%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : LAT044-1 : TPTP v9.3.1. Released v2.5.0.
% 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 : n010.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 07:46:32 AM UTC 2026
% Result : Unsatisfiable 18.30s 5.17s
% Output : Refutation 15.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 15
% Syntax : Number of formulae : 92 ( 64 unt; 0 typ; 0 def)
% Number of atoms : 126 ( 125 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 626 ( 64 ~; 34 |; 0 &; 528 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 115 ( 0 ^; 115 !; 0 ?; 115 :)
% Comments :
%------------------------------------------------------------------------------
thf(join_decl,type,
join: $i > $i > $i ).
thf(meet_decl,type,
meet: $i > $i > $i ).
thf(complement_decl,type,
complement: $i > $i ).
thf(a_decl,type,
a: $i ).
thf(b_decl,type,
b: $i ).
thf(n1_decl,type,
n1: $i ).
thf(n0_decl,type,
n0: $i ).
thf(14,axiom,
! [A: $i] :
( ( A @ complement @ complement )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',invertability3) ).
thf(43,plain,
! [A: $i] :
( ( A @ complement @ complement )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(44,plain,
! [A: $i] :
( ( A @ complement @ complement )
= A ),
inference(lifteq,[status(thm)],[43]) ).
thf(12,axiom,
! [A: $i] :
( ( A @ ( A @ complement @ join ) )
= n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',invertability1) ).
thf(39,plain,
! [A: $i] :
( ( A @ ( A @ complement @ join ) )
= n1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(40,plain,
! [A: $i] :
( ( A @ ( A @ complement @ join ) )
= n1 ),
inference(lifteq,[status(thm)],[39]) ).
thf(49,plain,
! [B: $i,A: $i] :
( ( ( A @ complement @ complement )
!= ( B @ complement ) )
| ( ( B @ ( A @ join ) )
= n1 ) ),
inference(paramod_ordered,[status(thm)],[44,40]) ).
thf(50,plain,
! [A: $i] :
( ( A @ complement @ ( A @ join ) )
= n1 ),
inference(pattern_uni,[status(thm)],[49:[bind(A,$thf( C )),bind(B,$thf( C @ complement ))]]) ).
thf(51,plain,
! [A: $i] :
( ( A @ complement @ ( A @ join ) )
= n1 ),
inference(simp,[status(thm)],[50]) ).
thf(4,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ join ) @ ( A @ meet ) )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption1) ).
thf(23,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ join ) @ ( A @ meet ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(24,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ join ) @ ( A @ meet ) )
= A ),
inference(lifteq,[status(thm)],[23]) ).
thf(216,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ complement @ ( A @ join ) )
!= ( C @ ( B @ join ) ) )
| ( ( n1 @ ( B @ meet ) )
= B ) ),
inference(paramod_ordered,[status(thm)],[51,24]) ).
thf(217,plain,
! [A: $i] :
( ( n1 @ ( A @ meet ) )
= A ),
inference(pattern_uni,[status(thm)],[216:[bind(A,$thf( D )),bind(B,$thf( D )),bind(C,$thf( D @ complement ))]]) ).
thf(250,plain,
! [A: $i] :
( ( n1 @ ( A @ meet ) )
= A ),
inference(simp,[status(thm)],[217]) ).
thf(13,axiom,
! [A: $i] :
( ( A @ ( A @ complement @ meet ) )
= n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',invertability2) ).
thf(41,plain,
! [A: $i] :
( ( A @ ( A @ complement @ meet ) )
= n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(42,plain,
! [A: $i] :
( ( A @ ( A @ complement @ meet ) )
= n0 ),
inference(lifteq,[status(thm)],[41]) ).
thf(259,plain,
! [B: $i,A: $i] :
( ( ( n1 @ ( A @ meet ) )
!= ( B @ ( B @ complement @ meet ) ) )
| ( A = n0 ) ),
inference(paramod_ordered,[status(thm)],[250,42]) ).
thf(260,plain,
( ( n1 @ complement )
= n0 ),
inference(pattern_uni,[status(thm)],[259:[bind(A,$thf( n1 @ complement )),bind(B,$thf( n1 ))]]) ).
