%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN062-1 : 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 : 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 : Sun Sep 27 09:16:41 AM UTC 2026
% Result : Unsatisfiable 4.23s 3.03s
% Output : Refutation 4.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 7
% Syntax : Number of formulae : 15 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 29 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 58 ( 16 ~; 14 |; 0 &; 28 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 7 usr; 2 con; 0-1 aty)
% Number of variables : 8 ( 0 ^; 8 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
thf(big_f_decl,type,
big_f: $i > $o ).
thf(a_decl,type,
a: $i ).
thf(big_k_decl,type,
big_k: $i > $o ).
thf(big_j_decl,type,
big_j: $i > $o ).
thf(big_g_decl,type,
big_g: $i > $o ).
thf(big_i_decl,type,
big_i: $i > $o ).
thf(big_h_decl,type,
big_h: $i > $o ).
thf(3,negated_conjecture,
~ ( a @ big_j ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
thf(10,plain,
~ ( a @ big_j ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(5,axiom,
! [A: $i] :
( ( A @ big_i )
| ~ ( A @ big_h )
| ~ ( A @ big_f ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
thf(14,plain,
! [A: $i] :
( ( A @ big_i )
| ~ ( A @ big_h )
| ~ ( A @ big_f ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(2,negated_conjecture,
a @ big_k,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
thf(9,plain,
a @ big_k,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,axiom,
! [A: $i] :
( ( A @ big_i )
| ~ ( A @ big_g )
| ~ ( A @ big_f ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
thf(12,plain,
! [A: $i] :
( ( A @ big_i )
| ~ ( A @ big_g )
| ~ ( A @ big_f ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(7,axiom,
! [A: $i] :
( ( A @ big_h )
| ~ ( A @ big_k ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
thf(18,plain,
! [A: $i] :
( ( A @ big_h )
| ~ ( A @ big_k ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(6,axiom,
! [A: $i] :
( ( A @ big_j )
| ~ ( A @ big_h )
| ~ ( A @ big_i ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
thf(16,plain,
! [A: $i] :
( ( A @ big_j )
| ~ ( A @ big_h )
| ~ ( A @ big_i ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(1,negated_conjecture,
a @ big_f,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
thf(8,plain,
a @ big_f,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(20,plain,
$false,
inference(e,[status(thm)],[10,14,9,12,18,16,8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN062-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.12 % 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
% 0.22/0.48 % Computer : n020.cluster.edu
% 0.22/0.48 % Model : x86_64 x86_64
% 0.22/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.48 % Memory : 8046.5625MB
% 0.22/0.48 % OS : Linux 6.8.0-71-generic
% 0.22/0.48 % CPULimit : 300
% 0.22/0.48 % WCLimit : 300
% 0.22/0.48 % DateTime : Sat Sep 26 17:09:04 UTC 2026
% 0.22/0.48 % CPUTime :
% 0.22/0.48 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
% 1.44/1.33 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.80/1.60 % [INFO] Parsing done (263ms).
% 1.98/1.62 % [INFO] Running in sequential loop mode.
% 2.86/2.22 % [INFO] eprover registered as external prover.
% 2.86/2.23 % [INFO] Scanning for conjecture ...
% 3.04/2.34 % [INFO] Found a conjecture (or negated_conjecture) and 4 axioms. Running axiom selection ...
% 3.04/2.37 % [INFO] Axiom selection finished. Selected 4 axioms (removed 0 axioms).
% 3.04/2.38 % [INFO] Problem is propositional (TPTP CNF).
% 3.04/2.38 % [INFO] Type checking passed.
% 3.04/2.38 % [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 ...
% 4.23/3.03 % External prover 'e' found a proof!
% 4.23/3.03 % [INFO] Killing All external provers ...
% 4.23/3.03 % Time passed: 2333ms (effective reasoning time: 1400ms)
% 4.23/3.03 % Axioms used in derivation (4): clause_2, clause_1, clause_4, clause_3
% 4.23/3.03 % No. of inferences in proof: 15
% 4.23/3.03 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 2333 ms resp. 1400 ms w/o parsing
% 4.63/3.06 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.63/3.06 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------