TSTP Solution File: KRS129+1 by Leo-III-SAT---1.7.10
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : KRS129+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n007.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 : 300s
% DateTime : Tue May 7 10:38:22 EDT 2024
% Result : Theorem 6.32s 2.40s
% Output : Refutation 6.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 19
% Syntax : Number of formulae : 89 ( 14 unt; 13 typ; 0 def)
% Number of atoms : 237 ( 6 equ; 0 cnn)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 508 ( 114 ~; 100 |; 28 &; 245 @)
% ( 5 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 60 ( 0 ^ 53 !; 7 ?; 60 :)
% Comments :
%------------------------------------------------------------------------------
thf(cowlThing_type,type,
cowlThing: $i > $o ).
thf(cowlNothing_type,type,
cowlNothing: $i > $o ).
thf(xsd_string_type,type,
xsd_string: $i > $o ).
thf(xsd_integer_type,type,
xsd_integer: $i > $o ).
thf(cEuroMP_type,type,
cEuroMP: $i > $o ).
thf(iKinnock_type,type,
iKinnock: $i ).
thf(rhasEuroMP_type,type,
rhasEuroMP: $i > $i > $o ).
thf(risEuroMPFrom_type,type,
risEuroMPFrom: $i > $i > $o ).
thf(iUK_type,type,
iUK: $i ).
thf(sk1_type,type,
sk1: $i ).
thf(sk2_type,type,
sk2: $i ).
thf(sk3_type,type,
sk3: $i ).
thf(sk4_type,type,
sk4: $i ).
thf(21,axiom,
! [A: $i] :
( ( xsd_string @ A )
<=> ~ ( xsd_integer @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
thf(101,plain,
! [A: $i] :
( ( ( xsd_string @ A )
=> ~ ( xsd_integer @ A ) )
& ( ~ ( xsd_integer @ A )
=> ( xsd_string @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(102,plain,
( ! [A: $i] :
( ( xsd_string @ A )
=> ~ ( xsd_integer @ A ) )
& ! [A: $i] :
( ~ ( xsd_integer @ A )
=> ( xsd_string @ A ) ) ),
inference(miniscope,[status(thm)],[101]) ).
thf(103,plain,
! [A: $i] :
( ( xsd_integer @ A )
| ( xsd_string @ A ) ),
inference(cnf,[status(esa)],[102]) ).
thf(105,plain,
! [A: $i] :
( ( xsd_integer @ A )
| ( xsd_string @ A ) ),
inference(simp,[status(thm)],[103]) ).
thf(1,conjecture,
( ! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) )
& ! [A: $i] :
( ( xsd_string @ A )
<=> ~ ( xsd_integer @ A ) )
& ( cEuroMP @ iKinnock ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
thf(2,negated_conjecture,
~ ( ! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) )
& ! [A: $i] :
( ( xsd_string @ A )
<=> ~ ( xsd_integer @ A ) )
& ( cEuroMP @ iKinnock ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(29,plain,
~ ( ! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) )
& ! [A: $i] :
( ( ( xsd_string @ A )
=> ~ ( xsd_integer @ A ) )
& ( ~ ( xsd_integer @ A )
=> ( xsd_string @ A ) ) )
& ( cEuroMP @ iKinnock ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(30,plain,
~ ( ! [A: $i] : ( cowlThing @ A )
& ~ ? [A: $i] : ( cowlNothing @ A )
& ! [A: $i] :
( ( xsd_string @ A )
=> ~ ( xsd_integer @ A ) )
& ! [A: $i] :
( ~ ( xsd_integer @ A )
=> ( xsd_string @ A ) )
& ( cEuroMP @ iKinnock ) ),
inference(miniscope,[status(thm)],[29]) ).
thf(33,plain,
( ~ ( cowlThing @ sk1 )
| ( cowlNothing @ sk2 )
| ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cEuroMP @ iKinnock ) ),
inference(cnf,[status(esa)],[30]) ).
thf(27,axiom,
! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
thf(128,plain,
! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(129,plain,
( ! [A: $i] : ( cowlThing @ A )
& ~ ? [A: $i] : ( cowlNothing @ A ) ),
inference(miniscope,[status(thm)],[128]) ).
