TSTP Solution File: KRS168+1 by Leo-III-SAT---1.7.10
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : KRS168+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n015.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 10:38:29 EDT 2024
% Result : Theorem 4.38s 2.31s
% Output : Refutation 4.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 17
% Syntax : Number of formulae : 86 ( 11 unt; 14 typ; 0 def)
% Number of atoms : 276 ( 9 equ; 0 cnn)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 490 ( 129 ~; 142 |; 27 &; 175 @)
% ( 5 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 32 ( 0 ^ 30 !; 2 ?; 32 :)
% 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(cB_type,type,
cB: $i > $o ).
thf(cA_type,type,
cA: $i > $o ).
thf(sk1_type,type,
sk1: $i ).
thf(sk2_type,type,
sk2: $i ).
thf(sk3_type,type,
sk3: $o ).
thf(sk4_type,type,
sk4: $i ).
thf(sk5_type,type,
sk5: $i ).
thf(sk6_type,type,
sk6: $o ).
thf(sk7_type,type,
sk7: $i ).
thf(sk8_type,type,
sk8: $i ).
thf(4,axiom,
! [A: $i] :
( ( xsd_string @ A )
<=> ~ ( xsd_integer @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
thf(22,plain,
! [A: $i] :
( ( ( xsd_string @ A )
=> ~ ( xsd_integer @ A ) )
& ( ~ ( xsd_integer @ A )
=> ( xsd_string @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(23,plain,
( ! [A: $i] :
( ( xsd_string @ A )
=> ~ ( xsd_integer @ A ) )
& ! [A: $i] :
( ~ ( xsd_integer @ A )
=> ( xsd_string @ A ) ) ),
inference(miniscope,[status(thm)],[22]) ).
thf(24,plain,
! [A: $i] :
( ( xsd_integer @ A )
| ( xsd_string @ A ) ),
inference(cnf,[status(esa)],[23]) ).
thf(26,plain,
! [A: $i] :
( ( xsd_integer @ A )
| ( xsd_string @ A ) ),
inference(simp,[status(thm)],[24]) ).
thf(1,conjecture,
( ! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) )
& ! [A: $i] :
( ( xsd_string @ A )
<=> ~ ( xsd_integer @ A ) )
& ! [A: $i] :
( ( ~ ( cB @ A )
& ~ ( cA @ A ) )
<=> ~ ( ( cA @ A )
| ( cB @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
thf(2,negated_conjecture,
~ ( ! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) )
& ! [A: $i] :
( ( xsd_string @ A )
<=> ~ ( xsd_integer @ A ) )
& ! [A: $i] :
( ( ~ ( cB @ A )
& ~ ( cA @ A ) )
<=> ~ ( ( cA @ A )
| ( cB @ A ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(5,plain,
~ ( ! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) )
& ! [A: $i] :
( ( ( xsd_string @ A )
=> ~ ( xsd_integer @ A ) )
& ( ~ ( xsd_integer @ A )
=> ( xsd_string @ A ) ) )
& ! [A: $i] :
( ( ( ~ ( cB @ A )
& ~ ( cA @ A ) )
=> ~ ( ( cA @ A )
| ( cB @ A ) ) )
& ( ~ ( ( cA @ A )
| ( cB @ A ) )
=> ( ~ ( cB @ A )
& ~ ( cA @ A ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(6,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 ) )
& ! [A: $i] :
( ( ~ ( cB @ A )
& ~ ( cA @ A ) )
=> ~ ( ( cA @ A )
| ( cB @ A ) ) )
& ! [A: $i] :
( ~ ( ( cA @ A )
| ( cB @ A ) )
=> ( ~ ( cB @ A )
& ~ ( cA @ A ) ) ) ),
inference(miniscope,[status(thm)],[5]) ).
thf(15,plain,
( ~ ( cowlThing @ sk1 )
| ( cowlNothing @ sk2 )
| ( xsd_integer @ sk4 )
| ~ ( xsd_integer @ sk5 )
| ~ sk3 ),
inference(cnf,[status(esa)],[6]) ).
thf(9,plain,
( ~ ( cowlThing @ sk1 )
| ( cowlNothing @ sk2 )
| ( xsd_string @ sk4 )
| ~ ( xsd_integer @ sk5 )
| ~ sk3 ),
inference(cnf,[status(esa)],[6]) ).
