TSTP Solution File: KRS090+1 by Leo-III---1.7.10
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : KRS090+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 07:51:51 EDT 2024
% Result : Unsatisfiable 3.94s 1.95s
% Output : Refutation 4.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 87
% Syntax : Number of formulae : 97 ( 3 unt; 78 typ; 0 def)
% Number of atoms : 183 ( 0 equ; 0 cnn)
% Maximal formula atoms : 65 ( 9 avg)
% Number of connectives : 363 ( 13 ~; 72 |; 75 &; 186 @)
% ( 1 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 36 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 78 ( 78 >; 0 *; 0 +; 0 <<)
% Number of symbols : 79 ( 78 usr; 2 con; 0-2 aty)
% Number of variables : 20 ( 0 ^ 18 !; 2 ?; 20 :)
% 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(cC1_type,type,
cC1: $i > $o ).
thf(cB5_type,type,
cB5: $i > $o ).
thf(cA5_type,type,
cA5: $i > $o ).
thf(cB13_type,type,
cB13: $i > $o ).
thf(cA13_type,type,
cA13: $i > $o ).
thf(cA1_type,type,
cA1: $i > $o ).
thf(cB1_type,type,
cB1: $i > $o ).
thf(cA27_type,type,
cA27: $i > $o ).
thf(cB27_type,type,
cB27: $i > $o ).
thf(cA4_type,type,
cA4: $i > $o ).
thf(cB4_type,type,
cB4: $i > $o ).
thf(cB12_type,type,
cB12: $i > $o ).
thf(cA12_type,type,
cA12: $i > $o ).
thf(cB30_type,type,
cB30: $i > $o ).
thf(cA30_type,type,
cA30: $i > $o ).
thf(cA20_type,type,
cA20: $i > $o ).
thf(cB20_type,type,
cB20: $i > $o ).
thf(cB14_type,type,
cB14: $i > $o ).
thf(cA14_type,type,
cA14: $i > $o ).
thf(cB28_type,type,
cB28: $i > $o ).
thf(cA28_type,type,
cA28: $i > $o ).
thf(cA3_type,type,
cA3: $i > $o ).
thf(cB3_type,type,
cB3: $i > $o ).
thf(cB7_type,type,
cB7: $i > $o ).
thf(cA7_type,type,
cA7: $i > $o ).
thf(cB21_type,type,
cB21: $i > $o ).
thf(cA21_type,type,
cA21: $i > $o ).
thf(cB22_type,type,
cB22: $i > $o ).
thf(cA22_type,type,
cA22: $i > $o ).
thf(cB17_type,type,
cB17: $i > $o ).
thf(cA17_type,type,
cA17: $i > $o ).
thf(cB11_type,type,
cB11: $i > $o ).
thf(cA11_type,type,
cA11: $i > $o ).
thf(cB19_type,type,
cB19: $i > $o ).
thf(cA19_type,type,
cA19: $i > $o ).
thf(cA8_type,type,
cA8: $i > $o ).
thf(cB8_type,type,
cB8: $i > $o ).
thf(cA26_type,type,
cA26: $i > $o ).
thf(cB26_type,type,
cB26: $i > $o ).
thf(cA25_type,type,
cA25: $i > $o ).
thf(cB25_type,type,
cB25: $i > $o ).
thf(cA29_type,type,
cA29: $i > $o ).
thf(cB29_type,type,
cB29: $i > $o ).
thf(cB23_type,type,
cB23: $i > $o ).
thf(cA23_type,type,
cA23: $i > $o ).
thf(cB18_type,type,
cB18: $i > $o ).
thf(cA18_type,type,
cA18: $i > $o ).
thf(cB10_type,type,
cB10: $i > $o ).
thf(cA10_type,type,
cA10: $i > $o ).
thf(cB2_type,type,
cB2: $i > $o ).
thf(cA2_type,type,
cA2: $i > $o ).
thf(cA16_type,type,
cA16: $i > $o ).
thf(cB16_type,type,
cB16: $i > $o ).
thf(cB0_type,type,
cB0: $i > $o ).
thf(cA0_type,type,
cA0: $i > $o ).
thf(cB31_type,type,
cB31: $i > $o ).
thf(cA31_type,type,
cA31: $i > $o ).
thf(cB9_type,type,
cB9: $i > $o ).
thf(cA9_type,type,
cA9: $i > $o ).
thf(cB6_type,type,
cB6: $i > $o ).
thf(cA6_type,type,
cA6: $i > $o ).
thf(cB24_type,type,
cB24: $i > $o ).
