%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : MSC012+1 : TPTP v9.3.1. Released v3.2.0.
% 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 : n005.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 08:03:11 AM UTC 2026
% Result : Theorem 4.23s 2.50s
% Output : Refutation 4.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of formulae : 12 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 26 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 48 ( 2 ~; 2 |; 8 &; 32 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 18 ( 0 ^; 14 !; 4 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
thf(goal_decl,type,
goal: $o ).
thf(p_decl,type,
p: $i > $o ).
thf(less_decl,type,
less: $i > $i > $o ).
thf(6,axiom,
! [A: $i] :
? [B: $i] : ( B @ ( A @ less ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',serial_less) ).
thf(17,plain,
! [A: $i] :
? [B: $i] : ( B @ ( A @ less ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(1,conjecture,
goal,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_to_be_proved) ).
thf(2,negated_conjecture,
~ goal,
inference(neg_conjecture,[status(cth)],[1]) ).
thf(7,plain,
~ goal,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,axiom,
! [A: $i] :
( ? [B: $i] :
( ( B @ p )
& ( B @ ( A @ less ) ) )
| ( A @ p ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_to_left) ).
thf(11,plain,
! [A: $i] :
( ? [B: $i] :
( ( B @ p )
& ( B @ ( A @ less ) ) )
| ( A @ p ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( ( B @ p )
& ( B @ ( A @ less ) )
& ( A @ p ) )
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_to_right) ).
thf(8,plain,
! [A: $i,B: $i] :
( ( ( B @ p )
& ( B @ ( A @ less ) )
& ( A @ p ) )
=> goal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(5,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ less ) )
& ( B @ ( A @ less ) ) )
=> ( C @ ( A @ less ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitive_less) ).
thf(15,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ less ) )
& ( B @ ( A @ less ) ) )
=> ( C @ ( A @ less ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(22,plain,
$false,
inference(e,[status(thm)],[17,7,11,8,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MSC012+1 : TPTP v9.3.1. Released v3.2.0.
% 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
% 0.15/0.40 % Computer : n005.cluster.edu
% 0.15/0.40 % Model : x86_64 x86_64
% 0.15/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.40 % Memory : 8046.5625MB
% 0.15/0.40 % OS : Linux 6.8.0-71-generic
% 0.15/0.40 % CPULimit : 300
% 0.15/0.40 % WCLimit : 300
% 0.15/0.40 % DateTime : Sat Sep 26 00:15:31 UTC 2026
% 0.15/0.40 % CPUTime :
% 0.15/0.40 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
% 1.11/1.06 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.47/1.21 % [INFO] Parsing done (150ms).
% 1.47/1.22 % [INFO] Running in sequential loop mode.
% 2.18/1.78 % [INFO] eprover registered as external prover.
% 2.18/1.79 % [INFO] Scanning for conjecture ...
% 2.38/1.90 % [INFO] Found a conjecture (or negated_conjecture) and 4 axioms. Running axiom selection ...
% 2.54/1.94 % [INFO] Axiom selection finished. Selected 4 axioms (removed 0 axioms).
% 2.54/1.98 % [INFO] Problem is first-order (TPTP FOF).
% 2.54/1.98 % [INFO] Type checking passed.
% 2.54/1.99 % [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 ...
% 3.76/2.49 % External prover 'e' found a proof!
% 3.76/2.50 % [INFO] Killing All external provers ...
% 3.76/2.50 % Time passed: 1939ms (effective reasoning time: 1270ms)
% 3.76/2.50 % 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)>
% 4.23/2.50 % Axioms used in derivation (4): serial_less, right_to_left, left_to_right, transitive_less
% 4.23/2.50 % No. of inferences in proof: 12
% 4.23/2.50 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1939 ms resp. 1270 ms w/o parsing
% 4.23/2.53 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.23/2.53 % [INFO] Killing All external provers ...
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