%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYO085^5 : TPTP v9.3.1. Released v4.0.0.
% 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 : 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 : Wed Sep 30 08:45:12 AM UTC 2026
% Result : Theorem 3.05s 1.96s
% Output : Refutation 3.05s
% 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 : 31 ( 0 equ; 0 cnn)
% Maximal formula atoms : 10 ( 7 avg)
% Number of connectives : 41 ( 14 ~; 12 |; 12 &; 0 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 5 usr; 6 con; 0-0 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(d_decl,type,
d: $o ).
thf(c_decl,type,
c: $o ).
thf(b_decl,type,
b: $o ).
thf(a_decl,type,
a: $o ).
thf(s_decl,type,
s: $o ).
thf(1,conjecture,
( ( ~ ( c
& d )
| ~ ( a
& b )
| s )
=> ( s
| ~ ( a
& b )
| ~ ( c
& d ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cCOM_DMG02) ).
thf(2,negated_conjecture,
~ ( ( ~ ( c
& d )
| ~ ( a
& b )
| s )
=> ( s
| ~ ( a
& b )
| ~ ( c
& d ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ( ~ ( c
& d )
| ~ ( a
& b )
| s )
=> ( s
| ~ ( a
& b )
| ~ ( c
& d ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(11,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO085^5 : TPTP v9.3.1. Released v4.0.0.
% 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
% 0.10/0.21 % Computer : n020.cluster.edu
% 0.10/0.21 % Model : x86_64 x86_64
% 0.10/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.21 % Memory : 8046.5625MB
% 0.10/0.21 % OS : Linux 6.8.0-71-generic
% 0.10/0.21 % CPULimit : 300
% 0.10/0.21 % WCLimit : 300
% 0.10/0.21 % DateTime : Tue Sep 29 16:34:04 UTC 2026
% 0.10/0.21 % CPUTime :
% 0.10/0.21 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
% 0.87/0.79 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.22/0.98 % [INFO] Parsing done (186ms).
% 1.22/0.99 % [INFO] Running in sequential loop mode.
% 1.82/1.39 % [INFO] eprover registered as external prover.
% 2.01/1.40 % [INFO] Scanning for conjecture ...
% 2.01/1.48 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.19/1.51 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.19/1.52 % [INFO] Problem is higher-order (TPTP THF).
% 2.19/1.52 % [INFO] Type checking passed.
% 2.19/1.52 % [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 ...
% 3.05/1.95 % External prover 'e' found a proof!
% 3.05/1.95 % [INFO] Killing All external provers ...
% 3.05/1.95 % Time passed: 1609ms (effective reasoning time: 955ms)
% 3.05/1.95 % 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)>
% 3.05/1.95 % Axioms used in derivation (0):
% 3.05/1.95 % No. of inferences in proof: 4
% 3.05/1.96 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1609 ms resp. 955 ms w/o parsing
% 3.05/1.98 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.05/1.98 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------