TSTP Solution File: KRS003_1 by SPASS+T---2.2.22
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%------------------------------------------------------------------------------
% File : SPASS+T---2.2.22
% Problem : KRS003_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : spasst-tptp-script %s %d
% Computer : n032.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 03:31:06 EDT 2022
% Result : Theorem 0.43s 0.75s
% Output : Refutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of clauses : 29 ( 7 unt; 0 nHn; 29 RR)
% Number of literals : 90 ( 0 equ; 70 neg)
% Maximal clause size : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 23 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
unreal(exist),
file('KRS003_1.p',unknown),
[] ).
cnf(4,axiom,
e(exist),
file('KRS003_1.p',unknown),
[] ).
cnf(5,axiom,
f(exist),
file('KRS003_1.p',unknown),
[] ).
cnf(8,axiom,
( ~ unreal(U)
| real(u1r2(U)) ),
file('KRS003_1.p',unknown),
[] ).
cnf(9,axiom,
( ~ unreal(U)
| real(u1r1(U)) ),
file('KRS003_1.p',unknown),
[] ).
cnf(10,axiom,
( ~ unreal(U)
| ~ f(U)
| d(U) ),
file('KRS003_1.p',unknown),
[] ).
cnf(11,axiom,
( ~ unreal(U)
| ~ e(U)
| c(U) ),
file('KRS003_1.p',unknown),
[] ).
cnf(13,axiom,
( ~ unreal(U)
| ~ d(U)
| s1most(U) ),
file('KRS003_1.p',unknown),
[] ).
cnf(15,axiom,
( ~ unreal(U)
| ~ c(U)
| s2least(U) ),
file('KRS003_1.p',unknown),
[] ).
cnf(18,axiom,
( ~ unreal(U)
| ~ s2least(U)
| s(U,u1r2(U)) ),
file('KRS003_1.p',unknown),
[] ).
cnf(19,axiom,
( ~ unreal(U)
| ~ s2least(U)
| s(U,u1r1(U)) ),
file('KRS003_1.p',unknown),
[] ).
cnf(21,axiom,
( ~ unreal(U)
| ~ s2least(U)
| ~ equalish(u1r2(U),u1r1(U)) ),
file('KRS003_1.p',unknown),
[] ).
cnf(23,axiom,
( ~ real(U)
| ~ real(V)
| ~ unreal(W)
| ~ s1most(W)
| ~ s(W,U)
| ~ s(W,V)
| equalish(V,U) ),
file('KRS003_1.p',unknown),
[] ).
cnf(24,plain,
( ~ unreal(exist)
| d(exist) ),
inference(res,[status(thm),theory(equality)],[5,10]),
[iquote('0:Res:5.0,10.0')] ).
cnf(25,plain,
( ~ unreal(exist)
| c(exist) ),
inference(res,[status(thm),theory(equality)],[4,11]),
[iquote('0:Res:4.0,11.0')] ).
cnf(26,plain,
d(exist),
inference(mrr,[status(thm)],[24,1]),
[iquote('0:MRR:24.0,1.0')] ).
cnf(27,plain,
c(exist),
inference(mrr,[status(thm)],[25,1]),
[iquote('0:MRR:25.0,1.0')] ).
cnf(61,plain,
( ~ unreal(U)
| ~ s2least(U)
| ~ real(u1r1(U))
| ~ real(V)
| ~ unreal(U)
| ~ s1most(U)
| ~ s(U,V)
| equalish(V,u1r1(U)) ),
inference(res,[status(thm),theory(equality)],[19,23]),
[iquote('0:Res:19.2,23.4')] ).
cnf(65,plain,
( ~ s2least(U)
| ~ real(u1r1(U))
| ~ real(V)
| ~ unreal(U)
| ~ s1most(U)
| ~ s(U,V)
| equalish(V,u1r1(U)) ),
inference(obv,[status(thm),theory(equality)],[61]),
[iquote('0:Obv:61.0')] ).
cnf(66,plain,
( ~ s2least(U)
| ~ real(V)
| ~ unreal(U)
| ~ s1most(U)
| ~ s(U,V)
| equalish(V,u1r1(U)) ),
inference(mrr,[status(thm)],[65,9]),
[iquote('0:MRR:65.1,9.1')] ).
