%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : KRS104+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 07:44:39 AM UTC 2026
% Result : Unsatisfiable 5.60s 3.13s
% Output : Refutation 5.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 24
% Syntax : Number of formulae : 49 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 153 ( 0 equ; 0 cnn)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 324 ( 26 ~; 0 |; 40 &; 194 @)
% ( 20 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 28 ( 27 usr; 2 con; 0-2 aty)
% Number of variables : 88 ( 0 ^; 46 !; 42 ?; 88 :)
% 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(ra_Px5_decl,type,
ra_Px5: $i > $i > $o ).
thf(cUnsatisfiablexcomp_decl,type,
cUnsatisfiablexcomp: $i > $o ).
thf(ca_Cx7_decl,type,
ca_Cx7: $i > $o ).
thf(ca_Cx8_decl,type,
ca_Cx8: $i > $o ).
thf(ca_Cx6_decl,type,
ca_Cx6: $i > $o ).
thf(ca_decl,type,
ca: $i > $o ).
thf(ca_Cx1_decl,type,
ca_Cx1: $i > $o ).
thf(cb_decl,type,
cb: $i > $o ).
thf(ra_Px3_decl,type,
ra_Px3: $i > $i > $o ).
thf(ccxcomp_decl,type,
ccxcomp: $i > $o ).
thf(cbxcomp_decl,type,
cbxcomp: $i > $o ).
thf(cc_decl,type,
cc: $i > $o ).
thf(ra_Px2_decl,type,
ra_Px2: $i > $i > $o ).
thf(ra_Px1_decl,type,
ra_Px1: $i > $i > $o ).
thf(ca_Cx1xcomp_decl,type,
ca_Cx1xcomp: $i > $o ).
thf(ra_Px6_decl,type,
ra_Px6: $i > $i > $o ).
thf(ca_Cx6xcomp_decl,type,
ca_Cx6xcomp: $i > $o ).
thf(ra_Px7_decl,type,
ra_Px7: $i > $i > $o ).
thf(ca_Cx7xcomp_decl,type,
ca_Cx7xcomp: $i > $o ).
thf(ra_Px8_decl,type,
ra_Px8: $i > $i > $o ).
thf(ca_Cx8xcomp_decl,type,
ca_Cx8xcomp: $i > $o ).
thf(i2003_11_14_17_20_50869_decl,type,
i2003_11_14_17_20_50869: $i ).
thf(21,axiom,
! [A: $i] :
( ( A @ ca_Cx8 )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_20) ).
thf(142,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px8 ) )
=> ( A @ ca_Cx8 ) )
& ( ( A @ ca_Cx8 )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px8 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(16,axiom,
! [A: $i] :
( ( A @ ca_Cx6xcomp )
<=> ( ( A @ cb )
& ( A @ ca ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).
thf(110,plain,
! [A: $i] :
( ( ( ( A @ cb )
& ( A @ ca ) )
=> ( A @ ca_Cx6xcomp ) )
& ( ( A @ ca_Cx6xcomp )
=> ( ( A @ cb )
& ( A @ ca ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(6,axiom,
! [A: $i] :
( ( A @ ca )
=> ( A @ ca_Cx1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
thf(57,plain,
! [A: $i] :
( ( A @ ca )
=> ( A @ ca_Cx1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(19,axiom,
! [A: $i] :
( ( A @ ca_Cx7xcomp )
<=> ( ( A @ ca )
& ( A @ cc ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_18) ).
thf(129,plain,
! [A: $i] :
( ( ( ( A @ ca )
& ( A @ cc ) )
=> ( A @ ca_Cx7xcomp ) )
& ( ( A @ ca_Cx7xcomp )
=> ( ( A @ ca )
& ( A @ cc ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(10,axiom,
! [A: $i] :
( ( A @ cc )
<=> ? [B: $i] : ( B @ ( A @ ra_Px2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
thf(73,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px2 ) )
=> ( A @ cc ) )
& ( ( A @ cc )
=> ? [B: $i] : ( B @ ( A @ ra_Px2 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(7,axiom,
! [A: $i] :
( ( A @ cb )
<=> ? [B: $i] : ( B @ ( A @ ra_Px3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
thf(59,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px3 ) )
=> ( A @ cb ) )
& ( ( A @ cb )
=> ? [B: $i] : ( B @ ( A @ ra_Px3 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(14,axiom,
! [A: $i] :
( ( A @ ca_Cx1xcomp )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
thf(98,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px1 ) )
=> ( A @ ca_Cx1xcomp ) )
& ( ( A @ ca_Cx1xcomp )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(18,axiom,
! [A: $i] :
( ( A @ ca_Cx7 )
<=> ? [B: $i] : ( B @ ( A @ ra_Px7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).
thf(123,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px7 ) )
=> ( A @ ca_Cx7 ) )
& ( ( A @ ca_Cx7 )
=> ? [B: $i] : ( B @ ( A @ ra_Px7 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(15,axiom,
! [A: $i] :
( ( A @ ca_Cx6 )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
thf(104,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px6 ) )
=> ( A @ ca_Cx6 ) )
& ( ( A @ ca_Cx6 )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px6 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(5,axiom,
! [A: $i] :
( ( A @ cUnsatisfiablexcomp )
<=> ? [B: $i] : ( B @ ( A @ ra_Px5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
thf(51,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px5 ) )
=> ( A @ cUnsatisfiablexcomp ) )
& ( ( A @ cUnsatisfiablexcomp )
=> ? [B: $i] : ( B @ ( A @ ra_Px5 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(3,axiom,
! [A: $i] :
( ( A @ cUnsatisfiable )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
thf(37,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px5 ) )
=> ( A @ cUnsatisfiable ) )
& ( ( A @ cUnsatisfiable )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px5 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(1,axiom,
! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
thf(25,plain,
! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(17,axiom,
! [A: $i] :
( ( A @ ca_Cx6xcomp )
<=> ? [B: $i] : ( B @ ( A @ ra_Px6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_16) ).