thf(3,axiom,
! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
thf(17,plain,
! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(18,plain,
( ! [A: $i] : ( cowlThing @ A )
& ~ ? [A: $i] : ( cowlNothing @ A ) ),
inference(miniscope,[status(thm)],[17]) ).
thf(20,plain,
! [A: $i] : ( cowlThing @ A ),
inference(cnf,[status(esa)],[18]) ).
thf(19,plain,
! [A: $i] :
~ ( cowlNothing @ A ),
inference(cnf,[status(esa)],[18]) ).
thf(21,plain,
! [A: $i] :
~ ( cowlNothing @ A ),
inference(simp,[status(thm)],[19]) ).
thf(54,plain,
( ~ $true
| $false
| ( xsd_string @ sk4 )
| ~ ( xsd_integer @ sk5 )
| ~ sk3 ),
inference(rewrite,[status(thm)],[9,20,21]) ).
thf(55,plain,
( ( xsd_string @ sk4 )
| ~ ( xsd_integer @ sk5 )
| ~ sk3 ),
inference(simp,[status(thm)],[54]) ).
thf(16,plain,
( ~ ( cowlThing @ sk1 )
| ( cowlNothing @ sk2 )
| sk3
| sk6
| ( cB @ sk8 )
| ( cA @ sk8 ) ),
inference(cnf,[status(esa)],[6]) ).
thf(33,plain,
( ~ $true
| $false
| sk3
| sk6
| ( cB @ sk8 )
| ( cA @ sk8 ) ),
inference(rewrite,[status(thm)],[16,20,21]) ).
thf(34,plain,
( sk3
| sk6
| ( cB @ sk8 )
| ( cA @ sk8 ) ),
inference(simp,[status(thm)],[33]) ).
thf(8,plain,
( ~ ( cowlThing @ sk1 )
| ( cowlNothing @ sk2 )
| sk3
| sk6
| ~ ( cA @ sk8 ) ),
inference(cnf,[status(esa)],[6]) ).
thf(36,plain,
( ~ $true
| $false
| sk3
| sk6
| ~ ( cA @ sk8 ) ),
inference(rewrite,[status(thm)],[8,20,21]) ).
thf(37,plain,
( sk3
| sk6
| ~ ( cA @ sk8 ) ),
inference(simp,[status(thm)],[36]) ).
thf(38,plain,
( sk3
| sk6
| ( cB @ sk8 )
| ( ( cA @ sk8 )
!= ( cA @ sk8 ) ) ),
inference(paramod_ordered,[status(thm)],[34,37]) ).
thf(39,plain,
( sk3
| sk6
| ( cB @ sk8 ) ),
inference(pattern_uni,[status(thm)],[38:[]]) ).
thf(12,plain,
( ~ ( cowlThing @ sk1 )
| ( cowlNothing @ sk2 )
| sk3
| sk6
| ~ ( cB @ sk8 ) ),
inference(cnf,[status(esa)],[6]) ).
thf(48,plain,
( ~ $true
| $false
| sk3
| sk6
| ~ ( cB @ sk8 ) ),
inference(rewrite,[status(thm)],[12,20,21]) ).
thf(49,plain,
( sk3
| sk6
| ~ ( cB @ sk8 ) ),
inference(simp,[status(thm)],[48]) ).
thf(50,plain,
( sk3
| sk6
| ( ( cB @ sk8 )
!= ( cB @ sk8 ) ) ),
inference(paramod_ordered,[status(thm)],[39,49]) ).
thf(51,plain,
( sk3
| sk6 ),
inference(pattern_uni,[status(thm)],[50:[]]) ).
thf(7,plain,
( ~ ( cowlThing @ sk1 )
| ( cowlNothing @ sk2 )
| sk3
| ( cA @ sk7 )
| ( cB @ sk7 )
| ~ sk6 ),
inference(cnf,[status(esa)],[6]) ).
thf(41,plain,
( ~ $true
| $false
| sk3
| ( cA @ sk7 )
| ( cB @ sk7 )
| ~ sk6 ),
inference(rewrite,[status(thm)],[7,20,21]) ).
