TSTP Solution File: KRS160+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : KRS160+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% 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 03:30:45 EDT 2022
% Result : Theorem 0.11s 0.34s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of clauses : 21 ( 9 unt; 3 nHn; 21 RR)
% Number of literals : 50 ( 0 equ; 33 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
cowlThing(u),
file('KRS160+1.p',unknown),
[] ).
cnf(2,axiom,
cTEST(iV21080),
file('KRS160+1.p',unknown),
[] ).
cnf(3,axiom,
cC8xcomp(iV21080),
file('KRS160+1.p',unknown),
[] ).
cnf(5,axiom,
cC4(iV21081),
file('KRS160+1.p',unknown),
[] ).
cnf(6,axiom,
cC6xcomp(iV21081),
file('KRS160+1.p',unknown),
[] ).
cnf(7,axiom,
cC2(iV21081),
file('KRS160+1.p',unknown),
[] ).
cnf(9,axiom,
~ cowlNothing(u),
file('KRS160+1.p',unknown),
[] ).
cnf(12,axiom,
( xsd_string(u)
| xsd_integer(u) ),
file('KRS160+1.p',unknown),
[] ).
cnf(18,axiom,
( ~ cTEST(u)
| cC12(u) ),
file('KRS160+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ xsd_integer(u)
| ~ xsd_string(u) ),
file('KRS160+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ cC2(u)
| ~ cC4(u)
| cC10(u) ),
file('KRS160+1.p',unknown),
[] ).
cnf(41,axiom,
( ~ xsd_string(skc5)
| ~ cowlThing(skc3)
| ~ cowlThing(iV21080)
| ~ cC12(iV21080)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081)
| xsd_integer(skc5)
| cowlNothing(skc4) ),
file('KRS160+1.p',unknown),
[] ).
cnf(42,axiom,
( ~ xsd_integer(skc5)
| ~ cowlThing(skc3)
| ~ cowlThing(iV21080)
| ~ cC12(iV21080)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081)
| xsd_string(skc5)
| cowlNothing(skc4) ),
file('KRS160+1.p',unknown),
[] ).
cnf(43,plain,
( ~ cC10(iV21081)
| ~ cC12(iV21080)
| xsd_integer(skc5) ),
inference(mrr,[status(thm)],[41,12,1,9]),
[iquote('0:MRR:41.0,41.1,41.2,41.5,41.7,12.1,1.0,1.0,1.0,9.0')] ).
cnf(44,plain,
( ~ cC10(iV21081)
| ~ cC12(iV21080)
| xsd_string(skc5) ),
inference(mrr,[status(thm)],[42,43,1,9]),
[iquote('0:MRR:42.0,42.1,42.2,42.5,42.7,43.2,1.0,1.0,1.0,9.0')] ).
cnf(95,plain,
( ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cC12(iV21080)
| ~ cC10(iV21081) ),
inference(ems,[status(thm)],[19,43,44]),
[iquote('0:EmS:19.0,19.1,43.2,44.2')] ).
cnf(97,plain,
( ~ cC12(iV21080)
| ~ cC10(iV21081) ),
inference(obv,[status(thm),theory(equality)],[95]),
[iquote('0:Obv:95.1')] ).
cnf(98,plain,
( ~ cTEST(iV21080)
| ~ cC10(iV21081) ),
inference(res,[status(thm),theory(equality)],[18,97]),
[iquote('0:Res:18.1,97.0')] ).
cnf(99,plain,
~ cC10(iV21081),
inference(ssi,[status(thm)],[98,2,3]),
[iquote('0:SSi:98.0,2.0,3.0')] ).
cnf(109,plain,
( ~ cC2(iV21081)
| ~ cC4(iV21081) ),
inference(res,[status(thm),theory(equality)],[36,99]),
[iquote('0:Res:36.2,99.0')] ).
cnf(110,plain,
$false,
inference(ssi,[status(thm)],[109,6,7,5]),
[iquote('0:SSi:109.1,109.0,6.0,7.0,5.0,6.0,7.0,5.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.07 % Problem : KRS160+1 : TPTP v8.1.0. Released v3.1.0.
% 0.06/0.08 % Command : run_spass %d %s
% 0.08/0.26 % Computer : n032.cluster.edu
% 0.08/0.26 % Model : x86_64 x86_64
% 0.08/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.26 % Memory : 8042.1875MB
% 0.08/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.26 % CPULimit : 300
% 0.08/0.26 % WCLimit : 600
% 0.08/0.26 % DateTime : Tue Jun 7 08:28:50 EDT 2022
% 0.08/0.26 % CPUTime :
% 0.11/0.34
% 0.11/0.34 SPASS V 3.9
% 0.11/0.34 SPASS beiseite: Proof found.
% 0.11/0.34 % SZS status Theorem
% 0.11/0.34 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.34 SPASS derived 29 clauses, backtracked 0 clauses, performed 0 splits and kept 58 clauses.
% 0.11/0.34 SPASS allocated 98000 KBytes.
% 0.11/0.34 SPASS spent 0:00:00.07 on the problem.
% 0.11/0.34 0:00:00.03 for the input.
% 0.11/0.34 0:00:00.02 for the FLOTTER CNF translation.
% 0.11/0.34 0:00:00.00 for inferences.
% 0.11/0.34 0:00:00.00 for the backtracking.
% 0.11/0.34 0:00:00.00 for the reduction.
% 0.11/0.34
% 0.11/0.34
% 0.11/0.34 Here is a proof with depth 3, length 21 :
% 0.11/0.34 % SZS output start Refutation
% See solution above
% 0.11/0.34 Formulae used in the proof : axiom_0 axiom_13 axiom_14 axiom_18 axiom_19 axiom_20 axiom_1 axiom_12 axiom_2 the_axiom
% 0.11/0.34
%------------------------------------------------------------------------------