%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : KRS101+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 : 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 3.74s 2.47s
% Output : Refutation 3.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 16
% Syntax : Number of formulae : 33 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 119 ( 28 equ; 0 cnn)
% Maximal formula atoms : 24 ( 3 avg)
% Number of connectives : 229 ( 16 ~; 3 |; 44 &; 127 @)
% ( 2 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 2 con; 0-2 aty)
% Number of variables : 81 ( 0 ^; 72 !; 9 ?; 81 :)
% Comments :
%------------------------------------------------------------------------------
thf(cUnsatisfiable_decl,type,
cUnsatisfiable: $i > $o ).
thf(cc_decl,type,
cc: $i > $o ).
thf(cd_decl,type,
cd: $i > $o ).
thf(cowlNothing_decl,type,
cowlNothing: $i > $o ).
thf(cowlThing_decl,type,
cowlThing: $i > $o ).
thf(rr_decl,type,
rr: $i > $i > $o ).
thf(rs_decl,type,
rs: $i > $i > $o ).
thf(xsd_integer_decl,type,
xsd_integer: $i > $o ).
thf(xsd_string_decl,type,
xsd_string: $i > $o ).
thf(i2003_11_14_17_20_36582_decl,type,
i2003_11_14_17_20_36582: $i ).
thf(15,axiom,
! [A: $i] :
( ( A @ cc )
=> ~ ( A @ cd ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
thf(115,plain,
! [A: $i] :
( ( A @ cc )
=> ~ ( A @ cd ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(12,axiom,
! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
thf(61,plain,
! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(16,axiom,
i2003_11_14_17_20_36582 @ cUnsatisfiable,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
thf(117,plain,
i2003_11_14_17_20_36582 @ cUnsatisfiable,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(10,axiom,
! [A: $i,B: $i] :
( ( ( A @ xsd_integer )
& ( A = B ) )
=> ( B @ xsd_integer ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xsd_integer_substitution_1) ).
thf(53,plain,
! [A: $i,B: $i] :
( ( ( A @ xsd_integer )
& ( A = B ) )
=> ( B @ xsd_integer ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(7,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rr ) )
& ( A = B ) )
=> ( B @ ( C @ rr ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rr_substitution_2) ).
thf(41,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rr ) )
& ( A = B ) )
=> ( B @ ( C @ rr ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(14,axiom,
! [A: $i] :
( ( A @ cUnsatisfiable )
<=> ( ? [B: $i] :
( ~ ! [C: $i,D: $i] :
( ( ( D @ ( B @ rs ) )
& ( C @ ( B @ rs ) ) )
=> ( C = D ) )
& ( B @ ( A @ rr ) ) )
& ! [B: $i] :
( ( B @ ( A @ rr ) )
=> ( ( B @ cc )
| ~ ? [C: $i,D: $i] :
( ( C != D )
& ( D @ ( B @ rs ) )
& ( C @ ( B @ rs ) ) ) ) )
& ! [B: $i] :
( ( B @ ( A @ rr ) )
=> ( B @ cd ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
thf(73,plain,
! [A: $i] :
( ( ( ? [B: $i] :
( ~ ! [C: $i,D: $i] :
( ( ( D @ ( B @ rs ) )
& ( C @ ( B @ rs ) ) )
=> ( C = D ) )
& ( B @ ( A @ rr ) ) )
& ! [B: $i] :
( ( B @ ( A @ rr ) )
=> ( ( B @ cc )
| ~ ? [C: $i,D: $i] :
( ( C != D )
& ( D @ ( B @ rs ) )
& ( C @ ( B @ rs ) ) ) ) )
& ! [B: $i] :
( ( B @ ( A @ rr ) )
=> ( B @ cd ) ) )
=> ( A @ cUnsatisfiable ) )
& ( ( A @ cUnsatisfiable )
=> ( ? [B: $i] :
( ~ ! [C: $i,D: $i] :
( ( ( D @ ( B @ rs ) )
& ( C @ ( B @ rs ) ) )
=> ( C = D ) )
& ( B @ ( A @ rr ) ) )
& ! [B: $i] :
( ( B @ ( A @ rr ) )
=> ( ( B @ cc )
| ~ ? [C: $i,D: $i] :
( ( C != D )
& ( D @ ( B @ rs ) )
& ( C @ ( B @ rs ) ) ) ) )
& ! [B: $i] :
( ( B @ ( A @ rr ) )
=> ( B @ cd ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(9,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rs ) )
& ( A = B ) )
=> ( B @ ( C @ rs ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rs_substitution_2) ).
