TSTP Solution File: KRS091+1 by Leo-III---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : KRS091+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 07:51:51 EDT 2024
% Result : Unsatisfiable 2.91s 1.70s
% Output : Refutation 3.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 21
% Syntax : Number of formulae : 31 ( 3 unt; 12 typ; 0 def)
% Number of atoms : 42 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 73 ( 9 ~; 0 |; 7 &; 41 @)
% ( 2 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 12 usr; 2 con; 0-1 aty)
% Number of variables : 16 ( 0 ^ 16 !; 0 ?; 16 :)
% 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(cUnsatisfiable_type,type,
cUnsatisfiable: $i > $o ).
thf(cd_type,type,
cd: $i > $o ).
thf(cc_type,type,
cc: $i > $o ).
thf(cc1_type,type,
cc1: $i > $o ).
thf(cd1_type,type,
cd1: $i > $o ).
thf(ce3_type,type,
ce3: $i > $o ).
thf(cf_type,type,
cf: $i > $o ).
thf(i2003_11_14_17_20_00819_type,type,
i2003_11_14_17_20_00819: $i ).
thf(1,axiom,
! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
thf(10,plain,
! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(3,axiom,
! [A: $i] :
( ( cUnsatisfiable @ A )
<=> ( ( cd @ A )
& ( cc @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
thf(20,plain,
! [A: $i] :
( ( ( cUnsatisfiable @ A )
=> ( ( cd @ A )
& ( cc @ A ) ) )
& ( ( ( cd @ A )
& ( cc @ A ) )
=> ( cUnsatisfiable @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(5,axiom,
! [A: $i] :
( ( cc1 @ A )
=> ~ ( cd1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
thf(28,plain,
! [A: $i] :
( ( cc1 @ A )
=> ~ ( cd1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(4,axiom,
! [A: $i] :
( ( cc @ A )
=> ~ ( cd @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
thf(26,plain,
! [A: $i] :
( ( cc @ A )
=> ~ ( cd @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(2,axiom,
! [A: $i] :
( ( xsd_string @ A )
<=> ~ ( xsd_integer @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
thf(15,plain,
! [A: $i] :
( ( ( xsd_string @ A )
=> ~ ( xsd_integer @ A ) )
& ( ~ ( xsd_integer @ A )
=> ( xsd_string @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(7,axiom,
! [A: $i] :
( ( ce3 @ A )
=> ( cc @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
thf(32,plain,
! [A: $i] :
( ( ce3 @ A )
=> ( cc @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(8,axiom,
! [A: $i] :
( ( cf @ A )
=> ( cd @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
thf(34,plain,
! [A: $i] :
( ( cf @ A )
=> ( cd @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(9,axiom,
cUnsatisfiable @ i2003_11_14_17_20_00819,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
thf(36,plain,
cUnsatisfiable @ i2003_11_14_17_20_00819,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(6,axiom,
! [A: $i] :
( ( cc1 @ A )
=> ( cd1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
thf(30,plain,
! [A: $i] :
( ( cc1 @ A )
=> ( cd1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(37,plain,
$false,
inference(e,[status(thm)],[10,20,28,26,15,32,34,36,30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : KRS091+1 : TPTP v8.1.2. Released v3.1.0.
% 0.16/0.16 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n015.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 15:19:24 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.95/0.92 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.38/1.05 % [INFO] Parsing done (120ms).
% 1.38/1.05 % [INFO] Running in sequential loop mode.
% 1.79/1.27 % [INFO] eprover registered as external prover.
% 1.79/1.27 % [INFO] cvc4 registered as external prover.
% 1.79/1.28 % [INFO] Scanning for conjecture ...
% 1.79/1.30 % [INFO] 9 axioms and no conjecture found.
% 1.97/1.33 % [INFO] Problem is first-order (TPTP FOF).
% 1.97/1.34 % [INFO] Type checking passed.
% 1.97/1.34 % [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 ...
% 2.91/1.70 % External prover 'e' found a proof!
% 2.91/1.70 % [INFO] Killing All external provers ...
% 2.91/1.70 % Time passed: 1138ms (effective reasoning time: 639ms)
% 2.91/1.70 % Axioms used in derivation (9): axiom_7, axiom_2, axiom_6, axiom_3, axiom_1, axiom_8, axiom_5, axiom_0, axiom_4
% 2.91/1.70 % No. of inferences in proof: 19
% 2.91/1.70 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1138 ms resp. 639 ms w/o parsing
% 3.06/1.77 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.06/1.77 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------