TSTP Solution File: KRS163+1 by Leo-III-SAT---1.7.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : KRS163+1 : TPTP v8.2.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n027.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 : Mon May 20 23:19:25 EDT 2024
% Result : Theorem 4.27s 2.12s
% Output : Refutation 4.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 18
% Syntax : Number of formulae : 70 ( 16 unt; 12 typ; 0 def)
% Number of atoms : 206 ( 29 equ; 0 cnn)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 393 ( 100 ~; 95 |; 30 &; 157 @)
% ( 3 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 32 ( 0 ^ 29 !; 3 ?; 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(ia_type,type,
ia: $i ).
thf(ib_type,type,
ib: $i ).
thf(cA_type,type,
cA: $i > $o ).
thf(cB_type,type,
cB: $i > $o ).
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(1,conjecture,
( ! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) )
& ! [A: $i] :
( ( xsd_string @ A )
<=> ~ ( xsd_integer @ A ) )
& ( cowlThing @ ia )
& ( cowlThing @ ib )
& ( ia != ib ) ),
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 ) )
& ( cowlThing @ ia )
& ( cowlThing @ ib )
& ( ia != ib ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(16,plain,
~ ( ! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) )
& ! [A: $i] :
( ( ( xsd_string @ A )
=> ~ ( xsd_integer @ A ) )
& ( ~ ( xsd_integer @ A )
=> ( xsd_string @ A ) ) )
& ( cowlThing @ ia )
& ( cowlThing @ ib )
& ( ia != ib ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(17,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 ) )
& ( cowlThing @ ia )
& ( cowlThing @ ib )
& ( ia != ib ) ),
inference(miniscope,[status(thm)],[16]) ).
thf(21,plain,
( ~ ( cowlThing @ sk1 )
| ( cowlNothing @ sk2 )
| ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cowlThing @ ia )
| ~ ( cowlThing @ ib )
| ( ia = ib ) ),
inference(cnf,[status(esa)],[17]) ).
thf(25,plain,
( ( ib = ia )
| ~ ( cowlThing @ sk1 )
| ( cowlNothing @ sk2 )
| ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cowlThing @ ia )
| ~ ( cowlThing @ ib ) ),
inference(lifteq,[status(thm)],[21]) ).
thf(9,axiom,
! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
thf(50,plain,
! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(51,plain,
( ! [A: $i] : ( cowlThing @ A )
& ~ ? [A: $i] : ( cowlNothing @ A ) ),
inference(miniscope,[status(thm)],[50]) ).
thf(53,plain,
! [A: $i] : ( cowlThing @ A ),
inference(cnf,[status(esa)],[51]) ).
thf(52,plain,
! [A: $i] :
~ ( cowlNothing @ A ),
inference(cnf,[status(esa)],[51]) ).
thf(54,plain,
! [A: $i] :
~ ( cowlNothing @ A ),
inference(simp,[status(thm)],[52]) ).
thf(10,axiom,
! [A: $i] :
( ( xsd_string @ A )
<=> ~ ( xsd_integer @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
thf(55,plain,
! [A: $i] :
( ( ( xsd_string @ A )
=> ~ ( xsd_integer @ A ) )
& ( ~ ( xsd_integer @ A )
=> ( xsd_string @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(56,plain,
( ! [A: $i] :
( ( xsd_string @ A )
=> ~ ( xsd_integer @ A ) )
& ! [A: $i] :
( ~ ( xsd_integer @ A )
=> ( xsd_string @ A ) ) ),
inference(miniscope,[status(thm)],[55]) ).
thf(57,plain,
! [A: $i] :
( ( xsd_integer @ A )
| ( xsd_string @ A ) ),
inference(cnf,[status(esa)],[56]) ).
thf(59,plain,
! [A: $i] :
( ( xsd_integer @ A )
| ( xsd_string @ A ) ),
inference(simp,[status(thm)],[57]) ).
thf(18,plain,
( ~ ( cowlThing @ sk1 )
| ( cowlNothing @ sk2 )
| ( xsd_string @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cowlThing @ ia )
| ~ ( cowlThing @ ib )
| ( ia = ib ) ),
inference(cnf,[status(esa)],[17]) ).