thf(130,plain,
! [A: $i] :
~ ( cowlNothing @ A ),
inference(cnf,[status(esa)],[129]) ).
thf(132,plain,
! [A: $i] :
~ ( cowlNothing @ A ),
inference(simp,[status(thm)],[130]) ).
thf(141,plain,
( ~ ( cowlThing @ sk1 )
| $false
| ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cEuroMP @ iKinnock ) ),
inference(rewrite,[status(thm)],[33,132]) ).
thf(142,plain,
( ~ ( cowlThing @ sk1 )
| ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cEuroMP @ iKinnock ) ),
inference(simp,[status(thm)],[141]) ).
thf(131,plain,
! [A: $i] : ( cowlThing @ A ),
inference(cnf,[status(esa)],[129]) ).
thf(147,plain,
( ~ $true
| ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cEuroMP @ iKinnock ) ),
inference(rewrite,[status(thm)],[142,131]) ).
thf(148,plain,
( ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cEuroMP @ iKinnock ) ),
inference(simp,[status(thm)],[147]) ).
thf(20,axiom,
rhasEuroMP @ iUK @ iKinnock,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
thf(100,plain,
rhasEuroMP @ iUK @ iKinnock,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(14,axiom,
! [A: $i,B: $i] :
( ( risEuroMPFrom @ A @ B )
<=> ( rhasEuroMP @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
thf(64,plain,
! [A: $i,B: $i] :
( ( ( risEuroMPFrom @ A @ B )
=> ( rhasEuroMP @ B @ A ) )
& ( ( rhasEuroMP @ B @ A )
=> ( risEuroMPFrom @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(65,plain,
( ! [A: $i,B: $i] :
( ( risEuroMPFrom @ A @ B )
=> ( rhasEuroMP @ B @ A ) )
& ! [A: $i,B: $i] :
( ( rhasEuroMP @ B @ A )
=> ( risEuroMPFrom @ A @ B ) ) ),
inference(miniscope,[status(thm)],[64]) ).
thf(66,plain,
! [B: $i,A: $i] :
( ~ ( rhasEuroMP @ B @ A )
| ( risEuroMPFrom @ A @ B ) ),
inference(cnf,[status(esa)],[65]) ).
thf(68,plain,
! [B: $i,A: $i] :
( ~ ( rhasEuroMP @ B @ A )
| ( risEuroMPFrom @ A @ B ) ),
inference(simp,[status(thm)],[66]) ).
thf(216,plain,
! [B: $i,A: $i] :
( ( risEuroMPFrom @ A @ B )
| ( ( rhasEuroMP @ iUK @ iKinnock )
!= ( rhasEuroMP @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[100,68]) ).
thf(217,plain,
risEuroMPFrom @ iKinnock @ iUK,
inference(pattern_uni,[status(thm)],[216:[bind(A,$thf( iKinnock )),bind(B,$thf( iUK ))]]) ).
thf(24,axiom,
! [A: $i] :
( ( cEuroMP @ A )
<=> ? [B: $i] :
( ( risEuroMPFrom @ A @ B )
& ( cowlThing @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
thf(114,plain,
! [A: $i] :
( ( ( cEuroMP @ A )
=> ? [B: $i] :
( ( risEuroMPFrom @ A @ B )
& ( cowlThing @ B ) ) )
& ( ? [B: $i] :
( ( risEuroMPFrom @ A @ B )
& ( cowlThing @ B ) )
=> ( cEuroMP @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(115,plain,
( ! [A: $i] :
( ( cEuroMP @ A )
=> ? [B: $i] :
( ( risEuroMPFrom @ A @ B )
& ( cowlThing @ B ) ) )
& ! [A: $i] :
( ? [B: $i] :
( ( risEuroMPFrom @ A @ B )
& ( cowlThing @ B ) )
=> ( cEuroMP @ A ) ) ),
inference(miniscope,[status(thm)],[114]) ).
thf(116,plain,
! [B: $i,A: $i] :
( ~ ( risEuroMPFrom @ A @ B )
| ~ ( cowlThing @ B )
| ( cEuroMP @ A ) ),
inference(cnf,[status(esa)],[115]) ).
thf(119,plain,
! [B: $i,A: $i] :
( ~ ( risEuroMPFrom @ A @ B )
| ~ ( cowlThing @ B )
| ( cEuroMP @ A ) ),
inference(simp,[status(thm)],[116]) ).
