%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYO334^5 : 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 : n008.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 08:45:36 AM UTC 2026
% Result : Theorem 9.43s 3.61s
% Output : Refutation 9.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 8
% Syntax : Number of formulae : 50 ( 25 unt; 0 typ; 7 def)
% Number of atoms : 64 ( 45 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 707 ( 55 ~; 29 |; 23 &; 560 @)
% ( 0 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 6 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 62 ( 62 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 164 ( 1 ^; 150 !; 6 ?; 164 :)
% ( 0 !>; 0 ?*; 0 @-; 7 @+)
% Comments :
%------------------------------------------------------------------------------
thf(c_type,type,
c: $tType ).
thf(b_type,type,
b: $tType ).
thf(a_type,type,
a: $tType ).
thf(c_starc_decl,type,
c_starc: c > c > c ).
thf(c_starb_decl,type,
c_starb: b > b > b ).
thf(c_stara_decl,type,
c_stara: a > a > a ).
thf(sk1_decl,type,
sk1: a > b ).
thf(sk2_decl,type,
sk2: a > c ).
thf(sk3_decl,type,
sk3: b > c ).
thf(sk4_decl,type,
sk4: b > a ).
thf(sk5_decl,type,
sk5: b ).
thf(sk6_decl,type,
sk6: b ).
thf(sk7_decl,type,
sk7: c > $o ).
thf(sk1_def,definition,
( sk1
= ( @+[A: a > b] :
~ ! [B: a > c,C: b > c] :
( ( ! [D: a,E: c > $o] :
( ( E @ ( C @ ( A @ D ) ) )
=> ( E @ ( B @ D ) ) )
& ! [D: b] :
? [E: a] :
! [F: b > $o] :
( ( F @ ( A @ E ) )
=> ( F @ D ) )
& ! [D: a,E: a,F: b > $o] :
( ( F @ ( A @ ( c_stara @ D @ E ) ) )
=> ( F @ ( c_starb @ ( A @ D ) @ ( A @ E ) ) ) )
& ! [D: a,E: a,F: c > $o] :
( ( F @ ( B @ ( c_stara @ D @ E ) ) )
=> ( F @ ( c_starc @ ( B @ D ) @ ( B @ E ) ) ) ) )
=> ! [D: b,E: b,F: c > $o] :
( ( F @ ( C @ ( c_starb @ D @ E ) ) )
=> ( F @ ( c_starc @ ( C @ D ) @ ( C @ E ) ) ) ) ) ) ) ).
thf(sk2_def,definition,
( sk2
= ( @+[A: a > c] :
~ ! [B: b > c] :
( ( ! [C: a,D: c > $o] :
( ( D @ ( B @ ( sk1 @ C ) ) )
=> ( D @ ( A @ C ) ) )
& ! [C: b] :
? [D: a] :
! [E: b > $o] :
( ( E @ ( sk1 @ D ) )
=> ( E @ C ) )
& ! [C: a,D: a,E: b > $o] :
( ( E @ ( sk1 @ ( c_stara @ C @ D ) ) )
=> ( E @ ( c_starb @ ( sk1 @ C ) @ ( sk1 @ D ) ) ) )
& ! [C: a,D: a,E: c > $o] :
( ( E @ ( A @ ( c_stara @ C @ D ) ) )
=> ( E @ ( c_starc @ ( A @ C ) @ ( A @ D ) ) ) ) )
=> ! [C: b,D: b,E: c > $o] :
( ( E @ ( B @ ( c_starb @ C @ D ) ) )
=> ( E @ ( c_starc @ ( B @ C ) @ ( B @ D ) ) ) ) ) ) ) ).
