%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWV817-1 : TPTP v9.3.1. Released v4.1.0.
% 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 : n012.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 09:00:41 AM UTC 2026
% Result : Unsatisfiable 1.62s 11.20s
% Output : Refutation 1.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 7
% Syntax : Number of formulae : 15 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 21 ( 12 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 22 ( 8 ~; 6 |; 0 &; 8 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 8 con; 0-2 aty)
% Number of variables : 10 ( 0 ^; 10 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_Hoare__Mirabelle_Ostate__not__singleton_decl,type,
c_Hoare__Mirabelle_Ostate__not__singleton: $o ).
thf(v_x_decl,type,
v_x: $i ).
thf(c_Fun_Oid_decl,type,
c_Fun_Oid: $i > $i > $i ).
thf(t_a_decl,type,
t_a: $i ).
thf(v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1_decl,type,
v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1: $i ).
thf(v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2_decl,type,
v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2: $i ).
thf(v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1_decl,type,
v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1: $i ).
thf(v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2_decl,type,
v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2: $i ).
thf(7,axiom,
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| ( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_state__not__singleton__def_0) ).
thf(21,plain,
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| ( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(2,negated_conjecture,
! [A: $i] : ( A = v_x ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
thf(9,plain,
! [A: $i] : ( A = v_x ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,axiom,
( ( t_a @ ( v_x @ c_Fun_Oid ) )
= v_x ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_id__def_0) ).
thf(13,plain,
( ( t_a @ ( v_x @ c_Fun_Oid ) )
= v_x ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(6,axiom,
! [B: $i,A: $i] :
( ( A = B )
| c_Hoare__Mirabelle_Ostate__not__singleton ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_state__not__singleton__def_1) ).
thf(18,plain,
! [B: $i,A: $i] :
( ( A = B )
| c_Hoare__Mirabelle_Ostate__not__singleton ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(3,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ c_Fun_Oid ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_id__apply_0) ).
thf(11,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ c_Fun_Oid ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(1,negated_conjecture,
c_Hoare__Mirabelle_Ostate__not__singleton,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(8,plain,
c_Hoare__Mirabelle_Ostate__not__singleton,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(5,axiom,
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| ( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_state__not__singleton__def__raw_0) ).
thf(15,plain,
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| ( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(24,plain,
$false,
inference(e,[status(thm)],[21,9,13,18,11,8,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWV817-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % 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
% 0.07/10.35 % Computer : n012.cluster.edu
% 0.07/10.35 % Model : x86_64 x86_64
% 0.07/10.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/10.35 % Memory : 8046.5625MB
% 0.07/10.35 % OS : Linux 6.8.0-71-generic
% 0.07/10.35 % CPULimit : 300
% 0.07/10.35 % WCLimit : 300
% 0.07/10.35 % DateTime : Sat Sep 26 15:00:46 UTC 2026
% 0.07/10.35 % CPUTime :
% 0.07/10.35 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
% 0.09/10.62 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.09/10.71 % [INFO] Parsing done (83ms).
% 0.09/10.72 % [INFO] Running in sequential loop mode.
% 0.09/10.89 % [INFO] eprover registered as external prover.
% 0.09/10.90 % [INFO] Scanning for conjecture ...
% 0.09/10.93 % [INFO] Found a conjecture (or negated_conjecture) and 5 axioms. Running axiom selection ...
% 0.09/10.95 % [INFO] Axiom selection finished. Selected 5 axioms (removed 0 axioms).
% 0.09/10.96 % [INFO] Problem is propositional (TPTP CNF).
% 0.09/10.96 % [INFO] Type checking passed.
% 0.09/10.96 % [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 ...
% 1.15/11.04 % [INFO] [Domain constraints] Detected constraint on $i
% 1.15/11.04 % [INFO] [Domain constraints] dom($i) ⊆ {v_x}
% 1.62/11.20 % External prover 'e' found a proof!
% 1.62/11.20 % [INFO] Killing All external provers ...
% 1.62/11.20 % Time passed: 771ms (effective reasoning time: 478ms)
% 1.62/11.20 % Axioms used in derivation (5): cls_id__apply_0, cls_state__not__singleton__def_1, cls_id__def_0, cls_state__not__singleton__def_0, cls_state__not__singleton__def__raw_0
% 1.62/11.20 % No. of inferences in proof: 15
% 1.62/11.20 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 771 ms resp. 478 ms w/o parsing
% 1.62/11.22 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 1.62/11.22 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------