TSTP Solution File: LAT399-2 by Leo-III---1.7.7
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : LAT399-2 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 19 11:28:16 EDT 2023
% Result : Unsatisfiable 90.72s 22.24s
% Output : Refutation 91.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 22
% Syntax : Number of formulae : 87 ( 52 unt; 10 typ; 0 def)
% Number of atoms : 107 ( 106 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 651 ( 48 ~; 30 |; 0 &; 573 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 173 ( 0 ^; 173 !; 0 ?; 173 :)
% Comments :
%------------------------------------------------------------------------------
thf(join_type,type,
join: $i > $i > $i ).
thf(upme_type,type,
upme: $i > $i > $i > $i ).
thf(meet_type,type,
meet: $i > $i > $i ).
thf(a_type,type,
a: $i ).
thf(z1_type,type,
z1: $i ).
thf(z2_type,type,
z2: $i ).
thf(z3_type,type,
z3: $i ).
thf(lome_type,type,
lome: $i > $i > $i > $i ).
thf(upjo_type,type,
upjo: $i > $i > $i > $i ).
thf(lojo_type,type,
lojo: $i > $i > $i > $i ).
thf(8,axiom,
! [B: $i,A: $i] :
( ( meet @ A @ ( join @ A @ B ) )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption_003) ).
thf(28,plain,
! [B: $i,A: $i] :
( ( meet @ A @ ( join @ A @ B ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(29,plain,
! [B: $i,A: $i] :
( ( meet @ A @ ( join @ A @ B ) )
= A ),
inference(lifteq,[status(thm)],[28]) ).
thf(7,axiom,
! [B: $i,A: $i] :
( ( join @ A @ ( meet @ A @ B ) )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption) ).
thf(26,plain,
! [B: $i,A: $i] :
( ( join @ A @ ( meet @ A @ B ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(27,plain,
! [B: $i,A: $i] :
( ( join @ A @ ( meet @ A @ B ) )
= A ),
inference(lifteq,[status(thm)],[26]) ).
thf(5,axiom,
! [B: $i,A: $i] :
( ( join @ A @ B )
= ( join @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_001) ).
thf(22,plain,
! [B: $i,A: $i] :
( ( join @ A @ B )
= ( join @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(23,plain,
! [B: $i,A: $i] :
( ( join @ A @ B )
= ( join @ B @ A ) ),
inference(lifteq,[status(thm)],[22]) ).
thf(44,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A
= ( join @ D @ C ) )
| ( ( join @ A @ ( meet @ A @ B ) )
!= ( join @ C @ D ) ) ),
inference(paramod_ordered,[status(thm)],[27,23]) ).
thf(45,plain,
! [B: $i,A: $i] :
( ( join @ ( meet @ A @ B ) @ A )
= A ),
inference(pattern_uni,[status(thm)],[44:[bind(A,$thf( E )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( meet @ E @ F ))]]) ).
thf(50,plain,
! [B: $i,A: $i] :
( ( join @ ( meet @ A @ B ) @ A )
= A ),
inference(simp,[status(thm)],[45]) ).
thf(3,axiom,
! [B: $i,A: $i] :
( ( meet @ A @ B )
= ( meet @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity) ).
thf(18,plain,
! [B: $i,A: $i] :
( ( meet @ A @ B )
= ( meet @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(19,plain,
! [B: $i,A: $i] :
( ( meet @ A @ B )
= ( meet @ B @ A ) ),
inference(lifteq,[status(thm)],[18]) ).
thf(63,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A
= ( meet @ C @ D ) )
| ( ( meet @ A @ ( join @ A @ B ) )
!= ( meet @ D @ C ) ) ),
inference(paramod_ordered,[status(thm)],[29,19]) ).
thf(64,plain,
! [B: $i,A: $i] :
( ( meet @ ( join @ A @ B ) @ A )
= A ),
inference(pattern_uni,[status(thm)],[63:[bind(A,$thf( E )),bind(B,$thf( F )),bind(C,$thf( join @ E @ F )),bind(D,$thf( E ))]]) ).
thf(68,plain,
! [B: $i,A: $i] :
( ( meet @ ( join @ A @ B ) @ A )
= A ),
inference(simp,[status(thm)],[64]) ).
