%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN137-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n017.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 12:18:57 EDT 2022
% Result : Unsatisfiable 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 26
% Syntax : Number of clauses : 57 ( 30 unt; 0 nHn; 57 RR)
% Number of literals : 97 ( 0 equ; 44 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 21 ( 20 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,
~ m3(b,c,b),
file('SYN137-1.p',unknown),
[] ).
cnf(6,axiom,
s0(b),
file('SYN137-1.p',unknown),
[] ).
cnf(10,axiom,
r0(b),
file('SYN137-1.p',unknown),
[] ).
cnf(12,axiom,
n0(e,b),
file('SYN137-1.p',unknown),
[] ).
cnf(15,axiom,
p0(b,u),
file('SYN137-1.p',unknown),
[] ).
cnf(16,axiom,
n0(a,b),
file('SYN137-1.p',unknown),
[] ).
cnf(18,axiom,
q0(u,d),
file('SYN137-1.p',unknown),
[] ).
cnf(20,axiom,
m0(u,d,v),
file('SYN137-1.p',unknown),
[] ).
cnf(25,axiom,
l0(c),
file('SYN137-1.p',unknown),
[] ).
cnf(27,axiom,
n0(d,c),
file('SYN137-1.p',unknown),
[] ).
cnf(33,axiom,
k0(b),
file('SYN137-1.p',unknown),
[] ).
cnf(40,axiom,
( ~ n0(u,v)
| k1(v) ),
file('SYN137-1.p',unknown),
[] ).
cnf(41,axiom,
( ~ n0(u,v)
| l1(v,v) ),
file('SYN137-1.p',unknown),
[] ).
cnf(124,axiom,
( ~ p0(u,v)
| p1(v,v,v) ),
file('SYN137-1.p',unknown),
[] ).
cnf(164,axiom,
( ~ p0(u,u)
| s1(u) ),
file('SYN137-1.p',unknown),
[] ).
cnf(165,axiom,
( ~ s1(u)
| ~ q0(v,w)
| s1(v) ),
file('SYN137-1.p',unknown),
[] ).
cnf(170,axiom,
( ~ s1(u)
| ~ l2(v,v)
| ~ n0(e,v)
| l2(u,v) ),
file('SYN137-1.p',unknown),
[] ).
cnf(172,axiom,
( ~ s1(u)
| ~ p0(v,v)
| ~ m0(w,u,x)
| l2(x,x) ),
file('SYN137-1.p',unknown),
[] ).
cnf(175,axiom,
( ~ k1(b)
| m2(b) ),
file('SYN137-1.p',unknown),
[] ).
cnf(176,axiom,
( ~ p1(u,v,w)
| n2(w) ),
file('SYN137-1.p',unknown),
[] ).
cnf(222,axiom,
( ~ k1(u)
| ~ l0(c)
| ~ l2(u,v)
| q2(v,c,u) ),
file('SYN137-1.p',unknown),
[] ).
cnf(225,axiom,
( ~ l1(u,v)
| q2(v,v,u) ),
file('SYN137-1.p',unknown),
[] ).
cnf(228,axiom,
( ~ s1(b)
| ~ q2(b,u,b)
| s2(u) ),
file('SYN137-1.p',unknown),
[] ).
cnf(276,axiom,
( ~ s2(c)
| ~ q2(u,c,c)
| m3(u,c,u) ),
file('SYN137-1.p',unknown),
[] ).
cnf(283,axiom,
( ~ n2(u)
| p3(u,u,u) ),
file('SYN137-1.p',unknown),
[] ).
cnf(338,axiom,
( ~ l1(u,v)
| ~ p3(w,v,x)
| s4(u) ),
file('SYN137-1.p',unknown),
[] ).
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(419,plain,
( ~ s2(c)
| ~ q2(b,c,c) ),
inference(res,[status(thm),theory(equality)],[276,1]),
[iquote('0:Res:276.2,1.0')] ).
cnf(456,plain,
s1(b),
inference(res,[status(thm),theory(equality)],[15,164]),
[iquote('0:Res:15.0,164.0')] ).
cnf(457,plain,
( ~ q2(b,u,b)
| s2(u) ),
inference(mrr,[status(thm)],[228,456]),
[iquote('0:MRR:228.0,456.0')] ).
cnf(460,plain,
k1(c),
inference(res,[status(thm),theory(equality)],[27,40]),
[iquote('0:Res:27.0,40.0')] ).
cnf(462,plain,
k1(b),
inference(res,[status(thm),theory(equality)],[16,40]),
[iquote('0:Res:16.0,40.0')] ).
cnf(470,plain,
m2(b),
inference(mrr,[status(thm)],[175,462]),
[iquote('0:MRR:175.0,462.0')] ).
cnf(475,plain,
l1(c,c),
inference(res,[status(thm),theory(equality)],[27,41]),
[iquote('0:Res:27.0,41.0')] ).
cnf(477,plain,
l1(b,b),
inference(res,[status(thm),theory(equality)],[16,41]),
[iquote('0:Res:16.0,41.0')] ).
cnf(504,plain,
q2(b,b,b),
inference(res,[status(thm),theory(equality)],[477,225]),
[iquote('0:Res:477.0,225.0')] ).