thf(sk3_def,definition,
( sk3
= ( @+[A: b > c] :
~ ( ( ! [B: a,C: c > $o] :
( ( C @ ( A @ ( sk1 @ B ) ) )
=> ( C @ ( sk2 @ B ) ) )
& ! [B: b] :
? [C: a] :
! [D: b > $o] :
( ( D @ ( sk1 @ C ) )
=> ( D @ B ) )
& ! [B: a,C: a,D: b > $o] :
( ( D @ ( sk1 @ ( c_stara @ B @ C ) ) )
=> ( D @ ( c_starb @ ( sk1 @ B ) @ ( sk1 @ C ) ) ) )
& ! [B: a,C: a,D: c > $o] :
( ( D @ ( sk2 @ ( c_stara @ B @ C ) ) )
=> ( D @ ( c_starc @ ( sk2 @ B ) @ ( sk2 @ C ) ) ) ) )
=> ! [B: b,C: b,D: c > $o] :
( ( D @ ( A @ ( c_starb @ B @ C ) ) )
=> ( D @ ( c_starc @ ( A @ B ) @ ( A @ C ) ) ) ) ) ) ) ).
thf(sk4_def,definition,
( sk4
= ( ^ [A: b] :
@+[B: a] :
! [C: b > $o] :
( ( C @ ( sk1 @ B ) )
=> ( C @ A ) ) ) ) ).
thf(sk5_def,definition,
( sk5
= ( @+[A: b] :
~ ! [B: b,C: c > $o] :
( ( C @ ( sk3 @ ( c_starb @ A @ B ) ) )
=> ( C @ ( c_starc @ ( sk3 @ A ) @ ( sk3 @ B ) ) ) ) ) ) ).
thf(sk6_def,definition,
( sk6
= ( @+[A: b] :
~ ! [B: c > $o] :
( ( B @ ( sk3 @ ( c_starb @ sk5 @ A ) ) )
=> ( B @ ( c_starc @ ( sk3 @ sk5 ) @ ( sk3 @ A ) ) ) ) ) ) ).
thf(sk7_def,definition,
( sk7
= ( @+[A: c > $o] :
~ ( ( A @ ( sk3 @ ( c_starb @ sk5 @ sk6 ) ) )
=> ( A @ ( c_starc @ ( sk3 @ sk5 ) @ ( sk3 @ sk6 ) ) ) ) ) ) ).
thf(1,conjecture,
! [A: a > b,B: a > c,C: b > c] :
( ( ! [D: a,E: c > $o] :
( ( E @ ( C @ ( A @ D ) ) )
=> ( E @ ( B @ D ) ) )
& ! [D: b] :
? [E: a] :
! [F: b > $o] :
( ( F @ ( A @ E ) )
=> ( F @ D ) )
& ! [D: a,E: a,F: b > $o] :
( ( F @ ( A @ ( c_stara @ D @ E ) ) )
=> ( F @ ( c_starb @ ( A @ D ) @ ( A @ E ) ) ) )
& ! [D: a,E: a,F: c > $o] :
( ( F @ ( B @ ( c_stara @ D @ E ) ) )
=> ( F @ ( c_starc @ ( B @ D ) @ ( B @ E ) ) ) ) )
=> ! [D: b,E: b,F: c > $o] :
( ( F @ ( C @ ( c_starb @ D @ E ) ) )
=> ( F @ ( c_starc @ ( C @ D ) @ ( C @ E ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM270_INST) ).
