%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : KRS089+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 : n009.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 07:44:37 AM UTC 2026
% Result : Unsatisfiable 4.59s 2.88s
% Output : Refutation 4.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 19
% Syntax : Number of formulae : 39 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 119 ( 36 equ; 0 cnn)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 217 ( 11 ~; 4 |; 42 &; 126 @)
% ( 2 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 82 ( 0 ^; 74 !; 8 ?; 82 :)
% Comments :
%------------------------------------------------------------------------------
thf(cUnsatisfiable_decl,type,
cUnsatisfiable: $i > $o ).
thf(cowlNothing_decl,type,
cowlNothing: $i > $o ).
thf(cowlThing_decl,type,
cowlThing: $i > $o ).
thf(rinvP_decl,type,
rinvP: $i > $i > $o ).
thf(rp_decl,type,
rp: $i > $i > $o ).
thf(rr_decl,type,
rr: $i > $i > $o ).
thf(xsd_integer_decl,type,
xsd_integer: $i > $o ).
thf(xsd_string_decl,type,
xsd_string: $i > $o ).
thf(ispy_decl,type,
ispy: $i ).
thf(i2003_11_14_17_19_53168_decl,type,
i2003_11_14_17_19_53168: $i ).
thf(15,axiom,
! [A: $i] :
( ( A @ cowlThing )
=> ? [B: $i] :
( ( B = ispy )
& ( B @ ( A @ rp ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
thf(88,plain,
! [A: $i] :
( ( A @ cowlThing )
=> ? [B: $i] :
( ( B = ispy )
& ( B @ ( A @ rp ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
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(56,plain,
! [A: $i,B: $i] :
( ( ( A @ xsd_integer )
& ( A = B ) )
=> ( B @ xsd_integer ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(2,axiom,
! [A: $i,B: $i] :
( ( ( A @ cowlNothing )
& ( A = B ) )
=> ( B @ cowlNothing ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cowlNothing_substitution_1) ).
thf(24,plain,
! [A: $i,B: $i] :
( ( ( A @ cowlNothing )
& ( A = B ) )
=> ( B @ cowlNothing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(9,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(52,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rr ) )
& ( A = B ) )
=> ( B @ ( C @ rr ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(7,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rp ) )
& ( A = B ) )
=> ( B @ ( C @ rp ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rp_substitution_2) ).
thf(44,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rp ) )
& ( A = B ) )
=> ( B @ ( C @ rp ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(14,axiom,
! [A: $i] :
( ( A @ cUnsatisfiable )
=> ? [B: $i,C: $i,D: $i] :
( ( C != D )
& ( B != D )
& ( B != C )
& ( D @ ( A @ rr ) )
& ( C @ ( A @ rr ) )
& ( B @ ( A @ rr ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
thf(76,plain,
! [A: $i] :
( ( A @ cUnsatisfiable )
=> ? [B: $i,C: $i,D: $i] :
( ( C != D )
& ( B != D )
& ( B != C )
& ( D @ ( A @ rr ) )
& ( C @ ( A @ rr ) )
& ( B @ ( A @ rr ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(19,axiom,
i2003_11_14_17_19_53168 @ cUnsatisfiable,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
thf(103,plain,
i2003_11_14_17_19_53168 @ cUnsatisfiable,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(8,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(48,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rr ) )
& ( A = B ) )
=> ( C @ ( B @ rr ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(17,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( ispy @ rinvP ) )
& ( B @ ( ispy @ rinvP ) )
& ( A @ ( ispy @ rinvP ) ) )
=> ( ( B = C )
| ( A = C )
| ( A = B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
thf(99,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( ispy @ rinvP ) )
& ( B @ ( ispy @ rinvP ) )
& ( A @ ( ispy @ rinvP ) ) )
=> ( ( B = C )
| ( A = C )
| ( A = B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(6,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rp ) )
& ( A = B ) )
=> ( C @ ( B @ rp ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rp_substitution_1) ).
thf(40,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rp ) )
& ( A = B ) )
=> ( C @ ( B @ rp ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(5,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rinvP ) )
& ( A = B ) )
=> ( B @ ( C @ rinvP ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rinvP_substitution_2) ).
thf(36,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rinvP ) )
& ( A = B ) )
=> ( B @ ( C @ rinvP ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(1,axiom,
! [A: $i,B: $i] :
( ( ( A @ cUnsatisfiable )
& ( A = B ) )
=> ( B @ cUnsatisfiable ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cUnsatisfiable_substitution_1) ).
thf(20,plain,
! [A: $i,B: $i] :
( ( ( A @ cUnsatisfiable )
& ( A = B ) )
=> ( B @ cUnsatisfiable ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(16,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ rp ) )
<=> ( A @ ( B @ rinvP ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
thf(93,plain,
! [A: $i,B: $i] :
( ( ( A @ ( B @ rinvP ) )
=> ( B @ ( A @ rp ) ) )
& ( ( B @ ( A @ rp ) )
=> ( A @ ( B @ rinvP ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
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(60,plain,
! [A: $i,B: $i] :
( ( ( A @ xsd_string )
& ( A = B ) )
=> ( B @ xsd_string ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(18,axiom,
ispy @ cowlThing,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
thf(102,plain,
ispy @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( ( A @ cowlThing )
& ( A = B ) )
=> ( B @ cowlThing ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cowlThing_substitution_1) ).
thf(28,plain,
! [A: $i,B: $i] :
( ( ( A @ cowlThing )
& ( A = B ) )
=> ( B @ cowlThing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(13,axiom,
! [A: $i] :
( ( A @ xsd_string )
<=> ~ ( A @ xsd_integer ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
thf(70,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(4,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rinvP ) )
& ( A = B ) )
=> ( C @ ( B @ rinvP ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rinvP_substitution_1) ).
thf(32,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rinvP ) )
& ( A = B ) )
=> ( C @ ( B @ rinvP ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(12,axiom,
! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
thf(64,plain,
! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(104,plain,
$false,
inference(e,[status(thm)],[88,56,24,52,44,76,103,48,99,40,36,20,93,60,102,28,70,32,64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS089+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.08 % 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
% 0.13/0.39 % Computer : n009.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 19:39:14 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 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
% 1.34/1.25 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.85/1.53 % [INFO] Parsing done (281ms).
% 1.85/1.55 % [INFO] Running in sequential loop mode.
% 2.55/1.96 % [INFO] eprover registered as external prover.
% 2.55/1.97 % [INFO] Scanning for conjecture ...
% 2.55/2.01 % [INFO] 19 axioms and no conjecture found.
% 2.82/2.10 % [INFO] Problem is first-order (TPTP FOF).
% 2.82/2.11 % [INFO] Type checking passed.
% 2.82/2.11 % [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 ...
% 4.59/2.88 % External prover 'e' found a proof!
% 4.59/2.88 % [INFO] Killing All external provers ...
% 4.59/2.88 % Time passed: 2279ms (effective reasoning time: 1324ms)
% 4.59/2.88 % Axioms used in derivation (19): rr_substitution_1, xsd_string_substitution_1, axiom_6, cowlThing_substitution_1, axiom_3, cUnsatisfiable_substitution_1, rinvP_substitution_1, axiom_5, axiom_0, rp_substitution_1, rr_substitution_2, axiom_4, axiom_7, cowlNothing_substitution_1, axiom_2, rinvP_substitution_2, rp_substitution_2, axiom_1, xsd_integer_substitution_1
% 4.59/2.88 % No. of inferences in proof: 39
% 4.59/2.88 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2279 ms resp. 1324 ms w/o parsing
% 4.86/2.94 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.86/2.94 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------