%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN349-1 : 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 : n005.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 5.74s 3.52s
% Output : Refutation 6.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 10
% Syntax : Number of formulae : 21 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 73 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 396 ( 36 ~; 52 |; 0 &; 308 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 40 ( 0 ^; 40 !; 0 ?; 40 :)
% Comments :
%------------------------------------------------------------------------------
thf(f_decl,type,
f: $i > $i > $o ).
thf(g_decl,type,
g: $i > $i > $i ).
thf(w_decl,type,
w: $i > $i ).
thf(6,negated_conjecture,
! [B: $i,A: $i] :
( ( A @ w @ ( B @ ( A @ g ) @ f ) )
| ( B @ ( A @ g ) @ ( B @ f ) )
| ~ ( B @ ( B @ ( A @ g ) @ f ) )
| ~ ( B @ ( A @ g ) @ ( A @ f ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
thf(14,plain,
! [B: $i,A: $i] :
( ( A @ w @ ( B @ ( A @ g ) @ f ) )
| ( B @ ( A @ g ) @ ( B @ f ) )
| ~ ( B @ ( B @ ( A @ g ) @ f ) )
| ~ ( B @ ( A @ g ) @ ( A @ f ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(4,negated_conjecture,
! [B: $i,A: $i] :
( ( A @ w @ ( B @ ( A @ g ) @ f ) )
| ~ ( B @ ( A @ g ) @ ( B @ f ) )
| ~ ( B @ ( B @ ( A @ g ) @ f ) )
| ( B @ ( A @ g ) @ ( A @ f ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
thf(20,plain,
! [B: $i,A: $i] :
( ( A @ w @ ( B @ ( A @ g ) @ f ) )
| ~ ( B @ ( A @ g ) @ ( B @ f ) )
| ~ ( B @ ( B @ ( A @ g ) @ f ) )
| ( B @ ( A @ g ) @ ( A @ f ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(1,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ g ) @ ( A @ w @ f ) )
| ( B @ ( A @ g ) @ ( A @ f ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
thf(13,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ g ) @ ( A @ w @ f ) )
| ( B @ ( A @ g ) @ ( A @ f ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(7,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( A @ w @ ( B @ ( A @ g ) @ f ) )
| ( B @ ( A @ g ) @ ( B @ f ) )
| ( B @ ( B @ ( A @ g ) @ f ) )
| ~ ( B @ ( A @ g ) @ ( A @ f ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).
thf(17,plain,
! [B: $i,A: $i] :
( ~ ( A @ w @ ( B @ ( A @ g ) @ f ) )
| ( B @ ( A @ g ) @ ( B @ f ) )
| ( B @ ( B @ ( A @ g ) @ f ) )
| ~ ( B @ ( A @ g ) @ ( A @ f ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(10,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( A @ w @ ( B @ ( A @ g ) @ f ) )
| ~ ( B @ ( A @ g ) @ ( B @ f ) )
| ~ ( B @ ( B @ ( A @ g ) @ f ) )
| ~ ( B @ ( A @ g ) @ ( A @ f ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause10) ).
