%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN179-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n025.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 12:19:15 EDT 2022
% Result : Unsatisfiable 0.17s 0.48s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 32
% Syntax : Number of clauses : 75 ( 39 unt; 0 nHn; 75 RR)
% Number of literals : 131 ( 0 equ; 61 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 22 ( 21 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ q3(d,u),
file('SYN179-1.p',unknown),
[] ).
cnf(2,axiom,
s0(d),
file('SYN179-1.p',unknown),
[] ).
cnf(6,axiom,
s0(b),
file('SYN179-1.p',unknown),
[] ).
cnf(10,axiom,
r0(b),
file('SYN179-1.p',unknown),
[] ).
cnf(12,axiom,
n0(e,b),
file('SYN179-1.p',unknown),
[] ).
cnf(15,axiom,
p0(b,u),
file('SYN179-1.p',unknown),
[] ).
cnf(16,axiom,
n0(a,b),
file('SYN179-1.p',unknown),
[] ).
cnf(18,axiom,
q0(u,d),
file('SYN179-1.p',unknown),
[] ).
cnf(20,axiom,
m0(u,d,v),
file('SYN179-1.p',unknown),
[] ).
cnf(25,axiom,
l0(c),
file('SYN179-1.p',unknown),
[] ).
cnf(27,axiom,
n0(d,c),
file('SYN179-1.p',unknown),
[] ).
cnf(33,axiom,
k0(b),
file('SYN179-1.p',unknown),
[] ).
cnf(35,axiom,
n0(c,d),
file('SYN179-1.p',unknown),
[] ).
cnf(37,axiom,
q0(a,b),
file('SYN179-1.p',unknown),
[] ).
cnf(40,axiom,
( ~ n0(u,v)
| k1(v) ),
file('SYN179-1.p',unknown),
[] ).
cnf(41,axiom,
( ~ n0(u,v)
| l1(v,v) ),
file('SYN179-1.p',unknown),
[] ).
cnf(89,axiom,
( ~ l0(u)
| ~ s0(b)
| ~ p0(b,v)
| n1(u,v,u) ),
file('SYN179-1.p',unknown),
[] ).
cnf(124,axiom,
( ~ p0(u,v)
| p1(v,v,v) ),
file('SYN179-1.p',unknown),
[] ).
cnf(164,axiom,
( ~ p0(u,u)
| s1(u) ),
file('SYN179-1.p',unknown),
[] ).
cnf(165,axiom,
( ~ s1(u)
| ~ q0(v,w)
| s1(v) ),
file('SYN179-1.p',unknown),
[] ).
cnf(170,axiom,
( ~ s1(u)
| ~ l2(v,v)
| ~ n0(e,v)
| l2(u,v) ),
file('SYN179-1.p',unknown),
[] ).
cnf(172,axiom,
( ~ s1(u)
| ~ p0(v,v)
| ~ m0(w,u,x)
| l2(x,x) ),
file('SYN179-1.p',unknown),
[] ).
cnf(175,axiom,
( ~ k1(b)
| m2(b) ),
file('SYN179-1.p',unknown),
[] ).
cnf(176,axiom,
( ~ p1(u,v,w)
| n2(w) ),
file('SYN179-1.p',unknown),
[] ).
cnf(222,axiom,
( ~ k1(u)
| ~ l0(c)
| ~ l2(u,v)
| q2(v,c,u) ),
file('SYN179-1.p',unknown),
[] ).
cnf(225,axiom,
( ~ l1(u,v)
| q2(v,v,u) ),
file('SYN179-1.p',unknown),
[] ).
cnf(228,axiom,
( ~ s1(b)
| ~ q2(b,u,b)
| s2(u) ),
file('SYN179-1.p',unknown),
[] ).
cnf(229,axiom,
( ~ s1(a)
| ~ s0(d)
| s2(d) ),
file('SYN179-1.p',unknown),
[] ).
cnf(283,axiom,
( ~ n2(u)
| p3(u,u,u) ),
file('SYN179-1.p',unknown),
[] ).
cnf(294,axiom,
( ~ n0(u,v)
| ~ q2(u,v,w)
| q3(v,w) ),
file('SYN179-1.p',unknown),
[] ).
cnf(296,axiom,
( ~ s2(u)
| ~ q3(v,u)
| ~ n1(w,u,v)
| q3(u,v) ),
file('SYN179-1.p',unknown),
[] ).
cnf(338,axiom,
( ~ l1(u,v)
| ~ p3(w,v,x)
| s4(u) ),
file('SYN179-1.p',unknown),
[] ).
cnf(375,plain,
( ~ s1(a)
| s2(d) ),
inference(mrr,[status(thm)],[229,2]),
[iquote('0:MRR:229.1,2.0')] ).
