%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : LCL678+1.001 : TPTP v9.3.1. Released v4.0.0.
% 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 07:52:30 AM UTC 2026
% Result : Theorem 3.09s 2.27s
% Output : Refutation 3.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 10 unt; 0 typ; 1 def)
% Number of atoms : 33 ( 3 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 88 ( 29 ~; 15 |; 0 &; 44 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 3 usr; 3 con; 0-2 aty)
% Number of variables : 26 ( 0 ^; 19 !; 6 ?; 26 :)
% ( 0 !>; 0 ?*; 0 @-; 1 @+)
% Comments :
%------------------------------------------------------------------------------
thf(r1_decl,type,
r1: $i > $i > $o ).
thf(p1_decl,type,
p1: $i > $o ).
thf(sk1_decl,type,
sk1: $i ).
thf(sk1_def,definition,
( sk1
= ( @+[A: $i] :
~ ? [B: $i] : ( B @ ( A @ r1 ) ) ) ) ).
thf(3,axiom,
! [A: $i] : ( A @ ( A @ r1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
thf(9,plain,
! [A: $i] : ( A @ ( A @ r1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(10,plain,
! [A: $i] : ( A @ ( A @ r1 ) ),
inference(cnf,[status(esa)],[9]) ).
thf(1,conjecture,
~ ? [A: $i] :
~ ( ~ ! [B: $i] :
( ~ ! [C: $i] :
( ~ ! [D: $i] :
( ( D @ p1 )
| ~ ( D @ ( C @ r1 ) ) )
| ! [D: $i] :
( ( D @ p1 )
| ~ ( D @ ( C @ r1 ) ) )
| ~ ( C @ ( B @ r1 ) ) )
| $false
| ~ ( B @ ( A @ r1 ) ) )
| $false ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
thf(2,negated_conjecture,
~ ~ ? [A: $i] :
~ ( ~ ! [B: $i] :
( ~ ! [C: $i] :
( ~ ! [D: $i] :
( ( D @ p1 )
| ~ ( D @ ( C @ r1 ) ) )
| ! [D: $i] :
( ( D @ p1 )
| ~ ( D @ ( C @ r1 ) ) )
| ~ ( C @ ( B @ r1 ) ) )
| $false
| ~ ( B @ ( A @ r1 ) ) )
| $false ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(5,plain,
~ ~ ? [A: $i] :
! [B: $i] :
~ ( B @ ( A @ r1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(6,plain,
? [A: $i] :
! [B: $i] :
~ ( B @ ( A @ r1 ) ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(7,plain,
~ ! [A: $i] :
? [B: $i] : ( B @ ( A @ r1 ) ),
inference(miniscope,[status(thm)],[6]) ).
thf(8,plain,
! [A: $i] :
~ ( A @ ( sk1 @ r1 ) ),
inference(cnf,[status(esa)],[7]) ).
thf(13,plain,
! [B: $i,A: $i] :
( ( ( A @ ( A @ r1 ) )
!= ( B @ ( sk1 @ r1 ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[10,8]) ).
thf(14,plain,
! [B: $i,A: $i] :
( ( A @ ( A @ r1 ) )
!= ( B @ ( sk1 @ r1 ) ) ),
inference(simp,[status(thm)],[13]) ).
thf(15,plain,
$false,
inference(pattern_uni,[status(thm)],[14:[bind(A,$thf( sk1 )),bind(B,$thf( sk1 ))]]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL678+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % 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
% 0.14/0.40 % Computer : n017.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Fri Sep 25 23:12:02 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 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
% 0.86/1.00 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.22/1.17 % [INFO] Parsing done (175ms).
% 1.22/1.19 % [INFO] Running in sequential loop mode.
% 1.74/1.59 % [INFO] eprover registered as external prover.
% 1.74/1.60 % [INFO] Scanning for conjecture ...
% 1.92/1.69 % [INFO] Found a conjecture (or negated_conjecture) and 2 axioms. Running axiom selection ...
% 2.09/1.73 % [INFO] Axiom selection finished. Selected 2 axioms (removed 0 axioms).
% 2.09/1.74 % [INFO] Problem is first-order (TPTP FOF).
% 2.09/1.75 % [INFO] Type checking passed.
% 2.09/1.76 % [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 ...
% 3.09/2.27 % [INFO] Killing All external provers ...
% 3.09/2.27 % Time passed: 1716ms (effective reasoning time: 1071ms)
% 3.09/2.27 % 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)>
% 3.09/2.27 % Axioms used in derivation (1): reflexivity
% 3.09/2.27 % No. of inferences in proof: 12
% 3.09/2.27 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1716 ms resp. 1071 ms w/o parsing
% 3.09/2.29 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.09/2.29 % [INFO] Killing All external provers ...
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