%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : KRS082+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 : n017.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 07:44:36 AM UTC 2026
% Result : Unsatisfiable 5.83s 3.44s
% Output : Refutation 6.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 10
% Syntax : Number of formulae : 21 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 90 ( 0 equ; 0 cnn)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 219 ( 8 ~; 0 |; 29 &; 142 @)
% ( 5 <=>; 35 =>; 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 : 15 ( 14 usr; 2 con; 0-2 aty)
% Number of variables : 57 ( 0 ^; 47 !; 10 ?; 57 :)
% 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(rs_decl,type,
rs: $i > $i > $o ).
thf(rp_decl,type,
rp: $i > $i > $o ).
thf(rr_decl,type,
rr: $i > $i > $o ).
thf(cc_decl,type,
cc: $i > $o ).
thf(ca_decl,type,
ca: $i > $o ).
thf(rinvR_decl,type,
rinvR: $i > $i > $o ).
thf(rinvP_decl,type,
rinvP: $i > $i > $o ).
thf(rinvS_decl,type,
rinvS: $i > $i > $o ).
thf(i2003_11_14_17_19_28752_decl,type,
i2003_11_14_17_19_28752: $i ).
thf(7,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ rinvR ) )
<=> ( A @ ( B @ rr ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
thf(61,plain,
! [A: $i,B: $i] :
( ( ( A @ ( B @ rr ) )
=> ( B @ ( A @ rinvR ) ) )
& ( ( B @ ( A @ rinvR ) )
=> ( A @ ( B @ rr ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(4,axiom,
! [A: $i] :
( ( A @ cUnsatisfiable )
=> ( A @ ca ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
thf(41,plain,
! [A: $i] :
( ( A @ cUnsatisfiable )
=> ( A @ ca ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(9,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ rp ) )
& ( B @ ( A @ rp ) ) )
=> ( C @ ( A @ rp ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
thf(73,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ rp ) )
& ( B @ ( A @ rp ) ) )
=> ( C @ ( A @ rp ) ) ),
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(17,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(8,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ rinvS ) )
<=> ( A @ ( B @ rs ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
thf(67,plain,
! [A: $i,B: $i] :
( ( ( A @ ( B @ rs ) )
=> ( B @ ( A @ rinvS ) ) )
& ( ( B @ ( A @ rinvS ) )
=> ( A @ ( B @ rs ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(10,axiom,
i2003_11_14_17_19_28752 @ cUnsatisfiable,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
thf(75,plain,
i2003_11_14_17_19_28752 @ cUnsatisfiable,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(1,axiom,
! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
thf(11,plain,
! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(5,axiom,
! [A: $i] :
( ( A @ cc )
<=> ! [B: $i] :
( ( B @ ( A @ rinvR ) )
=> ! [C: $i] :
( ( C @ ( B @ rinvP ) )
=> ! [D: $i] :
( ( D @ ( C @ rinvS ) )
=> ~ ( D @ ca ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
thf(43,plain,
! [A: $i] :
( ( ! [B: $i] :
( ( B @ ( A @ rinvR ) )
=> ! [C: $i] :
( ( C @ ( B @ rinvP ) )
=> ! [D: $i] :
( ( D @ ( C @ rinvS ) )
=> ~ ( D @ ca ) ) ) )
=> ( A @ cc ) )
& ( ( A @ cc )
=> ! [B: $i] :
( ( B @ ( A @ rinvR ) )
=> ! [C: $i] :
( ( C @ ( B @ rinvP ) )
=> ! [D: $i] :
( ( D @ ( C @ rinvS ) )