thf(153,plain,
! [B: $i,A: $i] :
( ~ ( risEuroMPFrom @ A @ B )
| ~ $true
| ( cEuroMP @ A ) ),
inference(rewrite,[status(thm)],[119,131]) ).
thf(154,plain,
! [B: $i,A: $i] :
( ~ ( risEuroMPFrom @ A @ B )
| ( cEuroMP @ A ) ),
inference(simp,[status(thm)],[153]) ).
thf(228,plain,
! [B: $i,A: $i] :
( ( cEuroMP @ A )
| ( ( risEuroMPFrom @ iKinnock @ iUK )
!= ( risEuroMPFrom @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[217,154]) ).
thf(229,plain,
cEuroMP @ iKinnock,
inference(pattern_uni,[status(thm)],[228:[bind(A,$thf( iKinnock )),bind(B,$thf( iUK ))]]) ).
thf(244,plain,
( ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ $true ),
inference(rewrite,[status(thm)],[148,229]) ).
thf(245,plain,
( ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 ) ),
inference(simp,[status(thm)],[244]) ).
thf(31,plain,
( ~ ( cowlThing @ sk1 )
| ( cowlNothing @ sk2 )
| ( xsd_string @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cEuroMP @ iKinnock ) ),
inference(cnf,[status(esa)],[30]) ).
thf(137,plain,
( ~ ( cowlThing @ sk1 )
| $false
| ( xsd_string @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cEuroMP @ iKinnock ) ),
inference(rewrite,[status(thm)],[31,132]) ).
thf(138,plain,
( ~ ( cowlThing @ sk1 )
| ( xsd_string @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cEuroMP @ iKinnock ) ),
inference(simp,[status(thm)],[137]) ).
thf(145,plain,
( ~ $true
| ( xsd_string @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cEuroMP @ iKinnock ) ),
inference(rewrite,[status(thm)],[138,131]) ).
thf(146,plain,
( ( xsd_string @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cEuroMP @ iKinnock ) ),
inference(simp,[status(thm)],[145]) ).
thf(157,plain,
! [A: $i] :
( ( xsd_string @ A )
| ( xsd_string @ sk3 )
| ~ ( cEuroMP @ iKinnock )
| ( ( xsd_integer @ A )
!= ( xsd_integer @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[105,146]) ).
thf(158,plain,
( ( xsd_string @ sk4 )
| ( xsd_string @ sk3 )
| ~ ( cEuroMP @ iKinnock ) ),
inference(pattern_uni,[status(thm)],[157:[bind(A,$thf( sk4 ))]]) ).
thf(259,plain,
( ( xsd_string @ sk4 )
| ( xsd_string @ sk3 )
| ~ $true ),
inference(rewrite,[status(thm)],[158,229]) ).
thf(260,plain,
( ( xsd_string @ sk4 )
| ( xsd_string @ sk3 ) ),
inference(simp,[status(thm)],[259]) ).
thf(32,plain,
( ~ ( cowlThing @ sk1 )
| ( cowlNothing @ sk2 )
| ( xsd_string @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cEuroMP @ iKinnock ) ),
inference(cnf,[status(esa)],[30]) ).
thf(139,plain,
( ~ ( cowlThing @ sk1 )
| $false
| ( xsd_string @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cEuroMP @ iKinnock ) ),
inference(rewrite,[status(thm)],[32,132]) ).
thf(140,plain,
( ~ ( cowlThing @ sk1 )
| ( xsd_string @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cEuroMP @ iKinnock ) ),
inference(simp,[status(thm)],[139]) ).
thf(151,plain,
( ~ $true
| ( xsd_string @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cEuroMP @ iKinnock ) ),
inference(rewrite,[status(thm)],[140,131]) ).
thf(152,plain,
( ( xsd_string @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cEuroMP @ iKinnock ) ),
inference(simp,[status(thm)],[151]) ).
thf(242,plain,
( ( xsd_string @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ $true ),
inference(rewrite,[status(thm)],[152,229]) ).
thf(243,plain,
( ( xsd_string @ sk3 )
| ~ ( xsd_string @ sk4 ) ),
inference(simp,[status(thm)],[242]) ).