cnf(72,plain,
( ~ s2least(U)
| ~ real(u1r2(U))
| ~ unreal(U)
| ~ s1most(U)
| ~ s(U,u1r2(U))
| ~ unreal(U)
| ~ s2least(U) ),
inference(res,[status(thm),theory(equality)],[66,21]),
[iquote('0:Res:66.5,21.2')] ).
cnf(73,plain,
( ~ real(u1r2(U))
| ~ s1most(U)
| ~ s(U,u1r2(U))
| ~ unreal(U)
| ~ s2least(U) ),
inference(obv,[status(thm),theory(equality)],[72]),
[iquote('0:Obv:72.2')] ).
cnf(74,plain,
( ~ s1most(U)
| ~ unreal(U)
| ~ s2least(U) ),
inference(mrr,[status(thm)],[73,8,18]),
[iquote('0:MRR:73.0,73.2,8.1,18.2')] ).
cnf(76,plain,
( ~ unreal(U)
| ~ d(U)
| ~ unreal(U)
| ~ s2least(U) ),
inference(res,[status(thm),theory(equality)],[13,74]),
[iquote('0:Res:13.2,74.0')] ).
cnf(77,plain,
( ~ d(U)
| ~ unreal(U)
| ~ s2least(U) ),
inference(obv,[status(thm),theory(equality)],[76]),
[iquote('0:Obv:76.0')] ).
cnf(78,plain,
( ~ unreal(exist)
| ~ s2least(exist) ),
inference(res,[status(thm),theory(equality)],[26,77]),
[iquote('0:Res:26.0,77.0')] ).
cnf(81,plain,
~ s2least(exist),
inference(mrr,[status(thm)],[78,1]),
[iquote('0:MRR:78.0,1.0')] ).
cnf(83,plain,
( ~ unreal(exist)
| ~ c(exist) ),
inference(res,[status(thm),theory(equality)],[15,81]),
[iquote('0:Res:15.2,81.0')] ).
cnf(84,plain,
$false,
inference(mrr,[status(thm)],[83,1,27]),
[iquote('0:MRR:83.0,83.1,1.0,27.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : KRS003_1 : TPTP v8.1.0. Released v5.0.0.
% 0.00/0.07 % Command : spasst-tptp-script %s %d
% 0.06/0.26 % Computer : n032.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 600
% 0.06/0.26 % DateTime : Tue Jun 7 16:47:50 EDT 2022
% 0.06/0.26 % CPUTime :
% 0.10/0.34 % Using EUF theory
% 0.43/0.75
% 0.43/0.75
% 0.43/0.75 % SZS status Theorem for /tmp/SPASST_16969_n032.cluster.edu
% 0.43/0.75
% 0.43/0.75 SPASS V 2.2.22 in combination with yices.
% 0.43/0.75 SPASS beiseite: Proof found by SPASS.
% 0.43/0.75 Problem: /tmp/SPASST_16969_n032.cluster.edu
% 0.43/0.75 SPASS derived 21 clauses, backtracked 0 clauses and kept 36 clauses.
% 0.43/0.75 SPASS backtracked 0 times (0 times due to theory inconsistency).
% 0.43/0.75 SPASS allocated 6383 KBytes.
% 0.43/0.75 SPASS spent 0:00:00.01 on the problem.
% 0.43/0.75 0:00:00.00 for the input.
% 0.43/0.75 0:00:00.00 for the FLOTTER CNF translation.
% 0.43/0.75 0:00:00.00 for inferences.
% 0.43/0.75 0:00:00.00 for the backtracking.
% 0.43/0.75 0:00:00.00 for the reduction.
% 0.43/0.75 0:00:00.00 for interacting with the SMT procedure.
% 0.43/0.75
% 0.43/0.75
% 0.43/0.75 % SZS output start CNFRefutation for /tmp/SPASST_16969_n032.cluster.edu
% See solution above
% 0.43/0.75
% 0.43/0.75 Formulae used in the proof : fof_exist_type fof_clause_1__clause_2 fof_u1r2_type fof_u1r1_type fof_clause_16 fof_clause_15 fof_clause_9 fof_clause_3 fof_clause_7 fof_clause_6 fof_clause_5 fof_clause_11
% 0.47/0.77
% 0.47/0.77 SPASS+T ended
%------------------------------------------------------------------------------