%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : KRS124+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 : n001.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 4.93s 3.09s
% Output : Refutation 5.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 14
% Syntax : Number of formulae : 29 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 81 ( 0 equ; 0 cnn)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 161 ( 11 ~; 0 |; 18 &; 98 @)
% ( 7 <=>; 27 =>; 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 : 19 ( 18 usr; 2 con; 0-2 aty)
% Number of variables : 44 ( 0 ^; 29 !; 15 ?; 44 :)
% 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(ca_Ax3_decl,type,
ca_Ax3: $i > $o ).
thf(cc_decl,type,
cc: $i > $o ).
thf(cdxcomp_decl,type,
cdxcomp: $i > $o ).
thf(cc1_decl,type,
cc1: $i > $o ).
thf(cd1_decl,type,
cd1: $i > $o ).
thf(cd1xcomp_decl,type,
cd1xcomp: $i > $o ).
thf(cd_decl,type,
cd: $i > $o ).
thf(ra_Px1_decl,type,
ra_Px1: $i > $i > $o ).
thf(ra_Px2_decl,type,
ra_Px2: $i > $i > $o ).
thf(ce3_decl,type,
ce3: $i > $o ).
thf(cf_decl,type,
cf: $i > $o ).
thf(i2003_11_14_17_22_10903_decl,type,
i2003_11_14_17_22_10903: $i ).
thf(12,axiom,
! [A: $i] :
( ( A @ cf )
=> ( A @ cd ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
thf(69,plain,
! [A: $i] :
( ( A @ cf )
=> ( A @ cd ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(4,axiom,
! [A: $i] :
( ( A @ cc )
=> ( A @ cdxcomp ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
thf(37,plain,
! [A: $i] :
( ( A @ cc )
=> ( A @ cdxcomp ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(14,axiom,
i2003_11_14_17_22_10903 @ cUnsatisfiable,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
thf(78,plain,
i2003_11_14_17_22_10903 @ cUnsatisfiable,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(10,axiom,
! [A: $i] :
( ( A @ cd1xcomp )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
thf(61,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px2 ) )
=> ( A @ cd1xcomp ) )
& ( ( A @ cd1xcomp )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px2 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(2,axiom,
! [A: $i] :
( ( A @ xsd_string )
<=> ~ ( A @ xsd_integer ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
thf(21,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(6,axiom,
! [A: $i] :
( ( A @ cc1 )
=> ( A @ cd1xcomp ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
thf(41,plain,
! [A: $i] :
( ( A @ cc1 )
=> ( A @ cd1xcomp ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(3,axiom,
! [A: $i] :
( ( A @ cUnsatisfiable )
<=> ( ! [B: $i] :
( ( B @ ( A @ rr ) )
=> ( B @ ca_Ax3 ) )
& ? [B: $i] :
( ( B @ cowlThing )
& ( B @ ( A @ rr ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
thf(27,plain,
! [A: $i] :
( ( ( ! [B: $i] :
( ( B @ ( A @ rr ) )
=> ( B @ ca_Ax3 ) )
& ? [B: $i] :
( ( B @ cowlThing )
& ( B @ ( A @ rr ) ) ) )
=> ( A @ cUnsatisfiable ) )
& ( ( A @ cUnsatisfiable )
=> ( ! [B: $i] :
( ( B @ ( A @ rr ) )
=> ( B @ ca_Ax3 ) )
& ? [B: $i] :
( ( B @ cowlThing )
& ( B @ ( A @ rr ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(5,axiom,
! [A: $i] :
( ( A @ cc1 )
=> ( A @ cd1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
thf(39,plain,
! [A: $i] :
( ( A @ cc1 )
=> ( A @ cd1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(11,axiom,
! [A: $i] :
( ( A @ ce3 )
=> ( A @ cc ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
thf(67,plain,
! [A: $i] :
( ( A @ ce3 )
=> ( A @ cc ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(7,axiom,
! [A: $i] :
( ( A @ cd )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
thf(43,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px1 ) )
=> ( A @ cd ) )
& ( ( A @ cd )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(9,axiom,
! [A: $i] :
( ( A @ cd1 )
<=> ? [B: $i] : ( B @ ( A @ ra_Px2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
thf(55,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px2 ) )
=> ( A @ cd1 ) )
& ( ( A @ cd1 )
=> ? [B: $i] : ( B @ ( A @ ra_Px2 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(1,axiom,
! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
thf(15,plain,
! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(13,axiom,
! [A: $i] :
( ( A @ ca_Ax3 )
<=> ( ( A @ cc )
& ( A @ cd ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
thf(71,plain,
! [A: $i] :
( ( ( ( A @ cc )
& ( A @ cd ) )
=> ( A @ ca_Ax3 ) )
& ( ( A @ ca_Ax3 )
=> ( ( A @ cc )
& ( A @ cd ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(8,axiom,
! [A: $i] :
( ( A @ cdxcomp )
<=> ? [B: $i] : ( B @ ( A @ ra_Px1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
thf(49,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px1 ) )
=> ( A @ cdxcomp ) )
& ( ( A @ cdxcomp )
=> ? [B: $i] : ( B @ ( A @ ra_Px1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(79,plain,
$false,
inference(e,[status(thm)],[69,37,78,61,21,41,27,39,67,43,55,15,71,49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS124+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
% 0.13/0.40 % Computer : n001.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Fri Sep 25 19:46:10 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.41 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
% 1.28/1.17 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.72/1.44 % [INFO] Parsing done (263ms).
% 1.72/1.46 % [INFO] Running in sequential loop mode.
% 2.55/1.96 % [INFO] eprover registered as external prover.
% 2.55/1.97 % [INFO] Scanning for conjecture ...
% 2.55/2.03 % [INFO] 14 axioms and no conjecture found.
% 2.85/2.13 % [INFO] Problem is first-order (TPTP FOF).
% 2.85/2.14 % [INFO] Type checking passed.
% 2.85/2.15 % [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 ...
% 4.93/3.08 % External prover 'e' found a proof!
% 4.93/3.08 % [INFO] Killing All external provers ...
% 4.93/3.08 % Time passed: 2479ms (effective reasoning time: 1611ms)
% 4.93/3.08 % Axioms used in derivation (14): axiom_7, axiom_10, axiom_2, axiom_6, axiom_3, axiom_1, axiom_8, axiom_0, axiom_11, axiom_12, axiom_9, axiom_4, axiom_5, axiom_13
% 4.93/3.08 % No. of inferences in proof: 29
% 4.93/3.09 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 2479 ms resp. 1611 ms w/o parsing
% 5.15/3.17 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.15/3.17 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------