thf(261,plain,
( ( xsd_string @ sk3 )
| ( ( xsd_string @ sk4 )
!= ( xsd_string @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[260,243]) ).
thf(262,plain,
xsd_string @ sk3,
inference(pattern_uni,[status(thm)],[261:[]]) ).
thf(104,plain,
! [A: $i] :
( ~ ( xsd_string @ A )
| ~ ( xsd_integer @ A ) ),
inference(cnf,[status(esa)],[102]) ).
thf(271,plain,
! [A: $i] :
( ~ ( xsd_integer @ A )
| ( ( xsd_string @ sk3 )
!= ( xsd_string @ A ) ) ),
inference(paramod_ordered,[status(thm)],[262,104]) ).
thf(272,plain,
~ ( xsd_integer @ sk3 ),
inference(pattern_uni,[status(thm)],[271:[bind(A,$thf( sk3 ))]]) ).
thf(275,plain,
( $false
| ~ ( xsd_integer @ sk4 ) ),
inference(rewrite,[status(thm)],[245,272]) ).
thf(276,plain,
~ ( xsd_integer @ sk4 ),
inference(simp,[status(thm)],[275]) ).
thf(281,plain,
! [A: $i] :
( ( xsd_string @ A )
| ( ( xsd_integer @ A )
!= ( xsd_integer @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[105,276]) ).
thf(282,plain,
xsd_string @ sk4,
inference(pattern_uni,[status(thm)],[281:[bind(A,$thf( sk4 ))]]) ).
thf(34,plain,
( ~ ( cowlThing @ sk1 )
| ( cowlNothing @ sk2 )
| ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cEuroMP @ iKinnock ) ),
inference(cnf,[status(esa)],[30]) ).
thf(143,plain,
( ~ ( cowlThing @ sk1 )
| $false
| ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cEuroMP @ iKinnock ) ),
inference(rewrite,[status(thm)],[34,132]) ).
thf(144,plain,
( ~ ( cowlThing @ sk1 )
| ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cEuroMP @ iKinnock ) ),
inference(simp,[status(thm)],[143]) ).
thf(149,plain,
( ~ $true
| ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cEuroMP @ iKinnock ) ),
inference(rewrite,[status(thm)],[144,131]) ).
thf(150,plain,
( ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cEuroMP @ iKinnock ) ),
inference(simp,[status(thm)],[149]) ).
thf(246,plain,
( ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ $true ),
inference(rewrite,[status(thm)],[150,229]) ).
thf(247,plain,
( ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 ) ),
inference(simp,[status(thm)],[246]) ).
thf(285,plain,
( $false
| ~ ( xsd_string @ sk4 ) ),
inference(rewrite,[status(thm)],[247,272]) ).
thf(286,plain,
~ ( xsd_string @ sk4 ),
inference(simp,[status(thm)],[285]) ).
thf(293,plain,
$false,
inference(rewrite,[status(thm)],[282,286]) ).
thf(294,plain,
$false,
inference(simp,[status(thm)],[293]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS129+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.16 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n007.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Mon May 6 22:55:54 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.99/0.86 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.17/0.99 % [INFO] Parsing done (128ms).
% 1.17/1.00 % [INFO] Running in sequential loop mode.
% 1.79/1.21 % [INFO] nitpick registered as external prover.
% 1.79/1.22 % [INFO] Scanning for conjecture ...
% 1.90/1.28 % [INFO] Found a conjecture and 26 axioms. Running axiom selection ...
% 1.90/1.32 % [INFO] Axiom selection finished. Selected 26 axioms (removed 0 axioms).
% 2.17/1.35 % [INFO] Problem is first-order (TPTP FOF).
% 2.17/1.36 % [INFO] Type checking passed.
% 2.17/1.36 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 6.32/2.39 % [INFO] Killing All external provers ...
% 6.32/2.40 % Time passed: 1855ms (effective reasoning time: 1387ms)
% 6.32/2.40 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 6.32/2.40 % Axioms used in derivation (5): axiom_3, axiom_1, axiom_0, axiom_5, axiom_13
% 6.32/2.40 % No. of inferences in proof: 76
% 6.32/2.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1855 ms resp. 1387 ms w/o parsing
% 6.38/2.46 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.38/2.46 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------