thf(22,plain,
( ( ib = ia )
| ~ ( cowlThing @ sk1 )
| ( cowlNothing @ sk2 )
| ( xsd_string @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cowlThing @ ia )
| ~ ( cowlThing @ ib ) ),
inference(lifteq,[status(thm)],[18]) ).
thf(69,plain,
( ( ib = ia )
| ~ $true
| $false
| ( xsd_string @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[22,53,54]) ).
thf(70,plain,
( ( ib = ia )
| ( xsd_string @ sk3 )
| ~ ( xsd_integer @ sk4 ) ),
inference(simp,[status(thm)],[69]) ).
thf(81,plain,
! [A: $i] :
( ( xsd_string @ A )
| ( ib = ia )
| ( xsd_string @ sk3 )
| ( ( xsd_integer @ A )
!= ( xsd_integer @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[59,70]) ).
thf(82,plain,
( ( xsd_string @ sk4 )
| ( ib = ia )
| ( xsd_string @ sk3 ) ),
inference(pattern_uni,[status(thm)],[81:[bind(A,$thf( sk4 ))]]) ).
thf(13,axiom,
cB @ ib,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
thf(62,plain,
cB @ ib,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(11,axiom,
cA @ ia,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
thf(60,plain,
cA @ ia,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(15,axiom,
! [A: $i] :
~ ( ( cB @ A )
& ( cA @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
thf(64,plain,
! [A: $i] :
~ ( ( cB @ A )
& ( cA @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(65,plain,
~ ? [A: $i] :
( ( cB @ A )
& ( cA @ A ) ),
inference(miniscope,[status(thm)],[64]) ).
thf(66,plain,
! [A: $i] :
( ~ ( cB @ A )
| ~ ( cA @ A ) ),
inference(cnf,[status(esa)],[65]) ).
thf(87,plain,
! [A: $i] :
( ~ ( cB @ A )
| ( ( cA @ ia )
!= ( cA @ A ) ) ),
inference(paramod_ordered,[status(thm)],[60,66]) ).
thf(88,plain,
~ ( cB @ ia ),
inference(pattern_uni,[status(thm)],[87:[bind(A,$thf( ia ))]]) ).
thf(95,plain,
( ( cB @ ib )
!= ( cB @ ia ) ),
inference(paramod_ordered,[status(thm)],[62,88]) ).
thf(96,plain,
ib != ia,
inference(simp,[status(thm)],[95]) ).
thf(105,plain,
( ( xsd_string @ sk4 )
| ( xsd_string @ sk3 ) ),
inference(simplifyReflect,[status(thm)],[82,96]) ).
thf(19,plain,
( ~ ( cowlThing @ sk1 )
| ( cowlNothing @ sk2 )
| ( xsd_string @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cowlThing @ ia )
| ~ ( cowlThing @ ib )
| ( ia = ib ) ),
inference(cnf,[status(esa)],[17]) ).
thf(23,plain,
( ( ib = ia )
| ~ ( cowlThing @ sk1 )
| ( cowlNothing @ sk2 )
| ( xsd_string @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cowlThing @ ia )
| ~ ( cowlThing @ ib ) ),
inference(lifteq,[status(thm)],[19]) ).
thf(73,plain,
( ( ib = ia )
| ~ $true
| $false
| ( xsd_string @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[23,53,54]) ).
thf(74,plain,
( ( ib = ia )
| ( xsd_string @ sk3 )
| ~ ( xsd_string @ sk4 ) ),
inference(simp,[status(thm)],[73]) ).
thf(103,plain,
( ( xsd_string @ sk3 )
| ~ ( xsd_string @ sk4 ) ),
inference(simplifyReflect,[status(thm)],[74,96]) ).
thf(113,plain,
( ( xsd_string @ sk3 )
| ( ( xsd_string @ sk4 )
!= ( xsd_string @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[105,103]) ).