cnf(506,plain,
s2(b),
inference(res,[status(thm),theory(equality)],[504,457]),
[iquote('0:Res:504.0,457.0')] ).
cnf(544,plain,
p1(u,u,u),
inference(res,[status(thm),theory(equality)],[15,124]),
[iquote('0:Res:15.0,124.0')] ).
cnf(548,plain,
n2(u),
inference(res,[status(thm),theory(equality)],[544,176]),
[iquote('0:Res:544.0,176.0')] ).
cnf(550,plain,
p3(u,u,u),
inference(mrr,[status(thm)],[283,548]),
[iquote('0:MRR:283.0,548.0')] ).
cnf(607,plain,
( ~ q0(u,v)
| s1(u) ),
inference(ems,[status(thm)],[165,456]),
[iquote('0:EmS:165.0,456.0')] ).
cnf(613,plain,
s1(u),
inference(res,[status(thm),theory(equality)],[18,607]),
[iquote('0:Res:18.0,607.0')] ).
cnf(619,plain,
( ~ l2(u,u)
| ~ n0(e,u)
| l2(v,u) ),
inference(mrr,[status(thm)],[170,613]),
[iquote('0:MRR:170.0,613.0')] ).
cnf(620,plain,
( ~ p0(u,u)
| ~ m0(v,w,x)
| l2(x,x) ),
inference(mrr,[status(thm)],[172,613]),
[iquote('0:MRR:172.0,613.0')] ).
cnf(739,plain,
( ~ l1(u,v)
| s4(u) ),
inference(res,[status(thm),theory(equality)],[550,338]),
[iquote('0:Res:550.0,338.1')] ).
cnf(740,plain,
s4(c),
inference(res,[status(thm),theory(equality)],[475,739]),
[iquote('0:Res:475.0,739.0')] ).
cnf(744,plain,
s4(b),
inference(res,[status(thm),theory(equality)],[477,739]),
[iquote('0:Res:477.0,739.0')] ).
cnf(997,plain,
( ~ p0(u,u)
| l2(v,v) ),
inference(res,[status(thm),theory(equality)],[20,620]),
[iquote('0:Res:20.0,620.1')] ).
cnf(1006,plain,
l2(u,u),
inference(res,[status(thm),theory(equality)],[15,997]),
[iquote('0:Res:15.0,997.0')] ).
cnf(1009,plain,
( ~ n0(e,u)
| l2(v,u) ),
inference(mrr,[status(thm)],[619,1006]),
[iquote('0:MRR:619.0,1006.0')] ).
cnf(1014,plain,
l2(u,b),
inference(res,[status(thm),theory(equality)],[12,1009]),
[iquote('0:Res:12.0,1009.0')] ).
cnf(1020,plain,
( ~ k1(u)
| q2(b,c,u) ),
inference(res,[status(thm),theory(equality)],[1014,400]),
[iquote('0:Res:1014.0,400.1')] ).
cnf(1026,plain,
( ~ k1(b)
| s2(c) ),
inference(res,[status(thm),theory(equality)],[1020,457]),
[iquote('0:Res:1020.1,457.0')] ).
cnf(1027,plain,
( ~ k1(c)
| ~ s2(c) ),
inference(res,[status(thm),theory(equality)],[1020,419]),
[iquote('0:Res:1020.1,419.1')] ).
cnf(1030,plain,
s2(c),
inference(ssi,[status(thm)],[1026,6,33,10,470,462,506,744]),
[iquote('0:SSi:1026.0,6.0,33.0,10.0,470.0,462.0,506.0,744.0')] ).
cnf(1033,plain,
~ s2(c),
inference(ssi,[status(thm)],[1027,25,460,740]),
[iquote('0:SSi:1027.0,25.0,460.0,740.0')] ).
cnf(1034,plain,
$false,
inference(mrr,[status(thm)],[1033,1030]),
[iquote('0:MRR:1033.0,1030.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SYN137-1 : TPTP v8.1.0. Released v1.1.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jul 11 20:49:34 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.50
% 0.19/0.50 SPASS V 3.9
% 0.19/0.50 SPASS beiseite: Proof found.
% 0.19/0.50 % SZS status Theorem
% 0.19/0.50 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.50 SPASS derived 538 clauses, backtracked 0 clauses, performed 0 splits and kept 628 clauses.
% 0.19/0.50 SPASS allocated 76387 KBytes.
% 0.19/0.50 SPASS spent 0:00:00.15 on the problem.
% 0.19/0.50 0:00:00.04 for the input.
% 0.19/0.50 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.50 0:00:00.01 for inferences.
% 0.19/0.50 0:00:00.00 for the backtracking.
% 0.19/0.50 0:00:00.06 for the reduction.
% 0.19/0.50
% 0.19/0.50
% 0.19/0.50 Here is a proof with depth 3, length 57 :
% 0.19/0.50 % SZS output start Refutation
% See solution above
% 0.19/0.50 Formulae used in the proof : prove_this axiom_5 axiom_9 axiom_11 axiom_14 axiom_15 axiom_17 axiom_19 axiom_24 axiom_26 axiom_32 rule_001 rule_002 rule_085 rule_125 rule_126 rule_131 rule_133 rule_136 rule_137 rule_183 rule_186 rule_189 rule_237 rule_244 rule_299
% 0.19/0.50
%------------------------------------------------------------------------------