%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWV239-2 : TPTP v9.3.1. Released v3.2.0.
% 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 : n001.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 08:58:30 AM UTC 2026
% Result : Unsatisfiable 2.69s 1.50s
% Output : Refutation 2.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of formulae : 13 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 23 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 160 ( 10 ~; 10 |; 0 &; 140 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 28 ( 0 ^; 28 !; 0 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_lessequals_decl,type,
c_lessequals: $i > $i > $i > $o ).
thf(c_Message_Oanalz_decl,type,
c_Message_Oanalz: $i > $i ).
thf(c_union_decl,type,
c_union: $i > $i > $i > $i ).
thf(v_G_decl,type,
v_G: $i ).
thf(v_H_decl,type,
v_H: $i ).
thf(tc_Message_Omsg_decl,type,
tc_Message_Omsg: $i ).
thf(tc_set_decl,type,
tc_set: $i > $i ).
thf(c_in_decl,type,
c_in: $i > $i > $i > $o ).
thf(c_Main_OsubsetI__1_decl,type,
c_Main_OsubsetI__1: $i > $i > $i > $i ).
thf(2,axiom,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Oanalz @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__analzD__dest_0) ).
thf(9,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ ( A @ c_in ) ) )
| ~ ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Oanalz @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ tc_set @ ( B @ ( A @ c_lessequals ) ) )
| ( C @ ( A @ ( C @ ( B @ ( A @ c_Main_OsubsetI__1 ) ) @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
thf(13,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ tc_set @ ( B @ ( A @ c_lessequals ) ) )
| ( C @ ( A @ ( C @ ( B @ ( A @ c_Main_OsubsetI__1 ) ) @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(6,axiom,
! [B: $i,A: $i] : ( B @ tc_set @ ( A @ ( A @ c_lessequals ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).
thf(17,plain,
! [B: $i,A: $i] : ( B @ tc_set @ ( A @ ( A @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(1,negated_conjecture,
~ ( tc_Message_Omsg @ tc_set @ ( tc_Message_Omsg @ ( v_H @ ( v_G @ c_union ) ) @ c_Message_Oanalz @ ( tc_Message_Omsg @ ( v_H @ ( v_G @ c_Message_Oanalz @ c_union ) ) @ c_Message_Oanalz @ c_lessequals ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(7,plain,
~ ( tc_Message_Omsg @ tc_set @ ( tc_Message_Omsg @ ( v_H @ ( v_G @ c_union ) ) @ c_Message_Oanalz @ ( tc_Message_Omsg @ ( v_H @ ( v_G @ c_Message_Oanalz @ c_union ) ) @ c_Message_Oanalz @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(3,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ tc_set @ ( tc_Message_Omsg @ ( B @ ( D @ c_union ) ) @ c_Message_Oanalz @ ( tc_Message_Omsg @ ( A @ ( C @ c_union ) ) @ c_Message_Oanalz @ c_lessequals ) ) )
| ~ ( tc_Message_Omsg @ tc_set @ ( D @ c_Message_Oanalz @ ( C @ c_Message_Oanalz @ c_lessequals ) ) )
| ~ ( tc_Message_Omsg @ tc_set @ ( B @ c_Message_Oanalz @ ( A @ c_Message_Oanalz @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__subset__cong_0) ).
thf(11,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( tc_Message_Omsg @ tc_set @ ( tc_Message_Omsg @ ( B @ ( D @ c_union ) ) @ c_Message_Oanalz @ ( tc_Message_Omsg @ ( A @ ( C @ c_union ) ) @ c_Message_Oanalz @ c_lessequals ) ) )
| ~ ( tc_Message_Omsg @ tc_set @ ( D @ c_Message_Oanalz @ ( C @ c_Message_Oanalz @ c_lessequals ) ) )
| ~ ( tc_Message_Omsg @ tc_set @ ( B @ c_Message_Oanalz @ ( A @ c_Message_Oanalz @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(5,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ tc_set @ ( B @ ( A @ c_lessequals ) ) )
| ~ ( C @ ( B @ ( C @ ( B @ ( A @ c_Main_OsubsetI__1 ) ) @ c_in ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
thf(15,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ tc_set @ ( B @ ( A @ c_lessequals ) ) )
| ~ ( C @ ( B @ ( C @ ( B @ ( A @ c_Main_OsubsetI__1 ) ) @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(18,plain,
$false,
inference(e,[status(thm)],[9,13,17,7,11,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV239-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07 % 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
% 0.11/0.39 % Computer : n001.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sat Sep 26 13:27:43 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 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
% 0.70/0.70 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.70/0.79 % [INFO] Parsing done (87ms).
% 0.94/0.80 % [INFO] Running in sequential loop mode.
% 1.13/1.00 % [INFO] eprover registered as external prover.
% 1.13/1.00 % [INFO] Scanning for conjecture ...
% 1.44/1.05 % [INFO] Found a conjecture (or negated_conjecture) and 5 axioms. Running axiom selection ...
% 1.44/1.06 % [INFO] Axiom selection finished. Selected 5 axioms (removed 0 axioms).
% 1.44/1.07 % [INFO] Problem is propositional (TPTP CNF).
% 1.44/1.07 % [INFO] Type checking passed.
% 1.44/1.07 % [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 ...
% 2.69/1.50 % External prover 'e' found a proof!
% 2.69/1.50 % [INFO] Killing All external provers ...
% 2.69/1.50 % Time passed: 1006ms (effective reasoning time: 700ms)
% 2.69/1.50 % Axioms used in derivation (5): cls_Set_Osubset__refl_0, cls_Set_OsubsetI_0, cls_Message_Oanalz__subset__cong_0, cls_Message_Oanalz__analzD__dest_0, cls_Set_OsubsetI_1
% 2.69/1.50 % No. of inferences in proof: 13
% 2.69/1.50 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1006 ms resp. 700 ms w/o parsing
% 2.69/1.55 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.69/1.55 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------