%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN148-1 : 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 12:19:02 EDT 2022
% Result : Unsatisfiable 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of clauses : 26 ( 13 unt; 0 nHn; 26 RR)
% Number of literals : 46 ( 0 equ; 25 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ n1(c,d,d),
file('SYN148-1.p',unknown),
[] ).
cnf(6,axiom,
s0(b),
file('SYN148-1.p',unknown),
[] ).
cnf(15,axiom,
p0(b,u),
file('SYN148-1.p',unknown),
[] ).
cnf(25,axiom,
l0(c),
file('SYN148-1.p',unknown),
[] ).
cnf(27,axiom,
n0(d,c),
file('SYN148-1.p',unknown),
[] ).
cnf(40,axiom,
( ~ n0(u,v)
| k1(v) ),
file('SYN148-1.p',unknown),
[] ).
cnf(41,axiom,
( ~ n0(u,v)
| l1(v,v) ),
file('SYN148-1.p',unknown),
[] ).
cnf(89,axiom,
( ~ l0(u)
| ~ s0(b)
| ~ p0(b,v)
| n1(u,v,u) ),
file('SYN148-1.p',unknown),
[] ).
cnf(93,axiom,
( ~ l0(u)
| ~ l1(u,v)
| ~ n1(v,w,v)
| n1(v,w,w) ),
file('SYN148-1.p',unknown),
[] ).
cnf(124,axiom,
( ~ p0(u,v)
| p1(v,v,v) ),
file('SYN148-1.p',unknown),
[] ).
cnf(176,axiom,
( ~ p1(u,v,w)
| n2(w) ),
file('SYN148-1.p',unknown),
[] ).
cnf(283,axiom,
( ~ n2(u)
| p3(u,u,u) ),
file('SYN148-1.p',unknown),
[] ).
cnf(338,axiom,
( ~ l1(u,v)
| ~ p3(w,v,x)
| s4(u) ),
file('SYN148-1.p',unknown),
[] ).
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(420,plain,
( ~ l0(u)
| ~ l1(u,c)
| ~ n1(c,d,c) ),
inference(res,[status(thm),theory(equality)],[93,1]),
[iquote('0:Res:93.3,1.0')] ).
cnf(459,plain,
k1(c),
inference(res,[status(thm),theory(equality)],[27,40]),
[iquote('0:Res:27.0,40.0')] ).
cnf(474,plain,
l1(c,c),
inference(res,[status(thm),theory(equality)],[27,41]),
[iquote('0:Res:27.0,41.0')] ).
cnf(543,plain,
p1(u,u,u),
inference(res,[status(thm),theory(equality)],[15,124]),
[iquote('0:Res:15.0,124.0')] ).
cnf(547,plain,
n2(u),
inference(res,[status(thm),theory(equality)],[543,176]),
[iquote('0:Res:543.0,176.0')] ).
cnf(549,plain,
p3(u,u,u),
inference(mrr,[status(thm)],[283,547]),
[iquote('0:MRR:283.0,547.0')] ).
cnf(735,plain,
( ~ l1(u,v)
| s4(u) ),
inference(res,[status(thm),theory(equality)],[549,338]),
[iquote('0:Res:549.0,338.1')] ).
cnf(738,plain,
s4(c),
inference(res,[status(thm),theory(equality)],[474,735]),
[iquote('0:Res:474.0,735.0')] ).
cnf(759,plain,
( ~ l0(c)
| ~ l0(u)
| ~ l1(u,c) ),
inference(res,[status(thm),theory(equality)],[405,420]),
[iquote('0:Res:405.1,420.2')] ).
cnf(760,plain,
( ~ l0(u)
| ~ l1(u,c) ),
inference(ssi,[status(thm)],[759,25,459,738]),
[iquote('0:SSi:759.0,25.0,459.0,738.0')] ).
cnf(761,plain,
~ l0(c),
inference(res,[status(thm),theory(equality)],[474,760]),
[iquote('0:Res:474.0,760.1')] ).
cnf(762,plain,
$false,
inference(ssi,[status(thm)],[761,25,459,738]),
[iquote('0:SSi:761.0,25.0,459.0,738.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN148-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 11 20:20:17 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49
% 0.19/0.49 SPASS V 3.9
% 0.19/0.49 SPASS beiseite: Proof found.
% 0.19/0.49 % SZS status Theorem
% 0.19/0.49 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.49 SPASS derived 297 clauses, backtracked 0 clauses, performed 0 splits and kept 509 clauses.
% 0.19/0.49 SPASS allocated 76236 KBytes.
% 0.19/0.49 SPASS spent 0:00:00.13 on the problem.
% 0.19/0.49 0:00:00.04 for the input.
% 0.19/0.49 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.49 0:00:00.00 for inferences.
% 0.19/0.49 0:00:00.00 for the backtracking.
% 0.19/0.49 0:00:00.05 for the reduction.
% 0.19/0.49
% 0.19/0.49
% 0.19/0.49 Here is a proof with depth 3, length 26 :
% 0.19/0.49 % SZS output start Refutation
% See solution above
% 0.19/0.49 Formulae used in the proof : prove_this axiom_5 axiom_14 axiom_24 axiom_26 rule_001 rule_002 rule_050 rule_054 rule_085 rule_137 rule_244 rule_299
% 0.19/0.49
%------------------------------------------------------------------------------