thf(12,plain,
! [B: $i,A: $i] :
( ~ ( A @ w @ ( B @ ( A @ g ) @ f ) )
| ~ ( B @ ( A @ g ) @ ( B @ f ) )
| ~ ( B @ ( B @ ( A @ g ) @ f ) )
| ~ ( B @ ( A @ g ) @ ( A @ f ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(3,negated_conjecture,
! [B: $i,A: $i] :
( ( A @ w @ ( B @ ( A @ g ) @ f ) )
| ~ ( B @ ( A @ g ) @ ( B @ f ) )
| ( B @ ( B @ ( A @ g ) @ f ) )
| ~ ( B @ ( A @ g ) @ ( A @ f ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
thf(18,plain,
! [B: $i,A: $i] :
( ( A @ w @ ( B @ ( A @ g ) @ f ) )
| ~ ( B @ ( A @ g ) @ ( B @ f ) )
| ( B @ ( B @ ( A @ g ) @ f ) )
| ~ ( B @ ( A @ g ) @ ( A @ f ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(2,negated_conjecture,
! [B: $i,A: $i] :
( ( B @ ( A @ g ) @ ( A @ w @ f ) )
| ~ ( B @ ( A @ g ) @ ( A @ f ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
thf(16,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ g ) @ ( A @ w @ f ) )
| ~ ( B @ ( A @ g ) @ ( A @ f ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,negated_conjecture,
! [B: $i,A: $i] :
( ( A @ w @ ( B @ ( A @ g ) @ f ) )
| ( B @ ( A @ g ) @ ( B @ f ) )
| ( B @ ( B @ ( A @ g ) @ f ) )
| ( B @ ( A @ g ) @ ( A @ f ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
thf(11,plain,
! [B: $i,A: $i] :
( ( A @ w @ ( B @ ( A @ g ) @ f ) )
| ( B @ ( A @ g ) @ ( B @ f ) )
| ( B @ ( B @ ( A @ g ) @ f ) )
| ( B @ ( A @ g ) @ ( A @ f ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(8,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( A @ w @ ( B @ ( A @ g ) @ f ) )
| ( B @ ( A @ g ) @ ( B @ f ) )
| ~ ( B @ ( B @ ( A @ g ) @ f ) )
| ( B @ ( A @ g ) @ ( A @ f ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
thf(19,plain,
! [B: $i,A: $i] :
( ~ ( A @ w @ ( B @ ( A @ g ) @ f ) )
| ( B @ ( A @ g ) @ ( B @ f ) )
| ~ ( B @ ( B @ ( A @ g ) @ f ) )
| ( B @ ( A @ g ) @ ( A @ f ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(9,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( A @ w @ ( B @ ( A @ g ) @ f ) )
| ~ ( B @ ( A @ g ) @ ( B @ f ) )
| ( B @ ( B @ ( A @ g ) @ f ) )
| ( B @ ( A @ g ) @ ( A @ f ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause9) ).
thf(15,plain,
! [B: $i,A: $i] :
( ~ ( A @ w @ ( B @ ( A @ g ) @ f ) )
| ~ ( B @ ( A @ g ) @ ( B @ f ) )
| ( B @ ( B @ ( A @ g ) @ f ) )
| ( B @ ( A @ g ) @ ( A @ f ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(31,plain,
$false,
inference(e,[status(thm)],[14,20,13,17,12,18,16,11,19,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN349-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.14 % 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
% 0.29/0.54 % Computer : n005.cluster.edu
% 0.29/0.54 % Model : x86_64 x86_64
% 0.29/0.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.29/0.54 % Memory : 8046.5625MB
% 0.29/0.54 % OS : Linux 6.8.0-71-generic
% 0.29/0.54 % CPULimit : 300
% 0.29/0.54 % WCLimit : 300
% 0.29/0.54 % DateTime : Sat Sep 26 17:36:46 UTC 2026
% 0.29/0.54 % CPUTime :
% 0.29/0.54 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
% 1.54/1.47 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 2.09/1.75 % [INFO] Parsing done (283ms).
% 2.09/1.77 % [INFO] Running in sequential loop mode.
% 3.05/2.36 % [INFO] eprover registered as external prover.
% 3.05/2.37 % [INFO] Scanning for conjecture ...
% 3.45/2.57 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 3.65/2.66 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 3.65/2.66 % [INFO] Problem is propositional (TPTP CNF).
% 3.65/2.66 % [INFO] Type checking passed.
% 3.65/2.67 % [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 ...
% 5.74/3.51 % External prover 'e' found a proof!
% 5.74/3.52 % [INFO] Killing All external provers ...
% 5.74/3.52 % Time passed: 2752ms (effective reasoning time: 1735ms)
% 5.74/3.52 % Axioms used in derivation (0):
% 5.74/3.52 % No. of inferences in proof: 21
% 5.74/3.52 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2752 ms resp. 1735 ms w/o parsing
% 6.00/3.62 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.00/3.62 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------