%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : KRS160+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n010.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 07:44:47 AM UTC 2026
% Result : Theorem 4.07s 7.61s
% Output : Refutation 4.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 23
% Syntax : Number of formulae : 48 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 138 ( 0 equ; 0 cnn)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 278 ( 23 ~; 0 |; 48 &; 165 @)
% ( 14 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 20 usr; 3 con; 0-2 aty)
% Number of variables : 58 ( 0 ^; 34 !; 24 ?; 58 :)
% 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(iV21080_decl,type,
iV21080: $i ).
thf(cC12_decl,type,
cC12: $i > $o ).
thf(cC10_decl,type,
cC10: $i > $o ).
thf(iV21081_decl,type,
iV21081: $i ).
thf(cC2xcomp_decl,type,
cC2xcomp: $i > $o ).
thf(ra_Px1_decl,type,
ra_Px1: $i > $i > $o ).
thf(cC6_decl,type,
cC6: $i > $o ).
thf(ra_Px4_decl,type,
ra_Px4: $i > $i > $o ).
thf(cC8_decl,type,
cC8: $i > $o ).
thf(ra_Px2_decl,type,
ra_Px2: $i > $i > $o ).
thf(rR1_decl,type,
rR1: $i > $i > $o ).
thf(cC6xcomp_decl,type,
cC6xcomp: $i > $o ).
thf(cC8xcomp_decl,type,
cC8xcomp: $i > $o ).
thf(cC2_decl,type,
cC2: $i > $o ).
thf(cC4_decl,type,
cC4: $i > $o ).
thf(cTEST_decl,type,
cTEST: $i > $o ).
thf(21,axiom,
! [A: $i] :
( ( A @ cC10 )
<=> ( ( A @ cC2 )
& ( A @ cC4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
thf(115,plain,
! [A: $i] :
( ( ( ( A @ cC2 )
& ( A @ cC4 ) )
=> ( A @ cC10 ) )
& ( ( A @ cC10 )
=> ( ( A @ cC2 )
& ( A @ cC4 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(1,conjecture,
( ( iV21081 @ cowlThing )
& ( iV21081 @ cC10 )
& ( iV21080 @ cC12 )
& ( iV21080 @ cowlThing )
& ! [A: $i] :
( ( A @ xsd_string )
<=> ~ ( A @ xsd_integer ) )
& ! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
thf(2,negated_conjecture,
~ ( ( iV21081 @ cowlThing )
& ( iV21081 @ cC10 )
& ( iV21080 @ cC12 )
& ( iV21080 @ cowlThing )
& ! [A: $i] :
( ( A @ xsd_string )
<=> ~ ( A @ xsd_integer ) )
& ! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(25,plain,
~ ( ( iV21081 @ cowlThing )
& ( iV21081 @ cC10 )
& ( iV21080 @ cC12 )
& ( iV21080 @ cowlThing )
& ! [A: $i] :
( ( ~ ( A @ xsd_integer )
=> ( A @ xsd_string ) )
& ( ( A @ xsd_string )
=> ~ ( A @ xsd_integer ) ) )
& ! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(7,axiom,
! [A: $i] :
( ( A @ cC6xcomp )
<=> ? [B: $i] : ( B @ ( A @ ra_Px4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
thf(57,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px4 ) )
=> ( A @ cC6xcomp ) )
& ( ( A @ cC6xcomp )
=> ? [B: $i] : ( B @ ( A @ ra_Px4 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(4,axiom,
! [A: $i] :
( ( A @ cC6 )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
thf(38,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px4 ) )
=> ( A @ cC6 ) )
& ( ( A @ cC6 )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px4 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(3,axiom,
! [A: $i] :
( ( A @ cC2xcomp )
<=> ? [B: $i] : ( B @ ( A @ ra_Px1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
thf(32,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px1 ) )
=> ( A @ cC2xcomp ) )
& ( ( A @ cC2xcomp )
=> ? [B: $i] : ( B @ ( A @ ra_Px1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(5,axiom,
! [A: $i] :
( ( A @ cC8 )
<=> ? [B: $i] : ( B @ ( A @ ra_Px2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
thf(44,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px2 ) )
=> ( A @ cC8 ) )
& ( ( A @ cC8 )
=> ? [B: $i] : ( B @ ( A @ ra_Px2 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(15,axiom,
iV21081 @ cowlThing,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_21) ).
thf(98,plain,
iV21081 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(23,axiom,
iV21081 @ cC4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).
thf(123,plain,
iV21081 @ cC4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(8,axiom,
! [A: $i] :
( ( A @ cC8xcomp )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
thf(63,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px2 ) )
=> ( A @ cC8xcomp ) )
& ( ( A @ cC8xcomp )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px2 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(6,axiom,
! [A: $i] :
( ( A @ cC8 )
<=> ? [B: $i] :
( ( B @ cC6 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
thf(50,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC6 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC8 ) )
& ( ( A @ cC8 )
=> ? [B: $i] :
( ( B @ cC6 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(16,axiom,
iV21080 @ cowlThing,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).
