%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : GRA001-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n015.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 07:18:20 AM UTC 2026
% Result : Unsatisfiable 4.74s 7.75s
% Output : Refutation 4.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 12
% Syntax : Number of formulae : 25 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 65 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 72 ( 32 ~; 40 |; 0 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 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(a_decl,type,
a: $o ).
thf(b_decl,type,
b: $o ).
thf(c_decl,type,
c: $o ).
thf(d_decl,type,
d: $o ).
thf(e_decl,type,
e: $o ).
thf(4,negated_conjecture,
( d
| ~ c
| a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
thf(24,plain,
( d
| ~ c
| a ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(10,negated_conjecture,
( ~ e
| ~ c
| ~ b ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10) ).
thf(14,plain,
( ~ e
| ~ c
| ~ b ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(7,negated_conjecture,
( ~ e
| c
| b ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
thf(20,plain,
( ~ e
| c
| b ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(3,negated_conjecture,
( ~ d
| c
| a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
thf(21,plain,
( ~ d
| c
| a ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(5,negated_conjecture,
( d
| c
| ~ a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
thf(13,plain,
( d
| c
| ~ a ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(9,negated_conjecture,
( e
| c
| ~ b ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).
thf(17,plain,
( e
| c
| ~ b ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(11,negated_conjecture,
( ~ e
| d ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_11) ).
thf(22,plain,
( ~ e
| d ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(2,negated_conjecture,
( ~ b
| ~ a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
thf(18,plain,
( ~ b
| ~ a ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(6,negated_conjecture,
( ~ d
| ~ c
| ~ a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
thf(16,plain,
( ~ d
| ~ c
| ~ a ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(8,negated_conjecture,
( e
| ~ c
| b ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8) ).
thf(23,plain,
( e
| ~ c
| b ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(12,negated_conjecture,
( e
| ~ d ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_12) ).
thf(19,plain,
( e
| ~ d ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(1,negated_conjecture,
( b
| a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
thf(15,plain,
( b
| a ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(40,plain,
$false,
inference(e,[status(thm)],[24,14,20,21,13,17,22,18,16,23,19,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA001-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.09 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.20/5.48 % Computer : n015.cluster.edu
% 0.20/5.48 % Model : x86_64 x86_64
% 0.20/5.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/5.48 % Memory : 8046.5625MB
% 0.20/5.48 % OS : Linux 6.8.0-71-generic
% 0.20/5.48 % CPULimit : 300
% 0.20/5.48 % WCLimit : 300
% 0.20/5.48 % DateTime : Fri Sep 25 13:50:32 UTC 2026
% 0.20/5.48 % CPUTime :
% 0.20/5.48 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.24/5.97 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.31/6.13 % [INFO] Parsing done (157ms).
% 1.31/6.15 % [INFO] Running in sequential loop mode.
% 2.47/6.76 % [INFO] eprover registered as external prover.
% 2.47/6.78 % [INFO] Scanning for conjecture ...
% 2.86/6.91 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.86/6.96 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.86/6.97 % [INFO] Problem is propositional (TPTP CNF).
% 2.86/6.97 % [INFO] Type checking passed.
% 2.86/6.98 % [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 ...
% 4.74/7.75 % External prover 'e' found a proof!
% 4.74/7.75 % [INFO] Killing All external provers ...
% 4.74/7.75 % Time passed: 2129ms (effective reasoning time: 1586ms)
% 4.74/7.75 % Axioms used in derivation (0):
% 4.74/7.75 % No. of inferences in proof: 25
% 4.74/7.75 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 2129 ms resp. 1586 ms w/o parsing
% 4.74/7.80 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.74/7.80 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------