%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYP117^1 : TPTP v9.3.1. Released v9.3.0.
% 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 : n007.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 08:50:40 AM UTC 2026
% Result : Theorem 3.42s 2.06s
% Output : Refutation 3.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 13 unt; 0 typ; 1 def)
% Number of atoms : 16 ( 15 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 31 ( 8 ~; 1 |; 0 &; 22 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 2 usr; 2 con; 0-2 aty)
% Number of variables : 18 ( 4 ^; 13 !; 0 ?; 18 :)
% ( 0 !>; 0 ?*; 0 @-; 1 @+)
% Comments :
%------------------------------------------------------------------------------
thf(skt1_type,type,
skt1: $tType ).
thf(i_decl,type,
i:
!>[TA: $tType] : ( TA > TA ) ).
thf(sk1_decl,type,
sk1: skt1 ).
thf(sk1_def,definition,
( sk1
= ( @+[A: skt1] :
( ( i @ skt1 @ A )
!= A ) ) ) ).
thf(3,axiom,
! [TA: $tType] :
( ( i @ TA )
= ( ^ [A: TA] : A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','trivia/I_DEF_') ).
thf(7,plain,
! [TA: $tType] :
( ( i @ TA )
= ( ^ [A: TA] : A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(8,plain,
! [TA: $tType] :
( ( i @ TA )
= ( ^ [A: TA] : A ) ),
inference(cnf,[status(esa)],[7]) ).
thf(9,plain,
! [TA: $tType] :
( ( i @ TA )
= ( ^ [A: TA] : A ) ),
inference(lifteq,[status(thm)],[8]) ).
thf(10,plain,
! [TA: $tType,A: TA] :
( ( i @ TA @ A )
= A ),
inference(func_ext,[status(esa)],[9]) ).
thf(1,conjecture,
! [TA: $tType,A: TA] :
( ( i @ TA @ A )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','trivia/I_THM_') ).
thf(2,negated_conjecture,
~ ! [TA: $tType,A: TA] :
( ( i @ TA @ A )
= A ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(4,plain,
~ ! [TA: $tType,A: TA] :
( ( i @ TA @ A )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,plain,
( ( i @ skt1 @ sk1 )
!= sk1 ),
inference(cnf,[status(esa)],[4]) ).
thf(6,plain,
( ( i @ skt1 @ sk1 )
!= sk1 ),
inference(lifteq,[status(thm)],[5]) ).
thf(11,plain,
! [A: skt1] :
( ( A != sk1 )
| ( ( i @ skt1 @ A )
!= ( i @ skt1 @ sk1 ) ) ),
inference(paramod_ordered,[status(thm)],[10,6]) ).
thf(12,plain,
sk1 != sk1,
inference(pattern_uni,[status(thm)],[11:[bind(A,$thf( sk1 ))]]) ).
thf(15,plain,
$false,
inference(simp,[status(thm)],[12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYP117^1 : TPTP v9.3.1. Released v9.3.0.
% 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 : n007.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 17:26:40 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 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
% 0.87/0.77 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.19/0.94 % [INFO] Parsing done (170ms).
% 1.19/0.96 % [INFO] Running in sequential loop mode.
% 1.79/1.37 % [INFO] eprover registered as external prover.
% 1.79/1.37 % [INFO] Scanning for conjecture ...
% 1.99/1.43 % [INFO] No direction of definition trivia/I_DEF_ detected. Treating as axiom ...
% 1.99/1.46 % [INFO] Found a conjecture (or negated_conjecture) and 1 axioms. Running axiom selection ...
% 2.16/1.50 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 2.16/1.50 % [INFO] No direction of definition trivia/I_DEF_ detected. Treating as axiom ...
% 2.16/1.50 % [INFO] Problem is higher-order (TPTP THF).
% 2.16/1.51 % [INFO] Type checking passed.
% 2.16/1.51 % [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 ...
% 3.42/2.06 % [INFO] Killing All external provers ...
% 3.42/2.06 % Time passed: 1719ms (effective reasoning time: 1093ms)
% 3.42/2.06 % 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)>
% 3.42/2.06 % Axioms used in derivation (1): trivia/I_DEF_
% 3.42/2.06 % No. of inferences in proof: 13
% 3.42/2.06 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1719 ms resp. 1093 ms w/o parsing
% 3.42/2.11 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.42/2.11 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------