thf(343,plain,
! [A: $i] :
( ( ( n1 @ complement )
!= ( A @ complement ) )
| ( ( A @ ( n0 @ join ) )
= n1 ) ),
inference(paramod_ordered,[status(thm)],[260,40]) ).
thf(344,plain,
( ( n1 @ ( n0 @ join ) )
= n1 ),
inference(pattern_uni,[status(thm)],[343:[bind(A,$thf( n1 ))]]) ).
thf(1,negated_conjecture,
( ( b @ ( a @ meet ) @ ( b @ complement @ join ) @ ( b @ ( a @ join ) @ ( a @ complement @ meet ) @ join ) )
!= n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_weak_orthomodular_law) ).
thf(16,plain,
( ( b @ ( a @ meet ) @ ( b @ complement @ join ) @ ( b @ ( a @ join ) @ ( a @ complement @ meet ) @ join ) )
!= n1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(17,plain,
( ( b @ ( a @ meet ) @ ( b @ complement @ join ) @ ( b @ ( a @ join ) @ ( a @ complement @ meet ) @ join ) )
!= n1 ),
inference(polarity_switch,[status(thm)],[16]) ).
thf(18,plain,
( ( b @ ( a @ meet ) @ ( b @ complement @ join ) @ ( b @ ( a @ join ) @ ( a @ complement @ meet ) @ join ) )
!= n1 ),
inference(lifteq,[status(thm)],[17]) ).
thf(71,plain,
! [A: $i] :
( ( ( A @ complement @ ( A @ join ) )
!= ( b @ ( a @ meet ) @ ( b @ complement @ join ) @ ( b @ ( a @ join ) @ ( a @ complement @ meet ) @ join ) ) )
| ( n1 != n1 ) ),
inference(paramod_ordered,[status(thm)],[51,18]) ).
thf(72,plain,
! [A: $i] :
( ( A @ complement @ ( A @ join ) )
!= ( b @ ( a @ meet ) @ ( b @ complement @ join ) @ ( b @ ( a @ join ) @ ( a @ complement @ meet ) @ join ) ) ),
inference(simp,[status(thm)],[71]) ).
thf(81,plain,
! [A: $i] :
( ( ( A @ complement )
!= ( b @ ( a @ meet ) @ ( b @ complement @ join ) ) )
| ( A
!= ( b @ ( a @ join ) @ ( a @ complement @ meet ) ) ) ),
inference(simp,[status(thm)],[72]) ).
thf(85,plain,
( ( b @ ( a @ join ) @ ( a @ complement @ meet ) @ complement )
!= ( b @ ( a @ meet ) @ ( b @ complement @ join ) ) ),
inference(simp,[status(thm)],[81]) ).
thf(354,plain,
! [A: $i] :
( ( ( n1 @ complement )
!= ( A @ complement ) )
| ( ( n0 @ complement )
= A ) ),
inference(paramod_ordered,[status(thm)],[260,44]) ).
thf(355,plain,
( ( n0 @ complement )
= n1 ),
inference(pattern_uni,[status(thm)],[354:[bind(A,$thf( n1 ))]]) ).
thf(6,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ meet ) )
= ( A @ ( B @ meet ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_meet) ).
thf(27,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ meet ) )
= ( A @ ( B @ meet ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(28,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ meet ) )
= ( A @ ( B @ meet ) ) ),
inference(lifteq,[status(thm)],[27]) ).
thf(634,plain,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ meet ) )
!= ( n1 @ ( C @ meet ) ) )
| ( ( A @ ( B @ meet ) )
= C ) ),
inference(paramod_ordered,[status(thm)],[28,250]) ).
thf(635,plain,
! [A: $i] :
( ( A @ ( n1 @ meet ) )
= A ),
inference(pattern_uni,[status(thm)],[634:[bind(A,$thf( A )),bind(B,$thf( n1 )),bind(C,$thf( A ))]]) ).
thf(5,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ meet ) @ ( A @ join ) )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption2) ).
