%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : MGT115+1 : TPTP v9.3.1. Released v9.3.0.
% 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 : n017.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 08:00:56 AM UTC 2026
% Result : Theorem 4.34s 3.39s
% Output : Refutation 4.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of formulae : 12 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 14 ( 9 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 23 ( 7 ~; 0 |; 0 &; 14 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 4 ( 0 ^; 4 !; 0 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
thf(issue_decl,type,
issue: $i > $i ).
thf(pi1_decl,type,
pi1: $i ).
thf(pi2_decl,type,
pi2: $i ).
thf(rule_decl,type,
rule: $i > $o ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( ( A @ issue )
= ( B @ issue ) )
=> ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',issue_injective) ).
thf(10,plain,
! [A: $i,B: $i] :
( ( ( A @ issue )
= ( B @ issue ) )
=> ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(6,axiom,
pi1 != pi2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pi1_neq_pi2) ).
thf(17,plain,
pi1 != pi2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(1,conjecture,
( ( pi1 @ issue )
!= ( pi2 @ issue ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture) ).
thf(2,negated_conjecture,
~ ( ( ( pi1 @ issue )
!= ( pi2 @ issue ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(7,plain,
~ ( ( ( pi1 @ issue )
!= ( pi2 @ issue ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,axiom,
pi2 @ rule,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_pi2) ).
thf(16,plain,
pi2 @ rule,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(4,axiom,
pi1 @ rule,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_pi1) ).
thf(15,plain,
pi1 @ rule,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(20,plain,
$false,
inference(e,[status(thm)],[10,17,7,16,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : MGT115+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.12 % 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
% 0.25/0.71 % Computer : n017.cluster.edu
% 0.25/0.71 % Model : x86_64 x86_64
% 0.25/0.71 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.25/0.71 % Memory : 8046.5625MB
% 0.25/0.71 % OS : Linux 6.8.0-71-generic
% 0.25/0.71 % CPULimit : 300
% 0.25/0.71 % WCLimit : 300
% 0.25/0.71 % DateTime : Sat Sep 26 00:09:34 UTC 2026
% 0.25/0.71 % CPUTime :
% 0.25/0.71 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
% 1.36/1.57 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.84/1.83 % [INFO] Parsing done (247ms).
% 1.84/1.85 % [INFO] Running in sequential loop mode.
% 2.68/2.44 % [INFO] eprover registered as external prover.
% 2.68/2.45 % [INFO] Scanning for conjecture ...
% 2.86/2.56 % [INFO] Found a conjecture (or negated_conjecture) and 4 axioms. Running axiom selection ...
% 3.01/2.61 % [INFO] Axiom selection finished. Selected 4 axioms (removed 0 axioms).
% 3.01/2.64 % [INFO] Problem is first-order (TPTP FOF).
% 3.01/2.64 % [INFO] Type checking passed.
% 3.01/2.65 % [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 ...
% 4.34/3.38 % External prover 'e' found a proof!
% 4.34/3.38 % [INFO] Killing All external provers ...
% 4.34/3.38 % Time passed: 2468ms (effective reasoning time: 1528ms)
% 4.34/3.38 % 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)>
% 4.34/3.39 % Axioms used in derivation (4): issue_injective, pi1_neq_pi2, rule_pi2, rule_pi1
% 4.34/3.39 % No. of inferences in proof: 12
% 4.34/3.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2468 ms resp. 1528 ms w/o parsing
% 4.62/3.44 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.62/3.44 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------