thf(2,negated_conjecture,
~ ! [A: a > b,B: a > c,C: b > c] :
( ( ! [D: a,E: c > $o] :
( ( E @ ( C @ ( A @ D ) ) )
=> ( E @ ( B @ D ) ) )
& ! [D: b] :
? [E: a] :
! [F: b > $o] :
( ( F @ ( A @ E ) )
=> ( F @ D ) )
& ! [D: a,E: a,F: b > $o] :
( ( F @ ( A @ ( c_stara @ D @ E ) ) )
=> ( F @ ( c_starb @ ( A @ D ) @ ( A @ E ) ) ) )
& ! [D: a,E: a,F: c > $o] :
( ( F @ ( B @ ( c_stara @ D @ E ) ) )
=> ( F @ ( c_starc @ ( B @ D ) @ ( B @ E ) ) ) ) )
=> ! [D: b,E: b,F: c > $o] :
( ( F @ ( C @ ( c_starb @ D @ E ) ) )
=> ( F @ ( c_starc @ ( C @ D ) @ ( C @ E ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: a > b,B: a > c,C: b > c] :
( ( ! [D: a,E: c > $o] :
( ( E @ ( C @ ( A @ D ) ) )
=> ( E @ ( B @ D ) ) )
& ! [D: b] :
? [E: a] :
! [F: b > $o] :
( ( F @ ( A @ E ) )
=> ( F @ D ) )
& ! [D: a,E: a,F: b > $o] :
( ( F @ ( A @ ( c_stara @ D @ E ) ) )
=> ( F @ ( c_starb @ ( A @ D ) @ ( A @ E ) ) ) )
& ! [D: a,E: a,F: c > $o] :
( ( F @ ( B @ ( c_stara @ D @ E ) ) )
=> ( F @ ( c_starc @ ( B @ D ) @ ( B @ E ) ) ) ) )
=> ! [D: b,E: b,F: c > $o] :
( ( F @ ( C @ ( c_starb @ D @ E ) ) )
=> ( F @ ( c_starc @ ( C @ D ) @ ( C @ E ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
! [J: c > $o,I: a,H: a,G: b > $o,F: a,E: a,D: b > $o,C: b,B: c > $o,A: a] :
( ( ~ ( B @ ( sk3 @ ( sk1 @ A ) ) )
| ( B @ ( sk2 @ A ) ) )
& ( ~ ( D @ ( sk1 @ ( sk4 @ C ) ) )
| ( D @ C ) )
& ( ~ ( G @ ( sk1 @ ( c_stara @ E @ F ) ) )
| ( G @ ( c_starb @ ( sk1 @ E ) @ ( sk1 @ F ) ) ) )
& ( ~ ( J @ ( sk2 @ ( c_stara @ H @ I ) ) )
| ( J @ ( c_starc @ ( sk2 @ H ) @ ( sk2 @ I ) ) ) )
& ( sk7 @ ( sk3 @ ( c_starb @ sk5 @ sk6 ) ) )
& ~ ( sk7 @ ( c_starc @ ( sk3 @ sk5 ) @ ( sk3 @ sk6 ) ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(10,plain,
! [C: b > $o,B: a,A: a] :
( ~ ( C @ ( sk1 @ ( c_stara @ A @ B ) ) )
| ( C @ ( c_starb @ ( sk1 @ A ) @ ( sk1 @ B ) ) ) ),
inference(cnfConj,[status(thm)],[4]) ).
thf(12,plain,
! [B: a,A: a] :
( ( ( sk1 @ ( c_stara @ A @ B ) )
!= ( sk1 @ ( c_stara @ A @ B ) ) )
| ( ( sk1 @ ( c_stara @ A @ B ) )
= ( c_starb @ ( sk1 @ A ) @ ( sk1 @ B ) ) ) ),
inference(replace_leibeq,[status(thm)],[10:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( (=) @ b @ ( sk1 @ ( c_stara @ A @ B ) ) ))]]) ).
thf(22,plain,
! [B: a,A: a] :
( ( ( sk1 @ ( c_stara @ A @ B ) )
!= ( sk1 @ ( c_stara @ A @ B ) ) )
| ( ( sk1 @ ( c_stara @ A @ B ) )
= ( c_starb @ ( sk1 @ A ) @ ( sk1 @ B ) ) ) ),
inference(lifteq,[status(thm)],[12]) ).
thf(23,plain,
! [B: a,A: a] :
( ( sk1 @ ( c_stara @ A @ B ) )
= ( c_starb @ ( sk1 @ A ) @ ( sk1 @ B ) ) ),
inference(simp,[status(thm)],[22]) ).
thf(9,plain,
! [B: c > $o,A: a] :
( ~ ( B @ ( sk3 @ ( sk1 @ A ) ) )
| ( B @ ( sk2 @ A ) ) ),
inference(cnfConj,[status(thm)],[4]) ).