cnf(400,plain,
( ~ k1(u)
| ~ l2(u,v)
| q2(v,c,u) ),
inference(mrr,[status(thm)],[222,25]),
[iquote('0:MRR:222.1,25.0')] ).
cnf(405,plain,
( ~ l0(u)
| n1(u,v,u) ),
inference(mrr,[status(thm)],[89,6,15]),
[iquote('0:MRR:89.1,89.2,6.0,15.0')] ).
cnf(422,plain,
( ~ s2(d)
| ~ q3(u,d)
| ~ n1(v,d,u) ),
inference(res,[status(thm),theory(equality)],[296,1]),
[iquote('0:Res:296.3,1.0')] ).
cnf(458,plain,
s1(b),
inference(res,[status(thm),theory(equality)],[15,164]),
[iquote('0:Res:15.0,164.0')] ).
cnf(459,plain,
( ~ q2(b,u,b)
| s2(u) ),
inference(mrr,[status(thm)],[228,458]),
[iquote('0:MRR:228.0,458.0')] ).
cnf(461,plain,
k1(d),
inference(res,[status(thm),theory(equality)],[35,40]),
[iquote('0:Res:35.0,40.0')] ).
cnf(462,plain,
k1(c),
inference(res,[status(thm),theory(equality)],[27,40]),
[iquote('0:Res:27.0,40.0')] ).
cnf(464,plain,
k1(b),
inference(res,[status(thm),theory(equality)],[16,40]),
[iquote('0:Res:16.0,40.0')] ).
cnf(473,plain,
m2(b),
inference(mrr,[status(thm)],[175,464]),
[iquote('0:MRR:175.0,464.0')] ).
cnf(477,plain,
l1(d,d),
inference(res,[status(thm),theory(equality)],[35,41]),
[iquote('0:Res:35.0,41.0')] ).
cnf(478,plain,
l1(c,c),
inference(res,[status(thm),theory(equality)],[27,41]),
[iquote('0:Res:27.0,41.0')] ).
cnf(480,plain,
l1(b,b),
inference(res,[status(thm),theory(equality)],[16,41]),
[iquote('0:Res:16.0,41.0')] ).
cnf(506,plain,
q2(b,b,b),
inference(res,[status(thm),theory(equality)],[480,225]),
[iquote('0:Res:480.0,225.0')] ).
cnf(510,plain,
s2(b),
inference(res,[status(thm),theory(equality)],[506,459]),
[iquote('0:Res:506.0,459.0')] ).
cnf(546,plain,
p1(u,u,u),
inference(res,[status(thm),theory(equality)],[15,124]),
[iquote('0:Res:15.0,124.0')] ).
cnf(550,plain,
n2(u),
inference(res,[status(thm),theory(equality)],[546,176]),
[iquote('0:Res:546.0,176.0')] ).
cnf(552,plain,
p3(u,u,u),
inference(mrr,[status(thm)],[283,550]),
[iquote('0:MRR:283.0,550.0')] ).
cnf(610,plain,
( ~ q0(u,v)
| s1(u) ),
inference(ems,[status(thm)],[165,458]),
[iquote('0:EmS:165.0,458.0')] ).
cnf(614,plain,
s1(a),
inference(res,[status(thm),theory(equality)],[37,610]),
[iquote('0:Res:37.0,610.0')] ).
cnf(619,plain,
s1(u),
inference(res,[status(thm),theory(equality)],[18,610]),
[iquote('0:Res:18.0,610.0')] ).
cnf(620,plain,
s2(d),
inference(mrr,[status(thm)],[375,614]),
[iquote('0:MRR:375.0,614.0')] ).
cnf(626,plain,
( ~ l2(u,u)
| ~ n0(e,u)
| l2(v,u) ),
inference(mrr,[status(thm)],[170,619]),
[iquote('0:MRR:170.0,619.0')] ).
cnf(627,plain,
( ~ p0(u,u)
| ~ m0(v,w,x)
| l2(x,x) ),
inference(mrr,[status(thm)],[172,619]),
[iquote('0:MRR:172.0,619.0')] ).
cnf(633,plain,
( ~ q3(u,d)
| ~ n1(v,d,u) ),
inference(mrr,[status(thm)],[422,620]),
[iquote('0:MRR:422.0,620.0')] ).
cnf(639,plain,
( ~ l0(u)
| ~ q3(u,d) ),
inference(res,[status(thm),theory(equality)],[405,633]),
[iquote('0:Res:405.1,633.1')] ).
cnf(751,plain,
( ~ l1(u,v)
| s4(u) ),
inference(res,[status(thm),theory(equality)],[552,338]),
[iquote('0:Res:552.0,338.1')] ).
cnf(752,plain,
s4(c),
inference(res,[status(thm),theory(equality)],[478,751]),
[iquote('0:Res:478.0,751.0')] ).
