%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN328-1 : TPTP v9.3.1. Released v1.2.0.
% 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 : 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 : Sun Sep 27 09:17:13 AM UTC 2026
% Result : Unsatisfiable 3.31s 2.28s
% Output : Refutation 3.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 11
% Syntax : Number of formulae : 23 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 57 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 154 ( 28 ~; 34 |; 0 &; 92 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 22 ( 0 ^; 22 !; 0 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
thf(f_decl,type,
f: $i > $o ).
thf(y_decl,type,
y: $i > $i ).
thf(g_decl,type,
g: $i > $o ).
thf(h_decl,type,
h: $i > $o ).
thf(z_decl,type,
z: $i > $i ).
thf(1,negated_conjecture,
! [A: $i] :
( ~ ( A @ f )
| ( A @ y @ g )
| ~ ( A @ y @ f ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
thf(14,plain,
! [A: $i] :
( ~ ( A @ f )
| ( A @ y @ g )
| ~ ( A @ y @ f ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(11,negated_conjecture,
! [A: $i] :
( ~ ( A @ z @ h )
| ~ ( A @ z @ g )
| ~ ( A @ z @ f ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause11) ).
thf(20,plain,
! [A: $i] :
( ~ ( A @ z @ h )
| ~ ( A @ z @ g )
| ~ ( A @ z @ f ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(8,negated_conjecture,
! [A: $i] :
( ~ ( A @ h )
| ( A @ y @ h )
| ~ ( A @ y @ g ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
thf(21,plain,
! [A: $i] :
( ~ ( A @ h )
| ( A @ y @ h )
| ~ ( A @ y @ g ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(10,negated_conjecture,
! [A: $i] :
( ( A @ h )
| ~ ( A @ y @ h ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause10) ).
thf(13,plain,
! [A: $i] :
( ( A @ h )
| ~ ( A @ y @ h ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(2,negated_conjecture,
! [A: $i] :
( ( A @ f )
| ( A @ y @ f ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
thf(17,plain,
! [A: $i] :
( ( A @ f )
| ( A @ y @ f ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,negated_conjecture,
! [A: $i] :
( ~ ( A @ g )
| ( A @ y @ h )
| ~ ( A @ y @ f ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
thf(22,plain,
! [A: $i] :
( ~ ( A @ g )
| ( A @ y @ h )
| ~ ( A @ y @ f ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(5,negated_conjecture,
! [A: $i] :
( ( A @ g )
| ( A @ y @ f ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
thf(12,plain,
! [A: $i] :
( ( A @ g )
| ( A @ y @ f ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(7,negated_conjecture,
! [A: $i] :
( ~ ( A @ h )
| ( A @ y @ h )
| ( A @ y @ f ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).
thf(18,plain,
! [A: $i] :
( ~ ( A @ h )
| ( A @ y @ h )
| ( A @ y @ f ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(9,negated_conjecture,
! [A: $i] :
( ( A @ h )
| ( A @ y @ g )
| ~ ( A @ y @ f ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause9) ).
thf(16,plain,
! [A: $i] :
( ( A @ h )
| ( A @ y @ g )
| ~ ( A @ y @ f ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(3,negated_conjecture,
! [A: $i] :
( ( A @ f )
| ~ ( A @ y @ g ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
thf(19,plain,
! [A: $i] :
( ( A @ f )
| ~ ( A @ y @ g ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(6,negated_conjecture,
! [A: $i] :
( ( A @ g )
| ~ ( A @ y @ h ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
thf(15,plain,
! [A: $i] :
( ( A @ g )
| ~ ( A @ y @ h ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(37,plain,
$false,
inference(e,[status(thm)],[14,20,21,13,17,22,12,18,16,19,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN328-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.07 % 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
% 0.11/0.38 % Computer : n011.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sat Sep 26 17:34:59 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 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
% 0.88/0.97 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.35/1.16 % [INFO] Parsing done (179ms).
% 1.35/1.17 % [INFO] Running in sequential loop mode.
% 1.82/1.57 % [INFO] eprover registered as external prover.
% 1.82/1.58 % [INFO] Scanning for conjecture ...
% 2.03/1.68 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.21/1.73 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.21/1.73 % [INFO] Problem is propositional (TPTP CNF).
% 2.21/1.73 % [INFO] Type checking passed.
% 2.21/1.74 % [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 ...
% 3.31/2.28 % External prover 'e' found a proof!
% 3.31/2.28 % [INFO] Killing All external provers ...
% 3.31/2.28 % Time passed: 1751ms (effective reasoning time: 1105ms)
% 3.31/2.28 % Axioms used in derivation (0):
% 3.31/2.28 % No. of inferences in proof: 23
% 3.31/2.28 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1751 ms resp. 1105 ms w/o parsing
% 3.63/2.32 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.63/2.32 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------