%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : NUM738^1 : 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 : n003.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 08:18:04 AM UTC 2026
% Result : Theorem 3.14s 1.96s
% Output : Refutation 3.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of formulae : 16 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 26 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 62 ( 2 ~; 0 |; 0 &; 50 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 16 ( 0 ^; 16 !; 0 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
thf(frac_type,type,
frac: $tType ).
thf(x_decl,type,
x: frac ).
thf(y_decl,type,
y: frac ).
thf(z_decl,type,
z: frac ).
thf(u_decl,type,
u: frac ).
thf(lessf_decl,type,
lessf: frac > frac > $o ).
thf(eq_decl,type,
eq: frac > frac > $o ).
thf(moref_decl,type,
moref: frac > frac > $o ).
thf(3,axiom,
lessf @ x @ y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l) ).
thf(10,plain,
lessf @ x @ y,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(1,conjecture,
lessf @ z @ u,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz45) ).
thf(2,negated_conjecture,
~ ( lessf @ z @ u ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(9,plain,
~ ( lessf @ z @ u ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(6,axiom,
! [A: frac,B: frac] :
( ( moref @ A @ B )
=> ( lessf @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz42) ).
thf(13,plain,
! [A: frac,B: frac] :
( ( moref @ A @ B )
=> ( lessf @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(5,axiom,
eq @ y @ u,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f) ).
thf(12,plain,
eq @ y @ u,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(8,axiom,
! [A: frac,B: frac] :
( ( lessf @ A @ B )
=> ( moref @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz43) ).
thf(18,plain,
! [A: frac,B: frac] :
( ( lessf @ A @ B )
=> ( moref @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(4,axiom,
eq @ x @ z,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e) ).
thf(11,plain,
eq @ x @ z,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(7,axiom,
! [A: frac,B: frac,C: frac,D: frac] :
( ( moref @ A @ B )
=> ( ( eq @ A @ C )
=> ( ( eq @ B @ D )
=> ( moref @ C @ D ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz44) ).
thf(15,plain,
! [A: frac,B: frac,C: frac,D: frac] :
( ( moref @ A @ B )
=> ( ( eq @ A @ C )
=> ( ( eq @ B @ D )
=> ( moref @ C @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(23,plain,
$false,
inference(e,[status(thm)],[10,9,13,12,18,11,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM738^1 : 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
% 0.08/0.19 % Computer : n003.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 12:48:28 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 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
% 0.89/0.77 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.24/0.95 % [INFO] Parsing done (181ms).
% 1.24/0.97 % [INFO] Running in sequential loop mode.
% 1.85/1.37 % [INFO] eprover registered as external prover.
% 1.85/1.38 % [INFO] Scanning for conjecture ...
% 2.05/1.45 % [INFO] Found a conjecture (or negated_conjecture) and 6 axioms. Running axiom selection ...
% 2.05/1.48 % [INFO] Axiom selection finished. Selected 6 axioms (removed 0 axioms).
% 2.22/1.51 % [INFO] Problem is higher-order (TPTP THF).
% 2.22/1.51 % [INFO] Type checking passed.
% 2.22/1.52 % [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 ...
% 3.14/1.96 % External prover 'e' found a proof!
% 3.14/1.96 % [INFO] Killing All external provers ...
% 3.14/1.96 % Time passed: 1628ms (effective reasoning time: 987ms)
% 3.14/1.96 % 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)>
% 3.14/1.96 % Axioms used in derivation (6): e, satz42, f, satz43, l, satz44
% 3.14/1.96 % No. of inferences in proof: 16
% 3.14/1.96 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1628 ms resp. 987 ms w/o parsing
% 3.14/1.98 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.14/1.98 % [INFO] Killing All external provers ...
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