thf(2,negated_conjecture,
( ( upme @ ( meet @ a @ z1 ) @ z2 @ z3 )
!= ( lome @ ( meet @ a @ z1 ) @ z2 @ z3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture_1) ).
thf(14,plain,
( ( upme @ ( meet @ a @ z1 ) @ z2 @ z3 )
!= ( lome @ ( meet @ a @ z1 ) @ z2 @ z3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(16,plain,
( ( upme @ ( meet @ a @ z1 ) @ z2 @ z3 )
!= ( lome @ ( meet @ a @ z1 ) @ z2 @ z3 ) ),
inference(polarity_switch,[status(thm)],[14]) ).
thf(17,plain,
( ( lome @ ( meet @ a @ z1 ) @ z2 @ z3 )
!= ( upme @ ( meet @ a @ z1 ) @ z2 @ z3 ) ),
inference(lifteq,[status(thm)],[16]) ).
thf(581,plain,
! [B: $i,A: $i] :
( ( ( lome @ A @ z2 @ z3 )
!= ( upme @ ( meet @ a @ z1 ) @ z2 @ z3 ) )
| ( ( meet @ ( join @ A @ B ) @ A )
!= ( meet @ a @ z1 ) ) ),
inference(paramod_ordered,[status(thm)],[68,17]) ).
thf(621,plain,
! [B: $i,A: $i] :
( ( ( lome @ A @ z2 @ z3 )
!= ( upme @ ( meet @ a @ z1 ) @ z2 @ z3 ) )
| ( ( join @ A @ B )
!= a )
| ( A != z1 ) ),
inference(simp,[status(thm)],[581]) ).
thf(643,plain,
! [A: $i] :
( ( ( lome @ z1 @ z2 @ z3 )
!= ( upme @ ( meet @ a @ z1 ) @ z2 @ z3 ) )
| ( ( join @ z1 @ A )
!= a ) ),
inference(simp,[status(thm)],[621]) ).
thf(659,plain,
! [C: $i,B: $i,A: $i] :
( ( ( lome @ z1 @ z2 @ z3 )
!= ( upme @ ( meet @ a @ z1 ) @ z2 @ z3 ) )
| ( A != a )
| ( ( join @ ( meet @ A @ B ) @ A )
!= ( join @ z1 @ C ) ) ),
inference(paramod_ordered,[status(thm)],[50,643]) ).
thf(661,plain,
! [B: $i,A: $i] :
( ( ( lome @ z1 @ z2 @ z3 )
!= ( upme @ ( meet @ a @ z1 ) @ z2 @ z3 ) )
| ( ( meet @ a @ A )
!= z1 )
| ( a != B ) ),
inference(simp,[status(thm)],[659]) ).
thf(663,plain,
! [A: $i] :
( ( ( lome @ z1 @ z2 @ z3 )
!= ( upme @ ( meet @ a @ z1 ) @ z2 @ z3 ) )
| ( ( meet @ a @ A )
!= z1 ) ),
inference(simp,[status(thm)],[661]) ).
thf(9,axiom,
! [C: $i,B: $i,A: $i] :
( ( upme @ A @ B @ C )
= ( meet @ A @ ( join @ B @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_of_upme) ).
thf(30,plain,
! [C: $i,B: $i,A: $i] :
( ( upme @ A @ B @ C )
= ( meet @ A @ ( join @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(31,plain,
! [C: $i,B: $i,A: $i] :
( ( upme @ A @ B @ C )
= ( meet @ A @ ( join @ B @ C ) ) ),
inference(lifteq,[status(thm)],[30]) ).
thf(1141,plain,
! [A: $i] :
( ( ( lome @ z1 @ z2 @ z3 )
!= ( meet @ ( meet @ a @ z1 ) @ ( join @ z2 @ z3 ) ) )
| ( ( meet @ a @ A )
!= z1 ) ),
inference(rewrite,[status(thm)],[663,31]) ).
thf(1142,plain,
! [C: $i,B: $i,A: $i] :
( ( ( lome @ z1 @ z2 @ z3 )
!= ( meet @ ( meet @ a @ z1 ) @ ( join @ z2 @ z3 ) ) )
| ( A != z1 )
| ( ( meet @ A @ ( join @ A @ B ) )
!= ( meet @ a @ C ) ) ),
inference(paramod_ordered,[status(thm)],[29,1141]) ).
