%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN059+1 : TPTP v9.3.1. Released v2.0.0.
% 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 : n019.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 09:16:40 AM UTC 2026
% Result : Theorem 3.08s 2.44s
% Output : Refutation 3.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 37 ( 0 equ; 0 cnn)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 67 ( 2 ~; 0 |; 13 &; 36 @)
% ( 2 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 20 ( 0 ^; 16 !; 4 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
thf(big_f_decl,type,
big_f: $i > $o ).
thf(big_h_decl,type,
big_h: $i > $o ).
thf(big_g_decl,type,
big_g: $i > $o ).
thf(big_j_decl,type,
big_j: $i > $o ).
thf(1,conjecture,
( ( ! [A: $i] :
( ( A @ big_g )
=> ( A @ big_j ) )
& ! [A: $i] :
( ( A @ big_f )
=> ( A @ big_h ) ) )
<=> ! [A: $i,B: $i] :
( ( ( B @ big_g )
& ( A @ big_f ) )
=> ( ( B @ big_j )
& ( A @ big_h ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel29) ).
thf(2,negated_conjecture,
~ ( ( ! [A: $i] :
( ( A @ big_g )
=> ( A @ big_j ) )
& ! [A: $i] :
( ( A @ big_f )
=> ( A @ big_h ) ) )
<=> ! [A: $i,B: $i] :
( ( ( B @ big_g )
& ( A @ big_f ) )
=> ( ( B @ big_j )
& ( A @ big_h ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(5,plain,
~ ( ( ! [A: $i,B: $i] :
( ( ( B @ big_g )
& ( A @ big_f ) )
=> ( ( B @ big_j )
& ( A @ big_h ) ) )
=> ( ! [A: $i] :
( ( A @ big_g )
=> ( A @ big_j ) )
& ! [A: $i] :
( ( A @ big_f )
=> ( A @ big_h ) ) ) )
& ( ( ! [A: $i] :
( ( A @ big_g )
=> ( A @ big_j ) )
& ! [A: $i] :
( ( A @ big_f )
=> ( A @ big_h ) ) )
=> ! [A: $i,B: $i] :
( ( ( B @ big_g )
& ( A @ big_f ) )
=> ( ( B @ big_j )
& ( A @ big_h ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
? [A: $i] : ( A @ big_f ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel29_1) ).
thf(21,plain,
? [A: $i] : ( A @ big_f ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(4,axiom,
? [A: $i] : ( A @ big_g ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel29_2) ).
thf(23,plain,
? [A: $i] : ( A @ big_g ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(25,plain,
$false,
inference(e,[status(thm)],[5,21,23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN059+1 : TPTP v9.3.1. Released v2.0.0.
% 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
% 0.13/0.54 % Computer : n019.cluster.edu
% 0.13/0.54 % Model : x86_64 x86_64
% 0.13/0.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.54 % Memory : 8046.5625MB
% 0.13/0.54 % OS : Linux 6.8.0-71-generic
% 0.13/0.54 % CPULimit : 300
% 0.13/0.54 % WCLimit : 300
% 0.13/0.54 % DateTime : Sat Sep 26 17:08:20 UTC 2026
% 0.13/0.54 % CPUTime :
% 0.13/0.54 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
% 0.97/1.14 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.24/1.32 % [INFO] Parsing done (180ms).
% 1.24/1.34 % [INFO] Running in sequential loop mode.
% 1.80/1.73 % [INFO] eprover registered as external prover.
% 1.80/1.74 % [INFO] Scanning for conjecture ...
% 1.98/1.83 % [INFO] Found a conjecture (or negated_conjecture) and 2 axioms. Running axiom selection ...
% 1.98/1.87 % [INFO] Axiom selection finished. Selected 2 axioms (removed 0 axioms).
% 1.98/1.88 % [INFO] Problem is first-order (TPTP FOF).
% 1.98/1.88 % [INFO] Type checking passed.
% 1.98/1.88 % [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 ...
% 3.08/2.44 % External prover 'e' found a proof!
% 3.08/2.44 % [INFO] Killing All external provers ...
% 3.08/2.44 % Time passed: 1748ms (effective reasoning time: 1095ms)
% 3.08/2.44 % Solved by 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)>
% 3.08/2.44 % Axioms used in derivation (2): pel29_1, pel29_2
% 3.08/2.44 % No. of inferences in proof: 8
% 3.08/2.44 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1748 ms resp. 1095 ms w/o parsing
% 3.08/2.48 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.08/2.48 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------