thf(49,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rs ) )
& ( A = B ) )
=> ( B @ ( C @ rs ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(13,axiom,
! [A: $i] :
( ( A @ xsd_string )
<=> ~ ( A @ xsd_integer ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
thf(67,plain,
! [A: $i] :
( ( ~ ( A @ xsd_integer )
=> ( A @ xsd_string ) )
& ( ( A @ xsd_string )
=> ~ ( A @ xsd_integer ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(6,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rr ) )
& ( A = B ) )
=> ( C @ ( B @ rr ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rr_substitution_1) ).
thf(37,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rr ) )
& ( A = B ) )
=> ( C @ ( B @ rr ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( ( A @ cd )
& ( A = B ) )
=> ( B @ cd ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cd_substitution_1) ).
thf(25,plain,
! [A: $i,B: $i] :
( ( ( A @ cd )
& ( A = B ) )
=> ( B @ cd ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(11,axiom,
! [A: $i,B: $i] :
( ( ( A @ xsd_string )
& ( A = B ) )
=> ( B @ xsd_string ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xsd_string_substitution_1) ).
thf(57,plain,
! [A: $i,B: $i] :
( ( ( A @ xsd_string )
& ( A = B ) )
=> ( B @ xsd_string ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( ( A @ cowlNothing )
& ( A = B ) )
=> ( B @ cowlNothing ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cowlNothing_substitution_1) ).
thf(29,plain,
! [A: $i,B: $i] :
( ( ( A @ cowlNothing )
& ( A = B ) )
=> ( B @ cowlNothing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(2,axiom,
! [A: $i,B: $i] :
( ( ( A @ cc )
& ( A = B ) )
=> ( B @ cc ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc_substitution_1) ).
thf(21,plain,
! [A: $i,B: $i] :
( ( ( A @ cc )
& ( A = B ) )
=> ( B @ cc ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( ( A @ cowlThing )
& ( A = B ) )
=> ( B @ cowlThing ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cowlThing_substitution_1) ).
thf(33,plain,
! [A: $i,B: $i] :
( ( ( A @ cowlThing )
& ( A = B ) )
=> ( B @ cowlThing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(8,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rs ) )
& ( A = B ) )
=> ( C @ ( B @ rs ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rs_substitution_1) ).
thf(45,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rs ) )
& ( A = B ) )
=> ( C @ ( B @ rs ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(1,axiom,
! [A: $i,B: $i] :
( ( ( A @ cUnsatisfiable )
& ( A = B ) )
=> ( B @ cUnsatisfiable ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cUnsatisfiable_substitution_1) ).
thf(17,plain,
! [A: $i,B: $i] :
( ( ( A @ cUnsatisfiable )
& ( A = B ) )
=> ( B @ cUnsatisfiable ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(118,plain,
$false,
inference(e,[status(thm)],[115,61,117,53,41,73,49,67,37,25,57,29,21,33,45,17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS101+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % 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
% 0.11/0.37 % Computer : n019.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Fri Sep 25 19:39:33 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 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
% 0.85/0.95 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.25/1.13 % [INFO] Parsing done (179ms).
% 1.25/1.15 % [INFO] Running in sequential loop mode.
% 1.83/1.55 % [INFO] eprover registered as external prover.
% 1.83/1.55 % [INFO] Scanning for conjecture ...
% 2.02/1.60 % [INFO] 16 axioms and no conjecture found.
% 2.02/1.69 % [INFO] Problem is first-order (TPTP FOF).
% 2.19/1.70 % [INFO] Type checking passed.
% 2.19/1.70 % [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 ...
% 3.74/2.47 % External prover 'e' found a proof!
% 3.74/2.47 % [INFO] Killing All external provers ...
% 3.74/2.47 % Time passed: 1953ms (effective reasoning time: 1317ms)
% 3.74/2.47 % Axioms used in derivation (16): cowlNothing_substitution_1, cc_substitution_1, rr_substitution_1, axiom_2, xsd_string_substitution_1, axiom_3, cUnsatisfiable_substitution_1, rs_substitution_2, axiom_0, axiom_4, cowlThing_substitution_1, cd_substitution_1, axiom_1, xsd_integer_substitution_1, rs_substitution_1, rr_substitution_2
% 3.74/2.47 % No. of inferences in proof: 33
% 3.74/2.47 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1953 ms resp. 1317 ms w/o parsing
% 3.99/2.53 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.99/2.53 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------