thf(1143,plain,
( ( ( lome @ z1 @ z2 @ z3 )
!= ( meet @ ( meet @ a @ z1 ) @ ( join @ z2 @ z3 ) ) )
| ( z1 != a ) ),
inference(pattern_uni,[status(thm)],[1142:[bind(A,$thf( a )),bind(B,$thf( E )),bind(C,$thf( join @ a @ E ))]]) ).
thf(10,axiom,
! [C: $i,B: $i,A: $i] :
( ( lome @ A @ B @ C )
= ( join @ ( meet @ A @ B ) @ ( meet @ A @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_of_lome) ).
thf(32,plain,
! [C: $i,B: $i,A: $i] :
( ( lome @ A @ B @ C )
= ( join @ ( meet @ A @ B ) @ ( meet @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(33,plain,
! [C: $i,B: $i,A: $i] :
( ( lome @ A @ B @ C )
= ( join @ ( meet @ A @ B ) @ ( meet @ A @ C ) ) ),
inference(lifteq,[status(thm)],[32]) ).
thf(4,axiom,
! [C: $i,B: $i,A: $i] :
( ( meet @ A @ ( meet @ B @ C ) )
= ( meet @ ( meet @ A @ B ) @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
thf(20,plain,
! [C: $i,B: $i,A: $i] :
( ( meet @ A @ ( meet @ B @ C ) )
= ( meet @ ( meet @ A @ B ) @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(21,plain,
! [C: $i,B: $i,A: $i] :
( ( meet @ ( meet @ A @ B ) @ C )
= ( meet @ A @ ( meet @ B @ C ) ) ),
inference(lifteq,[status(thm)],[20]) ).
thf(1269,plain,
( ( ( join @ ( meet @ z1 @ z2 ) @ ( meet @ z1 @ z3 ) )
!= ( meet @ a @ ( meet @ z1 @ ( join @ z2 @ z3 ) ) ) )
| ( z1 != a ) ),
inference(rewrite,[status(thm)],[1143,33,21]) ).
thf(40,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( join @ C @ ( meet @ B @ A ) )
= C )
| ( ( meet @ A @ B )
!= ( meet @ C @ D ) ) ),
inference(paramod_ordered,[status(thm)],[19,27]) ).
thf(41,plain,
! [B: $i,A: $i] :
( ( join @ A @ ( meet @ B @ A ) )
= A ),
inference(pattern_uni,[status(thm)],[40:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( A )),bind(D,$thf( B ))]]) ).
thf(309,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A
= ( join @ D @ C ) )
| ( ( join @ A @ ( meet @ B @ A ) )
!= ( join @ C @ D ) ) ),
inference(paramod_ordered,[status(thm)],[41,23]) ).
thf(310,plain,
! [B: $i,A: $i] :
( ( join @ ( meet @ A @ B ) @ B )
= B ),
inference(pattern_uni,[status(thm)],[309:[bind(A,$thf( F )),bind(B,$thf( E )),bind(C,$thf( F )),bind(D,$thf( meet @ E @ F ))]]) ).
thf(340,plain,
! [B: $i,A: $i] :
( ( join @ ( meet @ A @ B ) @ B )
= B ),
inference(simp,[status(thm)],[310]) ).
thf(765,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( join @ ( meet @ B @ A ) @ D )
= D )
| ( ( meet @ A @ B )
!= ( meet @ C @ D ) ) ),
inference(paramod_ordered,[status(thm)],[19,340]) ).
thf(766,plain,
! [B: $i,A: $i] :
( ( join @ ( meet @ B @ A ) @ B )
= B ),
inference(pattern_uni,[status(thm)],[765:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( A )),bind(D,$thf( B ))]]) ).
thf(588,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( meet @ ( join @ B @ A ) @ C )
= C )
| ( ( join @ A @ B )
!= ( join @ C @ D ) ) ),
inference(paramod_ordered,[status(thm)],[23,68]) ).
thf(589,plain,
! [B: $i,A: $i] :
( ( meet @ ( join @ B @ A ) @ A )
= A ),
inference(pattern_uni,[status(thm)],[588:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( A )),bind(D,$thf( B ))]]) ).
