TSTP Solution File: KRS128+1 by Leo-III---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : KRS128+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n021.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 07:51:57 EDT 2024
% Result : Unsatisfiable 2.97s 1.66s
% Output : Refutation 3.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 29
% Syntax : Number of formulae : 42 ( 3 unt; 17 typ; 0 def)
% Number of atoms : 83 ( 0 equ; 0 cnn)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 181 ( 14 ~; 0 |; 23 &; 109 @)
% ( 9 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 20 ( 20 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 17 usr; 2 con; 0-2 aty)
% Number of variables : 49 ( 0 ^ 28 !; 21 ?; 49 :)
% 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(rr_type,type,
rr: $i > $i > $o ).
thf(cexcomp_type,type,
cexcomp: $i > $o ).
thf(cd_type,type,
cd: $i > $o ).
thf(ca_Cx4_type,type,
ca_Cx4: $i > $o ).
thf(cc_type,type,
cc: $i > $o ).
thf(cdxcomp_type,type,
cdxcomp: $i > $o ).
thf(ra_Px2_type,type,
ra_Px2: $i > $i > $o ).
thf(ce_type,type,
ce: $i > $o ).
thf(ra_Px1_type,type,
ra_Px1: $i > $i > $o ).
thf(ra_Px4_type,type,
ra_Px4: $i > $i > $o ).
thf(ca_Cx4xcomp_type,type,
ca_Cx4xcomp: $i > $o ).
thf(i2003_11_14_17_22_31584_type,type,
i2003_11_14_17_22_31584: $i ).
thf(9,axiom,
! [A: $i] :
( ( ca_Cx4 @ A )
<=> ? [B: $i] : ( ra_Px4 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
thf(60,plain,
! [A: $i] :
( ( ( ca_Cx4 @ A )
=> ? [B: $i] : ( ra_Px4 @ A @ B ) )
& ( ? [B: $i] : ( ra_Px4 @ A @ B )
=> ( ca_Cx4 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(10,axiom,
! [A: $i] :
( ( ca_Cx4xcomp @ A )
<=> ~ ? [B: $i] : ( ra_Px4 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
thf(65,plain,
! [A: $i] :
( ( ( ca_Cx4xcomp @ A )
=> ~ ? [B: $i] : ( ra_Px4 @ A @ B ) )
& ( ~ ? [B: $i] : ( ra_Px4 @ A @ B )
=> ( ca_Cx4xcomp @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(1,axiom,
! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
thf(13,plain,
! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(6,axiom,
! [A: $i] :
( ( cdxcomp @ A )
<=> ~ ? [B: $i] : ( ra_Px2 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
thf(45,plain,
! [A: $i] :
( ( ( cdxcomp @ A )
=> ~ ? [B: $i] : ( ra_Px2 @ A @ B ) )
& ( ~ ? [B: $i] : ( ra_Px2 @ A @ B )
=> ( cdxcomp @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(12,axiom,
cUnsatisfiable @ i2003_11_14_17_22_31584,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
thf(76,plain,
cUnsatisfiable @ i2003_11_14_17_22_31584,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(2,axiom,
! [A: $i] :
( ( xsd_string @ A )
<=> ~ ( xsd_integer @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
thf(18,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] :
( ( ce @ A )
<=> ~ ? [B: $i] : ( ra_Px1 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
thf(50,plain,
! [A: $i] :
( ( ( ce @ A )
=> ~ ? [B: $i] : ( ra_Px1 @ A @ B ) )
& ( ~ ? [B: $i] : ( ra_Px1 @ A @ B )
=> ( ce @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(4,axiom,
! [A: $i] :
( ( cc @ A )
=> ( cdxcomp @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
thf(38,plain,
! [A: $i] :
( ( cc @ A )
=> ( cdxcomp @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(11,axiom,
! [A: $i] :
( ( ca_Cx4xcomp @ A )
<=> ( ( cd @ A )
& ( cexcomp @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
thf(70,plain,
! [A: $i] :
( ( ( ca_Cx4xcomp @ A )
=> ( ( cd @ A )
& ( cexcomp @ A ) ) )
& ( ( ( cd @ A )
& ( cexcomp @ A ) )
=> ( ca_Cx4xcomp @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(5,axiom,
! [A: $i] :
( ( cd @ A )
<=> ? [B: $i] : ( ra_Px2 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
thf(40,plain,
! [A: $i] :
( ( ( cd @ A )
=> ? [B: $i] : ( ra_Px2 @ A @ B ) )
& ( ? [B: $i] : ( ra_Px2 @ A @ B )
=> ( cd @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(8,axiom,
! [A: $i] :
( ( cexcomp @ A )
<=> ? [B: $i] : ( ra_Px1 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
thf(55,plain,
! [A: $i] :
( ( ( cexcomp @ A )
=> ? [B: $i] : ( ra_Px1 @ A @ B ) )
& ( ? [B: $i] : ( ra_Px1 @ A @ B )
=> ( cexcomp @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(3,axiom,
! [A: $i] :
( ( cUnsatisfiable @ A )
<=> ( ? [B: $i] :
( ( rr @ A @ B )
& ( cexcomp @ B ) )
& ! [B: $i] :
( ( rr @ A @ B )
=> ( cd @ B ) )
& ! [B: $i] :
( ( rr @ A @ B )
=> ( ca_Cx4 @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
thf(23,plain,
! [A: $i] :
( ( ( cUnsatisfiable @ A )
=> ( ? [B: $i] :
( ( rr @ A @ B )
& ( cexcomp @ B ) )
& ! [B: $i] :
( ( rr @ A @ B )
=> ( cd @ B ) )
& ! [B: $i] :
( ( rr @ A @ B )
=> ( ca_Cx4 @ B ) ) ) )
& ( ( ? [B: $i] :
( ( rr @ A @ B )
& ( cexcomp @ B ) )
& ! [B: $i] :
( ( rr @ A @ B )
=> ( cd @ B ) )
& ! [B: $i] :
( ( rr @ A @ B )
=> ( ca_Cx4 @ B ) ) )
=> ( cUnsatisfiable @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(77,plain,
$false,
inference(e,[status(thm)],[60,65,13,45,76,18,50,38,70,40,55,23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS128+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n021.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Mon May 6 15:19:09 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.82/0.85 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.20/0.96 % [INFO] Parsing done (110ms).
% 1.20/0.97 % [INFO] Running in sequential loop mode.
% 1.48/1.17 % [INFO] eprover registered as external prover.
% 1.48/1.17 % [INFO] cvc4 registered as external prover.
% 1.71/1.18 % [INFO] Scanning for conjecture ...
% 1.71/1.20 % [INFO] 12 axioms and no conjecture found.
% 1.80/1.24 % [INFO] Problem is first-order (TPTP FOF).
% 1.80/1.25 % [INFO] Type checking passed.
% 1.80/1.25 % [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 ...
% 2.97/1.66 % External prover 'e' found a proof!
% 2.97/1.66 % [INFO] Killing All external provers ...
% 2.97/1.66 % Time passed: 1131ms (effective reasoning time: 682ms)
% 2.97/1.66 % Axioms used in derivation (12): axiom_7, axiom_10, axiom_2, axiom_6, axiom_3, axiom_1, axiom_8, axiom_5, axiom_0, axiom_11, axiom_9, axiom_4
% 2.97/1.66 % No. of inferences in proof: 25
% 2.97/1.66 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1131 ms resp. 682 ms w/o parsing
% 3.17/1.75 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.17/1.75 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------