%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN393+1.003 : 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 : 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 09:17:27 AM UTC 2026
% Result : Theorem 3.28s 7.27s
% Output : Refutation 3.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 1
% Syntax : Number of formulae : 4 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 53 ( 0 equ; 0 cnn)
% Maximal formula atoms : 40 ( 13 avg)
% Number of connectives : 51 ( 2 ~; 0 |; 13 &; 0 @)
% ( 10 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 3 usr; 4 con; 0-0 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(p1_decl,type,
p1: $o ).
thf(p2_decl,type,
p2: $o ).
thf(p3_decl,type,
p3: $o ).
thf(1,conjecture,
( ( ( p1
<=> p2 )
<=> p3 )
<=> ( p1
<=> ( p2
<=> p3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel12) ).
thf(2,negated_conjecture,
~ ( ( ( p1
<=> p2 )
<=> p3 )
<=> ( p1
<=> ( p2
<=> p3 ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ( ( ( ( ( p3
=> p2 )
& ( p2
=> p3 ) )
=> p1 )
& ( p1
=> ( ( p3
=> p2 )
& ( p2
=> p3 ) ) ) )
=> ( ( p3
=> ( ( p2
=> p1 )
& ( p1
=> p2 ) ) )
& ( ( ( p2
=> p1 )
& ( p1
=> p2 ) )
=> p3 ) ) )
& ( ( ( p3
=> ( ( p2
=> p1 )
& ( p1
=> p2 ) ) )
& ( ( ( p2
=> p1 )
& ( p1
=> p2 ) )
=> p3 ) )
=> ( ( ( ( p3
=> p2 )
& ( p2
=> p3 ) )
=> p1 )
& ( p1
=> ( ( p3
=> p2 )
& ( p2
=> p3 ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(33,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN393+1.003 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % 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
% 0.15/5.40 % Computer : n011.cluster.edu
% 0.15/5.40 % Model : x86_64 x86_64
% 0.15/5.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/5.40 % Memory : 8046.5625MB
% 0.15/5.40 % OS : Linux 6.8.0-71-generic
% 0.15/5.40 % CPULimit : 300
% 0.15/5.40 % WCLimit : 300
% 0.15/5.40 % DateTime : Sat Sep 26 17:40:20 UTC 2026
% 0.15/5.40 % CPUTime :
% 0.15/5.40 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
% 0.18/5.99 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.21/6.16 % [INFO] Parsing done (168ms).
% 1.21/6.18 % [INFO] Running in sequential loop mode.
% 1.92/6.61 % [INFO] eprover registered as external prover.
% 1.92/6.62 % [INFO] Scanning for conjecture ...
% 1.92/6.69 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.09/6.72 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.09/6.72 % [INFO] Problem is first-order (TPTP FOF).
% 2.09/6.73 % [INFO] Type checking passed.
% 2.09/6.73 % [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 ...
% 3.28/7.27 % External prover 'e' found a proof!
% 3.28/7.27 % [INFO] Killing All external provers ...
% 3.28/7.27 % Time passed: 1724ms (effective reasoning time: 1086ms)
% 3.28/7.27 % 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)>
% 3.28/7.27 % Axioms used in derivation (0):
% 3.28/7.27 % No. of inferences in proof: 4
% 3.28/7.27 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1724 ms resp. 1086 ms w/o parsing
% 3.54/7.30 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.54/7.30 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------