thf(42,plain,
( sk3
| ( cA @ sk7 )
| ( cB @ sk7 )
| ~ sk6 ),
inference(simp,[status(thm)],[41]) ).
thf(13,plain,
( ~ ( cowlThing @ sk1 )
| ( cowlNothing @ sk2 )
| sk3
| ~ ( cA @ sk7 )
| ~ sk6 ),
inference(cnf,[status(esa)],[6]) ).
thf(31,plain,
( ~ $true
| $false
| sk3
| ~ ( cA @ sk7 )
| ~ sk6 ),
inference(rewrite,[status(thm)],[13,20,21]) ).
thf(32,plain,
( sk3
| ~ ( cA @ sk7 )
| ~ sk6 ),
inference(simp,[status(thm)],[31]) ).
thf(43,plain,
( sk3
| ( cB @ sk7 )
| ~ sk6
| ( ( cA @ sk7 )
!= ( cA @ sk7 ) ) ),
inference(paramod_ordered,[status(thm)],[42,32]) ).
thf(44,plain,
( sk3
| ( cB @ sk7 )
| ~ sk6 ),
inference(pattern_uni,[status(thm)],[43:[]]) ).
thf(10,plain,
( ~ ( cowlThing @ sk1 )
| ( cowlNothing @ sk2 )
| sk3
| ~ ( cB @ sk7 )
| ~ sk6 ),
inference(cnf,[status(esa)],[6]) ).
thf(29,plain,
( ~ $true
| $false
| sk3
| ~ ( cB @ sk7 )
| ~ sk6 ),
inference(rewrite,[status(thm)],[10,20,21]) ).
thf(30,plain,
( sk3
| ~ ( cB @ sk7 )
| ~ sk6 ),
inference(simp,[status(thm)],[29]) ).
thf(46,plain,
( sk3
| ~ sk6
| ( ( cB @ sk7 )
!= ( cB @ sk7 ) ) ),
inference(paramod_ordered,[status(thm)],[44,30]) ).
thf(47,plain,
( sk3
| ~ sk6 ),
inference(pattern_uni,[status(thm)],[46:[]]) ).
thf(52,plain,
( sk3
| ( sk6 != sk6 ) ),
inference(paramod_ordered,[status(thm)],[51,47]) ).
thf(53,plain,
sk3,
inference(pattern_uni,[status(thm)],[52:[]]) ).
thf(62,plain,
( ( xsd_string @ sk4 )
| ~ ( xsd_integer @ sk5 )
| ~ $true ),
inference(rewrite,[status(thm)],[55,53]) ).
thf(63,plain,
( ( xsd_string @ sk4 )
| ~ ( xsd_integer @ sk5 ) ),
inference(simp,[status(thm)],[62]) ).
thf(64,plain,
! [A: $i] :
( ( xsd_string @ A )
| ( xsd_string @ sk4 )
| ( ( xsd_integer @ A )
!= ( xsd_integer @ sk5 ) ) ),
inference(paramod_ordered,[status(thm)],[26,63]) ).
thf(65,plain,
( ( xsd_string @ sk5 )
| ( xsd_string @ sk4 ) ),
inference(pattern_uni,[status(thm)],[64:[bind(A,$thf( sk5 ))]]) ).
thf(11,plain,
( ~ ( cowlThing @ sk1 )
| ( cowlNothing @ sk2 )
| ( xsd_string @ sk4 )
| ~ ( xsd_string @ sk5 )
| ~ sk3 ),
inference(cnf,[status(esa)],[6]) ).
thf(58,plain,
( ~ $true
| $false
| ( xsd_string @ sk4 )
| ~ ( xsd_string @ sk5 )
| ~ sk3 ),
inference(rewrite,[status(thm)],[11,20,21]) ).
thf(59,plain,
( ( xsd_string @ sk4 )
| ~ ( xsd_string @ sk5 )
| ~ sk3 ),
inference(simp,[status(thm)],[58]) ).
thf(60,plain,
( ( xsd_string @ sk4 )
| ~ ( xsd_string @ sk5 )
| ~ $true ),
inference(rewrite,[status(thm)],[59,53]) ).
thf(61,plain,
( ( xsd_string @ sk4 )
| ~ ( xsd_string @ sk5 ) ),
inference(simp,[status(thm)],[60]) ).
