TSTP Solution File: KRS175+1 by Leo-III---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : KRS175+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n017.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 07:52:04 EDT 2024
% Result : Theorem 3.13s 1.75s
% Output : Refutation 3.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 24
% Syntax : Number of formulae : 41 ( 5 unt; 9 typ; 0 def)
% Number of atoms : 110 ( 28 equ; 0 cnn)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 173 ( 14 ~; 7 |; 37 &; 81 @)
% ( 8 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 47 ( 0 ^ 47 !; 0 ?; 47 :)
% 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(cA_and_B_type,type,
cA_and_B: $i > $o ).
thf(ib_type,type,
ib: $i ).
thf(ia_type,type,
ia: $i ).
thf(cA_type,type,
cA: $i > $o ).
thf(cB_type,type,
cB: $i > $o ).
thf(12,axiom,
! [A: $i] :
( ( cA @ A )
<=> ( A = ia ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
thf(69,plain,
! [A: $i] :
( ( ( cA @ A )
=> ( A = ia ) )
& ( ( A = ia )
=> ( cA @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(10,axiom,
! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
thf(59,plain,
! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(16,axiom,
cowlThing @ ib,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
thf(91,plain,
cowlThing @ ib,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cA_and_B @ A ) )
=> ( cA_and_B @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cA_and_B_substitution_1) ).
thf(35,plain,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cA_and_B @ A ) )
=> ( cA_and_B @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cA @ A ) )
=> ( cA @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cA_substitution_1) ).
thf(31,plain,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cA @ A ) )
=> ( cA @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(6,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlNothing @ A ) )
=> ( cowlNothing @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cowlNothing_substitution_1) ).
thf(43,plain,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlNothing @ A ) )
=> ( cowlNothing @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(9,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( xsd_string @ A ) )
=> ( xsd_string @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xsd_string_substitution_1) ).
thf(55,plain,
! [A: $i,B: $i] :
( ( ( A = B )
& ( xsd_string @ A ) )
=> ( xsd_string @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(8,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( xsd_integer @ A ) )
=> ( xsd_integer @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xsd_integer_substitution_1) ).
thf(51,plain,
! [A: $i,B: $i] :
( ( ( A = B )
& ( xsd_integer @ A ) )
=> ( xsd_integer @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(7,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlThing @ A ) )
=> ( cowlThing @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cowlThing_substitution_1) ).
thf(47,plain,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlThing @ A ) )
=> ( cowlThing @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(11,axiom,
! [A: $i] :
( ( xsd_string @ A )
<=> ~ ( xsd_integer @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
thf(64,plain,
! [A: $i] :
( ( ( xsd_string @ A )
=> ~ ( xsd_integer @ A ) )
& ( ~ ( xsd_integer @ A )
=> ( xsd_string @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(1,conjecture,
( ! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) )
& ! [A: $i] :
( ( xsd_string @ A )
<=> ~ ( xsd_integer @ A ) )
& ! [A: $i] :
( ( cA_and_B @ A )
<=> ( ( A = ib )
| ( A = ia ) ) )
& ( cowlThing @ ia )
& ( cowlThing @ 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 ) )
& ! [A: $i] :
( ( cA_and_B @ A )
<=> ( ( A = ib )
| ( A = ia ) ) )
& ( cowlThing @ ia )
& ( cowlThing @ ib ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(17,plain,
~ ( ! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) )
& ! [A: $i] :
( ( ( xsd_string @ A )
=> ~ ( xsd_integer @ A ) )
& ( ~ ( xsd_integer @ A )
=> ( xsd_string @ A ) ) )
& ! [A: $i] :
( ( ( cA_and_B @ A )
=> ( ( A = ib )
| ( A = ia ) ) )
& ( ( ( A = ib )
| ( A = ia ) )
=> ( cA_and_B @ A ) ) )
& ( cowlThing @ ia )
& ( cowlThing @ ib ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(13,axiom,
! [A: $i] :
( ( cA_and_B @ A )
<=> ( ( cA @ A )
| ( cB @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
thf(76,plain,
! [A: $i] :
( ( ( cA_and_B @ A )
=> ( ( cA @ A )
| ( cB @ A ) ) )
& ( ( ( cA @ A )
| ( cB @ A ) )
=> ( cA_and_B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cB @ A ) )
=> ( cB @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cB_substitution_1) ).
thf(39,plain,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cB @ A ) )
=> ( cB @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(15,axiom,
cowlThing @ ia,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
thf(90,plain,
cowlThing @ ia,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(14,axiom,
! [A: $i] :
( ( cB @ A )
<=> ( A = ib ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
thf(83,plain,
! [A: $i] :
( ( ( cB @ A )
=> ( A = ib ) )
& ( ( A = ib )
=> ( cB @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(92,plain,
$false,
inference(e,[status(thm)],[69,59,91,35,31,43,55,51,47,64,17,76,39,90,83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KRS175+1 : TPTP v8.1.2. Released v3.1.0.
% 0.06/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n017.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon May 6 15:17:24 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.92/0.85 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.18/0.98 % [INFO] Parsing done (123ms).
% 1.32/0.98 % [INFO] Running in sequential loop mode.
% 1.67/1.19 % [INFO] eprover registered as external prover.
% 1.67/1.19 % [INFO] cvc4 registered as external prover.
% 1.67/1.19 % [INFO] Scanning for conjecture ...
% 1.84/1.25 % [INFO] Found a conjecture and 14 axioms. Running axiom selection ...
% 1.90/1.27 % [INFO] Axiom selection finished. Selected 14 axioms (removed 0 axioms).
% 1.90/1.29 % [INFO] Problem is first-order (TPTP FOF).
% 1.90/1.29 % [INFO] Type checking passed.
% 1.90/1.30 % [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 ...
% 3.13/1.75 % External prover 'e' found a proof!
% 3.13/1.75 % [INFO] Killing All external provers ...
% 3.13/1.75 % Time passed: 1229ms (effective reasoning time: 762ms)
% 3.13/1.75 % 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)>
% 3.13/1.75 % Axioms used in derivation (14): cA_substitution_1, xsd_string_substitution_1, axiom_6, cowlThing_substitution_1, axiom_3, axiom_5, axiom_0, axiom_4, cowlNothing_substitution_1, cB_substitution_1, cA_and_B_substitution_1, axiom_2, axiom_1, xsd_integer_substitution_1
% 3.13/1.75 % No. of inferences in proof: 32
% 3.13/1.75 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1229 ms resp. 762 ms w/o parsing
% 3.52/1.79 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.52/1.79 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------