,33,10,468,460,503]),
[iquote('0:SSi:707.0,6.0,33.0,10.0,468.0,460.0,503.0')] ).
cnf(709,plain,
p2(u,b,u),
inference(res,[status(thm),theory(equality)],[708,215]),
[iquote('0:Res:708.0,215.0')] ).
cnf(733,plain,
( ~ l1(u,v)
| s4(u) ),
inference(res,[status(thm),theory(equality)],[547,338]),
[iquote('0:Res:547.0,338.1')] ).
cnf(737,plain,
s4(a),
inference(res,[status(thm),theory(equality)],[471,733]),
[iquote('0:Res:471.0,733.0')] ).
cnf(739,plain,
s4(e),
inference(res,[status(thm),theory(equality)],[474,733]),
[iquote('0:Res:474.0,733.0')] ).
cnf(740,plain,
s4(b),
inference(res,[status(thm),theory(equality)],[475,733]),
[iquote('0:Res:475.0,733.0')] ).
cnf(932,plain,
( ~ n0(u,u)
| q3(u,u) ),
inference(res,[status(thm),theory(equality)],[542,294]),
[iquote('0:Res:542.0,294.1')] ).
cnf(948,plain,
q3(e,e),
inference(res,[status(thm),theory(equality)],[31,932]),
[iquote('0:Res:31.0,932.0')] ).
cnf(950,plain,
( ~ n0(u,v)
| q1(w,v,w) ),
inference(res,[status(thm),theory(equality)],[15,131]),
[iquote('0:Res:15.0,131.0')] ).
cnf(952,plain,
r4(u),
inference(res,[status(thm),theory(equality)],[948,669]),
[iquote('0:Res:948.0,669.0')] ).
cnf(953,plain,
n5(u,u),
inference(mrr,[status(thm)],[353,952]),
[iquote('0:MRR:353.0,952.0')] ).
cnf(959,plain,
q1(u,a,u),
inference(res,[status(thm),theory(equality)],[38,950]),
[iquote('0:Res:38.0,950.0')] ).
cnf(967,plain,
p2(u,a,u),
inference(mrr,[status(thm)],[180,959]),
[iquote('0:MRR:180.0,959.0')] ).
cnf(999,plain,
( ~ k0(u)
| q2(v,u,v) ),
inference(res,[status(thm),theory(equality)],[20,684]),
[iquote('0:Res:20.0,684.1')] ).
cnf(1038,plain,
( ~ k0(u)
| s2(u) ),
inference(res,[status(thm),theory(equality)],[999,455]),
[iquote('0:Res:999.1,455.0')] ).
cnf(1039,plain,
( ~ k0(u)
| ~ n0(v,u)
| q3(u,v) ),
inference(res,[status(thm),theory(equality)],[999,294]),
[iquote('0:Res:999.1,294.1')] ).
cnf(1098,plain,
( ~ k0(b)
| q3(b,e) ),
inference(res,[status(thm),theory(equality)],[12,1039]),
[iquote('0:Res:12.0,1039.1')] ).
cnf(1103,plain,
q3(b,e),
inference(ssi,[status(thm)],[1098,6,33,10,468,460,503,740]),
[iquote('0:SSi:1098.0,6.0,33.0,10.0,468.0,460.0,503.0,740.0')] ).
cnf(1151,plain,
( ~ n0(u,v)
| k3(u,a,u) ),
inference(res,[status(thm),theory(equality)],[967,617]),
[iquote('0:Res:967.0,617.1')] ).
cnf(1187,plain,
k3(b,a,b),
inference(res,[status(thm),theory(equality)],[38,1151]),
[iquote('0:Res:38.0,1151.0')] ).
cnf(1195,plain,
( ~ r2(a)
| m3(b,b,a) ),
inference(res,[status(thm),theory(equality)],[1187,274]),
[iquote('0:Res:1187.0,274.1')] ).
cnf(1197,plain,
m3(b,b,a),
inference(ssi,[status(thm)],[1195,681,21,456,737]),
[iquote('0:SSi:1195.0,681.0,21.0,456.0,737.1')] ).
cnf(1269,plain,
( ~ m0(u,u,u)
| p1(u,v,u) ),
inference(res,[status(thm),theory(equality)],[541,121]),
[iquote('0:Res:541.0,121.0')] ).
cnf(1295,plain,
( ~ m3(b,u,v)
| p3(v,b,b) ),
inference(res,[status(thm),theory(equality)],[709,290]),
[iquote('0:Res:709.0,290.0')] ).
cnf(1411,plain,
( ~ s2(e)
| ~ q3(b,e)
| q3(e,b) ),
inference(res,[status(thm),theory(equality)],[622,296]),
[iquote('0:Res:622.0,296.2')] ).
cnf(1420,plain,
( ~ q3(b,e)
| q3(e,b) ),
inference(ssi,[status(thm)],[1411,1038,29,14,459,739]),
[iquote('0:SSi:1411.0,1038.0,29.0,14.0,459.0,739.1')] ).
cnf(1421,plain,
q3(e,b),
inference(mrr,[status(thm)],[1420,1103]),
[iquote('0:MRR:1420.0,1103.0')] ).
cnf(1422,plain,
k4(c),
inference(mrr,[status(thm)],[563,1421]),
[iquote('0:MRR:563.0,1421.0')] ).
cnf(1424,plain,
n4(u,u),
inference(ems,[status(thm)],[566,1422]),
[iquote('0:EmS:566.0,1422.0')] ).
cnf(1428,plain,
( ~ p3(u,v,v)
| n4(u,v) ),
inference(mrr,[status(thm)],[320,1424]),
[iquote('0:MRR:320.0,1424.0')] ).
