%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : NUM796^1 : TPTP v9.3.1. Released v3.7.0.
% 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 : n001.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 08:18:12 AM UTC 2026
% Result : Theorem 3.37s 2.06s
% Output : Refutation 3.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of formulae : 16 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 26 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 82 ( 2 ~; 0 |; 0 &; 70 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 20 ( 0 ^; 20 !; 0 ?; 20 :)
% 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(u0_decl,type,
u0: rat ).
thf(less_decl,type,
less: rat > rat > $o ).
thf(lessis_decl,type,
lessis: rat > rat > $o ).
thf(pl_decl,type,
pl: rat > rat > rat ).
thf(more_decl,type,
more: rat > rat > $o ).
thf(moreis_decl,type,
moreis: rat > rat > $o ).
thf(3,axiom,
less @ x0 @ y0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l) ).
thf(10,plain,
less @ x0 @ y0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(6,axiom,
! [A: rat,B: rat,C: rat,D: rat] :
( ( more @ A @ B )
=> ( ( moreis @ C @ D )
=> ( more @ ( pl @ A @ C ) @ ( pl @ B @ D ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz99b) ).
thf(14,plain,
! [A: rat,B: rat,C: rat,D: rat] :
( ( more @ A @ B )
=> ( ( moreis @ C @ D )
=> ( more @ ( pl @ A @ C ) @ ( pl @ B @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(1,conjecture,
less @ ( pl @ x0 @ z0 ) @ ( pl @ y0 @ u0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz99d) ).
thf(2,negated_conjecture,
~ ( less @ ( pl @ x0 @ z0 ) @ ( pl @ y0 @ u0 ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(9,plain,
~ ( less @ ( pl @ x0 @ z0 ) @ ( pl @ y0 @ u0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(7,axiom,
! [A: rat,B: rat] :
( ( less @ A @ B )
=> ( more @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz83) ).
thf(17,plain,
! [A: rat,B: rat] :
( ( less @ A @ B )
=> ( more @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(5,axiom,
! [A: rat,B: rat] :
( ( more @ A @ B )
=> ( less @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz82) ).
thf(12,plain,
! [A: rat,B: rat] :
( ( more @ A @ B )
=> ( less @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(4,axiom,
lessis @ z0 @ u0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k) ).
thf(11,plain,
lessis @ z0 @ u0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(8,axiom,
! [A: rat,B: rat] :
( ( lessis @ A @ B )
=> ( moreis @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz85) ).
thf(19,plain,
! [A: rat,B: rat] :
( ( lessis @ A @ B )
=> ( moreis @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(21,plain,
$false,
inference(e,[status(thm)],[10,14,9,17,12,11,19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM796^1 : TPTP v9.3.1. Released v3.7.0.
% 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
% 0.10/0.20 % Computer : n001.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Tue Sep 29 13:06:10 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 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
% 0.90/0.79 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.23/0.98 % [INFO] Parsing done (183ms).
% 1.23/0.99 % [INFO] Running in sequential loop mode.
% 1.84/1.40 % [INFO] eprover registered as external prover.
% 2.03/1.40 % [INFO] Scanning for conjecture ...
% 2.03/1.49 % [INFO] Found a conjecture (or negated_conjecture) and 6 axioms. Running axiom selection ...
% 2.21/1.52 % [INFO] Axiom selection finished. Selected 6 axioms (removed 0 axioms).
% 2.21/1.55 % [INFO] Problem is higher-order (TPTP THF).
% 2.21/1.55 % [INFO] Type checking passed.
% 2.21/1.56 % [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 ...
% 3.37/2.05 % External prover 'e' found a proof!
% 3.37/2.05 % [INFO] Killing All external provers ...
% 3.37/2.06 % Time passed: 1707ms (effective reasoning time: 1058ms)
% 3.37/2.06 % 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)>
% 3.37/2.06 % Axioms used in derivation (6): l, satz82, satz83, satz99b, k, satz85
% 3.37/2.06 % No. of inferences in proof: 16
% 3.37/2.06 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1707 ms resp. 1058 ms w/o parsing
% 3.37/2.09 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.37/2.09 % [INFO] Killing All external provers ...
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