thf(25,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ meet ) @ ( A @ join ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(26,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ meet ) @ ( A @ join ) )
= A ),
inference(lifteq,[status(thm)],[25]) ).
thf(1014,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( n1 @ meet ) )
!= ( C @ ( B @ meet ) ) )
| ( ( A @ ( B @ join ) )
= B ) ),
inference(paramod_ordered,[status(thm)],[635,26]) ).
thf(1015,plain,
! [A: $i] :
( ( A @ ( n1 @ join ) )
= n1 ),
inference(pattern_uni,[status(thm)],[1014:[bind(A,$thf( A )),bind(B,$thf( n1 )),bind(C,$thf( A ))]]) ).
thf(1045,plain,
! [A: $i] :
( ( ( A @ ( n1 @ join ) )
!= ( b @ ( a @ meet ) @ ( b @ complement @ join ) @ ( b @ ( a @ join ) @ ( a @ complement @ meet ) @ join ) ) )
| ( n1 != n1 ) ),
inference(paramod_ordered,[status(thm)],[1015,18]) ).
thf(1046,plain,
! [A: $i] :
( ( A @ ( n1 @ join ) )
!= ( b @ ( a @ meet ) @ ( b @ complement @ join ) @ ( b @ ( a @ join ) @ ( a @ complement @ meet ) @ join ) ) ),
inference(simp,[status(thm)],[1045]) ).
thf(1081,plain,
! [A: $i] :
( ( A
!= ( b @ ( a @ meet ) @ ( b @ complement @ join ) ) )
| ( ( b @ ( a @ join ) @ ( a @ complement @ meet ) )
!= n1 ) ),
inference(simp,[status(thm)],[1046]) ).
thf(1088,plain,
( ( b @ ( a @ join ) @ ( a @ complement @ meet ) )
!= n1 ),
inference(simp,[status(thm)],[1081]) ).
thf(11,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ meet ) @ complement )
= ( B @ complement @ ( A @ complement @ join ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility2) ).
thf(37,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ meet ) @ complement )
= ( B @ complement @ ( A @ complement @ join ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(2,axiom,
! [A: $i] :
( ( A @ ( A @ meet ) )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_of_meet) ).
thf(19,plain,
! [A: $i] :
( ( A @ ( A @ meet ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(20,plain,
! [A: $i] :
( ( A @ ( A @ meet ) )
= A ),
inference(lifteq,[status(thm)],[19]) ).
thf(7,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ join ) )
= ( A @ ( B @ join ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_join) ).
thf(29,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ join ) )
= ( A @ ( B @ join ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(3,axiom,
! [A: $i] :
( ( A @ ( A @ join ) )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_of_join) ).
thf(21,plain,
! [A: $i] :
( ( A @ ( A @ join ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(9,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ join ) @ join ) )
= ( C @ ( B @ join ) @ ( A @ join ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_join) ).
thf(33,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ join ) @ join ) )
= ( C @ ( B @ join ) @ ( A @ join ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(15,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ join ) @ ( A @ complement @ meet ) @ ( A @ join ) )
= ( B @ ( A @ join ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',orthomodular_law) ).
thf(45,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ join ) @ ( A @ complement @ meet ) @ ( A @ join ) )
= ( B @ ( A @ join ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(8,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ meet ) @ meet ) )
= ( C @ ( B @ meet ) @ ( A @ meet ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_meet) ).
thf(31,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ meet ) @ meet ) )
= ( C @ ( B @ meet ) @ ( A @ meet ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(32,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ meet ) @ meet ) )
= ( C @ ( B @ meet ) @ ( A @ meet ) ) ),
inference(lifteq,[status(thm)],[31]) ).
thf(34,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ join ) @ join ) )
= ( C @ ( B @ join ) @ ( A @ join ) ) ),
inference(lifteq,[status(thm)],[33]) ).
thf(22,plain,
! [A: $i] :
( ( A @ ( A @ join ) )
= A ),
inference(lifteq,[status(thm)],[21]) ).