thf(99,plain,
iV21080 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(9,axiom,
! [A: $i] :
( ( A @ cC2 )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
thf(69,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px1 ) )
=> ( A @ cC2 ) )
& ( ( A @ cC2 )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(18,axiom,
! [A: $i] :
( ( A @ ( iV21080 @ rR1 ) )
=> ( A @ cC6xcomp ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_16) ).
thf(101,plain,
! [A: $i] :
( ( A @ ( iV21080 @ rR1 ) )
=> ( A @ cC6xcomp ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(20,axiom,
! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
thf(109,plain,
! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(24,axiom,
iV21081 @ ( iV21080 @ rR1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).
thf(124,plain,
iV21081 @ ( iV21080 @ rR1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(19,axiom,
! [A: $i] :
( ( A @ xsd_string )
<=> ~ ( A @ xsd_integer ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
thf(103,plain,
! [A: $i] :
( ( ~ ( A @ xsd_integer )
=> ( A @ xsd_string ) )
& ( ( A @ xsd_string )
=> ~ ( A @ xsd_integer ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(14,axiom,
! [A: $i] :
( ( A @ cTEST )
<=> ( ( A @ cC12 )
& ( A @ cC8xcomp ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
thf(91,plain,
! [A: $i] :
( ( ( ( A @ cC12 )
& ( A @ cC8xcomp ) )
=> ( A @ cTEST ) )
& ( ( A @ cTEST )
=> ( ( A @ cC12 )
& ( A @ cC8xcomp ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(10,axiom,
! [A: $i] :
( ( A @ cC6 )
<=> ( ( A @ cC4 )
& ( A @ cC2xcomp ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
thf(75,plain,
! [A: $i] :
( ( ( ( A @ cC4 )
& ( A @ cC2xcomp ) )
=> ( A @ cC6 ) )
& ( ( A @ cC6 )
=> ( ( A @ cC4 )
& ( A @ cC2xcomp ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(11,axiom,
iV21081 @ cC2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).
thf(82,plain,
iV21081 @ cC2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(13,axiom,
iV21081 @ cC6xcomp,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
thf(90,plain,
iV21081 @ cC6xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(22,axiom,
iV21080 @ cC8xcomp,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
thf(122,plain,
iV21080 @ cC8xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(12,axiom,
! [A: $i] :
( ( A @ cC12 )
<=> ? [B: $i] :
( ( B @ cC10 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
thf(83,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC10 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC12 ) )
& ( ( A @ cC12 )
=> ? [B: $i] :
( ( B @ cC10 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(17,axiom,
iV21080 @ cTEST,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
thf(100,plain,
iV21080 @ cTEST,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(125,plain,
$false,
inference(e,[status(thm)],[115,25,57,38,32,44,98,123,63,50,99,69,101,109,124,103,91,75,82,90,122,83,100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS160+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.14/5.42 % Computer : n010.cluster.edu
% 0.14/5.42 % Model : x86_64 x86_64
% 0.14/5.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/5.42 % Memory : 8046.5625MB
% 0.14/5.42 % OS : Linux 6.8.0-71-generic
% 0.14/5.42 % CPULimit : 300
% 0.14/5.42 % WCLimit : 300
% 0.14/5.42 % DateTime : Fri Sep 25 19:42:07 UTC 2026
% 0.14/5.42 % CPUTime :
% 0.14/5.42 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.19/6.02 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.31/6.22 % [INFO] Parsing done (197ms).
% 1.31/6.23 % [INFO] Running in sequential loop mode.
% 1.91/6.63 % [INFO] eprover registered as external prover.
% 1.91/6.63 % [INFO] Scanning for conjecture ...
% 2.09/6.73 % [INFO] Found a conjecture (or negated_conjecture) and 22 axioms. Running axiom selection ...
% 2.25/6.80 % [INFO] Axiom selection finished. Selected 22 axioms (removed 0 axioms).
% 2.25/6.83 % [INFO] Problem is first-order (TPTP FOF).
% 2.25/6.84 % [INFO] Type checking passed.
% 2.25/6.85 % [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 ...
% 4.07/7.60 % External prover 'e' found a proof!
% 4.07/7.60 % [INFO] Killing All external provers ...
% 4.07/7.60 % Time passed: 2033ms (effective reasoning time: 1368ms)
% 4.07/7.60 % Solved by 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)>
% 4.07/7.61 % Axioms used in derivation (22): axiom_7, axiom_10, axiom_15, axiom_2, axiom_6, axiom_16, axiom_3, axiom_20, axiom_1, axiom_8, axiom_17, axiom_0, axiom_11, axiom_9, axiom_14, axiom_4, axiom_21, axiom_19, axiom_5, axiom_13, axiom_18, axiom_12
% 4.07/7.61 % No. of inferences in proof: 48
% 4.07/7.61 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2033 ms resp. 1368 ms w/o parsing
% 4.07/7.68 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.07/7.68 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------