%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SEU920^5 : TPTP v9.3.1. Released v4.0.0.
% 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 : n018.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 08:29:35 AM UTC 2026
% Result : Theorem 3.33s 2.09s
% Output : Refutation 3.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 11 unt; 0 typ; 4 def)
% Number of atoms : 27 ( 26 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 54 ( 12 ~; 1 |; 1 &; 35 @)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Number of types : 3 ( 3 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 43 ( 1 ^; 27 !; 11 ?; 43 :)
% ( 0 !>; 0 ?*; 0 @-; 4 @+)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(b_type,type,
b: $tType ).
thf(c_type,type,
c: $tType ).
thf(sk1_decl,type,
sk1: a > b ).
thf(sk2_decl,type,
sk2: b > c ).
thf(sk3_decl,type,
sk3: c > a ).
thf(sk4_decl,type,
sk4: c ).
thf(sk1_def,definition,
( sk1
= ( @+[A: a > b] :
~ ! [B: b > c] :
( ! [C: c] :
? [D: a] :
( ( B @ ( A @ D ) )
= C )
=> ! [C: c] :
? [D: b] :
( ( B @ D )
= C ) ) ) ) ).
thf(sk2_def,definition,
( sk2
= ( @+[A: b > c] :
~ ( ! [B: c] :
? [C: a] :
( ( A @ ( sk1 @ C ) )
= B )
=> ! [B: c] :
? [C: b] :
( ( A @ C )
= B ) ) ) ) ).
thf(sk3_def,definition,
( sk3
= ( ^ [A: c] :
@+[B: a] :
( ( sk2 @ ( sk1 @ B ) )
= A ) ) ) ).
thf(sk4_def,definition,
( sk4
= ( @+[A: c] :
~ ? [B: b] :
( ( sk2 @ B )
= A ) ) ) ).
thf(1,conjecture,
! [A: a > b,B: b > c] :
( ! [C: c] :
? [D: a] :
( ( B @ ( A @ D ) )
= C )
=> ! [C: c] :
? [D: b] :
( ( B @ D )
= C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cFN_THM_4_pme) ).
thf(2,negated_conjecture,
~ ! [A: a > b,B: b > c] :
( ! [C: c] :
? [D: a] :
( ( B @ ( A @ D ) )
= C )
=> ! [C: c] :
? [D: b] :
( ( B @ D )
= C ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: a > b,B: b > c] :
( ! [C: c] :
? [D: a] :
( ( B @ ( A @ D ) )
= C )
=> ! [C: c] :
? [D: b] :
( ( B @ D )
= C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
! [B: b,A: c] :
( ( ( sk2 @ ( sk1 @ ( sk3 @ A ) ) )
= A )
& ( ( sk2 @ B )
!= sk4 ) ),
inference(cnf,[status(esa)],[3]) ).
thf(5,plain,
! [A: c] :
( ( sk2 @ ( sk1 @ ( sk3 @ A ) ) )
= A ),
inference(cnfConj,[status(thm)],[4]) ).
thf(7,plain,
! [A: c] :
( ( sk2 @ ( sk1 @ ( sk3 @ A ) ) )
= A ),
inference(lifteq,[status(thm)],[5]) ).
thf(6,plain,
! [A: b] :
( ( sk2 @ A )
!= sk4 ),
inference(cnfConj,[status(thm)],[4]) ).
thf(8,plain,
! [A: b] :
( ( sk2 @ A )
!= sk4 ),
inference(lifteq,[status(thm)],[6]) ).
thf(9,plain,
! [A: b] :
( ( sk2 @ A )
!= sk4 ),
inference(simp,[status(thm)],[8]) ).
thf(10,plain,
! [B: b,A: c] :
( ( A != sk4 )
| ( ( sk2 @ ( sk1 @ ( sk3 @ A ) ) )
!= ( sk2 @ B ) ) ),
inference(paramod_ordered,[status(thm)],[7,9]) ).
thf(11,plain,
! [A: c] : ( A != sk4 ),
inference(pattern_uni,[status(thm)],[10:[bind(A,$thf( D )),bind(B,$thf( sk1 @ ( sk3 @ D ) ))]]) ).
thf(12,plain,
$false,
inference(simp,[status(thm)],[11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU920^5 : TPTP v9.3.1. Released v4.0.0.
% 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
% 0.09/0.19 % Computer : n018.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 14:48:26 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 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
% 0.89/0.78 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.24/0.97 % [INFO] Parsing done (181ms).
% 1.24/0.98 % [INFO] Running in sequential loop mode.
% 1.85/1.39 % [INFO] eprover registered as external prover.
% 1.85/1.39 % [INFO] Scanning for conjecture ...
% 2.04/1.48 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.21/1.52 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.21/1.52 % [INFO] Problem is higher-order (TPTP THF).
% 2.21/1.52 % [INFO] Type checking passed.
% 2.21/1.53 % [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 ...
% 3.33/2.09 % [INFO] Killing All external provers ...
% 3.33/2.09 % Time passed: 1749ms (effective reasoning time: 1099ms)
% 3.33/2.09 % 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)>
% 3.33/2.09 % Axioms used in derivation (0):
% 3.33/2.09 % No. of inferences in proof: 12
% 3.33/2.09 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1749 ms resp. 1099 ms w/o parsing
% 3.58/2.15 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.58/2.15 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------