thf(57,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( meet @ C @ ( join @ B @ A ) )
= C )
| ( ( join @ A @ B )
!= ( join @ C @ D ) ) ),
inference(paramod_ordered,[status(thm)],[23,29]) ).
thf(58,plain,
! [B: $i,A: $i] :
( ( meet @ A @ ( join @ B @ A ) )
= A ),
inference(pattern_uni,[status(thm)],[57:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( A )),bind(D,$thf( B ))]]) ).
thf(530,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A
= ( meet @ D @ C ) )
| ( ( meet @ A @ ( join @ B @ A ) )
!= ( meet @ C @ D ) ) ),
inference(paramod_ordered,[status(thm)],[58,19]) ).
thf(531,plain,
! [B: $i,A: $i] :
( ( meet @ ( join @ A @ B ) @ B )
= B ),
inference(pattern_uni,[status(thm)],[530:[bind(A,$thf( F )),bind(B,$thf( E )),bind(C,$thf( F )),bind(D,$thf( join @ E @ F ))]]) ).
thf(571,plain,
! [B: $i,A: $i] :
( ( meet @ ( join @ A @ B ) @ B )
= B ),
inference(simp,[status(thm)],[531]) ).
thf(6,axiom,
! [C: $i,B: $i,A: $i] :
( ( join @ A @ ( join @ B @ C ) )
= ( join @ ( join @ A @ B ) @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_002) ).
thf(24,plain,
! [C: $i,B: $i,A: $i] :
( ( join @ A @ ( join @ B @ C ) )
= ( join @ ( join @ A @ B ) @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(25,plain,
! [C: $i,B: $i,A: $i] :
( ( join @ ( join @ A @ B ) @ C )
= ( join @ A @ ( join @ B @ C ) ) ),
inference(lifteq,[status(thm)],[24]) ).
thf(53,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( join @ C @ A )
= C )
| ( ( meet @ A @ ( join @ A @ B ) )
!= ( meet @ C @ D ) ) ),
inference(paramod_ordered,[status(thm)],[29,27]) ).
thf(54,plain,
! [A: $i] :
( ( join @ A @ A )
= A ),
inference(pattern_uni,[status(thm)],[53:[bind(A,$thf( E )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( join @ E @ F ))]]) ).
thf(70,plain,
! [A: $i] :
( ( join @ A @ A )
= A ),
inference(simp,[status(thm)],[54]) ).
thf(1,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( join @ ( upme @ ( meet @ a @ A ) @ B @ C ) @ ( meet @ B @ C ) )
= ( meet @ ( join @ ( meet @ ( meet @ a @ A ) @ B ) @ C ) @ ( join @ ( meet @ ( meet @ a @ A ) @ C ) @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture) ).
thf(13,plain,
! [C: $i,B: $i,A: $i] :
( ( join @ ( upme @ ( meet @ a @ A ) @ B @ C ) @ ( meet @ B @ C ) )
= ( meet @ ( join @ ( meet @ ( meet @ a @ A ) @ B ) @ C ) @ ( join @ ( meet @ ( meet @ a @ A ) @ C ) @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(11,axiom,
! [C: $i,B: $i,A: $i] :
( ( upjo @ A @ B @ C )
= ( meet @ ( join @ A @ B ) @ ( join @ A @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_of_upjo) ).
thf(34,plain,
! [C: $i,B: $i,A: $i] :
( ( upjo @ A @ B @ C )
= ( meet @ ( join @ A @ B ) @ ( join @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(55,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( meet @ C @ A )
= C )
| ( ( join @ A @ ( meet @ A @ B ) )
!= ( join @ C @ D ) ) ),
inference(paramod_ordered,[status(thm)],[27,29]) ).
thf(56,plain,
! [A: $i] :
( ( meet @ A @ A )
= A ),
inference(pattern_uni,[status(thm)],[55:[bind(A,$thf( E )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( meet @ E @ F ))]]) ).
thf(71,plain,
! [A: $i] :
( ( meet @ A @ A )
= A ),
inference(simp,[status(thm)],[56]) ).
thf(381,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( join @ ( meet @ B @ A ) @ C )
= C )
| ( ( meet @ A @ B )
!= ( meet @ C @ D ) ) ),
inference(paramod_ordered,[status(thm)],[19,50]) ).