thf(117,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px6 ) )
=> ( A @ ca_Cx6xcomp ) )
& ( ( A @ ca_Cx6xcomp )
=> ? [B: $i] : ( B @ ( A @ ra_Px6 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(12,axiom,
! [A: $i] :
( ( A @ ca_Cx1 )
<=> ( ( A @ ccxcomp )
& ( A @ cbxcomp ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
thf(85,plain,
! [A: $i] :
( ( ( ( A @ ccxcomp )
& ( A @ cbxcomp ) )
=> ( A @ ca_Cx1 ) )
& ( ( A @ ca_Cx1 )
=> ( ( A @ ccxcomp )
& ( A @ cbxcomp ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(13,axiom,
! [A: $i] :
( ( A @ ca_Cx1 )
<=> ? [B: $i] : ( B @ ( A @ ra_Px1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
thf(92,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px1 ) )
=> ( A @ ca_Cx1 ) )
& ( ( A @ ca_Cx1 )
=> ? [B: $i] : ( B @ ( A @ ra_Px1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(8,axiom,
! [A: $i] :
( ( A @ cb )
=> ( A @ ccxcomp ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
thf(65,plain,
! [A: $i] :
( ( A @ cb )
=> ( A @ ccxcomp ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(22,axiom,
! [A: $i] :
( ( A @ ca_Cx8xcomp )
<=> ? [B: $i] : ( B @ ( A @ ra_Px8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_21) ).
thf(148,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px8 ) )
=> ( A @ ca_Cx8xcomp ) )
& ( ( A @ ca_Cx8xcomp )
=> ? [B: $i] : ( B @ ( A @ ra_Px8 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(24,axiom,
i2003_11_14_17_20_50869 @ cUnsatisfiable,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_23) ).
thf(161,plain,
i2003_11_14_17_20_50869 @ cUnsatisfiable,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(9,axiom,
! [A: $i] :
( ( A @ cbxcomp )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
thf(67,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px3 ) )
=> ( A @ cbxcomp ) )
& ( ( A @ cbxcomp )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px3 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(2,axiom,
! [A: $i] :
( ( A @ xsd_string )
<=> ~ ( A @ xsd_integer ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
thf(31,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(23,axiom,
! [A: $i] :
( ( A @ ca_Cx8xcomp )
<=> ( ( A @ cb )
& ( A @ cc ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_22) ).
thf(154,plain,
! [A: $i] :
( ( ( ( A @ cb )
& ( A @ cc ) )
=> ( A @ ca_Cx8xcomp ) )
& ( ( A @ ca_Cx8xcomp )
=> ( ( A @ cb )
& ( A @ cc ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(4,axiom,
! [A: $i] :
( ( A @ cUnsatisfiablexcomp )
<=> ( ( A @ ca_Cx6 )
& ( A @ ca_Cx8 )
& ( A @ ca_Cx7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
thf(43,plain,
! [A: $i] :
( ( ( ( A @ ca_Cx6 )
& ( A @ ca_Cx8 )
& ( A @ ca_Cx7 ) )
=> ( A @ cUnsatisfiablexcomp ) )
& ( ( A @ cUnsatisfiablexcomp )
=> ( ( A @ ca_Cx6 )
& ( A @ ca_Cx8 )
& ( A @ ca_Cx7 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(20,axiom,
! [A: $i] :
( ( A @ ca_Cx7xcomp )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_19) ).
thf(136,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px7 ) )
=> ( A @ ca_Cx7xcomp ) )
& ( ( A @ ca_Cx7xcomp )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px7 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(11,axiom,
! [A: $i] :
( ( A @ ccxcomp )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
thf(79,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px2 ) )
=> ( A @ ccxcomp ) )
& ( ( A @ ccxcomp )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px2 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(162,plain,
$false,
inference(e,[status(thm)],[142,110,57,129,73,59,98,123,104,51,37,25,117,85,92,65,148,161,67,31,154,43,136,79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS104+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 : n019.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 19:39:48 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 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
% 1.13/1.09 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.65/1.30 % [INFO] Parsing done (203ms).
% 1.65/1.32 % [INFO] Running in sequential loop mode.
% 2.39/1.79 % [INFO] eprover registered as external prover.
% 2.63/1.80 % [INFO] Scanning for conjecture ...
% 2.63/1.86 % [INFO] 24 axioms and no conjecture found.
% 2.83/1.97 % [INFO] Problem is first-order (TPTP FOF).
% 2.83/1.98 % [INFO] Type checking passed.
% 2.83/1.99 % [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 ...
% 5.60/3.12 % External prover 'e' found a proof!
% 5.60/3.12 % [INFO] Killing All external provers ...
% 5.60/3.13 % Time passed: 2532ms (effective reasoning time: 1803ms)
% 5.60/3.13 % Axioms used in derivation (24): axiom_7, axiom_10, axiom_22, axiom_15, axiom_2, axiom_6, axiom_16, axiom_3, axiom_20, axiom_1, axiom_8, axiom_17, axiom_0, axiom_11, axiom_23, axiom_9, axiom_14, axiom_4, axiom_21, axiom_19, axiom_5, axiom_13, axiom_18, axiom_12
% 5.60/3.13 % No. of inferences in proof: 49
% 5.60/3.13 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 2532 ms resp. 1803 ms w/o parsing
% 5.97/3.25 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.97/3.25 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------