%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN072-1 : TPTP v9.3.1. Released v1.0.0.
% 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 : n012.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 09:16:44 AM UTC 2026
% Result : Unsatisfiable 2.19s 1.65s
% Output : Refutation 2.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of formulae : 11 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 13 ( 6 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 4 ~; 2 |; 0 &; 6 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 6 con; 0-2 aty)
% Number of variables : 2 ( 0 ^; 2 !; 0 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
thf(big_p_decl,type,
big_p: $i > $o ).
thf(e_decl,type,
e: $i ).
thf(c_decl,type,
c: $i ).
thf(d_decl,type,
d: $i ).
thf(a_decl,type,
a: $i ).
thf(b_decl,type,
b: $i ).
thf(1,negated_conjecture,
~ ( e @ big_p ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
thf(6,plain,
~ ( e @ big_p ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(5,axiom,
a != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
thf(13,plain,
a != b,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(4,axiom,
b @ big_p,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
thf(12,plain,
b @ big_p,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(3,axiom,
a @ big_p,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
thf(11,plain,
a @ big_p,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(2,axiom,
! [A: $i] :
( ( A = d )
| ( A = c ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
thf(8,plain,
! [A: $i] :
( ( A = d )
| ( A = c ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(19,plain,
$false,
inference(e,[status(thm)],[6,13,12,11,8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN072-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % 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
% 0.05/0.31 % Computer : n012.cluster.edu
% 0.05/0.31 % Model : x86_64 x86_64
% 0.05/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.31 % Memory : 8046.5625MB
% 0.05/0.31 % OS : Linux 6.8.0-71-generic
% 0.05/0.31 % CPULimit : 300
% 0.05/0.31 % WCLimit : 300
% 0.05/0.31 % DateTime : Sat Sep 26 17:09:04 UTC 2026
% 0.05/0.31 % CPUTime :
% 0.05/0.31 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
% 0.62/0.80 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.96/0.94 % [INFO] Parsing done (141ms).
% 0.96/0.95 % [INFO] Running in sequential loop mode.
% 1.40/1.28 % [INFO] eprover registered as external prover.
% 1.40/1.29 % [INFO] Scanning for conjecture ...
% 1.59/1.36 % [INFO] Found a conjecture (or negated_conjecture) and 4 axioms. Running axiom selection ...
% 1.59/1.38 % [INFO] Axiom selection finished. Selected 4 axioms (removed 0 axioms).
% 1.59/1.38 % [INFO] Problem is propositional (TPTP CNF).
% 1.59/1.39 % [INFO] Type checking passed.
% 1.59/1.39 % [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 ...
% 1.75/1.48 % [INFO] [Domain constraints] Detected constraint on $i
% 1.75/1.48 % [INFO] [Domain constraints] dom($i) ⊆ {c,d}
% 2.19/1.65 % External prover 'e' found a proof!
% 2.19/1.65 % [INFO] Killing All external provers ...
% 2.19/1.65 % Time passed: 1208ms (effective reasoning time: 689ms)
% 2.19/1.65 % Axioms used in derivation (4): clause_4, clause_3, clause_2, clause_1
% 2.19/1.65 % No. of inferences in proof: 11
% 2.19/1.65 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1208 ms resp. 689 ms w/o parsing
% 2.19/1.66 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.19/1.66 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------