thf(382,plain,
! [B: $i,A: $i] :
( ( join @ ( meet @ B @ A ) @ A )
= A ),
inference(pattern_uni,[status(thm)],[381:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( A )),bind(D,$thf( B ))]]) ).
thf(653,plain,
! [C: $i,B: $i,A: $i] :
( ( ( lome @ z1 @ z2 @ z3 )
!= ( upme @ ( meet @ a @ z1 ) @ z2 @ z3 ) )
| ( ( join @ B @ A )
!= a )
| ( ( join @ A @ B )
!= ( join @ z1 @ C ) ) ),
inference(paramod_ordered,[status(thm)],[23,643]) ).
thf(654,plain,
! [A: $i] :
( ( ( lome @ z1 @ z2 @ z3 )
!= ( upme @ ( meet @ a @ z1 ) @ z2 @ z3 ) )
| ( ( join @ A @ z1 )
!= a ) ),
inference(pattern_uni,[status(thm)],[653:[bind(A,$thf( z1 )),bind(B,$thf( B )),bind(C,$thf( B ))]]) ).
thf(664,plain,
! [A: $i] :
( ( ( lome @ z1 @ z2 @ z3 )
!= ( upme @ ( meet @ a @ z1 ) @ z2 @ z3 ) )
| ( ( join @ A @ z1 )
!= a ) ),
inference(simp,[status(thm)],[654]) ).
thf(1432,plain,
! [A: $i] :
( ( ( meet @ ( meet @ a @ z1 ) @ ( join @ z2 @ z3 ) )
!= ( join @ ( meet @ z1 @ z2 ) @ ( meet @ z1 @ z3 ) ) )
| ( ( join @ A @ z1 )
!= a ) ),
inference(rewrite,[status(thm)],[664,33,31]) ).
thf(12,axiom,
! [C: $i,B: $i,A: $i] :
( ( lojo @ A @ B @ C )
= ( join @ A @ ( meet @ B @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_of_lojo) ).
thf(36,plain,
! [C: $i,B: $i,A: $i] :
( ( lojo @ A @ B @ C )
= ( join @ A @ ( meet @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(33422,plain,
$false,
inference(cvc4,[status(thm)],[1269,340,14,766,589,18,571,58,68,24,25,20,29,28,70,21,33,13,41,32,34,22,27,71,382,50,1432,31,26,23,36,30,19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT399-2 : TPTP v8.1.2. Released v8.1.0.
% 0.11/0.15 % Command : run_Leo-III %s %d
% 0.14/0.36 % Computer : n025.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu May 18 14:27:04 EDT 2023
% 0.14/0.36 % CPUTime :
% 1.06/0.94 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.20/1.07 % [INFO] Parsing done (124ms).
% 1.20/1.08 % [INFO] Running in sequential loop mode.
% 1.66/1.31 % [INFO] eprover registered as external prover.
% 1.66/1.31 % [INFO] cvc4 registered as external prover.
% 1.66/1.31 % [INFO] Scanning for conjecture ...
% 1.86/1.37 % [INFO] Found a conjecture and 10 axioms. Running axiom selection ...
% 2.04/1.40 % [INFO] Axiom selection finished. Selected 10 axioms (removed 0 axioms).
% 2.04/1.41 % [INFO] Problem is propositional (TPTP CNF).
% 2.04/1.41 % [INFO] Type checking passed.
% 2.04/1.41 % [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 ...
% 90.72/22.23 % External prover 'cvc4' found a proof!
% 90.72/22.23 % [INFO] Killing All external provers ...
% 90.72/22.24 % Time passed: 21726ms (effective reasoning time: 21155ms)
% 90.72/22.24 % 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)>
% 90.72/22.24 % Axioms used in derivation (10): definition_of_upjo, associativity, absorption, definition_of_lome, commutativity, associativity_002, definition_of_lojo, absorption_003, definition_of_upme, commutativity_001
% 90.72/22.24 % No. of inferences in proof: 77
% 90.72/22.24 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 21726 ms resp. 21155 ms w/o parsing
% 91.10/22.29 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 91.10/22.29 % [INFO] Killing All external provers ...
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