thf(114,plain,
xsd_string @ sk3,
inference(pattern_uni,[status(thm)],[113:[]]) ).
thf(58,plain,
! [A: $i] :
( ~ ( xsd_string @ A )
| ~ ( xsd_integer @ A ) ),
inference(cnf,[status(esa)],[56]) ).
thf(120,plain,
! [A: $i] :
( ~ ( xsd_integer @ A )
| ( ( xsd_string @ sk3 )
!= ( xsd_string @ A ) ) ),
inference(paramod_ordered,[status(thm)],[114,58]) ).
thf(121,plain,
~ ( xsd_integer @ sk3 ),
inference(pattern_uni,[status(thm)],[120:[bind(A,$thf( sk3 ))]]) ).
thf(20,plain,
( ~ ( cowlThing @ sk1 )
| ( cowlNothing @ sk2 )
| ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cowlThing @ ia )
| ~ ( cowlThing @ ib )
| ( ia = ib ) ),
inference(cnf,[status(esa)],[17]) ).
thf(24,plain,
( ( ib = ia )
| ~ ( cowlThing @ sk1 )
| ( cowlNothing @ sk2 )
| ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cowlThing @ ia )
| ~ ( cowlThing @ ib ) ),
inference(lifteq,[status(thm)],[20]) ).
thf(115,plain,
( ( ib = ia )
| ~ $true
| $false
| ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[24,53,54]) ).
thf(116,plain,
( ( ib = ia )
| ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 ) ),
inference(simp,[status(thm)],[115]) ).
thf(117,plain,
( ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 ) ),
inference(simplifyReflect,[status(thm)],[116,96]) ).
thf(122,plain,
( $false
| ~ ( xsd_integer @ sk4 ) ),
inference(rewrite,[status(thm)],[117,121]) ).
thf(123,plain,
~ ( xsd_integer @ sk4 ),
inference(simp,[status(thm)],[122]) ).
thf(126,plain,
! [A: $i] :
( ( xsd_string @ A )
| ( ( xsd_integer @ A )
!= ( xsd_integer @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[59,123]) ).
thf(127,plain,
xsd_string @ sk4,
inference(pattern_uni,[status(thm)],[126:[bind(A,$thf( sk4 ))]]) ).
thf(138,plain,
( ( ib = ia )
| ~ $true
| $false
| $false
| ~ $true
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[25,53,54,121,127]) ).
thf(139,plain,
ib = ia,
inference(simp,[status(thm)],[138]) ).
thf(140,plain,
$false,
inference(simplifyReflect,[status(thm)],[139,96]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : KRS163+1 : TPTP v8.2.0. Released v3.1.0.
% 0.10/0.14 % Command : run_Leo-III %s %d
% 0.14/0.34 % Computer : n027.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 : 300
% 0.14/0.34 % DateTime : Sat May 18 22:25:09 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.84/0.85 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.12/0.97 % [INFO] Parsing done (118ms).
% 1.12/0.97 % [INFO] Running in sequential loop mode.
% 1.57/1.22 % [INFO] nitpick registered as external prover.
% 1.57/1.22 % [INFO] Scanning for conjecture ...
% 1.79/1.29 % [INFO] Found a conjecture (or negated_conjecture) and 13 axioms. Running axiom selection ...
% 1.79/1.31 % [INFO] Axiom selection finished. Selected 13 axioms (removed 0 axioms).
% 1.92/1.33 % [INFO] Problem is first-order (TPTP FOF).
% 1.92/1.33 % [INFO] Type checking passed.
% 1.92/1.34 % [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 ...
% 4.27/2.11 % [INFO] Killing All external provers ...
% 4.27/2.11 % Time passed: 1634ms (effective reasoning time: 1131ms)
% 4.27/2.11 % 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)>
% 4.27/2.12 % Axioms used in derivation (5): axiom_2, axiom_6, axiom_1, axiom_0, axiom_4
% 4.27/2.12 % No. of inferences in proof: 58
% 4.27/2.12 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1634 ms resp. 1131 ms w/o parsing
% 4.27/2.18 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.27/2.18 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------