thf(153,plain,
! [A: $i] :
( ( ( A @ ( A @ meet ) )
!= ( b @ ( a @ meet ) ) )
| ( ( A @ ( b @ complement @ join ) )
!= ( b @ ( a @ join ) @ ( a @ complement @ meet ) @ complement ) ) ),
inference(paramod_ordered,[status(thm)],[20,85]) ).
thf(159,plain,
! [A: $i] :
( ( A != b )
| ( A != a )
| ( ( A @ ( b @ complement @ join ) )
!= ( b @ ( a @ join ) @ ( a @ complement @ meet ) @ complement ) ) ),
inference(simp,[status(thm)],[153]) ).
thf(176,plain,
( ( b != a )
| ( ( a @ ( b @ complement @ join ) )
!= ( b @ ( a @ join ) @ ( a @ complement @ meet ) @ complement ) ) ),
inference(simp,[status(thm)],[159]) ).
thf(295,plain,
! [A: $i] :
( ( ( A @ ( A @ join ) )
!= ( b @ ( a @ join ) ) )
| ( b != a )
| ( ( A @ ( a @ complement @ meet ) @ complement )
!= ( a @ ( b @ complement @ join ) ) ) ),
inference(paramod_ordered,[status(thm)],[22,176]) ).
thf(307,plain,
! [A: $i] :
( ( A != b )
| ( A != a )
| ( b != a )
| ( ( A @ ( a @ complement @ meet ) @ complement )
!= ( a @ ( b @ complement @ join ) ) ) ),
inference(simp,[status(thm)],[295]) ).
thf(321,plain,
( ( b != a )
| ( ( a @ ( a @ complement @ meet ) @ complement )
!= ( a @ ( b @ complement @ join ) ) ) ),
inference(simp,[status(thm)],[307]) ).
thf(326,plain,
( ( b != a )
| ( ( a @ ( b @ complement @ join ) )
!= ( n0 @ complement ) ) ),
inference(rewrite,[status(thm)],[321,42]) ).
thf(464,plain,
( ( b != a )
| ( ( a @ ( b @ complement @ join ) )
!= n1 ) ),
inference(rewrite,[status(thm)],[326,355]) ).
thf(604,plain,
! [A: $i] :
( ( ( A @ ( A @ complement @ join ) )
!= ( a @ ( b @ complement @ join ) ) )
| ( b != a )
| ( n1 != n1 ) ),
inference(paramod_ordered,[status(thm)],[40,464]) ).
thf(605,plain,
! [A: $i] :
( ( ( A @ ( A @ complement @ join ) )
!= ( a @ ( b @ complement @ join ) ) )
| ( b != a ) ),
inference(simp,[status(thm)],[604]) ).
thf(612,plain,
! [A: $i] :
( ( A != a )
| ( ( A @ complement )
!= ( b @ complement ) )
| ( b != a ) ),
inference(simp,[status(thm)],[605]) ).
thf(620,plain,
( ( ( b @ complement )
!= ( a @ complement ) )
| ( b != a ) ),
inference(simp,[status(thm)],[612]) ).
thf(735,plain,
( ( b != a )
| ( b != a ) ),
inference(simp,[status(thm)],[620]) ).
thf(743,plain,
b != a,
inference(simp,[status(thm)],[735]) ).
thf(52,plain,
! [B: $i,A: $i] :
( ( ( A @ complement @ complement )
!= ( B @ complement ) )
| ( ( B @ ( A @ meet ) )
= n0 ) ),
inference(paramod_ordered,[status(thm)],[44,42]) ).
thf(53,plain,
! [A: $i] :
( ( A @ complement @ ( A @ meet ) )
= n0 ),
inference(pattern_uni,[status(thm)],[52:[bind(A,$thf( C )),bind(B,$thf( C @ complement ))]]) ).
thf(54,plain,
! [A: $i] :
( ( A @ complement @ ( A @ meet ) )
= n0 ),
inference(simp,[status(thm)],[53]) ).
