%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : NUM782^1 : TPTP v9.3.1. Released v3.7.0.
% 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 : n014.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 08:18:10 AM UTC 2026
% Result : Theorem 3.87s 2.24s
% Output : Refutation 3.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 8 ( 7 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(rat_type,type,
rat: $tType ).
thf(x0_decl,type,
x0: rat ).
thf(y0_decl,type,
y0: rat ).
thf(z0_decl,type,
z0: rat ).
thf(1,conjecture,
x0 = z0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz80) ).
thf(2,negated_conjecture,
x0 != z0,
inference(neg_conjecture,[status(cth)],[1]) ).
thf(5,plain,
x0 != z0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
x0 = y0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i) ).
thf(7,plain,
x0 = y0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(4,axiom,
y0 = z0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',j) ).
thf(9,plain,
y0 = z0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(11,plain,
$false,
inference(e,[status(thm)],[5,7,9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM782^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.08 % 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
% 0.11/0.24 % Computer : n014.cluster.edu
% 0.11/0.24 % Model : x86_64 x86_64
% 0.11/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.24 % Memory : 8046.5625MB
% 0.11/0.24 % OS : Linux 6.8.0-71-generic
% 0.11/0.24 % CPULimit : 300
% 0.11/0.24 % WCLimit : 300
% 0.11/0.24 % DateTime : Tue Sep 29 12:55:15 UTC 2026
% 0.11/0.25 % CPUTime :
% 0.11/0.25 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
% 1.19/0.96 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.51/1.14 % [INFO] Parsing done (181ms).
% 1.69/1.15 % [INFO] Running in sequential loop mode.
% 2.41/1.61 % [INFO] eprover registered as external prover.
% 2.41/1.62 % [INFO] Scanning for conjecture ...
% 2.41/1.69 % [INFO] Found a conjecture (or negated_conjecture) and 2 axioms. Running axiom selection ...
% 2.64/1.72 % [INFO] Axiom selection finished. Selected 2 axioms (removed 0 axioms).
% 2.64/1.73 % [INFO] Problem is higher-order (TPTP THF).
% 2.64/1.74 % [INFO] Type checking passed.
% 2.64/1.74 % [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 ...
% 3.87/2.23 % External prover 'e' found a proof!
% 3.87/2.24 % [INFO] Killing All external provers ...
% 3.87/2.24 % Time passed: 1781ms (effective reasoning time: 1075ms)
% 3.87/2.24 % 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)>
% 3.87/2.24 % Axioms used in derivation (2): i, j
% 3.87/2.24 % No. of inferences in proof: 8
% 3.87/2.24 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1781 ms resp. 1075 ms w/o parsing
% 3.87/2.28 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.87/2.28 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------