TSTP Solution File: KRS002-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : KRS002-1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n029.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 : Sun Jul 17 03:30:14 EDT 2022
% Result : Unsatisfiable 0.21s 0.42s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of clauses : 21 ( 5 unt; 0 nHn; 21 RR)
% Number of literals : 46 ( 0 equ; 30 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ c(u)
| s2least(u) ),
file('KRS002-1.p',unknown),
[] ).
cnf(3,axiom,
( ~ s2least(u)
| ~ equalish(u1r2(u),u1r1(u)) ),
file('KRS002-1.p',unknown),
[] ).
cnf(4,axiom,
( ~ s2least(u)
| s(u,u1r1(u)) ),
file('KRS002-1.p',unknown),
[] ).
cnf(5,axiom,
( ~ s2least(u)
| s(u,u1r2(u)) ),
file('KRS002-1.p',unknown),
[] ).
cnf(7,axiom,
( ~ d(u)
| s1most(u) ),
file('KRS002-1.p',unknown),
[] ).
cnf(9,axiom,
( ~ s1most(u)
| ~ s(u,v)
| ~ s(u,w)
| equalish(w,v) ),
file('KRS002-1.p',unknown),
[] ).
cnf(13,axiom,
( ~ e(u)
| r(u,u4r2(u)) ),
file('KRS002-1.p',unknown),
[] ).
cnf(14,axiom,
( ~ e(u)
| ~ r(u,v)
| d(v) ),
file('KRS002-1.p',unknown),
[] ).
cnf(15,axiom,
( ~ e(u)
| ~ r(u,v)
| c(v) ),
file('KRS002-1.p',unknown),
[] ).
cnf(18,axiom,
e(exist),
file('KRS002-1.p',unknown),
[] ).
cnf(19,plain,
( ~ r(exist,u)
| d(u) ),
inference(res,[status(thm),theory(equality)],[18,14]),
[iquote('0:Res:18.0,14.0')] ).
cnf(20,plain,
( ~ r(exist,u)
| c(u) ),
inference(res,[status(thm),theory(equality)],[18,15]),
[iquote('0:Res:18.0,15.0')] ).
cnf(21,plain,
r(exist,u4r2(exist)),
inference(res,[status(thm),theory(equality)],[18,13]),
[iquote('0:Res:18.0,13.0')] ).
cnf(37,plain,
c(u4r2(exist)),
inference(res,[status(thm),theory(equality)],[21,20]),
[iquote('0:Res:21.0,20.0')] ).
cnf(38,plain,
d(u4r2(exist)),
inference(res,[status(thm),theory(equality)],[21,19]),
[iquote('0:Res:21.0,19.0')] ).
cnf(61,plain,
( ~ s2least(u)
| ~ s1most(u)
| ~ s(u,v)
| equalish(v,u1r1(u)) ),
inference(res,[status(thm),theory(equality)],[4,9]),
[iquote('0:Res:4.1,9.1')] ).
cnf(62,plain,
( ~ s2least(u)
| ~ s1most(u)
| ~ s2least(u)
| ~ s(u,u1r2(u)) ),
inference(res,[status(thm),theory(equality)],[61,3]),
[iquote('0:Res:61.3,3.1')] ).
cnf(63,plain,
( ~ s1most(u)
| ~ s2least(u)
| ~ s(u,u1r2(u)) ),
inference(obv,[status(thm),theory(equality)],[62]),
[iquote('0:Obv:62.0')] ).
cnf(64,plain,
( ~ s1most(u)
| ~ s2least(u) ),
inference(mrr,[status(thm)],[63,5]),
[iquote('0:MRR:63.2,5.1')] ).
cnf(65,plain,
( ~ d(u)
| ~ c(u) ),
inference(ems,[status(thm)],[64,7,1]),
[iquote('0:EmS:64.0,64.1,7.1,1.1')] ).
cnf(71,plain,
$false,
inference(ems,[status(thm)],[65,38,37]),
[iquote('0:EmS:65.0,65.1,38.0,37.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : KRS002-1 : TPTP v8.1.0. Released v2.0.0.
% 0.14/0.13 % Command : run_spass %d %s
% 0.14/0.34 % Computer : n029.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Tue Jun 7 08:00:35 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.42
% 0.21/0.42 SPASS V 3.9
% 0.21/0.42 SPASS beiseite: Proof found.
% 0.21/0.42 % SZS status Theorem
% 0.21/0.42 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.42 SPASS derived 36 clauses, backtracked 0 clauses, performed 0 splits and kept 39 clauses.
% 0.21/0.42 SPASS allocated 75632 KBytes.
% 0.21/0.42 SPASS spent 0:00:00.06 on the problem.
% 0.21/0.42 0:00:00.04 for the input.
% 0.21/0.42 0:00:00.00 for the FLOTTER CNF translation.
% 0.21/0.42 0:00:00.00 for inferences.
% 0.21/0.42 0:00:00.00 for the backtracking.
% 0.21/0.42 0:00:00.00 for the reduction.
% 0.21/0.42
% 0.21/0.42
% 0.21/0.42 Here is a proof with depth 4, length 21 :
% 0.21/0.42 % SZS output start Refutation
% See solution above
% 0.21/0.42 Formulae used in the proof : clause_2 clause_4 clause_5 clause_6 clause_8 clause_10 clause_14 clause_15 clause_16 clause_1
% 0.21/0.42
%------------------------------------------------------------------------------