%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN032-1 : 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 : n009.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 09:16:31 AM UTC 2026
% Result : Unsatisfiable 3.30s 2.24s
% Output : Refutation 3.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 7
% Syntax : Number of formulae : 15 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 35 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 36 ( 16 ~; 20 |; 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 : 7 ( 6 usr; 7 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(h_decl,type,
h: $o ).
thf(j_decl,type,
j: $o ).
thf(k_decl,type,
k: $o ).
thf(c_decl,type,
c: $o ).
thf(2,axiom,
( ~ j
| a
| h ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',three) ).
thf(10,plain,
( ~ j
| a
| h ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,axiom,
( ~ k
| j
| h ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',five) ).
thf(14,plain,
( ~ k
| j
| h ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(7,axiom,
( ~ c
| ~ h ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',one) ).
thf(20,plain,
( ~ c
| ~ h ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(3,axiom,
( j
| k
| h ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',four) ).
thf(12,plain,
( j
| k
| h ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(6,axiom,
( ~ h
| c ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',seven) ).
thf(18,plain,
( ~ h
| c ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(5,axiom,
( ~ a
| b ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',six) ).
thf(16,plain,
( ~ a
| b ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(1,negated_conjecture,
( ~ b
| ~ a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_something) ).
thf(8,plain,
( ~ b
| ~ a ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(25,plain,
$false,
inference(e,[status(thm)],[10,14,20,12,18,16,8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN032-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % 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
% 0.14/0.39 % Computer : n009.cluster.edu
% 0.14/0.39 % Model : x86_64 x86_64
% 0.14/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39 % Memory : 8046.5625MB
% 0.14/0.39 % OS : Linux 6.8.0-71-generic
% 0.14/0.39 % CPULimit : 300
% 0.14/0.39 % WCLimit : 300
% 0.14/0.39 % DateTime : Sat Sep 26 17:05:14 UTC 2026
% 0.14/0.39 % CPUTime :
% 0.14/0.39 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
% 0.87/1.00 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.27/1.18 % [INFO] Parsing done (177ms).
% 1.40/1.20 % [INFO] Running in sequential loop mode.
% 1.99/1.61 % [INFO] eprover registered as external prover.
% 1.99/1.61 % [INFO] Scanning for conjecture ...
% 2.17/1.70 % [INFO] Found a conjecture (or negated_conjecture) and 6 axioms. Running axiom selection ...
% 2.17/1.73 % [INFO] Axiom selection finished. Selected 6 axioms (removed 0 axioms).
% 2.17/1.74 % [INFO] Problem is propositional (TPTP CNF).
% 2.17/1.74 % [INFO] Type checking passed.
% 2.17/1.74 % [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 ...
% 3.30/2.24 % External prover 'e' found a proof!
% 3.30/2.24 % [INFO] Killing All external provers ...
% 3.30/2.24 % Time passed: 1704ms (effective reasoning time: 1034ms)
% 3.30/2.24 % Axioms used in derivation (6): six, seven, five, one, four, three
% 3.30/2.24 % No. of inferences in proof: 15
% 3.30/2.24 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1704 ms resp. 1034 ms w/o parsing
% 3.30/2.27 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.30/2.27 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------