%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : KRS090+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 07:44:37 AM UTC 2026
% Result : Unsatisfiable 5.15s 2.47s
% Output : Refutation 5.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 9
% Syntax : Number of formulae : 19 ( 3 unt; 0 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 : 0 ( 0 >; 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_decl,type,
cowlThing: $i > $o ).
thf(cowlNothing_decl,type,
cowlNothing: $i > $o ).
thf(xsd_string_decl,type,
xsd_string: $i > $o ).
thf(xsd_integer_decl,type,
xsd_integer: $i > $o ).
thf(cC1_decl,type,
cC1: $i > $o ).
thf(cB5_decl,type,
cB5: $i > $o ).
thf(cA5_decl,type,
cA5: $i > $o ).
thf(cB13_decl,type,
cB13: $i > $o ).
thf(cA13_decl,type,
cA13: $i > $o ).
thf(cA1_decl,type,
cA1: $i > $o ).
thf(cB1_decl,type,
cB1: $i > $o ).
thf(cA27_decl,type,
cA27: $i > $o ).
thf(cB27_decl,type,
cB27: $i > $o ).
thf(cA4_decl,type,
cA4: $i > $o ).
thf(cB4_decl,type,
cB4: $i > $o ).
thf(cB12_decl,type,
cB12: $i > $o ).
thf(cA12_decl,type,
cA12: $i > $o ).
thf(cB30_decl,type,
cB30: $i > $o ).
thf(cA30_decl,type,
cA30: $i > $o ).
thf(cA20_decl,type,
cA20: $i > $o ).
thf(cB20_decl,type,
cB20: $i > $o ).
thf(cB14_decl,type,
cB14: $i > $o ).
thf(cA14_decl,type,
cA14: $i > $o ).
thf(cB28_decl,type,
cB28: $i > $o ).
thf(cA28_decl,type,
cA28: $i > $o ).
thf(cA3_decl,type,
cA3: $i > $o ).
thf(cB3_decl,type,
cB3: $i > $o ).
thf(cB7_decl,type,
cB7: $i > $o ).
thf(cA7_decl,type,
cA7: $i > $o ).
thf(cB21_decl,type,
cB21: $i > $o ).
thf(cA21_decl,type,
cA21: $i > $o ).
thf(cB22_decl,type,
cB22: $i > $o ).
thf(cA22_decl,type,
cA22: $i > $o ).
thf(cB17_decl,type,
cB17: $i > $o ).
thf(cA17_decl,type,
cA17: $i > $o ).
thf(cB11_decl,type,
cB11: $i > $o ).
thf(cA11_decl,type,
cA11: $i > $o ).
thf(cB19_decl,type,
cB19: $i > $o ).
thf(cA19_decl,type,
cA19: $i > $o ).
thf(cA8_decl,type,
cA8: $i > $o ).
thf(cB8_decl,type,
cB8: $i > $o ).
thf(cA26_decl,type,
cA26: $i > $o ).
thf(cB26_decl,type,
cB26: $i > $o ).
thf(cA25_decl,type,
cA25: $i > $o ).
thf(cB25_decl,type,
cB25: $i > $o ).
thf(cA29_decl,type,
cA29: $i > $o ).
thf(cB29_decl,type,
cB29: $i > $o ).
thf(cB23_decl,type,
cB23: $i > $o ).
thf(cA23_decl,type,
cA23: $i > $o ).
thf(cB18_decl,type,
cB18: $i > $o ).
thf(cA18_decl,type,
cA18: $i > $o ).
thf(cB10_decl,type,
cB10: $i > $o ).
thf(cA10_decl,type,
cA10: $i > $o ).
thf(cB2_decl,type,
cB2: $i > $o ).
thf(cA2_decl,type,
cA2: $i > $o ).
thf(cA16_decl,type,
cA16: $i > $o ).
thf(cB16_decl,type,
cB16: $i > $o ).
thf(cB0_decl,type,
cB0: $i > $o ).
thf(cA0_decl,type,
cA0: $i > $o ).
thf(cB31_decl,type,
cB31: $i > $o ).
thf(cA31_decl,type,
cA31: $i > $o ).
thf(cB9_decl,type,
cB9: $i > $o ).
thf(cA9_decl,type,
cA9: $i > $o ).
thf(cB6_decl,type,
cB6: $i > $o ).
thf(cA6_decl,type,
cA6: $i > $o ).
thf(cB24_decl,type,
cB24: $i > $o ).
thf(cA24_decl,type,
cA24: $i > $o ).
thf(cB15_decl,type,
cB15: $i > $o ).