thf(74,plain,
( ( xsd_string @ sk4 )
| ( ( xsd_string @ sk5 )
!= ( xsd_string @ sk5 ) ) ),
inference(paramod_ordered,[status(thm)],[65,61]) ).
thf(75,plain,
xsd_string @ sk4,
inference(pattern_uni,[status(thm)],[74:[]]) ).
thf(25,plain,
! [A: $i] :
( ~ ( xsd_string @ A )
| ~ ( xsd_integer @ A ) ),
inference(cnf,[status(esa)],[23]) ).
thf(81,plain,
! [A: $i] :
( ~ ( xsd_integer @ A )
| ( ( xsd_string @ sk4 )
!= ( xsd_string @ A ) ) ),
inference(paramod_ordered,[status(thm)],[75,25]) ).
thf(82,plain,
~ ( xsd_integer @ sk4 ),
inference(pattern_uni,[status(thm)],[81:[bind(A,$thf( sk4 ))]]) ).
thf(98,plain,
( ~ $true
| $false
| $false
| ~ ( xsd_integer @ sk5 )
| ~ $true ),
inference(rewrite,[status(thm)],[15,82,20,21,53]) ).
thf(99,plain,
~ ( xsd_integer @ sk5 ),
inference(simp,[status(thm)],[98]) ).
thf(100,plain,
! [A: $i] :
( ( xsd_string @ A )
| ( ( xsd_integer @ A )
!= ( xsd_integer @ sk5 ) ) ),
inference(paramod_ordered,[status(thm)],[26,99]) ).
thf(101,plain,
xsd_string @ sk5,
inference(pattern_uni,[status(thm)],[100:[bind(A,$thf( sk5 ))]]) ).
thf(14,plain,
( ~ ( cowlThing @ sk1 )
| ( cowlNothing @ sk2 )
| ( xsd_integer @ sk4 )
| ~ ( xsd_string @ sk5 )
| ~ sk3 ),
inference(cnf,[status(esa)],[6]) ).
thf(66,plain,
( ~ $true
| $false
| ( xsd_integer @ sk4 )
| ~ ( xsd_string @ sk5 )
| ~ $true ),
inference(rewrite,[status(thm)],[14,20,21,53]) ).
thf(67,plain,
( ( xsd_integer @ sk4 )
| ~ ( xsd_string @ sk5 ) ),
inference(simp,[status(thm)],[66]) ).
thf(85,plain,
( $false
| ~ ( xsd_string @ sk5 ) ),
inference(rewrite,[status(thm)],[67,82]) ).
thf(86,plain,
~ ( xsd_string @ sk5 ),
inference(simp,[status(thm)],[85]) ).
thf(102,plain,
$false,
inference(rewrite,[status(thm)],[101,86]) ).
thf(103,plain,
$false,
inference(simp,[status(thm)],[102]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : KRS168+1 : TPTP v8.1.2. Released v3.1.0.
% 0.05/0.13 % Command : run_Leo-III %s %d
% 0.13/0.33 % Computer : n015.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon May 6 22:57:23 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.89/0.94 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.24/1.11 % [INFO] Parsing done (170ms).
% 1.24/1.12 % [INFO] Running in sequential loop mode.
% 1.85/1.44 % [INFO] nitpick registered as external prover.
% 1.85/1.45 % [INFO] Scanning for conjecture ...
% 1.94/1.51 % [INFO] Found a conjecture and 2 axioms. Running axiom selection ...
% 2.06/1.54 % [INFO] Axiom selection finished. Selected 2 axioms (removed 0 axioms).
% 2.06/1.54 % [INFO] Problem is first-order (TPTP FOF).
% 2.06/1.55 % [INFO] Type checking passed.
% 2.06/1.55 % [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 ...
% 4.38/2.30 % [INFO] Killing All external provers ...
% 4.38/2.31 % Time passed: 1824ms (effective reasoning time: 1179ms)
% 4.38/2.31 % 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)>
% 4.38/2.31 % Axioms used in derivation (2): axiom_1, axiom_0
% 4.38/2.31 % No. of inferences in proof: 72
% 4.38/2.31 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1824 ms resp. 1179 ms w/o parsing
% 4.39/2.39 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.39/2.39 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------