cnf(1477,plain,
( ~ p0(u,v)
| ~ m0(w,v,u)
| l1(v,w) ),
inference(ems,[status(thm)],[42,10]),
[iquote('0:EmS:42.0,10.0')] ).
cnf(1600,plain,
p3(a,b,b),
inference(res,[status(thm),theory(equality)],[1197,1295]),
[iquote('0:Res:1197.0,1295.0')] ).
cnf(1601,plain,
n4(a,b),
inference(res,[status(thm),theory(equality)],[1600,1428]),
[iquote('0:Res:1600.0,1428.0')] ).
cnf(1682,plain,
( ~ q2(u,v,w)
| ~ k3(x,x,w)
| q4(w,v) ),
inference(res,[status(thm),theory(equality)],[548,334]),
[iquote('0:Res:548.0,334.0')] ).
cnf(1696,plain,
p1(a,u,a),
inference(res,[status(thm),theory(equality)],[13,1269]),
[iquote('0:Res:13.0,1269.0')] ).
cnf(1699,plain,
( ~ m0(a,u,a)
| p1(u,v,a) ),
inference(res,[status(thm),theory(equality)],[1696,121]),
[iquote('0:Res:1696.0,121.0')] ).
cnf(1701,plain,
p1(u,v,a),
inference(mrr,[status(thm)],[1699,13]),
[iquote('0:MRR:1699.0,13.0')] ).
cnf(1718,plain,
( ~ m0(u,v,a)
| p1(v,w,u) ),
inference(res,[status(thm),theory(equality)],[1701,121]),
[iquote('0:Res:1701.0,121.0')] ).
cnf(1741,plain,
p1(d,u,v),
inference(res,[status(thm),theory(equality)],[20,1718]),
[iquote('0:Res:20.0,1718.0')] ).
cnf(1776,plain,
( ~ m2(u)
| k3(v,v,d) ),
inference(res,[status(thm),theory(equality)],[1741,406]),
[iquote('0:Res:1741.0,406.1')] ).
cnf(1822,plain,
k3(u,u,d),
inference(ems,[status(thm)],[1776,468]),
[iquote('0:EmS:1776.0,468.0')] ).
cnf(1879,plain,
( ~ p0(u,d)
| l1(d,v) ),
inference(res,[status(thm),theory(equality)],[20,1477]),
[iquote('0:Res:20.0,1477.1')] ).
cnf(1902,plain,
l1(d,u),
inference(res,[status(thm),theory(equality)],[15,1879]),
[iquote('0:Res:15.0,1879.0')] ).
cnf(1909,plain,
q2(u,u,d),
inference(res,[status(thm),theory(equality)],[1902,225]),
[iquote('0:Res:1902.0,225.0')] ).
cnf(1958,plain,
( ~ k3(u,u,d)
| q4(d,v) ),
inference(res,[status(thm),theory(equality)],[1909,1682]),
[iquote('0:Res:1909.0,1682.0')] ).
cnf(1962,plain,
q4(d,u),
inference(mrr,[status(thm)],[1958,1822]),
[iquote('0:MRR:1958.0,1822.0')] ).
cnf(2067,plain,
( ~ q4(u,v)
| ~ n5(e,e)
| ~ n4(a,v) ),
inference(res,[status(thm),theory(equality)],[628,419]),
[iquote('0:Res:628.0,419.3')] ).
cnf(2073,plain,
( ~ q4(u,v)
| ~ n4(a,v) ),
inference(mrr,[status(thm)],[2067,953]),
[iquote('0:MRR:2067.1,953.0')] ).
cnf(2075,plain,
~ n4(a,u),
inference(res,[status(thm),theory(equality)],[1962,2073]),
[iquote('0:Res:1962.0,2073.0')] ).
cnf(2080,plain,
$false,
inference(unc,[status(thm)],[2075,1601]),
[iquote('0:UnC:2075.0,1601.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN159-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.35 % Computer : n010.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jul 11 23:21:45 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.58
% 0.19/0.58 SPASS V 3.9
% 0.19/0.58 SPASS beiseite: Proof found.
% 0.19/0.58 % SZS status Theorem
% 0.19/0.58 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.58 SPASS derived 1485 clauses, backtracked 0 clauses, performed 0 splits and kept 1044 clauses.
% 0.19/0.58 SPASS allocated 77014 KBytes.
% 0.19/0.58 SPASS spent 0:00:00.21 on the problem.
% 0.19/0.58 0:00:00.04 for the input.
% 0.19/0.58 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.58 0:00:00.01 for inferences.
% 0.19/0.58 0:00:00.00 for the backtracking.
% 0.19/0.58 0:00:00.10 for the reduction.
% 0.19/0.58
% 0.19/0.58
% 0.19/0.58 Here is a proof with depth 8, length 150 :
% 0.19/0.58 % SZS output start Refutation
% See solution above
% 0.19/0.58 Formulae used in the proof : prove_this axiom_1 axiom_3 axiom_5 axiom_9 axiom_11 axiom_12 axiom_13 axiom_14 axiom_15 axiom_17 axiom_19 axiom_20 axiom_28 axiom_30 axiom_31 axiom_32 axiom_34 axiom_37 rule_001 rule_002 rule_003 rule_029 rule_036 rule_082 rule_085 rule_092 rule_121 rule_124 rule_125 rule_126 rule_136 rule_137 rule_141 rule_174 rule_176 rule_181 rule_186 rule_187 rule_188 rule_189 rule_192 rule_201 rule_210 rule_235 rule_236 rule_240 rule_244 rule_251 rule_255 rule_257 rule_274 rule_281 rule_284 rule_287 rule_295 rule_298 rule_299 rule_307 rule_314
% 0.19/0.58
%------------------------------------------------------------------------------