%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN350-1 : 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 : n020.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 09:17:18 AM UTC 2026
% Result : Unsatisfiable 5.30s 3.29s
% Output : Refutation 5.63s
% 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 : 156 ( 16 ~; 20 |; 0 &; 120 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 24 ( 0 ^; 24 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
thf(f_decl,type,
f: $i > $i > $o ).
thf(a_decl,type,
a: $i ).
thf(z_decl,type,
z: $i > $i > $i ).
thf(2,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( a @ ( B @ ( A @ z ) @ f ) )
| ( B @ ( A @ z ) @ ( a @ f ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
thf(10,plain,
! [B: $i,A: $i] :
( ~ ( a @ ( B @ ( A @ z ) @ f ) )
| ( B @ ( A @ z ) @ ( a @ f ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(6,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ f ) )
| ~ ( B @ ( A @ z ) @ ( B @ f ) )
| ~ ( B @ ( A @ z ) @ ( a @ f ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
thf(9,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ f ) )
| ~ ( B @ ( A @ z ) @ ( B @ f ) )
| ~ ( B @ ( A @ z ) @ ( a @ f ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(4,negated_conjecture,
! [B: $i,A: $i] :
( ( B @ ( A @ z ) @ ( A @ f ) )
| ~ ( B @ ( A @ z ) @ ( B @ f ) )
| ~ ( B @ ( A @ z ) @ ( a @ f ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
thf(12,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ z ) @ ( A @ f ) )
| ~ ( B @ ( A @ z ) @ ( B @ f ) )
| ~ ( B @ ( A @ z ) @ ( a @ f ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(5,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ f ) )
| ( B @ ( A @ z ) @ ( B @ f ) )
| ( B @ ( A @ z ) @ ( a @ f ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
thf(7,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ f ) )
| ( B @ ( A @ z ) @ ( B @ f ) )
| ( B @ ( A @ z ) @ ( a @ f ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(3,negated_conjecture,
! [B: $i,A: $i] :
( ( B @ ( A @ z ) @ ( A @ f ) )
| ( B @ ( A @ z ) @ ( B @ f ) )
| ( B @ ( A @ z ) @ ( a @ f ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
thf(11,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ z ) @ ( A @ f ) )
| ( B @ ( A @ z ) @ ( B @ f ) )
| ( B @ ( A @ z ) @ ( a @ f ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(1,negated_conjecture,
! [B: $i,A: $i] :
( ( a @ ( B @ ( A @ z ) @ f ) )
| ~ ( B @ ( A @ z ) @ ( a @ f ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
thf(8,plain,
! [B: $i,A: $i] :
( ( a @ ( B @ ( A @ z ) @ f ) )
| ~ ( B @ ( A @ z ) @ ( a @ f ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(25,plain,
$false,
inference(e,[status(thm)],[10,9,12,7,11,8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN350-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.12 % 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
% 0.22/0.47 % Computer : n020.cluster.edu
% 0.22/0.47 % Model : x86_64 x86_64
% 0.22/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.47 % Memory : 8046.5625MB
% 0.22/0.47 % OS : Linux 6.8.0-71-generic
% 0.22/0.47 % CPULimit : 300
% 0.22/0.47 % WCLimit : 300
% 0.22/0.47 % DateTime : Sat Sep 26 17:38:18 UTC 2026
% 0.22/0.47 % CPUTime :
% 0.22/0.47 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
% 1.46/1.31 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.86/1.51 % [INFO] Parsing done (192ms).
% 1.86/1.53 % [INFO] Running in sequential loop mode.
% 2.88/2.18 % [INFO] eprover registered as external prover.
% 2.88/2.19 % [INFO] Scanning for conjecture ...
% 3.14/2.35 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 3.30/2.43 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 3.30/2.43 % [INFO] Problem is propositional (TPTP CNF).
% 3.30/2.43 % [INFO] Type checking passed.
% 3.30/2.44 % [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 ...
% 5.30/3.28 % External prover 'e' found a proof!
% 5.30/3.28 % [INFO] Killing All external provers ...
% 5.30/3.28 % Time passed: 2597ms (effective reasoning time: 1744ms)
% 5.30/3.29 % Axioms used in derivation (0):
% 5.30/3.29 % No. of inferences in proof: 13
% 5.30/3.29 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2597 ms resp. 1744 ms w/o parsing
% 5.63/3.34 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.63/3.34 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------