thf(67,plain,
! [A: $i] :
( ( ( A @ ( A @ complement @ join ) )
!= ( b @ ( a @ meet ) @ ( b @ complement @ join ) @ ( b @ ( a @ join ) @ ( a @ complement @ meet ) @ join ) ) )
| ( n1 != n1 ) ),
inference(paramod_ordered,[status(thm)],[40,18]) ).
thf(68,plain,
! [A: $i] :
( ( A @ ( A @ complement @ join ) )
!= ( b @ ( a @ meet ) @ ( b @ complement @ join ) @ ( b @ ( a @ join ) @ ( a @ complement @ meet ) @ join ) ) ),
inference(simp,[status(thm)],[67]) ).
thf(82,plain,
! [A: $i] :
( ( A
!= ( b @ ( a @ meet ) @ ( b @ complement @ join ) ) )
| ( ( A @ complement )
!= ( b @ ( a @ join ) @ ( a @ complement @ meet ) ) ) ),
inference(simp,[status(thm)],[68]) ).
thf(86,plain,
( ( b @ ( a @ join ) @ ( a @ complement @ meet ) )
!= ( b @ ( a @ meet ) @ ( b @ complement @ join ) @ complement ) ),
inference(simp,[status(thm)],[82]) ).
thf(10,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ join ) @ complement )
= ( B @ complement @ ( A @ complement @ meet ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility1) ).
thf(35,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ join ) @ complement )
= ( B @ complement @ ( A @ complement @ meet ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(414,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ complement @ ( A @ meet ) )
!= ( C @ ( B @ meet ) ) )
| ( ( n0 @ ( B @ join ) )
= B ) ),
inference(paramod_ordered,[status(thm)],[54,26]) ).
thf(415,plain,
! [A: $i] :
( ( n0 @ ( A @ join ) )
= A ),
inference(pattern_uni,[status(thm)],[414:[bind(A,$thf( D )),bind(B,$thf( D )),bind(C,$thf( D @ complement ))]]) ).
thf(441,plain,
! [A: $i] :
( ( n0 @ ( A @ join ) )
= A ),
inference(simp,[status(thm)],[415]) ).
thf(30,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ join ) )
= ( A @ ( B @ join ) ) ),
inference(lifteq,[status(thm)],[29]) ).
thf(3035,plain,
$false,
inference(e,[status(thm)],[344,85,41,39,355,18,43,250,635,1088,42,24,37,25,20,29,260,28,21,33,45,32,34,22,44,743,27,54,86,1015,35,31,441,16,40,26,23,30,51,19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT044-1 : TPTP v9.3.1. Released v2.5.0.
% 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
% 0.16/0.42 % Computer : n010.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Fri Sep 25 19:59:29 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.42 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
% 0.86/1.00 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.26/1.19 % [INFO] Parsing done (184ms).
% 1.40/1.20 % [INFO] Running in sequential loop mode.
% 2.05/1.60 % [INFO] eprover registered as external prover.
% 2.05/1.61 % [INFO] Scanning for conjecture ...
% 2.24/1.70 % [INFO] Found a conjecture (or negated_conjecture) and 14 axioms. Running axiom selection ...
% 2.24/1.73 % [INFO] Axiom selection finished. Selected 14 axioms (removed 0 axioms).
% 2.24/1.75 % [INFO] Problem is propositional (TPTP CNF).
% 2.24/1.76 % [INFO] Type checking passed.
% 2.24/1.76 % [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 ...
% 18.30/5.17 % External prover 'e' found a proof!
% 18.30/5.17 % [INFO] Killing All external provers ...
% 18.30/5.17 % Time passed: 4606ms (effective reasoning time: 3958ms)
% 18.30/5.17 % Axioms used in derivation (14): compatibility2, absorption1, commutativity_of_meet, invertability3, associativity_of_join, idempotence_of_meet, orthomodular_law, invertability2, compatibility1, commutativity_of_join, associativity_of_meet, invertability1, idempotence_of_join, absorption2
% 18.30/5.17 % No. of inferences in proof: 92
% 18.30/5.17 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 4606 ms resp. 3958 ms w/o parsing
% 15.75/5.22 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 15.75/5.22 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------