thf(14,plain,
! [A: a] :
( ( ( sk3 @ ( sk1 @ A ) )
!= ( sk3 @ ( sk1 @ A ) ) )
| ( ( sk3 @ ( sk1 @ A ) )
= ( sk2 @ A ) ) ),
inference(replace_leibeq,[status(thm)],[9:[bind(A,$thf( A )),bind(B,$thf( (=) @ c @ ( sk3 @ ( sk1 @ A ) ) ))]]) ).
thf(17,plain,
! [A: a] :
( ( ( sk3 @ ( sk1 @ A ) )
!= ( sk3 @ ( sk1 @ A ) ) )
| ( ( sk3 @ ( sk1 @ A ) )
= ( sk2 @ A ) ) ),
inference(lifteq,[status(thm)],[14]) ).
thf(18,plain,
! [A: a] :
( ( sk3 @ ( sk1 @ A ) )
= ( sk2 @ A ) ),
inference(simp,[status(thm)],[17]) ).
thf(8,plain,
sk7 @ ( sk3 @ ( c_starb @ sk5 @ sk6 ) ),
inference(cnfConj,[status(thm)],[4]) ).
thf(6,plain,
! [C: c > $o,B: a,A: a] :
( ~ ( C @ ( sk2 @ ( c_stara @ A @ B ) ) )
| ( C @ ( c_starc @ ( sk2 @ A ) @ ( sk2 @ B ) ) ) ),
inference(cnfConj,[status(thm)],[4]) ).
thf(19,plain,
! [C: c > $o,B: a,A: a] :
( ~ ( C @ ( sk2 @ ( c_stara @ A @ B ) ) )
| ( C @ ( c_starc @ ( sk2 @ A ) @ ( sk2 @ B ) ) ) ),
inference(simp,[status(thm)],[6]) ).
thf(5,plain,
! [B: b > $o,A: b] :
( ~ ( B @ ( sk1 @ ( sk4 @ A ) ) )
| ( B @ A ) ),
inference(cnfConj,[status(thm)],[4]) ).
thf(11,plain,
! [A: b] :
( ( ( sk1 @ ( sk4 @ A ) )
!= ( sk1 @ ( sk4 @ A ) ) )
| ( ( sk1 @ ( sk4 @ A ) )
= A ) ),
inference(replace_leibeq,[status(thm)],[5:[bind(A,$thf( A )),bind(B,$thf( (=) @ b @ ( sk1 @ ( sk4 @ A ) ) ))]]) ).
thf(24,plain,
! [A: b] :
( ( ( sk1 @ ( sk4 @ A ) )
!= ( sk1 @ ( sk4 @ A ) ) )
| ( ( sk1 @ ( sk4 @ A ) )
= A ) ),
inference(lifteq,[status(thm)],[11]) ).
thf(25,plain,
! [A: b] :
( ( sk1 @ ( sk4 @ A ) )
= A ),
inference(simp,[status(thm)],[24]) ).
thf(30,plain,
! [C: c > $o,B: a,A: b] :
( ~ ( C @ ( sk3 @ A ) )
| ( C @ ( sk2 @ B ) )
| ( ( sk1 @ ( sk4 @ A ) )
!= ( sk1 @ B ) ) ),
inference(paramod_ordered,[status(thm)],[25,9]) ).
thf(31,plain,
! [B: b,A: c > $o] :
( ~ ( A @ ( sk3 @ B ) )
| ( A @ ( sk2 @ ( sk4 @ B ) ) ) ),
inference(pattern_uni,[status(thm)],[30:[bind(A,$thf( D )),bind(B,$thf( sk4 @ D ))]]) ).
thf(39,plain,
! [A: b] :
( ( ( sk3 @ A )
!= ( sk3 @ A ) )
| ( ( sk3 @ A )
= ( sk2 @ ( sk4 @ A ) ) ) ),
inference(replace_leibeq,[status(thm)],[31:[bind(A,$thf( (=) @ c @ ( sk3 @ B ) ))]]) ).
thf(40,plain,
! [A: b] :
( ( ( sk3 @ A )
!= ( sk3 @ A ) )
| ( ( sk3 @ A )
= ( sk2 @ ( sk4 @ A ) ) ) ),
inference(lifteq,[status(thm)],[39]) ).
