%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWW469^1 : TPTP v9.3.1. Released v5.3.0.
% 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 : n011.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 : Wed Sep 30 08:40:13 AM UTC 2026
% Result : Theorem 3.06s 2.02s
% Output : Refutation 3.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of formulae : 14 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 18 ( 7 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 9 ( 9 ~; 0 |; 0 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 4 con; 0-2 aty)
% Number of variables : 10 ( 0 ^; 6 !; 4 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
thf(state_type,type,
state: $tType ).
thf(induct_false_decl,type,
induct_false: $o ).
thf(induct_true_decl,type,
induct_true: $o ).
thf(hoare_1821564147gleton_decl,type,
hoare_1821564147gleton: $o ).
thf(4,axiom,
~ induct_false,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_induct__false__def) ).
thf(14,plain,
~ induct_false,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(6,axiom,
induct_true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_induct__true__def) ).
thf(17,plain,
induct_true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(3,axiom,
( hoare_1821564147gleton
= ( ? [A: state,B: state] : ( A != B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_state__not__singleton__def) ).
thf(12,plain,
( hoare_1821564147gleton
= ( ? [A: state,B: state] : ( A != B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(7,axiom,
hoare_1821564147gleton,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(18,plain,
hoare_1821564147gleton,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(5,axiom,
induct_true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_induct__trueI) ).
thf(16,plain,
induct_true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(1,conjecture,
! [A: state] :
~ ! [B: state] : ( B = A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
thf(2,negated_conjecture,
~ ! [A: state] :
~ ! [B: state] : ( B = A ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(8,plain,
~ ! [A: state] :
~ ! [B: state] : ( B = A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(19,plain,
$false,
inference(e,[status(thm)],[14,17,12,18,16,8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW469^1 : TPTP v9.3.1. Released v5.3.0.
% 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
% 0.09/0.20 % Computer : n011.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Tue Sep 29 16:04:46 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 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
% 0.90/0.78 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.26/0.97 % [INFO] Parsing done (186ms).
% 1.26/0.99 % [INFO] Running in sequential loop mode.
% 1.85/1.39 % [INFO] eprover registered as external prover.
% 2.05/1.40 % [INFO] Scanning for conjecture ...
% 2.05/1.48 % [INFO] Found a conjecture (or negated_conjecture) and 5 axioms. Running axiom selection ...
% 2.23/1.51 % [INFO] Axiom selection finished. Selected 5 axioms (removed 0 axioms).
% 2.23/1.52 % [INFO] Problem is higher-order (TPTP THF).
% 2.23/1.52 % [INFO] Type checking passed.
% 2.23/1.53 % [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 ...
% 2.39/1.67 % [INFO] [Domain constraints] Detected constraint on state
% 2.39/1.67 % [INFO] [Domain constraints] dom(state) ⊆ {sk1}
% 3.06/2.01 % External prover 'e' found a proof!
% 3.06/2.01 % [INFO] Killing All external provers ...
% 3.06/2.01 % Time passed: 1671ms (effective reasoning time: 1019ms)
% 3.06/2.01 % Solved by 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)>
% 3.06/2.02 % Axioms used in derivation (5): fact_0_state__not__singleton__def, fact_3_induct__true__def, fact_1_induct__false__def, conj_0, fact_2_induct__trueI
% 3.06/2.02 % No. of inferences in proof: 14
% 3.06/2.02 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1671 ms resp. 1019 ms w/o parsing
% 3.41/2.05 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.41/2.05 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------