cnf(754,plain,
s4(d),
inference(res,[status(thm),theory(equality)],[477,751]),
[iquote('0:Res:477.0,751.0')] ).
cnf(756,plain,
s4(b),
inference(res,[status(thm),theory(equality)],[480,751]),
[iquote('0:Res:480.0,751.0')] ).
cnf(1012,plain,
( ~ p0(u,u)
| l2(v,v) ),
inference(res,[status(thm),theory(equality)],[20,627]),
[iquote('0:Res:20.0,627.1')] ).
cnf(1021,plain,
l2(u,u),
inference(res,[status(thm),theory(equality)],[15,1012]),
[iquote('0:Res:15.0,1012.0')] ).
cnf(1024,plain,
( ~ n0(e,u)
| l2(v,u) ),
inference(mrr,[status(thm)],[626,1021]),
[iquote('0:MRR:626.0,1021.0')] ).
cnf(1027,plain,
( ~ k1(u)
| q2(u,c,u) ),
inference(res,[status(thm),theory(equality)],[1021,400]),
[iquote('0:Res:1021.0,400.1')] ).
cnf(1035,plain,
l2(u,b),
inference(res,[status(thm),theory(equality)],[12,1024]),
[iquote('0:Res:12.0,1024.0')] ).
cnf(1038,plain,
( ~ k1(u)
| q2(b,c,u) ),
inference(res,[status(thm),theory(equality)],[1035,400]),
[iquote('0:Res:1035.0,400.1')] ).
cnf(1042,plain,
( ~ k1(b)
| s2(c) ),
inference(res,[status(thm),theory(equality)],[1038,459]),
[iquote('0:Res:1038.1,459.0')] ).
cnf(1045,plain,
s2(c),
inference(ssi,[status(thm)],[1042,6,33,10,473,464,510,756]),
[iquote('0:SSi:1042.0,6.0,33.0,10.0,473.0,464.0,510.0,756.0')] ).
cnf(1055,plain,
( ~ k1(u)
| ~ n0(u,c)
| q3(c,u) ),
inference(res,[status(thm),theory(equality)],[1027,294]),
[iquote('0:Res:1027.1,294.1')] ).
cnf(1103,plain,
( ~ k1(d)
| q3(c,d) ),
inference(res,[status(thm),theory(equality)],[27,1055]),
[iquote('0:Res:27.0,1055.1')] ).
cnf(1104,plain,
q3(c,d),
inference(ssi,[status(thm)],[1103,2,461,620,754]),
[iquote('0:SSi:1103.0,2.0,461.0,620.0,754.0')] ).
cnf(1106,plain,
~ l0(c),
inference(res,[status(thm),theory(equality)],[1104,639]),
[iquote('0:Res:1104.0,639.1')] ).
cnf(1107,plain,
$false,
inference(ssi,[status(thm)],[1106,25,462,752,1045]),
[iquote('0:SSi:1106.0,25.0,462.0,752.0,1045.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN179-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.11/0.31 % Computer : n025.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 600
% 0.11/0.31 % DateTime : Mon Jul 11 15:12:02 EDT 2022
% 0.11/0.31 % CPUTime :
% 0.17/0.48
% 0.17/0.48 SPASS V 3.9
% 0.17/0.48 SPASS beiseite: Proof found.
% 0.17/0.48 % SZS status Theorem
% 0.17/0.48 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.48 SPASS derived 604 clauses, backtracked 0 clauses, performed 0 splits and kept 648 clauses.
% 0.17/0.48 SPASS allocated 76423 KBytes.
% 0.17/0.48 SPASS spent 0:00:00.15 on the problem.
% 0.17/0.48 0:00:00.04 for the input.
% 0.17/0.48 0:00:00.00 for the FLOTTER CNF translation.
% 0.17/0.48 0:00:00.01 for inferences.
% 0.17/0.48 0:00:00.00 for the backtracking.
% 0.17/0.48 0:00:00.06 for the reduction.
% 0.17/0.48
% 0.17/0.48
% 0.17/0.48 Here is a proof with depth 6, length 75 :
% 0.17/0.48 % SZS output start Refutation
% See solution above
% 0.17/0.48 Formulae used in the proof : prove_this axiom_1 axiom_5 axiom_9 axiom_11 axiom_14 axiom_15 axiom_17 axiom_19 axiom_24 axiom_26 axiom_32 axiom_34 axiom_36 rule_001 rule_002 rule_050 rule_085 rule_125 rule_126 rule_131 rule_133 rule_136 rule_137 rule_183 rule_186 rule_189 rule_190 rule_244 rule_255 rule_257 rule_299
% 0.17/0.48
%------------------------------------------------------------------------------