thf(cA24_type,type,
cA24: $i > $o ).
thf(cB15_type,type,
cB15: $i > $o ).
thf(cA15_type,type,
cA15: $i > $o ).
thf(cC2_type,type,
cC2: $i > $o ).
thf(cB_type,type,
cB: $i > $o ).
thf(cA_type,type,
cA: $i > $o ).
thf(cC3_type,type,
cC3: $i > $o ).
thf(cC4_type,type,
cC4: $i > $o ).
thf(rR_type,type,
rR: $i > $i > $o ).
thf(cC5_type,type,
cC5: $i > $o ).
thf(cTEST_type,type,
cTEST: $i > $o ).
thf(i2003_11_14_17_19_57994_type,type,
i2003_11_14_17_19_57994: $i ).
thf(3,axiom,
! [A: $i] :
( ( cC1 @ A )
=> ( ( ( cB5 @ A )
| ( cA5 @ A ) )
& ( ( cB13 @ A )
| ( cA13 @ A ) )
& ( ( cA1 @ A )
| ( cB1 @ A ) )
& ( ( cA27 @ A )
| ( cB27 @ A ) )
& ( ( cA4 @ A )
| ( cB4 @ A ) )
& ( ( cB12 @ A )
| ( cA12 @ A ) )
& ( ( cB30 @ A )
| ( cA30 @ A ) )
& ( ( cA20 @ A )
| ( cB20 @ A ) )
& ( ( cB14 @ A )
| ( cA14 @ A ) )
& ( ( cB28 @ A )
| ( cA28 @ A ) )
& ( ( cA3 @ A )
| ( cB3 @ A ) )
& ( ( cB7 @ A )
| ( cA7 @ A ) )
& ( ( cB21 @ A )
| ( cA21 @ A ) )
& ( ( cB22 @ A )
| ( cA22 @ A ) )
& ( ( cB17 @ A )
| ( cA17 @ A ) )
& ( ( cB11 @ A )
| ( cA11 @ A ) )
& ( ( cB19 @ A )
| ( cA19 @ A ) )
& ( ( cA8 @ A )
| ( cB8 @ A ) )
& ( ( cA26 @ A )
| ( cB26 @ A ) )
& ( ( cA25 @ A )
| ( cB25 @ A ) )
& ( ( cA29 @ A )
| ( cB29 @ A ) )
& ( ( cB23 @ A )
| ( cA23 @ A ) )
& ( ( cB18 @ A )
| ( cA18 @ A ) )
& ( ( cB10 @ A )
| ( cA10 @ A ) )
& ( ( cB2 @ A )
| ( cA2 @ A ) )
& ( ( cA16 @ A )
| ( cB16 @ A ) )
& ( ( cB0 @ A )
| ( cA0 @ A ) )
& ( ( cB31 @ A )
| ( cA31 @ A ) )
& ( ( cB9 @ A )
| ( cA9 @ A ) )
& ( ( cB6 @ A )
| ( cA6 @ A ) )
& ( ( cB24 @ A )
| ( cA24 @ A ) )
& ( ( cB15 @ A )
| ( cA15 @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
thf(20,plain,
! [A: $i] :
( ( cC1 @ A )
=> ( ( ( cB5 @ A )
| ( cA5 @ A ) )
& ( ( cB13 @ A )
| ( cA13 @ A ) )
& ( ( cA1 @ A )
| ( cB1 @ A ) )
& ( ( cA27 @ A )
| ( cB27 @ A ) )
& ( ( cA4 @ A )
| ( cB4 @ A ) )
& ( ( cB12 @ A )
| ( cA12 @ A ) )
& ( ( cB30 @ A )
| ( cA30 @ A ) )
& ( ( cA20 @ A )
| ( cB20 @ A ) )
& ( ( cB14 @ A )
| ( cA14 @ A ) )
& ( ( cB28 @ A )
| ( cA28 @ A ) )
& ( ( cA3 @ A )
| ( cB3 @ A ) )
& ( ( cB7 @ A )
| ( cA7 @ A ) )
& ( ( cB21 @ A )
| ( cA21 @ A ) )
& ( ( cB22 @ A )
| ( cA22 @ A ) )
& ( ( cB17 @ A )
| ( cA17 @ A ) )
& ( ( cB11 @ A )
| ( cA11 @ A ) )
& ( ( cB19 @ A )
| ( cA19 @ A ) )
& ( ( cA8 @ A )
| ( cB8 @ A ) )
& ( ( cA26 @ A )
| ( cB26 @ A ) )
& ( ( cA25 @ A )
| ( cB25 @ A ) )
& ( ( cA29 @ A )
| ( cB29 @ A ) )
& ( ( cB23 @ A )
| ( cA23 @ A ) )
& ( ( cB18 @ A )
| ( cA18 @ A ) )
& ( ( cB10 @ A )
| ( cA10 @ A ) )
& ( ( cB2 @ A )
| ( cA2 @ A ) )
& ( ( cA16 @ A )
| ( cB16 @ A ) )
& ( ( cB0 @ A )
| ( cA0 @ A ) )
& ( ( cB31 @ A )
| ( cA31 @ A ) )
& ( ( cB9 @ A )
| ( cA9 @ A ) )
& ( ( cB6 @ A )
| ( cA6 @ A ) )
& ( ( cB24 @ A )
| ( cA24 @ A ) )
& ( ( cB15 @ A )
| ( cA15 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(4,axiom,
! [A: $i] :
( ( cC2 @ A )
=> ( ( ~ ( cB @ A )
| ( cA @ A ) )
& ( ( cB @ A )
| ( cA @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
thf(53,plain,
! [A: $i] :
( ( cC2 @ A )
=> ( ( ~ ( cB @ A )
| ( cA @ A ) )
& ( ( cB @ A )
| ( cA @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(8,axiom,