thf(cA15_decl,type,
cA15: $i > $o ).
thf(cC2_decl,type,
cC2: $i > $o ).
thf(cB_decl,type,
cB: $i > $o ).
thf(cA_decl,type,
cA: $i > $o ).
thf(cC3_decl,type,
cC3: $i > $o ).
thf(cC4_decl,type,
cC4: $i > $o ).
thf(rR_decl,type,
rR: $i > $i > $o ).
thf(cC5_decl,type,
cC5: $i > $o ).
thf(cTEST_decl,type,
cTEST: $i > $o ).
thf(i2003_11_14_17_19_57994_decl,type,
i2003_11_14_17_19_57994: $i ).
thf(5,axiom,
! [A: $i] :
( ( A @ cC3 )
=> ( ( ~ ( A @ cA )
| ( A @ cB ) )
& ( ~ ( A @ cA )
| ~ ( A @ cB ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
thf(60,plain,
! [A: $i] :
( ( A @ cC3 )
=> ( ( ~ ( A @ cA )
| ( A @ cB ) )
& ( ~ ( A @ cA )
| ~ ( A @ cB ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(8,axiom,
! [A: $i] :
( ( A @ cTEST )
=> ( ( A @ cC5 )
& ( A @ cC1 )
& ( A @ cC4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
thf(70,plain,
! [A: $i] :
( ( A @ cTEST )
=> ( ( A @ cC5 )
& ( A @ cC1 )
& ( A @ cC4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(6,axiom,
! [A: $i] :
( ( A @ cC4 )
=> ? [B: $i] :
( ( B @ cC2 )
& ( B @ ( A @ rR ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
thf(64,plain,
! [A: $i] :
( ( A @ cC4 )
=> ? [B: $i] :
( ( B @ cC2 )
& ( B @ ( A @ rR ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(3,axiom,
! [A: $i] :
( ( A @ cC1 )
=> ( ( ( A @ cA15 )
| ( A @ cB15 ) )
& ( ( A @ cA24 )
| ( A @ cB24 ) )
& ( ( A @ cA6 )
| ( A @ cB6 ) )
& ( ( A @ cA9 )
| ( A @ cB9 ) )
& ( ( A @ cA31 )
| ( A @ cB31 ) )
& ( ( A @ cA0 )
| ( A @ cB0 ) )
& ( ( A @ cB16 )
| ( A @ cA16 ) )
& ( ( A @ cA2 )
| ( A @ cB2 ) )
& ( ( A @ cA10 )
| ( A @ cB10 ) )
& ( ( A @ cA18 )
| ( A @ cB18 ) )
& ( ( A @ cA23 )
| ( A @ cB23 ) )
& ( ( A @ cB29 )
| ( A @ cA29 ) )
& ( ( A @ cB25 )
| ( A @ cA25 ) )
& ( ( A @ cB26 )
| ( A @ cA26 ) )
& ( ( A @ cB8 )
| ( A @ cA8 ) )
& ( ( A @ cA19 )
| ( A @ cB19 ) )
& ( ( A @ cA11 )
| ( A @ cB11 ) )
& ( ( A @ cA17 )
| ( A @ cB17 ) )
& ( ( A @ cA22 )
| ( A @ cB22 ) )
& ( ( A @ cA21 )
| ( A @ cB21 ) )
& ( ( A @ cA7 )
| ( A @ cB7 ) )
& ( ( A @ cB3 )
| ( A @ cA3 ) )
& ( ( A @ cA28 )
| ( A @ cB28 ) )
& ( ( A @ cA14 )
| ( A @ cB14 ) )
& ( ( A @ cB20 )
| ( A @ cA20 ) )
& ( ( A @ cA30 )
| ( A @ cB30 ) )
& ( ( A @ cA12 )
| ( A @ cB12 ) )
& ( ( A @ cB4 )
| ( A @ cA4 ) )
& ( ( A @ cB27 )
| ( A @ cA27 ) )
& ( ( A @ cB1 )
| ( A @ cA1 ) )
& ( ( A @ cA13 )
| ( A @ cB13 ) )
& ( ( A @ cA5 )
| ( A @ cB5 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
thf(22,plain,
! [A: $i] :
( ( A @ cC1 )
=> ( ( ( A @ cA15 )
| ( A @ cB15 ) )
& ( ( A @ cA24 )
| ( A @ cB24 ) )
& ( ( A @ cA6 )
| ( A @ cB6 ) )
& ( ( A @ cA9 )
| ( A @ cB9 ) )
& ( ( A @ cA31 )
| ( A @ cB31 ) )
& ( ( A @ cA0 )
| ( A @ cB0 ) )
& ( ( A @ cB16 )
| ( A @ cA16 ) )
& ( ( A @ cA2 )
| ( A @ cB2 ) )
& ( ( A @ cA10 )
| ( A @ cB10 ) )
& ( ( A @ cA18 )
| ( A @ cB18 ) )
& ( ( A @ cA23 )
| ( A @ cB23 ) )
& ( ( A @ cB29 )
| ( A @ cA29 ) )
& ( ( A @ cB25 )
| ( A @ cA25 ) )
& ( ( A @ cB26 )
| ( A @ cA26 ) )
& ( ( A @ cB8 )
| ( A @ cA8 ) )
& ( ( A @ cA19 )
| ( A @ cB19 ) )
& ( ( A @ cA11 )
| ( A @ cB11 ) )
& ( ( A @ cA17 )
| ( A @ cB17 ) )
& ( ( A @ cA22 )
| ( A @ cB22 ) )
& ( ( A @ cA21 )
| ( A @ cB21 ) )
