%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : KRS128+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 : n019.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 07:44:42 AM UTC 2026
% Result : Unsatisfiable 3.48s 2.37s
% Output : Refutation 3.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 12
% Syntax : Number of formulae : 25 ( 3 unt; 0 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 : 0 ( 0 >; 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_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(cUnsatisfiable_decl,type,
cUnsatisfiable: $i > $o ).
thf(rr_decl,type,
rr: $i > $i > $o ).
thf(cexcomp_decl,type,
cexcomp: $i > $o ).
thf(cd_decl,type,
cd: $i > $o ).
thf(ca_Cx4_decl,type,
ca_Cx4: $i > $o ).
thf(cc_decl,type,
cc: $i > $o ).
thf(cdxcomp_decl,type,
cdxcomp: $i > $o ).
thf(ra_Px2_decl,type,
ra_Px2: $i > $i > $o ).
thf(ce_decl,type,
ce: $i > $o ).
thf(ra_Px1_decl,type,
ra_Px1: $i > $i > $o ).
thf(ra_Px4_decl,type,
ra_Px4: $i > $i > $o ).
thf(ca_Cx4xcomp_decl,type,
ca_Cx4xcomp: $i > $o ).
thf(i2003_11_14_17_22_31584_decl,type,
i2003_11_14_17_22_31584: $i ).
thf(3,axiom,
! [A: $i] :
( ( A @ cUnsatisfiable )
<=> ( ! [B: $i] :
( ( B @ ( A @ rr ) )
=> ( B @ ca_Cx4 ) )
& ! [B: $i] :
( ( B @ ( A @ rr ) )
=> ( B @ cd ) )
& ? [B: $i] :
( ( B @ cexcomp )
& ( B @ ( A @ rr ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
thf(25,plain,
! [A: $i] :
( ( ( ! [B: $i] :
( ( B @ ( A @ rr ) )
=> ( B @ ca_Cx4 ) )
& ! [B: $i] :
( ( B @ ( A @ rr ) )
=> ( B @ cd ) )
& ? [B: $i] :
( ( B @ cexcomp )
& ( B @ ( A @ rr ) ) ) )
=> ( A @ cUnsatisfiable ) )
& ( ( A @ cUnsatisfiable )
=> ( ! [B: $i] :
( ( B @ ( A @ rr ) )
=> ( B @ ca_Cx4 ) )
& ! [B: $i] :
( ( B @ ( A @ rr ) )
=> ( B @ cd ) )
& ? [B: $i] :
( ( B @ cexcomp )
& ( B @ ( A @ rr ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(8,axiom,
! [A: $i] :
( ( A @ cexcomp )
<=> ? [B: $i] : ( B @ ( A @ ra_Px1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
thf(61,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px1 ) )
=> ( A @ cexcomp ) )
& ( ( A @ cexcomp )
=> ? [B: $i] : ( B @ ( A @ ra_Px1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(10,axiom,
! [A: $i] :
( ( A @ ca_Cx4xcomp )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
thf(73,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px4 ) )
=> ( A @ ca_Cx4xcomp ) )
& ( ( A @ ca_Cx4xcomp )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px4 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(9,axiom,
! [A: $i] :
( ( A @ ca_Cx4 )
<=> ? [B: $i] : ( B @ ( A @ ra_Px4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
thf(67,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px4 ) )
=> ( A @ ca_Cx4 ) )
& ( ( A @ ca_Cx4 )
=> ? [B: $i] : ( B @ ( A @ ra_Px4 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(5,axiom,
! [A: $i] :
( ( A @ cd )
<=> ? [B: $i] : ( B @ ( A @ ra_Px2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
thf(43,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px2 ) )
=> ( A @ cd ) )
& ( ( A @ cd )
=> ? [B: $i] : ( B @ ( A @ ra_Px2 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(7,axiom,
! [A: $i] :
( ( A @ ce )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
thf(55,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px1 ) )
=> ( A @ ce ) )
& ( ( A @ ce )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(2,axiom,
! [A: $i] :
( ( A @ xsd_string )
<=> ~ ( A @ xsd_integer ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
thf(19,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(11,axiom,
! [A: $i] :
( ( A @ ca_Cx4xcomp )
<=> ( ( A @ cexcomp )
& ( A @ cd ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
thf(79,plain,
! [A: $i] :
( ( ( ( A @ cexcomp )
& ( A @ cd ) )
=> ( A @ ca_Cx4xcomp ) )
& ( ( A @ ca_Cx4xcomp )
=> ( ( A @ cexcomp )
& ( A @ cd ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(1,axiom,
! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
thf(13,plain,
! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(4,axiom,
! [A: $i] :
( ( A @ cc )
=> ( A @ cdxcomp ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
thf(41,plain,
! [A: $i] :
( ( A @ cc )
=> ( A @ cdxcomp ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(6,axiom,
! [A: $i] :
( ( A @ cdxcomp )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
thf(49,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px2 ) )
=> ( A @ cdxcomp ) )
& ( ( A @ cdxcomp )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px2 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(12,axiom,
i2003_11_14_17_22_31584 @ cUnsatisfiable,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
thf(86,plain,
i2003_11_14_17_22_31584 @ cUnsatisfiable,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(87,plain,
$false,
inference(e,[status(thm)],[25,61,73,67,43,55,19,79,13,41,49,86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS128+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.07 % 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
% 0.13/0.39 % Computer : n019.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Fri Sep 25 19:40:49 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 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
% 0.84/0.95 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.21/1.14 % [INFO] Parsing done (182ms).
% 1.21/1.15 % [INFO] Running in sequential loop mode.
% 1.80/1.55 % [INFO] eprover registered as external prover.
% 1.80/1.56 % [INFO] Scanning for conjecture ...
% 1.99/1.61 % [INFO] 12 axioms and no conjecture found.
% 1.99/1.67 % [INFO] Problem is first-order (TPTP FOF).
% 1.99/1.68 % [INFO] Type checking passed.
% 1.99/1.68 % [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 ...
% 3.48/2.37 % External prover 'e' found a proof!
% 3.48/2.37 % [INFO] Killing All external provers ...
% 3.48/2.37 % Time passed: 1837ms (effective reasoning time: 1209ms)
% 3.48/2.37 % 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
% 3.48/2.37 % No. of inferences in proof: 25
% 3.48/2.37 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1837 ms resp. 1209 ms w/o parsing
% 3.75/2.43 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.75/2.43 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------