thf(42,plain,
! [A: b] :
( ( sk3 @ A )
= ( sk2 @ ( sk4 @ A ) ) ),
inference(pattern_uni,[status(thm)],[40:[]]) ).
thf(51,plain,
! [A: b] :
( ( sk3 @ A )
= ( sk2 @ ( sk4 @ A ) ) ),
inference(simp,[status(thm)],[42]) ).
thf(7,plain,
~ ( sk7 @ ( c_starc @ ( sk3 @ sk5 ) @ ( sk3 @ sk6 ) ) ),
inference(cnfConj,[status(thm)],[4]) ).
thf(77,plain,
! [A: b] :
( ~ ( sk7 @ ( c_starc @ ( sk3 @ sk5 ) @ ( sk2 @ ( sk4 @ A ) ) ) )
| ( ( sk3 @ A )
!= ( sk3 @ sk6 ) ) ),
inference(paramod_ordered,[status(thm)],[51,7]) ).
thf(78,plain,
~ ( sk7 @ ( c_starc @ ( sk3 @ sk5 ) @ ( sk2 @ ( sk4 @ sk6 ) ) ) ),
inference(pattern_uni,[status(thm)],[77:[bind(A,$thf( sk6 ))]]) ).
thf(146,plain,
! [A: b] :
( ~ ( sk7 @ ( c_starc @ ( sk2 @ ( sk4 @ A ) ) @ ( sk2 @ ( sk4 @ sk6 ) ) ) )
| ( ( sk3 @ A )
!= ( sk3 @ sk5 ) ) ),
inference(paramod_ordered,[status(thm)],[51,78]) ).
thf(147,plain,
~ ( sk7 @ ( c_starc @ ( sk2 @ ( sk4 @ sk5 ) ) @ ( sk2 @ ( sk4 @ sk6 ) ) ) ),
inference(pattern_uni,[status(thm)],[146:[bind(A,$thf( sk5 ))]]) ).
thf(245,plain,
! [C: c > $o,B: a,A: a] :
( ~ ( C @ ( sk2 @ ( c_stara @ A @ B ) ) )
| ~ $true
| ( ( C @ ( c_starc @ ( sk2 @ A ) @ ( sk2 @ B ) ) )
!= ( sk7 @ ( c_starc @ ( sk2 @ ( sk4 @ sk5 ) ) @ ( sk2 @ ( sk4 @ sk6 ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[19,147]) ).
thf(246,plain,
! [C: c > $o,B: a,A: a] :
( ~ ( C @ ( sk2 @ ( c_stara @ A @ B ) ) )
| ( ( C @ ( c_starc @ ( sk2 @ A ) @ ( sk2 @ B ) ) )
!= ( sk7 @ ( c_starc @ ( sk2 @ ( sk4 @ sk5 ) ) @ ( sk2 @ ( sk4 @ sk6 ) ) ) ) ) ),
inference(simp,[status(thm)],[245]) ).
thf(286,plain,
~ ( sk7 @ ( sk2 @ ( c_stara @ ( sk4 @ sk5 ) @ ( sk4 @ sk6 ) ) ) ),
inference(pre_uni,[status(thm)],[246:[bind(A,$thf( sk4 @ sk5 )),bind(B,$thf( sk4 @ sk6 )),bind(C,$thf( sk7 ))]]) ).
thf(312,plain,
( ~ $true
| ( ( sk7 @ ( sk3 @ ( c_starb @ sk5 @ sk6 ) ) )
!= ( sk7 @ ( sk2 @ ( c_stara @ ( sk4 @ sk5 ) @ ( sk4 @ sk6 ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[8,286]) ).
thf(313,plain,
( ( sk7 @ ( sk3 @ ( c_starb @ sk5 @ sk6 ) ) )
!= ( sk7 @ ( sk2 @ ( c_stara @ ( sk4 @ sk5 ) @ ( sk4 @ sk6 ) ) ) ) ),
inference(simp,[status(thm)],[312]) ).
