TSTP Solution File: KRS125+1 by Leo-III---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : KRS125+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n005.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 07:51:56 EDT 2024
% Result : Unsatisfiable 2.87s 1.69s
% Output : Refutation 3.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 29
% Syntax : Number of formulae : 43 ( 3 unt; 16 typ; 0 def)
% Number of atoms : 66 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 127 ( 11 ~; 0 |; 11 &; 77 @)
% ( 6 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 17 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 16 usr; 2 con; 0-2 aty)
% Number of variables : 36 ( 0 ^ 24 !; 12 ?; 36 :)
% 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(ce3_type,type,
ce3: $i > $o ).
thf(cf_type,type,
cf: $i > $o ).
thf(cc_type,type,
cc: $i > $o ).
thf(cdxcomp_type,type,
cdxcomp: $i > $o ).
thf(cc1_type,type,
cc1: $i > $o ).
thf(cd1xcomp_type,type,
cd1xcomp: $i > $o ).
thf(cd1_type,type,
cd1: $i > $o ).
thf(cd_type,type,
cd: $i > $o ).
thf(ra_Px1_type,type,
ra_Px1: $i > $i > $o ).
thf(ra_Px2_type,type,
ra_Px2: $i > $i > $o ).
thf(i2003_11_14_17_22_17947_type,type,
i2003_11_14_17_22_17947: $i ).
thf(11,axiom,
! [A: $i] :
( ( ce3 @ A )
=> ( cc @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
thf(56,plain,
! [A: $i] :
( ( ce3 @ A )
=> ( cc @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(3,axiom,
! [A: $i] :
( ( cUnsatisfiable @ A )
<=> ( ( ce3 @ A )
& ( cf @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
thf(24,plain,
! [A: $i] :
( ( ( cUnsatisfiable @ A )
=> ( ( ce3 @ A )
& ( cf @ A ) ) )
& ( ( ( ce3 @ A )
& ( cf @ A ) )
=> ( cUnsatisfiable @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(1,axiom,
! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
thf(14,plain,
! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(9,axiom,
! [A: $i] :
( ( cd1 @ A )
<=> ? [B: $i] : ( ra_Px2 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
thf(46,plain,
! [A: $i] :
( ( ( cd1 @ A )
=> ? [B: $i] : ( ra_Px2 @ A @ B ) )
& ( ? [B: $i] : ( ra_Px2 @ A @ B )
=> ( cd1 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(13,axiom,
cUnsatisfiable @ i2003_11_14_17_22_17947,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
thf(60,plain,
cUnsatisfiable @ i2003_11_14_17_22_17947,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(8,axiom,
! [A: $i] :
( ( cdxcomp @ A )
<=> ? [B: $i] : ( ra_Px1 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
thf(41,plain,
! [A: $i] :
( ( ( cdxcomp @ A )
=> ? [B: $i] : ( ra_Px1 @ A @ B ) )
& ( ? [B: $i] : ( ra_Px1 @ A @ B )
=> ( cdxcomp @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(12,axiom,
! [A: $i] :
( ( cf @ A )
=> ( cd @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
thf(58,plain,
! [A: $i] :
( ( cf @ A )
=> ( cd @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(5,axiom,
! [A: $i] :
( ( cc1 @ A )
=> ( cd1xcomp @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
thf(32,plain,
! [A: $i] :
( ( cc1 @ A )
=> ( cd1xcomp @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(6,axiom,
! [A: $i] :
( ( cc1 @ A )
=> ( cd1 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
thf(34,plain,
! [A: $i] :
( ( cc1 @ A )
=> ( cd1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(7,axiom,
! [A: $i] :
( ( cd @ A )
<=> ~ ? [B: $i] : ( ra_Px1 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
thf(36,plain,
! [A: $i] :
( ( ( cd @ A )
=> ~ ? [B: $i] : ( ra_Px1 @ A @ B ) )
& ( ~ ? [B: $i] : ( ra_Px1 @ A @ B )
=> ( cd @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(4,axiom,
! [A: $i] :
( ( cc @ A )
=> ( cdxcomp @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
thf(30,plain,
! [A: $i] :
( ( cc @ A )
=> ( cdxcomp @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(10,axiom,
! [A: $i] :
( ( cd1xcomp @ A )
<=> ~ ? [B: $i] : ( ra_Px2 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
thf(51,plain,
! [A: $i] :
( ( ( cd1xcomp @ A )
=> ~ ? [B: $i] : ( ra_Px2 @ A @ B ) )
& ( ~ ? [B: $i] : ( ra_Px2 @ A @ B )
=> ( cd1xcomp @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(2,axiom,
! [A: $i] :
( ( xsd_string @ A )
<=> ~ ( xsd_integer @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
thf(19,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(61,plain,
$false,
inference(e,[status(thm)],[56,24,14,46,60,41,58,32,34,36,30,51,19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS125+1 : TPTP v8.1.2. Released v3.1.0.
% 0.14/0.16 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n005.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 15:19:39 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.97/0.87 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.23/0.98 % [INFO] Parsing done (112ms).
% 1.23/0.99 % [INFO] Running in sequential loop mode.
% 1.77/1.22 % [INFO] eprover registered as external prover.
% 1.77/1.22 % [INFO] cvc4 registered as external prover.
% 1.77/1.22 % [INFO] Scanning for conjecture ...
% 1.85/1.25 % [INFO] 13 axioms and no conjecture found.
% 1.85/1.29 % [INFO] Problem is first-order (TPTP FOF).
% 1.85/1.29 % [INFO] Type checking passed.
% 1.85/1.29 % [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 ...
% 2.87/1.69 % External prover 'e' found a proof!
% 2.87/1.69 % [INFO] Killing All external provers ...
% 2.87/1.69 % Time passed: 1160ms (effective reasoning time: 699ms)
% 2.87/1.69 % Axioms used in derivation (13): axiom_7, axiom_10, axiom_2, axiom_6, axiom_3, axiom_1, axiom_8, axiom_5, axiom_0, axiom_11, axiom_12, axiom_9, axiom_4
% 2.87/1.69 % No. of inferences in proof: 27
% 2.87/1.69 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1160 ms resp. 699 ms w/o parsing
% 3.42/1.78 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.42/1.78 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------