%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SET047-5 : TPTP v9.3.1. Released v1.0.0.
% 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 : n026.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 08:29:04 AM UTC 2026
% Result : Unsatisfiable 4.71s 2.94s
% Output : Refutation 4.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of formulae : 13 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 33 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 116 ( 16 ~; 20 |; 0 &; 80 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 20 ( 0 ^; 20 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
thf(set_equal_decl,type,
set_equal: $i > $i > $o ).
thf(a_decl,type,
a: $i ).
thf(b_decl,type,
b: $i ).
thf(element_decl,type,
element: $i > $i > $o ).
thf(f_decl,type,
f: $i > $i > $i ).
thf(4,axiom,
! [C: $i,B: $i,A: $i] :
( ( A @ ( C @ element ) )
| ~ ( B @ ( C @ element ) )
| ~ ( B @ ( A @ set_equal ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_substitution2) ).
thf(13,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( C @ element ) )
| ~ ( B @ ( C @ element ) )
| ~ ( B @ ( A @ set_equal ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(6,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ set_equal ) )
| ~ ( A @ ( B @ ( A @ f ) @ element ) )
| ~ ( B @ ( B @ ( A @ f ) @ element ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
thf(17,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ set_equal ) )
| ~ ( A @ ( B @ ( A @ f ) @ element ) )
| ~ ( B @ ( B @ ( A @ f ) @ element ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(1,negated_conjecture,
( ( a @ ( b @ set_equal ) )
| ( b @ ( a @ set_equal ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_symmetry1) ).
thf(7,plain,
( ( a @ ( b @ set_equal ) )
| ( b @ ( a @ set_equal ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(3,axiom,
! [C: $i,B: $i,A: $i] :
( ( B @ ( C @ element ) )
| ~ ( A @ ( C @ element ) )
| ~ ( B @ ( A @ set_equal ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_substitution1) ).
thf(11,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( C @ element ) )
| ~ ( A @ ( C @ element ) )
| ~ ( B @ ( A @ set_equal ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(2,negated_conjecture,
( ~ ( b @ ( a @ set_equal ) )
| ~ ( a @ ( b @ set_equal ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_symmetry2) ).
thf(8,plain,
( ~ ( b @ ( a @ set_equal ) )
| ~ ( a @ ( b @ set_equal ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ set_equal ) )
| ( B @ ( B @ ( A @ f ) @ element ) )
| ( A @ ( B @ ( A @ f ) @ element ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
thf(15,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ set_equal ) )
| ( B @ ( B @ ( A @ f ) @ element ) )
| ( A @ ( B @ ( A @ f ) @ element ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(23,plain,
$false,
inference(e,[status(thm)],[13,17,7,11,8,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET047-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.11 % 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
% 0.23/0.49 % Computer : n026.cluster.edu
% 0.23/0.49 % Model : x86_64 x86_64
% 0.23/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/0.49 % Memory : 8046.5625MB
% 0.23/0.49 % OS : Linux 6.8.0-71-generic
% 0.23/0.49 % CPULimit : 300
% 0.23/0.49 % WCLimit : 300
% 0.23/0.49 % DateTime : Sat Sep 26 07:02:41 UTC 2026
% 0.23/0.50 % CPUTime :
% 0.23/0.50 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
% 1.41/1.35 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.92/1.60 % [INFO] Parsing done (250ms).
% 1.92/1.62 % [INFO] Running in sequential loop mode.
% 2.75/2.17 % [INFO] eprover registered as external prover.
% 2.75/2.18 % [INFO] Scanning for conjecture ...
% 2.86/2.27 % [INFO] Found a conjecture (or negated_conjecture) and 4 axioms. Running axiom selection ...
% 3.04/2.30 % [INFO] Axiom selection finished. Selected 4 axioms (removed 0 axioms).
% 3.04/2.31 % [INFO] Problem is propositional (TPTP CNF).
% 3.04/2.31 % [INFO] Type checking passed.
% 3.04/2.32 % [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 ...
% 4.71/2.93 % External prover 'e' found a proof!
% 4.71/2.93 % [INFO] Killing All external provers ...
% 4.71/2.93 % Time passed: 2223ms (effective reasoning time: 1298ms)
% 4.71/2.93 % Axioms used in derivation (4): element_substitution2, clause_4, element_substitution1, clause_3
% 4.71/2.93 % No. of inferences in proof: 13
% 4.71/2.94 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 2223 ms resp. 1298 ms w/o parsing
% 4.71/2.99 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.71/2.99 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------