& ( ( A @ cA7 )
| ( A @ cB7 ) )
& ( ( A @ cB3 )
| ( A @ cA3 ) )
& ( ( A @ cA28 )
| ( A @ cB28 ) )
& ( ( A @ cA14 )
| ( A @ cB14 ) )
& ( ( A @ cB20 )
| ( A @ cA20 ) )
& ( ( A @ cA30 )
| ( A @ cB30 ) )
& ( ( A @ cA12 )
| ( A @ cB12 ) )
& ( ( A @ cB4 )
| ( A @ cA4 ) )
& ( ( A @ cB27 )
| ( A @ cA27 ) )
& ( ( A @ cB1 )
| ( A @ cA1 ) )
& ( ( A @ cA13 )
| ( A @ cB13 ) )
& ( ( A @ cA5 )
| ( A @ cB5 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(2,axiom,
! [A: $i] :
( ( A @ xsd_string )
<=> ~ ( A @ xsd_integer ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
thf(16,plain,
! [A: $i] :
( ( ~ ( A @ xsd_integer )
=> ( A @ xsd_string ) )
& ( ( A @ xsd_string )
=> ~ ( A @ xsd_integer ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(9,axiom,
i2003_11_14_17_19_57994 @ cTEST,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
thf(75,plain,
i2003_11_14_17_19_57994 @ cTEST,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(7,axiom,
! [A: $i] :
( ( A @ cC5 )
=> ! [B: $i] :
( ( B @ ( A @ rR ) )
=> ( B @ cC3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
thf(68,plain,
! [A: $i] :
( ( A @ cC5 )
=> ! [B: $i] :
( ( B @ ( A @ rR ) )
=> ( B @ cC3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(1,axiom,
! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
thf(10,plain,
! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(4,axiom,
! [A: $i] :
( ( A @ cC2 )
=> ( ( ( A @ cA )
| ( A @ cB ) )
& ( ( A @ cA )
| ~ ( A @ cB ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
thf(56,plain,
! [A: $i] :
( ( A @ cC2 )
=> ( ( ( A @ cA )
| ( A @ cB ) )
& ( ( A @ cA )
| ~ ( A @ cB ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(76,plain,
$false,
inference(e,[status(thm)],[60,70,64,22,16,75,68,10,56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS090+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.14/0.40 % Computer : n005.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Fri Sep 25 19:38:47 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.41 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.74/0.80 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.17/0.93 % [INFO] Parsing done (133ms).
% 1.17/0.94 % [INFO] Running in sequential loop mode.
% 1.77/1.18 % [INFO] eprover registered as external prover.
% 1.77/1.19 % [INFO] Scanning for conjecture ...
% 1.92/1.24 % [INFO] 9 axioms and no conjecture found.
% 2.18/1.30 % [INFO] Problem is first-order (TPTP FOF).
% 2.18/1.31 % [INFO] Type checking passed.
% 2.18/1.31 % [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 ...
% 5.15/2.46 % External prover 'e' found a proof!
% 5.15/2.46 % [INFO] Killing All external provers ...
% 5.15/2.47 % Time passed: 1936ms (effective reasoning time: 1521ms)
% 5.15/2.47 % Axioms used in derivation (9): axiom_7, axiom_2, axiom_6, axiom_3, axiom_1, axiom_8, axiom_5, axiom_0, axiom_4
% 5.15/2.47 % No. of inferences in proof: 19
% 5.15/2.47 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1936 ms resp. 1521 ms w/o parsing
% 5.40/2.53 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.40/2.53 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------