thf(320,plain,
( ( sk3 @ ( c_starb @ sk5 @ sk6 ) )
!= ( sk2 @ ( c_stara @ ( sk4 @ sk5 ) @ ( sk4 @ sk6 ) ) ) ),
inference(simp,[status(thm)],[313]) ).
thf(335,plain,
! [A: a] :
( ( ( sk2 @ A )
!= ( sk2 @ ( c_stara @ ( sk4 @ sk5 ) @ ( sk4 @ sk6 ) ) ) )
| ( ( sk3 @ ( sk1 @ A ) )
!= ( sk3 @ ( c_starb @ sk5 @ sk6 ) ) ) ),
inference(paramod_ordered,[status(thm)],[18,320]) ).
thf(342,plain,
! [A: a] :
( ( A
!= ( c_stara @ ( sk4 @ sk5 ) @ ( sk4 @ sk6 ) ) )
| ( ( sk1 @ A )
!= ( c_starb @ sk5 @ sk6 ) ) ),
inference(simp,[status(thm)],[335]) ).
thf(348,plain,
( ( sk1 @ ( c_stara @ ( sk4 @ sk5 ) @ ( sk4 @ sk6 ) ) )
!= ( c_starb @ sk5 @ sk6 ) ),
inference(simp,[status(thm)],[342]) ).
thf(442,plain,
! [B: a,A: a] :
( ( ( c_starb @ ( sk1 @ A ) @ ( sk1 @ B ) )
!= ( c_starb @ sk5 @ sk6 ) )
| ( ( sk1 @ ( c_stara @ A @ B ) )
!= ( sk1 @ ( c_stara @ ( sk4 @ sk5 ) @ ( sk4 @ sk6 ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[23,348]) ).
thf(443,plain,
( ( c_starb @ ( sk1 @ ( sk4 @ sk5 ) ) @ ( sk1 @ ( sk4 @ sk6 ) ) )
!= ( c_starb @ sk5 @ sk6 ) ),
inference(pattern_uni,[status(thm)],[442:[bind(A,$thf( sk4 @ sk5 )),bind(B,$thf( sk4 @ sk6 ))]]) ).
thf(506,plain,
( ( c_starb @ sk5 @ sk6 )
!= ( c_starb @ sk5 @ sk6 ) ),
inference(rewrite,[status(thm)],[443,25]) ).
thf(507,plain,
$false,
inference(simp,[status(thm)],[506]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO334^5 : 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
% 0.11/0.20 % Computer : n008.cluster.edu
% 0.11/0.20 % Model : x86_64 x86_64
% 0.11/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.20 % Memory : 8046.5625MB
% 0.11/0.20 % OS : Linux 6.8.0-71-generic
% 0.11/0.20 % CPULimit : 300
% 0.11/0.20 % WCLimit : 300
% 0.11/0.20 % DateTime : Tue Sep 29 16:47:09 UTC 2026
% 0.11/0.21 % CPUTime :
% 0.11/0.21 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
% 0.87/0.79 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.18/0.98 % [INFO] Parsing done (189ms).
% 1.18/1.00 % [INFO] Running in sequential loop mode.
% 1.94/1.42 % [INFO] eprover registered as external prover.
% 1.94/1.43 % [INFO] Scanning for conjecture ...
% 2.13/1.54 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.13/1.59 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.13/1.59 % [INFO] Problem is higher-order (TPTP THF).
% 2.13/1.59 % [INFO] Type checking passed.
% 2.32/1.60 % [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 ...
% 9.43/3.60 % [INFO] Killing All external provers ...
% 9.43/3.61 % Time passed: 3256ms (effective reasoning time: 2599ms)
% 9.43/3.61 % 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)>
% 9.43/3.61 % Axioms used in derivation (0):
% 9.43/3.61 % No. of inferences in proof: 43
% 9.43/3.61 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 3256 ms resp. 2599 ms w/o parsing
% 9.43/3.68 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 9.43/3.68 % [INFO] Killing All external provers ...
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