! [A: $i] :
( ( cTEST @ A )
=> ( ( cC4 @ A )
& ( cC1 @ A )
& ( cC5 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
thf(64,plain,
! [A: $i] :
( ( cTEST @ A )
=> ( ( cC4 @ A )
& ( cC1 @ A )
& ( cC5 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(6,axiom,
! [A: $i] :
( ( cC4 @ A )
=> ? [B: $i] :
( ( rR @ A @ B )
& ( cC2 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
thf(59,plain,
! [A: $i] :
( ( cC4 @ A )
=> ? [B: $i] :
( ( rR @ A @ B )
& ( cC2 @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(1,axiom,
! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
thf(10,plain,
! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(5,axiom,
! [A: $i] :
( ( cC3 @ A )
=> ( ( ~ ( cB @ A )
| ~ ( cA @ A ) )
& ( ( cB @ A )
| ~ ( cA @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
thf(56,plain,
! [A: $i] :
( ( cC3 @ A )
=> ( ( ~ ( cB @ A )
| ~ ( cA @ A ) )
& ( ( cB @ A )
| ~ ( cA @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(2,axiom,
! [A: $i] :
( ( xsd_string @ A )
<=> ~ ( xsd_integer @ A ) ),
file('/export/starexec/sandbox2/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(9,axiom,
cTEST @ i2003_11_14_17_19_57994,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
thf(68,plain,
cTEST @ i2003_11_14_17_19_57994,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(7,axiom,
! [A: $i] :
( ( cC5 @ A )
=> ! [B: $i] :
( ( rR @ A @ B )
=> ( cC3 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
thf(62,plain,
! [A: $i] :
( ( cC5 @ A )
=> ! [B: $i] :
( ( rR @ A @ B )
=> ( cC3 @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(69,plain,
$false,
inference(e,[status(thm)],[20,53,64,59,10,56,15,68,62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : KRS090+1 : TPTP v8.1.2. Released v3.1.0.
% 0.12/0.15 % Command : run_Leo-III %s %d
% 0.15/0.37 % Computer : n005.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Mon May 6 15:16:54 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.98/0.87 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.16/1.00 % [INFO] Parsing done (135ms).
% 1.16/1.01 % [INFO] Running in sequential loop mode.
% 1.79/1.23 % [INFO] eprover registered as external prover.
% 1.79/1.23 % [INFO] cvc4 registered as external prover.
% 1.79/1.24 % [INFO] Scanning for conjecture ...
% 1.84/1.27 % [INFO] 9 axioms and no conjecture found.
% 2.03/1.35 % [INFO] Problem is first-order (TPTP FOF).
% 2.03/1.35 % [INFO] Type checking passed.
% 2.03/1.35 % [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 ...
% 3.94/1.95 % External prover 'e' found a proof!
% 3.94/1.95 % [INFO] Killing All external provers ...
% 3.94/1.95 % Time passed: 1416ms (effective reasoning time: 936ms)
% 3.94/1.95 % Axioms used in derivation (9): axiom_7, axiom_2, axiom_6, axiom_3, axiom_1, axiom_8, axiom_5, axiom_0, axiom_4
% 3.94/1.95 % No. of inferences in proof: 19
% 3.94/1.95 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1416 ms resp. 936 ms w/o parsing
% 4.13/2.01 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.13/2.01 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------