=> ~ ( D @ ca ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(6,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ rinvP ) )
<=> ( A @ ( B @ rp ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
thf(55,plain,
! [A: $i,B: $i] :
( ( ( A @ ( B @ rp ) )
=> ( B @ ( A @ rinvP ) ) )
& ( ( B @ ( A @ rinvP ) )
=> ( A @ ( B @ rp ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(3,axiom,
! [A: $i] :
( ( A @ cUnsatisfiable )
=> ? [B: $i] :
( ? [C: $i] :
( ( C @ cowlThing )
& ( C @ ( B @ rr ) ) )
& ! [C: $i] :
( ( C @ ( B @ rp ) )
=> ! [D: $i] :
( ( D @ ( C @ rr ) )
=> ( D @ cc ) ) )
& ! [C: $i] :
( ( C @ ( B @ rp ) )
=> ? [D: $i] :
( ( D @ cowlThing )
& ( D @ ( C @ rp ) ) ) )
& ! [C: $i] :
( ( C @ ( B @ rp ) )
=> ? [D: $i] :
( ( D @ cowlThing )
& ( D @ ( C @ rr ) ) ) )
& ! [C: $i] :
( ( C @ ( B @ rr ) )
=> ( C @ cc ) )
& ? [C: $i] :
( ( C @ cowlThing )
& ( C @ ( B @ rp ) ) )
& ( B @ ( A @ rs ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
thf(23,plain,
! [A: $i] :
( ( A @ cUnsatisfiable )
=> ? [B: $i] :
( ? [C: $i] :
( ( C @ cowlThing )
& ( C @ ( B @ rr ) ) )
& ! [C: $i] :
( ( C @ ( B @ rp ) )
=> ! [D: $i] :
( ( D @ ( C @ rr ) )
=> ( D @ cc ) ) )
& ! [C: $i] :
( ( C @ ( B @ rp ) )
=> ? [D: $i] :
( ( D @ cowlThing )
& ( D @ ( C @ rp ) ) ) )
& ! [C: $i] :
( ( C @ ( B @ rp ) )
=> ? [D: $i] :
( ( D @ cowlThing )
& ( D @ ( C @ rr ) ) ) )
& ! [C: $i] :
( ( C @ ( B @ rr ) )
=> ( C @ cc ) )
& ? [C: $i] :
( ( C @ cowlThing )
& ( C @ ( B @ rp ) ) )
& ( B @ ( A @ rs ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(76,plain,
$false,
inference(e,[status(thm)],[61,41,73,17,67,75,11,43,55,23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KRS082+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.12 % 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
% 0.24/0.46 % Computer : n017.cluster.edu
% 0.24/0.46 % Model : x86_64 x86_64
% 0.24/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.24/0.46 % Memory : 8046.5625MB
% 0.24/0.46 % OS : Linux 6.8.0-71-generic
% 0.24/0.46 % CPULimit : 300
% 0.24/0.46 % WCLimit : 300
% 0.24/0.46 % DateTime : Fri Sep 25 19:34:02 UTC 2026
% 0.24/0.47 % CPUTime :
% 0.24/0.47 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
% 1.40/1.30 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.76/1.57 % [INFO] Parsing done (265ms).
% 1.76/1.59 % [INFO] Running in sequential loop mode.
% 2.88/2.18 % [INFO] eprover registered as external prover.
% 2.88/2.19 % [INFO] Scanning for conjecture ...
% 2.98/2.26 % [INFO] 10 axioms and no conjecture found.
% 3.19/2.38 % [INFO] Problem is first-order (TPTP FOF).
% 3.19/2.39 % [INFO] Type checking passed.
% 3.19/2.39 % [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 ...
% 5.83/3.43 % External prover 'e' found a proof!
% 5.83/3.43 % [INFO] Killing All external provers ...
% 5.83/3.44 % Time passed: 2749ms (effective reasoning time: 1837ms)
% 5.83/3.44 % Axioms used in derivation (10): axiom_7, axiom_2, axiom_6, axiom_3, axiom_1, axiom_8, axiom_5, axiom_0, axiom_9, axiom_4
% 5.83/3.44 % No. of inferences in proof: 21
% 5.83/3.44 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 2749 ms resp. 1837 ms w/o parsing
% 6.05/3.52 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.05/3.52 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------