%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : NUM671^1 : 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 : 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 : Wed Sep 30 08:17:56 AM UTC 2026
% Result : Theorem 3.01s 1.94s
% Output : Refutation 3.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 9 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 9 ( 8 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 24 ( 4 ~; 0 |; 0 &; 20 @)
% ( 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 : 6 ( 4 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(nat_type,type,
nat: $tType ).
thf(x_decl,type,
x: nat ).
thf(y_decl,type,
y: nat ).
thf(z_decl,type,
z: nat ).
thf(pl_decl,type,
pl: nat > nat > nat ).
thf(1,conjecture,
( ( pl @ x @ z )
= ( pl @ y @ z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz19b) ).
thf(2,negated_conjecture,
( ( pl @ x @ z )
!= ( pl @ y @ z ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(4,plain,
( ( pl @ x @ z )
!= ( pl @ y @ z ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,plain,
( ( pl @ y @ z )
!= ( pl @ x @ z ) ),
inference(lifteq,[status(thm)],[4]) ).
thf(3,axiom,
x = y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i) ).
thf(6,plain,
x = y,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(7,plain,
y = x,
inference(lifteq,[status(thm)],[6]) ).
thf(8,plain,
( ( pl @ x @ z )
!= ( pl @ x @ z ) ),
inference(rewrite,[status(thm)],[5,7]) ).
thf(9,plain,
$false,
inference(simp,[status(thm)],[8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM671^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.08 % 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
% 0.09/0.21 % Computer : n020.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Tue Sep 29 12:36:04 UTC 2026
% 0.09/0.22 % CPUTime :
% 0.09/0.22 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
% 0.86/0.79 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.21/0.98 % [INFO] Parsing done (179ms).
% 1.21/0.99 % [INFO] Running in sequential loop mode.
% 1.81/1.39 % [INFO] eprover registered as external prover.
% 1.81/1.40 % [INFO] Scanning for conjecture ...
% 2.02/1.47 % [INFO] Found a conjecture (or negated_conjecture) and 1 axioms. Running axiom selection ...
% 2.18/1.51 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 2.18/1.51 % [INFO] Problem is higher-order (TPTP THF).
% 2.18/1.52 % [INFO] Type checking passed.
% 2.18/1.52 % [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 ...
% 3.01/1.93 % [INFO] Killing All external provers ...
% 3.01/1.93 % Time passed: 1570ms (effective reasoning time: 934ms)
% 3.01/1.93 % 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)>
% 3.01/1.94 % Axioms used in derivation (1): i
% 3.01/1.94 % No. of inferences in proof: 9
% 3.01/1.94 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1570 ms resp. 934 ms w/o parsing
% 3.01/1.97 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.01/1.97 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------